%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV505-1.040 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:34:13 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.48s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWV505-1.040 : TPTP v9.0.0. Released v4.0.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 09:57:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.20/0.48 % SZS status Unsatisfiable
% 0.20/0.48 % SZS output start Proof
% 0.20/0.48 tff(select_type, type, (
% 0.20/0.48 select: ( $i * $i ) > $i)).
% 0.20/0.48 tff(sk_type, type, (
% 0.20/0.48 sk: ( $i * $i ) > $i)).
% 0.20/0.48 tff(a_1489_type, type, (
% 0.20/0.48 a_1489: $i)).
% 0.20/0.48 tff(a_1449_type, type, (
% 0.20/0.48 a_1449: $i)).
% 0.20/0.48 tff(store_type, type, (
% 0.20/0.48 store: ( $i * $i * $i ) > $i)).
% 0.20/0.48 tff(e40_type, type, (
% 0.20/0.48 e40: $i)).
% 0.20/0.48 tff(i40_type, type, (
% 0.20/0.48 i40: $i)).
% 0.20/0.48 tff(a_1475_type, type, (
% 0.20/0.48 a_1475: $i)).
% 0.20/0.48 tff(e38_type, type, (
% 0.20/0.48 e38: $i)).
% 0.20/0.48 tff(i38_type, type, (
% 0.20/0.48 i38: $i)).
% 0.20/0.48 tff(e_1492_type, type, (
% 0.20/0.48 e_1492: $i)).
% 0.20/0.48 tff(e_1491_type, type, (
% 0.20/0.48 e_1491: $i)).
% 0.20/0.48 tff(i_1490_type, type, (
% 0.20/0.48 i_1490: $i)).
% 0.20/0.48 tff(e39_type, type, (
% 0.20/0.48 e39: $i)).
% 0.20/0.48 tff(i39_type, type, (
% 0.20/0.48 i39: $i)).
% 0.20/0.48 tff(a_1447_type, type, (
% 0.20/0.48 a_1447: $i)).
% 0.20/0.48 tff(i19_type, type, (
% 0.20/0.48 i19: $i)).
% 0.20/0.48 tff(e19_type, type, (
% 0.20/0.48 e19: $i)).
% 0.20/0.48 tff(e29_type, type, (
% 0.20/0.48 e29: $i)).
% 0.20/0.48 tff(i29_type, type, (
% 0.20/0.48 i29: $i)).
% 0.20/0.48 tff(a_1487_type, type, (
% 0.20/0.48 a_1487: $i)).
% 0.20/0.48 tff(a_1488_type, type, (
% 0.20/0.48 a_1488: $i)).
% 0.20/0.48 tff(e28_type, type, (
% 0.20/0.48 e28: $i)).
% 0.20/0.48 tff(i28_type, type, (
% 0.20/0.48 i28: $i)).
% 0.20/0.48 tff(a_1486_type, type, (
% 0.20/0.48 a_1486: $i)).
% 0.20/0.48 tff(a_1477_type, type, (
% 0.20/0.48 a_1477: $i)).
% 0.20/0.48 tff(e1_type, type, (
% 0.20/0.48 e1: $i)).
% 0.20/0.48 tff(i1_type, type, (
% 0.20/0.48 i1: $i)).
% 0.20/0.48 tff(a_1448_type, type, (
% 0.20/0.48 a_1448: $i)).
% 0.20/0.48 tff(a_1446_type, type, (
% 0.20/0.48 a_1446: $i)).
% 0.20/0.48 tff(a_1436_type, type, (
% 0.20/0.48 a_1436: $i)).
% 0.20/0.48 tff(e34_type, type, (
% 0.20/0.48 e34: $i)).
% 0.20/0.48 tff(i34_type, type, (
% 0.20/0.48 i34: $i)).
% 0.20/0.48 tff(a_1485_type, type, (
% 0.20/0.48 a_1485: $i)).
% 0.20/0.48 tff(e27_type, type, (
% 0.20/0.48 e27: $i)).
% 0.20/0.48 tff(i27_type, type, (
% 0.20/0.48 i27: $i)).
% 0.20/0.48 tff(a_1435_type, type, (
% 0.20/0.48 a_1435: $i)).
% 0.20/0.48 tff(a_1437_type, type, (
% 0.20/0.48 a_1437: $i)).
% 0.20/0.48 tff(e30_type, type, (
% 0.20/0.48 e30: $i)).
% 0.20/0.48 tff(i30_type, type, (
% 0.20/0.48 i30: $i)).
% 0.20/0.48 tff(a_1438_type, type, (
% 0.20/0.48 a_1438: $i)).
% 0.20/0.48 tff(e31_type, type, (
% 0.20/0.48 e31: $i)).
% 0.20/0.48 tff(i31_type, type, (
% 0.20/0.48 i31: $i)).
% 0.20/0.48 tff(a_1439_type, type, (
% 0.20/0.48 a_1439: $i)).
% 0.20/0.48 tff(e32_type, type, (
% 0.20/0.48 e32: $i)).
% 0.20/0.48 tff(i32_type, type, (
% 0.20/0.48 i32: $i)).
% 0.20/0.48 tff(a_1440_type, type, (
% 0.20/0.48 a_1440: $i)).
% 0.20/0.48 tff(e33_type, type, (
% 0.20/0.48 e33: $i)).
% 0.20/0.48 tff(i33_type, type, (
% 0.20/0.48 i33: $i)).
% 0.20/0.48 tff(a_1441_type, type, (
% 0.20/0.48 a_1441: $i)).
% 0.20/0.48 tff(a_1442_type, type, (
% 0.20/0.48 a_1442: $i)).
% 0.20/0.48 tff(e35_type, type, (
% 0.20/0.48 e35: $i)).
% 0.20/0.48 tff(i35_type, type, (
% 0.20/0.48 i35: $i)).
% 0.20/0.48 tff(a_1443_type, type, (
% 0.20/0.48 a_1443: $i)).
% 0.20/0.48 tff(e36_type, type, (
% 0.20/0.48 e36: $i)).
% 0.20/0.48 tff(i36_type, type, (
% 0.20/0.48 i36: $i)).
% 0.20/0.48 tff(a_1444_type, type, (
% 0.20/0.48 a_1444: $i)).
% 0.20/0.48 tff(e37_type, type, (
% 0.20/0.48 e37: $i)).
% 0.20/0.48 tff(i37_type, type, (
% 0.20/0.48 i37: $i)).
% 0.20/0.48 tff(a_1445_type, type, (
% 0.20/0.48 a_1445: $i)).
% 0.20/0.48 tff(a_1459_type, type, (
% 0.20/0.48 a_1459: $i)).
% 0.20/0.48 tff(e15_type, type, (
% 0.20/0.48 e15: $i)).
% 0.20/0.48 tff(i15_type, type, (
% 0.20/0.48 i15: $i)).
% 0.20/0.48 tff(a_1484_type, type, (
% 0.20/0.48 a_1484: $i)).
% 0.20/0.48 tff(a_1483_type, type, (
% 0.20/0.48 a_1483: $i)).
% 0.20/0.48 tff(e4_type, type, (
% 0.20/0.48 e4: $i)).
% 0.20/0.48 tff(i4_type, type, (
% 0.20/0.48 i4: $i)).
% 0.20/0.48 tff(a_1482_type, type, (
% 0.20/0.48 a_1482: $i)).
% 0.20/0.48 tff(e5_type, type, (
% 0.20/0.48 e5: $i)).
% 0.20/0.48 tff(i5_type, type, (
% 0.20/0.48 i5: $i)).
% 0.20/0.48 tff(a_1481_type, type, (
% 0.20/0.48 a_1481: $i)).
% 0.20/0.48 tff(e3_type, type, (
% 0.20/0.48 e3: $i)).
% 0.20/0.48 tff(i3_type, type, (
% 0.20/0.48 i3: $i)).
% 0.20/0.48 tff(a_1480_type, type, (
% 0.20/0.48 a_1480: $i)).
% 0.20/0.48 tff(e9_type, type, (
% 0.20/0.48 e9: $i)).
% 0.20/0.48 tff(i9_type, type, (
% 0.20/0.48 i9: $i)).
% 0.20/0.48 tff(a_1479_type, type, (
% 0.20/0.48 a_1479: $i)).
% 0.20/0.48 tff(a_1478_type, type, (
% 0.20/0.48 a_1478: $i)).
% 0.20/0.48 tff(a_1476_type, type, (
% 0.20/0.48 a_1476: $i)).
% 0.20/0.48 tff(i16_type, type, (
% 0.20/0.48 i16: $i)).
% 0.20/0.48 tff(a_1423_type, type, (
% 0.20/0.48 a_1423: $i)).
% 0.20/0.48 tff(e16_type, type, (
% 0.20/0.48 e16: $i)).
% 0.20/0.48 tff(e14_type, type, (
% 0.20/0.48 e14: $i)).
% 0.20/0.48 tff(i14_type, type, (
% 0.20/0.48 i14: $i)).
% 0.20/0.48 tff(a_1422_type, type, (
% 0.20/0.48 a_1422: $i)).
% 0.20/0.48 tff(e26_type, type, (
% 0.20/0.48 e26: $i)).
% 0.20/0.48 tff(i26_type, type, (
% 0.20/0.48 i26: $i)).
% 0.20/0.48 tff(a_1434_type, type, (
% 0.20/0.48 a_1434: $i)).
% 0.20/0.48 tff(e25_type, type, (
% 0.20/0.48 e25: $i)).
% 0.20/0.48 tff(i25_type, type, (
% 0.20/0.48 i25: $i)).
% 0.20/0.48 tff(a_1433_type, type, (
% 0.20/0.48 a_1433: $i)).
% 0.20/0.48 tff(e24_type, type, (
% 0.20/0.48 e24: $i)).
% 0.20/0.48 tff(i24_type, type, (
% 0.20/0.48 i24: $i)).
% 0.20/0.48 tff(a_1432_type, type, (
% 0.20/0.48 a_1432: $i)).
% 0.20/0.48 tff(e23_type, type, (
% 0.20/0.48 e23: $i)).
% 0.20/0.48 tff(i23_type, type, (
% 0.20/0.48 i23: $i)).
% 0.20/0.48 tff(a_1431_type, type, (
% 0.20/0.48 a_1431: $i)).
% 0.20/0.48 tff(e22_type, type, (
% 0.20/0.48 e22: $i)).
% 0.20/0.48 tff(i22_type, type, (
% 0.20/0.48 i22: $i)).
% 0.20/0.48 tff(a_1430_type, type, (
% 0.20/0.48 a_1430: $i)).
% 0.20/0.48 tff(e21_type, type, (
% 0.20/0.48 e21: $i)).
% 0.20/0.48 tff(i21_type, type, (
% 0.20/0.48 i21: $i)).
% 0.20/0.48 tff(a_1429_type, type, (
% 0.20/0.48 a_1429: $i)).
% 0.20/0.48 tff(e20_type, type, (
% 0.20/0.48 e20: $i)).
% 0.20/0.48 tff(i20_type, type, (
% 0.20/0.48 i20: $i)).
% 0.20/0.48 tff(a_1428_type, type, (
% 0.20/0.48 a_1428: $i)).
% 0.20/0.48 tff(a_1427_type, type, (
% 0.20/0.48 a_1427: $i)).
% 0.20/0.48 tff(e18_type, type, (
% 0.20/0.48 e18: $i)).
% 0.20/0.48 tff(i18_type, type, (
% 0.20/0.48 i18: $i)).
% 0.20/0.48 tff(a_1426_type, type, (
% 0.20/0.48 a_1426: $i)).
% 0.20/0.48 tff(e17_type, type, (
% 0.20/0.48 e17: $i)).
% 0.20/0.48 tff(i17_type, type, (
% 0.20/0.48 i17: $i)).
% 0.20/0.48 tff(a_1425_type, type, (
% 0.20/0.48 a_1425: $i)).
% 0.20/0.48 tff(a_1424_type, type, (
% 0.20/0.48 a_1424: $i)).
% 0.20/0.48 tff(i2_type, type, (
% 0.20/0.48 i2: $i)).
% 0.20/0.48 tff(a_1473_type, type, (
% 0.20/0.48 a_1473: $i)).
% 0.20/0.48 tff(e2_type, type, (
% 0.20/0.48 e2: $i)).
% 0.20/0.48 tff(e8_type, type, (
% 0.20/0.48 e8: $i)).
% 0.20/0.48 tff(i8_type, type, (
% 0.20/0.48 i8: $i)).
% 0.20/0.48 tff(a_1472_type, type, (
% 0.20/0.48 a_1472: $i)).
% 0.20/0.48 tff(a_1474_type, type, (
% 0.20/0.48 a_1474: $i)).
% 0.20/0.48 tff(a_1412_type, type, (
% 0.20/0.48 a_1412: $i)).
% 0.20/0.48 tff(a_1411_type, type, (
% 0.20/0.48 a_1411: $i)).
% 0.20/0.48 tff(e13_type, type, (
% 0.20/0.48 e13: $i)).
% 0.20/0.48 tff(i13_type, type, (
% 0.20/0.48 i13: $i)).
% 0.20/0.48 tff(a_1421_type, type, (
% 0.20/0.48 a_1421: $i)).
% 0.20/0.48 tff(e12_type, type, (
% 0.20/0.48 e12: $i)).
% 0.20/0.48 tff(i12_type, type, (
% 0.20/0.48 i12: $i)).
% 0.20/0.48 tff(a_1420_type, type, (
% 0.20/0.48 a_1420: $i)).
% 0.20/0.48 tff(e11_type, type, (
% 0.20/0.48 e11: $i)).
% 0.20/0.48 tff(i11_type, type, (
% 0.20/0.48 i11: $i)).
% 0.20/0.48 tff(a_1419_type, type, (
% 0.20/0.48 a_1419: $i)).
% 0.20/0.48 tff(e10_type, type, (
% 0.20/0.48 e10: $i)).
% 0.20/0.48 tff(i10_type, type, (
% 0.20/0.48 i10: $i)).
% 0.20/0.48 tff(a_1418_type, type, (
% 0.20/0.48 a_1418: $i)).
% 0.20/0.48 tff(a_1417_type, type, (
% 0.20/0.48 a_1417: $i)).
% 0.20/0.48 tff(a_1416_type, type, (
% 0.20/0.48 a_1416: $i)).
% 0.20/0.48 tff(e7_type, type, (
% 0.20/0.48 e7: $i)).
% 0.20/0.48 tff(i7_type, type, (
% 0.20/0.48 i7: $i)).
% 0.20/0.48 tff(a_1415_type, type, (
% 0.20/0.48 a_1415: $i)).
% 0.20/0.48 tff(e6_type, type, (
% 0.20/0.48 e6: $i)).
% 0.20/0.48 tff(i6_type, type, (
% 0.20/0.48 i6: $i)).
% 0.20/0.48 tff(a_1414_type, type, (
% 0.20/0.48 a_1414: $i)).
% 0.20/0.48 tff(a_1413_type, type, (
% 0.20/0.48 a_1413: $i)).
% 0.20/0.48 tff(a_1456_type, type, (
% 0.20/0.48 a_1456: $i)).
% 0.20/0.48 tff(a_1455_type, type, (
% 0.20/0.48 a_1455: $i)).
% 0.20/0.48 tff(a_1471_type, type, (
% 0.20/0.48 a_1471: $i)).
% 0.20/0.48 tff(a_1470_type, type, (
% 0.20/0.48 a_1470: $i)).
% 0.20/0.48 tff(a_1469_type, type, (
% 0.20/0.48 a_1469: $i)).
% 0.20/0.48 tff(a_1468_type, type, (
% 0.20/0.48 a_1468: $i)).
% 0.20/0.48 tff(a_1467_type, type, (
% 0.20/0.48 a_1467: $i)).
% 0.20/0.48 tff(a_1466_type, type, (
% 0.20/0.48 a_1466: $i)).
% 0.20/0.48 tff(a_1465_type, type, (
% 0.20/0.48 a_1465: $i)).
% 0.20/0.48 tff(a_1464_type, type, (
% 0.20/0.48 a_1464: $i)).
% 0.20/0.48 tff(a_1463_type, type, (
% 0.20/0.48 a_1463: $i)).
% 0.20/0.48 tff(a_1462_type, type, (
% 0.20/0.48 a_1462: $i)).
% 0.20/0.48 tff(a_1461_type, type, (
% 0.20/0.48 a_1461: $i)).
% 0.20/0.48 tff(a_1460_type, type, (
% 0.20/0.48 a_1460: $i)).
% 0.20/0.48 tff(a_1458_type, type, (
% 0.20/0.48 a_1458: $i)).
% 0.20/0.48 tff(a_1457_type, type, (
% 0.20/0.48 a_1457: $i)).
% 0.20/0.48 tff(a1_type, type, (
% 0.20/0.48 a1: $i)).
% 0.20/0.48 tff(a_1410_type, type, (
% 0.20/0.48 a_1410: $i)).
% 0.20/0.48 tff(a_1453_type, type, (
% 0.20/0.48 a_1453: $i)).
% 0.20/0.48 tff(a_1452_type, type, (
% 0.20/0.48 a_1452: $i)).
% 0.20/0.48 tff(a_1454_type, type, (
% 0.20/0.48 a_1454: $i)).
% 0.20/0.48 tff(a_1451_type, type, (
% 0.20/0.48 a_1451: $i)).
% 0.20/0.48 tff(a_1450_type, type, (
% 0.20/0.48 a_1450: $i)).
% 0.20/0.48 tff(1,plain,
% 0.20/0.48 ((e_1492 = e_1491) <=> (e_1491 = e_1492)),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(2,plain,
% 0.20/0.48 ((e_1491 = select(a_1449, i_1490)) <=> (e_1491 = select(a_1449, i_1490))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(3,axiom,(e_1491 = select(a_1449, i_1490)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp80')).
% 0.20/0.48 tff(4,plain,
% 0.20/0.48 (e_1491 = select(a_1449, i_1490)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.48 tff(5,plain,
% 0.20/0.48 (select(a_1449, i_1490) = e_1491),
% 0.20/0.48 inference(symmetry,[status(thm)],[4])).
% 0.20/0.48 tff(6,plain,
% 0.20/0.48 ((i_1490 = sk(a_1449, a_1489)) <=> (i_1490 = sk(a_1449, a_1489))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(7,axiom,(i_1490 = sk(a_1449, a_1489)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp82')).
% 0.20/0.48 tff(8,plain,
% 0.20/0.48 (i_1490 = sk(a_1449, a_1489)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.48 tff(9,plain,
% 0.20/0.48 (sk(a_1449, a_1489) = i_1490),
% 0.20/0.48 inference(symmetry,[status(thm)],[8])).
% 0.20/0.48 tff(10,plain,
% 0.20/0.48 ((e_1492 = select(a_1489, i_1490)) <=> (e_1492 = select(a_1489, i_1490))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(11,axiom,(e_1492 = select(a_1489, i_1490)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp81')).
% 0.20/0.48 tff(12,plain,
% 0.20/0.48 (e_1492 = select(a_1489, i_1490)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.20/0.48 tff(13,plain,
% 0.20/0.48 (select(a_1489, i_1490) = e_1492),
% 0.20/0.48 inference(symmetry,[status(thm)],[12])).
% 0.20/0.48 tff(14,assumption,(~(i40 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.48 tff(15,plain,
% 0.20/0.48 ((a_1488 = store(a_1487, i29, e29)) <=> (a_1488 = store(a_1487, i29, e29))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(16,axiom,(a_1488 = store(a_1487, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp78')).
% 0.20/0.49 tff(17,plain,
% 0.20/0.49 (a_1488 = store(a_1487, i29, e29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.49 tff(18,plain,
% 0.20/0.49 (store(a_1487, i29, e29) = a_1488),
% 0.20/0.49 inference(symmetry,[status(thm)],[17])).
% 0.20/0.49 tff(19,plain,
% 0.20/0.49 (store(store(a_1487, i29, e29), i19, e19) = store(a_1488, i19, e19)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[18])).
% 0.20/0.49 tff(20,plain,
% 0.20/0.49 (store(a_1488, i19, e19) = store(store(a_1487, i29, e29), i19, e19)),
% 0.20/0.49 inference(symmetry,[status(thm)],[19])).
% 0.20/0.49 tff(21,plain,
% 0.20/0.49 ((a_1489 = store(a_1488, i19, e19)) <=> (a_1489 = store(a_1488, i19, e19))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(22,axiom,(a_1489 = store(a_1488, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp79')).
% 0.20/0.49 tff(23,plain,
% 0.20/0.49 (a_1489 = store(a_1488, i19, e19)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.20/0.49 tff(24,plain,
% 0.20/0.49 (a_1489 = store(store(a_1487, i29, e29), i19, e19)),
% 0.20/0.49 inference(transitivity,[status(thm)],[23, 20])).
% 0.20/0.49 tff(25,plain,
% 0.20/0.49 (select(a_1489, i_1490) = select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[24, 8])).
% 0.20/0.49 tff(26,plain,
% 0.20/0.49 (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(a_1489, i_1490)),
% 0.20/0.49 inference(symmetry,[status(thm)],[25])).
% 0.20/0.49 tff(27,assumption,(~(i19 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.49 tff(28,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(29,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(30,axiom,(![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a2')).
% 0.20/0.49 tff(31,plain,
% 0.20/0.49 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.20/0.49 tff(32,plain,(
% 0.20/0.49 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[31])).
% 0.20/0.49 tff(33,plain,
% 0.20/0.49 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.49 tff(34,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1449, a_1489)) | (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1449, a_1489)) | (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(35,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1449, a_1489)) | (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(36,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1449, a_1489)) | (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.49 tff(37,plain,
% 0.20/0.49 ((i19 = sk(a_1449, a_1489)) | (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[36, 33])).
% 0.20/0.49 tff(38,plain,
% 0.20/0.49 (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[37, 27])).
% 0.20/0.49 tff(39,plain,
% 0.20/0.49 (select(store(a_1487, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[38])).
% 0.20/0.49 tff(40,plain,
% 0.20/0.49 ((a_1449 = store(a_1448, i40, e40)) <=> (a_1449 = store(a_1448, i40, e40))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(41,axiom,(a_1449 = store(a_1448, i40, e40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp39')).
% 0.20/0.49 tff(42,plain,
% 0.20/0.49 (a_1449 = store(a_1448, i40, e40)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.49 tff(43,plain,
% 0.20/0.49 (store(a_1448, i40, e40) = a_1449),
% 0.20/0.49 inference(symmetry,[status(thm)],[42])).
% 0.20/0.49 tff(44,plain,
% 0.20/0.49 ((a_1448 = store(a_1447, i39, e39)) <=> (a_1448 = store(a_1447, i39, e39))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(45,axiom,(a_1448 = store(a_1447, i39, e39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp38')).
% 0.20/0.49 tff(46,plain,
% 0.20/0.49 (a_1448 = store(a_1447, i39, e39)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.20/0.49 tff(47,plain,
% 0.20/0.49 (store(a_1447, i39, e39) = a_1448),
% 0.20/0.49 inference(symmetry,[status(thm)],[46])).
% 0.20/0.49 tff(48,plain,
% 0.20/0.49 (store(store(a_1447, i39, e39), i40, e40) = store(a_1448, i40, e40)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[47])).
% 0.20/0.49 tff(49,plain,
% 0.20/0.49 (store(store(a_1447, i39, e39), i40, e40) = a_1449),
% 0.20/0.49 inference(transitivity,[status(thm)],[48, 43])).
% 0.20/0.49 tff(50,plain,
% 0.20/0.49 (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(a_1449, i_1490)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[49, 9])).
% 0.20/0.49 tff(51,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1449, a_1489)) | (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1449, a_1489)) | (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(52,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1449, a_1489)) | (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(53,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1449, a_1489)) | (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.49 tff(54,plain,
% 0.20/0.49 ((i40 = sk(a_1449, a_1489)) | (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[53, 33])).
% 0.20/0.49 tff(55,plain,
% 0.20/0.49 (select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[54, 14])).
% 0.20/0.49 tff(56,plain,
% 0.20/0.49 (select(store(a_1447, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[55])).
% 0.20/0.49 tff(57,assumption,(~(i29 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.49 tff(58,assumption,(~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))), introduced(assumption)).
% 0.20/0.49 tff(59,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1449, a_1489)) | (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1449, a_1489)) | (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(60,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1449, a_1489)) | (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(61,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1449, a_1489)) | (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.49 tff(62,plain,
% 0.20/0.49 ($false),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[61, 33, 57, 58])).
% 0.20/0.49 tff(63,plain,((select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))) | (i29 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49 tff(64,plain,
% 0.20/0.49 (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[63, 57])).
% 0.20/0.49 tff(65,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1449, a_1489)) | (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1449, a_1489)) | (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(66,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1449, a_1489)) | (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(67,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1449, a_1489)) | (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.20/0.49 tff(68,plain,
% 0.20/0.49 ((i29 = sk(a_1449, a_1489)) | (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[67, 33])).
% 0.20/0.49 tff(69,plain,
% 0.20/0.49 (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[68, 57])).
% 0.20/0.49 tff(70,assumption,(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.49 tff(71,plain,
% 0.20/0.49 (select(store(a_1487, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[70])).
% 0.20/0.49 tff(72,plain,
% 0.20/0.49 ((a_1487 = store(a_1486, i28, e28)) <=> (a_1487 = store(a_1486, i28, e28))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(73,axiom,(a_1487 = store(a_1486, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp77')).
% 0.20/0.49 tff(74,plain,
% 0.20/0.49 (a_1487 = store(a_1486, i28, e28)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.20/0.49 tff(75,plain,
% 0.20/0.49 (store(a_1486, i28, e28) = a_1487),
% 0.20/0.49 inference(symmetry,[status(thm)],[74])).
% 0.20/0.49 tff(76,plain,
% 0.20/0.49 (store(store(a_1486, i28, e28), i29, e29) = store(a_1487, i29, e29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[75])).
% 0.20/0.49 tff(77,plain,
% 0.20/0.49 (store(a_1487, i29, e29) = store(store(a_1486, i28, e28), i29, e29)),
% 0.20/0.49 inference(symmetry,[status(thm)],[76])).
% 0.20/0.49 tff(78,plain,
% 0.20/0.49 (select(store(a_1487, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[77])).
% 0.20/0.49 tff(79,plain,
% 0.20/0.49 (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[78])).
% 0.20/0.49 tff(80,assumption,(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.49 tff(81,plain,
% 0.20/0.49 (select(store(a_1486, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[80])).
% 0.20/0.49 tff(82,assumption,(i28 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.20/0.49 tff(83,plain,
% 0.20/0.49 (sk(a_1449, a_1489) = i28),
% 0.20/0.49 inference(symmetry,[status(thm)],[82])).
% 0.20/0.49 tff(84,plain,
% 0.20/0.49 ((a_1486 = store(a_1485, i34, e34)) <=> (a_1486 = store(a_1485, i34, e34))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(85,axiom,(a_1486 = store(a_1485, i34, e34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp76')).
% 0.20/0.49 tff(86,plain,
% 0.20/0.49 (a_1486 = store(a_1485, i34, e34)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.49 tff(87,plain,
% 0.20/0.49 (store(a_1485, i34, e34) = a_1486),
% 0.20/0.49 inference(symmetry,[status(thm)],[86])).
% 0.20/0.49 tff(88,plain,
% 0.20/0.49 (store(store(a_1485, i34, e34), i28, e28) = store(a_1486, i28, e28)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[87])).
% 0.20/0.49 tff(89,plain,
% 0.20/0.49 (store(a_1486, i28, e28) = store(store(a_1485, i34, e34), i28, e28)),
% 0.20/0.49 inference(symmetry,[status(thm)],[88])).
% 0.20/0.49 tff(90,plain,
% 0.20/0.49 (select(store(a_1486, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), i28)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[89, 83])).
% 0.20/0.49 tff(91,plain,
% 0.20/0.49 (select(store(store(a_1485, i34, e34), i28, e28), i28) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.49 inference(symmetry,[status(thm)],[90])).
% 0.20/0.49 tff(92,plain,
% 0.20/0.49 (![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)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(93,plain,
% 0.20/0.49 (![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)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(94,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a1')).
% 0.20/0.49 tff(95,plain,
% 0.20/0.49 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.49 tff(96,plain,(
% 0.20/0.49 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.49 inference(skolemize,[status(sab)],[95])).
% 0.20/0.49 tff(97,plain,
% 0.20/0.49 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[96, 92])).
% 0.20/0.49 tff(98,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1485, i34, e34), i28, e28), i28) = e28)),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(99,plain,
% 0.20/0.49 (select(store(store(a_1485, i34, e34), i28, e28), i28) = e28),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.20/0.49 tff(100,plain,
% 0.20/0.49 (e28 = select(store(store(a_1485, i34, e34), i28, e28), i28)),
% 0.20/0.49 inference(symmetry,[status(thm)],[99])).
% 0.20/0.49 tff(101,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1435, i27, e27), i28, e28), i28) = e28)),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(102,plain,
% 0.20/0.49 (select(store(store(a_1435, i27, e27), i28, e28), i28) = e28),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[101, 97])).
% 0.20/0.49 tff(103,plain,
% 0.20/0.49 ((a_1436 = store(a_1435, i27, e27)) <=> (a_1436 = store(a_1435, i27, e27))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(104,axiom,(a_1436 = store(a_1435, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp26')).
% 0.20/0.49 tff(105,plain,
% 0.20/0.49 (a_1436 = store(a_1435, i27, e27)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.20/0.49 tff(106,plain,
% 0.20/0.49 (store(a_1435, i27, e27) = a_1436),
% 0.20/0.49 inference(symmetry,[status(thm)],[105])).
% 0.20/0.50 tff(107,plain,
% 0.20/0.50 (store(store(a_1435, i27, e27), i28, e28) = store(a_1436, i28, e28)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[106])).
% 0.20/0.50 tff(108,plain,
% 0.20/0.50 (select(store(store(a_1435, i27, e27), i28, e28), i28) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[107, 82])).
% 0.20/0.50 tff(109,plain,
% 0.20/0.50 (select(store(a_1436, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1435, i27, e27), i28, e28), i28)),
% 0.20/0.50 inference(symmetry,[status(thm)],[108])).
% 0.20/0.50 tff(110,assumption,(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.50 tff(111,plain,
% 0.20/0.50 ((a_1437 = store(a_1436, i28, e28)) <=> (a_1437 = store(a_1436, i28, e28))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(112,axiom,(a_1437 = store(a_1436, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp27')).
% 0.20/0.50 tff(113,plain,
% 0.20/0.50 (a_1437 = store(a_1436, i28, e28)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.20/0.50 tff(114,plain,
% 0.20/0.50 (store(a_1436, i28, e28) = a_1437),
% 0.20/0.50 inference(symmetry,[status(thm)],[113])).
% 0.20/0.50 tff(115,plain,
% 0.20/0.50 (store(store(a_1436, i28, e28), i29, e29) = store(a_1437, i29, e29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[114])).
% 0.20/0.50 tff(116,plain,
% 0.20/0.50 (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[115])).
% 0.20/0.50 tff(117,plain,
% 0.20/0.50 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[116])).
% 0.20/0.50 tff(118,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i30) <=> (i30 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(119,plain,
% 0.20/0.50 ((i28 = i30) <=> (sk(a_1449, a_1489) = i30)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(120,plain,
% 0.20/0.50 ((i28 = i30) <=> (i30 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[119, 118])).
% 0.20/0.50 tff(121,plain,
% 0.20/0.50 ((~(i28 = i30)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[120])).
% 0.20/0.50 tff(122,plain,
% 0.20/0.50 ((~(i28 = i30)) <=> (~(i28 = i30))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(123,axiom,(~(i28 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp159')).
% 0.20/0.50 tff(124,plain,
% 0.20/0.50 (~(i28 = i30)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.50 tff(125,plain,
% 0.20/0.50 (~(i30 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[124, 121])).
% 0.20/0.50 tff(126,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1449, a_1489)) | (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(127,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(128,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1449, a_1489)) | (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.50 tff(129,plain,
% 0.20/0.50 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[128, 33, 125])).
% 0.20/0.50 tff(130,plain,
% 0.20/0.50 ((a_1438 = store(a_1437, i29, e29)) <=> (a_1438 = store(a_1437, i29, e29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(131,axiom,(a_1438 = store(a_1437, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp28')).
% 0.20/0.50 tff(132,plain,
% 0.20/0.50 (a_1438 = store(a_1437, i29, e29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.50 tff(133,plain,
% 0.20/0.50 (store(a_1437, i29, e29) = a_1438),
% 0.20/0.50 inference(symmetry,[status(thm)],[132])).
% 0.20/0.50 tff(134,plain,
% 0.20/0.50 (store(store(a_1437, i29, e29), i30, e30) = store(a_1438, i30, e30)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[133])).
% 0.20/0.50 tff(135,plain,
% 0.20/0.50 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[134])).
% 0.20/0.50 tff(136,plain,
% 0.20/0.50 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[135])).
% 0.20/0.50 tff(137,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(138,plain,
% 0.20/0.50 ((i28 = i31) <=> (sk(a_1449, a_1489) = i31)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(139,plain,
% 0.20/0.50 ((i28 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[138, 137])).
% 0.20/0.50 tff(140,plain,
% 0.20/0.50 ((~(i28 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.50 tff(141,plain,
% 0.20/0.50 ((~(i28 = i31)) <=> (~(i28 = i31))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(142,axiom,(~(i28 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp158')).
% 0.20/0.50 tff(143,plain,
% 0.20/0.50 (~(i28 = i31)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.20/0.50 tff(144,plain,
% 0.20/0.50 (~(i31 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[143, 140])).
% 0.20/0.50 tff(145,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1449, a_1489)) | (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(146,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(147,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1449, a_1489)) | (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.20/0.50 tff(148,plain,
% 0.20/0.50 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[147, 33, 144])).
% 0.20/0.50 tff(149,plain,
% 0.20/0.50 ((a_1439 = store(a_1438, i30, e30)) <=> (a_1439 = store(a_1438, i30, e30))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(150,axiom,(a_1439 = store(a_1438, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp29')).
% 0.20/0.50 tff(151,plain,
% 0.20/0.50 (a_1439 = store(a_1438, i30, e30)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.50 tff(152,plain,
% 0.20/0.50 (store(a_1438, i30, e30) = a_1439),
% 0.20/0.50 inference(symmetry,[status(thm)],[151])).
% 0.20/0.50 tff(153,plain,
% 0.20/0.50 (store(store(a_1438, i30, e30), i31, e31) = store(a_1439, i31, e31)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[152])).
% 0.20/0.50 tff(154,plain,
% 0.20/0.50 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[153])).
% 0.20/0.50 tff(155,plain,
% 0.20/0.50 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[154])).
% 0.20/0.50 tff(156,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(157,plain,
% 0.20/0.50 ((i28 = i32) <=> (sk(a_1449, a_1489) = i32)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(158,plain,
% 0.20/0.50 ((i28 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[157, 156])).
% 0.20/0.50 tff(159,plain,
% 0.20/0.50 ((~(i28 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[158])).
% 0.20/0.50 tff(160,plain,
% 0.20/0.50 ((~(i28 = i32)) <=> (~(i28 = i32))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(161,axiom,(~(i28 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp157')).
% 0.20/0.50 tff(162,plain,
% 0.20/0.50 (~(i28 = i32)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.20/0.50 tff(163,plain,
% 0.20/0.50 (~(i32 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[162, 159])).
% 0.20/0.50 tff(164,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1449, a_1489)) | (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1449, a_1489)) | (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(165,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1449, a_1489)) | (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(166,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1449, a_1489)) | (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.50 tff(167,plain,
% 0.20/0.50 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[166, 33, 163])).
% 0.20/0.50 tff(168,plain,
% 0.20/0.50 ((a_1440 = store(a_1439, i31, e31)) <=> (a_1440 = store(a_1439, i31, e31))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(169,axiom,(a_1440 = store(a_1439, i31, e31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp30')).
% 0.20/0.50 tff(170,plain,
% 0.20/0.50 (a_1440 = store(a_1439, i31, e31)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.20/0.50 tff(171,plain,
% 0.20/0.50 (store(a_1439, i31, e31) = a_1440),
% 0.20/0.50 inference(symmetry,[status(thm)],[170])).
% 0.20/0.50 tff(172,plain,
% 0.20/0.50 (store(store(a_1439, i31, e31), i32, e32) = store(a_1440, i32, e32)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[171])).
% 0.20/0.50 tff(173,plain,
% 0.20/0.50 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[172])).
% 0.20/0.50 tff(174,plain,
% 0.20/0.50 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[173])).
% 0.20/0.50 tff(175,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(176,plain,
% 0.20/0.50 ((i28 = i33) <=> (sk(a_1449, a_1489) = i33)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(177,plain,
% 0.20/0.50 ((i28 = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[176, 175])).
% 0.20/0.50 tff(178,plain,
% 0.20/0.50 ((~(i28 = i33)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[177])).
% 0.20/0.50 tff(179,plain,
% 0.20/0.50 ((~(i28 = i33)) <=> (~(i28 = i33))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(180,axiom,(~(i28 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp156')).
% 0.20/0.50 tff(181,plain,
% 0.20/0.50 (~(i28 = i33)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.20/0.50 tff(182,plain,
% 0.20/0.50 (~(i33 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[181, 178])).
% 0.20/0.50 tff(183,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1449, a_1489)) | (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1449, a_1489)) | (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(184,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1449, a_1489)) | (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(185,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1449, a_1489)) | (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.20/0.50 tff(186,plain,
% 0.20/0.50 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[185, 33, 182])).
% 0.20/0.50 tff(187,plain,
% 0.20/0.50 ((a_1441 = store(a_1440, i32, e32)) <=> (a_1441 = store(a_1440, i32, e32))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(188,axiom,(a_1441 = store(a_1440, i32, e32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp31')).
% 0.20/0.50 tff(189,plain,
% 0.20/0.50 (a_1441 = store(a_1440, i32, e32)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.20/0.50 tff(190,plain,
% 0.20/0.50 (store(a_1440, i32, e32) = a_1441),
% 0.20/0.50 inference(symmetry,[status(thm)],[189])).
% 0.20/0.50 tff(191,plain,
% 0.20/0.50 (store(store(a_1440, i32, e32), i33, e33) = store(a_1441, i33, e33)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[190])).
% 0.20/0.50 tff(192,plain,
% 0.20/0.50 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[191])).
% 0.20/0.50 tff(193,plain,
% 0.20/0.50 (select(store(a_1441, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[192])).
% 0.20/0.50 tff(194,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i34) <=> (i34 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(195,plain,
% 0.20/0.50 ((i28 = i34) <=> (sk(a_1449, a_1489) = i34)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(196,plain,
% 0.20/0.50 ((i28 = i34) <=> (i34 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[195, 194])).
% 0.20/0.50 tff(197,plain,
% 0.20/0.50 ((~(i28 = i34)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[196])).
% 0.20/0.50 tff(198,plain,
% 0.20/0.50 ((~(i28 = i34)) <=> (~(i28 = i34))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(199,axiom,(~(i28 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp155')).
% 0.20/0.50 tff(200,plain,
% 0.20/0.50 (~(i28 = i34)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.20/0.50 tff(201,plain,
% 0.20/0.50 (~(i34 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[200, 197])).
% 0.20/0.50 tff(202,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1449, a_1489)) | (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1449, a_1489)) | (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(203,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1449, a_1489)) | (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(204,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1449, a_1489)) | (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.50 tff(205,plain,
% 0.20/0.50 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[204, 33, 201])).
% 0.20/0.50 tff(206,plain,
% 0.20/0.50 ((a_1442 = store(a_1441, i33, e33)) <=> (a_1442 = store(a_1441, i33, e33))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(207,axiom,(a_1442 = store(a_1441, i33, e33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp32')).
% 0.20/0.50 tff(208,plain,
% 0.20/0.50 (a_1442 = store(a_1441, i33, e33)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.50 tff(209,plain,
% 0.20/0.50 (store(a_1441, i33, e33) = a_1442),
% 0.20/0.50 inference(symmetry,[status(thm)],[208])).
% 0.20/0.50 tff(210,plain,
% 0.20/0.50 (store(store(a_1441, i33, e33), i34, e34) = store(a_1442, i34, e34)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[209])).
% 0.20/0.50 tff(211,plain,
% 0.20/0.50 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[210])).
% 0.20/0.50 tff(212,plain,
% 0.20/0.50 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489))),
% 0.20/0.50 inference(symmetry,[status(thm)],[211])).
% 0.20/0.50 tff(213,plain,
% 0.20/0.50 ((sk(a_1449, a_1489) = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(commutativity,[status(thm)],[])).
% 0.20/0.50 tff(214,plain,
% 0.20/0.50 ((i28 = i35) <=> (sk(a_1449, a_1489) = i35)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.50 tff(215,plain,
% 0.20/0.50 ((i28 = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(transitivity,[status(thm)],[214, 213])).
% 0.20/0.50 tff(216,plain,
% 0.20/0.50 ((~(i28 = i35)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[215])).
% 0.20/0.50 tff(217,plain,
% 0.20/0.50 ((~(i28 = i35)) <=> (~(i28 = i35))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(218,axiom,(~(i28 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp154')).
% 0.20/0.50 tff(219,plain,
% 0.20/0.50 (~(i28 = i35)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.20/0.50 tff(220,plain,
% 0.20/0.50 (~(i35 = sk(a_1449, a_1489))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[219, 216])).
% 0.20/0.50 tff(221,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1449, a_1489)) | (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1449, a_1489)) | (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(222,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1449, a_1489)) | (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(223,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1449, a_1489)) | (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.50 tff(224,plain,
% 0.20/0.50 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[223, 33, 220])).
% 0.20/0.50 tff(225,plain,
% 0.20/0.50 ((a_1443 = store(a_1442, i34, e34)) <=> (a_1443 = store(a_1442, i34, e34))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(226,axiom,(a_1443 = store(a_1442, i34, e34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp33')).
% 0.20/0.51 tff(227,plain,
% 0.20/0.51 (a_1443 = store(a_1442, i34, e34)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.20/0.51 tff(228,plain,
% 0.20/0.51 (store(a_1442, i34, e34) = a_1443),
% 0.20/0.51 inference(symmetry,[status(thm)],[227])).
% 0.20/0.51 tff(229,plain,
% 0.20/0.51 (store(store(a_1442, i34, e34), i35, e35) = store(a_1443, i35, e35)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[228])).
% 0.20/0.51 tff(230,plain,
% 0.20/0.51 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[229])).
% 0.20/0.51 tff(231,plain,
% 0.20/0.51 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[230])).
% 0.20/0.51 tff(232,plain,
% 0.20/0.51 ((sk(a_1449, a_1489) = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(commutativity,[status(thm)],[])).
% 0.20/0.51 tff(233,plain,
% 0.20/0.51 ((i28 = i36) <=> (sk(a_1449, a_1489) = i36)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.51 tff(234,plain,
% 0.20/0.51 ((i28 = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(transitivity,[status(thm)],[233, 232])).
% 0.20/0.51 tff(235,plain,
% 0.20/0.51 ((~(i28 = i36)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[234])).
% 0.20/0.51 tff(236,plain,
% 0.20/0.51 ((~(i28 = i36)) <=> (~(i28 = i36))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(237,axiom,(~(i28 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp153')).
% 0.20/0.51 tff(238,plain,
% 0.20/0.51 (~(i28 = i36)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.20/0.51 tff(239,plain,
% 0.20/0.51 (~(i36 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[238, 235])).
% 0.20/0.51 tff(240,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1449, a_1489)) | (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1449, a_1489)) | (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(241,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1449, a_1489)) | (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(242,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1449, a_1489)) | (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.20/0.51 tff(243,plain,
% 0.20/0.51 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[242, 33, 239])).
% 0.20/0.51 tff(244,plain,
% 0.20/0.51 ((a_1444 = store(a_1443, i35, e35)) <=> (a_1444 = store(a_1443, i35, e35))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(245,axiom,(a_1444 = store(a_1443, i35, e35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp34')).
% 0.20/0.51 tff(246,plain,
% 0.20/0.51 (a_1444 = store(a_1443, i35, e35)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.20/0.51 tff(247,plain,
% 0.20/0.51 (store(a_1443, i35, e35) = a_1444),
% 0.20/0.51 inference(symmetry,[status(thm)],[246])).
% 0.20/0.51 tff(248,plain,
% 0.20/0.51 (store(store(a_1443, i35, e35), i36, e36) = store(a_1444, i36, e36)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[247])).
% 0.20/0.51 tff(249,plain,
% 0.20/0.51 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[248])).
% 0.20/0.51 tff(250,plain,
% 0.20/0.51 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[249])).
% 0.20/0.51 tff(251,plain,
% 0.20/0.51 ((sk(a_1449, a_1489) = i37) <=> (i37 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(commutativity,[status(thm)],[])).
% 0.20/0.51 tff(252,plain,
% 0.20/0.51 ((i28 = i37) <=> (sk(a_1449, a_1489) = i37)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.51 tff(253,plain,
% 0.20/0.51 ((i28 = i37) <=> (i37 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(transitivity,[status(thm)],[252, 251])).
% 0.20/0.51 tff(254,plain,
% 0.20/0.51 ((~(i28 = i37)) <=> (~(i37 = sk(a_1449, a_1489)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[253])).
% 0.20/0.51 tff(255,plain,
% 0.20/0.51 ((~(i28 = i37)) <=> (~(i28 = i37))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(256,axiom,(~(i28 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp152')).
% 0.20/0.51 tff(257,plain,
% 0.20/0.51 (~(i28 = i37)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.20/0.51 tff(258,plain,
% 0.20/0.51 (~(i37 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[257, 254])).
% 0.20/0.51 tff(259,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1449, a_1489)) | (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1449, a_1489)) | (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(260,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1449, a_1489)) | (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(261,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1449, a_1489)) | (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.20/0.51 tff(262,plain,
% 0.20/0.51 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[261, 33, 258])).
% 0.20/0.51 tff(263,plain,
% 0.20/0.51 ((a_1445 = store(a_1444, i36, e36)) <=> (a_1445 = store(a_1444, i36, e36))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(264,axiom,(a_1445 = store(a_1444, i36, e36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp35')).
% 0.20/0.51 tff(265,plain,
% 0.20/0.51 (a_1445 = store(a_1444, i36, e36)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.20/0.51 tff(266,plain,
% 0.20/0.51 (store(a_1444, i36, e36) = a_1445),
% 0.20/0.51 inference(symmetry,[status(thm)],[265])).
% 0.20/0.51 tff(267,plain,
% 0.20/0.51 (store(store(a_1444, i36, e36), i37, e37) = store(a_1445, i37, e37)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[266])).
% 0.20/0.51 tff(268,plain,
% 0.20/0.51 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[267])).
% 0.20/0.51 tff(269,plain,
% 0.20/0.51 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[268])).
% 0.20/0.51 tff(270,plain,
% 0.20/0.51 ((sk(a_1449, a_1489) = i38) <=> (i38 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(commutativity,[status(thm)],[])).
% 0.20/0.51 tff(271,plain,
% 0.20/0.51 ((i28 = i38) <=> (sk(a_1449, a_1489) = i38)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.51 tff(272,plain,
% 0.20/0.51 ((i28 = i38) <=> (i38 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(transitivity,[status(thm)],[271, 270])).
% 0.20/0.51 tff(273,plain,
% 0.20/0.51 ((~(i28 = i38)) <=> (~(i38 = sk(a_1449, a_1489)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[272])).
% 0.20/0.51 tff(274,plain,
% 0.20/0.51 ((~(i28 = i38)) <=> (~(i28 = i38))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(275,axiom,(~(i28 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp151')).
% 0.20/0.51 tff(276,plain,
% 0.20/0.51 (~(i28 = i38)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.20/0.51 tff(277,plain,
% 0.20/0.51 (~(i38 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[276, 273])).
% 0.20/0.51 tff(278,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1449, a_1489)) | (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1449, a_1489)) | (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(279,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1449, a_1489)) | (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(280,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1449, a_1489)) | (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.51 tff(281,plain,
% 0.20/0.51 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[280, 33, 277])).
% 0.20/0.51 tff(282,plain,
% 0.20/0.51 ((a_1446 = store(a_1445, i37, e37)) <=> (a_1446 = store(a_1445, i37, e37))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(283,axiom,(a_1446 = store(a_1445, i37, e37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp36')).
% 0.20/0.51 tff(284,plain,
% 0.20/0.51 (a_1446 = store(a_1445, i37, e37)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.20/0.51 tff(285,plain,
% 0.20/0.51 (store(a_1445, i37, e37) = a_1446),
% 0.20/0.51 inference(symmetry,[status(thm)],[284])).
% 0.20/0.51 tff(286,plain,
% 0.20/0.51 (store(store(a_1445, i37, e37), i38, e38) = store(a_1446, i38, e38)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[285])).
% 0.20/0.51 tff(287,plain,
% 0.20/0.51 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[286])).
% 0.20/0.51 tff(288,plain,
% 0.20/0.51 (select(store(a_1446, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[287])).
% 0.20/0.51 tff(289,plain,
% 0.20/0.51 ((sk(a_1449, a_1489) = i39) <=> (i39 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(commutativity,[status(thm)],[])).
% 0.20/0.51 tff(290,plain,
% 0.20/0.51 ((i28 = i39) <=> (sk(a_1449, a_1489) = i39)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[82])).
% 0.20/0.51 tff(291,plain,
% 0.20/0.51 ((i28 = i39) <=> (i39 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(transitivity,[status(thm)],[290, 289])).
% 0.20/0.51 tff(292,plain,
% 0.20/0.51 ((~(i28 = i39)) <=> (~(i39 = sk(a_1449, a_1489)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[291])).
% 0.20/0.51 tff(293,plain,
% 0.20/0.51 ((~(i28 = i39)) <=> (~(i28 = i39))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(294,axiom,(~(i28 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp150')).
% 0.20/0.51 tff(295,plain,
% 0.20/0.51 (~(i28 = i39)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.20/0.51 tff(296,plain,
% 0.20/0.51 (~(i39 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[295, 292])).
% 0.20/0.51 tff(297,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1449, a_1489)) | (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1449, a_1489)) | (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(298,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1449, a_1489)) | (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(299,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1449, a_1489)) | (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.20/0.51 tff(300,plain,
% 0.20/0.51 ((i39 = sk(a_1449, a_1489)) | (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[299, 33])).
% 0.20/0.51 tff(301,plain,
% 0.20/0.51 (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[300, 296])).
% 0.20/0.51 tff(302,plain,
% 0.20/0.51 ((a_1447 = store(a_1446, i38, e38)) <=> (a_1447 = store(a_1446, i38, e38))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(303,axiom,(a_1447 = store(a_1446, i38, e38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp37')).
% 0.20/0.51 tff(304,plain,
% 0.20/0.51 (a_1447 = store(a_1446, i38, e38)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.20/0.51 tff(305,plain,
% 0.20/0.51 (store(a_1446, i38, e38) = a_1447),
% 0.20/0.51 inference(symmetry,[status(thm)],[304])).
% 0.20/0.51 tff(306,plain,
% 0.20/0.51 (store(store(a_1446, i38, e38), i39, e39) = store(a_1447, i39, e39)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[305])).
% 0.20/0.51 tff(307,plain,
% 0.20/0.51 (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[306])).
% 0.20/0.51 tff(308,plain,
% 0.20/0.51 (select(store(a_1447, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[307])).
% 0.20/0.51 tff(309,assumption,(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.51 tff(310,plain,
% 0.20/0.51 (select(a_1449, i_1490) = select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489))),
% 0.20/0.51 inference(symmetry,[status(thm)],[50])).
% 0.20/0.51 tff(311,plain,
% 0.20/0.51 (e_1491 = e_1492),
% 0.20/0.51 inference(transitivity,[status(thm)],[4, 310, 309, 308, 301, 288, 281, 269, 262, 250, 243, 231, 224, 212, 205, 193, 186, 174, 167, 155, 148, 136, 129, 117, 110, 109, 102, 100, 91, 81, 79, 71, 26, 13])).
% 0.20/0.51 tff(312,plain,
% 0.20/0.51 ((~(e_1491 = e_1492)) <=> (~(e_1491 = e_1492))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(313,axiom,(~(e_1491 = e_1492)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goal')).
% 0.20/0.51 tff(314,plain,
% 0.20/0.51 (~(e_1491 = e_1492)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.20/0.51 tff(315,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[314, 311])).
% 0.20/0.51 tff(316,plain,((~(i28 = sk(a_1449, a_1489))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(317,plain,
% 0.20/0.51 (~(i28 = sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[316, 69, 38, 64, 55])).
% 0.20/0.51 tff(318,assumption,(~(i39 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.51 tff(319,assumption,(~(i28 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.51 tff(320,plain,
% 0.20/0.51 (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[300, 318])).
% 0.20/0.51 tff(321,plain,
% 0.20/0.51 (select(store(a_1446, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[320])).
% 0.20/0.52 tff(322,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1449, a_1489)) | (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1449, a_1489)) | (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(323,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1449, a_1489)) | (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(324,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1449, a_1489)) | (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.20/0.52 tff(325,plain,
% 0.20/0.52 ((i28 = sk(a_1449, a_1489)) | (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[324, 33])).
% 0.20/0.52 tff(326,plain,
% 0.20/0.52 (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[325, 319])).
% 0.20/0.52 tff(327,plain,
% 0.20/0.52 (store(a_1488, i19, e19) = a_1489),
% 0.20/0.52 inference(symmetry,[status(thm)],[23])).
% 0.20/0.52 tff(328,plain,
% 0.20/0.52 (store(store(a_1487, i29, e29), i19, e19) = a_1489),
% 0.20/0.52 inference(transitivity,[status(thm)],[19, 327])).
% 0.20/0.52 tff(329,plain,
% 0.20/0.52 (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(a_1489, i_1490)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[328, 9])).
% 0.20/0.52 tff(330,plain,
% 0.20/0.52 (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[76])).
% 0.20/0.52 tff(331,plain,
% 0.20/0.52 (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[88])).
% 0.20/0.52 tff(332,assumption,(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.52 tff(333,plain,
% 0.20/0.52 (select(store(a_1485, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[332])).
% 0.20/0.52 tff(334,plain,
% 0.20/0.52 ((a_1485 = store(a_1484, i15, e15)) <=> (a_1485 = store(a_1484, i15, e15))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(335,axiom,(a_1485 = store(a_1484, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp75')).
% 0.20/0.52 tff(336,plain,
% 0.20/0.52 (a_1485 = store(a_1484, i15, e15)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.20/0.52 tff(337,plain,
% 0.20/0.52 (store(a_1484, i15, e15) = a_1485),
% 0.20/0.52 inference(symmetry,[status(thm)],[336])).
% 0.20/0.52 tff(338,plain,
% 0.20/0.52 (store(store(a_1484, i15, e15), i34, e34) = store(a_1485, i34, e34)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[337])).
% 0.20/0.52 tff(339,plain,
% 0.20/0.52 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[338])).
% 0.20/0.52 tff(340,assumption,(i38 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.20/0.52 tff(341,plain,
% 0.20/0.52 ((i34 = i38) <=> (i34 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[340])).
% 0.20/0.52 tff(342,plain,
% 0.20/0.52 ((~(i34 = i38)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[341])).
% 0.20/0.52 tff(343,plain,
% 0.20/0.52 ((~(i34 = i38)) <=> (~(i34 = i38))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(344,axiom,(~(i34 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp100')).
% 0.20/0.52 tff(345,plain,
% 0.20/0.52 (~(i34 = i38)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.20/0.52 tff(346,plain,
% 0.20/0.52 (~(i34 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[345, 342])).
% 0.20/0.52 tff(347,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1449, a_1489)) | (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1449, a_1489)) | (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(348,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1449, a_1489)) | (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(349,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1449, a_1489)) | (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[348, 347])).
% 0.20/0.52 tff(350,plain,
% 0.20/0.52 ((i34 = sk(a_1449, a_1489)) | (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[349, 33])).
% 0.20/0.52 tff(351,plain,
% 0.20/0.52 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[350, 346])).
% 0.20/0.52 tff(352,plain,
% 0.20/0.52 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[351])).
% 0.20/0.52 tff(353,plain,
% 0.20/0.52 ((a_1484 = store(a_1483, i30, e30)) <=> (a_1484 = store(a_1483, i30, e30))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(354,axiom,(a_1484 = store(a_1483, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp74')).
% 0.20/0.52 tff(355,plain,
% 0.20/0.52 (a_1484 = store(a_1483, i30, e30)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.20/0.52 tff(356,plain,
% 0.20/0.52 (store(a_1483, i30, e30) = a_1484),
% 0.20/0.52 inference(symmetry,[status(thm)],[355])).
% 0.20/0.52 tff(357,plain,
% 0.20/0.52 (store(store(a_1483, i30, e30), i15, e15) = store(a_1484, i15, e15)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[356])).
% 0.20/0.52 tff(358,plain,
% 0.20/0.52 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[357])).
% 0.20/0.52 tff(359,plain,
% 0.20/0.52 (sk(a_1449, a_1489) = i38),
% 0.20/0.52 inference(symmetry,[status(thm)],[340])).
% 0.20/0.52 tff(360,plain,
% 0.20/0.52 ((i15 = sk(a_1449, a_1489)) <=> (i15 = i38)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.52 tff(361,plain,
% 0.20/0.52 ((i15 = i38) <=> (i15 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[360])).
% 0.20/0.52 tff(362,plain,
% 0.20/0.52 ((~(i15 = i38)) <=> (~(i15 = sk(a_1449, a_1489)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[361])).
% 0.20/0.52 tff(363,plain,
% 0.20/0.52 ((~(i15 = i38)) <=> (~(i15 = i38))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(364,axiom,(~(i15 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp385')).
% 0.20/0.52 tff(365,plain,
% 0.20/0.52 (~(i15 = i38)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.20/0.52 tff(366,plain,
% 0.20/0.52 (~(i15 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[365, 362])).
% 0.20/0.52 tff(367,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1449, a_1489)) | (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1449, a_1489)) | (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(368,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1449, a_1489)) | (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(369,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1449, a_1489)) | (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.20/0.52 tff(370,plain,
% 0.20/0.52 ((i15 = sk(a_1449, a_1489)) | (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[369, 33])).
% 0.20/0.52 tff(371,plain,
% 0.20/0.52 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[370, 366])).
% 0.20/0.52 tff(372,plain,
% 0.20/0.52 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[371])).
% 0.20/0.52 tff(373,plain,
% 0.20/0.52 ((a_1483 = store(a_1482, i4, e4)) <=> (a_1483 = store(a_1482, i4, e4))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(374,axiom,(a_1483 = store(a_1482, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp73')).
% 0.20/0.52 tff(375,plain,
% 0.20/0.52 (a_1483 = store(a_1482, i4, e4)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.20/0.52 tff(376,plain,
% 0.20/0.52 (store(a_1482, i4, e4) = a_1483),
% 0.20/0.52 inference(symmetry,[status(thm)],[375])).
% 0.20/0.52 tff(377,plain,
% 0.20/0.52 (store(store(a_1482, i4, e4), i30, e30) = store(a_1483, i30, e30)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[376])).
% 0.20/0.52 tff(378,plain,
% 0.20/0.52 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[377])).
% 0.20/0.52 tff(379,plain,
% 0.20/0.52 ((i30 = sk(a_1449, a_1489)) <=> (i30 = i38)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.52 tff(380,plain,
% 0.20/0.52 ((i30 = i38) <=> (i30 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[379])).
% 0.20/0.52 tff(381,plain,
% 0.20/0.52 ((~(i30 = i38)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[380])).
% 0.20/0.52 tff(382,plain,
% 0.20/0.52 ((~(i30 = i38)) <=> (~(i30 = i38))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(383,axiom,(~(i30 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp130')).
% 0.20/0.52 tff(384,plain,
% 0.20/0.52 (~(i30 = i38)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[383, 382])).
% 0.20/0.52 tff(385,plain,
% 0.20/0.52 (~(i30 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[384, 381])).
% 0.20/0.52 tff(386,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1449, a_1489)) | (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(387,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(388,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1449, a_1489)) | (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.20/0.52 tff(389,plain,
% 0.20/0.52 ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[388, 33])).
% 0.20/0.52 tff(390,plain,
% 0.20/0.52 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[389, 385])).
% 0.20/0.52 tff(391,plain,
% 0.20/0.52 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[390])).
% 0.20/0.52 tff(392,plain,
% 0.20/0.52 ((a_1482 = store(a_1481, i5, e5)) <=> (a_1482 = store(a_1481, i5, e5))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(393,axiom,(a_1482 = store(a_1481, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp72')).
% 0.20/0.52 tff(394,plain,
% 0.20/0.52 (a_1482 = store(a_1481, i5, e5)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.20/0.52 tff(395,plain,
% 0.20/0.52 (store(a_1481, i5, e5) = a_1482),
% 0.20/0.52 inference(symmetry,[status(thm)],[394])).
% 0.20/0.52 tff(396,plain,
% 0.20/0.52 (store(store(a_1481, i5, e5), i4, e4) = store(a_1482, i4, e4)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[395])).
% 0.20/0.52 tff(397,plain,
% 0.20/0.52 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[396])).
% 0.20/0.52 tff(398,plain,
% 0.20/0.52 ((i4 = sk(a_1449, a_1489)) <=> (i4 = i38)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.52 tff(399,plain,
% 0.20/0.52 ((i4 = i38) <=> (i4 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[398])).
% 0.20/0.52 tff(400,plain,
% 0.20/0.52 ((~(i4 = i38)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[399])).
% 0.20/0.52 tff(401,plain,
% 0.20/0.52 ((~(i4 = i38)) <=> (~(i4 = i38))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(402,axiom,(~(i4 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp715')).
% 0.20/0.52 tff(403,plain,
% 0.20/0.52 (~(i4 = i38)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.20/0.52 tff(404,plain,
% 0.20/0.52 (~(i4 = sk(a_1449, a_1489))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[403, 400])).
% 0.20/0.52 tff(405,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1449, a_1489)) | (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1449, a_1489)) | (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(406,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1449, a_1489)) | (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(407,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1449, a_1489)) | (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[406, 405])).
% 0.20/0.52 tff(408,plain,
% 0.20/0.52 ((i4 = sk(a_1449, a_1489)) | (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[407, 33])).
% 0.20/0.52 tff(409,plain,
% 0.20/0.52 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[408, 404])).
% 0.20/0.52 tff(410,plain,
% 0.20/0.52 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.20/0.52 inference(symmetry,[status(thm)],[409])).
% 0.20/0.52 tff(411,plain,
% 0.20/0.52 ((a_1481 = store(a_1480, i3, e3)) <=> (a_1481 = store(a_1480, i3, e3))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(412,axiom,(a_1481 = store(a_1480, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp71')).
% 0.20/0.53 tff(413,plain,
% 0.20/0.53 (a_1481 = store(a_1480, i3, e3)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.20/0.53 tff(414,plain,
% 0.20/0.53 (store(a_1480, i3, e3) = a_1481),
% 0.20/0.53 inference(symmetry,[status(thm)],[413])).
% 0.20/0.53 tff(415,plain,
% 0.20/0.53 (store(store(a_1480, i3, e3), i5, e5) = store(a_1481, i5, e5)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[414])).
% 0.20/0.53 tff(416,plain,
% 0.20/0.53 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[415])).
% 0.20/0.53 tff(417,plain,
% 0.20/0.53 ((i5 = sk(a_1449, a_1489)) <=> (i5 = i38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.53 tff(418,plain,
% 0.20/0.53 ((i5 = i38) <=> (i5 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[417])).
% 0.20/0.53 tff(419,plain,
% 0.20/0.53 ((~(i5 = i38)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[418])).
% 0.20/0.53 tff(420,plain,
% 0.20/0.53 ((~(i5 = i38)) <=> (~(i5 = i38))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(421,axiom,(~(i5 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp680')).
% 0.20/0.53 tff(422,plain,
% 0.20/0.53 (~(i5 = i38)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.20/0.53 tff(423,plain,
% 0.20/0.53 (~(i5 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[422, 419])).
% 0.20/0.53 tff(424,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1449, a_1489)) | (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(425,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(426,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1449, a_1489)) | (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.20/0.53 tff(427,plain,
% 0.20/0.53 ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[426, 33])).
% 0.20/0.53 tff(428,plain,
% 0.20/0.53 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[427, 423])).
% 0.20/0.53 tff(429,plain,
% 0.20/0.53 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[428])).
% 0.20/0.53 tff(430,plain,
% 0.20/0.53 ((a_1480 = store(a_1479, i9, e9)) <=> (a_1480 = store(a_1479, i9, e9))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(431,axiom,(a_1480 = store(a_1479, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp70')).
% 0.20/0.53 tff(432,plain,
% 0.20/0.53 (a_1480 = store(a_1479, i9, e9)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[431, 430])).
% 0.20/0.53 tff(433,plain,
% 0.20/0.53 (store(a_1479, i9, e9) = a_1480),
% 0.20/0.53 inference(symmetry,[status(thm)],[432])).
% 0.20/0.53 tff(434,plain,
% 0.20/0.53 (store(store(a_1479, i9, e9), i3, e3) = store(a_1480, i3, e3)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[433])).
% 0.20/0.53 tff(435,plain,
% 0.20/0.53 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[434])).
% 0.20/0.53 tff(436,plain,
% 0.20/0.53 ((i3 = sk(a_1449, a_1489)) <=> (i3 = i38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.53 tff(437,plain,
% 0.20/0.53 ((i3 = i38) <=> (i3 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[436])).
% 0.20/0.53 tff(438,plain,
% 0.20/0.53 ((~(i3 = i38)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[437])).
% 0.20/0.53 tff(439,plain,
% 0.20/0.53 ((~(i3 = i38)) <=> (~(i3 = i38))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(440,axiom,(~(i3 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp751')).
% 0.20/0.53 tff(441,plain,
% 0.20/0.53 (~(i3 = i38)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[440, 439])).
% 0.20/0.53 tff(442,plain,
% 0.20/0.53 (~(i3 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[441, 438])).
% 0.20/0.53 tff(443,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1449, a_1489)) | (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1449, a_1489)) | (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(444,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1449, a_1489)) | (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(445,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1449, a_1489)) | (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.20/0.53 tff(446,plain,
% 0.20/0.53 ((i3 = sk(a_1449, a_1489)) | (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[445, 33])).
% 0.20/0.53 tff(447,plain,
% 0.20/0.53 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[446, 442])).
% 0.20/0.53 tff(448,plain,
% 0.20/0.53 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[447])).
% 0.20/0.53 tff(449,plain,
% 0.20/0.53 ((a_1479 = store(a_1478, i1, e1)) <=> (a_1479 = store(a_1478, i1, e1))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(450,axiom,(a_1479 = store(a_1478, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp69')).
% 0.20/0.53 tff(451,plain,
% 0.20/0.53 (a_1479 = store(a_1478, i1, e1)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[450, 449])).
% 0.20/0.53 tff(452,plain,
% 0.20/0.53 (store(a_1478, i1, e1) = a_1479),
% 0.20/0.53 inference(symmetry,[status(thm)],[451])).
% 0.20/0.53 tff(453,plain,
% 0.20/0.53 (store(store(a_1478, i1, e1), i9, e9) = store(a_1479, i9, e9)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[452])).
% 0.20/0.53 tff(454,plain,
% 0.20/0.53 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[453])).
% 0.20/0.53 tff(455,plain,
% 0.20/0.53 ((i9 = sk(a_1449, a_1489)) <=> (i9 = i38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.53 tff(456,plain,
% 0.20/0.53 ((i9 = i38) <=> (i9 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[455])).
% 0.20/0.53 tff(457,plain,
% 0.20/0.53 ((~(i9 = i38)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[456])).
% 0.20/0.53 tff(458,plain,
% 0.20/0.53 ((~(i9 = i38)) <=> (~(i9 = i38))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(459,axiom,(~(i9 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp550')).
% 0.20/0.53 tff(460,plain,
% 0.20/0.53 (~(i9 = i38)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[459, 458])).
% 0.20/0.53 tff(461,plain,
% 0.20/0.53 (~(i9 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[460, 457])).
% 0.20/0.53 tff(462,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1449, a_1489)) | (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(463,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(464,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1449, a_1489)) | (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[463, 462])).
% 0.20/0.53 tff(465,plain,
% 0.20/0.53 ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[464, 33])).
% 0.20/0.53 tff(466,plain,
% 0.20/0.53 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[465, 461])).
% 0.20/0.53 tff(467,plain,
% 0.20/0.53 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[466])).
% 0.20/0.53 tff(468,plain,
% 0.20/0.53 ((a_1478 = store(a_1477, i39, e39)) <=> (a_1478 = store(a_1477, i39, e39))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(469,axiom,(a_1478 = store(a_1477, i39, e39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp68')).
% 0.20/0.53 tff(470,plain,
% 0.20/0.53 (a_1478 = store(a_1477, i39, e39)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[469, 468])).
% 0.20/0.53 tff(471,plain,
% 0.20/0.53 (store(a_1477, i39, e39) = a_1478),
% 0.20/0.53 inference(symmetry,[status(thm)],[470])).
% 0.20/0.53 tff(472,plain,
% 0.20/0.53 (store(store(a_1477, i39, e39), i1, e1) = store(a_1478, i1, e1)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[471])).
% 0.20/0.53 tff(473,plain,
% 0.20/0.53 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[472])).
% 0.20/0.53 tff(474,plain,
% 0.20/0.53 ((i1 = sk(a_1449, a_1489)) <=> (i1 = i38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[359])).
% 0.20/0.53 tff(475,plain,
% 0.20/0.53 ((i1 = i38) <=> (i1 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[474])).
% 0.20/0.53 tff(476,plain,
% 0.20/0.53 ((~(i1 = i38)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[475])).
% 0.20/0.53 tff(477,plain,
% 0.20/0.53 ((~(i1 = i38)) <=> (~(i1 = i38))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(478,axiom,(~(i1 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp826')).
% 0.20/0.53 tff(479,plain,
% 0.20/0.53 (~(i1 = i38)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[478, 477])).
% 0.20/0.53 tff(480,plain,
% 0.20/0.53 (~(i1 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[479, 476])).
% 0.20/0.53 tff(481,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1449, a_1489)) | (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1449, a_1489)) | (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(482,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1449, a_1489)) | (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(483,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1449, a_1489)) | (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[482, 481])).
% 0.20/0.53 tff(484,plain,
% 0.20/0.53 ((i1 = sk(a_1449, a_1489)) | (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[483, 33])).
% 0.20/0.53 tff(485,plain,
% 0.20/0.53 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[484, 480])).
% 0.20/0.53 tff(486,plain,
% 0.20/0.53 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[485])).
% 0.20/0.53 tff(487,plain,
% 0.20/0.53 ((a_1477 = store(a_1476, i38, e38)) <=> (a_1477 = store(a_1476, i38, e38))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(488,axiom,(a_1477 = store(a_1476, i38, e38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp67')).
% 0.20/0.53 tff(489,plain,
% 0.20/0.53 (a_1477 = store(a_1476, i38, e38)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[488, 487])).
% 0.20/0.53 tff(490,plain,
% 0.20/0.53 (store(a_1476, i38, e38) = a_1477),
% 0.20/0.53 inference(symmetry,[status(thm)],[489])).
% 0.20/0.53 tff(491,plain,
% 0.20/0.53 (store(store(a_1476, i38, e38), i39, e39) = store(a_1477, i39, e39)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[490])).
% 0.20/0.53 tff(492,plain,
% 0.20/0.53 (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[491])).
% 0.20/0.53 tff(493,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1449, a_1489)) | (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1449, a_1489)) | (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(494,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1449, a_1489)) | (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(495,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1449, a_1489)) | (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.20/0.53 tff(496,plain,
% 0.20/0.53 (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[495, 33, 318])).
% 0.20/0.53 tff(497,plain,
% 0.20/0.53 (select(store(a_1476, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[496])).
% 0.20/0.53 tff(498,plain,
% 0.20/0.53 ((a_1476 = store(a_1475, i40, e40)) <=> (a_1476 = store(a_1475, i40, e40))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(499,axiom,(a_1476 = store(a_1475, i40, e40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp66')).
% 0.20/0.53 tff(500,plain,
% 0.20/0.53 (a_1476 = store(a_1475, i40, e40)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[499, 498])).
% 0.20/0.53 tff(501,plain,
% 0.20/0.53 (store(a_1475, i40, e40) = a_1476),
% 0.20/0.53 inference(symmetry,[status(thm)],[500])).
% 0.20/0.53 tff(502,plain,
% 0.20/0.53 (store(store(a_1475, i40, e40), i38, e38) = store(a_1476, i38, e38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[501])).
% 0.20/0.53 tff(503,plain,
% 0.20/0.53 (select(store(store(a_1475, i40, e40), i38, e38), i38) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[502, 340])).
% 0.20/0.53 tff(504,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1475, i40, e40), i38, e38), i38) = e38)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(505,plain,
% 0.20/0.53 (select(store(store(a_1475, i40, e40), i38, e38), i38) = e38),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[504, 97])).
% 0.20/0.53 tff(506,plain,
% 0.20/0.53 (e38 = select(store(store(a_1475, i40, e40), i38, e38), i38)),
% 0.20/0.53 inference(symmetry,[status(thm)],[505])).
% 0.20/0.53 tff(507,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1445, i37, e37), i38, e38), i38) = e38)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(508,plain,
% 0.20/0.53 (select(store(store(a_1445, i37, e37), i38, e38), i38) = e38),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[507, 97])).
% 0.20/0.53 tff(509,plain,
% 0.20/0.53 (store(a_1446, i38, e38) = store(store(a_1445, i37, e37), i38, e38)),
% 0.20/0.53 inference(symmetry,[status(thm)],[286])).
% 0.20/0.53 tff(510,plain,
% 0.20/0.53 (select(store(a_1446, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), i38)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[509, 359])).
% 0.20/0.53 tff(511,plain,
% 0.20/0.53 (store(a_1447, i39, e39) = store(store(a_1446, i38, e38), i39, e39)),
% 0.20/0.53 inference(symmetry,[status(thm)],[306])).
% 0.20/0.53 tff(512,plain,
% 0.20/0.53 (select(store(a_1447, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[511])).
% 0.20/0.53 tff(513,plain,
% 0.20/0.53 (store(a_1448, i40, e40) = store(store(a_1447, i39, e39), i40, e40)),
% 0.20/0.53 inference(symmetry,[status(thm)],[48])).
% 0.20/0.53 tff(514,plain,
% 0.20/0.53 (a_1449 = store(store(a_1447, i39, e39), i40, e40)),
% 0.20/0.53 inference(transitivity,[status(thm)],[42, 513])).
% 0.20/0.53 tff(515,plain,
% 0.20/0.53 (select(a_1449, i_1490) = select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[514, 8])).
% 0.20/0.53 tff(516,plain,
% 0.20/0.53 (e_1491 = e_1492),
% 0.20/0.53 inference(transitivity,[status(thm)],[4, 515, 309, 512, 320, 510, 508, 506, 503, 497, 492, 486, 473, 467, 454, 448, 435, 429, 416, 410, 397, 391, 378, 372, 358, 352, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.20/0.53 tff(517,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[314, 516])).
% 0.20/0.53 tff(518,plain,((~(i38 = sk(a_1449, a_1489))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i39 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(519,plain,
% 0.20/0.53 (~(i38 = sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[518, 326, 55, 69, 38, 318])).
% 0.20/0.53 tff(520,plain,
% 0.20/0.53 ((i38 = sk(a_1449, a_1489)) | (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[280, 33])).
% 0.20/0.53 tff(521,plain,
% 0.20/0.53 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[520, 519])).
% 0.20/0.53 tff(522,plain,
% 0.20/0.53 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[521])).
% 0.20/0.53 tff(523,assumption,(~(i34 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.53 tff(524,plain,
% 0.20/0.53 (select(store(a_1486, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[69])).
% 0.20/0.53 tff(525,plain,
% 0.20/0.53 (select(store(a_1485, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489))),
% 0.20/0.53 inference(symmetry,[status(thm)],[326])).
% 0.20/0.53 tff(526,plain,
% 0.20/0.53 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[350, 523])).
% 0.20/0.54 tff(527,plain,
% 0.20/0.54 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[526])).
% 0.20/0.54 tff(528,assumption,(~(i37 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.54 tff(529,plain,
% 0.20/0.54 ((i37 = sk(a_1449, a_1489)) | (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[261, 33])).
% 0.20/0.54 tff(530,plain,
% 0.20/0.54 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[529, 528])).
% 0.20/0.54 tff(531,plain,
% 0.20/0.54 ((i16 = i15) <=> (i15 = i16)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(532,assumption,(i15 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.20/0.54 tff(533,plain,
% 0.20/0.54 (sk(a_1449, a_1489) = i15),
% 0.20/0.54 inference(symmetry,[status(thm)],[532])).
% 0.20/0.54 tff(534,plain,
% 0.20/0.54 ((i16 = sk(a_1449, a_1489)) <=> (i16 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(535,plain,
% 0.20/0.54 ((i16 = sk(a_1449, a_1489)) <=> (i15 = i16)),
% 0.20/0.54 inference(transitivity,[status(thm)],[534, 531])).
% 0.20/0.54 tff(536,plain,
% 0.20/0.54 ((i15 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[535])).
% 0.20/0.54 tff(537,plain,
% 0.20/0.54 ((~(i15 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[536])).
% 0.20/0.54 tff(538,plain,
% 0.20/0.54 ((~(i15 = i16)) <=> (~(i15 = i16))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(539,axiom,(~(i15 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp407')).
% 0.20/0.54 tff(540,plain,
% 0.20/0.54 (~(i15 = i16)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.20/0.54 tff(541,plain,
% 0.20/0.54 (~(i16 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[540, 537])).
% 0.20/0.54 tff(542,plain,
% 0.20/0.54 (select(store(store(a_1483, i30, e30), i15, e15), i15) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[357, 532])).
% 0.20/0.54 tff(543,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1483, i30, e30), i15, e15), i15) = e15)),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(544,plain,
% 0.20/0.54 (select(store(store(a_1483, i30, e30), i15, e15), i15) = e15),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[543, 97])).
% 0.20/0.54 tff(545,plain,
% 0.20/0.54 (e15 = select(store(store(a_1483, i30, e30), i15, e15), i15)),
% 0.20/0.54 inference(symmetry,[status(thm)],[544])).
% 0.20/0.54 tff(546,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1422, i14, e14), i15, e15), i15) = e15)),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(547,plain,
% 0.20/0.54 (select(store(store(a_1422, i14, e14), i15, e15), i15) = e15),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[546, 97])).
% 0.20/0.54 tff(548,plain,
% 0.20/0.54 ((a_1423 = store(a_1422, i14, e14)) <=> (a_1423 = store(a_1422, i14, e14))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(549,axiom,(a_1423 = store(a_1422, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp13')).
% 0.20/0.54 tff(550,plain,
% 0.20/0.54 (a_1423 = store(a_1422, i14, e14)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[549, 548])).
% 0.20/0.54 tff(551,plain,
% 0.20/0.54 (store(a_1422, i14, e14) = a_1423),
% 0.20/0.54 inference(symmetry,[status(thm)],[550])).
% 0.20/0.54 tff(552,plain,
% 0.20/0.54 (store(store(a_1422, i14, e14), i15, e15) = store(a_1423, i15, e15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[551])).
% 0.20/0.54 tff(553,plain,
% 0.20/0.54 (store(a_1423, i15, e15) = store(store(a_1422, i14, e14), i15, e15)),
% 0.20/0.54 inference(symmetry,[status(thm)],[552])).
% 0.20/0.54 tff(554,plain,
% 0.20/0.54 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1422, i14, e14), i15, e15), i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[553, 533])).
% 0.20/0.54 tff(555,plain,
% 0.20/0.54 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = e_1492),
% 0.20/0.54 inference(transitivity,[status(thm)],[554, 547, 545, 542, 527, 339, 525, 331, 524, 330, 39, 329, 13])).
% 0.20/0.54 tff(556,plain,
% 0.20/0.54 (select(store(a_1447, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[309])).
% 0.20/0.54 tff(557,assumption,(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.54 tff(558,plain,
% 0.20/0.54 (select(store(a_1446, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[557])).
% 0.20/0.54 tff(559,assumption,(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.54 tff(560,plain,
% 0.20/0.54 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[559])).
% 0.20/0.54 tff(561,assumption,(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))), introduced(assumption)).
% 0.20/0.54 tff(562,plain,
% 0.20/0.54 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[561])).
% 0.20/0.54 tff(563,plain,
% 0.20/0.54 ((i15 = i36) <=> (sk(a_1449, a_1489) = i36)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[532])).
% 0.20/0.54 tff(564,plain,
% 0.20/0.54 ((i15 = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(transitivity,[status(thm)],[563, 232])).
% 0.20/0.54 tff(565,plain,
% 0.20/0.54 ((~(i15 = i36)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[564])).
% 0.20/0.54 tff(566,plain,
% 0.20/0.54 ((~(i15 = i36)) <=> (~(i15 = i36))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(567,axiom,(~(i15 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp387')).
% 0.20/0.54 tff(568,plain,
% 0.20/0.54 (~(i15 = i36)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[567, 566])).
% 0.20/0.54 tff(569,plain,
% 0.20/0.54 (~(i36 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[568, 565])).
% 0.20/0.54 tff(570,plain,
% 0.20/0.54 ((i36 = sk(a_1449, a_1489)) | (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[242, 33])).
% 0.20/0.54 tff(571,plain,
% 0.20/0.54 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[570, 569])).
% 0.20/0.54 tff(572,plain,
% 0.20/0.54 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[571])).
% 0.20/0.54 tff(573,plain,
% 0.20/0.54 ((i35 = i15) <=> (i15 = i35)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(574,plain,
% 0.20/0.54 ((i35 = sk(a_1449, a_1489)) <=> (i35 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(575,plain,
% 0.20/0.54 ((i35 = sk(a_1449, a_1489)) <=> (i15 = i35)),
% 0.20/0.54 inference(transitivity,[status(thm)],[574, 573])).
% 0.20/0.54 tff(576,plain,
% 0.20/0.54 ((i15 = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[575])).
% 0.20/0.54 tff(577,plain,
% 0.20/0.54 ((~(i15 = i35)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[576])).
% 0.20/0.54 tff(578,plain,
% 0.20/0.54 ((~(i15 = i35)) <=> (~(i15 = i35))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(579,axiom,(~(i15 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp388')).
% 0.20/0.54 tff(580,plain,
% 0.20/0.54 (~(i15 = i35)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.20/0.54 tff(581,plain,
% 0.20/0.54 (~(i35 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[580, 577])).
% 0.20/0.54 tff(582,plain,
% 0.20/0.54 ((i35 = sk(a_1449, a_1489)) | (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[223, 33])).
% 0.20/0.54 tff(583,plain,
% 0.20/0.54 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[582, 581])).
% 0.20/0.54 tff(584,plain,
% 0.20/0.54 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[583])).
% 0.20/0.54 tff(585,plain,
% 0.20/0.54 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[204, 33, 523])).
% 0.20/0.54 tff(586,plain,
% 0.20/0.54 (select(store(a_1441, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[585])).
% 0.20/0.54 tff(587,plain,
% 0.20/0.54 ((i33 = i15) <=> (i15 = i33)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(588,plain,
% 0.20/0.54 ((i33 = sk(a_1449, a_1489)) <=> (i33 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(589,plain,
% 0.20/0.54 ((i33 = sk(a_1449, a_1489)) <=> (i15 = i33)),
% 0.20/0.54 inference(transitivity,[status(thm)],[588, 587])).
% 0.20/0.54 tff(590,plain,
% 0.20/0.54 ((i15 = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[589])).
% 0.20/0.54 tff(591,plain,
% 0.20/0.54 ((~(i15 = i33)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[590])).
% 0.20/0.54 tff(592,plain,
% 0.20/0.54 ((~(i15 = i33)) <=> (~(i15 = i33))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(593,axiom,(~(i15 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp390')).
% 0.20/0.54 tff(594,plain,
% 0.20/0.54 (~(i15 = i33)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[593, 592])).
% 0.20/0.54 tff(595,plain,
% 0.20/0.54 (~(i33 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[594, 591])).
% 0.20/0.54 tff(596,plain,
% 0.20/0.54 ((i33 = sk(a_1449, a_1489)) | (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[185, 33])).
% 0.20/0.54 tff(597,plain,
% 0.20/0.54 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[596, 595])).
% 0.20/0.54 tff(598,plain,
% 0.20/0.54 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[597])).
% 0.20/0.54 tff(599,plain,
% 0.20/0.54 ((i32 = i15) <=> (i15 = i32)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(600,plain,
% 0.20/0.54 ((i32 = sk(a_1449, a_1489)) <=> (i32 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(601,plain,
% 0.20/0.54 ((i32 = sk(a_1449, a_1489)) <=> (i15 = i32)),
% 0.20/0.54 inference(transitivity,[status(thm)],[600, 599])).
% 0.20/0.54 tff(602,plain,
% 0.20/0.54 ((i15 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[601])).
% 0.20/0.54 tff(603,plain,
% 0.20/0.54 ((~(i15 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[602])).
% 0.20/0.54 tff(604,plain,
% 0.20/0.54 ((~(i15 = i32)) <=> (~(i15 = i32))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(605,axiom,(~(i15 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp391')).
% 0.20/0.54 tff(606,plain,
% 0.20/0.54 (~(i15 = i32)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[605, 604])).
% 0.20/0.54 tff(607,plain,
% 0.20/0.54 (~(i32 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[606, 603])).
% 0.20/0.54 tff(608,plain,
% 0.20/0.54 ((i32 = sk(a_1449, a_1489)) | (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[166, 33])).
% 0.20/0.54 tff(609,plain,
% 0.20/0.54 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[608, 607])).
% 0.20/0.54 tff(610,plain,
% 0.20/0.54 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[609])).
% 0.20/0.54 tff(611,plain,
% 0.20/0.54 ((i31 = i15) <=> (i15 = i31)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(612,plain,
% 0.20/0.54 ((i31 = sk(a_1449, a_1489)) <=> (i31 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(613,plain,
% 0.20/0.54 ((i31 = sk(a_1449, a_1489)) <=> (i15 = i31)),
% 0.20/0.54 inference(transitivity,[status(thm)],[612, 611])).
% 0.20/0.54 tff(614,plain,
% 0.20/0.54 ((i15 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[613])).
% 0.20/0.54 tff(615,plain,
% 0.20/0.54 ((~(i15 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[614])).
% 0.20/0.54 tff(616,plain,
% 0.20/0.54 ((~(i15 = i31)) <=> (~(i15 = i31))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(617,axiom,(~(i15 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp392')).
% 0.20/0.54 tff(618,plain,
% 0.20/0.54 (~(i15 = i31)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[617, 616])).
% 0.20/0.54 tff(619,plain,
% 0.20/0.54 (~(i31 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[618, 615])).
% 0.20/0.54 tff(620,plain,
% 0.20/0.54 ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[147, 33])).
% 0.20/0.54 tff(621,plain,
% 0.20/0.54 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[620, 619])).
% 0.20/0.54 tff(622,plain,
% 0.20/0.54 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[621])).
% 0.20/0.54 tff(623,plain,
% 0.20/0.54 ((i30 = i15) <=> (i15 = i30)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(624,plain,
% 0.20/0.54 ((i30 = sk(a_1449, a_1489)) <=> (i30 = i15)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.54 tff(625,plain,
% 0.20/0.54 ((i30 = sk(a_1449, a_1489)) <=> (i15 = i30)),
% 0.20/0.54 inference(transitivity,[status(thm)],[624, 623])).
% 0.20/0.54 tff(626,plain,
% 0.20/0.54 ((i15 = i30) <=> (i30 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[625])).
% 0.20/0.54 tff(627,plain,
% 0.20/0.54 ((~(i15 = i30)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[626])).
% 0.20/0.54 tff(628,plain,
% 0.20/0.54 ((~(i15 = i30)) <=> (~(i15 = i30))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(629,axiom,(~(i15 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp393')).
% 0.20/0.54 tff(630,plain,
% 0.20/0.54 (~(i15 = i30)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[629, 628])).
% 0.20/0.54 tff(631,plain,
% 0.20/0.54 (~(i30 = sk(a_1449, a_1489))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[630, 627])).
% 0.20/0.54 tff(632,plain,
% 0.20/0.54 ((i30 = sk(a_1449, a_1489)) | (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[128, 33])).
% 0.20/0.54 tff(633,plain,
% 0.20/0.54 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[632, 631])).
% 0.20/0.54 tff(634,plain,
% 0.20/0.54 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[633])).
% 0.20/0.54 tff(635,plain,
% 0.20/0.54 (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[61, 33, 57])).
% 0.20/0.54 tff(636,plain,
% 0.20/0.54 (select(store(a_1436, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.20/0.54 inference(symmetry,[status(thm)],[635])).
% 0.20/0.54 tff(637,plain,
% 0.20/0.54 (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[107])).
% 0.20/0.54 tff(638,plain,
% 0.20/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1449, a_1489)) | (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1449, a_1489)) | (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(639,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1449, a_1489)) | (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(640,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1449, a_1489)) | (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[639, 638])).
% 0.20/0.55 tff(641,plain,
% 0.20/0.55 (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[640, 33, 319])).
% 0.20/0.55 tff(642,plain,
% 0.20/0.55 (select(store(a_1435, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[641])).
% 0.20/0.55 tff(643,plain,
% 0.20/0.55 ((a_1435 = store(a_1434, i26, e26)) <=> (a_1435 = store(a_1434, i26, e26))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(644,axiom,(a_1435 = store(a_1434, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp25')).
% 0.20/0.55 tff(645,plain,
% 0.20/0.55 (a_1435 = store(a_1434, i26, e26)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[644, 643])).
% 0.20/0.55 tff(646,plain,
% 0.20/0.55 (store(a_1434, i26, e26) = a_1435),
% 0.20/0.55 inference(symmetry,[status(thm)],[645])).
% 0.20/0.55 tff(647,plain,
% 0.20/0.55 (store(store(a_1434, i26, e26), i27, e27) = store(a_1435, i27, e27)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[646])).
% 0.20/0.55 tff(648,plain,
% 0.20/0.55 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[647])).
% 0.20/0.55 tff(649,plain,
% 0.20/0.55 ((i27 = i15) <=> (i15 = i27)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(650,plain,
% 0.20/0.55 ((i27 = sk(a_1449, a_1489)) <=> (i27 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(651,plain,
% 0.20/0.55 ((i27 = sk(a_1449, a_1489)) <=> (i15 = i27)),
% 0.20/0.55 inference(transitivity,[status(thm)],[650, 649])).
% 0.20/0.55 tff(652,plain,
% 0.20/0.55 ((i15 = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[651])).
% 0.20/0.55 tff(653,plain,
% 0.20/0.55 ((~(i15 = i27)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[652])).
% 0.20/0.55 tff(654,plain,
% 0.20/0.55 ((~(i15 = i27)) <=> (~(i15 = i27))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(655,axiom,(~(i15 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp396')).
% 0.20/0.55 tff(656,plain,
% 0.20/0.55 (~(i15 = i27)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[655, 654])).
% 0.20/0.55 tff(657,plain,
% 0.20/0.55 (~(i27 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[656, 653])).
% 0.20/0.55 tff(658,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1449, a_1489)) | (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(659,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(660,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1449, a_1489)) | (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[659, 658])).
% 0.20/0.55 tff(661,plain,
% 0.20/0.55 ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[660, 33])).
% 0.20/0.55 tff(662,plain,
% 0.20/0.55 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[661, 657])).
% 0.20/0.55 tff(663,plain,
% 0.20/0.55 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[662])).
% 0.20/0.55 tff(664,plain,
% 0.20/0.55 ((a_1434 = store(a_1433, i25, e25)) <=> (a_1434 = store(a_1433, i25, e25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(665,axiom,(a_1434 = store(a_1433, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp24')).
% 0.20/0.55 tff(666,plain,
% 0.20/0.55 (a_1434 = store(a_1433, i25, e25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.20/0.55 tff(667,plain,
% 0.20/0.55 (store(a_1433, i25, e25) = a_1434),
% 0.20/0.55 inference(symmetry,[status(thm)],[666])).
% 0.20/0.55 tff(668,plain,
% 0.20/0.55 (store(store(a_1433, i25, e25), i26, e26) = store(a_1434, i26, e26)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[667])).
% 0.20/0.55 tff(669,plain,
% 0.20/0.55 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[668])).
% 0.20/0.55 tff(670,plain,
% 0.20/0.55 ((i26 = i15) <=> (i15 = i26)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(671,plain,
% 0.20/0.55 ((i26 = sk(a_1449, a_1489)) <=> (i26 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(672,plain,
% 0.20/0.55 ((i26 = sk(a_1449, a_1489)) <=> (i15 = i26)),
% 0.20/0.55 inference(transitivity,[status(thm)],[671, 670])).
% 0.20/0.55 tff(673,plain,
% 0.20/0.55 ((i15 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[672])).
% 0.20/0.55 tff(674,plain,
% 0.20/0.55 ((~(i15 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[673])).
% 0.20/0.55 tff(675,plain,
% 0.20/0.55 ((~(i15 = i26)) <=> (~(i15 = i26))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(676,axiom,(~(i15 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp397')).
% 0.20/0.55 tff(677,plain,
% 0.20/0.55 (~(i15 = i26)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[676, 675])).
% 0.20/0.55 tff(678,plain,
% 0.20/0.55 (~(i26 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[677, 674])).
% 0.20/0.55 tff(679,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1449, a_1489)) | (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(680,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(681,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1449, a_1489)) | (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.20/0.55 tff(682,plain,
% 0.20/0.55 ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[681, 33])).
% 0.20/0.55 tff(683,plain,
% 0.20/0.55 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[682, 678])).
% 0.20/0.55 tff(684,plain,
% 0.20/0.55 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[683])).
% 0.20/0.55 tff(685,plain,
% 0.20/0.55 ((a_1433 = store(a_1432, i24, e24)) <=> (a_1433 = store(a_1432, i24, e24))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(686,axiom,(a_1433 = store(a_1432, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp23')).
% 0.20/0.55 tff(687,plain,
% 0.20/0.55 (a_1433 = store(a_1432, i24, e24)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[686, 685])).
% 0.20/0.55 tff(688,plain,
% 0.20/0.55 (store(a_1432, i24, e24) = a_1433),
% 0.20/0.55 inference(symmetry,[status(thm)],[687])).
% 0.20/0.55 tff(689,plain,
% 0.20/0.55 (store(store(a_1432, i24, e24), i25, e25) = store(a_1433, i25, e25)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[688])).
% 0.20/0.55 tff(690,plain,
% 0.20/0.55 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[689])).
% 0.20/0.55 tff(691,plain,
% 0.20/0.55 ((i25 = i15) <=> (i15 = i25)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(692,plain,
% 0.20/0.55 ((i25 = sk(a_1449, a_1489)) <=> (i25 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(693,plain,
% 0.20/0.55 ((i25 = sk(a_1449, a_1489)) <=> (i15 = i25)),
% 0.20/0.55 inference(transitivity,[status(thm)],[692, 691])).
% 0.20/0.55 tff(694,plain,
% 0.20/0.55 ((i15 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[693])).
% 0.20/0.55 tff(695,plain,
% 0.20/0.55 ((~(i15 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[694])).
% 0.20/0.55 tff(696,plain,
% 0.20/0.55 ((~(i15 = i25)) <=> (~(i15 = i25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(697,axiom,(~(i15 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp398')).
% 0.20/0.55 tff(698,plain,
% 0.20/0.55 (~(i15 = i25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[697, 696])).
% 0.20/0.55 tff(699,plain,
% 0.20/0.55 (~(i25 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[698, 695])).
% 0.20/0.55 tff(700,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1449, a_1489)) | (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1449, a_1489)) | (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(701,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1449, a_1489)) | (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(702,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1449, a_1489)) | (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[701, 700])).
% 0.20/0.55 tff(703,plain,
% 0.20/0.55 ((i25 = sk(a_1449, a_1489)) | (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[702, 33])).
% 0.20/0.55 tff(704,plain,
% 0.20/0.55 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[703, 699])).
% 0.20/0.55 tff(705,plain,
% 0.20/0.55 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[704])).
% 0.20/0.55 tff(706,plain,
% 0.20/0.55 ((a_1432 = store(a_1431, i23, e23)) <=> (a_1432 = store(a_1431, i23, e23))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(707,axiom,(a_1432 = store(a_1431, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp22')).
% 0.20/0.55 tff(708,plain,
% 0.20/0.55 (a_1432 = store(a_1431, i23, e23)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[707, 706])).
% 0.20/0.55 tff(709,plain,
% 0.20/0.55 (store(a_1431, i23, e23) = a_1432),
% 0.20/0.55 inference(symmetry,[status(thm)],[708])).
% 0.20/0.55 tff(710,plain,
% 0.20/0.55 (store(store(a_1431, i23, e23), i24, e24) = store(a_1432, i24, e24)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[709])).
% 0.20/0.55 tff(711,plain,
% 0.20/0.55 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.55 tff(712,plain,
% 0.20/0.55 ((i24 = i15) <=> (i15 = i24)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(713,plain,
% 0.20/0.55 ((i24 = sk(a_1449, a_1489)) <=> (i24 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(714,plain,
% 0.20/0.55 ((i24 = sk(a_1449, a_1489)) <=> (i15 = i24)),
% 0.20/0.55 inference(transitivity,[status(thm)],[713, 712])).
% 0.20/0.55 tff(715,plain,
% 0.20/0.55 ((i15 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[714])).
% 0.20/0.55 tff(716,plain,
% 0.20/0.55 ((~(i15 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[715])).
% 0.20/0.55 tff(717,plain,
% 0.20/0.55 ((~(i15 = i24)) <=> (~(i15 = i24))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(718,axiom,(~(i15 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp399')).
% 0.20/0.55 tff(719,plain,
% 0.20/0.55 (~(i15 = i24)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[718, 717])).
% 0.20/0.55 tff(720,plain,
% 0.20/0.55 (~(i24 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[719, 716])).
% 0.20/0.55 tff(721,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1449, a_1489)) | (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1449, a_1489)) | (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(722,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1449, a_1489)) | (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(723,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1449, a_1489)) | (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.20/0.55 tff(724,plain,
% 0.20/0.55 ((i24 = sk(a_1449, a_1489)) | (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[723, 33])).
% 0.20/0.55 tff(725,plain,
% 0.20/0.55 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[724, 720])).
% 0.20/0.55 tff(726,plain,
% 0.20/0.55 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[725])).
% 0.20/0.55 tff(727,plain,
% 0.20/0.55 ((a_1431 = store(a_1430, i22, e22)) <=> (a_1431 = store(a_1430, i22, e22))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(728,axiom,(a_1431 = store(a_1430, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp21')).
% 0.20/0.55 tff(729,plain,
% 0.20/0.55 (a_1431 = store(a_1430, i22, e22)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[728, 727])).
% 0.20/0.55 tff(730,plain,
% 0.20/0.55 (store(a_1430, i22, e22) = a_1431),
% 0.20/0.55 inference(symmetry,[status(thm)],[729])).
% 0.20/0.55 tff(731,plain,
% 0.20/0.55 (store(store(a_1430, i22, e22), i23, e23) = store(a_1431, i23, e23)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[730])).
% 0.20/0.55 tff(732,plain,
% 0.20/0.55 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[731])).
% 0.20/0.55 tff(733,plain,
% 0.20/0.55 ((i23 = i15) <=> (i15 = i23)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(734,plain,
% 0.20/0.55 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(735,plain,
% 0.20/0.55 ((i23 = sk(a_1449, a_1489)) <=> (i15 = i23)),
% 0.20/0.55 inference(transitivity,[status(thm)],[734, 733])).
% 0.20/0.55 tff(736,plain,
% 0.20/0.55 ((i15 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[735])).
% 0.20/0.55 tff(737,plain,
% 0.20/0.55 ((~(i15 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[736])).
% 0.20/0.55 tff(738,plain,
% 0.20/0.55 ((~(i15 = i23)) <=> (~(i15 = i23))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(739,axiom,(~(i15 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp400')).
% 0.20/0.55 tff(740,plain,
% 0.20/0.55 (~(i15 = i23)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[739, 738])).
% 0.20/0.55 tff(741,plain,
% 0.20/0.55 (~(i23 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[740, 737])).
% 0.20/0.55 tff(742,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1449, a_1489)) | (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(743,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(744,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1449, a_1489)) | (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[743, 742])).
% 0.20/0.55 tff(745,plain,
% 0.20/0.55 ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[744, 33])).
% 0.20/0.55 tff(746,plain,
% 0.20/0.55 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[745, 741])).
% 0.20/0.55 tff(747,plain,
% 0.20/0.55 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[746])).
% 0.20/0.55 tff(748,plain,
% 0.20/0.55 ((a_1430 = store(a_1429, i21, e21)) <=> (a_1430 = store(a_1429, i21, e21))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(749,axiom,(a_1430 = store(a_1429, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp20')).
% 0.20/0.55 tff(750,plain,
% 0.20/0.55 (a_1430 = store(a_1429, i21, e21)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[749, 748])).
% 0.20/0.55 tff(751,plain,
% 0.20/0.55 (store(a_1429, i21, e21) = a_1430),
% 0.20/0.55 inference(symmetry,[status(thm)],[750])).
% 0.20/0.55 tff(752,plain,
% 0.20/0.55 (store(store(a_1429, i21, e21), i22, e22) = store(a_1430, i22, e22)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[751])).
% 0.20/0.55 tff(753,plain,
% 0.20/0.55 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[752])).
% 0.20/0.55 tff(754,plain,
% 0.20/0.55 ((i22 = i15) <=> (i15 = i22)),
% 0.20/0.55 inference(commutativity,[status(thm)],[])).
% 0.20/0.55 tff(755,plain,
% 0.20/0.55 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i15)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.55 tff(756,plain,
% 0.20/0.55 ((i22 = sk(a_1449, a_1489)) <=> (i15 = i22)),
% 0.20/0.55 inference(transitivity,[status(thm)],[755, 754])).
% 0.20/0.55 tff(757,plain,
% 0.20/0.55 ((i15 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(symmetry,[status(thm)],[756])).
% 0.20/0.55 tff(758,plain,
% 0.20/0.55 ((~(i15 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[757])).
% 0.20/0.55 tff(759,plain,
% 0.20/0.55 ((~(i15 = i22)) <=> (~(i15 = i22))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(760,axiom,(~(i15 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp401')).
% 0.20/0.55 tff(761,plain,
% 0.20/0.55 (~(i15 = i22)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[760, 759])).
% 0.20/0.55 tff(762,plain,
% 0.20/0.55 (~(i22 = sk(a_1449, a_1489))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[761, 758])).
% 0.20/0.56 tff(763,plain,
% 0.20/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1449, a_1489)) | (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(764,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(765,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1449, a_1489)) | (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[764, 763])).
% 0.20/0.56 tff(766,plain,
% 0.20/0.56 ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[765, 33])).
% 0.20/0.56 tff(767,plain,
% 0.20/0.56 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[766, 762])).
% 0.20/0.56 tff(768,plain,
% 0.20/0.56 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[767])).
% 0.20/0.56 tff(769,plain,
% 0.20/0.56 ((a_1429 = store(a_1428, i20, e20)) <=> (a_1429 = store(a_1428, i20, e20))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(770,axiom,(a_1429 = store(a_1428, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp19')).
% 0.20/0.56 tff(771,plain,
% 0.20/0.56 (a_1429 = store(a_1428, i20, e20)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[770, 769])).
% 0.20/0.56 tff(772,plain,
% 0.20/0.56 (store(a_1428, i20, e20) = a_1429),
% 0.20/0.56 inference(symmetry,[status(thm)],[771])).
% 0.20/0.56 tff(773,plain,
% 0.20/0.56 (store(store(a_1428, i20, e20), i21, e21) = store(a_1429, i21, e21)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[772])).
% 0.20/0.56 tff(774,plain,
% 0.20/0.56 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[773])).
% 0.20/0.56 tff(775,plain,
% 0.20/0.56 ((i21 = i15) <=> (i15 = i21)),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(776,plain,
% 0.20/0.56 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i15)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.56 tff(777,plain,
% 0.20/0.56 ((i21 = sk(a_1449, a_1489)) <=> (i15 = i21)),
% 0.20/0.56 inference(transitivity,[status(thm)],[776, 775])).
% 0.20/0.56 tff(778,plain,
% 0.20/0.56 ((i15 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[777])).
% 0.20/0.56 tff(779,plain,
% 0.20/0.56 ((~(i15 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[778])).
% 0.20/0.56 tff(780,plain,
% 0.20/0.56 ((~(i15 = i21)) <=> (~(i15 = i21))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(781,axiom,(~(i15 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp402')).
% 0.20/0.56 tff(782,plain,
% 0.20/0.56 (~(i15 = i21)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.20/0.56 tff(783,plain,
% 0.20/0.56 (~(i21 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[782, 779])).
% 0.20/0.56 tff(784,plain,
% 0.20/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1449, a_1489)) | (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(785,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(786,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1449, a_1489)) | (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[785, 784])).
% 0.20/0.56 tff(787,plain,
% 0.20/0.56 ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[786, 33])).
% 0.20/0.56 tff(788,plain,
% 0.20/0.56 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[787, 783])).
% 0.20/0.56 tff(789,plain,
% 0.20/0.56 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[788])).
% 0.20/0.56 tff(790,plain,
% 0.20/0.56 ((a_1428 = store(a_1427, i19, e19)) <=> (a_1428 = store(a_1427, i19, e19))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(791,axiom,(a_1428 = store(a_1427, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp18')).
% 0.20/0.56 tff(792,plain,
% 0.20/0.56 (a_1428 = store(a_1427, i19, e19)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[791, 790])).
% 0.20/0.56 tff(793,plain,
% 0.20/0.56 (store(a_1427, i19, e19) = a_1428),
% 0.20/0.56 inference(symmetry,[status(thm)],[792])).
% 0.20/0.56 tff(794,plain,
% 0.20/0.56 (store(store(a_1427, i19, e19), i20, e20) = store(a_1428, i20, e20)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[793])).
% 0.20/0.56 tff(795,plain,
% 0.20/0.56 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[794])).
% 0.20/0.56 tff(796,plain,
% 0.20/0.56 ((i20 = i15) <=> (i15 = i20)),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(797,plain,
% 0.20/0.56 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i15)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.56 tff(798,plain,
% 0.20/0.56 ((i20 = sk(a_1449, a_1489)) <=> (i15 = i20)),
% 0.20/0.56 inference(transitivity,[status(thm)],[797, 796])).
% 0.20/0.56 tff(799,plain,
% 0.20/0.56 ((i15 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[798])).
% 0.20/0.56 tff(800,plain,
% 0.20/0.56 ((~(i15 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[799])).
% 0.20/0.56 tff(801,plain,
% 0.20/0.56 ((~(i15 = i20)) <=> (~(i15 = i20))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(802,axiom,(~(i15 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp403')).
% 0.20/0.56 tff(803,plain,
% 0.20/0.56 (~(i15 = i20)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[802, 801])).
% 0.20/0.56 tff(804,plain,
% 0.20/0.56 (~(i20 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[803, 800])).
% 0.20/0.56 tff(805,plain,
% 0.20/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1449, a_1489)) | (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(806,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(807,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1449, a_1489)) | (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[806, 805])).
% 0.20/0.56 tff(808,plain,
% 0.20/0.56 ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[807, 33])).
% 0.20/0.56 tff(809,plain,
% 0.20/0.56 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[808, 804])).
% 0.20/0.56 tff(810,plain,
% 0.20/0.56 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[809])).
% 0.20/0.56 tff(811,plain,
% 0.20/0.56 ((a_1427 = store(a_1426, i18, e18)) <=> (a_1427 = store(a_1426, i18, e18))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(812,axiom,(a_1427 = store(a_1426, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp17')).
% 0.20/0.56 tff(813,plain,
% 0.20/0.56 (a_1427 = store(a_1426, i18, e18)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[812, 811])).
% 0.20/0.56 tff(814,plain,
% 0.20/0.56 (store(a_1426, i18, e18) = a_1427),
% 0.20/0.56 inference(symmetry,[status(thm)],[813])).
% 0.20/0.56 tff(815,plain,
% 0.20/0.56 (store(store(a_1426, i18, e18), i19, e19) = store(a_1427, i19, e19)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[814])).
% 0.20/0.56 tff(816,plain,
% 0.20/0.56 (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[815])).
% 0.20/0.56 tff(817,plain,
% 0.20/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1449, a_1489)) | (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1449, a_1489)) | (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(818,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1449, a_1489)) | (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(819,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1449, a_1489)) | (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[818, 817])).
% 0.20/0.56 tff(820,plain,
% 0.20/0.56 (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[819, 33, 27])).
% 0.20/0.56 tff(821,plain,
% 0.20/0.56 (select(store(a_1426, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[820])).
% 0.20/0.56 tff(822,plain,
% 0.20/0.56 ((a_1426 = store(a_1425, i17, e17)) <=> (a_1426 = store(a_1425, i17, e17))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(823,axiom,(a_1426 = store(a_1425, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp16')).
% 0.20/0.56 tff(824,plain,
% 0.20/0.56 (a_1426 = store(a_1425, i17, e17)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[823, 822])).
% 0.20/0.56 tff(825,plain,
% 0.20/0.56 (store(a_1425, i17, e17) = a_1426),
% 0.20/0.56 inference(symmetry,[status(thm)],[824])).
% 0.20/0.56 tff(826,plain,
% 0.20/0.56 (store(store(a_1425, i17, e17), i18, e18) = store(a_1426, i18, e18)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[825])).
% 0.20/0.56 tff(827,plain,
% 0.20/0.56 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[826])).
% 0.20/0.56 tff(828,plain,
% 0.20/0.56 ((i18 = i15) <=> (i15 = i18)),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(829,plain,
% 0.20/0.56 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i15)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.56 tff(830,plain,
% 0.20/0.56 ((i18 = sk(a_1449, a_1489)) <=> (i15 = i18)),
% 0.20/0.56 inference(transitivity,[status(thm)],[829, 828])).
% 0.20/0.56 tff(831,plain,
% 0.20/0.56 ((i15 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[830])).
% 0.20/0.56 tff(832,plain,
% 0.20/0.56 ((~(i15 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[831])).
% 0.20/0.56 tff(833,plain,
% 0.20/0.56 ((~(i15 = i18)) <=> (~(i15 = i18))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(834,axiom,(~(i15 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp405')).
% 0.20/0.56 tff(835,plain,
% 0.20/0.56 (~(i15 = i18)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[834, 833])).
% 0.20/0.56 tff(836,plain,
% 0.20/0.56 (~(i18 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[835, 832])).
% 0.20/0.56 tff(837,plain,
% 0.20/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1449, a_1489)) | (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(838,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(839,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1449, a_1489)) | (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[838, 837])).
% 0.20/0.56 tff(840,plain,
% 0.20/0.56 ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[839, 33])).
% 0.20/0.56 tff(841,plain,
% 0.20/0.56 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[840, 836])).
% 0.20/0.56 tff(842,plain,
% 0.20/0.56 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[841])).
% 0.20/0.56 tff(843,plain,
% 0.20/0.56 ((a_1425 = store(a_1424, i16, e16)) <=> (a_1425 = store(a_1424, i16, e16))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(844,axiom,(a_1425 = store(a_1424, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp15')).
% 0.20/0.56 tff(845,plain,
% 0.20/0.56 (a_1425 = store(a_1424, i16, e16)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[844, 843])).
% 0.20/0.56 tff(846,plain,
% 0.20/0.56 (store(a_1424, i16, e16) = a_1425),
% 0.20/0.56 inference(symmetry,[status(thm)],[845])).
% 0.20/0.56 tff(847,plain,
% 0.20/0.56 (store(store(a_1424, i16, e16), i17, e17) = store(a_1425, i17, e17)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[846])).
% 0.20/0.56 tff(848,plain,
% 0.20/0.56 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[847])).
% 0.20/0.56 tff(849,plain,
% 0.20/0.56 ((i17 = i15) <=> (i15 = i17)),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(850,plain,
% 0.20/0.56 ((i17 = sk(a_1449, a_1489)) <=> (i17 = i15)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[533])).
% 0.20/0.56 tff(851,plain,
% 0.20/0.56 ((i17 = sk(a_1449, a_1489)) <=> (i15 = i17)),
% 0.20/0.56 inference(transitivity,[status(thm)],[850, 849])).
% 0.20/0.56 tff(852,plain,
% 0.20/0.56 ((i15 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.20/0.56 inference(symmetry,[status(thm)],[851])).
% 0.20/0.56 tff(853,plain,
% 0.20/0.56 ((~(i15 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[852])).
% 0.41/0.57 tff(854,plain,
% 0.41/0.57 ((~(i15 = i17)) <=> (~(i15 = i17))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(855,axiom,(~(i15 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp406')).
% 0.41/0.57 tff(856,plain,
% 0.41/0.57 (~(i15 = i17)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[855, 854])).
% 0.41/0.57 tff(857,plain,
% 0.41/0.57 (~(i17 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[856, 853])).
% 0.41/0.57 tff(858,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1449, a_1489)) | (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(859,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(860,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1449, a_1489)) | (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[859, 858])).
% 0.41/0.57 tff(861,plain,
% 0.41/0.57 ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[860, 33])).
% 0.41/0.57 tff(862,plain,
% 0.41/0.57 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[861, 857])).
% 0.41/0.57 tff(863,plain,
% 0.41/0.57 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[862])).
% 0.41/0.57 tff(864,plain,
% 0.41/0.57 ((a_1424 = store(a_1423, i15, e15)) <=> (a_1424 = store(a_1423, i15, e15))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(865,axiom,(a_1424 = store(a_1423, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp14')).
% 0.41/0.57 tff(866,plain,
% 0.41/0.57 (a_1424 = store(a_1423, i15, e15)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[865, 864])).
% 0.41/0.57 tff(867,plain,
% 0.41/0.57 (store(a_1423, i15, e15) = a_1424),
% 0.41/0.57 inference(symmetry,[status(thm)],[866])).
% 0.41/0.57 tff(868,plain,
% 0.41/0.57 (store(store(a_1423, i15, e15), i16, e16) = store(a_1424, i16, e16)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[867])).
% 0.41/0.57 tff(869,plain,
% 0.41/0.57 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[868])).
% 0.41/0.57 tff(870,plain,
% 0.41/0.57 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = e_1491),
% 0.41/0.57 inference(transitivity,[status(thm)],[869, 863, 848, 842, 827, 821, 816, 810, 795, 789, 774, 768, 753, 747, 732, 726, 711, 705, 690, 684, 669, 663, 648, 642, 637, 636, 116, 634, 135, 622, 154, 610, 173, 598, 192, 586, 211, 584, 230, 572, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.41/0.57 tff(871,plain,
% 0.41/0.57 ((select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[870, 555])).
% 0.41/0.57 tff(872,plain,
% 0.41/0.57 ((e_1491 = e_1492) <=> (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(symmetry,[status(thm)],[871])).
% 0.41/0.57 tff(873,plain,
% 0.41/0.57 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[872])).
% 0.41/0.57 tff(874,plain,
% 0.41/0.57 (~(select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[314, 873])).
% 0.41/0.57 tff(875,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1449, a_1489)) | (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1449, a_1489)) | (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(876,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1449, a_1489)) | (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(877,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1449, a_1489)) | (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[876, 875])).
% 0.41/0.57 tff(878,plain,
% 0.41/0.57 ((i16 = sk(a_1449, a_1489)) | (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[877, 33])).
% 0.41/0.57 tff(879,plain,
% 0.41/0.57 ($false),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[878, 874, 541])).
% 0.41/0.57 tff(880,plain,((~(i15 = sk(a_1449, a_1489))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i19 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i34 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.41/0.57 tff(881,plain,
% 0.41/0.57 (~(i15 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[880, 530, 521, 320, 55, 27, 319, 57, 523])).
% 0.41/0.57 tff(882,plain,
% 0.41/0.57 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[370, 881])).
% 0.41/0.57 tff(883,plain,
% 0.41/0.57 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[882])).
% 0.41/0.57 tff(884,assumption,(~(i36 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(885,plain,
% 0.41/0.57 (select(store(a_1486, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[89])).
% 0.41/0.57 tff(886,plain,
% 0.41/0.57 (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[885])).
% 0.41/0.57 tff(887,plain,
% 0.41/0.57 (store(a_1485, i34, e34) = store(store(a_1484, i15, e15), i34, e34)),
% 0.41/0.57 inference(symmetry,[status(thm)],[338])).
% 0.41/0.57 tff(888,plain,
% 0.41/0.57 (select(store(a_1485, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[887])).
% 0.41/0.57 tff(889,plain,
% 0.41/0.57 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[888])).
% 0.41/0.57 tff(890,plain,
% 0.41/0.57 (store(a_1484, i15, e15) = store(store(a_1483, i30, e30), i15, e15)),
% 0.41/0.57 inference(symmetry,[status(thm)],[357])).
% 0.41/0.57 tff(891,plain,
% 0.41/0.57 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[890])).
% 0.41/0.57 tff(892,plain,
% 0.41/0.57 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[891])).
% 0.41/0.57 tff(893,plain,
% 0.41/0.57 (store(a_1483, i30, e30) = store(store(a_1482, i4, e4), i30, e30)),
% 0.41/0.57 inference(symmetry,[status(thm)],[377])).
% 0.41/0.57 tff(894,plain,
% 0.41/0.57 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[893])).
% 0.41/0.57 tff(895,plain,
% 0.41/0.57 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[894])).
% 0.41/0.57 tff(896,plain,
% 0.41/0.57 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[570, 884])).
% 0.41/0.57 tff(897,assumption,(~(i35 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(898,plain,
% 0.41/0.57 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[582, 897])).
% 0.41/0.57 tff(899,plain,
% 0.41/0.57 ((i31 = i30) <=> (i30 = i31)),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(900,assumption,(i30 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.41/0.57 tff(901,plain,
% 0.41/0.57 (sk(a_1449, a_1489) = i30),
% 0.41/0.57 inference(symmetry,[status(thm)],[900])).
% 0.41/0.57 tff(902,plain,
% 0.41/0.57 ((i31 = sk(a_1449, a_1489)) <=> (i31 = i30)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[901])).
% 0.41/0.57 tff(903,plain,
% 0.41/0.57 ((i31 = sk(a_1449, a_1489)) <=> (i30 = i31)),
% 0.41/0.57 inference(transitivity,[status(thm)],[902, 899])).
% 0.41/0.57 tff(904,plain,
% 0.41/0.57 ((i30 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[903])).
% 0.41/0.57 tff(905,plain,
% 0.41/0.57 ((~(i30 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[904])).
% 0.41/0.57 tff(906,plain,
% 0.41/0.57 ((~(i30 = i31)) <=> (~(i30 = i31))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(907,axiom,(~(i30 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp137')).
% 0.41/0.57 tff(908,plain,
% 0.41/0.57 (~(i30 = i31)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[907, 906])).
% 0.41/0.57 tff(909,plain,
% 0.41/0.57 (~(i31 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[908, 905])).
% 0.41/0.57 tff(910,assumption,(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(911,plain,
% 0.41/0.57 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[910])).
% 0.41/0.57 tff(912,assumption,(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(913,plain,
% 0.41/0.57 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[912])).
% 0.41/0.57 tff(914,plain,
% 0.41/0.57 (select(store(store(a_1482, i4, e4), i30, e30), i30) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[377, 900])).
% 0.41/0.57 tff(915,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1482, i4, e4), i30, e30), i30) = e30)),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(916,plain,
% 0.41/0.57 (select(store(store(a_1482, i4, e4), i30, e30), i30) = e30),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[915, 97])).
% 0.41/0.57 tff(917,plain,
% 0.41/0.57 (e30 = select(store(store(a_1482, i4, e4), i30, e30), i30)),
% 0.41/0.57 inference(symmetry,[status(thm)],[916])).
% 0.41/0.57 tff(918,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1437, i29, e29), i30, e30), i30) = e30)),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(919,plain,
% 0.41/0.57 (select(store(store(a_1437, i29, e29), i30, e30), i30) = e30),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[918, 97])).
% 0.41/0.57 tff(920,plain,
% 0.41/0.57 (store(a_1438, i30, e30) = store(store(a_1437, i29, e29), i30, e30)),
% 0.41/0.57 inference(symmetry,[status(thm)],[134])).
% 0.41/0.57 tff(921,plain,
% 0.41/0.57 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), i30)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[920, 901])).
% 0.41/0.57 tff(922,plain,
% 0.41/0.57 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = e_1492),
% 0.41/0.57 inference(transitivity,[status(thm)],[921, 919, 917, 914, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.41/0.57 tff(923,assumption,(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(924,plain,
% 0.41/0.57 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[923])).
% 0.41/0.57 tff(925,assumption,(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(926,plain,
% 0.41/0.57 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[925])).
% 0.41/0.57 tff(927,assumption,(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))), introduced(assumption)).
% 0.41/0.57 tff(928,plain,
% 0.41/0.57 (select(store(a_1441, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[927])).
% 0.41/0.57 tff(929,plain,
% 0.41/0.57 ((i30 = i33) <=> (sk(a_1449, a_1489) = i33)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[900])).
% 0.41/0.57 tff(930,plain,
% 0.41/0.57 ((i30 = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(transitivity,[status(thm)],[929, 175])).
% 0.41/0.57 tff(931,plain,
% 0.41/0.57 ((~(i30 = i33)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[930])).
% 0.41/0.57 tff(932,plain,
% 0.41/0.57 ((~(i30 = i33)) <=> (~(i30 = i33))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(933,axiom,(~(i30 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp135')).
% 0.41/0.57 tff(934,plain,
% 0.41/0.57 (~(i30 = i33)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[933, 932])).
% 0.41/0.57 tff(935,plain,
% 0.41/0.57 (~(i33 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[934, 931])).
% 0.41/0.57 tff(936,plain,
% 0.41/0.57 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[596, 935])).
% 0.41/0.57 tff(937,plain,
% 0.41/0.57 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[936])).
% 0.41/0.57 tff(938,plain,
% 0.41/0.57 ((i32 = i30) <=> (i30 = i32)),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(939,plain,
% 0.41/0.57 ((i32 = sk(a_1449, a_1489)) <=> (i32 = i30)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[901])).
% 0.41/0.57 tff(940,plain,
% 0.41/0.57 ((i32 = sk(a_1449, a_1489)) <=> (i30 = i32)),
% 0.41/0.57 inference(transitivity,[status(thm)],[939, 938])).
% 0.41/0.57 tff(941,plain,
% 0.41/0.57 ((i30 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(symmetry,[status(thm)],[940])).
% 0.41/0.57 tff(942,plain,
% 0.41/0.57 ((~(i30 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[941])).
% 0.41/0.57 tff(943,plain,
% 0.41/0.57 ((~(i30 = i32)) <=> (~(i30 = i32))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(944,axiom,(~(i30 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp136')).
% 0.41/0.57 tff(945,plain,
% 0.41/0.57 (~(i30 = i32)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[944, 943])).
% 0.41/0.57 tff(946,plain,
% 0.41/0.57 (~(i32 = sk(a_1449, a_1489))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[945, 942])).
% 0.41/0.57 tff(947,plain,
% 0.41/0.57 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[608, 946])).
% 0.41/0.57 tff(948,plain,
% 0.41/0.57 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[947])).
% 0.41/0.58 tff(949,plain,
% 0.41/0.58 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = e_1491),
% 0.41/0.58 inference(transitivity,[status(thm)],[154, 948, 173, 937, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.41/0.58 tff(950,plain,
% 0.41/0.58 ((select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[949, 922])).
% 0.41/0.58 tff(951,plain,
% 0.41/0.58 ((e_1491 = e_1492) <=> (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))),
% 0.41/0.58 inference(symmetry,[status(thm)],[950])).
% 0.41/0.58 tff(952,plain,
% 0.41/0.58 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[951])).
% 0.41/0.58 tff(953,plain,
% 0.41/0.58 (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[314, 952])).
% 0.41/0.58 tff(954,plain,
% 0.41/0.58 ($false),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[620, 953, 909])).
% 0.41/0.58 tff(955,plain,((~(i30 = sk(a_1449, a_1489))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))), inference(lemma,lemma(discharge,[]))).
% 0.41/0.58 tff(956,plain,
% 0.41/0.58 (~(i30 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[955, 585, 526, 326, 69, 38, 882, 898, 896, 530, 521, 320, 55])).
% 0.41/0.58 tff(957,plain,
% 0.41/0.58 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[389, 956])).
% 0.41/0.58 tff(958,plain,
% 0.41/0.58 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[957])).
% 0.41/0.58 tff(959,plain,
% 0.41/0.58 (store(a_1482, i4, e4) = store(store(a_1481, i5, e5), i4, e4)),
% 0.41/0.58 inference(symmetry,[status(thm)],[396])).
% 0.41/0.58 tff(960,plain,
% 0.41/0.58 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[959])).
% 0.41/0.58 tff(961,plain,
% 0.41/0.58 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[960])).
% 0.41/0.58 tff(962,assumption,(i33 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.41/0.58 tff(963,plain,
% 0.41/0.58 (sk(a_1449, a_1489) = i33),
% 0.41/0.58 inference(symmetry,[status(thm)],[962])).
% 0.41/0.58 tff(964,plain,
% 0.41/0.58 ((i2 = sk(a_1449, a_1489)) <=> (i2 = i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[963])).
% 0.41/0.58 tff(965,plain,
% 0.41/0.58 ((i2 = i33) <=> (i2 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[964])).
% 0.41/0.58 tff(966,plain,
% 0.41/0.58 ((~(i2 = i33)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[965])).
% 0.41/0.58 tff(967,plain,
% 0.41/0.58 ((~(i2 = i33)) <=> (~(i2 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(968,axiom,(~(i2 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp793')).
% 0.41/0.58 tff(969,plain,
% 0.41/0.58 (~(i2 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[968, 967])).
% 0.41/0.58 tff(970,plain,
% 0.41/0.58 (~(i2 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[969, 966])).
% 0.41/0.58 tff(971,plain,
% 0.41/0.58 (~(i38 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[518, 332, 55, 80, 70, 318])).
% 0.41/0.58 tff(972,plain,
% 0.41/0.58 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[520, 971])).
% 0.41/0.58 tff(973,plain,
% 0.41/0.58 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[972])).
% 0.41/0.58 tff(974,plain,
% 0.41/0.58 (select(store(store(a_1440, i32, e32), i33, e33), i33) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[191, 962])).
% 0.41/0.58 tff(975,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1440, i32, e32), i33, e33), i33) = e33)),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(976,plain,
% 0.41/0.58 (select(store(store(a_1440, i32, e32), i33, e33), i33) = e33),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[975, 97])).
% 0.41/0.58 tff(977,plain,
% 0.41/0.58 (e33 = select(store(store(a_1440, i32, e32), i33, e33), i33)),
% 0.41/0.58 inference(symmetry,[status(thm)],[976])).
% 0.41/0.58 tff(978,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1472, i8, e8), i33, e33), i33) = e33)),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(979,plain,
% 0.41/0.58 (select(store(store(a_1472, i8, e8), i33, e33), i33) = e33),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[978, 97])).
% 0.41/0.58 tff(980,plain,
% 0.41/0.58 ((a_1473 = store(a_1472, i8, e8)) <=> (a_1473 = store(a_1472, i8, e8))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(981,axiom,(a_1473 = store(a_1472, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp63')).
% 0.41/0.58 tff(982,plain,
% 0.41/0.58 (a_1473 = store(a_1472, i8, e8)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[981, 980])).
% 0.41/0.58 tff(983,plain,
% 0.41/0.58 (store(a_1472, i8, e8) = a_1473),
% 0.41/0.58 inference(symmetry,[status(thm)],[982])).
% 0.41/0.58 tff(984,plain,
% 0.41/0.58 (store(store(a_1472, i8, e8), i33, e33) = store(a_1473, i33, e33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[983])).
% 0.41/0.58 tff(985,plain,
% 0.41/0.58 (store(a_1473, i33, e33) = store(store(a_1472, i8, e8), i33, e33)),
% 0.41/0.58 inference(symmetry,[status(thm)],[984])).
% 0.41/0.58 tff(986,plain,
% 0.41/0.58 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[985, 963])).
% 0.41/0.58 tff(987,plain,
% 0.41/0.58 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = e_1491),
% 0.41/0.58 inference(transitivity,[status(thm)],[986, 979, 977, 974, 928, 211, 926, 230, 924, 249, 562, 268, 973, 287, 321, 307, 56, 50, 5])).
% 0.41/0.58 tff(988,plain,
% 0.41/0.58 (~(i30 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 925, 923, 561, 972, 320, 55])).
% 0.41/0.58 tff(989,plain,
% 0.41/0.58 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[389, 988])).
% 0.41/0.58 tff(990,plain,
% 0.41/0.58 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[989])).
% 0.41/0.58 tff(991,plain,
% 0.41/0.58 ((i4 = i33) <=> (i4 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[962])).
% 0.41/0.58 tff(992,plain,
% 0.41/0.58 ((~(i4 = i33)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[991])).
% 0.41/0.58 tff(993,plain,
% 0.41/0.58 ((~(i4 = i33)) <=> (~(i4 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(994,axiom,(~(i4 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp720')).
% 0.41/0.58 tff(995,plain,
% 0.41/0.58 (~(i4 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[994, 993])).
% 0.41/0.58 tff(996,plain,
% 0.41/0.58 (~(i4 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[995, 992])).
% 0.41/0.58 tff(997,plain,
% 0.41/0.58 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[408, 996])).
% 0.41/0.58 tff(998,plain,
% 0.41/0.58 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[997])).
% 0.41/0.58 tff(999,plain,
% 0.41/0.58 ((i5 = sk(a_1449, a_1489)) <=> (i5 = i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[963])).
% 0.41/0.58 tff(1000,plain,
% 0.41/0.58 ((i5 = i33) <=> (i5 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[999])).
% 0.41/0.58 tff(1001,plain,
% 0.41/0.58 ((~(i5 = i33)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[1000])).
% 0.41/0.58 tff(1002,plain,
% 0.41/0.58 ((~(i5 = i33)) <=> (~(i5 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(1003,axiom,(~(i5 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp685')).
% 0.41/0.58 tff(1004,plain,
% 0.41/0.58 (~(i5 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 0.41/0.58 tff(1005,plain,
% 0.41/0.58 (~(i5 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1004, 1001])).
% 0.41/0.58 tff(1006,plain,
% 0.41/0.58 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[427, 1005])).
% 0.41/0.58 tff(1007,plain,
% 0.41/0.58 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[1006])).
% 0.41/0.58 tff(1008,plain,
% 0.41/0.58 ((i3 = sk(a_1449, a_1489)) <=> (i3 = i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[963])).
% 0.41/0.58 tff(1009,plain,
% 0.41/0.58 ((i3 = i33) <=> (i3 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[1008])).
% 0.41/0.58 tff(1010,plain,
% 0.41/0.58 ((~(i3 = i33)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[1009])).
% 0.41/0.58 tff(1011,plain,
% 0.41/0.58 ((~(i3 = i33)) <=> (~(i3 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(1012,axiom,(~(i3 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp756')).
% 0.41/0.58 tff(1013,plain,
% 0.41/0.58 (~(i3 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 0.41/0.58 tff(1014,plain,
% 0.41/0.58 (~(i3 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1013, 1010])).
% 0.41/0.58 tff(1015,plain,
% 0.41/0.58 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[446, 1014])).
% 0.41/0.58 tff(1016,plain,
% 0.41/0.58 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[1015])).
% 0.41/0.58 tff(1017,plain,
% 0.41/0.58 ((i9 = sk(a_1449, a_1489)) <=> (i9 = i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[963])).
% 0.41/0.58 tff(1018,plain,
% 0.41/0.58 ((i9 = i33) <=> (i9 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(symmetry,[status(thm)],[1017])).
% 0.41/0.58 tff(1019,plain,
% 0.41/0.58 ((~(i9 = i33)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[1018])).
% 0.41/0.58 tff(1020,plain,
% 0.41/0.58 ((~(i9 = i33)) <=> (~(i9 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(1021,axiom,(~(i9 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp555')).
% 0.41/0.58 tff(1022,plain,
% 0.41/0.58 (~(i9 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 0.41/0.58 tff(1023,plain,
% 0.41/0.58 (~(i9 = sk(a_1449, a_1489))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[1022, 1019])).
% 0.41/0.58 tff(1024,plain,
% 0.41/0.58 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[465, 1023])).
% 0.41/0.58 tff(1025,plain,
% 0.43/0.58 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1024])).
% 0.43/0.58 tff(1026,plain,
% 0.43/0.58 ((i1 = sk(a_1449, a_1489)) <=> (i1 = i33)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[963])).
% 0.43/0.58 tff(1027,plain,
% 0.43/0.58 ((i1 = i33) <=> (i1 = sk(a_1449, a_1489))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1026])).
% 0.43/0.58 tff(1028,plain,
% 0.43/0.58 ((~(i1 = i33)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1027])).
% 0.43/0.58 tff(1029,plain,
% 0.43/0.58 ((~(i1 = i33)) <=> (~(i1 = i33))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1030,axiom,(~(i1 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp831')).
% 0.43/0.58 tff(1031,plain,
% 0.43/0.58 (~(i1 = i33)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 0.43/0.58 tff(1032,plain,
% 0.43/0.58 (~(i1 = sk(a_1449, a_1489))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1031, 1028])).
% 0.43/0.58 tff(1033,plain,
% 0.43/0.58 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[484, 1032])).
% 0.43/0.58 tff(1034,plain,
% 0.43/0.58 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1033])).
% 0.43/0.58 tff(1035,plain,
% 0.43/0.58 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[502])).
% 0.43/0.58 tff(1036,plain,
% 0.43/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1449, a_1489)) | (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1449, a_1489)) | (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1037,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1449, a_1489)) | (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))))),
% 0.43/0.58 inference(quant_inst,[status(thm)],[])).
% 0.43/0.58 tff(1038,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1449, a_1489)) | (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 0.43/0.58 tff(1039,plain,
% 0.43/0.58 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1038, 33, 971])).
% 0.43/0.58 tff(1040,plain,
% 0.43/0.58 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1039])).
% 0.43/0.58 tff(1041,plain,
% 0.43/0.58 ((a_1475 = store(a_1474, i2, e2)) <=> (a_1475 = store(a_1474, i2, e2))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1042,axiom,(a_1475 = store(a_1474, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp65')).
% 0.43/0.58 tff(1043,plain,
% 0.43/0.58 (a_1475 = store(a_1474, i2, e2)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 0.43/0.58 tff(1044,plain,
% 0.43/0.58 (store(a_1474, i2, e2) = a_1475),
% 0.43/0.58 inference(symmetry,[status(thm)],[1043])).
% 0.43/0.58 tff(1045,plain,
% 0.43/0.58 (store(store(a_1474, i2, e2), i40, e40) = store(a_1475, i40, e40)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1044])).
% 0.43/0.58 tff(1046,plain,
% 0.43/0.58 (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1045])).
% 0.43/0.58 tff(1047,plain,
% 0.43/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1449, a_1489)) | (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1449, a_1489)) | (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1048,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1449, a_1489)) | (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))))),
% 0.43/0.58 inference(quant_inst,[status(thm)],[])).
% 0.43/0.58 tff(1049,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1449, a_1489)) | (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 0.43/0.58 tff(1050,plain,
% 0.43/0.58 (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1049, 33, 14])).
% 0.43/0.58 tff(1051,plain,
% 0.43/0.58 (select(store(a_1474, i2, e2), sk(a_1449, a_1489)) = select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1050])).
% 0.43/0.58 tff(1052,plain,
% 0.43/0.58 ((a_1474 = store(a_1473, i33, e33)) <=> (a_1474 = store(a_1473, i33, e33))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1053,axiom,(a_1474 = store(a_1473, i33, e33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp64')).
% 0.43/0.58 tff(1054,plain,
% 0.43/0.58 (a_1474 = store(a_1473, i33, e33)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 0.43/0.58 tff(1055,plain,
% 0.43/0.58 (store(a_1473, i33, e33) = a_1474),
% 0.43/0.58 inference(symmetry,[status(thm)],[1054])).
% 0.43/0.58 tff(1056,plain,
% 0.43/0.58 (store(store(a_1473, i33, e33), i2, e2) = store(a_1474, i2, e2)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1055])).
% 0.43/0.58 tff(1057,plain,
% 0.43/0.58 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1056])).
% 0.43/0.58 tff(1058,plain,
% 0.43/0.58 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = e_1492),
% 0.43/0.58 inference(transitivity,[status(thm)],[1057, 1051, 1046, 1040, 1035, 497, 492, 1034, 473, 1025, 454, 1016, 435, 1007, 416, 998, 397, 990, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.43/0.58 tff(1059,plain,
% 0.43/0.58 ((select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1058, 987])).
% 0.43/0.58 tff(1060,plain,
% 0.43/0.58 ((select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1059, 1])).
% 0.43/0.58 tff(1061,plain,
% 0.43/0.58 ((e_1491 = e_1492) <=> (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1060])).
% 0.43/0.58 tff(1062,plain,
% 0.43/0.58 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1061])).
% 0.43/0.58 tff(1063,plain,
% 0.43/0.58 (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[314, 1062])).
% 0.43/0.58 tff(1064,plain,
% 0.43/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1449, a_1489)) | (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1449, a_1489)) | (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1065,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1449, a_1489)) | (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1066,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1449, a_1489)) | (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.43/0.59 tff(1067,plain,
% 0.43/0.59 ((i2 = sk(a_1449, a_1489)) | (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1066, 33])).
% 0.43/0.59 tff(1068,plain,
% 0.43/0.59 ($false),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1067, 1063, 970])).
% 0.43/0.59 tff(1069,plain,((~(i33 = sk(a_1449, a_1489))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.59 tff(1070,plain,
% 0.43/0.59 (~(i33 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1069, 585, 898, 896, 530, 882, 526, 326, 69, 38, 14, 318])).
% 0.43/0.59 tff(1071,plain,
% 0.43/0.59 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[596, 1070])).
% 0.43/0.59 tff(1072,plain,
% 0.43/0.59 ((i5 = i4) <=> (i4 = i5)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1073,assumption,(i4 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.43/0.59 tff(1074,plain,
% 0.43/0.59 (sk(a_1449, a_1489) = i4),
% 0.43/0.59 inference(symmetry,[status(thm)],[1073])).
% 0.43/0.59 tff(1075,plain,
% 0.43/0.59 ((i5 = sk(a_1449, a_1489)) <=> (i5 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1076,plain,
% 0.43/0.59 ((i5 = sk(a_1449, a_1489)) <=> (i4 = i5)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1075, 1072])).
% 0.43/0.59 tff(1077,plain,
% 0.43/0.59 ((i4 = i5) <=> (i5 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1076])).
% 0.43/0.59 tff(1078,plain,
% 0.43/0.59 ((~(i4 = i5)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1077])).
% 0.43/0.59 tff(1079,plain,
% 0.43/0.59 ((~(i4 = i5)) <=> (~(i4 = i5))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1080,axiom,(~(i4 = i5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp748')).
% 0.43/0.59 tff(1081,plain,
% 0.43/0.59 (~(i4 = i5)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 0.43/0.59 tff(1082,plain,
% 0.43/0.59 (~(i5 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1081, 1078])).
% 0.43/0.59 tff(1083,assumption,(~(i15 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.59 tff(1084,plain,
% 0.43/0.59 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[370, 1083])).
% 0.43/0.59 tff(1085,plain,
% 0.43/0.59 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1084])).
% 0.43/0.59 tff(1086,plain,
% 0.43/0.59 (~(i30 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[955, 927, 910, 326, 69, 38, 1084, 925, 923, 561, 559, 557, 309])).
% 0.43/0.59 tff(1087,plain,
% 0.43/0.59 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[389, 1086])).
% 0.43/0.59 tff(1088,plain,
% 0.43/0.59 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1087])).
% 0.43/0.59 tff(1089,plain,
% 0.43/0.59 (select(store(store(a_1481, i5, e5), i4, e4), i4) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[396, 1073])).
% 0.43/0.59 tff(1090,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1481, i5, e5), i4, e4), i4) = e4)),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1091,plain,
% 0.43/0.59 (select(store(store(a_1481, i5, e5), i4, e4), i4) = e4),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1090, 97])).
% 0.43/0.59 tff(1092,plain,
% 0.43/0.59 (e4 = select(store(store(a_1481, i5, e5), i4, e4), i4)),
% 0.43/0.59 inference(symmetry,[status(thm)],[1091])).
% 0.43/0.59 tff(1093,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1411, i3, e3), i4, e4), i4) = e4)),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1094,plain,
% 0.43/0.59 (select(store(store(a_1411, i3, e3), i4, e4), i4) = e4),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1093, 97])).
% 0.43/0.59 tff(1095,plain,
% 0.43/0.59 ((a_1412 = store(a_1411, i3, e3)) <=> (a_1412 = store(a_1411, i3, e3))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1096,axiom,(a_1412 = store(a_1411, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp2')).
% 0.43/0.59 tff(1097,plain,
% 0.43/0.59 (a_1412 = store(a_1411, i3, e3)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 0.43/0.59 tff(1098,plain,
% 0.43/0.59 (store(a_1411, i3, e3) = a_1412),
% 0.43/0.59 inference(symmetry,[status(thm)],[1097])).
% 0.43/0.59 tff(1099,plain,
% 0.43/0.59 (store(store(a_1411, i3, e3), i4, e4) = store(a_1412, i4, e4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1098])).
% 0.43/0.59 tff(1100,plain,
% 0.43/0.59 (store(a_1412, i4, e4) = store(store(a_1411, i3, e3), i4, e4)),
% 0.43/0.59 inference(symmetry,[status(thm)],[1099])).
% 0.43/0.59 tff(1101,plain,
% 0.43/0.59 (select(store(a_1412, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1411, i3, e3), i4, e4), i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1100, 1074])).
% 0.43/0.59 tff(1102,plain,
% 0.43/0.59 (select(store(a_1412, i4, e4), sk(a_1449, a_1489)) = e_1492),
% 0.43/0.59 inference(transitivity,[status(thm)],[1101, 1094, 1092, 1089, 1088, 378, 1085, 358, 911, 339, 525, 331, 524, 330, 39, 329, 13])).
% 0.43/0.59 tff(1103,assumption,(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.59 tff(1104,plain,
% 0.43/0.59 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1103])).
% 0.43/0.59 tff(1105,plain,
% 0.43/0.59 ((i4 = i32) <=> (sk(a_1449, a_1489) = i32)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1073])).
% 0.43/0.59 tff(1106,plain,
% 0.43/0.59 ((i4 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(transitivity,[status(thm)],[1105, 156])).
% 0.43/0.59 tff(1107,plain,
% 0.43/0.59 ((~(i4 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1106])).
% 0.43/0.59 tff(1108,plain,
% 0.43/0.59 ((~(i4 = i32)) <=> (~(i4 = i32))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1109,axiom,(~(i4 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp721')).
% 0.43/0.59 tff(1110,plain,
% 0.43/0.59 (~(i4 = i32)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 0.43/0.59 tff(1111,plain,
% 0.43/0.59 (~(i32 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1110, 1107])).
% 0.43/0.59 tff(1112,plain,
% 0.43/0.59 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[608, 1111])).
% 0.43/0.59 tff(1113,plain,
% 0.43/0.59 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1112])).
% 0.43/0.59 tff(1114,plain,
% 0.43/0.59 ((i31 = i4) <=> (i4 = i31)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1115,plain,
% 0.43/0.59 ((i31 = sk(a_1449, a_1489)) <=> (i31 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1116,plain,
% 0.43/0.59 ((i31 = sk(a_1449, a_1489)) <=> (i4 = i31)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1115, 1114])).
% 0.43/0.59 tff(1117,plain,
% 0.43/0.59 ((i4 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1116])).
% 0.43/0.59 tff(1118,plain,
% 0.43/0.59 ((~(i4 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1117])).
% 0.43/0.59 tff(1119,plain,
% 0.43/0.59 ((~(i4 = i31)) <=> (~(i4 = i31))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1120,axiom,(~(i4 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp722')).
% 0.43/0.59 tff(1121,plain,
% 0.43/0.59 (~(i4 = i31)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 0.43/0.59 tff(1122,plain,
% 0.43/0.59 (~(i31 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1121, 1118])).
% 0.43/0.59 tff(1123,plain,
% 0.43/0.59 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[620, 1122])).
% 0.43/0.59 tff(1124,plain,
% 0.43/0.59 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1123])).
% 0.43/0.59 tff(1125,plain,
% 0.43/0.59 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[128, 33, 1086])).
% 0.43/0.59 tff(1126,plain,
% 0.43/0.59 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1125])).
% 0.43/0.59 tff(1127,plain,
% 0.43/0.59 ((i27 = i4) <=> (i4 = i27)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1128,plain,
% 0.43/0.59 ((i27 = sk(a_1449, a_1489)) <=> (i27 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1129,plain,
% 0.43/0.59 ((i27 = sk(a_1449, a_1489)) <=> (i4 = i27)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1128, 1127])).
% 0.43/0.59 tff(1130,plain,
% 0.43/0.59 ((i4 = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1129])).
% 0.43/0.59 tff(1131,plain,
% 0.43/0.59 ((~(i4 = i27)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1130])).
% 0.43/0.59 tff(1132,plain,
% 0.43/0.59 ((~(i4 = i27)) <=> (~(i4 = i27))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1133,axiom,(~(i4 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp726')).
% 0.43/0.59 tff(1134,plain,
% 0.43/0.59 (~(i4 = i27)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 0.43/0.59 tff(1135,plain,
% 0.43/0.59 (~(i27 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1134, 1131])).
% 0.43/0.59 tff(1136,plain,
% 0.43/0.59 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[661, 1135])).
% 0.43/0.59 tff(1137,plain,
% 0.43/0.59 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1136])).
% 0.43/0.59 tff(1138,plain,
% 0.43/0.59 ((i26 = i4) <=> (i4 = i26)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1139,plain,
% 0.43/0.59 ((i26 = sk(a_1449, a_1489)) <=> (i26 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1140,plain,
% 0.43/0.59 ((i26 = sk(a_1449, a_1489)) <=> (i4 = i26)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1139, 1138])).
% 0.43/0.59 tff(1141,plain,
% 0.43/0.59 ((i4 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1140])).
% 0.43/0.59 tff(1142,plain,
% 0.43/0.59 ((~(i4 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1141])).
% 0.43/0.59 tff(1143,plain,
% 0.43/0.59 ((~(i4 = i26)) <=> (~(i4 = i26))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1144,axiom,(~(i4 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp727')).
% 0.43/0.59 tff(1145,plain,
% 0.43/0.59 (~(i4 = i26)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 0.43/0.59 tff(1146,plain,
% 0.43/0.59 (~(i26 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1145, 1142])).
% 0.43/0.59 tff(1147,plain,
% 0.43/0.59 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[682, 1146])).
% 0.43/0.59 tff(1148,plain,
% 0.43/0.59 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1147])).
% 0.43/0.59 tff(1149,plain,
% 0.43/0.59 ((i25 = i4) <=> (i4 = i25)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1150,plain,
% 0.43/0.59 ((i25 = sk(a_1449, a_1489)) <=> (i25 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1151,plain,
% 0.43/0.59 ((i25 = sk(a_1449, a_1489)) <=> (i4 = i25)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1150, 1149])).
% 0.43/0.59 tff(1152,plain,
% 0.43/0.59 ((i4 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1151])).
% 0.43/0.59 tff(1153,plain,
% 0.43/0.59 ((~(i4 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1152])).
% 0.43/0.59 tff(1154,plain,
% 0.43/0.59 ((~(i4 = i25)) <=> (~(i4 = i25))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1155,axiom,(~(i4 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp728')).
% 0.43/0.59 tff(1156,plain,
% 0.43/0.59 (~(i4 = i25)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 0.43/0.59 tff(1157,plain,
% 0.43/0.59 (~(i25 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1156, 1153])).
% 0.43/0.59 tff(1158,plain,
% 0.43/0.59 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[703, 1157])).
% 0.43/0.59 tff(1159,plain,
% 0.43/0.59 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1158])).
% 0.43/0.59 tff(1160,plain,
% 0.43/0.59 ((i24 = i4) <=> (i4 = i24)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1161,plain,
% 0.43/0.59 ((i24 = sk(a_1449, a_1489)) <=> (i24 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1162,plain,
% 0.43/0.59 ((i24 = sk(a_1449, a_1489)) <=> (i4 = i24)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1161, 1160])).
% 0.43/0.59 tff(1163,plain,
% 0.43/0.59 ((i4 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1162])).
% 0.43/0.59 tff(1164,plain,
% 0.43/0.59 ((~(i4 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1163])).
% 0.43/0.59 tff(1165,plain,
% 0.43/0.59 ((~(i4 = i24)) <=> (~(i4 = i24))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1166,axiom,(~(i4 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp729')).
% 0.43/0.59 tff(1167,plain,
% 0.43/0.59 (~(i4 = i24)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 0.43/0.59 tff(1168,plain,
% 0.43/0.59 (~(i24 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1167, 1164])).
% 0.43/0.59 tff(1169,plain,
% 0.43/0.59 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[724, 1168])).
% 0.43/0.59 tff(1170,plain,
% 0.43/0.59 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1169])).
% 0.43/0.59 tff(1171,plain,
% 0.43/0.59 ((i23 = i4) <=> (i4 = i23)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1172,plain,
% 0.43/0.59 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1173,plain,
% 0.43/0.59 ((i23 = sk(a_1449, a_1489)) <=> (i4 = i23)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1172, 1171])).
% 0.43/0.59 tff(1174,plain,
% 0.43/0.59 ((i4 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1173])).
% 0.43/0.59 tff(1175,plain,
% 0.43/0.59 ((~(i4 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1174])).
% 0.43/0.59 tff(1176,plain,
% 0.43/0.59 ((~(i4 = i23)) <=> (~(i4 = i23))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1177,axiom,(~(i4 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp730')).
% 0.43/0.59 tff(1178,plain,
% 0.43/0.59 (~(i4 = i23)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 0.43/0.59 tff(1179,plain,
% 0.43/0.59 (~(i23 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1178, 1175])).
% 0.43/0.59 tff(1180,plain,
% 0.43/0.59 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[745, 1179])).
% 0.43/0.59 tff(1181,plain,
% 0.43/0.59 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1180])).
% 0.43/0.59 tff(1182,plain,
% 0.43/0.59 ((i22 = i4) <=> (i4 = i22)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1183,plain,
% 0.43/0.59 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1184,plain,
% 0.43/0.59 ((i22 = sk(a_1449, a_1489)) <=> (i4 = i22)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1183, 1182])).
% 0.43/0.59 tff(1185,plain,
% 0.43/0.59 ((i4 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1184])).
% 0.43/0.59 tff(1186,plain,
% 0.43/0.59 ((~(i4 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1185])).
% 0.43/0.59 tff(1187,plain,
% 0.43/0.59 ((~(i4 = i22)) <=> (~(i4 = i22))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1188,axiom,(~(i4 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp731')).
% 0.43/0.59 tff(1189,plain,
% 0.43/0.59 (~(i4 = i22)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 0.43/0.59 tff(1190,plain,
% 0.43/0.59 (~(i22 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1189, 1186])).
% 0.43/0.59 tff(1191,plain,
% 0.43/0.59 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[766, 1190])).
% 0.43/0.59 tff(1192,plain,
% 0.43/0.59 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1191])).
% 0.43/0.59 tff(1193,plain,
% 0.43/0.59 ((i21 = i4) <=> (i4 = i21)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1194,plain,
% 0.43/0.59 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1195,plain,
% 0.43/0.59 ((i21 = sk(a_1449, a_1489)) <=> (i4 = i21)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1194, 1193])).
% 0.43/0.59 tff(1196,plain,
% 0.43/0.59 ((i4 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1195])).
% 0.43/0.59 tff(1197,plain,
% 0.43/0.59 ((~(i4 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1196])).
% 0.43/0.59 tff(1198,plain,
% 0.43/0.59 ((~(i4 = i21)) <=> (~(i4 = i21))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1199,axiom,(~(i4 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp732')).
% 0.43/0.59 tff(1200,plain,
% 0.43/0.59 (~(i4 = i21)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 0.43/0.59 tff(1201,plain,
% 0.43/0.59 (~(i21 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1200, 1197])).
% 0.43/0.59 tff(1202,plain,
% 0.43/0.59 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[787, 1201])).
% 0.43/0.59 tff(1203,plain,
% 0.43/0.59 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1202])).
% 0.43/0.59 tff(1204,plain,
% 0.43/0.59 ((i20 = i4) <=> (i4 = i20)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1205,plain,
% 0.43/0.59 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i4)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.59 tff(1206,plain,
% 0.43/0.59 ((i20 = sk(a_1449, a_1489)) <=> (i4 = i20)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1205, 1204])).
% 0.43/0.59 tff(1207,plain,
% 0.43/0.59 ((i4 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1206])).
% 0.43/0.59 tff(1208,plain,
% 0.43/0.59 ((~(i4 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1207])).
% 0.43/0.59 tff(1209,plain,
% 0.43/0.59 ((~(i4 = i20)) <=> (~(i4 = i20))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1210,axiom,(~(i4 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp733')).
% 0.43/0.60 tff(1211,plain,
% 0.43/0.60 (~(i4 = i20)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 0.43/0.60 tff(1212,plain,
% 0.43/0.60 (~(i20 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1211, 1208])).
% 0.43/0.60 tff(1213,plain,
% 0.43/0.60 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[808, 1212])).
% 0.43/0.60 tff(1214,plain,
% 0.43/0.60 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1213])).
% 0.43/0.60 tff(1215,plain,
% 0.43/0.60 ((i18 = i4) <=> (i4 = i18)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1216,plain,
% 0.43/0.60 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1217,plain,
% 0.43/0.60 ((i18 = sk(a_1449, a_1489)) <=> (i4 = i18)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1216, 1215])).
% 0.43/0.60 tff(1218,plain,
% 0.43/0.60 ((i4 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1217])).
% 0.43/0.60 tff(1219,plain,
% 0.43/0.60 ((~(i4 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1218])).
% 0.43/0.60 tff(1220,plain,
% 0.43/0.60 ((~(i4 = i18)) <=> (~(i4 = i18))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1221,axiom,(~(i4 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp735')).
% 0.43/0.60 tff(1222,plain,
% 0.43/0.60 (~(i4 = i18)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 0.43/0.60 tff(1223,plain,
% 0.43/0.60 (~(i18 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1222, 1219])).
% 0.43/0.60 tff(1224,plain,
% 0.43/0.60 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[840, 1223])).
% 0.43/0.60 tff(1225,plain,
% 0.43/0.60 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1224])).
% 0.43/0.60 tff(1226,plain,
% 0.43/0.60 ((i17 = i4) <=> (i4 = i17)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1227,plain,
% 0.43/0.60 ((i17 = sk(a_1449, a_1489)) <=> (i17 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1228,plain,
% 0.43/0.60 ((i17 = sk(a_1449, a_1489)) <=> (i4 = i17)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1227, 1226])).
% 0.43/0.60 tff(1229,plain,
% 0.43/0.60 ((i4 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1228])).
% 0.43/0.60 tff(1230,plain,
% 0.43/0.60 ((~(i4 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1229])).
% 0.43/0.60 tff(1231,plain,
% 0.43/0.60 ((~(i4 = i17)) <=> (~(i4 = i17))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1232,axiom,(~(i4 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp736')).
% 0.43/0.60 tff(1233,plain,
% 0.43/0.60 (~(i4 = i17)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 0.43/0.60 tff(1234,plain,
% 0.43/0.60 (~(i17 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1233, 1230])).
% 0.43/0.60 tff(1235,plain,
% 0.43/0.60 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[861, 1234])).
% 0.43/0.60 tff(1236,plain,
% 0.43/0.60 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1235])).
% 0.43/0.60 tff(1237,plain,
% 0.43/0.60 ((i16 = i4) <=> (i4 = i16)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1238,plain,
% 0.43/0.60 ((i16 = sk(a_1449, a_1489)) <=> (i16 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1239,plain,
% 0.43/0.60 ((i16 = sk(a_1449, a_1489)) <=> (i4 = i16)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1238, 1237])).
% 0.43/0.60 tff(1240,plain,
% 0.43/0.60 ((i4 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1239])).
% 0.43/0.60 tff(1241,plain,
% 0.43/0.60 ((~(i4 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1240])).
% 0.43/0.60 tff(1242,plain,
% 0.43/0.60 ((~(i4 = i16)) <=> (~(i4 = i16))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1243,axiom,(~(i4 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp737')).
% 0.43/0.60 tff(1244,plain,
% 0.43/0.60 (~(i4 = i16)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 0.43/0.60 tff(1245,plain,
% 0.43/0.60 (~(i16 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1244, 1241])).
% 0.43/0.60 tff(1246,plain,
% 0.43/0.60 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[878, 1245])).
% 0.43/0.60 tff(1247,plain,
% 0.43/0.60 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1246])).
% 0.43/0.60 tff(1248,plain,
% 0.43/0.60 (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[552])).
% 0.43/0.60 tff(1249,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1449, a_1489)) | (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1449, a_1489)) | (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1250,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1449, a_1489)) | (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1251,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1449, a_1489)) | (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 0.43/0.60 tff(1252,plain,
% 0.43/0.60 (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1251, 33, 1083])).
% 0.43/0.60 tff(1253,plain,
% 0.43/0.60 (select(store(a_1422, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1252])).
% 0.43/0.60 tff(1254,plain,
% 0.43/0.60 ((a_1422 = store(a_1421, i13, e13)) <=> (a_1422 = store(a_1421, i13, e13))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1255,axiom,(a_1422 = store(a_1421, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp12')).
% 0.43/0.60 tff(1256,plain,
% 0.43/0.60 (a_1422 = store(a_1421, i13, e13)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 0.43/0.60 tff(1257,plain,
% 0.43/0.60 (store(a_1421, i13, e13) = a_1422),
% 0.43/0.60 inference(symmetry,[status(thm)],[1256])).
% 0.43/0.60 tff(1258,plain,
% 0.43/0.60 (store(store(a_1421, i13, e13), i14, e14) = store(a_1422, i14, e14)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1257])).
% 0.43/0.60 tff(1259,plain,
% 0.43/0.60 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1258])).
% 0.43/0.60 tff(1260,plain,
% 0.43/0.60 ((i14 = i4) <=> (i4 = i14)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1261,plain,
% 0.43/0.60 ((i14 = sk(a_1449, a_1489)) <=> (i14 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1262,plain,
% 0.43/0.60 ((i14 = sk(a_1449, a_1489)) <=> (i4 = i14)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1261, 1260])).
% 0.43/0.60 tff(1263,plain,
% 0.43/0.60 ((i4 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1262])).
% 0.43/0.60 tff(1264,plain,
% 0.43/0.60 ((~(i4 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1263])).
% 0.43/0.60 tff(1265,plain,
% 0.43/0.60 ((~(i4 = i14)) <=> (~(i4 = i14))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1266,axiom,(~(i4 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp739')).
% 0.43/0.60 tff(1267,plain,
% 0.43/0.60 (~(i4 = i14)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1266, 1265])).
% 0.43/0.60 tff(1268,plain,
% 0.43/0.60 (~(i14 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1267, 1264])).
% 0.43/0.60 tff(1269,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1449, a_1489)) | (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1449, a_1489)) | (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1270,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1449, a_1489)) | (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1271,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1449, a_1489)) | (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 0.43/0.60 tff(1272,plain,
% 0.43/0.60 ((i14 = sk(a_1449, a_1489)) | (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489)))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1271, 33])).
% 0.43/0.60 tff(1273,plain,
% 0.43/0.60 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1272, 1268])).
% 0.43/0.60 tff(1274,plain,
% 0.43/0.60 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1273])).
% 0.43/0.60 tff(1275,plain,
% 0.43/0.60 ((a_1421 = store(a_1420, i12, e12)) <=> (a_1421 = store(a_1420, i12, e12))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1276,axiom,(a_1421 = store(a_1420, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp11')).
% 0.43/0.60 tff(1277,plain,
% 0.43/0.60 (a_1421 = store(a_1420, i12, e12)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 0.43/0.60 tff(1278,plain,
% 0.43/0.60 (store(a_1420, i12, e12) = a_1421),
% 0.43/0.60 inference(symmetry,[status(thm)],[1277])).
% 0.43/0.60 tff(1279,plain,
% 0.43/0.60 (store(store(a_1420, i12, e12), i13, e13) = store(a_1421, i13, e13)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1278])).
% 0.43/0.60 tff(1280,plain,
% 0.43/0.60 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1279])).
% 0.43/0.60 tff(1281,plain,
% 0.43/0.60 ((i13 = i4) <=> (i4 = i13)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1282,plain,
% 0.43/0.60 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1283,plain,
% 0.43/0.60 ((i13 = sk(a_1449, a_1489)) <=> (i4 = i13)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1282, 1281])).
% 0.43/0.60 tff(1284,plain,
% 0.43/0.60 ((i4 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1283])).
% 0.43/0.60 tff(1285,plain,
% 0.43/0.60 ((~(i4 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1284])).
% 0.43/0.60 tff(1286,plain,
% 0.43/0.60 ((~(i4 = i13)) <=> (~(i4 = i13))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1287,axiom,(~(i4 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp740')).
% 0.43/0.60 tff(1288,plain,
% 0.43/0.60 (~(i4 = i13)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 0.43/0.60 tff(1289,plain,
% 0.43/0.60 (~(i13 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1288, 1285])).
% 0.43/0.60 tff(1290,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1449, a_1489)) | (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1291,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1292,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1449, a_1489)) | (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 0.43/0.60 tff(1293,plain,
% 0.43/0.60 ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1292, 33])).
% 0.43/0.60 tff(1294,plain,
% 0.43/0.60 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1293, 1289])).
% 0.43/0.60 tff(1295,plain,
% 0.43/0.60 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1294])).
% 0.43/0.60 tff(1296,plain,
% 0.43/0.60 ((a_1420 = store(a_1419, i11, e11)) <=> (a_1420 = store(a_1419, i11, e11))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1297,axiom,(a_1420 = store(a_1419, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp10')).
% 0.43/0.60 tff(1298,plain,
% 0.43/0.60 (a_1420 = store(a_1419, i11, e11)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 0.43/0.60 tff(1299,plain,
% 0.43/0.60 (store(a_1419, i11, e11) = a_1420),
% 0.43/0.60 inference(symmetry,[status(thm)],[1298])).
% 0.43/0.60 tff(1300,plain,
% 0.43/0.60 (store(store(a_1419, i11, e11), i12, e12) = store(a_1420, i12, e12)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1299])).
% 0.43/0.60 tff(1301,plain,
% 0.43/0.60 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1300])).
% 0.43/0.60 tff(1302,plain,
% 0.43/0.60 ((i12 = i4) <=> (i4 = i12)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1303,plain,
% 0.43/0.60 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i4)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.60 tff(1304,plain,
% 0.43/0.60 ((i12 = sk(a_1449, a_1489)) <=> (i4 = i12)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1303, 1302])).
% 0.43/0.60 tff(1305,plain,
% 0.43/0.60 ((i4 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1304])).
% 0.43/0.60 tff(1306,plain,
% 0.43/0.60 ((~(i4 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1305])).
% 0.43/0.60 tff(1307,plain,
% 0.43/0.60 ((~(i4 = i12)) <=> (~(i4 = i12))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1308,axiom,(~(i4 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp741')).
% 0.43/0.60 tff(1309,plain,
% 0.43/0.60 (~(i4 = i12)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 0.43/0.60 tff(1310,plain,
% 0.43/0.60 (~(i12 = sk(a_1449, a_1489))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1309, 1306])).
% 0.43/0.60 tff(1311,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1449, a_1489)) | (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1312,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1313,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1449, a_1489)) | (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 0.43/0.61 tff(1314,plain,
% 0.43/0.61 ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1313, 33])).
% 0.43/0.61 tff(1315,plain,
% 0.43/0.61 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1314, 1310])).
% 0.43/0.61 tff(1316,plain,
% 0.43/0.61 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1315])).
% 0.43/0.61 tff(1317,plain,
% 0.43/0.61 ((a_1419 = store(a_1418, i10, e10)) <=> (a_1419 = store(a_1418, i10, e10))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1318,axiom,(a_1419 = store(a_1418, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp9')).
% 0.43/0.61 tff(1319,plain,
% 0.43/0.61 (a_1419 = store(a_1418, i10, e10)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 0.43/0.61 tff(1320,plain,
% 0.43/0.61 (store(a_1418, i10, e10) = a_1419),
% 0.43/0.61 inference(symmetry,[status(thm)],[1319])).
% 0.43/0.61 tff(1321,plain,
% 0.43/0.61 (store(store(a_1418, i10, e10), i11, e11) = store(a_1419, i11, e11)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1320])).
% 0.43/0.61 tff(1322,plain,
% 0.43/0.61 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1321])).
% 0.43/0.61 tff(1323,plain,
% 0.43/0.61 ((i11 = i4) <=> (i4 = i11)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1324,plain,
% 0.43/0.61 ((i11 = sk(a_1449, a_1489)) <=> (i11 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1325,plain,
% 0.43/0.61 ((i11 = sk(a_1449, a_1489)) <=> (i4 = i11)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1324, 1323])).
% 0.43/0.61 tff(1326,plain,
% 0.43/0.61 ((i4 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1325])).
% 0.43/0.61 tff(1327,plain,
% 0.43/0.61 ((~(i4 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1326])).
% 0.43/0.61 tff(1328,plain,
% 0.43/0.61 ((~(i4 = i11)) <=> (~(i4 = i11))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1329,axiom,(~(i4 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp742')).
% 0.43/0.61 tff(1330,plain,
% 0.43/0.61 (~(i4 = i11)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 0.43/0.61 tff(1331,plain,
% 0.43/0.61 (~(i11 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1330, 1327])).
% 0.43/0.61 tff(1332,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1449, a_1489)) | (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1449, a_1489)) | (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1333,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1449, a_1489)) | (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1334,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1449, a_1489)) | (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 0.43/0.61 tff(1335,plain,
% 0.43/0.61 ((i11 = sk(a_1449, a_1489)) | (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1334, 33])).
% 0.43/0.61 tff(1336,plain,
% 0.43/0.61 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1335, 1331])).
% 0.43/0.61 tff(1337,plain,
% 0.43/0.61 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1336])).
% 0.43/0.61 tff(1338,plain,
% 0.43/0.61 ((a_1418 = store(a_1417, i9, e9)) <=> (a_1418 = store(a_1417, i9, e9))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1339,axiom,(a_1418 = store(a_1417, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp8')).
% 0.43/0.61 tff(1340,plain,
% 0.43/0.61 (a_1418 = store(a_1417, i9, e9)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 0.43/0.61 tff(1341,plain,
% 0.43/0.61 (store(a_1417, i9, e9) = a_1418),
% 0.43/0.61 inference(symmetry,[status(thm)],[1340])).
% 0.43/0.61 tff(1342,plain,
% 0.43/0.61 (store(store(a_1417, i9, e9), i10, e10) = store(a_1418, i10, e10)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1341])).
% 0.43/0.61 tff(1343,plain,
% 0.43/0.61 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1342])).
% 0.43/0.61 tff(1344,plain,
% 0.43/0.61 ((i10 = i4) <=> (i4 = i10)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1345,plain,
% 0.43/0.61 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1346,plain,
% 0.43/0.61 ((i10 = sk(a_1449, a_1489)) <=> (i4 = i10)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1345, 1344])).
% 0.43/0.61 tff(1347,plain,
% 0.43/0.61 ((i4 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1346])).
% 0.43/0.61 tff(1348,plain,
% 0.43/0.61 ((~(i4 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1347])).
% 0.43/0.61 tff(1349,plain,
% 0.43/0.61 ((~(i4 = i10)) <=> (~(i4 = i10))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1350,axiom,(~(i4 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp743')).
% 0.43/0.61 tff(1351,plain,
% 0.43/0.61 (~(i4 = i10)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 0.43/0.61 tff(1352,plain,
% 0.43/0.61 (~(i10 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1351, 1348])).
% 0.43/0.61 tff(1353,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1449, a_1489)) | (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1354,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1355,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1449, a_1489)) | (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 0.43/0.61 tff(1356,plain,
% 0.43/0.61 ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1355, 33])).
% 0.43/0.61 tff(1357,plain,
% 0.43/0.61 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1356, 1352])).
% 0.43/0.61 tff(1358,plain,
% 0.43/0.61 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1357])).
% 0.43/0.61 tff(1359,plain,
% 0.43/0.61 ((a_1417 = store(a_1416, i8, e8)) <=> (a_1417 = store(a_1416, i8, e8))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1360,axiom,(a_1417 = store(a_1416, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp7')).
% 0.43/0.61 tff(1361,plain,
% 0.43/0.61 (a_1417 = store(a_1416, i8, e8)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 0.43/0.61 tff(1362,plain,
% 0.43/0.61 (store(a_1416, i8, e8) = a_1417),
% 0.43/0.61 inference(symmetry,[status(thm)],[1361])).
% 0.43/0.61 tff(1363,plain,
% 0.43/0.61 (store(store(a_1416, i8, e8), i9, e9) = store(a_1417, i9, e9)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1362])).
% 0.43/0.61 tff(1364,plain,
% 0.43/0.61 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1363])).
% 0.43/0.61 tff(1365,plain,
% 0.43/0.61 ((i9 = i4) <=> (i4 = i9)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1366,plain,
% 0.43/0.61 ((i9 = sk(a_1449, a_1489)) <=> (i9 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1367,plain,
% 0.43/0.61 ((i9 = sk(a_1449, a_1489)) <=> (i4 = i9)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1366, 1365])).
% 0.43/0.61 tff(1368,plain,
% 0.43/0.61 ((i4 = i9) <=> (i9 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1367])).
% 0.43/0.61 tff(1369,plain,
% 0.43/0.61 ((~(i4 = i9)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1368])).
% 0.43/0.61 tff(1370,plain,
% 0.43/0.61 ((~(i4 = i9)) <=> (~(i4 = i9))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1371,axiom,(~(i4 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp744')).
% 0.43/0.61 tff(1372,plain,
% 0.43/0.61 (~(i4 = i9)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 0.43/0.61 tff(1373,plain,
% 0.43/0.61 (~(i9 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1372, 1369])).
% 0.43/0.61 tff(1374,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1449, a_1489)) | (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1375,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1376,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1449, a_1489)) | (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 0.43/0.61 tff(1377,plain,
% 0.43/0.61 ((i9 = sk(a_1449, a_1489)) | (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1376, 33])).
% 0.43/0.61 tff(1378,plain,
% 0.43/0.61 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1377, 1373])).
% 0.43/0.61 tff(1379,plain,
% 0.43/0.61 (select(store(a_1416, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1378])).
% 0.43/0.61 tff(1380,plain,
% 0.43/0.61 ((a_1416 = store(a_1415, i7, e7)) <=> (a_1416 = store(a_1415, i7, e7))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1381,axiom,(a_1416 = store(a_1415, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp6')).
% 0.43/0.61 tff(1382,plain,
% 0.43/0.61 (a_1416 = store(a_1415, i7, e7)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 0.43/0.61 tff(1383,plain,
% 0.43/0.61 (store(a_1415, i7, e7) = a_1416),
% 0.43/0.61 inference(symmetry,[status(thm)],[1382])).
% 0.43/0.61 tff(1384,plain,
% 0.43/0.61 (store(store(a_1415, i7, e7), i8, e8) = store(a_1416, i8, e8)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1383])).
% 0.43/0.61 tff(1385,plain,
% 0.43/0.61 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1384])).
% 0.43/0.61 tff(1386,plain,
% 0.43/0.61 ((i8 = i4) <=> (i4 = i8)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1387,plain,
% 0.43/0.61 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1388,plain,
% 0.43/0.61 ((i8 = sk(a_1449, a_1489)) <=> (i4 = i8)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1387, 1386])).
% 0.43/0.61 tff(1389,plain,
% 0.43/0.61 ((i4 = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1388])).
% 0.43/0.61 tff(1390,plain,
% 0.43/0.61 ((~(i4 = i8)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1389])).
% 0.43/0.61 tff(1391,plain,
% 0.43/0.61 ((~(i4 = i8)) <=> (~(i4 = i8))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1392,axiom,(~(i4 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp745')).
% 0.43/0.61 tff(1393,plain,
% 0.43/0.61 (~(i4 = i8)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 0.43/0.61 tff(1394,plain,
% 0.43/0.61 (~(i8 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1393, 1390])).
% 0.43/0.61 tff(1395,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1449, a_1489)) | (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1396,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1397,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1449, a_1489)) | (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 0.43/0.61 tff(1398,plain,
% 0.43/0.61 ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1397, 33])).
% 0.43/0.61 tff(1399,plain,
% 0.43/0.61 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1398, 1394])).
% 0.43/0.61 tff(1400,plain,
% 0.43/0.61 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1399])).
% 0.43/0.61 tff(1401,plain,
% 0.43/0.61 ((a_1415 = store(a_1414, i6, e6)) <=> (a_1415 = store(a_1414, i6, e6))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1402,axiom,(a_1415 = store(a_1414, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp5')).
% 0.43/0.61 tff(1403,plain,
% 0.43/0.61 (a_1415 = store(a_1414, i6, e6)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 0.43/0.61 tff(1404,plain,
% 0.43/0.61 (store(a_1414, i6, e6) = a_1415),
% 0.43/0.61 inference(symmetry,[status(thm)],[1403])).
% 0.43/0.61 tff(1405,plain,
% 0.43/0.61 (store(store(a_1414, i6, e6), i7, e7) = store(a_1415, i7, e7)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1404])).
% 0.43/0.61 tff(1406,plain,
% 0.43/0.61 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1405])).
% 0.43/0.61 tff(1407,plain,
% 0.43/0.61 ((i7 = i4) <=> (i4 = i7)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1408,plain,
% 0.43/0.61 ((i7 = sk(a_1449, a_1489)) <=> (i7 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1409,plain,
% 0.43/0.61 ((i7 = sk(a_1449, a_1489)) <=> (i4 = i7)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1408, 1407])).
% 0.43/0.61 tff(1410,plain,
% 0.43/0.61 ((i4 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1409])).
% 0.43/0.61 tff(1411,plain,
% 0.43/0.61 ((~(i4 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1410])).
% 0.43/0.61 tff(1412,plain,
% 0.43/0.61 ((~(i4 = i7)) <=> (~(i4 = i7))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1413,axiom,(~(i4 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp746')).
% 0.43/0.61 tff(1414,plain,
% 0.43/0.61 (~(i4 = i7)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 0.43/0.61 tff(1415,plain,
% 0.43/0.61 (~(i7 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1414, 1411])).
% 0.43/0.61 tff(1416,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1449, a_1489)) | (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1417,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1418,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1449, a_1489)) | (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 0.43/0.61 tff(1419,plain,
% 0.43/0.61 ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1418, 33])).
% 0.43/0.61 tff(1420,plain,
% 0.43/0.61 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1419, 1415])).
% 0.43/0.61 tff(1421,plain,
% 0.43/0.61 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1420])).
% 0.43/0.61 tff(1422,plain,
% 0.43/0.61 ((a_1414 = store(a_1413, i5, e5)) <=> (a_1414 = store(a_1413, i5, e5))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1423,axiom,(a_1414 = store(a_1413, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp4')).
% 0.43/0.61 tff(1424,plain,
% 0.43/0.61 (a_1414 = store(a_1413, i5, e5)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 0.43/0.61 tff(1425,plain,
% 0.43/0.61 (store(a_1413, i5, e5) = a_1414),
% 0.43/0.61 inference(symmetry,[status(thm)],[1424])).
% 0.43/0.61 tff(1426,plain,
% 0.43/0.61 (store(store(a_1413, i5, e5), i6, e6) = store(a_1414, i6, e6)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1425])).
% 0.43/0.61 tff(1427,plain,
% 0.43/0.61 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1426])).
% 0.43/0.61 tff(1428,plain,
% 0.43/0.61 ((i6 = i4) <=> (i4 = i6)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1429,plain,
% 0.43/0.61 ((i6 = sk(a_1449, a_1489)) <=> (i6 = i4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1074])).
% 0.43/0.61 tff(1430,plain,
% 0.43/0.61 ((i6 = sk(a_1449, a_1489)) <=> (i4 = i6)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1429, 1428])).
% 0.43/0.61 tff(1431,plain,
% 0.43/0.61 ((i4 = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1430])).
% 0.43/0.61 tff(1432,plain,
% 0.43/0.61 ((~(i4 = i6)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1431])).
% 0.43/0.61 tff(1433,plain,
% 0.43/0.61 ((~(i4 = i6)) <=> (~(i4 = i6))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1434,axiom,(~(i4 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp747')).
% 0.43/0.61 tff(1435,plain,
% 0.43/0.61 (~(i4 = i6)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 0.43/0.61 tff(1436,plain,
% 0.43/0.62 (~(i6 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1435, 1432])).
% 0.43/0.62 tff(1437,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1449, a_1489)) | (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1438,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1439,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1449, a_1489)) | (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 0.43/0.62 tff(1440,plain,
% 0.43/0.62 ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1439, 33])).
% 0.43/0.62 tff(1441,plain,
% 0.43/0.62 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1440, 1436])).
% 0.43/0.62 tff(1442,plain,
% 0.43/0.62 (select(store(a_1413, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1441])).
% 0.43/0.62 tff(1443,plain,
% 0.43/0.62 ((a_1413 = store(a_1412, i4, e4)) <=> (a_1413 = store(a_1412, i4, e4))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1444,axiom,(a_1413 = store(a_1412, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp3')).
% 0.43/0.62 tff(1445,plain,
% 0.43/0.62 (a_1413 = store(a_1412, i4, e4)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 0.43/0.62 tff(1446,plain,
% 0.43/0.62 (store(a_1412, i4, e4) = a_1413),
% 0.43/0.62 inference(symmetry,[status(thm)],[1445])).
% 0.43/0.62 tff(1447,plain,
% 0.43/0.62 (store(store(a_1412, i4, e4), i5, e5) = store(a_1413, i5, e5)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1446])).
% 0.43/0.62 tff(1448,plain,
% 0.43/0.62 (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1447])).
% 0.43/0.62 tff(1449,plain,
% 0.43/0.62 (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = e_1491),
% 0.43/0.62 inference(transitivity,[status(thm)],[1448, 1442, 1427, 1421, 1406, 1400, 1385, 1379, 1364, 1358, 1343, 1337, 1322, 1316, 1301, 1295, 1280, 1274, 1259, 1253, 1248, 1247, 869, 1236, 848, 1225, 827, 821, 816, 1214, 795, 1203, 774, 1192, 753, 1181, 732, 1170, 711, 1159, 690, 1148, 669, 1137, 648, 642, 637, 636, 116, 1126, 135, 1124, 154, 1113, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.43/0.62 tff(1450,plain,
% 0.43/0.62 ((select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1449, 1102])).
% 0.43/0.62 tff(1451,plain,
% 0.43/0.62 ((e_1491 = e_1492) <=> (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1450])).
% 0.43/0.62 tff(1452,plain,
% 0.43/0.62 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1451])).
% 0.43/0.62 tff(1453,plain,
% 0.43/0.62 (~(select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[314, 1452])).
% 0.43/0.62 tff(1454,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1449, a_1489)) | (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1455,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1456,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1449, a_1489)) | (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 0.43/0.62 tff(1457,plain,
% 0.43/0.62 ((i5 = sk(a_1449, a_1489)) | (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1456, 33])).
% 0.43/0.62 tff(1458,plain,
% 0.43/0.62 ($false),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1457, 1453, 1082])).
% 0.43/0.62 tff(1459,plain,((~(i4 = sk(a_1449, a_1489))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.62 tff(1460,plain,
% 0.43/0.62 (~(i4 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1459, 1071, 526, 585, 898, 896, 530, 521, 320, 55, 881, 27, 319, 57])).
% 0.43/0.62 tff(1461,plain,
% 0.43/0.62 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[408, 1460])).
% 0.43/0.62 tff(1462,plain,
% 0.43/0.62 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1461])).
% 0.43/0.62 tff(1463,plain,
% 0.43/0.62 (~(i30 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[955, 927, 910, 326, 69, 38, 1084, 898, 896, 530, 521, 320, 55])).
% 0.43/0.62 tff(1464,plain,
% 0.43/0.62 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[389, 1463])).
% 0.43/0.62 tff(1465,plain,
% 0.43/0.62 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1464])).
% 0.43/0.62 tff(1466,plain,
% 0.43/0.62 (~(i33 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1069, 927, 898, 896, 530, 1084, 910, 326, 69, 38, 14, 318])).
% 0.43/0.62 tff(1467,plain,
% 0.43/0.62 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[596, 1466])).
% 0.43/0.62 tff(1468,plain,
% 0.43/0.62 (~(i4 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1459, 1467, 910, 927, 898, 896, 530, 521, 320, 55, 1083, 27, 319, 57])).
% 0.43/0.62 tff(1469,plain,
% 0.43/0.62 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[408, 1468])).
% 0.43/0.62 tff(1470,plain,
% 0.43/0.62 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1469])).
% 0.43/0.62 tff(1471,plain,
% 0.43/0.62 (store(a_1481, i5, e5) = store(store(a_1480, i3, e3), i5, e5)),
% 0.43/0.62 inference(symmetry,[status(thm)],[415])).
% 0.43/0.62 tff(1472,plain,
% 0.43/0.62 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1471])).
% 0.43/0.62 tff(1473,plain,
% 0.43/0.62 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1472])).
% 0.43/0.62 tff(1474,assumption,(~(i5 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1475,plain,
% 0.43/0.62 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[427, 1474])).
% 0.43/0.62 tff(1476,plain,
% 0.43/0.62 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1475])).
% 0.43/0.62 tff(1477,assumption,(~(i4 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1478,assumption,(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1479,assumption,(~(i3 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1480,assumption,(~(i27 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1481,plain,
% 0.43/0.62 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[408, 1477])).
% 0.43/0.62 tff(1482,assumption,(i32 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.43/0.62 tff(1483,plain,
% 0.43/0.62 (sk(a_1449, a_1489) = i32),
% 0.43/0.62 inference(symmetry,[status(thm)],[1482])).
% 0.43/0.62 tff(1484,plain,
% 0.43/0.62 ((i6 = sk(a_1449, a_1489)) <=> (i6 = i32)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1483])).
% 0.43/0.62 tff(1485,plain,
% 0.43/0.62 ((i6 = i32) <=> (i6 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1484])).
% 0.43/0.62 tff(1486,plain,
% 0.43/0.62 ((~(i6 = i32)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1485])).
% 0.43/0.62 tff(1487,plain,
% 0.43/0.62 ((~(i6 = i32)) <=> (~(i6 = i32))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1488,axiom,(~(i6 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp652')).
% 0.43/0.62 tff(1489,plain,
% 0.43/0.62 (~(i6 = i32)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 0.43/0.62 tff(1490,plain,
% 0.43/0.62 (~(i6 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1489, 1486])).
% 0.43/0.62 tff(1491,plain,
% 0.43/0.62 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[530])).
% 0.43/0.62 tff(1492,plain,
% 0.43/0.62 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[896])).
% 0.43/0.62 tff(1493,plain,
% 0.43/0.62 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[898])).
% 0.43/0.62 tff(1494,plain,
% 0.43/0.62 (~(i33 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1069, 927, 898, 896, 530, 912, 910, 332, 80, 70, 14, 318])).
% 0.43/0.62 tff(1495,plain,
% 0.43/0.62 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[596, 1494])).
% 0.43/0.62 tff(1496,plain,
% 0.43/0.62 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1495])).
% 0.43/0.62 tff(1497,plain,
% 0.43/0.62 (select(store(store(a_1439, i31, e31), i32, e32), i32) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[172, 1482])).
% 0.43/0.62 tff(1498,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1439, i31, e31), i32, e32), i32) = e32)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1499,plain,
% 0.43/0.62 (select(store(store(a_1439, i31, e31), i32, e32), i32) = e32),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1498, 97])).
% 0.43/0.62 tff(1500,plain,
% 0.43/0.62 (e32 = select(store(store(a_1439, i31, e31), i32, e32), i32)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1499])).
% 0.43/0.62 tff(1501,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1455, i7, e7), i32, e32), i32) = e32)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1502,plain,
% 0.43/0.62 (select(store(store(a_1455, i7, e7), i32, e32), i32) = e32),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1501, 97])).
% 0.43/0.62 tff(1503,plain,
% 0.43/0.62 ((a_1456 = store(a_1455, i7, e7)) <=> (a_1456 = store(a_1455, i7, e7))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1504,axiom,(a_1456 = store(a_1455, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp46')).
% 0.43/0.62 tff(1505,plain,
% 0.43/0.62 (a_1456 = store(a_1455, i7, e7)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 0.43/0.62 tff(1506,plain,
% 0.43/0.62 (store(a_1455, i7, e7) = a_1456),
% 0.43/0.62 inference(symmetry,[status(thm)],[1505])).
% 0.43/0.62 tff(1507,plain,
% 0.43/0.62 (store(store(a_1455, i7, e7), i32, e32) = store(a_1456, i32, e32)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1506])).
% 0.43/0.62 tff(1508,plain,
% 0.43/0.62 (store(a_1456, i32, e32) = store(store(a_1455, i7, e7), i32, e32)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1507])).
% 0.43/0.62 tff(1509,plain,
% 0.43/0.62 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1455, i7, e7), i32, e32), i32)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1508, 1483])).
% 0.43/0.62 tff(1510,plain,
% 0.43/0.62 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = e_1491),
% 0.43/0.62 inference(transitivity,[status(thm)],[1509, 1502, 1500, 1497, 1496, 192, 928, 211, 1493, 230, 1492, 249, 1491, 268, 973, 287, 321, 307, 56, 50, 5])).
% 0.43/0.62 tff(1511,plain,
% 0.43/0.62 (~(i30 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 898, 896, 530, 972, 320, 55])).
% 0.43/0.62 tff(1512,plain,
% 0.43/0.62 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[389, 1511])).
% 0.43/0.62 tff(1513,plain,
% 0.43/0.62 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1512])).
% 0.43/0.62 tff(1514,assumption,(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))), introduced(assumption)).
% 0.43/0.62 tff(1515,plain,
% 0.43/0.62 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1514])).
% 0.43/0.62 tff(1516,plain,
% 0.43/0.62 ((i5 = i32) <=> (i5 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1482])).
% 0.43/0.62 tff(1517,plain,
% 0.43/0.62 ((~(i5 = i32)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1516])).
% 0.43/0.62 tff(1518,plain,
% 0.43/0.62 ((~(i5 = i32)) <=> (~(i5 = i32))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1519,axiom,(~(i5 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp686')).
% 0.43/0.62 tff(1520,plain,
% 0.43/0.62 (~(i5 = i32)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 0.43/0.62 tff(1521,plain,
% 0.43/0.62 (~(i5 = sk(a_1449, a_1489))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1520, 1517])).
% 0.43/0.62 tff(1522,plain,
% 0.43/0.62 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[427, 1521])).
% 0.43/0.63 tff(1523,plain,
% 0.43/0.63 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1522])).
% 0.43/0.63 tff(1524,plain,
% 0.43/0.63 ((i3 = sk(a_1449, a_1489)) <=> (i3 = i32)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.43/0.63 tff(1525,plain,
% 0.43/0.63 ((i3 = i32) <=> (i3 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1524])).
% 0.43/0.63 tff(1526,plain,
% 0.43/0.63 ((~(i3 = i32)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1525])).
% 0.43/0.63 tff(1527,plain,
% 0.43/0.63 ((~(i3 = i32)) <=> (~(i3 = i32))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1528,axiom,(~(i3 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp757')).
% 0.43/0.63 tff(1529,plain,
% 0.43/0.63 (~(i3 = i32)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 0.43/0.63 tff(1530,plain,
% 0.43/0.63 (~(i3 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1529, 1526])).
% 0.43/0.63 tff(1531,plain,
% 0.43/0.63 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[446, 1530])).
% 0.43/0.63 tff(1532,plain,
% 0.43/0.63 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1531])).
% 0.43/0.63 tff(1533,plain,
% 0.43/0.63 ((i9 = sk(a_1449, a_1489)) <=> (i9 = i32)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.43/0.63 tff(1534,plain,
% 0.43/0.63 ((i9 = i32) <=> (i9 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1533])).
% 0.43/0.63 tff(1535,plain,
% 0.43/0.63 ((~(i9 = i32)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1534])).
% 0.43/0.63 tff(1536,plain,
% 0.43/0.63 ((~(i9 = i32)) <=> (~(i9 = i32))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1537,axiom,(~(i9 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp556')).
% 0.43/0.63 tff(1538,plain,
% 0.43/0.63 (~(i9 = i32)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 0.43/0.63 tff(1539,plain,
% 0.43/0.63 (~(i9 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1538, 1535])).
% 0.43/0.63 tff(1540,plain,
% 0.43/0.63 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[465, 1539])).
% 0.43/0.63 tff(1541,plain,
% 0.43/0.63 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1540])).
% 0.43/0.63 tff(1542,plain,
% 0.43/0.63 ((i1 = sk(a_1449, a_1489)) <=> (i1 = i32)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.43/0.63 tff(1543,plain,
% 0.43/0.63 ((i1 = i32) <=> (i1 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1542])).
% 0.43/0.63 tff(1544,plain,
% 0.43/0.63 ((~(i1 = i32)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1543])).
% 0.43/0.63 tff(1545,plain,
% 0.43/0.63 ((~(i1 = i32)) <=> (~(i1 = i32))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1546,axiom,(~(i1 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp832')).
% 0.43/0.63 tff(1547,plain,
% 0.43/0.63 (~(i1 = i32)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 0.43/0.63 tff(1548,plain,
% 0.43/0.63 (~(i1 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1547, 1544])).
% 0.43/0.63 tff(1549,plain,
% 0.43/0.63 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[484, 1548])).
% 0.43/0.63 tff(1550,plain,
% 0.43/0.63 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1549])).
% 0.43/0.63 tff(1551,plain,
% 0.43/0.63 ((i2 = sk(a_1449, a_1489)) <=> (i2 = i32)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.43/0.63 tff(1552,plain,
% 0.43/0.63 ((i2 = i32) <=> (i2 = sk(a_1449, a_1489))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1551])).
% 0.43/0.63 tff(1553,plain,
% 0.43/0.63 ((~(i2 = i32)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1552])).
% 0.43/0.63 tff(1554,plain,
% 0.43/0.63 ((~(i2 = i32)) <=> (~(i2 = i32))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1555,axiom,(~(i2 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp794')).
% 0.48/0.63 tff(1556,plain,
% 0.48/0.63 (~(i2 = i32)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 0.48/0.63 tff(1557,plain,
% 0.48/0.63 (~(i2 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1556, 1553])).
% 0.48/0.63 tff(1558,plain,
% 0.48/0.63 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1067, 1557])).
% 0.48/0.63 tff(1559,plain,
% 0.48/0.63 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1558])).
% 0.48/0.63 tff(1560,plain,
% 0.48/0.63 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[984])).
% 0.48/0.63 tff(1561,plain,
% 0.48/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1449, a_1489)) | (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1449, a_1489)) | (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1562,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1449, a_1489)) | (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(quant_inst,[status(thm)],[])).
% 0.48/0.63 tff(1563,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1449, a_1489)) | (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 0.48/0.63 tff(1564,plain,
% 0.48/0.63 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1563, 33, 1494])).
% 0.48/0.63 tff(1565,plain,
% 0.48/0.63 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1564])).
% 0.48/0.63 tff(1566,plain,
% 0.48/0.63 ((a_1472 = store(a_1471, i22, e22)) <=> (a_1472 = store(a_1471, i22, e22))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1567,axiom,(a_1472 = store(a_1471, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp62')).
% 0.48/0.63 tff(1568,plain,
% 0.48/0.63 (a_1472 = store(a_1471, i22, e22)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 0.48/0.63 tff(1569,plain,
% 0.48/0.63 (store(a_1471, i22, e22) = a_1472),
% 0.48/0.63 inference(symmetry,[status(thm)],[1568])).
% 0.48/0.63 tff(1570,plain,
% 0.48/0.63 (store(store(a_1471, i22, e22), i8, e8) = store(a_1472, i8, e8)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1569])).
% 0.48/0.63 tff(1571,plain,
% 0.48/0.63 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1570])).
% 0.48/0.63 tff(1572,plain,
% 0.48/0.63 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i32)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.63 tff(1573,plain,
% 0.48/0.63 ((i8 = i32) <=> (i8 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1572])).
% 0.48/0.63 tff(1574,plain,
% 0.48/0.63 ((~(i8 = i32)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1573])).
% 0.48/0.63 tff(1575,plain,
% 0.48/0.63 ((~(i8 = i32)) <=> (~(i8 = i32))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1576,axiom,(~(i8 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp587')).
% 0.48/0.63 tff(1577,plain,
% 0.48/0.63 (~(i8 = i32)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 0.48/0.63 tff(1578,plain,
% 0.48/0.63 (~(i8 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1577, 1574])).
% 0.48/0.63 tff(1579,plain,
% 0.48/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1449, a_1489)) | (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1580,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(quant_inst,[status(thm)],[])).
% 0.48/0.63 tff(1581,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1449, a_1489)) | (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 0.48/0.63 tff(1582,plain,
% 0.48/0.63 ((i8 = sk(a_1449, a_1489)) | (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1581, 33])).
% 0.48/0.63 tff(1583,plain,
% 0.48/0.63 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1582, 1578])).
% 0.48/0.63 tff(1584,plain,
% 0.48/0.63 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1583])).
% 0.48/0.63 tff(1585,plain,
% 0.48/0.63 ((a_1471 = store(a_1470, i10, e10)) <=> (a_1471 = store(a_1470, i10, e10))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1586,axiom,(a_1471 = store(a_1470, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp61')).
% 0.48/0.63 tff(1587,plain,
% 0.48/0.63 (a_1471 = store(a_1470, i10, e10)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1586, 1585])).
% 0.48/0.63 tff(1588,plain,
% 0.48/0.63 (store(a_1470, i10, e10) = a_1471),
% 0.48/0.63 inference(symmetry,[status(thm)],[1587])).
% 0.48/0.63 tff(1589,plain,
% 0.48/0.63 (store(store(a_1470, i10, e10), i22, e22) = store(a_1471, i22, e22)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1588])).
% 0.48/0.63 tff(1590,plain,
% 0.48/0.63 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1589])).
% 0.48/0.63 tff(1591,plain,
% 0.48/0.63 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i32)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.63 tff(1592,plain,
% 0.48/0.63 ((i22 = i32) <=> (i22 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1591])).
% 0.48/0.63 tff(1593,plain,
% 0.48/0.63 ((~(i22 = i32)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1592])).
% 0.48/0.63 tff(1594,plain,
% 0.48/0.63 ((~(i22 = i32)) <=> (~(i22 = i32))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1595,axiom,(~(i22 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp244')).
% 0.48/0.63 tff(1596,plain,
% 0.48/0.63 (~(i22 = i32)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 0.48/0.63 tff(1597,plain,
% 0.48/0.63 (~(i22 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1596, 1593])).
% 0.48/0.63 tff(1598,plain,
% 0.48/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1449, a_1489)) | (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1599,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(quant_inst,[status(thm)],[])).
% 0.48/0.63 tff(1600,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1449, a_1489)) | (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 0.48/0.63 tff(1601,plain,
% 0.48/0.63 ((i22 = sk(a_1449, a_1489)) | (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1600, 33])).
% 0.48/0.63 tff(1602,plain,
% 0.48/0.63 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1601, 1597])).
% 0.48/0.63 tff(1603,plain,
% 0.48/0.63 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1602])).
% 0.48/0.63 tff(1604,plain,
% 0.48/0.63 ((a_1470 = store(a_1469, i27, e27)) <=> (a_1470 = store(a_1469, i27, e27))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1605,axiom,(a_1470 = store(a_1469, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp60')).
% 0.48/0.63 tff(1606,plain,
% 0.48/0.63 (a_1470 = store(a_1469, i27, e27)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 0.48/0.63 tff(1607,plain,
% 0.48/0.63 (store(a_1469, i27, e27) = a_1470),
% 0.48/0.63 inference(symmetry,[status(thm)],[1606])).
% 0.48/0.63 tff(1608,plain,
% 0.48/0.63 (store(store(a_1469, i27, e27), i10, e10) = store(a_1470, i10, e10)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1607])).
% 0.48/0.63 tff(1609,plain,
% 0.48/0.63 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1608])).
% 0.48/0.63 tff(1610,plain,
% 0.48/0.63 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i32)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.63 tff(1611,plain,
% 0.48/0.63 ((i10 = i32) <=> (i10 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(symmetry,[status(thm)],[1610])).
% 0.48/0.63 tff(1612,plain,
% 0.48/0.63 ((~(i10 = i32)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[1611])).
% 0.48/0.63 tff(1613,plain,
% 0.48/0.63 ((~(i10 = i32)) <=> (~(i10 = i32))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1614,axiom,(~(i10 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp526')).
% 0.48/0.63 tff(1615,plain,
% 0.48/0.63 (~(i10 = i32)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 0.48/0.63 tff(1616,plain,
% 0.48/0.63 (~(i10 = sk(a_1449, a_1489))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1615, 1612])).
% 0.48/0.63 tff(1617,plain,
% 0.48/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1449, a_1489)) | (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(1618,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))))),
% 0.48/0.63 inference(quant_inst,[status(thm)],[])).
% 0.48/0.63 tff(1619,plain,
% 0.48/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1449, a_1489)) | (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 0.48/0.63 tff(1620,plain,
% 0.48/0.63 ((i10 = sk(a_1449, a_1489)) | (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1619, 33])).
% 0.48/0.63 tff(1621,plain,
% 0.48/0.63 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1620, 1616])).
% 0.48/0.64 tff(1622,plain,
% 0.48/0.64 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1621])).
% 0.48/0.64 tff(1623,plain,
% 0.48/0.64 ((a_1469 = store(a_1468, i21, e21)) <=> (a_1469 = store(a_1468, i21, e21))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1624,axiom,(a_1469 = store(a_1468, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp59')).
% 0.48/0.64 tff(1625,plain,
% 0.48/0.64 (a_1469 = store(a_1468, i21, e21)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 0.48/0.64 tff(1626,plain,
% 0.48/0.64 (store(a_1468, i21, e21) = a_1469),
% 0.48/0.64 inference(symmetry,[status(thm)],[1625])).
% 0.48/0.64 tff(1627,plain,
% 0.48/0.64 (store(store(a_1468, i21, e21), i27, e27) = store(a_1469, i27, e27)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1626])).
% 0.48/0.64 tff(1628,plain,
% 0.48/0.64 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1627])).
% 0.48/0.64 tff(1629,plain,
% 0.48/0.64 ((i27 = sk(a_1449, a_1489)) <=> (i27 = i32)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.64 tff(1630,plain,
% 0.48/0.64 ((i27 = i32) <=> (i27 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1629])).
% 0.48/0.64 tff(1631,plain,
% 0.48/0.64 ((~(i27 = i32)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1630])).
% 0.48/0.64 tff(1632,plain,
% 0.48/0.64 ((~(i27 = i32)) <=> (~(i27 = i32))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1633,axiom,(~(i27 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp169')).
% 0.48/0.64 tff(1634,plain,
% 0.48/0.64 (~(i27 = i32)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 0.48/0.64 tff(1635,plain,
% 0.48/0.64 (~(i27 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1634, 1631])).
% 0.48/0.64 tff(1636,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1449, a_1489)) | (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1637,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1638,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1449, a_1489)) | (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 0.48/0.64 tff(1639,plain,
% 0.48/0.64 ((i27 = sk(a_1449, a_1489)) | (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1638, 33])).
% 0.48/0.64 tff(1640,plain,
% 0.48/0.64 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1639, 1635])).
% 0.48/0.64 tff(1641,plain,
% 0.48/0.64 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1640])).
% 0.48/0.64 tff(1642,plain,
% 0.48/0.64 ((a_1468 = store(a_1467, i26, e26)) <=> (a_1468 = store(a_1467, i26, e26))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1643,axiom,(a_1468 = store(a_1467, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp58')).
% 0.48/0.64 tff(1644,plain,
% 0.48/0.64 (a_1468 = store(a_1467, i26, e26)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 0.48/0.64 tff(1645,plain,
% 0.48/0.64 (store(a_1467, i26, e26) = a_1468),
% 0.48/0.64 inference(symmetry,[status(thm)],[1644])).
% 0.48/0.64 tff(1646,plain,
% 0.48/0.64 (store(store(a_1467, i26, e26), i21, e21) = store(a_1468, i21, e21)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1645])).
% 0.48/0.64 tff(1647,plain,
% 0.48/0.64 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1646])).
% 0.48/0.64 tff(1648,plain,
% 0.48/0.64 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i32)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.64 tff(1649,plain,
% 0.48/0.64 ((i21 = i32) <=> (i21 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1648])).
% 0.48/0.64 tff(1650,plain,
% 0.48/0.64 ((~(i21 = i32)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1649])).
% 0.48/0.64 tff(1651,plain,
% 0.48/0.64 ((~(i21 = i32)) <=> (~(i21 = i32))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1652,axiom,(~(i21 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp262')).
% 0.48/0.64 tff(1653,plain,
% 0.48/0.64 (~(i21 = i32)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 0.48/0.64 tff(1654,plain,
% 0.48/0.64 (~(i21 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1653, 1650])).
% 0.48/0.64 tff(1655,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1449, a_1489)) | (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1656,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1657,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1449, a_1489)) | (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 0.48/0.64 tff(1658,plain,
% 0.48/0.64 ((i21 = sk(a_1449, a_1489)) | (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1657, 33])).
% 0.48/0.64 tff(1659,plain,
% 0.48/0.64 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1658, 1654])).
% 0.48/0.64 tff(1660,plain,
% 0.48/0.64 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1659])).
% 0.48/0.64 tff(1661,plain,
% 0.48/0.64 ((a_1467 = store(a_1466, i23, e23)) <=> (a_1467 = store(a_1466, i23, e23))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1662,axiom,(a_1467 = store(a_1466, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp57')).
% 0.48/0.64 tff(1663,plain,
% 0.48/0.64 (a_1467 = store(a_1466, i23, e23)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 0.48/0.64 tff(1664,plain,
% 0.48/0.64 (store(a_1466, i23, e23) = a_1467),
% 0.48/0.64 inference(symmetry,[status(thm)],[1663])).
% 0.48/0.64 tff(1665,plain,
% 0.48/0.64 (store(store(a_1466, i23, e23), i26, e26) = store(a_1467, i26, e26)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1664])).
% 0.48/0.64 tff(1666,plain,
% 0.48/0.64 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1665])).
% 0.48/0.64 tff(1667,plain,
% 0.48/0.64 ((i26 = sk(a_1449, a_1489)) <=> (i26 = i32)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.64 tff(1668,plain,
% 0.48/0.64 ((i26 = i32) <=> (i26 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1667])).
% 0.48/0.64 tff(1669,plain,
% 0.48/0.64 ((~(i26 = i32)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1668])).
% 0.48/0.64 tff(1670,plain,
% 0.48/0.64 ((~(i26 = i32)) <=> (~(i26 = i32))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1671,axiom,(~(i26 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp182')).
% 0.48/0.64 tff(1672,plain,
% 0.48/0.64 (~(i26 = i32)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 0.48/0.64 tff(1673,plain,
% 0.48/0.64 (~(i26 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1672, 1669])).
% 0.48/0.64 tff(1674,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1449, a_1489)) | (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1675,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1676,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1449, a_1489)) | (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 0.48/0.64 tff(1677,plain,
% 0.48/0.64 ((i26 = sk(a_1449, a_1489)) | (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1676, 33])).
% 0.48/0.64 tff(1678,plain,
% 0.48/0.64 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1677, 1673])).
% 0.48/0.64 tff(1679,plain,
% 0.48/0.64 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1678])).
% 0.48/0.64 tff(1680,plain,
% 0.48/0.64 ((a_1466 = store(a_1465, i35, e35)) <=> (a_1466 = store(a_1465, i35, e35))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1681,axiom,(a_1466 = store(a_1465, i35, e35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp56')).
% 0.48/0.64 tff(1682,plain,
% 0.48/0.64 (a_1466 = store(a_1465, i35, e35)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 0.48/0.64 tff(1683,plain,
% 0.48/0.64 (store(a_1465, i35, e35) = a_1466),
% 0.48/0.64 inference(symmetry,[status(thm)],[1682])).
% 0.48/0.64 tff(1684,plain,
% 0.48/0.64 (store(store(a_1465, i35, e35), i23, e23) = store(a_1466, i23, e23)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1683])).
% 0.48/0.64 tff(1685,plain,
% 0.48/0.64 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1684])).
% 0.48/0.64 tff(1686,plain,
% 0.48/0.64 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i32)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1483])).
% 0.48/0.64 tff(1687,plain,
% 0.48/0.64 ((i23 = i32) <=> (i23 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1686])).
% 0.48/0.64 tff(1688,plain,
% 0.48/0.64 ((~(i23 = i32)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1687])).
% 0.48/0.64 tff(1689,plain,
% 0.48/0.64 ((~(i23 = i32)) <=> (~(i23 = i32))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1690,axiom,(~(i23 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp227')).
% 0.48/0.64 tff(1691,plain,
% 0.48/0.64 (~(i23 = i32)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 0.48/0.64 tff(1692,plain,
% 0.48/0.64 (~(i23 = sk(a_1449, a_1489))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1691, 1688])).
% 0.48/0.64 tff(1693,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1449, a_1489)) | (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1694,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1695,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1449, a_1489)) | (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 0.48/0.64 tff(1696,plain,
% 0.48/0.64 ((i23 = sk(a_1449, a_1489)) | (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1695, 33])).
% 0.48/0.64 tff(1697,plain,
% 0.48/0.64 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1696, 1692])).
% 0.48/0.64 tff(1698,plain,
% 0.48/0.64 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1697])).
% 0.48/0.64 tff(1699,plain,
% 0.48/0.64 ((a_1465 = store(a_1464, i20, e20)) <=> (a_1465 = store(a_1464, i20, e20))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1700,axiom,(a_1465 = store(a_1464, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp55')).
% 0.48/0.64 tff(1701,plain,
% 0.48/0.64 (a_1465 = store(a_1464, i20, e20)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 0.48/0.64 tff(1702,plain,
% 0.48/0.64 (store(a_1464, i20, e20) = a_1465),
% 0.48/0.64 inference(symmetry,[status(thm)],[1701])).
% 0.48/0.64 tff(1703,plain,
% 0.48/0.64 (store(store(a_1464, i20, e20), i35, e35) = store(a_1465, i35, e35)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1702])).
% 0.48/0.64 tff(1704,plain,
% 0.48/0.64 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1703])).
% 0.48/0.64 tff(1705,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1449, a_1489)) | (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1449, a_1489)) | (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1706,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1449, a_1489)) | (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1707,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1449, a_1489)) | (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 0.48/0.64 tff(1708,plain,
% 0.48/0.64 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1707, 33, 897])).
% 0.48/0.64 tff(1709,plain,
% 0.48/0.64 (select(store(a_1464, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489))),
% 0.50/0.64 inference(symmetry,[status(thm)],[1708])).
% 0.50/0.64 tff(1710,plain,
% 0.50/0.64 ((a_1464 = store(a_1463, i36, e36)) <=> (a_1464 = store(a_1463, i36, e36))),
% 0.50/0.64 inference(rewrite,[status(thm)],[])).
% 0.50/0.64 tff(1711,axiom,(a_1464 = store(a_1463, i36, e36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp54')).
% 0.50/0.64 tff(1712,plain,
% 0.50/0.64 (a_1464 = store(a_1463, i36, e36)),
% 0.50/0.64 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 0.50/0.64 tff(1713,plain,
% 0.50/0.64 (store(a_1463, i36, e36) = a_1464),
% 0.50/0.64 inference(symmetry,[status(thm)],[1712])).
% 0.50/0.64 tff(1714,plain,
% 0.50/0.64 (store(store(a_1463, i36, e36), i20, e20) = store(a_1464, i20, e20)),
% 0.50/0.64 inference(monotonicity,[status(thm)],[1713])).
% 0.50/0.64 tff(1715,plain,
% 0.50/0.64 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.50/0.64 inference(monotonicity,[status(thm)],[1714])).
% 0.50/0.64 tff(1716,plain,
% 0.50/0.64 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i32)),
% 0.50/0.64 inference(monotonicity,[status(thm)],[1483])).
% 0.50/0.64 tff(1717,plain,
% 0.50/0.64 ((i20 = i32) <=> (i20 = sk(a_1449, a_1489))),
% 0.50/0.64 inference(symmetry,[status(thm)],[1716])).
% 0.50/0.64 tff(1718,plain,
% 0.50/0.64 ((~(i20 = i32)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.50/0.64 inference(monotonicity,[status(thm)],[1717])).
% 0.50/0.64 tff(1719,plain,
% 0.50/0.64 ((~(i20 = i32)) <=> (~(i20 = i32))),
% 0.50/0.64 inference(rewrite,[status(thm)],[])).
% 0.50/0.64 tff(1720,axiom,(~(i20 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp281')).
% 0.50/0.64 tff(1721,plain,
% 0.50/0.64 (~(i20 = i32)),
% 0.50/0.64 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 0.50/0.64 tff(1722,plain,
% 0.50/0.64 (~(i20 = sk(a_1449, a_1489))),
% 0.50/0.64 inference(modus_ponens,[status(thm)],[1721, 1718])).
% 0.50/0.64 tff(1723,plain,
% 0.50/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1449, a_1489)) | (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))))),
% 0.50/0.64 inference(rewrite,[status(thm)],[])).
% 0.50/0.64 tff(1724,plain,
% 0.50/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))))),
% 0.50/0.64 inference(quant_inst,[status(thm)],[])).
% 0.50/0.64 tff(1725,plain,
% 0.50/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1449, a_1489)) | (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489)))),
% 0.50/0.64 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 0.50/0.64 tff(1726,plain,
% 0.50/0.64 ((i20 = sk(a_1449, a_1489)) | (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489)))),
% 0.50/0.64 inference(unit_resolution,[status(thm)],[1725, 33])).
% 0.50/0.64 tff(1727,plain,
% 0.50/0.64 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.50/0.64 inference(unit_resolution,[status(thm)],[1726, 1722])).
% 0.50/0.64 tff(1728,plain,
% 0.50/0.64 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.50/0.64 inference(symmetry,[status(thm)],[1727])).
% 0.50/0.64 tff(1729,plain,
% 0.50/0.64 ((a_1463 = store(a_1462, i12, e12)) <=> (a_1463 = store(a_1462, i12, e12))),
% 0.50/0.64 inference(rewrite,[status(thm)],[])).
% 0.50/0.64 tff(1730,axiom,(a_1463 = store(a_1462, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp53')).
% 0.50/0.64 tff(1731,plain,
% 0.50/0.64 (a_1463 = store(a_1462, i12, e12)),
% 0.50/0.64 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 0.50/0.64 tff(1732,plain,
% 0.50/0.64 (store(a_1462, i12, e12) = a_1463),
% 0.50/0.64 inference(symmetry,[status(thm)],[1731])).
% 0.50/0.64 tff(1733,plain,
% 0.50/0.64 (store(store(a_1462, i12, e12), i36, e36) = store(a_1463, i36, e36)),
% 0.50/0.64 inference(monotonicity,[status(thm)],[1732])).
% 0.50/0.64 tff(1734,plain,
% 0.50/0.65 (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1733])).
% 0.50/0.65 tff(1735,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1449, a_1489)) | (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1449, a_1489)) | (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1736,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1449, a_1489)) | (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(1737,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1449, a_1489)) | (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 0.50/0.65 tff(1738,plain,
% 0.50/0.65 (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1737, 33, 884])).
% 0.50/0.65 tff(1739,plain,
% 0.50/0.65 (select(store(a_1462, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1738])).
% 0.50/0.65 tff(1740,plain,
% 0.50/0.65 ((a_1462 = store(a_1461, i13, e13)) <=> (a_1462 = store(a_1461, i13, e13))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1741,axiom,(a_1462 = store(a_1461, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp52')).
% 0.50/0.65 tff(1742,plain,
% 0.50/0.65 (a_1462 = store(a_1461, i13, e13)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 0.50/0.65 tff(1743,plain,
% 0.50/0.65 (store(a_1461, i13, e13) = a_1462),
% 0.50/0.65 inference(symmetry,[status(thm)],[1742])).
% 0.50/0.65 tff(1744,plain,
% 0.50/0.65 (store(store(a_1461, i13, e13), i12, e12) = store(a_1462, i12, e12)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1743])).
% 0.50/0.65 tff(1745,plain,
% 0.50/0.65 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1744])).
% 0.50/0.65 tff(1746,plain,
% 0.50/0.65 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i32)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1483])).
% 0.50/0.65 tff(1747,plain,
% 0.50/0.65 ((i12 = i32) <=> (i12 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1746])).
% 0.50/0.65 tff(1748,plain,
% 0.50/0.65 ((~(i12 = i32)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1747])).
% 0.50/0.65 tff(1749,plain,
% 0.50/0.65 ((~(i12 = i32)) <=> (~(i12 = i32))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1750,axiom,(~(i12 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp469')).
% 0.50/0.65 tff(1751,plain,
% 0.50/0.65 (~(i12 = i32)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 0.50/0.65 tff(1752,plain,
% 0.50/0.65 (~(i12 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1751, 1748])).
% 0.50/0.65 tff(1753,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1449, a_1489)) | (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1754,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(1755,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1449, a_1489)) | (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 0.50/0.65 tff(1756,plain,
% 0.50/0.65 ((i12 = sk(a_1449, a_1489)) | (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1755, 33])).
% 0.50/0.65 tff(1757,plain,
% 0.50/0.65 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1756, 1752])).
% 0.50/0.65 tff(1758,plain,
% 0.50/0.65 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1757])).
% 0.50/0.65 tff(1759,plain,
% 0.50/0.65 ((a_1461 = store(a_1460, i31, e31)) <=> (a_1461 = store(a_1460, i31, e31))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1760,axiom,(a_1461 = store(a_1460, i31, e31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp51')).
% 0.50/0.65 tff(1761,plain,
% 0.50/0.65 (a_1461 = store(a_1460, i31, e31)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 0.50/0.65 tff(1762,plain,
% 0.50/0.65 (store(a_1460, i31, e31) = a_1461),
% 0.50/0.65 inference(symmetry,[status(thm)],[1761])).
% 0.50/0.65 tff(1763,plain,
% 0.50/0.65 (store(store(a_1460, i31, e31), i13, e13) = store(a_1461, i13, e13)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1762])).
% 0.50/0.65 tff(1764,plain,
% 0.50/0.65 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1763])).
% 0.50/0.65 tff(1765,plain,
% 0.50/0.65 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i32)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1483])).
% 0.50/0.65 tff(1766,plain,
% 0.50/0.65 ((i13 = i32) <=> (i13 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1765])).
% 0.50/0.65 tff(1767,plain,
% 0.50/0.65 ((~(i13 = i32)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1766])).
% 0.50/0.65 tff(1768,plain,
% 0.50/0.65 ((~(i13 = i32)) <=> (~(i13 = i32))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1769,axiom,(~(i13 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp442')).
% 0.50/0.65 tff(1770,plain,
% 0.50/0.65 (~(i13 = i32)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 0.50/0.65 tff(1771,plain,
% 0.50/0.65 (~(i13 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1770, 1767])).
% 0.50/0.65 tff(1772,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1449, a_1489)) | (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1773,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(1774,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1449, a_1489)) | (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 0.50/0.65 tff(1775,plain,
% 0.50/0.65 ((i13 = sk(a_1449, a_1489)) | (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1774, 33])).
% 0.50/0.65 tff(1776,plain,
% 0.50/0.65 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1775, 1771])).
% 0.50/0.65 tff(1777,plain,
% 0.50/0.65 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1776])).
% 0.50/0.65 tff(1778,plain,
% 0.50/0.65 ((a_1460 = store(a_1459, i37, e37)) <=> (a_1460 = store(a_1459, i37, e37))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1779,axiom,(a_1460 = store(a_1459, i37, e37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp50')).
% 0.50/0.65 tff(1780,plain,
% 0.50/0.65 (a_1460 = store(a_1459, i37, e37)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 0.50/0.65 tff(1781,plain,
% 0.50/0.65 (store(a_1459, i37, e37) = a_1460),
% 0.50/0.65 inference(symmetry,[status(thm)],[1780])).
% 0.50/0.65 tff(1782,plain,
% 0.50/0.65 (store(store(a_1459, i37, e37), i31, e31) = store(a_1460, i31, e31)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1781])).
% 0.50/0.65 tff(1783,plain,
% 0.50/0.65 (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1782])).
% 0.50/0.65 tff(1784,plain,
% 0.50/0.65 ((i31 = sk(a_1449, a_1489)) <=> (i31 = i32)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1483])).
% 0.50/0.65 tff(1785,plain,
% 0.50/0.65 ((i31 = i32) <=> (i31 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1784])).
% 0.50/0.65 tff(1786,plain,
% 0.50/0.65 ((~(i31 = i32)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1785])).
% 0.50/0.65 tff(1787,plain,
% 0.50/0.65 ((~(i31 = i32)) <=> (~(i31 = i32))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1788,axiom,(~(i31 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp127')).
% 0.50/0.65 tff(1789,plain,
% 0.50/0.65 (~(i31 = i32)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 0.50/0.65 tff(1790,plain,
% 0.50/0.65 (~(i31 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1789, 1786])).
% 0.50/0.65 tff(1791,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1449, a_1489)) | (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1792,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(1793,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1449, a_1489)) | (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 0.50/0.65 tff(1794,plain,
% 0.50/0.65 ((i31 = sk(a_1449, a_1489)) | (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1793, 33])).
% 0.50/0.65 tff(1795,plain,
% 0.50/0.65 (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1794, 1790])).
% 0.50/0.65 tff(1796,plain,
% 0.50/0.65 (select(store(a_1459, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1795])).
% 0.50/0.65 tff(1797,plain,
% 0.50/0.65 ((a_1459 = store(a_1458, i18, e18)) <=> (a_1459 = store(a_1458, i18, e18))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1798,axiom,(a_1459 = store(a_1458, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp49')).
% 0.50/0.65 tff(1799,plain,
% 0.50/0.65 (a_1459 = store(a_1458, i18, e18)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 0.50/0.65 tff(1800,plain,
% 0.50/0.65 (store(a_1458, i18, e18) = a_1459),
% 0.50/0.65 inference(symmetry,[status(thm)],[1799])).
% 0.50/0.65 tff(1801,plain,
% 0.50/0.65 (store(store(a_1458, i18, e18), i37, e37) = store(a_1459, i37, e37)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1800])).
% 0.50/0.65 tff(1802,plain,
% 0.50/0.65 (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1801])).
% 0.50/0.65 tff(1803,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1449, a_1489)) | (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1449, a_1489)) | (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1804,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1449, a_1489)) | (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))))),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(1805,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1449, a_1489)) | (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489)))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1804, 1803])).
% 0.50/0.65 tff(1806,plain,
% 0.50/0.65 (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1805, 33, 528])).
% 0.50/0.65 tff(1807,plain,
% 0.50/0.65 (select(store(a_1458, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1806])).
% 0.50/0.65 tff(1808,plain,
% 0.50/0.65 ((a_1458 = store(a_1457, i6, e6)) <=> (a_1458 = store(a_1457, i6, e6))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1809,axiom,(a_1458 = store(a_1457, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp48')).
% 0.50/0.65 tff(1810,plain,
% 0.50/0.65 (a_1458 = store(a_1457, i6, e6)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 0.50/0.65 tff(1811,plain,
% 0.50/0.65 (store(a_1457, i6, e6) = a_1458),
% 0.50/0.65 inference(symmetry,[status(thm)],[1810])).
% 0.50/0.65 tff(1812,plain,
% 0.50/0.65 (store(store(a_1457, i6, e6), i18, e18) = store(a_1458, i18, e18)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1811])).
% 0.50/0.65 tff(1813,plain,
% 0.50/0.65 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1812])).
% 0.50/0.65 tff(1814,plain,
% 0.50/0.65 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i32)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1483])).
% 0.50/0.65 tff(1815,plain,
% 0.50/0.65 ((i18 = i32) <=> (i18 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(symmetry,[status(thm)],[1814])).
% 0.50/0.65 tff(1816,plain,
% 0.50/0.65 ((~(i18 = i32)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1815])).
% 0.50/0.65 tff(1817,plain,
% 0.50/0.65 ((~(i18 = i32)) <=> (~(i18 = i32))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(1818,axiom,(~(i18 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp322')).
% 0.50/0.65 tff(1819,plain,
% 0.50/0.65 (~(i18 = i32)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 0.50/0.65 tff(1820,plain,
% 0.50/0.65 (~(i18 = sk(a_1449, a_1489))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[1819, 1816])).
% 0.50/0.65 tff(1821,plain,
% 0.50/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1449, a_1489)) | (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1822,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))))),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(1823,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1449, a_1489)) | (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 0.50/0.66 tff(1824,plain,
% 0.50/0.66 ((i18 = sk(a_1449, a_1489)) | (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1823, 33])).
% 0.50/0.66 tff(1825,plain,
% 0.50/0.66 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1824, 1820])).
% 0.50/0.66 tff(1826,plain,
% 0.50/0.66 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1825])).
% 0.50/0.66 tff(1827,plain,
% 0.50/0.66 ((a_1457 = store(a_1456, i32, e32)) <=> (a_1457 = store(a_1456, i32, e32))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1828,axiom,(a_1457 = store(a_1456, i32, e32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp47')).
% 0.50/0.66 tff(1829,plain,
% 0.50/0.66 (a_1457 = store(a_1456, i32, e32)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 0.50/0.66 tff(1830,plain,
% 0.50/0.66 (store(a_1456, i32, e32) = a_1457),
% 0.50/0.66 inference(symmetry,[status(thm)],[1829])).
% 0.50/0.66 tff(1831,plain,
% 0.50/0.66 (store(store(a_1456, i32, e32), i6, e6) = store(a_1457, i6, e6)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1830])).
% 0.50/0.66 tff(1832,plain,
% 0.50/0.66 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1831])).
% 0.50/0.66 tff(1833,plain,
% 0.50/0.66 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = e_1492),
% 0.50/0.66 inference(transitivity,[status(thm)],[1832, 1826, 1813, 1807, 1802, 1796, 1783, 1777, 1764, 1758, 1745, 1739, 1734, 1728, 1715, 1709, 1704, 1698, 1685, 1679, 1666, 1660, 1647, 1641, 1628, 1622, 1609, 1603, 1590, 1584, 1571, 1565, 1560, 1559, 1057, 1051, 1046, 1040, 1035, 497, 492, 1550, 473, 1541, 454, 1532, 435, 1523, 416, 1515, 397, 1513, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.50/0.66 tff(1834,plain,
% 0.50/0.66 ((select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1833, 1510])).
% 0.50/0.66 tff(1835,plain,
% 0.50/0.66 ((select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.50/0.66 inference(transitivity,[status(thm)],[1834, 1])).
% 0.50/0.66 tff(1836,plain,
% 0.50/0.66 ((e_1491 = e_1492) <=> (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1835])).
% 0.50/0.66 tff(1837,plain,
% 0.50/0.66 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1836])).
% 0.50/0.66 tff(1838,plain,
% 0.50/0.66 (~(select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[314, 1837])).
% 0.50/0.66 tff(1839,plain,
% 0.50/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1449, a_1489)) | (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1840,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))))),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(1841,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1449, a_1489)) | (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 0.50/0.66 tff(1842,plain,
% 0.50/0.66 ((i6 = sk(a_1449, a_1489)) | (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489)))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1841, 33])).
% 0.50/0.66 tff(1843,plain,
% 0.50/0.66 ($false),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1842, 1838, 1490])).
% 0.50/0.66 tff(1844,plain,((~(i32 = sk(a_1449, a_1489))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i37 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.66 tff(1845,plain,
% 0.50/0.66 (~(i32 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1844, 927, 1481, 1084, 910, 332, 80, 38, 528, 884, 897, 14, 318])).
% 0.50/0.66 tff(1846,plain,
% 0.50/0.66 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[608, 1845])).
% 0.50/0.66 tff(1847,assumption,(i31 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.50/0.66 tff(1848,plain,
% 0.50/0.66 (sk(a_1449, a_1489) = i31),
% 0.50/0.66 inference(symmetry,[status(thm)],[1847])).
% 0.50/0.66 tff(1849,plain,
% 0.50/0.66 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1850,plain,
% 0.50/0.66 ((i13 = i31) <=> (i13 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1849])).
% 0.50/0.66 tff(1851,plain,
% 0.50/0.66 ((~(i13 = i31)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1850])).
% 0.50/0.66 tff(1852,plain,
% 0.50/0.66 ((~(i13 = i31)) <=> (~(i13 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1853,axiom,(~(i13 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp443')).
% 0.50/0.66 tff(1854,plain,
% 0.50/0.66 (~(i13 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 0.50/0.66 tff(1855,plain,
% 0.50/0.66 (~(i13 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1854, 1851])).
% 0.50/0.66 tff(1856,plain,
% 0.50/0.66 (~(i33 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1069, 927, 898, 896, 561, 912, 910, 332, 80, 70, 14, 318])).
% 0.50/0.66 tff(1857,plain,
% 0.50/0.66 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[596, 1856])).
% 0.50/0.66 tff(1858,plain,
% 0.50/0.66 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1857])).
% 0.50/0.66 tff(1859,assumption,(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.66 tff(1860,plain,
% 0.50/0.66 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1859])).
% 0.50/0.66 tff(1861,plain,
% 0.50/0.66 (select(store(store(a_1438, i30, e30), i31, e31), i31) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[153, 1847])).
% 0.50/0.66 tff(1862,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1438, i30, e30), i31, e31), i31) = e31)),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(1863,plain,
% 0.50/0.66 (select(store(store(a_1438, i30, e30), i31, e31), i31) = e31),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1862, 97])).
% 0.50/0.66 tff(1864,plain,
% 0.50/0.66 (e31 = select(store(store(a_1438, i30, e30), i31, e31), i31)),
% 0.50/0.66 inference(symmetry,[status(thm)],[1863])).
% 0.50/0.66 tff(1865,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1459, i37, e37), i31, e31), i31) = e31)),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(1866,plain,
% 0.50/0.66 (select(store(store(a_1459, i37, e37), i31, e31), i31) = e31),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1865, 97])).
% 0.50/0.66 tff(1867,plain,
% 0.50/0.66 (store(a_1460, i31, e31) = store(store(a_1459, i37, e37), i31, e31)),
% 0.50/0.66 inference(symmetry,[status(thm)],[1782])).
% 0.50/0.66 tff(1868,plain,
% 0.50/0.66 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1459, i37, e37), i31, e31), i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1867, 1848])).
% 0.50/0.66 tff(1869,plain,
% 0.50/0.66 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = e_1491),
% 0.50/0.66 inference(transitivity,[status(thm)],[1868, 1866, 1864, 1861, 1860, 173, 1858, 192, 928, 211, 1493, 230, 1492, 249, 562, 268, 973, 287, 321, 307, 56, 50, 5])).
% 0.50/0.66 tff(1870,plain,
% 0.50/0.66 (~(i30 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 898, 896, 561, 972, 320, 55])).
% 0.50/0.66 tff(1871,plain,
% 0.50/0.66 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[389, 1870])).
% 0.50/0.66 tff(1872,plain,
% 0.50/0.66 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1871])).
% 0.50/0.66 tff(1873,assumption,(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.66 tff(1874,plain,
% 0.50/0.66 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1873])).
% 0.50/0.66 tff(1875,plain,
% 0.50/0.66 ((i3 = i31) <=> (i3 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1847])).
% 0.50/0.66 tff(1876,plain,
% 0.50/0.66 ((~(i3 = i31)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1875])).
% 0.50/0.66 tff(1877,plain,
% 0.50/0.66 ((~(i3 = i31)) <=> (~(i3 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1878,axiom,(~(i3 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp758')).
% 0.50/0.66 tff(1879,plain,
% 0.50/0.66 (~(i3 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 0.50/0.66 tff(1880,plain,
% 0.50/0.66 (~(i3 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1879, 1876])).
% 0.50/0.66 tff(1881,plain,
% 0.50/0.66 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[446, 1880])).
% 0.50/0.66 tff(1882,plain,
% 0.50/0.66 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1881])).
% 0.50/0.66 tff(1883,plain,
% 0.50/0.66 ((i9 = sk(a_1449, a_1489)) <=> (i9 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1884,plain,
% 0.50/0.66 ((i9 = i31) <=> (i9 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1883])).
% 0.50/0.66 tff(1885,plain,
% 0.50/0.66 ((~(i9 = i31)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1884])).
% 0.50/0.66 tff(1886,plain,
% 0.50/0.66 ((~(i9 = i31)) <=> (~(i9 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1887,axiom,(~(i9 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp557')).
% 0.50/0.66 tff(1888,plain,
% 0.50/0.66 (~(i9 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 0.50/0.66 tff(1889,plain,
% 0.50/0.66 (~(i9 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1888, 1885])).
% 0.50/0.66 tff(1890,plain,
% 0.50/0.66 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[465, 1889])).
% 0.50/0.66 tff(1891,plain,
% 0.50/0.66 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1890])).
% 0.50/0.66 tff(1892,plain,
% 0.50/0.66 ((i1 = sk(a_1449, a_1489)) <=> (i1 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1893,plain,
% 0.50/0.66 ((i1 = i31) <=> (i1 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1892])).
% 0.50/0.66 tff(1894,plain,
% 0.50/0.66 ((~(i1 = i31)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1893])).
% 0.50/0.66 tff(1895,plain,
% 0.50/0.66 ((~(i1 = i31)) <=> (~(i1 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1896,axiom,(~(i1 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp833')).
% 0.50/0.66 tff(1897,plain,
% 0.50/0.66 (~(i1 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 0.50/0.66 tff(1898,plain,
% 0.50/0.66 (~(i1 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1897, 1894])).
% 0.50/0.66 tff(1899,plain,
% 0.50/0.66 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[484, 1898])).
% 0.50/0.66 tff(1900,plain,
% 0.50/0.66 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1899])).
% 0.50/0.66 tff(1901,plain,
% 0.50/0.66 ((i2 = sk(a_1449, a_1489)) <=> (i2 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1902,plain,
% 0.50/0.66 ((i2 = i31) <=> (i2 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1901])).
% 0.50/0.66 tff(1903,plain,
% 0.50/0.66 ((~(i2 = i31)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1902])).
% 0.50/0.66 tff(1904,plain,
% 0.50/0.66 ((~(i2 = i31)) <=> (~(i2 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1905,axiom,(~(i2 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp795')).
% 0.50/0.66 tff(1906,plain,
% 0.50/0.66 (~(i2 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 0.50/0.66 tff(1907,plain,
% 0.50/0.66 (~(i2 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1906, 1903])).
% 0.50/0.66 tff(1908,plain,
% 0.50/0.66 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1067, 1907])).
% 0.50/0.66 tff(1909,plain,
% 0.50/0.66 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1908])).
% 0.50/0.66 tff(1910,plain,
% 0.50/0.66 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1563, 33, 1856])).
% 0.50/0.66 tff(1911,plain,
% 0.50/0.66 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1910])).
% 0.50/0.66 tff(1912,plain,
% 0.50/0.66 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1913,plain,
% 0.50/0.66 ((i8 = i31) <=> (i8 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1912])).
% 0.50/0.66 tff(1914,plain,
% 0.50/0.66 ((~(i8 = i31)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1913])).
% 0.50/0.66 tff(1915,plain,
% 0.50/0.66 ((~(i8 = i31)) <=> (~(i8 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1916,axiom,(~(i8 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp588')).
% 0.50/0.66 tff(1917,plain,
% 0.50/0.66 (~(i8 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 0.50/0.66 tff(1918,plain,
% 0.50/0.66 (~(i8 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1917, 1914])).
% 0.50/0.66 tff(1919,plain,
% 0.50/0.66 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1582, 1918])).
% 0.50/0.66 tff(1920,plain,
% 0.50/0.66 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1919])).
% 0.50/0.66 tff(1921,plain,
% 0.50/0.66 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1922,plain,
% 0.50/0.66 ((i22 = i31) <=> (i22 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1921])).
% 0.50/0.66 tff(1923,plain,
% 0.50/0.66 ((~(i22 = i31)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1922])).
% 0.50/0.66 tff(1924,plain,
% 0.50/0.66 ((~(i22 = i31)) <=> (~(i22 = i31))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(1925,axiom,(~(i22 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp245')).
% 0.50/0.66 tff(1926,plain,
% 0.50/0.66 (~(i22 = i31)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 0.50/0.66 tff(1927,plain,
% 0.50/0.66 (~(i22 = sk(a_1449, a_1489))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[1926, 1923])).
% 0.50/0.66 tff(1928,plain,
% 0.50/0.66 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1601, 1927])).
% 0.50/0.66 tff(1929,plain,
% 0.50/0.66 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.50/0.66 inference(symmetry,[status(thm)],[1928])).
% 0.50/0.66 tff(1930,plain,
% 0.50/0.66 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i31)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.66 tff(1931,plain,
% 0.50/0.66 ((i10 = i31) <=> (i10 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1930])).
% 0.50/0.67 tff(1932,plain,
% 0.50/0.67 ((~(i10 = i31)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1931])).
% 0.50/0.67 tff(1933,plain,
% 0.50/0.67 ((~(i10 = i31)) <=> (~(i10 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1934,axiom,(~(i10 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp527')).
% 0.50/0.67 tff(1935,plain,
% 0.50/0.67 (~(i10 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 0.50/0.67 tff(1936,plain,
% 0.50/0.67 (~(i10 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1935, 1932])).
% 0.50/0.67 tff(1937,plain,
% 0.50/0.67 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1620, 1936])).
% 0.50/0.67 tff(1938,plain,
% 0.50/0.67 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1937])).
% 0.50/0.67 tff(1939,plain,
% 0.50/0.67 ((i27 = sk(a_1449, a_1489)) <=> (i27 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1940,plain,
% 0.50/0.67 ((i27 = i31) <=> (i27 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1939])).
% 0.50/0.67 tff(1941,plain,
% 0.50/0.67 ((~(i27 = i31)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1940])).
% 0.50/0.67 tff(1942,plain,
% 0.50/0.67 ((~(i27 = i31)) <=> (~(i27 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1943,axiom,(~(i27 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp170')).
% 0.50/0.67 tff(1944,plain,
% 0.50/0.67 (~(i27 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 0.50/0.67 tff(1945,plain,
% 0.50/0.67 (~(i27 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1944, 1941])).
% 0.50/0.67 tff(1946,plain,
% 0.50/0.67 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1639, 1945])).
% 0.50/0.67 tff(1947,plain,
% 0.50/0.67 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1946])).
% 0.50/0.67 tff(1948,plain,
% 0.50/0.67 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1949,plain,
% 0.50/0.67 ((i21 = i31) <=> (i21 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1948])).
% 0.50/0.67 tff(1950,plain,
% 0.50/0.67 ((~(i21 = i31)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1949])).
% 0.50/0.67 tff(1951,plain,
% 0.50/0.67 ((~(i21 = i31)) <=> (~(i21 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1952,axiom,(~(i21 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp263')).
% 0.50/0.67 tff(1953,plain,
% 0.50/0.67 (~(i21 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 0.50/0.67 tff(1954,plain,
% 0.50/0.67 (~(i21 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1953, 1950])).
% 0.50/0.67 tff(1955,plain,
% 0.50/0.67 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1658, 1954])).
% 0.50/0.67 tff(1956,plain,
% 0.50/0.67 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1955])).
% 0.50/0.67 tff(1957,plain,
% 0.50/0.67 ((i26 = sk(a_1449, a_1489)) <=> (i26 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1958,plain,
% 0.50/0.67 ((i26 = i31) <=> (i26 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1957])).
% 0.50/0.67 tff(1959,plain,
% 0.50/0.67 ((~(i26 = i31)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1958])).
% 0.50/0.67 tff(1960,plain,
% 0.50/0.67 ((~(i26 = i31)) <=> (~(i26 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1961,axiom,(~(i26 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp183')).
% 0.50/0.67 tff(1962,plain,
% 0.50/0.67 (~(i26 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 0.50/0.67 tff(1963,plain,
% 0.50/0.67 (~(i26 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1962, 1959])).
% 0.50/0.67 tff(1964,plain,
% 0.50/0.67 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1677, 1963])).
% 0.50/0.67 tff(1965,plain,
% 0.50/0.67 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1964])).
% 0.50/0.67 tff(1966,plain,
% 0.50/0.67 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1967,plain,
% 0.50/0.67 ((i23 = i31) <=> (i23 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1966])).
% 0.50/0.67 tff(1968,plain,
% 0.50/0.67 ((~(i23 = i31)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1967])).
% 0.50/0.67 tff(1969,plain,
% 0.50/0.67 ((~(i23 = i31)) <=> (~(i23 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1970,axiom,(~(i23 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp228')).
% 0.50/0.67 tff(1971,plain,
% 0.50/0.67 (~(i23 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 0.50/0.67 tff(1972,plain,
% 0.50/0.67 (~(i23 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1971, 1968])).
% 0.50/0.67 tff(1973,plain,
% 0.50/0.67 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1696, 1972])).
% 0.50/0.67 tff(1974,plain,
% 0.50/0.67 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1973])).
% 0.50/0.67 tff(1975,plain,
% 0.50/0.67 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1976,plain,
% 0.50/0.67 ((i20 = i31) <=> (i20 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1975])).
% 0.50/0.67 tff(1977,plain,
% 0.50/0.67 ((~(i20 = i31)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1976])).
% 0.50/0.67 tff(1978,plain,
% 0.50/0.67 ((~(i20 = i31)) <=> (~(i20 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1979,axiom,(~(i20 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp282')).
% 0.50/0.67 tff(1980,plain,
% 0.50/0.67 (~(i20 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 0.50/0.67 tff(1981,plain,
% 0.50/0.67 (~(i20 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1980, 1977])).
% 0.50/0.67 tff(1982,plain,
% 0.50/0.67 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1726, 1981])).
% 0.50/0.67 tff(1983,plain,
% 0.50/0.67 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1982])).
% 0.50/0.67 tff(1984,plain,
% 0.50/0.67 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i31)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1848])).
% 0.50/0.67 tff(1985,plain,
% 0.50/0.67 ((i12 = i31) <=> (i12 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1984])).
% 0.50/0.67 tff(1986,plain,
% 0.50/0.67 ((~(i12 = i31)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1985])).
% 0.50/0.67 tff(1987,plain,
% 0.50/0.67 ((~(i12 = i31)) <=> (~(i12 = i31))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(1988,axiom,(~(i12 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp470')).
% 0.50/0.67 tff(1989,plain,
% 0.50/0.67 (~(i12 = i31)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 0.50/0.67 tff(1990,plain,
% 0.50/0.67 (~(i12 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[1989, 1986])).
% 0.50/0.67 tff(1991,plain,
% 0.50/0.67 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1756, 1990])).
% 0.50/0.67 tff(1992,plain,
% 0.50/0.67 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1991])).
% 0.50/0.67 tff(1993,plain,
% 0.50/0.67 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = e_1492),
% 0.50/0.67 inference(transitivity,[status(thm)],[1764, 1992, 1745, 1739, 1734, 1983, 1715, 1709, 1704, 1974, 1685, 1965, 1666, 1956, 1647, 1947, 1628, 1938, 1609, 1929, 1590, 1920, 1571, 1911, 1560, 1909, 1057, 1051, 1046, 1040, 1035, 497, 492, 1900, 473, 1891, 454, 1882, 435, 1874, 416, 1515, 397, 1872, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.50/0.67 tff(1994,plain,
% 0.50/0.67 ((select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1993, 1869])).
% 0.50/0.67 tff(1995,plain,
% 0.50/0.67 ((select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.50/0.67 inference(transitivity,[status(thm)],[1994, 1])).
% 0.50/0.67 tff(1996,plain,
% 0.50/0.67 ((e_1491 = e_1492) <=> (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1995])).
% 0.50/0.67 tff(1997,plain,
% 0.50/0.67 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1996])).
% 0.50/0.67 tff(1998,plain,
% 0.50/0.67 (~(select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[314, 1997])).
% 0.50/0.67 tff(1999,plain,
% 0.50/0.67 ($false),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1775, 1998, 1855])).
% 0.50/0.67 tff(2000,plain,((~(i31 = sk(a_1449, a_1489))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.67 tff(2001,plain,
% 0.50/0.67 (~(i31 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2000, 1475, 927, 530, 1846, 1481, 1084, 910, 332, 80, 38, 884, 897, 14, 318])).
% 0.50/0.67 tff(2002,plain,
% 0.50/0.67 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[446, 1479])).
% 0.50/0.67 tff(2003,plain,
% 0.50/0.67 (~(i38 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[518, 332, 55, 80, 38, 318])).
% 0.50/0.67 tff(2004,plain,
% 0.50/0.67 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[520, 2003])).
% 0.50/0.67 tff(2005,plain,
% 0.50/0.67 (~(i33 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1069, 927, 898, 896, 530, 1084, 910, 332, 80, 38, 14, 318])).
% 0.50/0.67 tff(2006,plain,
% 0.50/0.67 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[596, 2005])).
% 0.50/0.67 tff(2007,plain,
% 0.50/0.67 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[620, 2001])).
% 0.50/0.67 tff(2008,plain,
% 0.50/0.67 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[661, 1480])).
% 0.50/0.67 tff(2009,plain,
% 0.50/0.67 (~(i30 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 38, 1084, 925, 923, 561, 559, 557, 309])).
% 0.50/0.67 tff(2010,plain,
% 0.50/0.67 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[389, 2009])).
% 0.50/0.67 tff(2011,plain,
% 0.50/0.67 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2010])).
% 0.50/0.67 tff(2012,assumption,(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.67 tff(2013,plain,
% 0.50/0.67 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2012])).
% 0.50/0.67 tff(2014,assumption,(i9 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.50/0.67 tff(2015,plain,
% 0.50/0.67 (select(store(store(a_1478, i1, e1), i9, e9), i9) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[453, 2014])).
% 0.50/0.67 tff(2016,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1478, i1, e1), i9, e9), i9) = e9)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2017,plain,
% 0.50/0.67 (select(store(store(a_1478, i1, e1), i9, e9), i9) = e9),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2016, 97])).
% 0.50/0.67 tff(2018,plain,
% 0.50/0.67 (e9 = select(store(store(a_1478, i1, e1), i9, e9), i9)),
% 0.50/0.67 inference(symmetry,[status(thm)],[2017])).
% 0.50/0.67 tff(2019,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1416, i8, e8), i9, e9), i9) = e9)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2020,plain,
% 0.50/0.67 (select(store(store(a_1416, i8, e8), i9, e9), i9) = e9),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2019, 97])).
% 0.50/0.67 tff(2021,plain,
% 0.50/0.67 (sk(a_1449, a_1489) = i9),
% 0.50/0.67 inference(symmetry,[status(thm)],[2014])).
% 0.50/0.67 tff(2022,plain,
% 0.50/0.67 (store(a_1417, i9, e9) = store(store(a_1416, i8, e8), i9, e9)),
% 0.50/0.67 inference(symmetry,[status(thm)],[1363])).
% 0.50/0.67 tff(2023,plain,
% 0.50/0.67 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1416, i8, e8), i9, e9), i9)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2022, 2021])).
% 0.50/0.67 tff(2024,plain,
% 0.50/0.67 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = e_1492),
% 0.50/0.67 inference(transitivity,[status(thm)],[2023, 2020, 2018, 2015, 2013, 435, 1874, 416, 1515, 397, 2011, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.50/0.67 tff(2025,assumption,(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.67 tff(2026,plain,
% 0.50/0.67 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2025])).
% 0.50/0.67 tff(2027,plain,
% 0.50/0.67 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[128, 33, 2009])).
% 0.50/0.67 tff(2028,plain,
% 0.50/0.67 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2027])).
% 0.50/0.67 tff(2029,plain,
% 0.50/0.67 (select(store(a_1436, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[110])).
% 0.50/0.67 tff(2030,plain,
% 0.50/0.67 (select(store(a_1435, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[1478])).
% 0.50/0.67 tff(2031,assumption,(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.67 tff(2032,plain,
% 0.50/0.67 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2031])).
% 0.50/0.67 tff(2033,plain,
% 0.50/0.67 ((sk(a_1449, a_1489) = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(commutativity,[status(thm)],[])).
% 0.50/0.67 tff(2034,plain,
% 0.50/0.67 ((i9 = i26) <=> (sk(a_1449, a_1489) = i26)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.67 tff(2035,plain,
% 0.50/0.67 ((i9 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(transitivity,[status(thm)],[2034, 2033])).
% 0.50/0.67 tff(2036,plain,
% 0.50/0.67 ((~(i9 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2035])).
% 0.50/0.67 tff(2037,plain,
% 0.50/0.67 ((~(i9 = i26)) <=> (~(i9 = i26))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(2038,axiom,(~(i9 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp562')).
% 0.50/0.67 tff(2039,plain,
% 0.50/0.67 (~(i9 = i26)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2038, 2037])).
% 0.50/0.67 tff(2040,plain,
% 0.50/0.67 (~(i26 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2039, 2036])).
% 0.50/0.67 tff(2041,plain,
% 0.50/0.67 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[682, 2040])).
% 0.50/0.67 tff(2042,plain,
% 0.50/0.67 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2041])).
% 0.50/0.67 tff(2043,plain,
% 0.50/0.67 ((sk(a_1449, a_1489) = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(commutativity,[status(thm)],[])).
% 0.50/0.67 tff(2044,plain,
% 0.50/0.67 ((i9 = i25) <=> (sk(a_1449, a_1489) = i25)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.67 tff(2045,plain,
% 0.50/0.67 ((i9 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.50/0.67 inference(transitivity,[status(thm)],[2044, 2043])).
% 0.50/0.67 tff(2046,plain,
% 0.50/0.67 ((~(i9 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2045])).
% 0.50/0.67 tff(2047,plain,
% 0.50/0.67 ((~(i9 = i25)) <=> (~(i9 = i25))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2048,axiom,(~(i9 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp563')).
% 0.50/0.68 tff(2049,plain,
% 0.50/0.68 (~(i9 = i25)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 0.50/0.68 tff(2050,plain,
% 0.50/0.68 (~(i25 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2049, 2046])).
% 0.50/0.68 tff(2051,plain,
% 0.50/0.68 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[702, 33, 2050])).
% 0.50/0.68 tff(2052,plain,
% 0.50/0.68 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2051])).
% 0.50/0.68 tff(2053,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2054,plain,
% 0.50/0.68 ((i9 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2055,plain,
% 0.50/0.68 ((i9 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2054, 2053])).
% 0.50/0.68 tff(2056,plain,
% 0.50/0.68 ((~(i9 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2055])).
% 0.50/0.68 tff(2057,plain,
% 0.50/0.68 ((~(i9 = i24)) <=> (~(i9 = i24))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2058,axiom,(~(i9 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp564')).
% 0.50/0.68 tff(2059,plain,
% 0.50/0.68 (~(i9 = i24)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 0.50/0.68 tff(2060,plain,
% 0.50/0.68 (~(i24 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2059, 2056])).
% 0.50/0.68 tff(2061,plain,
% 0.50/0.68 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[723, 33, 2060])).
% 0.50/0.68 tff(2062,plain,
% 0.50/0.68 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2061])).
% 0.50/0.68 tff(2063,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2064,plain,
% 0.50/0.68 ((i9 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2065,plain,
% 0.50/0.68 ((i9 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2064, 2063])).
% 0.50/0.68 tff(2066,plain,
% 0.50/0.68 ((~(i9 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2065])).
% 0.50/0.68 tff(2067,plain,
% 0.50/0.68 ((~(i9 = i23)) <=> (~(i9 = i23))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2068,axiom,(~(i9 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp565')).
% 0.50/0.68 tff(2069,plain,
% 0.50/0.68 (~(i9 = i23)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 0.50/0.68 tff(2070,plain,
% 0.50/0.68 (~(i23 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2069, 2066])).
% 0.50/0.68 tff(2071,plain,
% 0.50/0.68 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[744, 33, 2070])).
% 0.50/0.68 tff(2072,plain,
% 0.50/0.68 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2071])).
% 0.50/0.68 tff(2073,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2074,plain,
% 0.50/0.68 ((i9 = i22) <=> (sk(a_1449, a_1489) = i22)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2075,plain,
% 0.50/0.68 ((i9 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2074, 2073])).
% 0.50/0.68 tff(2076,plain,
% 0.50/0.68 ((~(i9 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2075])).
% 0.50/0.68 tff(2077,plain,
% 0.50/0.68 ((~(i9 = i22)) <=> (~(i9 = i22))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2078,axiom,(~(i9 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp566')).
% 0.50/0.68 tff(2079,plain,
% 0.50/0.68 (~(i9 = i22)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 0.50/0.68 tff(2080,plain,
% 0.50/0.68 (~(i22 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2079, 2076])).
% 0.50/0.68 tff(2081,plain,
% 0.50/0.68 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[765, 33, 2080])).
% 0.50/0.68 tff(2082,plain,
% 0.50/0.68 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2081])).
% 0.50/0.68 tff(2083,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2084,plain,
% 0.50/0.68 ((i9 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2085,plain,
% 0.50/0.68 ((i9 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2084, 2083])).
% 0.50/0.68 tff(2086,plain,
% 0.50/0.68 ((~(i9 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2085])).
% 0.50/0.68 tff(2087,plain,
% 0.50/0.68 ((~(i9 = i21)) <=> (~(i9 = i21))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2088,axiom,(~(i9 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp567')).
% 0.50/0.68 tff(2089,plain,
% 0.50/0.68 (~(i9 = i21)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 0.50/0.68 tff(2090,plain,
% 0.50/0.68 (~(i21 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2089, 2086])).
% 0.50/0.68 tff(2091,plain,
% 0.50/0.68 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[786, 33, 2090])).
% 0.50/0.68 tff(2092,plain,
% 0.50/0.68 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2091])).
% 0.50/0.68 tff(2093,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2094,plain,
% 0.50/0.68 ((i9 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2095,plain,
% 0.50/0.68 ((i9 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2094, 2093])).
% 0.50/0.68 tff(2096,plain,
% 0.50/0.68 ((~(i9 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2095])).
% 0.50/0.68 tff(2097,plain,
% 0.50/0.68 ((~(i9 = i20)) <=> (~(i9 = i20))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2098,axiom,(~(i9 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp568')).
% 0.50/0.68 tff(2099,plain,
% 0.50/0.68 (~(i9 = i20)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 0.50/0.68 tff(2100,plain,
% 0.50/0.68 (~(i20 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2099, 2096])).
% 0.50/0.68 tff(2101,plain,
% 0.50/0.68 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[807, 33, 2100])).
% 0.50/0.68 tff(2102,plain,
% 0.50/0.68 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2101])).
% 0.50/0.68 tff(2103,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2104,plain,
% 0.50/0.68 ((i9 = i18) <=> (sk(a_1449, a_1489) = i18)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2105,plain,
% 0.50/0.68 ((i9 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2104, 2103])).
% 0.50/0.68 tff(2106,plain,
% 0.50/0.68 ((~(i9 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2105])).
% 0.50/0.68 tff(2107,plain,
% 0.50/0.68 ((~(i9 = i18)) <=> (~(i9 = i18))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2108,axiom,(~(i9 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp570')).
% 0.50/0.68 tff(2109,plain,
% 0.50/0.68 (~(i9 = i18)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 0.50/0.68 tff(2110,plain,
% 0.50/0.68 (~(i18 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2109, 2106])).
% 0.50/0.68 tff(2111,plain,
% 0.50/0.68 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[839, 33, 2110])).
% 0.50/0.68 tff(2112,plain,
% 0.50/0.68 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2111])).
% 0.50/0.68 tff(2113,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2114,plain,
% 0.50/0.68 ((i9 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2115,plain,
% 0.50/0.68 ((i9 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2114, 2113])).
% 0.50/0.68 tff(2116,plain,
% 0.50/0.68 ((~(i9 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2115])).
% 0.50/0.68 tff(2117,plain,
% 0.50/0.68 ((~(i9 = i17)) <=> (~(i9 = i17))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2118,axiom,(~(i9 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp571')).
% 0.50/0.68 tff(2119,plain,
% 0.50/0.68 (~(i9 = i17)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2118, 2117])).
% 0.50/0.68 tff(2120,plain,
% 0.50/0.68 (~(i17 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2119, 2116])).
% 0.50/0.68 tff(2121,plain,
% 0.50/0.68 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[860, 33, 2120])).
% 0.50/0.68 tff(2122,plain,
% 0.50/0.68 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2121])).
% 0.50/0.68 tff(2123,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2124,plain,
% 0.50/0.68 ((i9 = i16) <=> (sk(a_1449, a_1489) = i16)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2125,plain,
% 0.50/0.68 ((i9 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2124, 2123])).
% 0.50/0.68 tff(2126,plain,
% 0.50/0.68 ((~(i9 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2125])).
% 0.50/0.68 tff(2127,plain,
% 0.50/0.68 ((~(i9 = i16)) <=> (~(i9 = i16))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2128,axiom,(~(i9 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp572')).
% 0.50/0.68 tff(2129,plain,
% 0.50/0.68 (~(i9 = i16)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 0.50/0.68 tff(2130,plain,
% 0.50/0.68 (~(i16 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2129, 2126])).
% 0.50/0.68 tff(2131,plain,
% 0.50/0.68 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[877, 33, 2130])).
% 0.50/0.68 tff(2132,plain,
% 0.50/0.68 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2131])).
% 0.50/0.68 tff(2133,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2134,plain,
% 0.50/0.68 ((i9 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2135,plain,
% 0.50/0.68 ((i9 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2134, 2133])).
% 0.50/0.68 tff(2136,plain,
% 0.50/0.68 ((~(i9 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2135])).
% 0.50/0.68 tff(2137,plain,
% 0.50/0.68 ((~(i9 = i14)) <=> (~(i9 = i14))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2138,axiom,(~(i9 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp574')).
% 0.50/0.68 tff(2139,plain,
% 0.50/0.68 (~(i9 = i14)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 0.50/0.68 tff(2140,plain,
% 0.50/0.68 (~(i14 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2139, 2136])).
% 0.50/0.68 tff(2141,plain,
% 0.50/0.68 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1271, 33, 2140])).
% 0.50/0.68 tff(2142,plain,
% 0.50/0.68 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2141])).
% 0.50/0.68 tff(2143,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2144,plain,
% 0.50/0.68 ((i9 = i13) <=> (sk(a_1449, a_1489) = i13)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2145,plain,
% 0.50/0.68 ((i9 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2144, 2143])).
% 0.50/0.68 tff(2146,plain,
% 0.50/0.68 ((~(i9 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2145])).
% 0.50/0.68 tff(2147,plain,
% 0.50/0.68 ((~(i9 = i13)) <=> (~(i9 = i13))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2148,axiom,(~(i9 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp575')).
% 0.50/0.68 tff(2149,plain,
% 0.50/0.68 (~(i9 = i13)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 0.50/0.68 tff(2150,plain,
% 0.50/0.68 (~(i13 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2149, 2146])).
% 0.50/0.68 tff(2151,plain,
% 0.50/0.68 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1292, 33, 2150])).
% 0.50/0.68 tff(2152,plain,
% 0.50/0.68 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2151])).
% 0.50/0.68 tff(2153,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2154,plain,
% 0.50/0.68 ((i9 = i12) <=> (sk(a_1449, a_1489) = i12)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2155,plain,
% 0.50/0.68 ((i9 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2154, 2153])).
% 0.50/0.68 tff(2156,plain,
% 0.50/0.68 ((~(i9 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2155])).
% 0.50/0.68 tff(2157,plain,
% 0.50/0.68 ((~(i9 = i12)) <=> (~(i9 = i12))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2158,axiom,(~(i9 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp576')).
% 0.50/0.68 tff(2159,plain,
% 0.50/0.68 (~(i9 = i12)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 0.50/0.68 tff(2160,plain,
% 0.50/0.68 (~(i12 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2159, 2156])).
% 0.50/0.68 tff(2161,plain,
% 0.50/0.68 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1313, 33, 2160])).
% 0.50/0.68 tff(2162,plain,
% 0.50/0.68 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2161])).
% 0.50/0.68 tff(2163,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2164,plain,
% 0.50/0.68 ((i9 = i11) <=> (sk(a_1449, a_1489) = i11)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2165,plain,
% 0.50/0.68 ((i9 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2164, 2163])).
% 0.50/0.68 tff(2166,plain,
% 0.50/0.68 ((~(i9 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2165])).
% 0.50/0.68 tff(2167,plain,
% 0.50/0.68 ((~(i9 = i11)) <=> (~(i9 = i11))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2168,axiom,(~(i9 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp577')).
% 0.50/0.68 tff(2169,plain,
% 0.50/0.68 (~(i9 = i11)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 0.50/0.68 tff(2170,plain,
% 0.50/0.68 (~(i11 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2169, 2166])).
% 0.50/0.68 tff(2171,plain,
% 0.50/0.68 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1334, 33, 2170])).
% 0.50/0.68 tff(2172,plain,
% 0.50/0.68 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2171])).
% 0.50/0.68 tff(2173,plain,
% 0.50/0.68 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = e_1491),
% 0.50/0.68 inference(transitivity,[status(thm)],[1343, 2172, 1322, 2162, 1301, 2152, 1280, 2142, 1259, 1253, 1248, 2132, 869, 2122, 848, 2112, 827, 821, 816, 2102, 795, 2092, 774, 2082, 753, 2072, 732, 2062, 711, 2052, 690, 2042, 669, 2032, 648, 2030, 637, 2029, 116, 2028, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.50/0.68 tff(2174,plain,
% 0.50/0.68 ((select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2173, 2024])).
% 0.50/0.68 tff(2175,plain,
% 0.50/0.68 ((e_1491 = e_1492) <=> (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2174])).
% 0.50/0.68 tff(2176,plain,
% 0.50/0.68 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2175])).
% 0.50/0.68 tff(2177,plain,
% 0.50/0.68 (~(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[314, 2176])).
% 0.50/0.68 tff(2178,plain,
% 0.50/0.68 ((sk(a_1449, a_1489) = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2179,plain,
% 0.50/0.68 ((i9 = i10) <=> (sk(a_1449, a_1489) = i10)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2014])).
% 0.50/0.68 tff(2180,plain,
% 0.50/0.68 ((i9 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2179, 2178])).
% 0.50/0.68 tff(2181,plain,
% 0.50/0.68 ((~(i9 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2180])).
% 0.50/0.68 tff(2182,plain,
% 0.50/0.68 ((~(i9 = i10)) <=> (~(i9 = i10))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2183,axiom,(~(i9 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp578')).
% 0.50/0.68 tff(2184,plain,
% 0.50/0.68 (~(i9 = i10)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2183, 2182])).
% 0.50/0.68 tff(2185,plain,
% 0.50/0.68 (~(i10 = sk(a_1449, a_1489))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2184, 2181])).
% 0.50/0.68 tff(2186,plain,
% 0.50/0.68 ($false),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1355, 33, 2185, 2177])).
% 0.50/0.68 tff(2187,plain,((~(i9 = sk(a_1449, a_1489))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.69 tff(2188,plain,
% 0.50/0.69 (~(i9 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2187, 2008, 1475, 1481, 910, 332, 80, 2002, 1478, 110, 2007, 1846, 2006, 927, 898, 896, 530, 2004, 320, 55, 1083, 27])).
% 0.50/0.69 tff(2189,plain,
% 0.50/0.69 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[465, 2188])).
% 0.50/0.69 tff(2190,plain,
% 0.50/0.69 ((i2 = i1) <=> (i1 = i2)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2191,assumption,(i1 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.50/0.69 tff(2192,plain,
% 0.50/0.69 (sk(a_1449, a_1489) = i1),
% 0.50/0.69 inference(symmetry,[status(thm)],[2191])).
% 0.50/0.69 tff(2193,plain,
% 0.50/0.69 ((i2 = sk(a_1449, a_1489)) <=> (i2 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2194,plain,
% 0.50/0.69 ((i2 = sk(a_1449, a_1489)) <=> (i1 = i2)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2193, 2190])).
% 0.50/0.69 tff(2195,plain,
% 0.50/0.69 ((i1 = i2) <=> (i2 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2194])).
% 0.50/0.69 tff(2196,plain,
% 0.50/0.69 ((~(i1 = i2)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2195])).
% 0.50/0.69 tff(2197,plain,
% 0.50/0.69 ((~(i1 = i2)) <=> (~(i1 = i2))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2198,axiom,(~(i1 = i2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp862')).
% 0.50/0.69 tff(2199,plain,
% 0.50/0.69 (~(i1 = i2)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 0.50/0.69 tff(2200,plain,
% 0.50/0.69 (~(i2 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2199, 2196])).
% 0.50/0.69 tff(2201,plain,
% 0.50/0.69 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[1481])).
% 0.50/0.69 tff(2202,plain,
% 0.50/0.69 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2002])).
% 0.50/0.69 tff(2203,assumption,(~(i9 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.69 tff(2204,plain,
% 0.50/0.69 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[465, 2203])).
% 0.50/0.69 tff(2205,plain,
% 0.50/0.69 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2204])).
% 0.50/0.69 tff(2206,plain,
% 0.50/0.69 (select(store(store(a_1477, i39, e39), i1, e1), i1) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[472, 2191])).
% 0.50/0.69 tff(2207,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1477, i39, e39), i1, e1), i1) = e1)),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2208,plain,
% 0.50/0.69 (select(store(store(a_1477, i39, e39), i1, e1), i1) = e1),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2207, 97])).
% 0.50/0.69 tff(2209,plain,
% 0.50/0.69 (e1 = select(store(store(a_1477, i39, e39), i1, e1), i1)),
% 0.50/0.69 inference(symmetry,[status(thm)],[2208])).
% 0.50/0.69 tff(2210,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i1, e1), i1) = e1)),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2211,plain,
% 0.50/0.69 (select(store(a1, i1, e1), i1) = e1),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2210, 97])).
% 0.50/0.69 tff(2212,plain,
% 0.50/0.69 (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(store(a1, i1, e1), i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2213,plain,
% 0.50/0.69 (select(store(a1, i1, e1), sk(a_1449, a_1489)) = e_1492),
% 0.50/0.69 inference(transitivity,[status(thm)],[2212, 2211, 2209, 2206, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 2011, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.50/0.69 tff(2214,plain,
% 0.50/0.69 ((i1 = i26) <=> (sk(a_1449, a_1489) = i26)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2191])).
% 0.50/0.69 tff(2215,plain,
% 0.50/0.69 ((i1 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(transitivity,[status(thm)],[2214, 2033])).
% 0.50/0.69 tff(2216,plain,
% 0.50/0.69 ((~(i1 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2215])).
% 0.50/0.69 tff(2217,plain,
% 0.50/0.69 ((~(i1 = i26)) <=> (~(i1 = i26))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2218,axiom,(~(i1 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp838')).
% 0.50/0.69 tff(2219,plain,
% 0.50/0.69 (~(i1 = i26)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 0.50/0.69 tff(2220,plain,
% 0.50/0.69 (~(i26 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2219, 2216])).
% 0.50/0.69 tff(2221,plain,
% 0.50/0.69 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[682, 2220])).
% 0.50/0.69 tff(2222,plain,
% 0.50/0.69 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2221])).
% 0.50/0.69 tff(2223,plain,
% 0.50/0.69 ((i25 = i1) <=> (i1 = i25)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2224,plain,
% 0.50/0.69 ((i25 = sk(a_1449, a_1489)) <=> (i25 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2225,plain,
% 0.50/0.69 ((i25 = sk(a_1449, a_1489)) <=> (i1 = i25)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2224, 2223])).
% 0.50/0.69 tff(2226,plain,
% 0.50/0.69 ((i1 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2225])).
% 0.50/0.69 tff(2227,plain,
% 0.50/0.69 ((~(i1 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2226])).
% 0.50/0.69 tff(2228,plain,
% 0.50/0.69 ((~(i1 = i25)) <=> (~(i1 = i25))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2229,axiom,(~(i1 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp839')).
% 0.50/0.69 tff(2230,plain,
% 0.50/0.69 (~(i1 = i25)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 0.50/0.69 tff(2231,plain,
% 0.50/0.69 (~(i25 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2230, 2227])).
% 0.50/0.69 tff(2232,plain,
% 0.50/0.69 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[703, 2231])).
% 0.50/0.69 tff(2233,plain,
% 0.50/0.69 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2232])).
% 0.50/0.69 tff(2234,plain,
% 0.50/0.69 ((i24 = i1) <=> (i1 = i24)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2235,plain,
% 0.50/0.69 ((i24 = sk(a_1449, a_1489)) <=> (i24 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2236,plain,
% 0.50/0.69 ((i24 = sk(a_1449, a_1489)) <=> (i1 = i24)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2235, 2234])).
% 0.50/0.69 tff(2237,plain,
% 0.50/0.69 ((i1 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2236])).
% 0.50/0.69 tff(2238,plain,
% 0.50/0.69 ((~(i1 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2237])).
% 0.50/0.69 tff(2239,plain,
% 0.50/0.69 ((~(i1 = i24)) <=> (~(i1 = i24))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2240,axiom,(~(i1 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp840')).
% 0.50/0.69 tff(2241,plain,
% 0.50/0.69 (~(i1 = i24)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 0.50/0.69 tff(2242,plain,
% 0.50/0.69 (~(i24 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2241, 2238])).
% 0.50/0.69 tff(2243,plain,
% 0.50/0.69 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[724, 2242])).
% 0.50/0.69 tff(2244,plain,
% 0.50/0.69 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2243])).
% 0.50/0.69 tff(2245,plain,
% 0.50/0.69 ((i23 = i1) <=> (i1 = i23)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2246,plain,
% 0.50/0.69 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2247,plain,
% 0.50/0.69 ((i23 = sk(a_1449, a_1489)) <=> (i1 = i23)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2246, 2245])).
% 0.50/0.69 tff(2248,plain,
% 0.50/0.69 ((i1 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2247])).
% 0.50/0.69 tff(2249,plain,
% 0.50/0.69 ((~(i1 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2248])).
% 0.50/0.69 tff(2250,plain,
% 0.50/0.69 ((~(i1 = i23)) <=> (~(i1 = i23))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2251,axiom,(~(i1 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp841')).
% 0.50/0.69 tff(2252,plain,
% 0.50/0.69 (~(i1 = i23)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 0.50/0.69 tff(2253,plain,
% 0.50/0.69 (~(i23 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2252, 2249])).
% 0.50/0.69 tff(2254,plain,
% 0.50/0.69 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[745, 2253])).
% 0.50/0.69 tff(2255,plain,
% 0.50/0.69 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2254])).
% 0.50/0.69 tff(2256,plain,
% 0.50/0.69 ((i22 = i1) <=> (i1 = i22)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2257,plain,
% 0.50/0.69 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2258,plain,
% 0.50/0.69 ((i22 = sk(a_1449, a_1489)) <=> (i1 = i22)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2257, 2256])).
% 0.50/0.69 tff(2259,plain,
% 0.50/0.69 ((i1 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2258])).
% 0.50/0.69 tff(2260,plain,
% 0.50/0.69 ((~(i1 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2259])).
% 0.50/0.69 tff(2261,plain,
% 0.50/0.69 ((~(i1 = i22)) <=> (~(i1 = i22))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2262,axiom,(~(i1 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp842')).
% 0.50/0.69 tff(2263,plain,
% 0.50/0.69 (~(i1 = i22)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 0.50/0.69 tff(2264,plain,
% 0.50/0.69 (~(i22 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2263, 2260])).
% 0.50/0.69 tff(2265,plain,
% 0.50/0.69 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[766, 2264])).
% 0.50/0.69 tff(2266,plain,
% 0.50/0.69 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2265])).
% 0.50/0.69 tff(2267,plain,
% 0.50/0.69 ((i21 = i1) <=> (i1 = i21)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2268,plain,
% 0.50/0.69 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2269,plain,
% 0.50/0.69 ((i21 = sk(a_1449, a_1489)) <=> (i1 = i21)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2268, 2267])).
% 0.50/0.69 tff(2270,plain,
% 0.50/0.69 ((i1 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2269])).
% 0.50/0.69 tff(2271,plain,
% 0.50/0.69 ((~(i1 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2270])).
% 0.50/0.69 tff(2272,plain,
% 0.50/0.69 ((~(i1 = i21)) <=> (~(i1 = i21))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2273,axiom,(~(i1 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp843')).
% 0.50/0.69 tff(2274,plain,
% 0.50/0.69 (~(i1 = i21)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 0.50/0.69 tff(2275,plain,
% 0.50/0.69 (~(i21 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2274, 2271])).
% 0.50/0.69 tff(2276,plain,
% 0.50/0.69 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[787, 2275])).
% 0.50/0.69 tff(2277,plain,
% 0.50/0.69 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2276])).
% 0.50/0.69 tff(2278,plain,
% 0.50/0.69 ((i20 = i1) <=> (i1 = i20)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2279,plain,
% 0.50/0.69 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2280,plain,
% 0.50/0.69 ((i20 = sk(a_1449, a_1489)) <=> (i1 = i20)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2279, 2278])).
% 0.50/0.69 tff(2281,plain,
% 0.50/0.69 ((i1 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2280])).
% 0.50/0.69 tff(2282,plain,
% 0.50/0.69 ((~(i1 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2281])).
% 0.50/0.69 tff(2283,plain,
% 0.50/0.69 ((~(i1 = i20)) <=> (~(i1 = i20))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2284,axiom,(~(i1 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp844')).
% 0.50/0.69 tff(2285,plain,
% 0.50/0.69 (~(i1 = i20)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2284, 2283])).
% 0.50/0.69 tff(2286,plain,
% 0.50/0.69 (~(i20 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2285, 2282])).
% 0.50/0.69 tff(2287,plain,
% 0.50/0.69 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[808, 2286])).
% 0.50/0.69 tff(2288,plain,
% 0.50/0.69 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2287])).
% 0.50/0.69 tff(2289,plain,
% 0.50/0.69 ((i18 = i1) <=> (i1 = i18)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2290,plain,
% 0.50/0.69 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2291,plain,
% 0.50/0.69 ((i18 = sk(a_1449, a_1489)) <=> (i1 = i18)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2290, 2289])).
% 0.50/0.69 tff(2292,plain,
% 0.50/0.69 ((i1 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2291])).
% 0.50/0.69 tff(2293,plain,
% 0.50/0.69 ((~(i1 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2292])).
% 0.50/0.69 tff(2294,plain,
% 0.50/0.69 ((~(i1 = i18)) <=> (~(i1 = i18))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2295,axiom,(~(i1 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp846')).
% 0.50/0.69 tff(2296,plain,
% 0.50/0.69 (~(i1 = i18)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 0.50/0.69 tff(2297,plain,
% 0.50/0.69 (~(i18 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2296, 2293])).
% 0.50/0.69 tff(2298,plain,
% 0.50/0.69 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[840, 2297])).
% 0.50/0.69 tff(2299,plain,
% 0.50/0.69 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2298])).
% 0.50/0.69 tff(2300,plain,
% 0.50/0.69 ((i17 = i1) <=> (i1 = i17)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2301,plain,
% 0.50/0.69 ((i17 = sk(a_1449, a_1489)) <=> (i17 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2302,plain,
% 0.50/0.69 ((i17 = sk(a_1449, a_1489)) <=> (i1 = i17)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2301, 2300])).
% 0.50/0.69 tff(2303,plain,
% 0.50/0.69 ((i1 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2302])).
% 0.50/0.69 tff(2304,plain,
% 0.50/0.69 ((~(i1 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2303])).
% 0.50/0.69 tff(2305,plain,
% 0.50/0.69 ((~(i1 = i17)) <=> (~(i1 = i17))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2306,axiom,(~(i1 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp847')).
% 0.50/0.69 tff(2307,plain,
% 0.50/0.69 (~(i1 = i17)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2306, 2305])).
% 0.50/0.69 tff(2308,plain,
% 0.50/0.69 (~(i17 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2307, 2304])).
% 0.50/0.69 tff(2309,plain,
% 0.50/0.69 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[861, 2308])).
% 0.50/0.69 tff(2310,plain,
% 0.50/0.69 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2309])).
% 0.50/0.69 tff(2311,plain,
% 0.50/0.69 ((i16 = i1) <=> (i1 = i16)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2312,plain,
% 0.50/0.69 ((i16 = sk(a_1449, a_1489)) <=> (i16 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2313,plain,
% 0.50/0.69 ((i16 = sk(a_1449, a_1489)) <=> (i1 = i16)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2312, 2311])).
% 0.50/0.69 tff(2314,plain,
% 0.50/0.69 ((i1 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2313])).
% 0.50/0.69 tff(2315,plain,
% 0.50/0.69 ((~(i1 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2314])).
% 0.50/0.69 tff(2316,plain,
% 0.50/0.69 ((~(i1 = i16)) <=> (~(i1 = i16))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2317,axiom,(~(i1 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp848')).
% 0.50/0.69 tff(2318,plain,
% 0.50/0.69 (~(i1 = i16)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 0.50/0.69 tff(2319,plain,
% 0.50/0.69 (~(i16 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2318, 2315])).
% 0.50/0.69 tff(2320,plain,
% 0.50/0.69 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[878, 2319])).
% 0.50/0.69 tff(2321,plain,
% 0.50/0.69 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2320])).
% 0.50/0.69 tff(2322,plain,
% 0.50/0.69 ((i14 = i1) <=> (i1 = i14)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2323,plain,
% 0.50/0.69 ((i14 = sk(a_1449, a_1489)) <=> (i14 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2324,plain,
% 0.50/0.69 ((i14 = sk(a_1449, a_1489)) <=> (i1 = i14)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2323, 2322])).
% 0.50/0.69 tff(2325,plain,
% 0.50/0.69 ((i1 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2324])).
% 0.50/0.69 tff(2326,plain,
% 0.50/0.69 ((~(i1 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2325])).
% 0.50/0.69 tff(2327,plain,
% 0.50/0.69 ((~(i1 = i14)) <=> (~(i1 = i14))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2328,axiom,(~(i1 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp850')).
% 0.50/0.69 tff(2329,plain,
% 0.50/0.69 (~(i1 = i14)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 0.50/0.69 tff(2330,plain,
% 0.50/0.69 (~(i14 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2329, 2326])).
% 0.50/0.69 tff(2331,plain,
% 0.50/0.69 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1272, 2330])).
% 0.50/0.69 tff(2332,plain,
% 0.50/0.69 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2331])).
% 0.50/0.69 tff(2333,plain,
% 0.50/0.69 ((i13 = i1) <=> (i1 = i13)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2334,plain,
% 0.50/0.69 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2335,plain,
% 0.50/0.69 ((i13 = sk(a_1449, a_1489)) <=> (i1 = i13)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2334, 2333])).
% 0.50/0.69 tff(2336,plain,
% 0.50/0.69 ((i1 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2335])).
% 0.50/0.69 tff(2337,plain,
% 0.50/0.69 ((~(i1 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2336])).
% 0.50/0.69 tff(2338,plain,
% 0.50/0.69 ((~(i1 = i13)) <=> (~(i1 = i13))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2339,axiom,(~(i1 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp851')).
% 0.50/0.69 tff(2340,plain,
% 0.50/0.69 (~(i1 = i13)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 0.50/0.69 tff(2341,plain,
% 0.50/0.69 (~(i13 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2340, 2337])).
% 0.50/0.69 tff(2342,plain,
% 0.50/0.69 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1293, 2341])).
% 0.50/0.69 tff(2343,plain,
% 0.50/0.69 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2342])).
% 0.50/0.69 tff(2344,plain,
% 0.50/0.69 ((i12 = i1) <=> (i1 = i12)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2345,plain,
% 0.50/0.69 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2346,plain,
% 0.50/0.69 ((i12 = sk(a_1449, a_1489)) <=> (i1 = i12)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2345, 2344])).
% 0.50/0.69 tff(2347,plain,
% 0.50/0.69 ((i1 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2346])).
% 0.50/0.69 tff(2348,plain,
% 0.50/0.69 ((~(i1 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2347])).
% 0.50/0.69 tff(2349,plain,
% 0.50/0.69 ((~(i1 = i12)) <=> (~(i1 = i12))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2350,axiom,(~(i1 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp852')).
% 0.50/0.69 tff(2351,plain,
% 0.50/0.69 (~(i1 = i12)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 0.50/0.69 tff(2352,plain,
% 0.50/0.69 (~(i12 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2351, 2348])).
% 0.50/0.69 tff(2353,plain,
% 0.50/0.69 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1314, 2352])).
% 0.50/0.69 tff(2354,plain,
% 0.50/0.69 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2353])).
% 0.50/0.69 tff(2355,plain,
% 0.50/0.69 ((i11 = i1) <=> (i1 = i11)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2356,plain,
% 0.50/0.69 ((i11 = sk(a_1449, a_1489)) <=> (i11 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2357,plain,
% 0.50/0.69 ((i11 = sk(a_1449, a_1489)) <=> (i1 = i11)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2356, 2355])).
% 0.50/0.69 tff(2358,plain,
% 0.50/0.69 ((i1 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2357])).
% 0.50/0.69 tff(2359,plain,
% 0.50/0.69 ((~(i1 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2358])).
% 0.50/0.69 tff(2360,plain,
% 0.50/0.69 ((~(i1 = i11)) <=> (~(i1 = i11))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2361,axiom,(~(i1 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp853')).
% 0.50/0.69 tff(2362,plain,
% 0.50/0.69 (~(i1 = i11)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 0.50/0.69 tff(2363,plain,
% 0.50/0.69 (~(i11 = sk(a_1449, a_1489))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2362, 2359])).
% 0.50/0.69 tff(2364,plain,
% 0.50/0.69 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1335, 2363])).
% 0.50/0.69 tff(2365,plain,
% 0.50/0.69 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2364])).
% 0.50/0.69 tff(2366,plain,
% 0.50/0.69 ((i10 = i1) <=> (i1 = i10)),
% 0.50/0.69 inference(commutativity,[status(thm)],[])).
% 0.50/0.69 tff(2367,plain,
% 0.50/0.69 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.69 tff(2368,plain,
% 0.50/0.69 ((i10 = sk(a_1449, a_1489)) <=> (i1 = i10)),
% 0.50/0.69 inference(transitivity,[status(thm)],[2367, 2366])).
% 0.50/0.70 tff(2369,plain,
% 0.50/0.70 ((i1 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2368])).
% 0.50/0.70 tff(2370,plain,
% 0.50/0.70 ((~(i1 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2369])).
% 0.50/0.70 tff(2371,plain,
% 0.50/0.70 ((~(i1 = i10)) <=> (~(i1 = i10))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2372,axiom,(~(i1 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp854')).
% 0.50/0.70 tff(2373,plain,
% 0.50/0.70 (~(i1 = i10)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 0.50/0.70 tff(2374,plain,
% 0.50/0.70 (~(i10 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2373, 2370])).
% 0.50/0.70 tff(2375,plain,
% 0.50/0.70 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1356, 2374])).
% 0.50/0.70 tff(2376,plain,
% 0.50/0.70 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2375])).
% 0.50/0.70 tff(2377,plain,
% 0.50/0.70 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1376, 33, 2203])).
% 0.50/0.70 tff(2378,plain,
% 0.50/0.70 (select(store(a_1416, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2377])).
% 0.50/0.70 tff(2379,plain,
% 0.50/0.70 ((i8 = i1) <=> (i1 = i8)),
% 0.50/0.70 inference(commutativity,[status(thm)],[])).
% 0.50/0.70 tff(2380,plain,
% 0.50/0.70 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i1)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.70 tff(2381,plain,
% 0.50/0.70 ((i8 = sk(a_1449, a_1489)) <=> (i1 = i8)),
% 0.50/0.70 inference(transitivity,[status(thm)],[2380, 2379])).
% 0.50/0.70 tff(2382,plain,
% 0.50/0.70 ((i1 = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2381])).
% 0.50/0.70 tff(2383,plain,
% 0.50/0.70 ((~(i1 = i8)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2382])).
% 0.50/0.70 tff(2384,plain,
% 0.50/0.70 ((~(i1 = i8)) <=> (~(i1 = i8))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2385,axiom,(~(i1 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp856')).
% 0.50/0.70 tff(2386,plain,
% 0.50/0.70 (~(i1 = i8)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 0.50/0.70 tff(2387,plain,
% 0.50/0.70 (~(i8 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2386, 2383])).
% 0.50/0.70 tff(2388,plain,
% 0.50/0.70 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1398, 2387])).
% 0.50/0.70 tff(2389,plain,
% 0.50/0.70 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2388])).
% 0.50/0.70 tff(2390,plain,
% 0.50/0.70 ((i7 = i1) <=> (i1 = i7)),
% 0.50/0.70 inference(commutativity,[status(thm)],[])).
% 0.50/0.70 tff(2391,plain,
% 0.50/0.70 ((i7 = sk(a_1449, a_1489)) <=> (i7 = i1)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.70 tff(2392,plain,
% 0.50/0.70 ((i7 = sk(a_1449, a_1489)) <=> (i1 = i7)),
% 0.50/0.70 inference(transitivity,[status(thm)],[2391, 2390])).
% 0.50/0.70 tff(2393,plain,
% 0.50/0.70 ((i1 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2392])).
% 0.50/0.70 tff(2394,plain,
% 0.50/0.70 ((~(i1 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2393])).
% 0.50/0.70 tff(2395,plain,
% 0.50/0.70 ((~(i1 = i7)) <=> (~(i1 = i7))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2396,axiom,(~(i1 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp857')).
% 0.50/0.70 tff(2397,plain,
% 0.50/0.70 (~(i1 = i7)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2396, 2395])).
% 0.50/0.70 tff(2398,plain,
% 0.50/0.70 (~(i7 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2397, 2394])).
% 0.50/0.70 tff(2399,plain,
% 0.50/0.70 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1419, 2398])).
% 0.50/0.70 tff(2400,plain,
% 0.50/0.70 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2399])).
% 0.50/0.70 tff(2401,plain,
% 0.50/0.70 ((i6 = i1) <=> (i1 = i6)),
% 0.50/0.70 inference(commutativity,[status(thm)],[])).
% 0.50/0.70 tff(2402,plain,
% 0.50/0.70 ((i6 = sk(a_1449, a_1489)) <=> (i6 = i1)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2192])).
% 0.50/0.70 tff(2403,plain,
% 0.50/0.70 ((i6 = sk(a_1449, a_1489)) <=> (i1 = i6)),
% 0.50/0.70 inference(transitivity,[status(thm)],[2402, 2401])).
% 0.50/0.70 tff(2404,plain,
% 0.50/0.70 ((i1 = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2403])).
% 0.50/0.70 tff(2405,plain,
% 0.50/0.70 ((~(i1 = i6)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2404])).
% 0.50/0.70 tff(2406,plain,
% 0.50/0.70 ((~(i1 = i6)) <=> (~(i1 = i6))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2407,axiom,(~(i1 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp858')).
% 0.50/0.70 tff(2408,plain,
% 0.50/0.70 (~(i1 = i6)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 0.50/0.70 tff(2409,plain,
% 0.50/0.70 (~(i6 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2408, 2405])).
% 0.50/0.70 tff(2410,plain,
% 0.50/0.70 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1440, 2409])).
% 0.50/0.70 tff(2411,plain,
% 0.50/0.70 (select(store(a_1413, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2410])).
% 0.50/0.70 tff(2412,plain,
% 0.50/0.70 (select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1456, 33, 1474])).
% 0.50/0.70 tff(2413,plain,
% 0.50/0.70 (select(store(a_1412, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2412])).
% 0.50/0.70 tff(2414,plain,
% 0.50/0.70 (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1412, i4, e4), sk(a_1449, a_1489))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[1099])).
% 0.50/0.70 tff(2415,plain,
% 0.50/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1449, a_1489)) | (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1449, a_1489)) | (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2416,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1449, a_1489)) | (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2417,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1449, a_1489)) | (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 0.50/0.70 tff(2418,plain,
% 0.50/0.70 (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2417, 33, 1477])).
% 0.50/0.70 tff(2419,plain,
% 0.50/0.70 (select(store(a_1411, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2418])).
% 0.50/0.70 tff(2420,plain,
% 0.50/0.70 ((a_1411 = store(a_1410, i2, e2)) <=> (a_1411 = store(a_1410, i2, e2))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2421,axiom,(a_1411 = store(a_1410, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1')).
% 0.50/0.70 tff(2422,plain,
% 0.50/0.70 (a_1411 = store(a_1410, i2, e2)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 0.50/0.70 tff(2423,plain,
% 0.50/0.70 (store(a_1410, i2, e2) = a_1411),
% 0.50/0.70 inference(symmetry,[status(thm)],[2422])).
% 0.50/0.70 tff(2424,plain,
% 0.50/0.70 (store(store(a_1410, i2, e2), i3, e3) = store(a_1411, i3, e3)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2423])).
% 0.50/0.70 tff(2425,plain,
% 0.50/0.70 (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2424])).
% 0.50/0.70 tff(2426,plain,
% 0.50/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1449, a_1489)) | (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1449, a_1489)) | (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2427,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1449, a_1489)) | (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2428,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1449, a_1489)) | (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2427, 2426])).
% 0.50/0.70 tff(2429,plain,
% 0.50/0.70 (select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2428, 33, 1479])).
% 0.50/0.70 tff(2430,plain,
% 0.50/0.70 (select(store(a_1410, i2, e2), sk(a_1449, a_1489)) = select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2429])).
% 0.50/0.70 tff(2431,plain,
% 0.50/0.70 ((a_1410 = store(a1, i1, e1)) <=> (a_1410 = store(a1, i1, e1))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2432,axiom,(a_1410 = store(a1, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp0')).
% 0.50/0.70 tff(2433,plain,
% 0.50/0.70 (a_1410 = store(a1, i1, e1)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 0.50/0.70 tff(2434,plain,
% 0.50/0.70 (store(a1, i1, e1) = a_1410),
% 0.50/0.70 inference(symmetry,[status(thm)],[2433])).
% 0.50/0.70 tff(2435,plain,
% 0.50/0.70 (store(store(a1, i1, e1), i2, e2) = store(a_1410, i2, e2)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2434])).
% 0.50/0.70 tff(2436,plain,
% 0.50/0.70 (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2435])).
% 0.50/0.70 tff(2437,plain,
% 0.50/0.70 (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = e_1491),
% 0.50/0.70 inference(transitivity,[status(thm)],[2436, 2430, 2425, 2419, 2414, 2413, 1448, 2411, 1427, 2400, 1406, 2389, 1385, 2378, 1364, 2376, 1343, 2365, 1322, 2354, 1301, 2343, 1280, 2332, 1259, 1253, 1248, 2321, 869, 2310, 848, 2299, 827, 821, 816, 2288, 795, 2277, 774, 2266, 753, 2255, 732, 2244, 711, 2233, 690, 2222, 669, 2032, 648, 2030, 637, 2029, 116, 2028, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.50/0.70 tff(2438,plain,
% 0.50/0.70 ((select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2437, 2213])).
% 0.50/0.70 tff(2439,plain,
% 0.50/0.70 ((e_1491 = e_1492) <=> (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2438])).
% 0.50/0.70 tff(2440,plain,
% 0.50/0.70 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2439])).
% 0.50/0.70 tff(2441,plain,
% 0.50/0.70 (~(select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[314, 2440])).
% 0.50/0.70 tff(2442,plain,
% 0.50/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1449, a_1489)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1449, a_1489)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2443,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1449, a_1489)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2444,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1449, a_1489)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 0.50/0.70 tff(2445,plain,
% 0.50/0.70 ((i2 = sk(a_1449, a_1489)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489)))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2444, 33])).
% 0.50/0.70 tff(2446,plain,
% 0.50/0.70 ($false),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2445, 2441, 2200])).
% 0.50/0.70 tff(2447,plain,((~(i1 = sk(a_1449, a_1489))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.70 tff(2448,plain,
% 0.50/0.70 (~(i1 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2447, 2188, 332, 80, 2008, 1478, 110, 2007, 1846, 2006, 927, 898, 896, 530, 2004, 320, 55, 1479, 1477, 1474, 910, 1083, 27])).
% 0.50/0.70 tff(2449,plain,
% 0.50/0.70 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[483, 33, 2448])).
% 0.50/0.70 tff(2450,plain,
% 0.50/0.70 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1038, 33, 2003])).
% 0.50/0.70 tff(2451,assumption,(i26 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.50/0.70 tff(2452,plain,
% 0.50/0.70 (sk(a_1449, a_1489) = i26),
% 0.50/0.70 inference(symmetry,[status(thm)],[2451])).
% 0.50/0.70 tff(2453,plain,
% 0.50/0.70 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i26)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2452])).
% 0.50/0.70 tff(2454,plain,
% 0.50/0.70 ((i21 = i26) <=> (i21 = sk(a_1449, a_1489))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2453])).
% 0.50/0.70 tff(2455,plain,
% 0.50/0.70 ((~(i21 = i26)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2454])).
% 0.50/0.70 tff(2456,plain,
% 0.50/0.70 ((~(i21 = i26)) <=> (~(i21 = i26))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2457,axiom,(~(i21 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp268')).
% 0.50/0.70 tff(2458,plain,
% 0.50/0.70 (~(i21 = i26)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 0.50/0.70 tff(2459,plain,
% 0.50/0.70 (~(i21 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2458, 2455])).
% 0.50/0.71 tff(2460,assumption,(~(i33 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2461,plain,
% 0.50/0.71 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[596, 2460])).
% 0.50/0.71 tff(2462,plain,
% 0.50/0.71 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2461])).
% 0.50/0.71 tff(2463,plain,
% 0.50/0.71 (~(i30 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 925, 923, 561, 559, 557, 309])).
% 0.50/0.71 tff(2464,plain,
% 0.50/0.71 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[128, 33, 2463])).
% 0.50/0.71 tff(2465,plain,
% 0.50/0.71 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2464])).
% 0.50/0.71 tff(2466,plain,
% 0.50/0.71 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2008])).
% 0.50/0.71 tff(2467,plain,
% 0.50/0.71 (select(store(store(a_1433, i25, e25), i26, e26), i26) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[668, 2451])).
% 0.50/0.71 tff(2468,plain,
% 0.50/0.71 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1433, i25, e25), i26, e26), i26) = e26)),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(2469,plain,
% 0.50/0.71 (select(store(store(a_1433, i25, e25), i26, e26), i26) = e26),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2468, 97])).
% 0.50/0.71 tff(2470,plain,
% 0.50/0.71 (e26 = select(store(store(a_1433, i25, e25), i26, e26), i26)),
% 0.50/0.71 inference(symmetry,[status(thm)],[2469])).
% 0.50/0.71 tff(2471,plain,
% 0.50/0.71 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1466, i23, e23), i26, e26), i26) = e26)),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(2472,plain,
% 0.50/0.71 (select(store(store(a_1466, i23, e23), i26, e26), i26) = e26),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2471, 97])).
% 0.50/0.71 tff(2473,plain,
% 0.50/0.71 (store(a_1467, i26, e26) = store(store(a_1466, i23, e23), i26, e26)),
% 0.50/0.71 inference(symmetry,[status(thm)],[1665])).
% 0.50/0.71 tff(2474,plain,
% 0.50/0.71 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), i26)),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2473, 2452])).
% 0.50/0.71 tff(2475,plain,
% 0.50/0.71 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = e_1491),
% 0.50/0.71 inference(transitivity,[status(thm)],[2474, 2472, 2470, 2467, 2466, 648, 2030, 637, 2029, 116, 2465, 135, 2026, 154, 1860, 173, 2462, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.50/0.71 tff(2476,plain,
% 0.50/0.71 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[389, 2463])).
% 0.50/0.71 tff(2477,plain,
% 0.50/0.71 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2476])).
% 0.50/0.71 tff(2478,assumption,(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2479,plain,
% 0.50/0.71 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2478])).
% 0.50/0.71 tff(2480,assumption,(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2481,plain,
% 0.50/0.71 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2480])).
% 0.50/0.71 tff(2482,assumption,(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2483,plain,
% 0.50/0.71 (select(store(a_1476, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2482])).
% 0.50/0.71 tff(2484,assumption,(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2485,plain,
% 0.50/0.71 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2484])).
% 0.50/0.71 tff(2486,assumption,(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))), introduced(assumption)).
% 0.50/0.71 tff(2487,plain,
% 0.50/0.71 (select(store(a_1474, i2, e2), sk(a_1449, a_1489)) = select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2486])).
% 0.50/0.71 tff(2488,plain,
% 0.50/0.71 ((i2 = i26) <=> (i2 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2451])).
% 0.50/0.71 tff(2489,plain,
% 0.50/0.71 ((~(i2 = i26)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2488])).
% 0.50/0.71 tff(2490,plain,
% 0.50/0.71 ((~(i2 = i26)) <=> (~(i2 = i26))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(2491,axiom,(~(i2 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp800')).
% 0.50/0.71 tff(2492,plain,
% 0.50/0.71 (~(i2 = i26)),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 0.50/0.71 tff(2493,plain,
% 0.50/0.71 (~(i2 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2492, 2489])).
% 0.50/0.71 tff(2494,plain,
% 0.50/0.71 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1067, 2493])).
% 0.50/0.71 tff(2495,plain,
% 0.50/0.71 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2494])).
% 0.50/0.71 tff(2496,plain,
% 0.50/0.71 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1563, 33, 2460])).
% 0.50/0.71 tff(2497,plain,
% 0.50/0.71 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2496])).
% 0.50/0.71 tff(2498,plain,
% 0.50/0.71 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i26)),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2452])).
% 0.50/0.71 tff(2499,plain,
% 0.50/0.71 ((i8 = i26) <=> (i8 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2498])).
% 0.50/0.71 tff(2500,plain,
% 0.50/0.71 ((~(i8 = i26)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2499])).
% 0.50/0.71 tff(2501,plain,
% 0.50/0.71 ((~(i8 = i26)) <=> (~(i8 = i26))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(2502,axiom,(~(i8 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp593')).
% 0.50/0.71 tff(2503,plain,
% 0.50/0.71 (~(i8 = i26)),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 0.50/0.71 tff(2504,plain,
% 0.50/0.71 (~(i8 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2503, 2500])).
% 0.50/0.71 tff(2505,plain,
% 0.50/0.71 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1582, 2504])).
% 0.50/0.71 tff(2506,plain,
% 0.50/0.71 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2505])).
% 0.50/0.71 tff(2507,plain,
% 0.50/0.71 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i26)),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2452])).
% 0.50/0.71 tff(2508,plain,
% 0.50/0.71 ((i22 = i26) <=> (i22 = sk(a_1449, a_1489))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2507])).
% 0.50/0.71 tff(2509,plain,
% 0.50/0.71 ((~(i22 = i26)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2508])).
% 0.50/0.71 tff(2510,plain,
% 0.50/0.71 ((~(i22 = i26)) <=> (~(i22 = i26))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(2511,axiom,(~(i22 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp250')).
% 0.56/0.71 tff(2512,plain,
% 0.56/0.71 (~(i22 = i26)),
% 0.56/0.71 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 0.56/0.71 tff(2513,plain,
% 0.56/0.71 (~(i22 = sk(a_1449, a_1489))),
% 0.56/0.71 inference(modus_ponens,[status(thm)],[2512, 2509])).
% 0.56/0.71 tff(2514,plain,
% 0.56/0.71 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[1601, 2513])).
% 0.56/0.71 tff(2515,plain,
% 0.56/0.71 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2514])).
% 0.56/0.71 tff(2516,plain,
% 0.56/0.71 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i26)),
% 0.56/0.71 inference(monotonicity,[status(thm)],[2452])).
% 0.56/0.71 tff(2517,plain,
% 0.56/0.71 ((i10 = i26) <=> (i10 = sk(a_1449, a_1489))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2516])).
% 0.56/0.71 tff(2518,plain,
% 0.56/0.71 ((~(i10 = i26)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.56/0.71 inference(monotonicity,[status(thm)],[2517])).
% 0.56/0.71 tff(2519,plain,
% 0.56/0.71 ((~(i10 = i26)) <=> (~(i10 = i26))),
% 0.56/0.71 inference(rewrite,[status(thm)],[])).
% 0.56/0.71 tff(2520,axiom,(~(i10 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp532')).
% 0.56/0.71 tff(2521,plain,
% 0.56/0.71 (~(i10 = i26)),
% 0.56/0.71 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 0.56/0.71 tff(2522,plain,
% 0.56/0.71 (~(i10 = sk(a_1449, a_1489))),
% 0.56/0.71 inference(modus_ponens,[status(thm)],[2521, 2518])).
% 0.56/0.71 tff(2523,plain,
% 0.56/0.71 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[1620, 2522])).
% 0.56/0.71 tff(2524,plain,
% 0.56/0.71 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2523])).
% 0.56/0.71 tff(2525,plain,
% 0.56/0.71 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[1638, 33, 1480])).
% 0.56/0.71 tff(2526,plain,
% 0.56/0.71 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2525])).
% 0.56/0.71 tff(2527,plain,
% 0.56/0.71 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = e_1492),
% 0.56/0.71 inference(transitivity,[status(thm)],[1647, 2526, 1628, 2524, 1609, 2515, 1590, 2506, 1571, 2497, 1560, 2495, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.56/0.71 tff(2528,plain,
% 0.56/0.71 ((select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.56/0.71 inference(monotonicity,[status(thm)],[2527, 2475])).
% 0.56/0.71 tff(2529,plain,
% 0.56/0.71 ((select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.56/0.71 inference(transitivity,[status(thm)],[2528, 1])).
% 0.56/0.71 tff(2530,plain,
% 0.56/0.71 ((e_1491 = e_1492) <=> (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489)))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2529])).
% 0.56/0.71 tff(2531,plain,
% 0.56/0.71 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))))),
% 0.56/0.71 inference(monotonicity,[status(thm)],[2530])).
% 0.56/0.71 tff(2532,plain,
% 0.56/0.71 (~(select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489)))),
% 0.56/0.71 inference(modus_ponens,[status(thm)],[314, 2531])).
% 0.56/0.71 tff(2533,plain,
% 0.56/0.71 ($false),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[1658, 2532, 2459])).
% 0.56/0.71 tff(2534,plain,((~(i26 = sk(a_1449, a_1489))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i27 = sk(a_1449, a_1489)) | (i33 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.71 tff(2535,plain,
% 0.56/0.71 (~(i26 = sk(a_1449, a_1489))),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[2534, 1050, 110, 2007, 1846, 927, 898, 896, 530, 2004, 320, 55, 2189, 2450, 496, 2449, 1478, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 1480, 2005])).
% 0.56/0.71 tff(2536,plain,
% 0.56/0.71 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.56/0.71 inference(unit_resolution,[status(thm)],[682, 2535])).
% 0.56/0.71 tff(2537,plain,
% 0.56/0.71 (store(a_1480, i3, e3) = store(store(a_1479, i9, e9), i3, e3)),
% 0.56/0.71 inference(symmetry,[status(thm)],[434])).
% 0.56/0.71 tff(2538,plain,
% 0.56/0.71 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.56/0.71 inference(monotonicity,[status(thm)],[2537])).
% 0.56/0.71 tff(2539,plain,
% 0.56/0.71 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.56/0.71 inference(symmetry,[status(thm)],[2538])).
% 0.56/0.71 tff(2540,plain,
% 0.56/0.71 (store(a_1479, i9, e9) = store(store(a_1478, i1, e1), i9, e9)),
% 0.56/0.71 inference(symmetry,[status(thm)],[453])).
% 0.56/0.71 tff(2541,plain,
% 0.56/0.71 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2540])).
% 0.56/0.72 tff(2542,plain,
% 0.56/0.72 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2541])).
% 0.56/0.72 tff(2543,plain,
% 0.56/0.72 (store(a_1478, i1, e1) = store(store(a_1477, i39, e39), i1, e1)),
% 0.56/0.72 inference(symmetry,[status(thm)],[472])).
% 0.56/0.72 tff(2544,plain,
% 0.56/0.72 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2543])).
% 0.56/0.72 tff(2545,plain,
% 0.56/0.72 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2544])).
% 0.56/0.72 tff(2546,plain,
% 0.56/0.72 (~(i1 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[2447, 2203, 332, 80, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309, 1479, 1477, 1474, 910, 1083, 27])).
% 0.56/0.72 tff(2547,plain,
% 0.56/0.72 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[484, 2546])).
% 0.56/0.72 tff(2548,plain,
% 0.56/0.72 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2547])).
% 0.56/0.72 tff(2549,plain,
% 0.56/0.72 (store(a_1477, i39, e39) = store(store(a_1476, i38, e38), i39, e39)),
% 0.56/0.72 inference(symmetry,[status(thm)],[491])).
% 0.56/0.72 tff(2550,plain,
% 0.56/0.72 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2549])).
% 0.56/0.72 tff(2551,plain,
% 0.56/0.72 (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2550])).
% 0.56/0.72 tff(2552,plain,
% 0.56/0.72 (store(a_1476, i38, e38) = store(store(a_1475, i40, e40), i38, e38)),
% 0.56/0.72 inference(symmetry,[status(thm)],[502])).
% 0.56/0.72 tff(2553,plain,
% 0.56/0.72 (select(store(a_1476, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2552])).
% 0.56/0.72 tff(2554,plain,
% 0.56/0.72 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2553])).
% 0.56/0.72 tff(2555,plain,
% 0.56/0.72 (store(a_1475, i40, e40) = store(store(a_1474, i2, e2), i40, e40)),
% 0.56/0.72 inference(symmetry,[status(thm)],[1045])).
% 0.56/0.72 tff(2556,plain,
% 0.56/0.72 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2555])).
% 0.56/0.72 tff(2557,plain,
% 0.56/0.72 (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2556])).
% 0.56/0.72 tff(2558,assumption,(i2 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.56/0.72 tff(2559,plain,
% 0.56/0.72 (sk(a_1449, a_1489) = i2),
% 0.56/0.72 inference(symmetry,[status(thm)],[2558])).
% 0.56/0.72 tff(2560,plain,
% 0.56/0.72 (store(a_1474, i2, e2) = store(store(a_1473, i33, e33), i2, e2)),
% 0.56/0.72 inference(symmetry,[status(thm)],[1056])).
% 0.56/0.72 tff(2561,plain,
% 0.56/0.72 (select(store(a_1474, i2, e2), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2560, 2559])).
% 0.56/0.72 tff(2562,plain,
% 0.56/0.72 (select(store(store(a_1473, i33, e33), i2, e2), i2) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2561])).
% 0.56/0.72 tff(2563,plain,
% 0.56/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1473, i33, e33), i2, e2), i2) = e2)),
% 0.56/0.72 inference(quant_inst,[status(thm)],[])).
% 0.56/0.72 tff(2564,plain,
% 0.56/0.72 (select(store(store(a_1473, i33, e33), i2, e2), i2) = e2),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[2563, 97])).
% 0.56/0.72 tff(2565,plain,
% 0.56/0.72 (e2 = select(store(store(a_1473, i33, e33), i2, e2), i2)),
% 0.56/0.72 inference(symmetry,[status(thm)],[2564])).
% 0.56/0.72 tff(2566,plain,
% 0.56/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i1, e1), i2, e2), i2) = e2)),
% 0.56/0.72 inference(quant_inst,[status(thm)],[])).
% 0.56/0.72 tff(2567,plain,
% 0.56/0.72 (select(store(store(a1, i1, e1), i2, e2), i2) = e2),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[2566, 97])).
% 0.56/0.72 tff(2568,plain,
% 0.56/0.72 (select(store(store(a1, i1, e1), i2, e2), i2) = select(store(a_1410, i2, e2), sk(a_1449, a_1489))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2435, 2558])).
% 0.56/0.72 tff(2569,plain,
% 0.56/0.72 (select(store(a_1410, i2, e2), sk(a_1449, a_1489)) = select(store(store(a1, i1, e1), i2, e2), i2)),
% 0.56/0.72 inference(symmetry,[status(thm)],[2568])).
% 0.56/0.72 tff(2570,plain,
% 0.56/0.72 (select(store(a_1411, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2425])).
% 0.56/0.72 tff(2571,plain,
% 0.56/0.72 (select(store(a_1412, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2414])).
% 0.56/0.72 tff(2572,plain,
% 0.56/0.72 (select(store(a_1413, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1448])).
% 0.56/0.72 tff(2573,plain,
% 0.56/0.72 ((i6 = i2) <=> (i2 = i6)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2574,plain,
% 0.56/0.72 ((i6 = sk(a_1449, a_1489)) <=> (i6 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2575,plain,
% 0.56/0.72 ((i6 = sk(a_1449, a_1489)) <=> (i2 = i6)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2574, 2573])).
% 0.56/0.72 tff(2576,plain,
% 0.56/0.72 ((i2 = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2575])).
% 0.56/0.72 tff(2577,plain,
% 0.56/0.72 ((~(i2 = i6)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2576])).
% 0.56/0.72 tff(2578,plain,
% 0.56/0.72 ((~(i2 = i6)) <=> (~(i2 = i6))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2579,axiom,(~(i2 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp820')).
% 0.56/0.72 tff(2580,plain,
% 0.56/0.72 (~(i2 = i6)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 0.56/0.72 tff(2581,plain,
% 0.56/0.72 (~(i6 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2580, 2577])).
% 0.56/0.72 tff(2582,plain,
% 0.56/0.72 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1440, 2581])).
% 0.56/0.72 tff(2583,plain,
% 0.56/0.72 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1427])).
% 0.56/0.72 tff(2584,plain,
% 0.56/0.72 ((i7 = i2) <=> (i2 = i7)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2585,plain,
% 0.56/0.72 ((i7 = sk(a_1449, a_1489)) <=> (i7 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2586,plain,
% 0.56/0.72 ((i7 = sk(a_1449, a_1489)) <=> (i2 = i7)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2585, 2584])).
% 0.56/0.72 tff(2587,plain,
% 0.56/0.72 ((i2 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2586])).
% 0.56/0.72 tff(2588,plain,
% 0.56/0.72 ((~(i2 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2587])).
% 0.56/0.72 tff(2589,plain,
% 0.56/0.72 ((~(i2 = i7)) <=> (~(i2 = i7))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2590,axiom,(~(i2 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp819')).
% 0.56/0.72 tff(2591,plain,
% 0.56/0.72 (~(i2 = i7)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 0.56/0.72 tff(2592,plain,
% 0.56/0.72 (~(i7 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2591, 2588])).
% 0.56/0.72 tff(2593,plain,
% 0.56/0.72 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1419, 2592])).
% 0.56/0.72 tff(2594,plain,
% 0.56/0.72 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1406])).
% 0.56/0.72 tff(2595,plain,
% 0.56/0.72 ((i8 = i2) <=> (i2 = i8)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2596,plain,
% 0.56/0.72 ((i8 = sk(a_1449, a_1489)) <=> (i8 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2597,plain,
% 0.56/0.72 ((i8 = sk(a_1449, a_1489)) <=> (i2 = i8)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2596, 2595])).
% 0.56/0.72 tff(2598,plain,
% 0.56/0.72 ((i2 = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2597])).
% 0.56/0.72 tff(2599,plain,
% 0.56/0.72 ((~(i2 = i8)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2598])).
% 0.56/0.72 tff(2600,plain,
% 0.56/0.72 ((~(i2 = i8)) <=> (~(i2 = i8))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2601,axiom,(~(i2 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp818')).
% 0.56/0.72 tff(2602,plain,
% 0.56/0.72 (~(i2 = i8)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 0.56/0.72 tff(2603,plain,
% 0.56/0.72 (~(i8 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2602, 2599])).
% 0.56/0.72 tff(2604,plain,
% 0.56/0.72 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1398, 2603])).
% 0.56/0.72 tff(2605,plain,
% 0.56/0.72 (select(store(a_1416, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1385])).
% 0.56/0.72 tff(2606,plain,
% 0.56/0.72 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1364])).
% 0.56/0.72 tff(2607,plain,
% 0.56/0.72 ((i10 = i2) <=> (i2 = i10)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2608,plain,
% 0.56/0.72 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2609,plain,
% 0.56/0.72 ((i10 = sk(a_1449, a_1489)) <=> (i2 = i10)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2608, 2607])).
% 0.56/0.72 tff(2610,plain,
% 0.56/0.72 ((i2 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2609])).
% 0.56/0.72 tff(2611,plain,
% 0.56/0.72 ((~(i2 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2610])).
% 0.56/0.72 tff(2612,plain,
% 0.56/0.72 ((~(i2 = i10)) <=> (~(i2 = i10))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2613,axiom,(~(i2 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp816')).
% 0.56/0.72 tff(2614,plain,
% 0.56/0.72 (~(i2 = i10)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 0.56/0.72 tff(2615,plain,
% 0.56/0.72 (~(i10 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2614, 2611])).
% 0.56/0.72 tff(2616,plain,
% 0.56/0.72 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1356, 2615])).
% 0.56/0.72 tff(2617,plain,
% 0.56/0.72 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1343])).
% 0.56/0.72 tff(2618,plain,
% 0.56/0.72 ((i11 = i2) <=> (i2 = i11)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2619,plain,
% 0.56/0.72 ((i11 = sk(a_1449, a_1489)) <=> (i11 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2620,plain,
% 0.56/0.72 ((i11 = sk(a_1449, a_1489)) <=> (i2 = i11)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2619, 2618])).
% 0.56/0.72 tff(2621,plain,
% 0.56/0.72 ((i2 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2620])).
% 0.56/0.72 tff(2622,plain,
% 0.56/0.72 ((~(i2 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2621])).
% 0.56/0.72 tff(2623,plain,
% 0.56/0.72 ((~(i2 = i11)) <=> (~(i2 = i11))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2624,axiom,(~(i2 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp815')).
% 0.56/0.72 tff(2625,plain,
% 0.56/0.72 (~(i2 = i11)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 0.56/0.72 tff(2626,plain,
% 0.56/0.72 (~(i11 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2625, 2622])).
% 0.56/0.72 tff(2627,plain,
% 0.56/0.72 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1335, 2626])).
% 0.56/0.72 tff(2628,plain,
% 0.56/0.72 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1322])).
% 0.56/0.72 tff(2629,plain,
% 0.56/0.72 ((i12 = i2) <=> (i2 = i12)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2630,plain,
% 0.56/0.72 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2631,plain,
% 0.56/0.72 ((i12 = sk(a_1449, a_1489)) <=> (i2 = i12)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2630, 2629])).
% 0.56/0.72 tff(2632,plain,
% 0.56/0.72 ((i2 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2631])).
% 0.56/0.72 tff(2633,plain,
% 0.56/0.72 ((~(i2 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2632])).
% 0.56/0.72 tff(2634,plain,
% 0.56/0.72 ((~(i2 = i12)) <=> (~(i2 = i12))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2635,axiom,(~(i2 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp814')).
% 0.56/0.72 tff(2636,plain,
% 0.56/0.72 (~(i2 = i12)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 0.56/0.72 tff(2637,plain,
% 0.56/0.72 (~(i12 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2636, 2633])).
% 0.56/0.72 tff(2638,plain,
% 0.56/0.72 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1314, 2637])).
% 0.56/0.72 tff(2639,plain,
% 0.56/0.72 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1301])).
% 0.56/0.72 tff(2640,plain,
% 0.56/0.72 ((i13 = i2) <=> (i2 = i13)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2641,plain,
% 0.56/0.72 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2642,plain,
% 0.56/0.72 ((i13 = sk(a_1449, a_1489)) <=> (i2 = i13)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2641, 2640])).
% 0.56/0.72 tff(2643,plain,
% 0.56/0.72 ((i2 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2642])).
% 0.56/0.72 tff(2644,plain,
% 0.56/0.72 ((~(i2 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2643])).
% 0.56/0.72 tff(2645,plain,
% 0.56/0.72 ((~(i2 = i13)) <=> (~(i2 = i13))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2646,axiom,(~(i2 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp813')).
% 0.56/0.72 tff(2647,plain,
% 0.56/0.72 (~(i2 = i13)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 0.56/0.72 tff(2648,plain,
% 0.56/0.72 (~(i13 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2647, 2644])).
% 0.56/0.72 tff(2649,plain,
% 0.56/0.72 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1293, 2648])).
% 0.56/0.72 tff(2650,plain,
% 0.56/0.72 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1280])).
% 0.56/0.72 tff(2651,plain,
% 0.56/0.72 ((i14 = i2) <=> (i2 = i14)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2652,plain,
% 0.56/0.72 ((i14 = sk(a_1449, a_1489)) <=> (i14 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2653,plain,
% 0.56/0.72 ((i14 = sk(a_1449, a_1489)) <=> (i2 = i14)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2652, 2651])).
% 0.56/0.72 tff(2654,plain,
% 0.56/0.72 ((i2 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2653])).
% 0.56/0.72 tff(2655,plain,
% 0.56/0.72 ((~(i2 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2654])).
% 0.56/0.72 tff(2656,plain,
% 0.56/0.72 ((~(i2 = i14)) <=> (~(i2 = i14))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2657,axiom,(~(i2 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp812')).
% 0.56/0.72 tff(2658,plain,
% 0.56/0.72 (~(i2 = i14)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 0.56/0.72 tff(2659,plain,
% 0.56/0.72 (~(i14 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2658, 2655])).
% 0.56/0.72 tff(2660,plain,
% 0.56/0.72 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[1272, 2659])).
% 0.56/0.72 tff(2661,plain,
% 0.56/0.72 (select(store(a_1422, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1259])).
% 0.56/0.72 tff(2662,plain,
% 0.56/0.72 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[1248])).
% 0.56/0.72 tff(2663,plain,
% 0.56/0.72 ((i16 = i2) <=> (i2 = i16)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2664,plain,
% 0.56/0.72 ((i16 = sk(a_1449, a_1489)) <=> (i16 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2665,plain,
% 0.56/0.72 ((i16 = sk(a_1449, a_1489)) <=> (i2 = i16)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2664, 2663])).
% 0.56/0.72 tff(2666,plain,
% 0.56/0.72 ((i2 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2665])).
% 0.56/0.72 tff(2667,plain,
% 0.56/0.72 ((~(i2 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2666])).
% 0.56/0.72 tff(2668,plain,
% 0.56/0.72 ((~(i2 = i16)) <=> (~(i2 = i16))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2669,axiom,(~(i2 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp810')).
% 0.56/0.72 tff(2670,plain,
% 0.56/0.72 (~(i2 = i16)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2669, 2668])).
% 0.56/0.72 tff(2671,plain,
% 0.56/0.72 (~(i16 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2670, 2667])).
% 0.56/0.72 tff(2672,plain,
% 0.56/0.72 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[878, 2671])).
% 0.56/0.72 tff(2673,plain,
% 0.56/0.72 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[869])).
% 0.56/0.72 tff(2674,plain,
% 0.56/0.72 ((i17 = i2) <=> (i2 = i17)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2675,plain,
% 0.56/0.72 ((i17 = sk(a_1449, a_1489)) <=> (i17 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2676,plain,
% 0.56/0.72 ((i17 = sk(a_1449, a_1489)) <=> (i2 = i17)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2675, 2674])).
% 0.56/0.72 tff(2677,plain,
% 0.56/0.72 ((i2 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2676])).
% 0.56/0.72 tff(2678,plain,
% 0.56/0.72 ((~(i2 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2677])).
% 0.56/0.72 tff(2679,plain,
% 0.56/0.72 ((~(i2 = i17)) <=> (~(i2 = i17))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2680,axiom,(~(i2 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp809')).
% 0.56/0.72 tff(2681,plain,
% 0.56/0.72 (~(i2 = i17)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 0.56/0.72 tff(2682,plain,
% 0.56/0.72 (~(i17 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2681, 2678])).
% 0.56/0.72 tff(2683,plain,
% 0.56/0.72 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[861, 2682])).
% 0.56/0.72 tff(2684,plain,
% 0.56/0.72 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[848])).
% 0.56/0.72 tff(2685,plain,
% 0.56/0.72 ((i18 = i2) <=> (i2 = i18)),
% 0.56/0.72 inference(commutativity,[status(thm)],[])).
% 0.56/0.72 tff(2686,plain,
% 0.56/0.72 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i2)),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.72 tff(2687,plain,
% 0.56/0.72 ((i18 = sk(a_1449, a_1489)) <=> (i2 = i18)),
% 0.56/0.72 inference(transitivity,[status(thm)],[2686, 2685])).
% 0.56/0.72 tff(2688,plain,
% 0.56/0.72 ((i2 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(symmetry,[status(thm)],[2687])).
% 0.56/0.72 tff(2689,plain,
% 0.56/0.72 ((~(i2 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.56/0.72 inference(monotonicity,[status(thm)],[2688])).
% 0.56/0.72 tff(2690,plain,
% 0.56/0.72 ((~(i2 = i18)) <=> (~(i2 = i18))),
% 0.56/0.72 inference(rewrite,[status(thm)],[])).
% 0.56/0.72 tff(2691,axiom,(~(i2 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp808')).
% 0.56/0.72 tff(2692,plain,
% 0.56/0.72 (~(i2 = i18)),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 0.56/0.72 tff(2693,plain,
% 0.56/0.72 (~(i18 = sk(a_1449, a_1489))),
% 0.56/0.72 inference(modus_ponens,[status(thm)],[2692, 2689])).
% 0.56/0.72 tff(2694,plain,
% 0.56/0.72 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.56/0.72 inference(unit_resolution,[status(thm)],[840, 2693])).
% 0.56/0.72 tff(2695,plain,
% 0.56/0.72 (select(store(a_1426, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[827])).
% 0.56/0.73 tff(2696,plain,
% 0.56/0.73 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[816])).
% 0.56/0.73 tff(2697,plain,
% 0.56/0.73 ((i20 = i2) <=> (i2 = i20)),
% 0.56/0.73 inference(commutativity,[status(thm)],[])).
% 0.56/0.73 tff(2698,plain,
% 0.56/0.73 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i2)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.73 tff(2699,plain,
% 0.56/0.73 ((i20 = sk(a_1449, a_1489)) <=> (i2 = i20)),
% 0.56/0.73 inference(transitivity,[status(thm)],[2698, 2697])).
% 0.56/0.73 tff(2700,plain,
% 0.56/0.73 ((i2 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2699])).
% 0.56/0.73 tff(2701,plain,
% 0.56/0.73 ((~(i2 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2700])).
% 0.56/0.73 tff(2702,plain,
% 0.56/0.73 ((~(i2 = i20)) <=> (~(i2 = i20))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2703,axiom,(~(i2 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp806')).
% 0.56/0.73 tff(2704,plain,
% 0.56/0.73 (~(i2 = i20)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 0.56/0.73 tff(2705,plain,
% 0.56/0.73 (~(i20 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2704, 2701])).
% 0.56/0.73 tff(2706,plain,
% 0.56/0.73 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[808, 2705])).
% 0.56/0.73 tff(2707,plain,
% 0.56/0.73 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[795])).
% 0.56/0.73 tff(2708,plain,
% 0.56/0.73 ((i21 = i2) <=> (i2 = i21)),
% 0.56/0.73 inference(commutativity,[status(thm)],[])).
% 0.56/0.73 tff(2709,plain,
% 0.56/0.73 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i2)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.73 tff(2710,plain,
% 0.56/0.73 ((i21 = sk(a_1449, a_1489)) <=> (i2 = i21)),
% 0.56/0.73 inference(transitivity,[status(thm)],[2709, 2708])).
% 0.56/0.73 tff(2711,plain,
% 0.56/0.73 ((i2 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2710])).
% 0.56/0.73 tff(2712,plain,
% 0.56/0.73 ((~(i2 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2711])).
% 0.56/0.73 tff(2713,plain,
% 0.56/0.73 ((~(i2 = i21)) <=> (~(i2 = i21))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2714,axiom,(~(i2 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp805')).
% 0.56/0.73 tff(2715,plain,
% 0.56/0.73 (~(i2 = i21)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 0.56/0.73 tff(2716,plain,
% 0.56/0.73 (~(i21 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2715, 2712])).
% 0.56/0.73 tff(2717,plain,
% 0.56/0.73 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[787, 2716])).
% 0.56/0.73 tff(2718,plain,
% 0.56/0.73 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[774])).
% 0.56/0.73 tff(2719,plain,
% 0.56/0.73 ((i22 = i2) <=> (i2 = i22)),
% 0.56/0.73 inference(commutativity,[status(thm)],[])).
% 0.56/0.73 tff(2720,plain,
% 0.56/0.73 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i2)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.73 tff(2721,plain,
% 0.56/0.73 ((i22 = sk(a_1449, a_1489)) <=> (i2 = i22)),
% 0.56/0.73 inference(transitivity,[status(thm)],[2720, 2719])).
% 0.56/0.73 tff(2722,plain,
% 0.56/0.73 ((i2 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2721])).
% 0.56/0.73 tff(2723,plain,
% 0.56/0.73 ((~(i2 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2722])).
% 0.56/0.73 tff(2724,plain,
% 0.56/0.73 ((~(i2 = i22)) <=> (~(i2 = i22))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2725,axiom,(~(i2 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp804')).
% 0.56/0.73 tff(2726,plain,
% 0.56/0.73 (~(i2 = i22)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 0.56/0.73 tff(2727,plain,
% 0.56/0.73 (~(i22 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2726, 2723])).
% 0.56/0.73 tff(2728,plain,
% 0.56/0.73 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[766, 2727])).
% 0.56/0.73 tff(2729,plain,
% 0.56/0.73 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[753])).
% 0.56/0.73 tff(2730,plain,
% 0.56/0.73 ((i23 = i2) <=> (i2 = i23)),
% 0.56/0.73 inference(commutativity,[status(thm)],[])).
% 0.56/0.73 tff(2731,plain,
% 0.56/0.73 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i2)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.73 tff(2732,plain,
% 0.56/0.73 ((i23 = sk(a_1449, a_1489)) <=> (i2 = i23)),
% 0.56/0.73 inference(transitivity,[status(thm)],[2731, 2730])).
% 0.56/0.73 tff(2733,plain,
% 0.56/0.73 ((i2 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2732])).
% 0.56/0.73 tff(2734,plain,
% 0.56/0.73 ((~(i2 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2733])).
% 0.56/0.73 tff(2735,plain,
% 0.56/0.73 ((~(i2 = i23)) <=> (~(i2 = i23))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2736,axiom,(~(i2 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp803')).
% 0.56/0.73 tff(2737,plain,
% 0.56/0.73 (~(i2 = i23)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 0.56/0.73 tff(2738,plain,
% 0.56/0.73 (~(i23 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2737, 2734])).
% 0.56/0.73 tff(2739,plain,
% 0.56/0.73 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[745, 2738])).
% 0.56/0.73 tff(2740,plain,
% 0.56/0.73 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[732])).
% 0.56/0.73 tff(2741,plain,
% 0.56/0.73 ((i24 = i2) <=> (i2 = i24)),
% 0.56/0.73 inference(commutativity,[status(thm)],[])).
% 0.56/0.73 tff(2742,plain,
% 0.56/0.73 ((i24 = sk(a_1449, a_1489)) <=> (i24 = i2)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2559])).
% 0.56/0.73 tff(2743,plain,
% 0.56/0.73 ((i24 = sk(a_1449, a_1489)) <=> (i2 = i24)),
% 0.56/0.73 inference(transitivity,[status(thm)],[2742, 2741])).
% 0.56/0.73 tff(2744,plain,
% 0.56/0.73 ((i2 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2743])).
% 0.56/0.73 tff(2745,plain,
% 0.56/0.73 ((~(i2 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2744])).
% 0.56/0.73 tff(2746,plain,
% 0.56/0.73 ((~(i2 = i24)) <=> (~(i2 = i24))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2747,axiom,(~(i2 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp802')).
% 0.56/0.73 tff(2748,plain,
% 0.56/0.73 (~(i2 = i24)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 0.56/0.73 tff(2749,plain,
% 0.56/0.73 (~(i24 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2748, 2745])).
% 0.56/0.73 tff(2750,plain,
% 0.56/0.73 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[724, 2749])).
% 0.56/0.73 tff(2751,plain,
% 0.56/0.73 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[711])).
% 0.56/0.73 tff(2752,plain,
% 0.56/0.73 ((i2 = i25) <=> (sk(a_1449, a_1489) = i25)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2558])).
% 0.56/0.73 tff(2753,plain,
% 0.56/0.73 ((i2 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(transitivity,[status(thm)],[2752, 2043])).
% 0.56/0.73 tff(2754,plain,
% 0.56/0.73 ((~(i2 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2753])).
% 0.56/0.73 tff(2755,plain,
% 0.56/0.73 ((~(i2 = i25)) <=> (~(i2 = i25))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2756,axiom,(~(i2 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp801')).
% 0.56/0.73 tff(2757,plain,
% 0.56/0.73 (~(i2 = i25)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 0.56/0.73 tff(2758,plain,
% 0.56/0.73 (~(i25 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2757, 2754])).
% 0.56/0.73 tff(2759,plain,
% 0.56/0.73 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[703, 2758])).
% 0.56/0.73 tff(2760,plain,
% 0.56/0.73 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[690])).
% 0.56/0.73 tff(2761,assumption,(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2762,plain,
% 0.56/0.73 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[669])).
% 0.56/0.73 tff(2763,plain,
% 0.56/0.73 (select(store(a_1435, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[648])).
% 0.56/0.73 tff(2764,plain,
% 0.56/0.73 (select(store(a_1436, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[637])).
% 0.56/0.73 tff(2765,plain,
% 0.56/0.73 (e_1491 = e_1492),
% 0.56/0.73 inference(transitivity,[status(thm)],[4, 310, 309, 308, 557, 288, 559, 269, 561, 250, 923, 231, 925, 212, 927, 193, 1103, 174, 1859, 155, 2025, 136, 2027, 117, 110, 2764, 1478, 2763, 2031, 2762, 2761, 2760, 2759, 2751, 2750, 2740, 2739, 2729, 2728, 2718, 2717, 2707, 2706, 2696, 820, 2695, 2694, 2684, 2683, 2673, 2672, 2662, 1252, 2661, 2660, 2650, 2649, 2639, 2638, 2628, 2627, 2617, 2616, 2606, 2377, 2605, 2604, 2594, 2593, 2583, 2582, 2572, 2412, 2571, 2418, 2570, 2429, 2569, 2567, 2565, 2562, 2487, 2557, 2485, 2554, 2483, 2551, 2548, 2545, 2205, 2542, 2202, 2539, 1476, 1473, 2201, 961, 2011, 895, 1085, 892, 911, 889, 333, 886, 81, 79, 39, 26, 13])).
% 0.56/0.73 tff(2766,plain,
% 0.56/0.73 ($false),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[314, 2765])).
% 0.56/0.73 tff(2767,plain,((~(i2 = sk(a_1449, a_1489))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.73 tff(2768,plain,
% 0.56/0.73 (~(i2 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[2767, 2536, 332, 910, 2188, 496, 2450, 1050, 2008, 1478, 110, 2007, 1846, 2006, 927, 898, 896, 530, 2004, 320, 55, 1479, 1477, 1474, 80, 1083, 27])).
% 0.56/0.73 tff(2769,plain,
% 0.56/0.73 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[1066, 33, 2768])).
% 0.56/0.73 tff(2770,plain,
% 0.56/0.73 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[1563, 33, 2005])).
% 0.56/0.73 tff(2771,assumption,(i25 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.56/0.73 tff(2772,plain,
% 0.56/0.73 (sk(a_1449, a_1489) = i25),
% 0.56/0.73 inference(symmetry,[status(thm)],[2771])).
% 0.56/0.73 tff(2773,plain,
% 0.56/0.73 ((i17 = sk(a_1449, a_1489)) <=> (i17 = i25)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.73 tff(2774,plain,
% 0.56/0.73 ((i17 = i25) <=> (i17 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2773])).
% 0.56/0.73 tff(2775,plain,
% 0.56/0.73 ((~(i17 = i25)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2774])).
% 0.56/0.73 tff(2776,plain,
% 0.56/0.73 ((~(i17 = i25)) <=> (~(i17 = i25))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2777,axiom,(~(i17 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp351')).
% 0.56/0.73 tff(2778,plain,
% 0.56/0.73 (~(i17 = i25)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 0.56/0.73 tff(2779,plain,
% 0.56/0.73 (~(i17 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2778, 2775])).
% 0.56/0.73 tff(2780,assumption,(~(i32 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2781,plain,
% 0.56/0.73 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[608, 2780])).
% 0.56/0.73 tff(2782,plain,
% 0.56/0.73 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2781])).
% 0.56/0.73 tff(2783,assumption,(~(i31 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2784,plain,
% 0.56/0.73 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[620, 2783])).
% 0.56/0.73 tff(2785,plain,
% 0.56/0.73 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2784])).
% 0.56/0.73 tff(2786,plain,
% 0.56/0.73 (~(i30 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 898, 896, 530, 559, 557, 309])).
% 0.56/0.73 tff(2787,plain,
% 0.56/0.73 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[128, 33, 2786])).
% 0.56/0.73 tff(2788,plain,
% 0.56/0.73 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2787])).
% 0.56/0.73 tff(2789,assumption,(~(i26 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2790,plain,
% 0.56/0.73 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[682, 2789])).
% 0.56/0.73 tff(2791,plain,
% 0.56/0.73 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2790])).
% 0.56/0.73 tff(2792,plain,
% 0.56/0.73 (select(store(store(a_1432, i24, e24), i25, e25), i25) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[689, 2771])).
% 0.56/0.73 tff(2793,plain,
% 0.56/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1432, i24, e24), i25, e25), i25) = e25)),
% 0.56/0.73 inference(quant_inst,[status(thm)],[])).
% 0.56/0.73 tff(2794,plain,
% 0.56/0.73 (select(store(store(a_1432, i24, e24), i25, e25), i25) = e25),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[2793, 97])).
% 0.56/0.73 tff(2795,plain,
% 0.56/0.73 (e25 = select(store(store(a_1432, i24, e24), i25, e25), i25)),
% 0.56/0.73 inference(symmetry,[status(thm)],[2794])).
% 0.56/0.73 tff(2796,plain,
% 0.56/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1452, i11, e11), i25, e25), i25) = e25)),
% 0.56/0.73 inference(quant_inst,[status(thm)],[])).
% 0.56/0.73 tff(2797,plain,
% 0.56/0.73 (select(store(store(a_1452, i11, e11), i25, e25), i25) = e25),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[2796, 97])).
% 0.56/0.73 tff(2798,plain,
% 0.56/0.73 ((a_1453 = store(a_1452, i11, e11)) <=> (a_1453 = store(a_1452, i11, e11))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2799,axiom,(a_1453 = store(a_1452, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp43')).
% 0.56/0.73 tff(2800,plain,
% 0.56/0.73 (a_1453 = store(a_1452, i11, e11)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 0.56/0.73 tff(2801,plain,
% 0.56/0.73 (store(a_1452, i11, e11) = a_1453),
% 0.56/0.73 inference(symmetry,[status(thm)],[2800])).
% 0.56/0.73 tff(2802,plain,
% 0.56/0.73 (store(store(a_1452, i11, e11), i25, e25) = store(a_1453, i25, e25)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2801])).
% 0.56/0.73 tff(2803,plain,
% 0.56/0.73 (store(a_1453, i25, e25) = store(store(a_1452, i11, e11), i25, e25)),
% 0.56/0.73 inference(symmetry,[status(thm)],[2802])).
% 0.56/0.73 tff(2804,plain,
% 0.56/0.73 (select(store(a_1453, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1452, i11, e11), i25, e25), i25)),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2803, 2772])).
% 0.56/0.73 tff(2805,plain,
% 0.56/0.73 (select(store(a_1453, i25, e25), sk(a_1449, a_1489)) = e_1491),
% 0.56/0.73 inference(transitivity,[status(thm)],[2804, 2797, 2795, 2792, 2791, 669, 2466, 648, 2030, 637, 2029, 116, 2788, 135, 2785, 154, 2782, 173, 1104, 192, 928, 211, 1493, 230, 1492, 249, 1491, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.56/0.73 tff(2806,plain,
% 0.56/0.73 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[389, 2786])).
% 0.56/0.73 tff(2807,plain,
% 0.56/0.73 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2806])).
% 0.56/0.73 tff(2808,assumption,(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2809,plain,
% 0.56/0.73 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2808])).
% 0.56/0.73 tff(2810,assumption,(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.73 tff(2811,plain,
% 0.56/0.73 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.56/0.73 inference(symmetry,[status(thm)],[2810])).
% 0.56/0.73 tff(2812,plain,
% 0.56/0.73 ((i8 = i25) <=> (i8 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2771])).
% 0.56/0.73 tff(2813,plain,
% 0.56/0.73 ((~(i8 = i25)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.56/0.73 inference(monotonicity,[status(thm)],[2812])).
% 0.56/0.73 tff(2814,plain,
% 0.56/0.73 ((~(i8 = i25)) <=> (~(i8 = i25))),
% 0.56/0.73 inference(rewrite,[status(thm)],[])).
% 0.56/0.73 tff(2815,axiom,(~(i8 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp594')).
% 0.56/0.73 tff(2816,plain,
% 0.56/0.73 (~(i8 = i25)),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2815, 2814])).
% 0.56/0.73 tff(2817,plain,
% 0.56/0.73 (~(i8 = sk(a_1449, a_1489))),
% 0.56/0.73 inference(modus_ponens,[status(thm)],[2816, 2813])).
% 0.56/0.73 tff(2818,plain,
% 0.56/0.73 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.56/0.73 inference(unit_resolution,[status(thm)],[1582, 2817])).
% 0.56/0.73 tff(2819,plain,
% 0.56/0.73 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2818])).
% 0.56/0.74 tff(2820,plain,
% 0.56/0.74 ((i22 = sk(a_1449, a_1489)) <=> (i22 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2821,plain,
% 0.56/0.74 ((i22 = i25) <=> (i22 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2820])).
% 0.56/0.74 tff(2822,plain,
% 0.56/0.74 ((~(i22 = i25)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2821])).
% 0.56/0.74 tff(2823,plain,
% 0.56/0.74 ((~(i22 = i25)) <=> (~(i22 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2824,axiom,(~(i22 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp251')).
% 0.56/0.74 tff(2825,plain,
% 0.56/0.74 (~(i22 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 0.56/0.74 tff(2826,plain,
% 0.56/0.74 (~(i22 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2825, 2822])).
% 0.56/0.74 tff(2827,plain,
% 0.56/0.74 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1601, 2826])).
% 0.56/0.74 tff(2828,plain,
% 0.56/0.74 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2827])).
% 0.56/0.74 tff(2829,plain,
% 0.56/0.74 ((i10 = sk(a_1449, a_1489)) <=> (i10 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2830,plain,
% 0.56/0.74 ((i10 = i25) <=> (i10 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2829])).
% 0.56/0.74 tff(2831,plain,
% 0.56/0.74 ((~(i10 = i25)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2830])).
% 0.56/0.74 tff(2832,plain,
% 0.56/0.74 ((~(i10 = i25)) <=> (~(i10 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2833,axiom,(~(i10 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp533')).
% 0.56/0.74 tff(2834,plain,
% 0.56/0.74 (~(i10 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 0.56/0.74 tff(2835,plain,
% 0.56/0.74 (~(i10 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2834, 2831])).
% 0.56/0.74 tff(2836,plain,
% 0.56/0.74 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1620, 2835])).
% 0.56/0.74 tff(2837,plain,
% 0.56/0.74 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2836])).
% 0.56/0.74 tff(2838,plain,
% 0.56/0.74 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2839,plain,
% 0.56/0.74 ((i21 = i25) <=> (i21 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2838])).
% 0.56/0.74 tff(2840,plain,
% 0.56/0.74 ((~(i21 = i25)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2839])).
% 0.56/0.74 tff(2841,plain,
% 0.56/0.74 ((~(i21 = i25)) <=> (~(i21 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2842,axiom,(~(i21 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp269')).
% 0.56/0.74 tff(2843,plain,
% 0.56/0.74 (~(i21 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 0.56/0.74 tff(2844,plain,
% 0.56/0.74 (~(i21 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2843, 2840])).
% 0.56/0.74 tff(2845,plain,
% 0.56/0.74 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1658, 2844])).
% 0.56/0.74 tff(2846,plain,
% 0.56/0.74 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2845])).
% 0.56/0.74 tff(2847,plain,
% 0.56/0.74 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1676, 33, 2789])).
% 0.56/0.74 tff(2848,plain,
% 0.56/0.74 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2847])).
% 0.56/0.74 tff(2849,plain,
% 0.56/0.74 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2850,plain,
% 0.56/0.74 ((i23 = i25) <=> (i23 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2849])).
% 0.56/0.74 tff(2851,plain,
% 0.56/0.74 ((~(i23 = i25)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2850])).
% 0.56/0.74 tff(2852,plain,
% 0.56/0.74 ((~(i23 = i25)) <=> (~(i23 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2853,axiom,(~(i23 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp234')).
% 0.56/0.74 tff(2854,plain,
% 0.56/0.74 (~(i23 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 0.56/0.74 tff(2855,plain,
% 0.56/0.74 (~(i23 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2854, 2851])).
% 0.56/0.74 tff(2856,plain,
% 0.56/0.74 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1696, 2855])).
% 0.56/0.74 tff(2857,plain,
% 0.56/0.74 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2856])).
% 0.56/0.74 tff(2858,plain,
% 0.56/0.74 ((i20 = sk(a_1449, a_1489)) <=> (i20 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2859,plain,
% 0.56/0.74 ((i20 = i25) <=> (i20 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2858])).
% 0.56/0.74 tff(2860,plain,
% 0.56/0.74 ((~(i20 = i25)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2859])).
% 0.56/0.74 tff(2861,plain,
% 0.56/0.74 ((~(i20 = i25)) <=> (~(i20 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2862,axiom,(~(i20 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp288')).
% 0.56/0.74 tff(2863,plain,
% 0.56/0.74 (~(i20 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 0.56/0.74 tff(2864,plain,
% 0.56/0.74 (~(i20 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2863, 2860])).
% 0.56/0.74 tff(2865,plain,
% 0.56/0.74 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1726, 2864])).
% 0.56/0.74 tff(2866,plain,
% 0.56/0.74 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2865])).
% 0.56/0.74 tff(2867,plain,
% 0.56/0.74 ((i12 = sk(a_1449, a_1489)) <=> (i12 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2868,plain,
% 0.56/0.74 ((i12 = i25) <=> (i12 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2867])).
% 0.56/0.74 tff(2869,plain,
% 0.56/0.74 ((~(i12 = i25)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2868])).
% 0.56/0.74 tff(2870,plain,
% 0.56/0.74 ((~(i12 = i25)) <=> (~(i12 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2871,axiom,(~(i12 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp476')).
% 0.56/0.74 tff(2872,plain,
% 0.56/0.74 (~(i12 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 0.56/0.74 tff(2873,plain,
% 0.56/0.74 (~(i12 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2872, 2869])).
% 0.56/0.74 tff(2874,plain,
% 0.56/0.74 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1756, 2873])).
% 0.56/0.74 tff(2875,plain,
% 0.56/0.74 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2874])).
% 0.56/0.74 tff(2876,plain,
% 0.56/0.74 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2877,plain,
% 0.56/0.74 ((i13 = i25) <=> (i13 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2876])).
% 0.56/0.74 tff(2878,plain,
% 0.56/0.74 ((~(i13 = i25)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2877])).
% 0.56/0.74 tff(2879,plain,
% 0.56/0.74 ((~(i13 = i25)) <=> (~(i13 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2880,axiom,(~(i13 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp449')).
% 0.56/0.74 tff(2881,plain,
% 0.56/0.74 (~(i13 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 0.56/0.74 tff(2882,plain,
% 0.56/0.74 (~(i13 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2881, 2878])).
% 0.56/0.74 tff(2883,plain,
% 0.56/0.74 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1775, 2882])).
% 0.56/0.74 tff(2884,plain,
% 0.56/0.74 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2883])).
% 0.56/0.74 tff(2885,plain,
% 0.56/0.74 (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1793, 33, 2783])).
% 0.56/0.74 tff(2886,plain,
% 0.56/0.74 (select(store(a_1459, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2885])).
% 0.56/0.74 tff(2887,plain,
% 0.56/0.74 ((i18 = sk(a_1449, a_1489)) <=> (i18 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2888,plain,
% 0.56/0.74 ((i18 = i25) <=> (i18 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2887])).
% 0.56/0.74 tff(2889,plain,
% 0.56/0.74 ((~(i18 = i25)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2888])).
% 0.56/0.74 tff(2890,plain,
% 0.56/0.74 ((~(i18 = i25)) <=> (~(i18 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2891,axiom,(~(i18 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp329')).
% 0.56/0.74 tff(2892,plain,
% 0.56/0.74 (~(i18 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 0.56/0.74 tff(2893,plain,
% 0.56/0.74 (~(i18 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2892, 2889])).
% 0.56/0.74 tff(2894,plain,
% 0.56/0.74 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1824, 2893])).
% 0.56/0.74 tff(2895,plain,
% 0.56/0.74 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2894])).
% 0.56/0.74 tff(2896,plain,
% 0.56/0.74 ((i6 = sk(a_1449, a_1489)) <=> (i6 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2897,plain,
% 0.56/0.74 ((i6 = i25) <=> (i6 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2896])).
% 0.56/0.74 tff(2898,plain,
% 0.56/0.74 ((~(i6 = i25)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2897])).
% 0.56/0.74 tff(2899,plain,
% 0.56/0.74 ((~(i6 = i25)) <=> (~(i6 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2900,axiom,(~(i6 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp659')).
% 0.56/0.74 tff(2901,plain,
% 0.56/0.74 (~(i6 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 0.56/0.74 tff(2902,plain,
% 0.56/0.74 (~(i6 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2901, 2898])).
% 0.56/0.74 tff(2903,plain,
% 0.56/0.74 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[1842, 2902])).
% 0.56/0.74 tff(2904,plain,
% 0.56/0.74 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2903])).
% 0.56/0.74 tff(2905,plain,
% 0.56/0.74 (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[1507])).
% 0.56/0.74 tff(2906,plain,
% 0.56/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1449, a_1489)) | (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1449, a_1489)) | (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2907,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1449, a_1489)) | (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(quant_inst,[status(thm)],[])).
% 0.56/0.74 tff(2908,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1449, a_1489)) | (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 0.56/0.74 tff(2909,plain,
% 0.56/0.74 (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[2908, 33, 2780])).
% 0.56/0.74 tff(2910,plain,
% 0.56/0.74 (select(store(a_1455, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2909])).
% 0.56/0.74 tff(2911,plain,
% 0.56/0.74 ((a_1455 = store(a_1454, i17, e17)) <=> (a_1455 = store(a_1454, i17, e17))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2912,axiom,(a_1455 = store(a_1454, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp45')).
% 0.56/0.74 tff(2913,plain,
% 0.56/0.74 (a_1455 = store(a_1454, i17, e17)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 0.56/0.74 tff(2914,plain,
% 0.56/0.74 (store(a_1454, i17, e17) = a_1455),
% 0.56/0.74 inference(symmetry,[status(thm)],[2913])).
% 0.56/0.74 tff(2915,plain,
% 0.56/0.74 (store(store(a_1454, i17, e17), i7, e7) = store(a_1455, i7, e7)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2914])).
% 0.56/0.74 tff(2916,plain,
% 0.56/0.74 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2915])).
% 0.56/0.74 tff(2917,plain,
% 0.56/0.74 ((i7 = sk(a_1449, a_1489)) <=> (i7 = i25)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2772])).
% 0.56/0.74 tff(2918,plain,
% 0.56/0.74 ((i7 = i25) <=> (i7 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2917])).
% 0.56/0.74 tff(2919,plain,
% 0.56/0.74 ((~(i7 = i25)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2918])).
% 0.56/0.74 tff(2920,plain,
% 0.56/0.74 ((~(i7 = i25)) <=> (~(i7 = i25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2921,axiom,(~(i7 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp626')).
% 0.56/0.74 tff(2922,plain,
% 0.56/0.74 (~(i7 = i25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 0.56/0.74 tff(2923,plain,
% 0.56/0.74 (~(i7 = sk(a_1449, a_1489))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2922, 2919])).
% 0.56/0.74 tff(2924,plain,
% 0.56/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1449, a_1489)) | (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2925,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(quant_inst,[status(thm)],[])).
% 0.56/0.74 tff(2926,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1449, a_1489)) | (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 0.56/0.74 tff(2927,plain,
% 0.56/0.74 ((i7 = sk(a_1449, a_1489)) | (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[2926, 33])).
% 0.56/0.74 tff(2928,plain,
% 0.56/0.74 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[2927, 2923])).
% 0.56/0.74 tff(2929,plain,
% 0.56/0.74 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2928])).
% 0.56/0.74 tff(2930,plain,
% 0.56/0.74 ((a_1454 = store(a_1453, i25, e25)) <=> (a_1454 = store(a_1453, i25, e25))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2931,axiom,(a_1454 = store(a_1453, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp44')).
% 0.56/0.74 tff(2932,plain,
% 0.56/0.74 (a_1454 = store(a_1453, i25, e25)),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 0.56/0.74 tff(2933,plain,
% 0.56/0.74 (store(a_1453, i25, e25) = a_1454),
% 0.56/0.74 inference(symmetry,[status(thm)],[2932])).
% 0.56/0.74 tff(2934,plain,
% 0.56/0.74 (store(store(a_1453, i25, e25), i17, e17) = store(a_1454, i17, e17)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2933])).
% 0.56/0.74 tff(2935,plain,
% 0.56/0.74 (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2934])).
% 0.56/0.74 tff(2936,plain,
% 0.56/0.74 (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = e_1492),
% 0.56/0.74 inference(transitivity,[status(thm)],[2935, 2929, 2916, 2910, 2905, 2904, 1832, 2895, 1813, 1807, 1802, 2886, 1783, 2884, 1764, 2875, 1745, 1739, 1734, 2866, 1715, 1709, 1704, 2857, 1685, 2848, 1666, 2846, 1647, 2526, 1628, 2837, 1609, 2828, 1590, 2819, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2807, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.56/0.74 tff(2937,plain,
% 0.56/0.74 ((select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2936, 2805])).
% 0.56/0.74 tff(2938,plain,
% 0.56/0.74 ((select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.56/0.74 inference(transitivity,[status(thm)],[2937, 1])).
% 0.56/0.74 tff(2939,plain,
% 0.56/0.74 ((e_1491 = e_1492) <=> (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(symmetry,[status(thm)],[2938])).
% 0.56/0.74 tff(2940,plain,
% 0.56/0.74 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(monotonicity,[status(thm)],[2939])).
% 0.56/0.74 tff(2941,plain,
% 0.56/0.74 (~(select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[314, 2940])).
% 0.56/0.74 tff(2942,plain,
% 0.56/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1449, a_1489)) | (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(rewrite,[status(thm)],[])).
% 0.56/0.74 tff(2943,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))))),
% 0.56/0.74 inference(quant_inst,[status(thm)],[])).
% 0.56/0.74 tff(2944,plain,
% 0.56/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1449, a_1489)) | (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 0.56/0.74 tff(2945,plain,
% 0.56/0.74 ((i17 = sk(a_1449, a_1489)) | (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489)))),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[2944, 33])).
% 0.56/0.74 tff(2946,plain,
% 0.56/0.74 ($false),
% 0.56/0.74 inference(unit_resolution,[status(thm)],[2945, 2941, 2779])).
% 0.56/0.74 tff(2947,plain,((~(i25 = sk(a_1449, a_1489))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i26 = sk(a_1449, a_1489)) | (i27 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.75 tff(2948,plain,
% 0.56/0.75 (~(i25 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[2947, 2770, 110, 2006, 927, 2004, 320, 55, 2535, 2769, 1050, 2450, 496, 2449, 2189, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 1845, 528, 2001, 884, 897, 1478, 1480])).
% 0.56/0.75 tff(2949,assumption,(~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))), introduced(assumption)).
% 0.56/0.75 tff(2950,plain,
% 0.56/0.75 ($false),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[1676, 33, 2789, 2949])).
% 0.56/0.75 tff(2951,plain,((select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))) | (i26 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.75 tff(2952,plain,
% 0.56/0.75 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[2951, 2535])).
% 0.56/0.75 tff(2953,assumption,(~(select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489)))), introduced(assumption)).
% 0.56/0.75 tff(2954,plain,
% 0.56/0.75 ($false),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[1376, 33, 2203, 2953])).
% 0.56/0.75 tff(2955,plain,((select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))) | (i9 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.75 tff(2956,plain,
% 0.56/0.75 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[2955, 2188])).
% 0.56/0.75 tff(2957,plain,
% 0.56/0.75 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[703, 2948])).
% 0.56/0.75 tff(2958,assumption,(i8 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.56/0.75 tff(2959,plain,
% 0.56/0.75 (select(store(store(a_1471, i22, e22), i8, e8), i8) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[1570, 2958])).
% 0.56/0.75 tff(2960,plain,
% 0.56/0.75 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1471, i22, e22), i8, e8), i8) = e8)),
% 0.56/0.75 inference(quant_inst,[status(thm)],[])).
% 0.56/0.75 tff(2961,plain,
% 0.56/0.75 (select(store(store(a_1471, i22, e22), i8, e8), i8) = e8),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[2960, 97])).
% 0.56/0.75 tff(2962,plain,
% 0.56/0.75 (e8 = select(store(store(a_1471, i22, e22), i8, e8), i8)),
% 0.56/0.75 inference(symmetry,[status(thm)],[2961])).
% 0.56/0.75 tff(2963,plain,
% 0.56/0.75 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1415, i7, e7), i8, e8), i8) = e8)),
% 0.56/0.75 inference(quant_inst,[status(thm)],[])).
% 0.56/0.75 tff(2964,plain,
% 0.56/0.75 (select(store(store(a_1415, i7, e7), i8, e8), i8) = e8),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[2963, 97])).
% 0.56/0.75 tff(2965,plain,
% 0.56/0.75 (sk(a_1449, a_1489) = i8),
% 0.56/0.75 inference(symmetry,[status(thm)],[2958])).
% 0.56/0.75 tff(2966,plain,
% 0.56/0.75 (store(a_1416, i8, e8) = store(store(a_1415, i7, e7), i8, e8)),
% 0.56/0.75 inference(symmetry,[status(thm)],[1384])).
% 0.56/0.75 tff(2967,plain,
% 0.56/0.75 (select(store(a_1416, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), i8)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2966, 2965])).
% 0.56/0.75 tff(2968,assumption,(select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.75 tff(2969,plain,
% 0.56/0.75 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2022])).
% 0.56/0.75 tff(2970,plain,
% 0.56/0.75 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = e_1492),
% 0.56/0.75 inference(transitivity,[status(thm)],[2969, 2968, 2967, 2964, 2962, 2959, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2011, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.56/0.75 tff(2971,plain,
% 0.56/0.75 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[2761])).
% 0.56/0.75 tff(2972,assumption,(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.75 tff(2973,plain,
% 0.56/0.75 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[2972])).
% 0.56/0.75 tff(2974,plain,
% 0.56/0.75 ((i8 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(2975,plain,
% 0.56/0.75 ((i8 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[2974, 2053])).
% 0.56/0.75 tff(2976,plain,
% 0.56/0.75 ((~(i8 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2975])).
% 0.56/0.75 tff(2977,plain,
% 0.56/0.75 ((~(i8 = i24)) <=> (~(i8 = i24))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(2978,axiom,(~(i8 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp595')).
% 0.56/0.75 tff(2979,plain,
% 0.56/0.75 (~(i8 = i24)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 0.56/0.75 tff(2980,plain,
% 0.56/0.75 (~(i24 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2979, 2976])).
% 0.56/0.75 tff(2981,plain,
% 0.56/0.75 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[724, 2980])).
% 0.56/0.75 tff(2982,plain,
% 0.56/0.75 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[2981])).
% 0.56/0.75 tff(2983,plain,
% 0.56/0.75 ((i8 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(2984,plain,
% 0.56/0.75 ((i8 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[2983, 2063])).
% 0.56/0.75 tff(2985,plain,
% 0.56/0.75 ((~(i8 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2984])).
% 0.56/0.75 tff(2986,plain,
% 0.56/0.75 ((~(i8 = i23)) <=> (~(i8 = i23))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(2987,axiom,(~(i8 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp596')).
% 0.56/0.75 tff(2988,plain,
% 0.56/0.75 (~(i8 = i23)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 0.56/0.75 tff(2989,plain,
% 0.56/0.75 (~(i23 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2988, 2985])).
% 0.56/0.75 tff(2990,plain,
% 0.56/0.75 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[744, 33, 2989])).
% 0.56/0.75 tff(2991,plain,
% 0.56/0.75 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[2990])).
% 0.56/0.75 tff(2992,plain,
% 0.56/0.75 ((i8 = i22) <=> (sk(a_1449, a_1489) = i22)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(2993,plain,
% 0.56/0.75 ((i8 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[2992, 2073])).
% 0.56/0.75 tff(2994,plain,
% 0.56/0.75 ((~(i8 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2993])).
% 0.56/0.75 tff(2995,plain,
% 0.56/0.75 ((~(i8 = i22)) <=> (~(i8 = i22))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(2996,axiom,(~(i8 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp597')).
% 0.56/0.75 tff(2997,plain,
% 0.56/0.75 (~(i8 = i22)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2996, 2995])).
% 0.56/0.75 tff(2998,plain,
% 0.56/0.75 (~(i22 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[2997, 2994])).
% 0.56/0.75 tff(2999,plain,
% 0.56/0.75 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[765, 33, 2998])).
% 0.56/0.75 tff(3000,plain,
% 0.56/0.75 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[2999])).
% 0.56/0.75 tff(3001,plain,
% 0.56/0.75 ((i8 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(3002,plain,
% 0.56/0.75 ((i8 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[3001, 2083])).
% 0.56/0.75 tff(3003,plain,
% 0.56/0.75 ((~(i8 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[3002])).
% 0.56/0.75 tff(3004,plain,
% 0.56/0.75 ((~(i8 = i21)) <=> (~(i8 = i21))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(3005,axiom,(~(i8 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp598')).
% 0.56/0.75 tff(3006,plain,
% 0.56/0.75 (~(i8 = i21)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 0.56/0.75 tff(3007,plain,
% 0.56/0.75 (~(i21 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3006, 3003])).
% 0.56/0.75 tff(3008,plain,
% 0.56/0.75 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[786, 33, 3007])).
% 0.56/0.75 tff(3009,plain,
% 0.56/0.75 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[3008])).
% 0.56/0.75 tff(3010,plain,
% 0.56/0.75 ((i8 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(3011,plain,
% 0.56/0.75 ((i8 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[3010, 2093])).
% 0.56/0.75 tff(3012,plain,
% 0.56/0.75 ((~(i8 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[3011])).
% 0.56/0.75 tff(3013,plain,
% 0.56/0.75 ((~(i8 = i20)) <=> (~(i8 = i20))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(3014,axiom,(~(i8 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp599')).
% 0.56/0.75 tff(3015,plain,
% 0.56/0.75 (~(i8 = i20)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 0.56/0.75 tff(3016,plain,
% 0.56/0.75 (~(i20 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3015, 3012])).
% 0.56/0.75 tff(3017,plain,
% 0.56/0.75 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[807, 33, 3016])).
% 0.56/0.75 tff(3018,plain,
% 0.56/0.75 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[3017])).
% 0.56/0.75 tff(3019,plain,
% 0.56/0.75 ((i8 = i18) <=> (sk(a_1449, a_1489) = i18)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(3020,plain,
% 0.56/0.75 ((i8 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[3019, 2103])).
% 0.56/0.75 tff(3021,plain,
% 0.56/0.75 ((~(i8 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[3020])).
% 0.56/0.75 tff(3022,plain,
% 0.56/0.75 ((~(i8 = i18)) <=> (~(i8 = i18))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(3023,axiom,(~(i8 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp601')).
% 0.56/0.75 tff(3024,plain,
% 0.56/0.75 (~(i8 = i18)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 0.56/0.75 tff(3025,plain,
% 0.56/0.75 (~(i18 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3024, 3021])).
% 0.56/0.75 tff(3026,plain,
% 0.56/0.75 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[839, 33, 3025])).
% 0.56/0.75 tff(3027,plain,
% 0.56/0.75 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[3026])).
% 0.56/0.75 tff(3028,plain,
% 0.56/0.75 ((i8 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(3029,plain,
% 0.56/0.75 ((i8 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[3028, 2113])).
% 0.56/0.75 tff(3030,plain,
% 0.56/0.75 ((~(i8 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[3029])).
% 0.56/0.75 tff(3031,plain,
% 0.56/0.75 ((~(i8 = i17)) <=> (~(i8 = i17))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(3032,axiom,(~(i8 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp602')).
% 0.56/0.75 tff(3033,plain,
% 0.56/0.75 (~(i8 = i17)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3032, 3031])).
% 0.56/0.75 tff(3034,plain,
% 0.56/0.75 (~(i17 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3033, 3030])).
% 0.56/0.75 tff(3035,plain,
% 0.56/0.75 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.56/0.75 inference(unit_resolution,[status(thm)],[860, 33, 3034])).
% 0.56/0.75 tff(3036,plain,
% 0.56/0.75 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.56/0.75 inference(symmetry,[status(thm)],[3035])).
% 0.56/0.75 tff(3037,plain,
% 0.56/0.75 ((i8 = i16) <=> (sk(a_1449, a_1489) = i16)),
% 0.56/0.75 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.75 tff(3038,plain,
% 0.56/0.75 ((i8 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.56/0.75 inference(transitivity,[status(thm)],[3037, 2123])).
% 0.56/0.75 tff(3039,plain,
% 0.56/0.75 ((~(i8 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.56/0.75 inference(monotonicity,[status(thm)],[3038])).
% 0.56/0.75 tff(3040,plain,
% 0.56/0.75 ((~(i8 = i16)) <=> (~(i8 = i16))),
% 0.56/0.75 inference(rewrite,[status(thm)],[])).
% 0.56/0.75 tff(3041,axiom,(~(i8 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp603')).
% 0.56/0.75 tff(3042,plain,
% 0.56/0.75 (~(i8 = i16)),
% 0.56/0.75 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 0.56/0.75 tff(3043,plain,
% 0.56/0.75 (~(i16 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3042, 3039])).
% 0.56/0.76 tff(3044,plain,
% 0.56/0.76 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[877, 33, 3043])).
% 0.56/0.76 tff(3045,plain,
% 0.56/0.76 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3044])).
% 0.56/0.76 tff(3046,plain,
% 0.56/0.76 ((i8 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.76 tff(3047,plain,
% 0.56/0.76 ((i8 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3046, 2133])).
% 0.56/0.76 tff(3048,plain,
% 0.56/0.76 ((~(i8 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3047])).
% 0.56/0.76 tff(3049,plain,
% 0.56/0.76 ((~(i8 = i14)) <=> (~(i8 = i14))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3050,axiom,(~(i8 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp605')).
% 0.56/0.76 tff(3051,plain,
% 0.56/0.76 (~(i8 = i14)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 0.56/0.76 tff(3052,plain,
% 0.56/0.76 (~(i14 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3051, 3048])).
% 0.56/0.76 tff(3053,plain,
% 0.56/0.76 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1271, 33, 3052])).
% 0.56/0.76 tff(3054,plain,
% 0.56/0.76 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3053])).
% 0.56/0.76 tff(3055,plain,
% 0.56/0.76 ((i8 = i13) <=> (sk(a_1449, a_1489) = i13)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.76 tff(3056,plain,
% 0.56/0.76 ((i8 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3055, 2143])).
% 0.56/0.76 tff(3057,plain,
% 0.56/0.76 ((~(i8 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3056])).
% 0.56/0.76 tff(3058,plain,
% 0.56/0.76 ((~(i8 = i13)) <=> (~(i8 = i13))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3059,axiom,(~(i8 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp606')).
% 0.56/0.76 tff(3060,plain,
% 0.56/0.76 (~(i8 = i13)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3059, 3058])).
% 0.56/0.76 tff(3061,plain,
% 0.56/0.76 (~(i13 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3060, 3057])).
% 0.56/0.76 tff(3062,plain,
% 0.56/0.76 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1292, 33, 3061])).
% 0.56/0.76 tff(3063,plain,
% 0.56/0.76 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3062])).
% 0.56/0.76 tff(3064,plain,
% 0.56/0.76 ((i8 = i12) <=> (sk(a_1449, a_1489) = i12)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.76 tff(3065,plain,
% 0.56/0.76 ((i8 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3064, 2153])).
% 0.56/0.76 tff(3066,plain,
% 0.56/0.76 ((~(i8 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3065])).
% 0.56/0.76 tff(3067,plain,
% 0.56/0.76 ((~(i8 = i12)) <=> (~(i8 = i12))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3068,axiom,(~(i8 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp607')).
% 0.56/0.76 tff(3069,plain,
% 0.56/0.76 (~(i8 = i12)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 0.56/0.76 tff(3070,plain,
% 0.56/0.76 (~(i12 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3069, 3066])).
% 0.56/0.76 tff(3071,plain,
% 0.56/0.76 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1313, 33, 3070])).
% 0.56/0.76 tff(3072,plain,
% 0.56/0.76 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3071])).
% 0.56/0.76 tff(3073,plain,
% 0.56/0.76 ((i8 = i11) <=> (sk(a_1449, a_1489) = i11)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.76 tff(3074,plain,
% 0.56/0.76 ((i8 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3073, 2163])).
% 0.56/0.76 tff(3075,plain,
% 0.56/0.76 ((~(i8 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3074])).
% 0.56/0.76 tff(3076,plain,
% 0.56/0.76 ((~(i8 = i11)) <=> (~(i8 = i11))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3077,axiom,(~(i8 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp608')).
% 0.56/0.76 tff(3078,plain,
% 0.56/0.76 (~(i8 = i11)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 0.56/0.76 tff(3079,plain,
% 0.56/0.76 (~(i11 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3078, 3075])).
% 0.56/0.76 tff(3080,plain,
% 0.56/0.76 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1334, 33, 3079])).
% 0.56/0.76 tff(3081,plain,
% 0.56/0.76 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3080])).
% 0.56/0.76 tff(3082,plain,
% 0.56/0.76 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = e_1491),
% 0.56/0.76 inference(transitivity,[status(thm)],[1343, 3081, 1322, 3072, 1301, 3063, 1280, 3054, 1259, 1253, 1248, 3045, 869, 3036, 848, 3027, 827, 821, 816, 3018, 795, 3009, 774, 3000, 753, 2991, 732, 2982, 711, 2973, 690, 2971, 669, 2032, 648, 2030, 637, 2029, 116, 2028, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.56/0.76 tff(3083,plain,
% 0.56/0.76 ((select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3082, 2970])).
% 0.56/0.76 tff(3084,plain,
% 0.56/0.76 ((e_1491 = e_1492) <=> (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3083])).
% 0.56/0.76 tff(3085,plain,
% 0.56/0.76 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3084])).
% 0.56/0.76 tff(3086,plain,
% 0.56/0.76 (~(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[314, 3085])).
% 0.56/0.76 tff(3087,plain,
% 0.56/0.76 ((i8 = i10) <=> (sk(a_1449, a_1489) = i10)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[2958])).
% 0.56/0.76 tff(3088,plain,
% 0.56/0.76 ((i8 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3087, 2178])).
% 0.56/0.76 tff(3089,plain,
% 0.56/0.76 ((~(i8 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3088])).
% 0.56/0.76 tff(3090,plain,
% 0.56/0.76 ((~(i8 = i10)) <=> (~(i8 = i10))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3091,axiom,(~(i8 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp609')).
% 0.56/0.76 tff(3092,plain,
% 0.56/0.76 (~(i8 = i10)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 0.56/0.76 tff(3093,plain,
% 0.56/0.76 (~(i10 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3092, 3089])).
% 0.56/0.76 tff(3094,plain,
% 0.56/0.76 ($false),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1355, 33, 3093, 3086])).
% 0.56/0.76 tff(3095,plain,((~(i8 = sk(a_1449, a_1489))) | (~(select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.76 tff(3096,plain,
% 0.56/0.76 (~(i8 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[3095, 2957, 2536, 2769, 1050, 2450, 496, 2449, 2189, 2002, 1475, 1481, 910, 332, 80, 2770, 2956, 2008, 1478, 110, 2007, 1846, 2006, 927, 898, 896, 530, 2004, 320, 55, 1083, 27])).
% 0.56/0.76 tff(3097,plain,
% 0.56/0.76 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[1581, 33, 3096])).
% 0.56/0.76 tff(3098,assumption,(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.76 tff(3099,plain,
% 0.56/0.76 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3098])).
% 0.56/0.76 tff(3100,assumption,(~(i25 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.56/0.76 tff(3101,plain,
% 0.56/0.76 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[703, 3100])).
% 0.56/0.76 tff(3102,plain,
% 0.56/0.76 ((i23 = i22) <=> (i22 = i23)),
% 0.56/0.76 inference(commutativity,[status(thm)],[])).
% 0.56/0.76 tff(3103,assumption,(i22 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.56/0.76 tff(3104,plain,
% 0.56/0.76 (sk(a_1449, a_1489) = i22),
% 0.56/0.76 inference(symmetry,[status(thm)],[3103])).
% 0.56/0.76 tff(3105,plain,
% 0.56/0.76 ((i23 = sk(a_1449, a_1489)) <=> (i23 = i22)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3104])).
% 0.56/0.76 tff(3106,plain,
% 0.56/0.76 ((i23 = sk(a_1449, a_1489)) <=> (i22 = i23)),
% 0.56/0.76 inference(transitivity,[status(thm)],[3105, 3102])).
% 0.56/0.76 tff(3107,plain,
% 0.56/0.76 ((i22 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3106])).
% 0.56/0.76 tff(3108,plain,
% 0.56/0.76 ((~(i22 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3107])).
% 0.56/0.76 tff(3109,plain,
% 0.56/0.76 ((~(i22 = i23)) <=> (~(i22 = i23))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3110,axiom,(~(i22 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp253')).
% 0.56/0.76 tff(3111,plain,
% 0.56/0.76 (~(i22 = i23)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 0.56/0.76 tff(3112,plain,
% 0.56/0.76 (~(i23 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3111, 3108])).
% 0.56/0.76 tff(3113,plain,
% 0.56/0.76 (select(store(store(a_1470, i10, e10), i22, e22), i22) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[1589, 3103])).
% 0.56/0.76 tff(3114,plain,
% 0.56/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1470, i10, e10), i22, e22), i22) = e22)),
% 0.56/0.76 inference(quant_inst,[status(thm)],[])).
% 0.56/0.76 tff(3115,plain,
% 0.56/0.76 (select(store(store(a_1470, i10, e10), i22, e22), i22) = e22),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[3114, 97])).
% 0.56/0.76 tff(3116,plain,
% 0.56/0.76 (e22 = select(store(store(a_1470, i10, e10), i22, e22), i22)),
% 0.56/0.76 inference(symmetry,[status(thm)],[3115])).
% 0.56/0.76 tff(3117,plain,
% 0.56/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1429, i21, e21), i22, e22), i22) = e22)),
% 0.56/0.76 inference(quant_inst,[status(thm)],[])).
% 0.56/0.76 tff(3118,plain,
% 0.56/0.76 (select(store(store(a_1429, i21, e21), i22, e22), i22) = e22),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[3117, 97])).
% 0.56/0.76 tff(3119,plain,
% 0.56/0.76 (store(a_1430, i22, e22) = store(store(a_1429, i21, e21), i22, e22)),
% 0.56/0.76 inference(symmetry,[status(thm)],[752])).
% 0.56/0.76 tff(3120,plain,
% 0.56/0.76 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), i22)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3119, 3104])).
% 0.56/0.76 tff(3121,plain,
% 0.56/0.76 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = e_1492),
% 0.56/0.76 inference(transitivity,[status(thm)],[3120, 3118, 3116, 3113, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.56/0.76 tff(3122,plain,
% 0.56/0.76 ((i22 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3103])).
% 0.56/0.76 tff(3123,plain,
% 0.56/0.76 ((i22 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(transitivity,[status(thm)],[3122, 2053])).
% 0.56/0.76 tff(3124,plain,
% 0.56/0.76 ((~(i22 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.56/0.76 inference(monotonicity,[status(thm)],[3123])).
% 0.56/0.76 tff(3125,plain,
% 0.56/0.76 ((~(i22 = i24)) <=> (~(i22 = i24))),
% 0.56/0.76 inference(rewrite,[status(thm)],[])).
% 0.56/0.76 tff(3126,axiom,(~(i22 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp252')).
% 0.56/0.76 tff(3127,plain,
% 0.56/0.76 (~(i22 = i24)),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 0.56/0.76 tff(3128,plain,
% 0.56/0.76 (~(i24 = sk(a_1449, a_1489))),
% 0.56/0.76 inference(modus_ponens,[status(thm)],[3127, 3124])).
% 0.56/0.76 tff(3129,plain,
% 0.56/0.76 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.56/0.76 inference(unit_resolution,[status(thm)],[724, 3128])).
% 0.56/0.76 tff(3130,plain,
% 0.56/0.76 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.56/0.76 inference(symmetry,[status(thm)],[3129])).
% 0.56/0.76 tff(3131,plain,
% 0.56/0.76 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = e_1491),
% 0.56/0.76 inference(transitivity,[status(thm)],[732, 3130, 711, 2973, 690, 2971, 669, 2032, 648, 2030, 637, 2029, 116, 2465, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.62/0.77 tff(3132,plain,
% 0.62/0.77 ((select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3131, 3121])).
% 0.62/0.77 tff(3133,plain,
% 0.62/0.77 ((e_1491 = e_1492) <=> (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3132])).
% 0.62/0.77 tff(3134,plain,
% 0.62/0.77 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3133])).
% 0.62/0.77 tff(3135,plain,
% 0.62/0.77 (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[314, 3134])).
% 0.62/0.77 tff(3136,plain,
% 0.62/0.77 ($false),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[745, 3135, 3112])).
% 0.62/0.77 tff(3137,plain,((~(i22 = sk(a_1449, a_1489))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.77 tff(3138,plain,
% 0.62/0.77 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70, 3101, 2761, 2008, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309])).
% 0.62/0.77 tff(3139,plain,
% 0.62/0.77 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1600, 33, 3138])).
% 0.62/0.77 tff(3140,plain,
% 0.62/0.77 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3139])).
% 0.62/0.77 tff(3141,assumption,(i24 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.77 tff(3142,plain,
% 0.62/0.77 ((i10 = i24) <=> (i10 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3143,plain,
% 0.62/0.77 ((~(i10 = i24)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3142])).
% 0.62/0.77 tff(3144,plain,
% 0.62/0.77 ((~(i10 = i24)) <=> (~(i10 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3145,axiom,(~(i10 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp534')).
% 0.62/0.77 tff(3146,plain,
% 0.62/0.77 (~(i10 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 0.62/0.77 tff(3147,plain,
% 0.62/0.77 (~(i10 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3146, 3143])).
% 0.62/0.77 tff(3148,plain,
% 0.62/0.77 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1620, 3147])).
% 0.62/0.77 tff(3149,plain,
% 0.62/0.77 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3148])).
% 0.62/0.77 tff(3150,plain,
% 0.62/0.77 ((i21 = i24) <=> (i21 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3151,plain,
% 0.62/0.77 ((~(i21 = i24)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3150])).
% 0.62/0.77 tff(3152,plain,
% 0.62/0.77 ((~(i21 = i24)) <=> (~(i21 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3153,axiom,(~(i21 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp270')).
% 0.62/0.77 tff(3154,plain,
% 0.62/0.77 (~(i21 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 0.62/0.77 tff(3155,plain,
% 0.62/0.77 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3154, 3151])).
% 0.62/0.77 tff(3156,plain,
% 0.62/0.77 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1657, 33, 3155])).
% 0.62/0.77 tff(3157,plain,
% 0.62/0.77 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3156])).
% 0.62/0.77 tff(3158,assumption,(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.77 tff(3159,plain,
% 0.62/0.77 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3158])).
% 0.62/0.77 tff(3160,plain,
% 0.62/0.77 ((i23 = i24) <=> (i23 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3161,plain,
% 0.62/0.77 ((~(i23 = i24)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3160])).
% 0.62/0.77 tff(3162,plain,
% 0.62/0.77 ((~(i23 = i24)) <=> (~(i23 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3163,axiom,(~(i23 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp235')).
% 0.62/0.77 tff(3164,plain,
% 0.62/0.77 (~(i23 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 0.62/0.77 tff(3165,plain,
% 0.62/0.77 (~(i23 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3164, 3161])).
% 0.62/0.77 tff(3166,plain,
% 0.62/0.77 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1696, 3165])).
% 0.62/0.77 tff(3167,plain,
% 0.62/0.77 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3166])).
% 0.62/0.77 tff(3168,plain,
% 0.62/0.77 ((i20 = i24) <=> (i20 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3169,plain,
% 0.62/0.77 ((~(i20 = i24)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3168])).
% 0.62/0.77 tff(3170,plain,
% 0.62/0.77 ((~(i20 = i24)) <=> (~(i20 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3171,axiom,(~(i20 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp289')).
% 0.62/0.77 tff(3172,plain,
% 0.62/0.77 (~(i20 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 0.62/0.77 tff(3173,plain,
% 0.62/0.77 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3172, 3169])).
% 0.62/0.77 tff(3174,plain,
% 0.62/0.77 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1725, 33, 3173])).
% 0.62/0.77 tff(3175,plain,
% 0.62/0.77 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3174])).
% 0.62/0.77 tff(3176,plain,
% 0.62/0.77 ((i12 = i24) <=> (i12 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3177,plain,
% 0.62/0.77 ((~(i12 = i24)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3176])).
% 0.62/0.77 tff(3178,plain,
% 0.62/0.77 ((~(i12 = i24)) <=> (~(i12 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3179,axiom,(~(i12 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp477')).
% 0.62/0.77 tff(3180,plain,
% 0.62/0.77 (~(i12 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 0.62/0.77 tff(3181,plain,
% 0.62/0.77 (~(i12 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3180, 3177])).
% 0.62/0.77 tff(3182,plain,
% 0.62/0.77 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1755, 33, 3181])).
% 0.62/0.77 tff(3183,plain,
% 0.62/0.77 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3182])).
% 0.62/0.77 tff(3184,plain,
% 0.62/0.77 ((i13 = i24) <=> (i13 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3185,plain,
% 0.62/0.77 ((~(i13 = i24)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3184])).
% 0.62/0.77 tff(3186,plain,
% 0.62/0.77 ((~(i13 = i24)) <=> (~(i13 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3187,axiom,(~(i13 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp450')).
% 0.62/0.77 tff(3188,plain,
% 0.62/0.77 (~(i13 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 0.62/0.77 tff(3189,plain,
% 0.62/0.77 (~(i13 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3188, 3185])).
% 0.62/0.77 tff(3190,plain,
% 0.62/0.77 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1774, 33, 3189])).
% 0.62/0.77 tff(3191,plain,
% 0.62/0.77 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3190])).
% 0.62/0.77 tff(3192,plain,
% 0.62/0.77 ((i18 = i24) <=> (i18 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3193,plain,
% 0.62/0.77 ((~(i18 = i24)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3192])).
% 0.62/0.77 tff(3194,plain,
% 0.62/0.77 ((~(i18 = i24)) <=> (~(i18 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3195,axiom,(~(i18 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp330')).
% 0.62/0.77 tff(3196,plain,
% 0.62/0.77 (~(i18 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 0.62/0.77 tff(3197,plain,
% 0.62/0.77 (~(i18 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3196, 3193])).
% 0.62/0.77 tff(3198,plain,
% 0.62/0.77 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1823, 33, 3197])).
% 0.62/0.77 tff(3199,plain,
% 0.62/0.77 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3198])).
% 0.62/0.77 tff(3200,plain,
% 0.62/0.77 ((i6 = i24) <=> (i6 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3201,plain,
% 0.62/0.77 ((~(i6 = i24)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3200])).
% 0.62/0.77 tff(3202,plain,
% 0.62/0.77 ((~(i6 = i24)) <=> (~(i6 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3203,axiom,(~(i6 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp660')).
% 0.62/0.77 tff(3204,plain,
% 0.62/0.77 (~(i6 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 0.62/0.77 tff(3205,plain,
% 0.62/0.77 (~(i6 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3204, 3201])).
% 0.62/0.77 tff(3206,plain,
% 0.62/0.77 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[1841, 33, 3205])).
% 0.62/0.77 tff(3207,plain,
% 0.62/0.77 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3206])).
% 0.62/0.77 tff(3208,plain,
% 0.62/0.77 ((i7 = i24) <=> (i7 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3209,plain,
% 0.62/0.77 ((~(i7 = i24)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3208])).
% 0.62/0.77 tff(3210,plain,
% 0.62/0.77 ((~(i7 = i24)) <=> (~(i7 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3211,axiom,(~(i7 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp627')).
% 0.62/0.77 tff(3212,plain,
% 0.62/0.77 (~(i7 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 0.62/0.77 tff(3213,plain,
% 0.62/0.77 (~(i7 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3212, 3209])).
% 0.62/0.77 tff(3214,plain,
% 0.62/0.77 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[2926, 33, 3213])).
% 0.62/0.77 tff(3215,plain,
% 0.62/0.77 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3214])).
% 0.62/0.77 tff(3216,plain,
% 0.62/0.77 ((i17 = i24) <=> (i17 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3217,plain,
% 0.62/0.77 ((~(i17 = i24)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3216])).
% 0.62/0.77 tff(3218,plain,
% 0.62/0.77 ((~(i17 = i24)) <=> (~(i17 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3219,axiom,(~(i17 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp352')).
% 0.62/0.77 tff(3220,plain,
% 0.62/0.77 (~(i17 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 0.62/0.77 tff(3221,plain,
% 0.62/0.77 (~(i17 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3220, 3217])).
% 0.62/0.77 tff(3222,plain,
% 0.62/0.77 (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[2944, 33, 3221])).
% 0.62/0.77 tff(3223,plain,
% 0.62/0.77 (select(store(a_1453, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3222])).
% 0.62/0.77 tff(3224,plain,
% 0.62/0.77 (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[2802])).
% 0.62/0.77 tff(3225,plain,
% 0.62/0.77 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1449, a_1489)) | (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1449, a_1489)) | (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3226,plain,
% 0.62/0.77 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1449, a_1489)) | (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))))),
% 0.62/0.77 inference(quant_inst,[status(thm)],[])).
% 0.62/0.77 tff(3227,plain,
% 0.62/0.77 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1449, a_1489)) | (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489)))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 0.62/0.77 tff(3228,plain,
% 0.62/0.77 (select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))),
% 0.62/0.77 inference(unit_resolution,[status(thm)],[3227, 33, 3100])).
% 0.62/0.77 tff(3229,plain,
% 0.62/0.77 (select(store(a_1452, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1452, i11, e11), i25, e25), sk(a_1449, a_1489))),
% 0.62/0.77 inference(symmetry,[status(thm)],[3228])).
% 0.62/0.77 tff(3230,plain,
% 0.62/0.77 ((a_1452 = store(a_1451, i24, e24)) <=> (a_1452 = store(a_1451, i24, e24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3231,axiom,(a_1452 = store(a_1451, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp42')).
% 0.62/0.77 tff(3232,plain,
% 0.62/0.77 (a_1452 = store(a_1451, i24, e24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 0.62/0.77 tff(3233,plain,
% 0.62/0.77 (store(a_1451, i24, e24) = a_1452),
% 0.62/0.77 inference(symmetry,[status(thm)],[3232])).
% 0.62/0.77 tff(3234,plain,
% 0.62/0.77 (store(store(a_1451, i24, e24), i11, e11) = store(a_1452, i11, e11)),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3233])).
% 0.62/0.77 tff(3235,plain,
% 0.62/0.77 (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3234])).
% 0.62/0.77 tff(3236,plain,
% 0.62/0.77 ((i11 = i24) <=> (i11 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3141])).
% 0.62/0.77 tff(3237,plain,
% 0.62/0.77 ((~(i11 = i24)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[3236])).
% 0.62/0.77 tff(3238,plain,
% 0.62/0.77 ((~(i11 = i24)) <=> (~(i11 = i24))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(3239,axiom,(~(i11 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp505')).
% 0.62/0.77 tff(3240,plain,
% 0.62/0.77 (~(i11 = i24)),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 0.62/0.77 tff(3241,plain,
% 0.62/0.77 (~(i11 = sk(a_1449, a_1489))),
% 0.62/0.77 inference(modus_ponens,[status(thm)],[3240, 3237])).
% 0.62/0.77 tff(3242,plain,
% 0.62/0.77 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1449, a_1489)) | (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1449, a_1489)) | (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))))),
% 0.62/0.78 inference(rewrite,[status(thm)],[])).
% 0.62/0.78 tff(3243,plain,
% 0.62/0.78 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1449, a_1489)) | (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))))),
% 0.62/0.78 inference(quant_inst,[status(thm)],[])).
% 0.62/0.78 tff(3244,plain,
% 0.62/0.78 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1449, a_1489)) | (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489)))),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 0.62/0.78 tff(3245,plain,
% 0.62/0.78 (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[3244, 33, 3241])).
% 0.62/0.78 tff(3246,plain,
% 0.62/0.78 (select(store(a_1451, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489))),
% 0.62/0.78 inference(symmetry,[status(thm)],[3245])).
% 0.62/0.78 tff(3247,plain,
% 0.62/0.78 ((a_1451 = store(a_1450, i14, e14)) <=> (a_1451 = store(a_1450, i14, e14))),
% 0.62/0.78 inference(rewrite,[status(thm)],[])).
% 0.62/0.78 tff(3248,axiom,(a_1451 = store(a_1450, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp41')).
% 0.62/0.78 tff(3249,plain,
% 0.62/0.78 (a_1451 = store(a_1450, i14, e14)),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 0.62/0.78 tff(3250,plain,
% 0.62/0.78 (store(a_1450, i14, e14) = a_1451),
% 0.62/0.78 inference(symmetry,[status(thm)],[3249])).
% 0.62/0.78 tff(3251,plain,
% 0.62/0.78 (store(store(a_1450, i14, e14), i24, e24) = store(a_1451, i24, e24)),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3250])).
% 0.62/0.78 tff(3252,plain,
% 0.62/0.78 (select(store(store(a_1450, i14, e14), i24, e24), i24) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3251, 3141])).
% 0.62/0.78 tff(3253,plain,
% 0.62/0.78 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1450, i14, e14), i24, e24), i24) = e24)),
% 0.62/0.78 inference(quant_inst,[status(thm)],[])).
% 0.62/0.78 tff(3254,plain,
% 0.62/0.78 (select(store(store(a_1450, i14, e14), i24, e24), i24) = e24),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[3253, 97])).
% 0.62/0.78 tff(3255,plain,
% 0.62/0.78 (e24 = select(store(store(a_1450, i14, e14), i24, e24), i24)),
% 0.62/0.78 inference(symmetry,[status(thm)],[3254])).
% 0.62/0.78 tff(3256,plain,
% 0.62/0.78 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1431, i23, e23), i24, e24), i24) = e24)),
% 0.62/0.78 inference(quant_inst,[status(thm)],[])).
% 0.62/0.78 tff(3257,plain,
% 0.62/0.78 (select(store(store(a_1431, i23, e23), i24, e24), i24) = e24),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[3256, 97])).
% 0.62/0.78 tff(3258,plain,
% 0.62/0.78 (sk(a_1449, a_1489) = i24),
% 0.62/0.78 inference(symmetry,[status(thm)],[3141])).
% 0.62/0.78 tff(3259,plain,
% 0.62/0.78 (store(a_1432, i24, e24) = store(store(a_1431, i23, e23), i24, e24)),
% 0.62/0.78 inference(symmetry,[status(thm)],[710])).
% 0.62/0.78 tff(3260,plain,
% 0.62/0.78 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), i24)),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3259, 3258])).
% 0.62/0.78 tff(3261,plain,
% 0.62/0.78 (store(a_1433, i25, e25) = store(store(a_1432, i24, e24), i25, e25)),
% 0.62/0.78 inference(symmetry,[status(thm)],[689])).
% 0.62/0.78 tff(3262,plain,
% 0.62/0.78 (select(store(a_1433, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3261])).
% 0.62/0.78 tff(3263,plain,
% 0.62/0.78 (store(a_1434, i26, e26) = store(store(a_1433, i25, e25), i26, e26)),
% 0.62/0.78 inference(symmetry,[status(thm)],[668])).
% 0.62/0.78 tff(3264,plain,
% 0.62/0.78 (select(store(a_1434, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3263])).
% 0.62/0.78 tff(3265,plain,
% 0.62/0.78 (store(a_1435, i27, e27) = store(store(a_1434, i26, e26), i27, e27)),
% 0.62/0.78 inference(symmetry,[status(thm)],[647])).
% 0.62/0.78 tff(3266,plain,
% 0.62/0.78 (select(store(a_1435, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3265])).
% 0.62/0.78 tff(3267,plain,
% 0.62/0.78 (store(a_1436, i28, e28) = store(store(a_1435, i27, e27), i28, e28)),
% 0.62/0.78 inference(symmetry,[status(thm)],[107])).
% 0.62/0.78 tff(3268,plain,
% 0.62/0.78 (select(store(a_1436, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3267])).
% 0.62/0.78 tff(3269,plain,
% 0.62/0.78 (store(a_1437, i29, e29) = store(store(a_1436, i28, e28), i29, e29)),
% 0.62/0.78 inference(symmetry,[status(thm)],[115])).
% 0.62/0.78 tff(3270,plain,
% 0.62/0.78 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3269])).
% 0.62/0.78 tff(3271,plain,
% 0.62/0.78 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[920])).
% 0.62/0.78 tff(3272,plain,
% 0.62/0.78 (store(a_1439, i31, e31) = store(store(a_1438, i30, e30), i31, e31)),
% 0.62/0.78 inference(symmetry,[status(thm)],[153])).
% 0.62/0.78 tff(3273,plain,
% 0.62/0.78 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3272])).
% 0.62/0.78 tff(3274,plain,
% 0.62/0.78 (store(a_1440, i32, e32) = store(store(a_1439, i31, e31), i32, e32)),
% 0.62/0.78 inference(symmetry,[status(thm)],[172])).
% 0.62/0.78 tff(3275,plain,
% 0.62/0.78 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3274])).
% 0.62/0.78 tff(3276,plain,
% 0.62/0.78 (store(a_1441, i33, e33) = store(store(a_1440, i32, e32), i33, e33)),
% 0.62/0.78 inference(symmetry,[status(thm)],[191])).
% 0.62/0.78 tff(3277,plain,
% 0.62/0.78 (select(store(a_1441, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3276])).
% 0.62/0.78 tff(3278,plain,
% 0.62/0.78 (store(a_1442, i34, e34) = store(store(a_1441, i33, e33), i34, e34)),
% 0.62/0.78 inference(symmetry,[status(thm)],[210])).
% 0.62/0.78 tff(3279,plain,
% 0.62/0.78 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3278])).
% 0.62/0.78 tff(3280,plain,
% 0.62/0.78 (store(a_1443, i35, e35) = store(store(a_1442, i34, e34), i35, e35)),
% 0.62/0.78 inference(symmetry,[status(thm)],[229])).
% 0.62/0.78 tff(3281,plain,
% 0.62/0.78 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3280])).
% 0.62/0.78 tff(3282,plain,
% 0.62/0.78 (store(a_1444, i36, e36) = store(store(a_1443, i35, e35), i36, e36)),
% 0.62/0.78 inference(symmetry,[status(thm)],[248])).
% 0.62/0.78 tff(3283,plain,
% 0.62/0.78 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3282])).
% 0.62/0.78 tff(3284,plain,
% 0.62/0.78 (store(a_1445, i37, e37) = store(store(a_1444, i36, e36), i37, e37)),
% 0.62/0.78 inference(symmetry,[status(thm)],[267])).
% 0.62/0.78 tff(3285,plain,
% 0.62/0.78 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3284])).
% 0.62/0.78 tff(3286,plain,
% 0.62/0.78 (select(store(a_1446, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[509])).
% 0.62/0.78 tff(3287,plain,
% 0.62/0.78 (e_1491 = e_1492),
% 0.62/0.78 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 896, 3281, 898, 3279, 927, 3277, 1103, 3275, 2781, 3273, 2784, 3271, 2787, 3270, 110, 3268, 1478, 3266, 2008, 3264, 2761, 3262, 3101, 3260, 3257, 3255, 3252, 3246, 3235, 3229, 3224, 3223, 2935, 3215, 2916, 2910, 2905, 3207, 1832, 3199, 1813, 1807, 1802, 2886, 1783, 3191, 1764, 3183, 1745, 1739, 1734, 3175, 1715, 1709, 1704, 3167, 1685, 3159, 1666, 3157, 1647, 2526, 1628, 3149, 1609, 3140, 1590, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2807, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.62/0.78 tff(3288,plain,
% 0.62/0.78 ($false),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[314, 3287])).
% 0.62/0.78 tff(3289,plain,((~(i24 = sk(a_1449, a_1489))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i25 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i27 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.78 tff(3290,plain,
% 0.62/0.78 (~(i24 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[3289, 3097, 320, 2004, 927, 2006, 110, 1478, 2536, 2952, 2948, 2770, 2769, 1050, 2450, 496, 2449, 2189, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 55, 1845, 528, 2001, 884, 1480, 897])).
% 0.62/0.78 tff(3291,assumption,(~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))), introduced(assumption)).
% 0.62/0.78 tff(3292,plain,
% 0.62/0.78 ($false),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[1638, 33, 1480, 3291])).
% 0.62/0.78 tff(3293,plain,((select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))) | (i27 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.78 tff(3294,plain,
% 0.62/0.78 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[3293, 1480])).
% 0.62/0.78 tff(3295,plain,
% 0.62/0.78 (~(i9 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[2187, 2008, 1475, 1481, 910, 332, 80, 2002, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1083, 27])).
% 0.62/0.78 tff(3296,assumption,(i10 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.78 tff(3297,plain,
% 0.62/0.78 ((i10 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3296])).
% 0.62/0.78 tff(3298,plain,
% 0.62/0.78 ((i10 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(transitivity,[status(thm)],[3297, 2083])).
% 0.62/0.78 tff(3299,plain,
% 0.62/0.78 ((~(i10 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3298])).
% 0.62/0.78 tff(3300,plain,
% 0.62/0.78 ((~(i10 = i21)) <=> (~(i10 = i21))),
% 0.62/0.78 inference(rewrite,[status(thm)],[])).
% 0.62/0.78 tff(3301,axiom,(~(i10 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp537')).
% 0.62/0.78 tff(3302,plain,
% 0.62/0.78 (~(i10 = i21)),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3301, 3300])).
% 0.62/0.78 tff(3303,plain,
% 0.62/0.78 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3302, 3299])).
% 0.62/0.78 tff(3304,plain,
% 0.62/0.78 ((i10 = i12) <=> (sk(a_1449, a_1489) = i12)),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3296])).
% 0.62/0.78 tff(3305,plain,
% 0.62/0.78 ((i10 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(transitivity,[status(thm)],[3304, 2153])).
% 0.62/0.78 tff(3306,plain,
% 0.62/0.78 ((~(i10 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[3305])).
% 0.62/0.78 tff(3307,plain,
% 0.62/0.78 ((~(i10 = i12)) <=> (~(i10 = i12))),
% 0.62/0.78 inference(rewrite,[status(thm)],[])).
% 0.62/0.78 tff(3308,axiom,(~(i10 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp546')).
% 0.62/0.78 tff(3309,plain,
% 0.62/0.78 (~(i10 = i12)),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 0.62/0.78 tff(3310,plain,
% 0.62/0.78 (~(i12 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(modus_ponens,[status(thm)],[3309, 3306])).
% 0.62/0.78 tff(3311,plain,
% 0.62/0.78 (~(i30 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 38, 1084, 898, 896, 530, 559, 557, 309])).
% 0.62/0.78 tff(3312,plain,
% 0.62/0.78 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[389, 3311])).
% 0.62/0.78 tff(3313,plain,
% 0.62/0.78 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.78 inference(symmetry,[status(thm)],[3312])).
% 0.62/0.78 tff(3314,plain,
% 0.62/0.78 (~(i1 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[2447, 2203, 332, 80, 2008, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1479, 1477, 1474, 910, 1083, 27])).
% 0.62/0.78 tff(3315,plain,
% 0.62/0.78 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[484, 3314])).
% 0.62/0.78 tff(3316,plain,
% 0.62/0.78 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.62/0.78 inference(symmetry,[status(thm)],[3315])).
% 0.62/0.78 tff(3317,plain,
% 0.62/0.78 (select(store(a_1474, i2, e2), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[2560])).
% 0.62/0.78 tff(3318,plain,
% 0.62/0.78 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489))),
% 0.62/0.78 inference(symmetry,[status(thm)],[3317])).
% 0.62/0.78 tff(3319,plain,
% 0.62/0.78 (~(i2 = sk(a_1449, a_1489))),
% 0.62/0.78 inference(unit_resolution,[status(thm)],[2767, 2482, 332, 910, 80, 2484, 2486, 2790, 2008, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1479, 1477, 1474, 2203, 1083, 27])).
% 0.62/0.79 tff(3320,plain,
% 0.62/0.79 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1067, 3319])).
% 0.62/0.79 tff(3321,plain,
% 0.62/0.79 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3320])).
% 0.62/0.79 tff(3322,plain,
% 0.62/0.79 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[985])).
% 0.62/0.79 tff(3323,plain,
% 0.62/0.79 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3322])).
% 0.62/0.79 tff(3324,plain,
% 0.62/0.79 (store(a_1472, i8, e8) = store(store(a_1471, i22, e22), i8, e8)),
% 0.62/0.79 inference(symmetry,[status(thm)],[1570])).
% 0.62/0.79 tff(3325,plain,
% 0.62/0.79 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[3324])).
% 0.62/0.79 tff(3326,plain,
% 0.62/0.79 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3325])).
% 0.62/0.79 tff(3327,plain,
% 0.62/0.79 (~(i25 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[2947, 2810, 110, 1103, 927, 559, 557, 309, 1478, 3320, 2486, 2484, 2482, 3315, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 2780, 528, 2783, 884, 897, 2789, 1480])).
% 0.62/0.79 tff(3328,plain,
% 0.62/0.79 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[703, 3327])).
% 0.62/0.79 tff(3329,plain,
% 0.62/0.79 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[2955, 2203])).
% 0.62/0.79 tff(3330,plain,
% 0.62/0.79 (~(i8 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3095, 3329, 2810, 3320, 2486, 2484, 2482, 3315, 2204, 2002, 1475, 1481, 910, 332, 80, 3328, 2790, 2008, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1083, 27])).
% 0.62/0.79 tff(3331,plain,
% 0.62/0.79 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1582, 3330])).
% 0.62/0.79 tff(3332,plain,
% 0.62/0.79 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3331])).
% 0.62/0.79 tff(3333,plain,
% 0.62/0.79 (store(a_1471, i22, e22) = store(store(a_1470, i10, e10), i22, e22)),
% 0.62/0.79 inference(symmetry,[status(thm)],[1589])).
% 0.62/0.79 tff(3334,plain,
% 0.62/0.79 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[3333])).
% 0.62/0.79 tff(3335,plain,
% 0.62/0.79 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3334])).
% 0.62/0.79 tff(3336,plain,
% 0.62/0.79 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3137, 3331, 2810, 3320, 2486, 2484, 2482, 3315, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 3328, 2790, 2008, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309])).
% 0.62/0.79 tff(3337,plain,
% 0.62/0.79 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1600, 33, 3336])).
% 0.62/0.79 tff(3338,plain,
% 0.62/0.79 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3337])).
% 0.62/0.79 tff(3339,plain,
% 0.62/0.79 (store(a_1470, i10, e10) = store(store(a_1469, i27, e27), i10, e10)),
% 0.62/0.79 inference(symmetry,[status(thm)],[1608])).
% 0.62/0.79 tff(3340,plain,
% 0.62/0.79 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[3339])).
% 0.62/0.79 tff(3341,plain,
% 0.62/0.79 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3340])).
% 0.62/0.79 tff(3342,assumption,(~(i21 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3343,assumption,(~(i10 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3344,plain,
% 0.62/0.79 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1620, 3343])).
% 0.62/0.79 tff(3345,plain,
% 0.62/0.79 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3344])).
% 0.62/0.79 tff(3346,plain,
% 0.62/0.79 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1657, 33, 3342])).
% 0.62/0.79 tff(3347,plain,
% 0.62/0.79 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3346])).
% 0.62/0.79 tff(3348,plain,
% 0.62/0.79 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[2951, 2789])).
% 0.62/0.79 tff(3349,plain,
% 0.62/0.79 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3348])).
% 0.62/0.79 tff(3350,plain,
% 0.62/0.79 (~(i24 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3289, 2790, 557, 559, 927, 1103, 110, 1478, 309, 3348, 3331, 2810, 3320, 2486, 2484, 2482, 3315, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 3327, 2780, 528, 2783, 884, 1480, 897])).
% 0.62/0.79 tff(3351,plain,
% 0.62/0.79 (~(i1 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[2447, 2203, 332, 80, 2031, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1479, 1477, 1474, 910, 1083, 27])).
% 0.62/0.79 tff(3352,plain,
% 0.62/0.79 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[484, 3351])).
% 0.62/0.79 tff(3353,plain,
% 0.62/0.79 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3352])).
% 0.62/0.79 tff(3354,plain,
% 0.62/0.79 (~(i2 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[2767, 2482, 332, 910, 80, 2484, 2486, 2790, 2031, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1479, 1477, 1474, 2203, 1083, 27])).
% 0.62/0.79 tff(3355,plain,
% 0.62/0.79 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1067, 3354])).
% 0.62/0.79 tff(3356,plain,
% 0.62/0.79 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3355])).
% 0.62/0.79 tff(3357,assumption,(~(i8 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3358,plain,
% 0.62/0.79 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1582, 3357])).
% 0.62/0.79 tff(3359,plain,
% 0.62/0.79 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3358])).
% 0.62/0.79 tff(3360,plain,
% 0.62/0.79 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3137, 3358, 2810, 3355, 2486, 2484, 2482, 3352, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 3101, 2790, 2031, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309])).
% 0.62/0.79 tff(3361,plain,
% 0.62/0.79 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1601, 3360])).
% 0.62/0.79 tff(3362,plain,
% 0.62/0.79 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3361])).
% 0.62/0.79 tff(3363,assumption,(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3364,plain,
% 0.62/0.79 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3363])).
% 0.62/0.79 tff(3365,assumption,(~(i24 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3366,plain,
% 0.62/0.79 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[724, 3365])).
% 0.62/0.79 tff(3367,assumption,(~(i23 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3368,plain,
% 0.62/0.79 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[745, 3367])).
% 0.62/0.79 tff(3369,plain,
% 0.62/0.79 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.79 tff(3370,plain,
% 0.62/0.79 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[1601, 3369])).
% 0.62/0.79 tff(3371,plain,
% 0.62/0.79 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3370])).
% 0.62/0.79 tff(3372,assumption,(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3373,plain,
% 0.62/0.79 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3372])).
% 0.62/0.79 tff(3374,plain,
% 0.62/0.79 (store(a_1469, i27, e27) = store(store(a_1468, i21, e21), i27, e27)),
% 0.62/0.79 inference(symmetry,[status(thm)],[1627])).
% 0.62/0.79 tff(3375,plain,
% 0.62/0.79 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[3374])).
% 0.62/0.79 tff(3376,plain,
% 0.62/0.79 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3375])).
% 0.62/0.79 tff(3377,assumption,(i21 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.79 tff(3378,plain,
% 0.62/0.79 (sk(a_1449, a_1489) = i21),
% 0.62/0.79 inference(symmetry,[status(thm)],[3377])).
% 0.62/0.79 tff(3379,plain,
% 0.62/0.79 (store(a_1468, i21, e21) = store(store(a_1467, i26, e26), i21, e21)),
% 0.62/0.79 inference(symmetry,[status(thm)],[1646])).
% 0.62/0.79 tff(3380,plain,
% 0.62/0.79 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), i21)),
% 0.62/0.79 inference(monotonicity,[status(thm)],[3379, 3378])).
% 0.62/0.79 tff(3381,plain,
% 0.62/0.79 (select(store(store(a_1467, i26, e26), i21, e21), i21) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.79 inference(symmetry,[status(thm)],[3380])).
% 0.62/0.79 tff(3382,plain,
% 0.62/0.79 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1467, i26, e26), i21, e21), i21) = e21)),
% 0.62/0.79 inference(quant_inst,[status(thm)],[])).
% 0.62/0.79 tff(3383,plain,
% 0.62/0.79 (select(store(store(a_1467, i26, e26), i21, e21), i21) = e21),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3382, 97])).
% 0.62/0.79 tff(3384,plain,
% 0.62/0.79 (e21 = select(store(store(a_1467, i26, e26), i21, e21), i21)),
% 0.62/0.79 inference(symmetry,[status(thm)],[3383])).
% 0.62/0.79 tff(3385,plain,
% 0.62/0.79 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1428, i20, e20), i21, e21), i21) = e21)),
% 0.62/0.79 inference(quant_inst,[status(thm)],[])).
% 0.62/0.79 tff(3386,plain,
% 0.62/0.79 (select(store(store(a_1428, i20, e20), i21, e21), i21) = e21),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[3385, 97])).
% 0.62/0.79 tff(3387,plain,
% 0.62/0.79 (select(store(store(a_1428, i20, e20), i21, e21), i21) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.79 inference(monotonicity,[status(thm)],[773, 3377])).
% 0.62/0.79 tff(3388,plain,
% 0.62/0.79 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), i21)),
% 0.62/0.79 inference(symmetry,[status(thm)],[3387])).
% 0.62/0.79 tff(3389,plain,
% 0.62/0.79 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[765, 33, 3369])).
% 0.62/0.79 tff(3390,assumption,(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3391,assumption,(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.79 tff(3392,plain,
% 0.62/0.79 (e_1491 = e_1492),
% 0.62/0.79 inference(transitivity,[status(thm)],[4, 310, 309, 308, 557, 288, 559, 269, 561, 250, 923, 231, 925, 212, 927, 193, 1103, 174, 1859, 155, 2025, 136, 2464, 117, 110, 2764, 1478, 2763, 2031, 2762, 2761, 2760, 2972, 2751, 3391, 2740, 3390, 2729, 3389, 3388, 3386, 3384, 3381, 3364, 3376, 3373, 3341, 3371, 3335, 3099, 3326, 2811, 3323, 2809, 3318, 2487, 2557, 2485, 2554, 2483, 2551, 2481, 2545, 2479, 2542, 2013, 2539, 1874, 1473, 1515, 961, 2477, 895, 913, 892, 911, 889, 333, 886, 81, 79, 71, 26, 13])).
% 0.62/0.79 tff(3393,plain,
% 0.62/0.79 ($false),
% 0.62/0.79 inference(unit_resolution,[status(thm)],[314, 3392])).
% 0.62/0.79 tff(3394,plain,((~(i21 = sk(a_1449, a_1489))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.80 tff(3395,plain,
% 0.62/0.80 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3394, 3368, 80, 332, 910, 1084, 1481, 1475, 2002, 2204, 3352, 2482, 2484, 2486, 3355, 2810, 3358, 3344, 3363, 38, 3366, 3101, 2790, 2031, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309])).
% 0.62/0.80 tff(3396,plain,
% 0.62/0.80 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1658, 3395])).
% 0.62/0.80 tff(3397,plain,
% 0.62/0.80 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3396])).
% 0.62/0.80 tff(3398,plain,
% 0.62/0.80 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1695, 33, 3367])).
% 0.62/0.80 tff(3399,plain,
% 0.62/0.80 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3398])).
% 0.62/0.80 tff(3400,plain,
% 0.62/0.80 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1514, 1873, 2012, 2478, 2480, 2482, 2484, 2486, 2808, 2810, 3098, 3372, 3363, 70, 3391, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.80 tff(3401,plain,
% 0.62/0.80 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1658, 3400])).
% 0.62/0.80 tff(3402,plain,
% 0.62/0.80 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3401])).
% 0.62/0.80 tff(3403,assumption,(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.80 tff(3404,plain,
% 0.62/0.80 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3403])).
% 0.62/0.80 tff(3405,assumption,(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.80 tff(3406,plain,
% 0.62/0.80 (select(store(a_1464, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3405])).
% 0.62/0.80 tff(3407,assumption,(i20 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.80 tff(3408,plain,
% 0.62/0.80 (select(store(store(a_1463, i36, e36), i20, e20), i20) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[1714, 3407])).
% 0.62/0.80 tff(3409,plain,
% 0.62/0.80 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1463, i36, e36), i20, e20), i20) = e20)),
% 0.62/0.80 inference(quant_inst,[status(thm)],[])).
% 0.62/0.80 tff(3410,plain,
% 0.62/0.80 (select(store(store(a_1463, i36, e36), i20, e20), i20) = e20),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3409, 97])).
% 0.62/0.80 tff(3411,plain,
% 0.62/0.80 (e20 = select(store(store(a_1463, i36, e36), i20, e20), i20)),
% 0.62/0.80 inference(symmetry,[status(thm)],[3410])).
% 0.62/0.80 tff(3412,plain,
% 0.62/0.80 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1427, i19, e19), i20, e20), i20) = e20)),
% 0.62/0.80 inference(quant_inst,[status(thm)],[])).
% 0.62/0.80 tff(3413,plain,
% 0.62/0.80 (select(store(store(a_1427, i19, e19), i20, e20), i20) = e20),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3412, 97])).
% 0.62/0.80 tff(3414,plain,
% 0.62/0.80 (sk(a_1449, a_1489) = i20),
% 0.62/0.80 inference(symmetry,[status(thm)],[3407])).
% 0.62/0.80 tff(3415,plain,
% 0.62/0.80 (store(a_1428, i20, e20) = store(store(a_1427, i19, e19), i20, e20)),
% 0.62/0.80 inference(symmetry,[status(thm)],[794])).
% 0.62/0.80 tff(3416,plain,
% 0.62/0.80 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), i20)),
% 0.62/0.80 inference(monotonicity,[status(thm)],[3415, 3414])).
% 0.62/0.80 tff(3417,plain,
% 0.62/0.80 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[787, 3400])).
% 0.62/0.80 tff(3418,plain,
% 0.62/0.80 (store(a_1429, i21, e21) = store(store(a_1428, i20, e20), i21, e21)),
% 0.62/0.80 inference(symmetry,[status(thm)],[773])).
% 0.62/0.80 tff(3419,plain,
% 0.62/0.80 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[3418])).
% 0.62/0.80 tff(3420,plain,
% 0.62/0.80 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[3119])).
% 0.62/0.80 tff(3421,plain,
% 0.62/0.80 (store(a_1431, i23, e23) = store(store(a_1430, i22, e22), i23, e23)),
% 0.62/0.80 inference(symmetry,[status(thm)],[731])).
% 0.62/0.80 tff(3422,plain,
% 0.62/0.80 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[3421])).
% 0.62/0.80 tff(3423,plain,
% 0.62/0.80 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[3259])).
% 0.62/0.80 tff(3424,plain,
% 0.62/0.80 (e_1491 = e_1492),
% 0.62/0.80 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 561, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 1859, 3273, 2025, 3271, 2464, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 2972, 3423, 3391, 3422, 3390, 3420, 3389, 3419, 3417, 3416, 3413, 3411, 3408, 3406, 1704, 3404, 1685, 3159, 1666, 3402, 1647, 3364, 1628, 3373, 1609, 3371, 1590, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.62/0.80 tff(3425,plain,
% 0.62/0.80 ($false),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[314, 3424])).
% 0.62/0.80 tff(3426,plain,((~(i20 = sk(a_1449, a_1489))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.80 tff(3427,plain,
% 0.62/0.80 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3426, 3368, 557, 559, 530, 896, 898, 927, 1103, 2781, 2784, 110, 1478, 2031, 2790, 3101, 3366, 309, 1708, 3398, 2847, 3363, 3344, 3358, 2810, 3355, 2486, 2484, 2482, 3352, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38])).
% 0.62/0.80 tff(3428,plain,
% 0.62/0.80 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1726, 3427])).
% 0.62/0.80 tff(3429,plain,
% 0.62/0.80 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3428])).
% 0.62/0.80 tff(3430,plain,
% 0.62/0.80 (~(i30 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 912, 925, 923, 530, 559, 557, 309])).
% 0.62/0.80 tff(3431,plain,
% 0.62/0.80 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[389, 3430])).
% 0.62/0.80 tff(3432,plain,
% 0.62/0.80 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3431])).
% 0.62/0.80 tff(3433,plain,
% 0.62/0.80 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70, 2972, 2761, 2031, 1478, 110, 2784, 1859, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.80 tff(3434,plain,
% 0.62/0.80 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1601, 3433])).
% 0.62/0.80 tff(3435,plain,
% 0.62/0.80 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3434])).
% 0.62/0.80 tff(3436,plain,
% 0.62/0.80 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1514, 1873, 2012, 2478, 2480, 2482, 2484, 2486, 2808, 2810, 3098, 3372, 3363, 70, 3391, 2972, 2761, 2031, 1478, 110, 2784, 1859, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.80 tff(3437,plain,
% 0.62/0.80 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1658, 3436])).
% 0.62/0.80 tff(3438,plain,
% 0.62/0.80 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.80 inference(symmetry,[status(thm)],[3437])).
% 0.62/0.80 tff(3439,plain,
% 0.62/0.80 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 530, 923, 925, 927, 1103, 1859, 2784, 110, 1478, 2031, 2761, 2972, 3391, 309, 3405, 3403, 3158, 3363, 3372, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70])).
% 0.62/0.80 tff(3440,plain,
% 0.62/0.80 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[1726, 3439])).
% 0.62/0.80 tff(3441,plain,
% 0.62/0.81 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3440])).
% 0.62/0.81 tff(3442,assumption,(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.81 tff(3443,plain,
% 0.62/0.81 (select(store(a_1462, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3442])).
% 0.62/0.81 tff(3444,assumption,(i18 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.81 tff(3445,plain,
% 0.62/0.81 ((i12 = i18) <=> (i12 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3444])).
% 0.62/0.81 tff(3446,plain,
% 0.62/0.81 ((~(i12 = i18)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3445])).
% 0.62/0.81 tff(3447,plain,
% 0.62/0.81 ((~(i12 = i18)) <=> (~(i12 = i18))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(3448,axiom,(~(i12 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp483')).
% 0.62/0.81 tff(3449,plain,
% 0.62/0.81 (~(i12 = i18)),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 0.62/0.81 tff(3450,plain,
% 0.62/0.81 (~(i12 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3449, 3446])).
% 0.62/0.81 tff(3451,plain,
% 0.62/0.81 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[1756, 3450])).
% 0.62/0.81 tff(3452,plain,
% 0.62/0.81 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3451])).
% 0.62/0.81 tff(3453,plain,
% 0.62/0.81 (sk(a_1449, a_1489) = i18),
% 0.62/0.81 inference(symmetry,[status(thm)],[3444])).
% 0.62/0.81 tff(3454,plain,
% 0.62/0.81 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i18)),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3453])).
% 0.62/0.81 tff(3455,plain,
% 0.62/0.81 ((i13 = i18) <=> (i13 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3454])).
% 0.62/0.81 tff(3456,plain,
% 0.62/0.81 ((~(i13 = i18)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3455])).
% 0.62/0.81 tff(3457,plain,
% 0.62/0.81 ((~(i13 = i18)) <=> (~(i13 = i18))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(3458,axiom,(~(i13 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp456')).
% 0.62/0.81 tff(3459,plain,
% 0.62/0.81 (~(i13 = i18)),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3458, 3457])).
% 0.62/0.81 tff(3460,plain,
% 0.62/0.81 (~(i13 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3459, 3456])).
% 0.62/0.81 tff(3461,plain,
% 0.62/0.81 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[1775, 3460])).
% 0.62/0.81 tff(3462,plain,
% 0.62/0.81 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3461])).
% 0.62/0.81 tff(3463,plain,
% 0.62/0.81 (select(store(store(a_1457, i6, e6), i18, e18), i18) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[1812, 3444])).
% 0.62/0.81 tff(3464,plain,
% 0.62/0.81 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1457, i6, e6), i18, e18), i18) = e18)),
% 0.62/0.81 inference(quant_inst,[status(thm)],[])).
% 0.62/0.81 tff(3465,plain,
% 0.62/0.81 (select(store(store(a_1457, i6, e6), i18, e18), i18) = e18),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3464, 97])).
% 0.62/0.81 tff(3466,plain,
% 0.62/0.81 (e18 = select(store(store(a_1457, i6, e6), i18, e18), i18)),
% 0.62/0.81 inference(symmetry,[status(thm)],[3465])).
% 0.62/0.81 tff(3467,plain,
% 0.62/0.81 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1425, i17, e17), i18, e18), i18) = e18)),
% 0.62/0.81 inference(quant_inst,[status(thm)],[])).
% 0.62/0.81 tff(3468,plain,
% 0.62/0.81 (select(store(store(a_1425, i17, e17), i18, e18), i18) = e18),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3467, 97])).
% 0.62/0.81 tff(3469,plain,
% 0.62/0.81 (store(a_1426, i18, e18) = store(store(a_1425, i17, e17), i18, e18)),
% 0.62/0.81 inference(symmetry,[status(thm)],[826])).
% 0.62/0.81 tff(3470,plain,
% 0.62/0.81 (select(store(a_1426, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), i18)),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3469, 3453])).
% 0.62/0.81 tff(3471,assumption,(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.81 tff(3472,plain,
% 0.62/0.81 (store(a_1427, i19, e19) = store(store(a_1426, i18, e18), i19, e19)),
% 0.62/0.81 inference(symmetry,[status(thm)],[815])).
% 0.62/0.81 tff(3473,plain,
% 0.62/0.81 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3472])).
% 0.62/0.81 tff(3474,plain,
% 0.62/0.81 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[808, 3439])).
% 0.62/0.81 tff(3475,plain,
% 0.62/0.81 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3415])).
% 0.62/0.81 tff(3476,plain,
% 0.62/0.81 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[787, 3436])).
% 0.62/0.81 tff(3477,plain,
% 0.62/0.81 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[765, 33, 3433])).
% 0.62/0.81 tff(3478,plain,
% 0.62/0.81 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[128, 33, 3430])).
% 0.62/0.81 tff(3479,plain,
% 0.62/0.81 (e_1491 = e_1492),
% 0.62/0.81 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 1859, 3273, 2784, 3271, 3478, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 2972, 3423, 3391, 3422, 3390, 3420, 3477, 3419, 3476, 3475, 3474, 3473, 3471, 3470, 3468, 3466, 3463, 1807, 1802, 2886, 1783, 3462, 1764, 3452, 1745, 3443, 1734, 3441, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3438, 1647, 3364, 1628, 3373, 1609, 3435, 1590, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 3432, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.62/0.81 tff(3480,plain,
% 0.62/0.81 ($false),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[314, 3479])).
% 0.62/0.81 tff(3481,plain,((~(i18 = sk(a_1449, a_1489))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.81 tff(3482,plain,
% 0.62/0.81 (~(i18 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3481, 3368, 557, 559, 896, 898, 927, 1103, 2781, 110, 1478, 2031, 2790, 3101, 3366, 309, 820, 1738, 1708, 3398, 2847, 3363, 3344, 3358, 2810, 3355, 2486, 2484, 2482, 3352, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 38, 528, 2783])).
% 0.62/0.81 tff(3483,plain,
% 0.62/0.81 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[840, 3482])).
% 0.62/0.81 tff(3484,plain,
% 0.62/0.81 ((i13 = i12) <=> (i12 = i13)),
% 0.62/0.81 inference(commutativity,[status(thm)],[])).
% 0.62/0.81 tff(3485,assumption,(i12 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.81 tff(3486,plain,
% 0.62/0.81 (sk(a_1449, a_1489) = i12),
% 0.62/0.81 inference(symmetry,[status(thm)],[3485])).
% 0.62/0.81 tff(3487,plain,
% 0.62/0.81 ((i13 = sk(a_1449, a_1489)) <=> (i13 = i12)),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3486])).
% 0.62/0.81 tff(3488,plain,
% 0.62/0.81 ((i13 = sk(a_1449, a_1489)) <=> (i12 = i13)),
% 0.62/0.81 inference(transitivity,[status(thm)],[3487, 3484])).
% 0.62/0.81 tff(3489,plain,
% 0.62/0.81 ((i12 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3488])).
% 0.62/0.81 tff(3490,plain,
% 0.62/0.81 ((~(i12 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[3489])).
% 0.62/0.81 tff(3491,plain,
% 0.62/0.81 ((~(i12 = i13)) <=> (~(i12 = i13))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(3492,axiom,(~(i12 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp488')).
% 0.62/0.81 tff(3493,plain,
% 0.62/0.81 (~(i12 = i13)),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3492, 3491])).
% 0.62/0.81 tff(3494,plain,
% 0.62/0.81 (~(i13 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(modus_ponens,[status(thm)],[3493, 3490])).
% 0.62/0.81 tff(3495,plain,
% 0.62/0.81 (~(i30 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 1084, 925, 923, 561, 559, 557, 309])).
% 0.62/0.81 tff(3496,plain,
% 0.62/0.81 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[389, 3495])).
% 0.62/0.81 tff(3497,plain,
% 0.62/0.81 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3496])).
% 0.62/0.81 tff(3498,plain,
% 0.62/0.81 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 1084, 910, 332, 80, 70, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.81 tff(3499,plain,
% 0.62/0.81 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[1601, 3498])).
% 0.62/0.81 tff(3500,plain,
% 0.62/0.81 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3499])).
% 0.62/0.81 tff(3501,plain,
% 0.62/0.81 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 1084, 1514, 1873, 2012, 2478, 2480, 2482, 2484, 2486, 2808, 2810, 3098, 3372, 3363, 70, 3391, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.81 tff(3502,plain,
% 0.62/0.81 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[1658, 3501])).
% 0.62/0.81 tff(3503,plain,
% 0.62/0.81 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3502])).
% 0.62/0.81 tff(3504,plain,
% 0.62/0.81 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 2972, 3391, 309, 3405, 3403, 3158, 3363, 3372, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 1084, 910, 332, 80, 70])).
% 0.62/0.81 tff(3505,plain,
% 0.62/0.81 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[1726, 3504])).
% 0.62/0.81 tff(3506,plain,
% 0.62/0.81 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.81 inference(symmetry,[status(thm)],[3505])).
% 0.62/0.81 tff(3507,plain,
% 0.62/0.81 (select(store(store(a_1461, i13, e13), i12, e12), i12) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[1744, 3485])).
% 0.62/0.81 tff(3508,plain,
% 0.62/0.81 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1461, i13, e13), i12, e12), i12) = e12)),
% 0.62/0.81 inference(quant_inst,[status(thm)],[])).
% 0.62/0.81 tff(3509,plain,
% 0.62/0.81 (select(store(store(a_1461, i13, e13), i12, e12), i12) = e12),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[3508, 97])).
% 0.62/0.82 tff(3510,plain,
% 0.62/0.82 (e12 = select(store(store(a_1461, i13, e13), i12, e12), i12)),
% 0.62/0.82 inference(symmetry,[status(thm)],[3509])).
% 0.62/0.82 tff(3511,plain,
% 0.62/0.82 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1419, i11, e11), i12, e12), i12) = e12)),
% 0.62/0.82 inference(quant_inst,[status(thm)],[])).
% 0.62/0.82 tff(3512,plain,
% 0.62/0.82 (select(store(store(a_1419, i11, e11), i12, e12), i12) = e12),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[3511, 97])).
% 0.62/0.82 tff(3513,plain,
% 0.62/0.82 (store(a_1420, i12, e12) = store(store(a_1419, i11, e11), i12, e12)),
% 0.62/0.82 inference(symmetry,[status(thm)],[1300])).
% 0.62/0.82 tff(3514,plain,
% 0.62/0.82 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), i12)),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3513, 3486])).
% 0.62/0.82 tff(3515,plain,
% 0.62/0.82 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = e_1492),
% 0.62/0.82 inference(transitivity,[status(thm)],[3514, 3512, 3510, 3507, 3443, 1734, 3506, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3503, 1647, 3364, 1628, 3373, 1609, 3500, 1590, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 3497, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.62/0.82 tff(3516,plain,
% 0.62/0.82 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[128, 33, 3495])).
% 0.62/0.82 tff(3517,plain,
% 0.62/0.82 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3516])).
% 0.62/0.82 tff(3518,plain,
% 0.62/0.82 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3391])).
% 0.62/0.82 tff(3519,plain,
% 0.62/0.82 (select(store(a_1430, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3390])).
% 0.62/0.82 tff(3520,plain,
% 0.62/0.82 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[765, 33, 3498])).
% 0.62/0.82 tff(3521,plain,
% 0.62/0.82 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3520])).
% 0.62/0.82 tff(3522,plain,
% 0.62/0.82 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[787, 3501])).
% 0.62/0.82 tff(3523,plain,
% 0.62/0.82 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3522])).
% 0.62/0.82 tff(3524,plain,
% 0.62/0.82 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[808, 3504])).
% 0.62/0.82 tff(3525,plain,
% 0.62/0.82 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3524])).
% 0.62/0.82 tff(3526,plain,
% 0.62/0.82 (select(store(a_1426, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3471])).
% 0.62/0.82 tff(3527,assumption,(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.82 tff(3528,plain,
% 0.62/0.82 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3527])).
% 0.62/0.82 tff(3529,plain,
% 0.62/0.82 ((i12 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3485])).
% 0.62/0.82 tff(3530,plain,
% 0.62/0.82 ((i12 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(transitivity,[status(thm)],[3529, 2113])).
% 0.62/0.82 tff(3531,plain,
% 0.62/0.82 ((~(i12 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3530])).
% 0.62/0.82 tff(3532,plain,
% 0.62/0.82 ((~(i12 = i17)) <=> (~(i12 = i17))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(3533,axiom,(~(i12 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp484')).
% 0.62/0.82 tff(3534,plain,
% 0.62/0.82 (~(i12 = i17)),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 0.62/0.82 tff(3535,plain,
% 0.62/0.82 (~(i17 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3534, 3531])).
% 0.62/0.82 tff(3536,plain,
% 0.62/0.82 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[861, 3535])).
% 0.62/0.82 tff(3537,plain,
% 0.62/0.82 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3536])).
% 0.62/0.82 tff(3538,plain,
% 0.62/0.82 ((i16 = i12) <=> (i12 = i16)),
% 0.62/0.82 inference(commutativity,[status(thm)],[])).
% 0.62/0.82 tff(3539,plain,
% 0.62/0.82 ((i16 = sk(a_1449, a_1489)) <=> (i16 = i12)),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3486])).
% 0.62/0.82 tff(3540,plain,
% 0.62/0.82 ((i16 = sk(a_1449, a_1489)) <=> (i12 = i16)),
% 0.62/0.82 inference(transitivity,[status(thm)],[3539, 3538])).
% 0.62/0.82 tff(3541,plain,
% 0.62/0.82 ((i12 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3540])).
% 0.62/0.82 tff(3542,plain,
% 0.62/0.82 ((~(i12 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3541])).
% 0.62/0.82 tff(3543,plain,
% 0.62/0.82 ((~(i12 = i16)) <=> (~(i12 = i16))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(3544,axiom,(~(i12 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp485')).
% 0.62/0.82 tff(3545,plain,
% 0.62/0.82 (~(i12 = i16)),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 0.62/0.82 tff(3546,plain,
% 0.62/0.82 (~(i16 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3545, 3542])).
% 0.62/0.82 tff(3547,plain,
% 0.62/0.82 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[878, 3546])).
% 0.62/0.82 tff(3548,plain,
% 0.62/0.82 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3547])).
% 0.62/0.82 tff(3549,plain,
% 0.62/0.82 ((i14 = i12) <=> (i12 = i14)),
% 0.62/0.82 inference(commutativity,[status(thm)],[])).
% 0.62/0.82 tff(3550,plain,
% 0.62/0.82 ((i14 = sk(a_1449, a_1489)) <=> (i14 = i12)),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3486])).
% 0.62/0.82 tff(3551,plain,
% 0.62/0.82 ((i14 = sk(a_1449, a_1489)) <=> (i12 = i14)),
% 0.62/0.82 inference(transitivity,[status(thm)],[3550, 3549])).
% 0.62/0.82 tff(3552,plain,
% 0.62/0.82 ((i12 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3551])).
% 0.62/0.82 tff(3553,plain,
% 0.62/0.82 ((~(i12 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3552])).
% 0.62/0.82 tff(3554,plain,
% 0.62/0.82 ((~(i12 = i14)) <=> (~(i12 = i14))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(3555,axiom,(~(i12 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp487')).
% 0.62/0.82 tff(3556,plain,
% 0.62/0.82 (~(i12 = i14)),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3555, 3554])).
% 0.62/0.82 tff(3557,plain,
% 0.62/0.82 (~(i14 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[3556, 3553])).
% 0.62/0.82 tff(3558,plain,
% 0.62/0.82 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[1272, 3557])).
% 0.62/0.82 tff(3559,plain,
% 0.62/0.82 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3558])).
% 0.62/0.82 tff(3560,plain,
% 0.62/0.82 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = e_1491),
% 0.62/0.82 inference(transitivity,[status(thm)],[1280, 3559, 1259, 1253, 1248, 3548, 869, 3537, 848, 3528, 827, 3526, 816, 3525, 795, 3523, 774, 3521, 753, 3519, 732, 3518, 711, 2973, 690, 2971, 669, 2032, 648, 2030, 637, 2029, 116, 3517, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.62/0.82 tff(3561,plain,
% 0.62/0.82 ((select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3560, 3515])).
% 0.62/0.82 tff(3562,plain,
% 0.62/0.82 ((e_1491 = e_1492) <=> (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3561])).
% 0.62/0.82 tff(3563,plain,
% 0.62/0.82 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[3562])).
% 0.62/0.82 tff(3564,plain,
% 0.62/0.82 (~(select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))),
% 0.62/0.82 inference(modus_ponens,[status(thm)],[314, 3563])).
% 0.62/0.82 tff(3565,plain,
% 0.62/0.82 ($false),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[1293, 3564, 3494])).
% 0.62/0.82 tff(3566,plain,((~(i12 = sk(a_1449, a_1489))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.82 tff(3567,plain,
% 0.62/0.82 (~(i12 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[3566, 1738, 1708, 3398, 2847, 3363, 3344, 3358, 2810, 3355, 2486, 2484, 2482, 3352, 2204, 2002, 1475, 1481, 910, 332, 80, 38, 3483, 820, 3368, 3366, 3101, 2790, 2031, 1478, 110, 2784, 2781, 1103, 927, 898, 896, 530, 559, 557, 309, 1083])).
% 0.62/0.82 tff(3568,plain,
% 0.62/0.82 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[1756, 3567])).
% 0.62/0.82 tff(3569,plain,
% 0.62/0.82 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3568])).
% 0.62/0.82 tff(3570,plain,
% 0.62/0.82 (~(i30 = sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 70, 1084, 925, 923, 530, 559, 557, 309])).
% 0.62/0.82 tff(3571,plain,
% 0.62/0.82 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[389, 3570])).
% 0.62/0.82 tff(3572,plain,
% 0.62/0.82 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3571])).
% 0.62/0.82 tff(3573,assumption,(~(i1 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.82 tff(3574,plain,
% 0.62/0.82 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.62/0.82 inference(unit_resolution,[status(thm)],[484, 3573])).
% 0.62/0.82 tff(3575,plain,
% 0.62/0.82 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.62/0.82 inference(symmetry,[status(thm)],[3574])).
% 0.62/0.82 tff(3576,assumption,(~(i2 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.82 tff(3577,plain,
% 0.62/0.82 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1067, 3576])).
% 0.62/0.83 tff(3578,plain,
% 0.62/0.83 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3577])).
% 0.62/0.83 tff(3579,plain,
% 0.62/0.83 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3137, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 70, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.83 tff(3580,plain,
% 0.62/0.83 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1601, 3579])).
% 0.62/0.83 tff(3581,plain,
% 0.62/0.83 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3580])).
% 0.62/0.83 tff(3582,plain,
% 0.62/0.83 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 1084, 1481, 1475, 2002, 2204, 3574, 2482, 2484, 2486, 3577, 2810, 3358, 3344, 3363, 70, 3366, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.83 tff(3583,plain,
% 0.62/0.83 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1658, 3582])).
% 0.62/0.83 tff(3584,plain,
% 0.62/0.83 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3583])).
% 0.62/0.83 tff(3585,plain,
% 0.62/0.83 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 530, 923, 925, 927, 1103, 2781, 2784, 110, 1478, 2031, 2761, 3101, 3366, 309, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 70])).
% 0.62/0.83 tff(3586,plain,
% 0.62/0.83 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1726, 3585])).
% 0.62/0.83 tff(3587,plain,
% 0.62/0.83 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3586])).
% 0.62/0.83 tff(3588,plain,
% 0.62/0.83 (~(i18 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3481, 3390, 557, 559, 923, 925, 927, 1103, 2781, 110, 1478, 2031, 2761, 3101, 3366, 309, 3471, 3442, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 1084, 910, 332, 80, 70, 528, 2783])).
% 0.62/0.83 tff(3589,plain,
% 0.62/0.83 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[840, 3588])).
% 0.62/0.83 tff(3590,plain,
% 0.62/0.83 (~(i12 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3566, 3442, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 910, 332, 80, 70, 3589, 3471, 3390, 3366, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309, 1083])).
% 0.62/0.83 tff(3591,plain,
% 0.62/0.83 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1756, 3590])).
% 0.62/0.83 tff(3592,plain,
% 0.62/0.83 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3591])).
% 0.62/0.83 tff(3593,assumption,(~(i17 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3594,assumption,(~(i16 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3595,plain,
% 0.62/0.83 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3137, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.83 tff(3596,plain,
% 0.62/0.83 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1601, 3595])).
% 0.62/0.83 tff(3597,plain,
% 0.62/0.83 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3596])).
% 0.62/0.83 tff(3598,plain,
% 0.62/0.83 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1481, 1475, 2002, 2204, 3574, 2482, 2484, 2486, 3577, 2810, 3358, 3344, 3363, 70, 3366, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309])).
% 0.62/0.83 tff(3599,plain,
% 0.62/0.83 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1658, 3598])).
% 0.62/0.83 tff(3600,plain,
% 0.62/0.83 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3599])).
% 0.62/0.83 tff(3601,plain,
% 0.62/0.83 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 530, 923, 925, 927, 1103, 2781, 2784, 110, 1478, 2031, 2761, 3101, 3366, 309, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70])).
% 0.62/0.83 tff(3602,plain,
% 0.62/0.83 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1726, 3601])).
% 0.62/0.83 tff(3603,plain,
% 0.62/0.83 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3602])).
% 0.62/0.83 tff(3604,assumption,(~(i12 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3605,plain,
% 0.62/0.83 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1756, 3604])).
% 0.62/0.83 tff(3606,plain,
% 0.62/0.83 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3605])).
% 0.62/0.83 tff(3607,assumption,(~(i13 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3608,plain,
% 0.62/0.83 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1775, 3607])).
% 0.62/0.83 tff(3609,plain,
% 0.62/0.83 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3608])).
% 0.62/0.83 tff(3610,plain,
% 0.62/0.83 (~(i18 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3481, 3390, 557, 559, 923, 925, 927, 1103, 2781, 110, 1478, 2031, 2761, 3101, 3366, 309, 3471, 3442, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70, 528, 2783])).
% 0.62/0.83 tff(3611,plain,
% 0.62/0.83 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1823, 33, 3610])).
% 0.62/0.83 tff(3612,plain,
% 0.62/0.83 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3611])).
% 0.62/0.83 tff(3613,plain,
% 0.62/0.83 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[840, 3610])).
% 0.62/0.83 tff(3614,plain,
% 0.62/0.83 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[861, 3593])).
% 0.62/0.83 tff(3615,plain,
% 0.62/0.83 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[878, 3594])).
% 0.62/0.83 tff(3616,assumption,(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3617,plain,
% 0.62/0.83 ((i7 = i6) <=> (i6 = i7)),
% 0.62/0.83 inference(commutativity,[status(thm)],[])).
% 0.62/0.83 tff(3618,assumption,(i6 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.62/0.83 tff(3619,plain,
% 0.62/0.83 (sk(a_1449, a_1489) = i6),
% 0.62/0.83 inference(symmetry,[status(thm)],[3618])).
% 0.62/0.83 tff(3620,plain,
% 0.62/0.83 ((i7 = sk(a_1449, a_1489)) <=> (i7 = i6)),
% 0.62/0.83 inference(monotonicity,[status(thm)],[3619])).
% 0.62/0.83 tff(3621,plain,
% 0.62/0.83 ((i7 = sk(a_1449, a_1489)) <=> (i6 = i7)),
% 0.62/0.83 inference(transitivity,[status(thm)],[3620, 3617])).
% 0.62/0.83 tff(3622,plain,
% 0.62/0.83 ((i6 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3621])).
% 0.62/0.83 tff(3623,plain,
% 0.62/0.83 ((~(i6 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[3622])).
% 0.62/0.83 tff(3624,plain,
% 0.62/0.83 ((~(i6 = i7)) <=> (~(i6 = i7))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(3625,axiom,(~(i6 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp677')).
% 0.62/0.83 tff(3626,plain,
% 0.62/0.83 (~(i6 = i7)),
% 0.62/0.83 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 0.62/0.83 tff(3627,plain,
% 0.62/0.83 (~(i7 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(modus_ponens,[status(thm)],[3626, 3623])).
% 0.62/0.83 tff(3628,plain,
% 0.62/0.83 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3137, 3358, 2810, 2808, 2486, 2484, 2482, 2480, 2204, 2012, 1873, 1514, 912, 910, 332, 80, 70, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.83 tff(3629,plain,
% 0.62/0.83 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1601, 3628])).
% 0.62/0.83 tff(3630,plain,
% 0.62/0.83 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3629])).
% 0.62/0.83 tff(3631,plain,
% 0.62/0.83 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1514, 1873, 2012, 2204, 2480, 2482, 2484, 2486, 2808, 2810, 3358, 3344, 3363, 70, 3391, 2972, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.83 tff(3632,plain,
% 0.62/0.83 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1658, 3631])).
% 0.62/0.83 tff(3633,plain,
% 0.62/0.83 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3632])).
% 0.62/0.83 tff(3634,plain,
% 0.62/0.83 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 2972, 3391, 309, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 2808, 2486, 2484, 2482, 2480, 2204, 2012, 1873, 1514, 912, 910, 332, 80, 70])).
% 0.62/0.83 tff(3635,plain,
% 0.62/0.83 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[1726, 3634])).
% 0.62/0.83 tff(3636,plain,
% 0.62/0.83 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3635])).
% 0.62/0.83 tff(3637,assumption,(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3638,plain,
% 0.62/0.83 (select(store(a_1459, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3637])).
% 0.62/0.83 tff(3639,assumption,(select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3640,plain,
% 0.62/0.83 (select(store(a_1458, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3639])).
% 0.62/0.83 tff(3641,assumption,(select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3642,plain,
% 0.62/0.83 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3641])).
% 0.62/0.83 tff(3643,plain,
% 0.62/0.83 (select(store(store(a_1456, i32, e32), i6, e6), i6) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[1831, 3618])).
% 0.62/0.83 tff(3644,plain,
% 0.62/0.83 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1456, i32, e32), i6, e6), i6) = e6)),
% 0.62/0.83 inference(quant_inst,[status(thm)],[])).
% 0.62/0.83 tff(3645,plain,
% 0.62/0.83 (select(store(store(a_1456, i32, e32), i6, e6), i6) = e6),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3644, 97])).
% 0.62/0.83 tff(3646,plain,
% 0.62/0.83 (e6 = select(store(store(a_1456, i32, e32), i6, e6), i6)),
% 0.62/0.83 inference(symmetry,[status(thm)],[3645])).
% 0.62/0.83 tff(3647,plain,
% 0.62/0.83 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1413, i5, e5), i6, e6), i6) = e6)),
% 0.62/0.83 inference(quant_inst,[status(thm)],[])).
% 0.62/0.83 tff(3648,plain,
% 0.62/0.83 (select(store(store(a_1413, i5, e5), i6, e6), i6) = e6),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[3647, 97])).
% 0.62/0.83 tff(3649,plain,
% 0.62/0.83 (store(a_1414, i6, e6) = store(store(a_1413, i5, e5), i6, e6)),
% 0.62/0.83 inference(symmetry,[status(thm)],[1426])).
% 0.62/0.83 tff(3650,plain,
% 0.62/0.83 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1413, i5, e5), i6, e6), i6)),
% 0.62/0.83 inference(monotonicity,[status(thm)],[3649, 3619])).
% 0.62/0.83 tff(3651,plain,
% 0.62/0.83 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = e_1492),
% 0.62/0.83 inference(transitivity,[status(thm)],[3650, 3648, 3646, 3643, 3642, 1813, 3640, 1802, 3638, 1783, 3609, 1764, 3606, 1745, 3443, 1734, 3636, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3633, 1647, 3364, 1628, 3345, 1609, 3630, 1590, 3359, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2205, 454, 2013, 435, 1874, 416, 1515, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.62/0.83 tff(3652,plain,
% 0.62/0.83 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[765, 33, 3628])).
% 0.62/0.83 tff(3653,plain,
% 0.62/0.83 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3652])).
% 0.62/0.83 tff(3654,plain,
% 0.62/0.83 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[787, 3631])).
% 0.62/0.83 tff(3655,plain,
% 0.62/0.83 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3654])).
% 0.62/0.83 tff(3656,plain,
% 0.62/0.83 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.62/0.83 inference(unit_resolution,[status(thm)],[808, 3634])).
% 0.62/0.83 tff(3657,plain,
% 0.62/0.83 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3656])).
% 0.62/0.83 tff(3658,assumption,(select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3659,plain,
% 0.62/0.83 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3658])).
% 0.62/0.83 tff(3660,assumption,(select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))), introduced(assumption)).
% 0.62/0.83 tff(3661,plain,
% 0.62/0.83 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.62/0.83 inference(symmetry,[status(thm)],[3660])).
% 0.62/0.83 tff(3662,plain,
% 0.62/0.83 (select(store(a_1422, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3616])).
% 0.62/0.84 tff(3663,plain,
% 0.62/0.84 ((i6 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3618])).
% 0.62/0.84 tff(3664,plain,
% 0.62/0.84 ((i6 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(transitivity,[status(thm)],[3663, 2133])).
% 0.62/0.84 tff(3665,plain,
% 0.62/0.84 ((~(i6 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3664])).
% 0.62/0.84 tff(3666,plain,
% 0.62/0.84 ((~(i6 = i14)) <=> (~(i6 = i14))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(3667,axiom,(~(i6 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp670')).
% 0.62/0.84 tff(3668,plain,
% 0.62/0.84 (~(i6 = i14)),
% 0.62/0.84 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 0.62/0.84 tff(3669,plain,
% 0.62/0.84 (~(i14 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(modus_ponens,[status(thm)],[3668, 3665])).
% 0.62/0.84 tff(3670,plain,
% 0.62/0.84 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1272, 3669])).
% 0.62/0.84 tff(3671,plain,
% 0.62/0.84 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3670])).
% 0.62/0.84 tff(3672,plain,
% 0.62/0.84 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1292, 33, 3607])).
% 0.62/0.84 tff(3673,plain,
% 0.62/0.84 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3672])).
% 0.62/0.84 tff(3674,plain,
% 0.62/0.84 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1313, 33, 3604])).
% 0.62/0.84 tff(3675,plain,
% 0.62/0.84 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3674])).
% 0.62/0.84 tff(3676,plain,
% 0.62/0.84 ((i11 = i6) <=> (i6 = i11)),
% 0.62/0.84 inference(commutativity,[status(thm)],[])).
% 0.62/0.84 tff(3677,plain,
% 0.62/0.84 ((i11 = sk(a_1449, a_1489)) <=> (i11 = i6)),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3619])).
% 0.62/0.84 tff(3678,plain,
% 0.62/0.84 ((i11 = sk(a_1449, a_1489)) <=> (i6 = i11)),
% 0.62/0.84 inference(transitivity,[status(thm)],[3677, 3676])).
% 0.62/0.84 tff(3679,plain,
% 0.62/0.84 ((i6 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3678])).
% 0.62/0.84 tff(3680,plain,
% 0.62/0.84 ((~(i6 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3679])).
% 0.62/0.84 tff(3681,plain,
% 0.62/0.84 ((~(i6 = i11)) <=> (~(i6 = i11))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(3682,axiom,(~(i6 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp673')).
% 0.62/0.84 tff(3683,plain,
% 0.62/0.84 (~(i6 = i11)),
% 0.62/0.84 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 0.62/0.84 tff(3684,plain,
% 0.62/0.84 (~(i11 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(modus_ponens,[status(thm)],[3683, 3680])).
% 0.62/0.84 tff(3685,plain,
% 0.62/0.84 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1335, 3684])).
% 0.62/0.84 tff(3686,plain,
% 0.62/0.84 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3685])).
% 0.62/0.84 tff(3687,plain,
% 0.62/0.84 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1355, 33, 3343])).
% 0.62/0.84 tff(3688,plain,
% 0.62/0.84 (select(store(a_1417, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3687])).
% 0.62/0.84 tff(3689,plain,
% 0.62/0.84 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1397, 33, 3357])).
% 0.62/0.84 tff(3690,plain,
% 0.62/0.84 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3689])).
% 0.62/0.84 tff(3691,plain,
% 0.62/0.84 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = e_1491),
% 0.62/0.84 inference(transitivity,[status(thm)],[1406, 3690, 1385, 2378, 1364, 3688, 1343, 3686, 1322, 3675, 1301, 3673, 1280, 3671, 1259, 3662, 1248, 3661, 869, 3659, 848, 3528, 827, 3526, 816, 3657, 795, 3655, 774, 3653, 753, 3519, 732, 3518, 711, 2973, 690, 2971, 669, 2032, 648, 2030, 637, 2029, 116, 2465, 135, 2026, 154, 1860, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 562, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.62/0.84 tff(3692,plain,
% 0.62/0.84 ((select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3691, 3651])).
% 0.62/0.84 tff(3693,plain,
% 0.62/0.84 ((e_1491 = e_1492) <=> (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489)))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3692])).
% 0.62/0.84 tff(3694,plain,
% 0.62/0.84 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3693])).
% 0.62/0.84 tff(3695,plain,
% 0.62/0.84 (~(select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489)))),
% 0.62/0.84 inference(modus_ponens,[status(thm)],[314, 3694])).
% 0.62/0.84 tff(3696,plain,
% 0.62/0.84 ($false),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1419, 3695, 3627])).
% 0.62/0.84 tff(3697,plain,((~(i6 = sk(a_1449, a_1489))) | (~(select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))) | (~(select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))) | (~(select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489)))) | (~(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i12 = sk(a_1449, a_1489)) | (i13 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.84 tff(3698,plain,
% 0.62/0.84 (~(i6 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[3697, 3611, 1806, 2885, 3442, 3405, 3403, 3158, 3363, 2810, 3577, 2486, 2484, 2482, 3574, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3616, 3615, 3614, 3613, 3471, 3390, 3366, 3101, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309, 3357, 2203, 3343, 3604, 3607])).
% 0.62/0.84 tff(3699,plain,
% 0.62/0.84 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1842, 3698])).
% 0.62/0.84 tff(3700,plain,
% 0.62/0.84 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3699])).
% 0.62/0.84 tff(3701,plain,
% 0.62/0.84 (~(i22 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[3137, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.84 tff(3702,plain,
% 0.62/0.84 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1601, 3701])).
% 0.62/0.84 tff(3703,plain,
% 0.62/0.84 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3702])).
% 0.62/0.84 tff(3704,plain,
% 0.62/0.84 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3379])).
% 0.62/0.84 tff(3705,plain,
% 0.62/0.84 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3704])).
% 0.62/0.84 tff(3706,plain,
% 0.62/0.84 (~(i21 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1481, 1475, 2002, 2204, 3574, 2482, 2484, 2486, 3577, 2810, 3358, 3344, 3363, 70, 3366, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.62/0.84 tff(3707,plain,
% 0.62/0.84 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[1658, 3706])).
% 0.62/0.84 tff(3708,plain,
% 0.62/0.84 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3707])).
% 0.62/0.84 tff(3709,plain,
% 0.62/0.84 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[2473])).
% 0.62/0.84 tff(3710,plain,
% 0.62/0.84 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3709])).
% 0.62/0.84 tff(3711,plain,
% 0.62/0.84 (store(a_1466, i23, e23) = store(store(a_1465, i35, e35), i23, e23)),
% 0.62/0.84 inference(symmetry,[status(thm)],[1684])).
% 0.62/0.84 tff(3712,plain,
% 0.62/0.84 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3711])).
% 0.62/0.84 tff(3713,plain,
% 0.62/0.84 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3712])).
% 0.62/0.84 tff(3714,plain,
% 0.62/0.84 (store(a_1465, i35, e35) = store(store(a_1464, i20, e20), i35, e35)),
% 0.62/0.84 inference(symmetry,[status(thm)],[1703])).
% 0.62/0.84 tff(3715,plain,
% 0.62/0.84 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3714])).
% 0.62/0.84 tff(3716,plain,
% 0.62/0.84 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3715])).
% 0.62/0.84 tff(3717,plain,
% 0.62/0.84 (store(a_1464, i20, e20) = store(store(a_1463, i36, e36), i20, e20)),
% 0.62/0.84 inference(symmetry,[status(thm)],[1714])).
% 0.62/0.84 tff(3718,plain,
% 0.62/0.84 (select(store(a_1464, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[3717])).
% 0.62/0.84 tff(3719,plain,
% 0.62/0.84 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.62/0.84 inference(symmetry,[status(thm)],[3718])).
% 0.62/0.84 tff(3720,plain,
% 0.62/0.84 (~(i20 = sk(a_1449, a_1489))),
% 0.62/0.84 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3101, 3366, 309, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70])).
% 0.62/0.85 tff(3721,plain,
% 0.62/0.85 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.85 inference(unit_resolution,[status(thm)],[1726, 3720])).
% 0.62/0.85 tff(3722,plain,
% 0.62/0.85 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3721])).
% 0.62/0.85 tff(3723,plain,
% 0.62/0.85 (store(a_1463, i36, e36) = store(store(a_1462, i12, e12), i36, e36)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1733])).
% 0.62/0.85 tff(3724,plain,
% 0.62/0.85 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3723])).
% 0.62/0.85 tff(3725,plain,
% 0.62/0.85 (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3724])).
% 0.62/0.85 tff(3726,plain,
% 0.62/0.85 (store(a_1462, i12, e12) = store(store(a_1461, i13, e13), i12, e12)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1744])).
% 0.62/0.85 tff(3727,plain,
% 0.62/0.85 (select(store(a_1462, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3726])).
% 0.62/0.85 tff(3728,plain,
% 0.62/0.85 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3727])).
% 0.62/0.85 tff(3729,plain,
% 0.62/0.85 (store(a_1461, i13, e13) = store(store(a_1460, i31, e31), i13, e13)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1763])).
% 0.62/0.85 tff(3730,plain,
% 0.62/0.85 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3729])).
% 0.62/0.85 tff(3731,plain,
% 0.62/0.85 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3730])).
% 0.62/0.85 tff(3732,plain,
% 0.62/0.85 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[1867])).
% 0.62/0.85 tff(3733,plain,
% 0.62/0.85 (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3732])).
% 0.62/0.85 tff(3734,plain,
% 0.62/0.85 (store(a_1459, i37, e37) = store(store(a_1458, i18, e18), i37, e37)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1801])).
% 0.62/0.85 tff(3735,plain,
% 0.62/0.85 (select(store(a_1459, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3734])).
% 0.62/0.85 tff(3736,plain,
% 0.62/0.85 (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3735])).
% 0.62/0.85 tff(3737,plain,
% 0.62/0.85 (store(a_1458, i18, e18) = store(store(a_1457, i6, e6), i18, e18)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1812])).
% 0.62/0.85 tff(3738,plain,
% 0.62/0.85 (select(store(a_1458, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3737])).
% 0.62/0.85 tff(3739,plain,
% 0.62/0.85 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3738])).
% 0.62/0.85 tff(3740,plain,
% 0.62/0.85 (store(a_1457, i6, e6) = store(store(a_1456, i32, e32), i6, e6)),
% 0.62/0.85 inference(symmetry,[status(thm)],[1831])).
% 0.62/0.85 tff(3741,plain,
% 0.62/0.85 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[3740])).
% 0.62/0.85 tff(3742,plain,
% 0.62/0.85 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3741])).
% 0.62/0.85 tff(3743,plain,
% 0.62/0.85 (~(i6 = sk(a_1449, a_1489))),
% 0.62/0.85 inference(unit_resolution,[status(thm)],[3697, 3641, 3639, 3637, 3442, 3405, 3403, 3158, 3363, 2810, 3577, 2486, 2484, 2482, 3574, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3616, 3615, 3614, 3527, 3471, 3390, 3366, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309, 3357, 2203, 3343, 3604, 3607])).
% 0.62/0.85 tff(3744,plain,
% 0.62/0.85 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.62/0.85 inference(unit_resolution,[status(thm)],[1842, 3743])).
% 0.62/0.85 tff(3745,plain,
% 0.62/0.85 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.62/0.85 inference(symmetry,[status(thm)],[3744])).
% 0.62/0.85 tff(3746,plain,
% 0.62/0.85 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489))),
% 0.62/0.85 inference(monotonicity,[status(thm)],[1508])).
% 0.62/0.85 tff(3747,plain,
% 0.62/0.85 (select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3746])).
% 0.70/0.85 tff(3748,assumption,(select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3749,plain,
% 0.70/0.85 (select(store(a_1455, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3748])).
% 0.70/0.85 tff(3750,assumption,(~(i14 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3751,plain,
% 0.70/0.85 (~(i22 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 3577, 2486, 2484, 2482, 3574, 2478, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.70/0.85 tff(3752,plain,
% 0.70/0.85 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1601, 3751])).
% 0.70/0.85 tff(3753,plain,
% 0.70/0.85 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3752])).
% 0.70/0.85 tff(3754,plain,
% 0.70/0.85 (~(i21 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1481, 1475, 2002, 2478, 3574, 2482, 2484, 2486, 3577, 2810, 3098, 3372, 3363, 70, 3366, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.70/0.85 tff(3755,plain,
% 0.70/0.85 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1658, 3754])).
% 0.70/0.85 tff(3756,plain,
% 0.70/0.85 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3755])).
% 0.70/0.85 tff(3757,plain,
% 0.70/0.85 (~(i20 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3101, 3366, 309, 3405, 3403, 3158, 3363, 3372, 3098, 2810, 3577, 2486, 2484, 2482, 3574, 2478, 2002, 1475, 1481, 912, 910, 332, 80, 70])).
% 0.70/0.85 tff(3758,plain,
% 0.70/0.85 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1726, 3757])).
% 0.70/0.85 tff(3759,plain,
% 0.70/0.85 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3758])).
% 0.70/0.85 tff(3760,assumption,(select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3761,plain,
% 0.70/0.85 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3760])).
% 0.70/0.85 tff(3762,assumption,(select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3763,plain,
% 0.70/0.85 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3762])).
% 0.70/0.85 tff(3764,assumption,(~(i6 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3765,plain,
% 0.70/0.85 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1842, 3764])).
% 0.70/0.85 tff(3766,plain,
% 0.70/0.85 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3765])).
% 0.70/0.85 tff(3767,assumption,(~(i7 = sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3768,plain,
% 0.70/0.85 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[2927, 3767])).
% 0.70/0.85 tff(3769,plain,
% 0.70/0.85 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3768])).
% 0.70/0.85 tff(3770,plain,
% 0.70/0.85 (select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489)) = select(store(a_1453, i25, e25), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[2944, 33, 3593])).
% 0.70/0.85 tff(3771,plain,
% 0.70/0.85 (select(store(a_1453, i25, e25), sk(a_1449, a_1489)) = select(store(store(a_1453, i25, e25), i17, e17), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3770])).
% 0.70/0.85 tff(3772,assumption,(select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3773,assumption,(select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3774,plain,
% 0.70/0.85 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1272, 3750])).
% 0.70/0.85 tff(3775,plain,
% 0.70/0.85 (~(i22 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3137, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.70/0.85 tff(3776,plain,
% 0.70/0.85 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1601, 3775])).
% 0.70/0.85 tff(3777,plain,
% 0.70/0.85 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3776])).
% 0.70/0.85 tff(3778,plain,
% 0.70/0.85 (~(i21 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3394, 3390, 80, 332, 910, 912, 1514, 1873, 2012, 2478, 2480, 2482, 2484, 2486, 2808, 2810, 3098, 3372, 3363, 70, 3391, 3101, 2761, 2031, 1478, 110, 2025, 1859, 1103, 927, 925, 923, 561, 559, 557, 309])).
% 0.70/0.85 tff(3779,plain,
% 0.70/0.85 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1658, 3778])).
% 0.70/0.85 tff(3780,plain,
% 0.70/0.85 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3779])).
% 0.70/0.85 tff(3781,plain,
% 0.70/0.85 (~(i20 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3426, 3390, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3101, 3391, 309, 3405, 3403, 3158, 3363, 3372, 3098, 2810, 2808, 2486, 2484, 2482, 2480, 2478, 2012, 1873, 1514, 912, 910, 332, 80, 70])).
% 0.70/0.85 tff(3782,plain,
% 0.70/0.85 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[1726, 3781])).
% 0.70/0.85 tff(3783,plain,
% 0.70/0.85 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3782])).
% 0.70/0.85 tff(3784,assumption,(select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3785,plain,
% 0.70/0.85 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3784])).
% 0.70/0.85 tff(3786,assumption,(i11 = sk(a_1449, a_1489)), introduced(assumption)).
% 0.70/0.85 tff(3787,plain,
% 0.70/0.85 ((i7 = i11) <=> (i7 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3786])).
% 0.70/0.85 tff(3788,plain,
% 0.70/0.85 ((~(i7 = i11)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3787])).
% 0.70/0.85 tff(3789,plain,
% 0.70/0.85 ((~(i7 = i11)) <=> (~(i7 = i11))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(3790,axiom,(~(i7 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp640')).
% 0.70/0.85 tff(3791,plain,
% 0.70/0.85 (~(i7 = i11)),
% 0.70/0.85 inference(modus_ponens,[status(thm)],[3790, 3789])).
% 0.70/0.85 tff(3792,plain,
% 0.70/0.85 (~(i7 = sk(a_1449, a_1489))),
% 0.70/0.85 inference(modus_ponens,[status(thm)],[3791, 3788])).
% 0.70/0.85 tff(3793,plain,
% 0.70/0.85 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[2927, 3792])).
% 0.70/0.85 tff(3794,plain,
% 0.70/0.85 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.70/0.85 inference(symmetry,[status(thm)],[3793])).
% 0.70/0.85 tff(3795,plain,
% 0.70/0.85 (select(store(store(a_1451, i24, e24), i11, e11), i11) = select(store(a_1452, i11, e11), sk(a_1449, a_1489))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3234, 3786])).
% 0.70/0.85 tff(3796,plain,
% 0.70/0.85 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1451, i24, e24), i11, e11), i11) = e11)),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(3797,plain,
% 0.70/0.85 (select(store(store(a_1451, i24, e24), i11, e11), i11) = e11),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3796, 97])).
% 0.70/0.85 tff(3798,plain,
% 0.70/0.85 (e11 = select(store(store(a_1451, i24, e24), i11, e11), i11)),
% 0.70/0.85 inference(symmetry,[status(thm)],[3797])).
% 0.70/0.85 tff(3799,plain,
% 0.70/0.85 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1418, i10, e10), i11, e11), i11) = e11)),
% 0.70/0.85 inference(quant_inst,[status(thm)],[])).
% 0.70/0.85 tff(3800,plain,
% 0.70/0.85 (select(store(store(a_1418, i10, e10), i11, e11), i11) = e11),
% 0.70/0.85 inference(unit_resolution,[status(thm)],[3799, 97])).
% 0.70/0.85 tff(3801,plain,
% 0.70/0.85 (sk(a_1449, a_1489) = i11),
% 0.70/0.85 inference(symmetry,[status(thm)],[3786])).
% 0.70/0.85 tff(3802,plain,
% 0.70/0.85 (store(a_1419, i11, e11) = store(store(a_1418, i10, e10), i11, e11)),
% 0.70/0.85 inference(symmetry,[status(thm)],[1321])).
% 0.70/0.85 tff(3803,plain,
% 0.70/0.85 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), i11)),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3802, 3801])).
% 0.70/0.85 tff(3804,plain,
% 0.70/0.85 (select(store(a_1420, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3513])).
% 0.70/0.85 tff(3805,plain,
% 0.70/0.85 (store(a_1421, i13, e13) = store(store(a_1420, i12, e12), i13, e13)),
% 0.70/0.85 inference(symmetry,[status(thm)],[1279])).
% 0.70/0.85 tff(3806,plain,
% 0.70/0.85 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3805])).
% 0.70/0.85 tff(3807,assumption,(select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.85 tff(3808,plain,
% 0.70/0.85 (store(a_1422, i14, e14) = store(store(a_1421, i13, e13), i14, e14)),
% 0.70/0.85 inference(symmetry,[status(thm)],[1258])).
% 0.70/0.85 tff(3809,plain,
% 0.70/0.85 (select(store(a_1422, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[3808])).
% 0.70/0.85 tff(3810,plain,
% 0.70/0.85 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[553])).
% 0.70/0.86 tff(3811,plain,
% 0.70/0.86 (store(a_1424, i16, e16) = store(store(a_1423, i15, e15), i16, e16)),
% 0.70/0.86 inference(symmetry,[status(thm)],[868])).
% 0.70/0.86 tff(3812,plain,
% 0.70/0.86 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3811])).
% 0.70/0.86 tff(3813,plain,
% 0.70/0.86 (store(a_1425, i17, e17) = store(store(a_1424, i16, e16), i17, e17)),
% 0.70/0.86 inference(symmetry,[status(thm)],[847])).
% 0.70/0.86 tff(3814,plain,
% 0.70/0.86 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3813])).
% 0.70/0.86 tff(3815,plain,
% 0.70/0.86 (select(store(a_1426, i18, e18), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3469])).
% 0.70/0.86 tff(3816,plain,
% 0.70/0.86 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[808, 3781])).
% 0.70/0.86 tff(3817,plain,
% 0.70/0.86 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[787, 3778])).
% 0.70/0.86 tff(3818,plain,
% 0.70/0.86 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[765, 33, 3775])).
% 0.70/0.86 tff(3819,plain,
% 0.70/0.86 (e_1491 = e_1492),
% 0.70/0.86 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 561, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 1859, 3273, 2025, 3271, 2464, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 3101, 3423, 3391, 3422, 3390, 3420, 3818, 3419, 3817, 3475, 3816, 3473, 3471, 3815, 3527, 3814, 3614, 3812, 3660, 3810, 3616, 3809, 3807, 3806, 3773, 3804, 3772, 3803, 3800, 3798, 3795, 3229, 3224, 3771, 2935, 3794, 2916, 3749, 2905, 3785, 1832, 3642, 1813, 3640, 1802, 3638, 1783, 3763, 1764, 3761, 1745, 3443, 1734, 3783, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3780, 1647, 3364, 1628, 3373, 1609, 3777, 1590, 3099, 1571, 2811, 1560, 2809, 1057, 2487, 1046, 2485, 1035, 2483, 492, 2481, 473, 2479, 454, 2013, 435, 1874, 416, 1515, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.70/0.86 tff(3820,plain,
% 0.70/0.86 ($false),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[314, 3819])).
% 0.70/0.86 tff(3821,plain,((~(i11 = sk(a_1449, a_1489))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))) | (~(select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))) | (~(select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489)))) | (~(select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489)))) | (~(select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489)))) | (~(select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))) | (~(select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489)))) | (~(select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i25 = sk(a_1449, a_1489)) | (i17 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.70/0.86 tff(3822,plain,
% 0.70/0.86 (~(i11 = sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3821, 3774, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3366, 3390, 3471, 3527, 3615, 3616, 309, 3773, 3772, 3748, 3765, 3641, 3639, 3637, 3762, 3760, 3442, 3405, 3403, 3158, 3363, 3372, 3098, 2810, 3577, 2486, 2484, 2482, 3574, 2478, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3100, 3593])).
% 0.70/0.86 tff(3823,plain,
% 0.70/0.86 (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3244, 33, 3822])).
% 0.70/0.86 tff(3824,plain,
% 0.70/0.86 (select(store(a_1451, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489))),
% 0.70/0.86 inference(symmetry,[status(thm)],[3823])).
% 0.70/0.86 tff(3825,plain,
% 0.70/0.86 (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3251])).
% 0.70/0.86 tff(3826,plain,
% 0.70/0.86 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1449, a_1489)) | (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1449, a_1489)) | (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(3827,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1449, a_1489)) | (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(3828,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1449, a_1489)) | (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489)))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 0.70/0.86 tff(3829,plain,
% 0.70/0.86 (select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3828, 33, 3365])).
% 0.70/0.86 tff(3830,plain,
% 0.70/0.86 (select(store(a_1450, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1450, i14, e14), i24, e24), sk(a_1449, a_1489))),
% 0.70/0.86 inference(symmetry,[status(thm)],[3829])).
% 0.70/0.86 tff(3831,plain,
% 0.70/0.86 ((a_1450 = store(a1, i16, e16)) <=> (a_1450 = store(a1, i16, e16))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(3832,axiom,(a_1450 = store(a1, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp40')).
% 0.70/0.86 tff(3833,plain,
% 0.70/0.86 (a_1450 = store(a1, i16, e16)),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 0.70/0.86 tff(3834,plain,
% 0.70/0.86 (store(a1, i16, e16) = a_1450),
% 0.70/0.86 inference(symmetry,[status(thm)],[3833])).
% 0.70/0.86 tff(3835,plain,
% 0.70/0.86 (store(store(a1, i16, e16), i14, e14) = store(a_1450, i14, e14)),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3834])).
% 0.70/0.86 tff(3836,plain,
% 0.70/0.86 (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3835])).
% 0.70/0.86 tff(3837,plain,
% 0.70/0.86 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1449, a_1489)) | (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1449, a_1489)) | (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(3838,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1449, a_1489)) | (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(3839,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1449, a_1489)) | (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489)))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[3838, 3837])).
% 0.70/0.86 tff(3840,plain,
% 0.70/0.86 (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3839, 33, 3750])).
% 0.70/0.86 tff(3841,plain,
% 0.70/0.86 (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489))),
% 0.70/0.86 inference(symmetry,[status(thm)],[3840])).
% 0.70/0.86 tff(3842,plain,
% 0.70/0.86 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1449, a_1489)) | (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1449, a_1489)) | (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(3843,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1449, a_1489)) | (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(3844,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1449, a_1489)) | (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489)))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 0.70/0.86 tff(3845,plain,
% 0.70/0.86 (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3844, 33, 3594])).
% 0.70/0.86 tff(3846,plain,
% 0.70/0.86 (select(a1, sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))),
% 0.70/0.86 inference(symmetry,[status(thm)],[3845])).
% 0.70/0.86 tff(3847,plain,
% 0.70/0.86 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1449, a_1489)) | (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1449, a_1489)) | (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(3848,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1449, a_1489)) | (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(3849,plain,
% 0.70/0.86 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1449, a_1489)) | (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489)))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 0.70/0.86 tff(3850,plain,
% 0.70/0.86 (select(store(a1, i1, e1), sk(a_1449, a_1489)) = select(a1, sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[3849, 33, 3573])).
% 0.70/0.86 tff(3851,plain,
% 0.70/0.86 (select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489)) = select(store(a1, i1, e1), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[2444, 33, 3576])).
% 0.70/0.86 tff(3852,plain,
% 0.70/0.86 (store(a_1410, i2, e2) = store(store(a1, i1, e1), i2, e2)),
% 0.70/0.86 inference(symmetry,[status(thm)],[2435])).
% 0.70/0.86 tff(3853,plain,
% 0.70/0.86 (select(store(a_1410, i2, e2), sk(a_1449, a_1489)) = select(store(store(a1, i1, e1), i2, e2), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3852])).
% 0.70/0.86 tff(3854,plain,
% 0.70/0.86 (store(a_1411, i3, e3) = store(store(a_1410, i2, e2), i3, e3)),
% 0.70/0.86 inference(symmetry,[status(thm)],[2424])).
% 0.70/0.86 tff(3855,plain,
% 0.70/0.86 (select(store(a_1411, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1410, i2, e2), i3, e3), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3854])).
% 0.70/0.86 tff(3856,plain,
% 0.70/0.86 (select(store(a_1412, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[1100])).
% 0.70/0.86 tff(3857,plain,
% 0.70/0.86 (store(a_1413, i5, e5) = store(store(a_1412, i4, e4), i5, e5)),
% 0.70/0.86 inference(symmetry,[status(thm)],[1447])).
% 0.70/0.86 tff(3858,plain,
% 0.70/0.86 (select(store(a_1413, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1412, i4, e4), i5, e5), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3857])).
% 0.70/0.86 tff(3859,plain,
% 0.70/0.86 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[1439, 33, 3764])).
% 0.70/0.86 tff(3860,plain,
% 0.70/0.86 (select(store(a_1414, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3649])).
% 0.70/0.86 tff(3861,plain,
% 0.70/0.86 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[1419, 3767])).
% 0.70/0.86 tff(3862,plain,
% 0.70/0.86 (store(a_1415, i7, e7) = store(store(a_1414, i6, e6), i7, e7)),
% 0.70/0.86 inference(symmetry,[status(thm)],[1405])).
% 0.70/0.86 tff(3863,plain,
% 0.70/0.86 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3862])).
% 0.70/0.86 tff(3864,assumption,(select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.86 tff(3865,plain,
% 0.70/0.86 (select(store(a_1416, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[2966])).
% 0.70/0.86 tff(3866,assumption,(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))), introduced(assumption)).
% 0.70/0.86 tff(3867,plain,
% 0.70/0.86 (store(a_1418, i10, e10) = store(store(a_1417, i9, e9), i10, e10)),
% 0.70/0.86 inference(symmetry,[status(thm)],[1342])).
% 0.70/0.86 tff(3868,plain,
% 0.70/0.86 (select(store(a_1418, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3867])).
% 0.70/0.86 tff(3869,plain,
% 0.70/0.86 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[1335, 3822])).
% 0.70/0.86 tff(3870,plain,
% 0.70/0.86 (select(store(a_1419, i11, e11), sk(a_1449, a_1489)) = select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[3802])).
% 0.70/0.86 tff(3871,plain,
% 0.70/0.87 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[808, 3757])).
% 0.70/0.87 tff(3872,plain,
% 0.70/0.87 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[787, 3754])).
% 0.70/0.87 tff(3873,plain,
% 0.70/0.87 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[765, 33, 3751])).
% 0.70/0.87 tff(3874,plain,
% 0.70/0.87 (e_1491 = e_1492),
% 0.70/0.87 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 561, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 1859, 3273, 2025, 3271, 2464, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 3101, 3423, 3366, 3422, 3390, 3420, 3873, 3419, 3872, 3475, 3871, 3473, 3471, 3815, 3527, 3814, 3614, 3812, 3615, 3810, 3616, 3809, 3774, 3806, 3773, 3804, 3772, 3870, 3869, 3868, 3866, 2969, 2968, 3865, 3864, 3863, 3861, 3860, 3859, 3858, 2412, 3856, 2418, 3855, 2429, 3853, 3851, 3850, 3846, 3841, 3836, 3830, 3825, 3824, 3235, 3229, 3224, 3771, 2935, 3769, 2916, 3749, 2905, 3766, 1832, 3642, 1813, 3640, 1802, 3638, 1783, 3763, 1764, 3761, 1745, 3443, 1734, 3759, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3756, 1647, 3364, 1628, 3373, 1609, 3753, 1590, 3099, 1571, 2811, 1560, 3578, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3575, 473, 2479, 454, 2202, 435, 1476, 416, 2201, 397, 2477, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.70/0.87 tff(3875,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[314, 3874])).
% 0.70/0.87 tff(3876,plain,((i7 = sk(a_1449, a_1489)) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))) | (~(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))) | (~(select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489)))) | (~(select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489)))) | (~(select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489)))) | (~(select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489)))) | (~(select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))) | (~(select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i1 = sk(a_1449, a_1489)) | (i16 = sk(a_1449, a_1489)) | (i2 = sk(a_1449, a_1489)) | (i14 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i24 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i6 = sk(a_1449, a_1489)) | (i17 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.70/0.87 tff(3877,plain,
% 0.70/0.87 (i7 = sk(a_1449, a_1489)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[3876, 3672, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3390, 3471, 3527, 3616, 309, 3674, 3687, 2377, 3689, 3748, 3641, 3639, 3637, 3608, 3605, 3442, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 2486, 2484, 2482, 2204, 912, 910, 332, 80, 70, 3573, 3594, 3576, 3750, 1479, 3365, 1477, 1474, 3100, 3743, 3593])).
% 0.70/0.87 tff(3878,plain,
% 0.70/0.87 (sk(a_1449, a_1489) = i7),
% 0.70/0.87 inference(symmetry,[status(thm)],[3877])).
% 0.70/0.87 tff(3879,plain,
% 0.70/0.87 (store(a_1455, i7, e7) = store(store(a_1454, i17, e17), i7, e7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[2915])).
% 0.70/0.87 tff(3880,plain,
% 0.70/0.87 (select(store(a_1455, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), i7)),
% 0.70/0.87 inference(monotonicity,[status(thm)],[3879, 3878])).
% 0.70/0.87 tff(3881,plain,
% 0.70/0.87 (select(store(store(a_1454, i17, e17), i7, e7), i7) = select(store(a_1455, i7, e7), sk(a_1449, a_1489))),
% 0.70/0.87 inference(symmetry,[status(thm)],[3880])).
% 0.70/0.87 tff(3882,plain,
% 0.70/0.87 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1454, i17, e17), i7, e7), i7) = e7)),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(3883,plain,
% 0.70/0.87 (select(store(store(a_1454, i17, e17), i7, e7), i7) = e7),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[3882, 97])).
% 0.70/0.87 tff(3884,plain,
% 0.70/0.87 (e7 = select(store(store(a_1454, i17, e17), i7, e7), i7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[3883])).
% 0.70/0.87 tff(3885,plain,
% 0.70/0.87 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1414, i6, e6), i7, e7), i7) = e7)),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(3886,plain,
% 0.70/0.87 (select(store(store(a_1414, i6, e6), i7, e7), i7) = e7),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[3885, 97])).
% 0.70/0.87 tff(3887,plain,
% 0.70/0.87 (select(store(store(a_1414, i6, e6), i7, e7), i7) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[1405, 3877])).
% 0.70/0.87 tff(3888,plain,
% 0.70/0.87 (select(store(a_1415, i7, e7), sk(a_1449, a_1489)) = select(store(store(a_1414, i6, e6), i7, e7), i7)),
% 0.70/0.87 inference(symmetry,[status(thm)],[3887])).
% 0.70/0.87 tff(3889,plain,
% 0.70/0.87 (~(i11 = sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[3821, 3774, 557, 559, 561, 923, 925, 927, 1103, 1859, 2025, 110, 1478, 2031, 2761, 3366, 3390, 3471, 3527, 3615, 3616, 309, 3672, 3674, 3748, 3744, 3641, 3639, 3637, 3608, 3605, 3442, 3405, 3403, 3158, 3363, 3344, 3358, 2810, 3577, 2486, 2484, 2482, 3574, 2204, 2002, 1475, 1481, 912, 910, 332, 80, 70, 3100, 3593])).
% 0.70/0.87 tff(3890,plain,
% 0.70/0.87 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[1335, 3889])).
% 0.70/0.87 tff(3891,plain,
% 0.70/0.87 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[808, 3720])).
% 0.70/0.87 tff(3892,plain,
% 0.70/0.87 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[787, 3706])).
% 0.70/0.87 tff(3893,plain,
% 0.70/0.87 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[765, 33, 3701])).
% 0.70/0.87 tff(3894,plain,
% 0.70/0.87 (e_1491 = e_1492),
% 0.70/0.87 inference(transitivity,[status(thm)],[4, 310, 309, 308, 557, 288, 559, 269, 561, 250, 923, 231, 925, 212, 927, 193, 1103, 174, 1859, 155, 2025, 136, 2464, 117, 110, 2764, 1478, 2763, 2031, 2762, 2761, 2760, 3101, 2751, 3366, 2740, 3390, 2729, 3893, 2718, 3892, 2707, 3891, 2696, 3471, 2695, 3527, 2684, 3614, 2673, 3615, 2662, 3616, 2661, 3774, 2650, 3672, 2639, 3674, 2628, 3890, 2617, 3687, 2606, 2377, 2605, 3689, 3888, 3886, 3884, 3881, 3749, 3747, 3745, 3742, 3642, 3739, 3640, 3736, 3638, 3733, 3609, 3731, 3606, 3728, 3443, 3725, 3722, 3719, 3406, 3716, 3404, 3713, 3159, 3710, 3708, 3705, 3364, 3376, 3345, 3341, 3703, 3335, 3359, 3326, 2811, 3323, 3578, 3318, 2487, 2557, 2485, 2554, 2483, 2551, 3575, 2545, 2205, 2542, 2202, 2539, 1476, 1473, 2201, 961, 2477, 895, 913, 892, 911, 889, 333, 886, 81, 79, 71, 26, 13])).
% 0.70/0.87 tff(3895,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[314, 3894])).
% 0.70/0.87 tff(3896,plain,((i14 = sk(a_1449, a_1489)) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(a_1458, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489)))) | (~(select(store(store(a_1455, i7, e7), i32, e32), sk(a_1449, a_1489)) = select(store(a_1455, i7, e7), sk(a_1449, a_1489)))) | (~(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))) | (~(select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i1 = sk(a_1449, a_1489)) | (i16 = sk(a_1449, a_1489)) | (i2 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i24 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i17 = sk(a_1449, a_1489)) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i12 = sk(a_1449, a_1489)) | (i13 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.70/0.88 tff(3897,plain,
% 0.70/0.88 (i14 = sk(a_1449, a_1489)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3896, 2885, 80, 332, 910, 912, 2482, 2484, 2486, 2810, 3363, 3158, 3403, 3405, 3442, 70, 1806, 3611, 2909, 3616, 3613, 3471, 3390, 2761, 2031, 1478, 110, 2784, 2781, 1103, 927, 925, 923, 530, 559, 557, 309, 3573, 3594, 3576, 1479, 3365, 1477, 1474, 3100, 3593, 3357, 2203, 3343, 3604, 3607])).
% 0.70/0.88 tff(3898,plain,
% 0.70/0.88 ((i7 = i14) <=> (i7 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3897])).
% 0.70/0.88 tff(3899,plain,
% 0.70/0.88 ((~(i7 = i14)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3898])).
% 0.70/0.88 tff(3900,plain,
% 0.70/0.88 ((~(i7 = i14)) <=> (~(i7 = i14))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(3901,axiom,(~(i7 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp637')).
% 0.70/0.88 tff(3902,plain,
% 0.70/0.88 (~(i7 = i14)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 0.70/0.88 tff(3903,plain,
% 0.70/0.88 (~(i7 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3902, 3899])).
% 0.70/0.88 tff(3904,plain,
% 0.70/0.88 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[2927, 3903])).
% 0.70/0.88 tff(3905,plain,
% 0.70/0.88 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.70/0.88 inference(symmetry,[status(thm)],[3904])).
% 0.70/0.88 tff(3906,plain,
% 0.70/0.88 ((i11 = i14) <=> (i11 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3897])).
% 0.70/0.88 tff(3907,plain,
% 0.70/0.88 ((~(i11 = i14)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3906])).
% 0.70/0.88 tff(3908,plain,
% 0.70/0.88 ((~(i11 = i14)) <=> (~(i11 = i14))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(3909,axiom,(~(i11 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp515')).
% 0.70/0.88 tff(3910,plain,
% 0.70/0.88 (~(i11 = i14)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 0.70/0.88 tff(3911,plain,
% 0.70/0.88 (~(i11 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3910, 3907])).
% 0.70/0.88 tff(3912,plain,
% 0.70/0.88 (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3244, 33, 3911])).
% 0.70/0.88 tff(3913,plain,
% 0.70/0.88 (select(store(a_1451, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489))),
% 0.70/0.88 inference(symmetry,[status(thm)],[3912])).
% 0.70/0.88 tff(3914,plain,
% 0.70/0.88 (select(store(store(a1, i16, e16), i14, e14), i14) = select(store(a_1450, i14, e14), sk(a_1449, a_1489))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3835, 3897])).
% 0.70/0.88 tff(3915,plain,
% 0.70/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i16, e16), i14, e14), i14) = e14)),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(3916,plain,
% 0.70/0.88 (select(store(store(a1, i16, e16), i14, e14), i14) = e14),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3915, 97])).
% 0.70/0.88 tff(3917,plain,
% 0.70/0.88 (e14 = select(store(store(a1, i16, e16), i14, e14), i14)),
% 0.70/0.88 inference(symmetry,[status(thm)],[3916])).
% 0.70/0.88 tff(3918,plain,
% 0.70/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1421, i13, e13), i14, e14), i14) = e14)),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(3919,plain,
% 0.70/0.88 (select(store(store(a_1421, i13, e13), i14, e14), i14) = e14),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3918, 97])).
% 0.70/0.88 tff(3920,plain,
% 0.70/0.88 (sk(a_1449, a_1489) = i14),
% 0.70/0.88 inference(symmetry,[status(thm)],[3897])).
% 0.70/0.88 tff(3921,plain,
% 0.70/0.88 (select(store(a_1422, i14, e14), sk(a_1449, a_1489)) = select(store(store(a_1421, i13, e13), i14, e14), i14)),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3808, 3920])).
% 0.70/0.88 tff(3922,plain,
% 0.70/0.88 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[808, 3601])).
% 0.70/0.88 tff(3923,plain,
% 0.70/0.88 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[787, 3598])).
% 0.70/0.88 tff(3924,plain,
% 0.70/0.88 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[765, 33, 3595])).
% 0.70/0.88 tff(3925,plain,
% 0.70/0.88 (e_1491 = e_1492),
% 0.70/0.88 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 2781, 3273, 2784, 3271, 3478, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 3101, 3423, 3366, 3422, 3390, 3420, 3924, 3419, 3923, 3475, 3922, 3473, 3471, 3815, 3613, 3814, 3614, 3812, 3615, 3810, 3616, 3921, 3919, 3917, 3914, 3830, 3825, 3913, 3235, 3229, 3224, 3771, 2935, 3905, 2916, 2910, 2905, 3700, 1832, 3612, 1813, 1807, 1802, 2886, 1783, 3609, 1764, 3606, 1745, 3443, 1734, 3603, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3600, 1647, 3364, 1628, 3345, 1609, 3597, 1590, 3359, 1571, 2811, 1560, 3578, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3575, 473, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 3432, 378, 913, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.70/0.88 tff(3926,plain,
% 0.70/0.88 ($false),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[314, 3925])).
% 0.70/0.88 tff(3927,plain,((i13 = sk(a_1449, a_1489)) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i24 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i17 = sk(a_1449, a_1489)) | (i1 = sk(a_1449, a_1489)) | (i16 = sk(a_1449, a_1489)) | (i2 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i12 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.70/0.88 tff(3928,plain,
% 0.70/0.88 (i13 = sk(a_1449, a_1489)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3927, 1252, 557, 559, 923, 925, 927, 1103, 110, 1478, 2031, 2761, 3390, 3471, 309, 3442, 3405, 3403, 3158, 3363, 2810, 2486, 2484, 2482, 1084, 910, 332, 80, 70, 3365, 3100, 3593, 3573, 3594, 3576, 1479, 1477, 1474, 3357, 2203, 3343, 3590, 2780, 528, 2783])).
% 0.70/0.88 tff(3929,plain,
% 0.70/0.88 ((i13 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3928])).
% 0.70/0.88 tff(3930,plain,
% 0.70/0.88 ((i13 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(transitivity,[status(thm)],[3929, 2133])).
% 0.70/0.88 tff(3931,plain,
% 0.70/0.88 ((~(i13 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3930])).
% 0.70/0.88 tff(3932,plain,
% 0.70/0.88 ((~(i13 = i14)) <=> (~(i13 = i14))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(3933,axiom,(~(i13 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp460')).
% 0.70/0.88 tff(3934,plain,
% 0.70/0.88 (~(i13 = i14)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 0.70/0.88 tff(3935,plain,
% 0.70/0.88 (~(i14 = sk(a_1449, a_1489))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[3934, 3931])).
% 0.70/0.88 tff(3936,plain,
% 0.70/0.88 (select(store(store(a_1460, i31, e31), i13, e13), i13) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[1763, 3928])).
% 0.70/0.88 tff(3937,plain,
% 0.70/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1460, i31, e31), i13, e13), i13) = e13)),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(3938,plain,
% 0.70/0.88 (select(store(store(a_1460, i31, e31), i13, e13), i13) = e13),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3937, 97])).
% 0.70/0.88 tff(3939,plain,
% 0.70/0.88 (e13 = select(store(store(a_1460, i31, e31), i13, e13), i13)),
% 0.70/0.88 inference(symmetry,[status(thm)],[3938])).
% 0.70/0.88 tff(3940,plain,
% 0.70/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1420, i12, e12), i13, e13), i13) = e13)),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(3941,plain,
% 0.70/0.88 (select(store(store(a_1420, i12, e12), i13, e13), i13) = e13),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[3940, 97])).
% 0.70/0.88 tff(3942,plain,
% 0.70/0.88 (sk(a_1449, a_1489) = i13),
% 0.70/0.88 inference(symmetry,[status(thm)],[3928])).
% 0.70/0.88 tff(3943,plain,
% 0.70/0.88 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1420, i12, e12), i13, e13), i13)),
% 0.70/0.88 inference(monotonicity,[status(thm)],[3805, 3942])).
% 0.70/0.88 tff(3944,plain,
% 0.70/0.88 (select(store(a_1421, i13, e13), sk(a_1449, a_1489)) = e_1492),
% 0.70/0.88 inference(transitivity,[status(thm)],[3943, 3941, 3939, 3936, 3592, 1745, 3443, 1734, 3587, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3584, 1647, 3364, 1628, 3345, 1609, 3581, 1590, 3359, 1571, 2811, 1560, 3578, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3575, 473, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 3572, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.73/0.88 tff(3945,plain,
% 0.73/0.88 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[128, 33, 3570])).
% 0.73/0.88 tff(3946,plain,
% 0.73/0.88 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3945])).
% 0.73/0.88 tff(3947,plain,
% 0.73/0.88 (select(store(a_1432, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3101])).
% 0.73/0.88 tff(3948,plain,
% 0.73/0.88 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3366])).
% 0.73/0.88 tff(3949,plain,
% 0.73/0.88 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[765, 33, 3579])).
% 0.73/0.88 tff(3950,plain,
% 0.73/0.88 (select(store(a_1429, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3949])).
% 0.73/0.88 tff(3951,plain,
% 0.73/0.88 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[787, 3582])).
% 0.73/0.88 tff(3952,plain,
% 0.73/0.88 (select(store(a_1428, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3951])).
% 0.73/0.88 tff(3953,plain,
% 0.73/0.88 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[808, 3585])).
% 0.73/0.88 tff(3954,plain,
% 0.73/0.88 (select(store(a_1427, i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3953])).
% 0.73/0.88 tff(3955,plain,
% 0.73/0.88 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3589])).
% 0.73/0.88 tff(3956,plain,
% 0.73/0.88 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3614])).
% 0.73/0.88 tff(3957,plain,
% 0.73/0.88 (select(store(a_1423, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3615])).
% 0.73/0.88 tff(3958,plain,
% 0.73/0.88 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = e_1491),
% 0.73/0.88 inference(transitivity,[status(thm)],[1259, 1253, 1248, 3957, 869, 3956, 848, 3955, 827, 3526, 816, 3954, 795, 3952, 774, 3950, 753, 3519, 732, 3948, 711, 3947, 690, 2971, 669, 2032, 648, 2030, 637, 2029, 116, 3946, 135, 2785, 154, 2782, 173, 1104, 192, 928, 211, 926, 230, 924, 249, 1491, 268, 560, 287, 558, 307, 556, 50, 5])).
% 0.73/0.88 tff(3959,plain,
% 0.73/0.88 ((select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.73/0.88 inference(monotonicity,[status(thm)],[3958, 3944])).
% 0.73/0.88 tff(3960,plain,
% 0.73/0.88 ((e_1491 = e_1492) <=> (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489)))),
% 0.73/0.88 inference(symmetry,[status(thm)],[3959])).
% 0.73/0.88 tff(3961,plain,
% 0.73/0.88 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))))),
% 0.73/0.88 inference(monotonicity,[status(thm)],[3960])).
% 0.73/0.88 tff(3962,plain,
% 0.73/0.88 (~(select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489)))),
% 0.73/0.88 inference(modus_ponens,[status(thm)],[314, 3961])).
% 0.73/0.88 tff(3963,plain,
% 0.73/0.88 ($false),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[1272, 3962, 3935])).
% 0.73/0.88 tff(3964,plain,((i16 = sk(a_1449, a_1489)) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i24 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i17 = sk(a_1449, a_1489)) | (i1 = sk(a_1449, a_1489)) | (i2 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.89 tff(3965,plain,
% 0.73/0.89 (i16 = sk(a_1449, a_1489)),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3964, 3593, 3405, 3403, 3158, 3363, 2810, 2486, 2484, 2482, 910, 332, 80, 70, 3471, 3390, 2761, 2031, 1478, 110, 1103, 927, 925, 923, 559, 557, 309, 3365, 3100, 3442, 3573, 3576, 1479, 1477, 1474, 3357, 2203, 3343, 2780, 528, 2783, 1083])).
% 0.73/0.89 tff(3966,plain,
% 0.73/0.89 ((i13 = i16) <=> (i13 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(3967,plain,
% 0.73/0.89 ((~(i13 = i16)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3966])).
% 0.73/0.89 tff(3968,plain,
% 0.73/0.89 ((~(i13 = i16)) <=> (~(i13 = i16))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(3969,axiom,(~(i13 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp458')).
% 0.73/0.89 tff(3970,plain,
% 0.73/0.89 (~(i13 = i16)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 0.73/0.89 tff(3971,plain,
% 0.73/0.89 (~(i13 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3970, 3967])).
% 0.73/0.89 tff(3972,plain,
% 0.73/0.89 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1775, 3971])).
% 0.73/0.89 tff(3973,plain,
% 0.73/0.89 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[3972])).
% 0.73/0.89 tff(3974,plain,
% 0.73/0.89 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1823, 33, 3588])).
% 0.73/0.89 tff(3975,plain,
% 0.73/0.89 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[3974])).
% 0.73/0.89 tff(3976,plain,
% 0.73/0.89 ((i6 = i16) <=> (i6 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(3977,plain,
% 0.73/0.89 ((~(i6 = i16)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3976])).
% 0.73/0.89 tff(3978,plain,
% 0.73/0.89 ((~(i6 = i16)) <=> (~(i6 = i16))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(3979,axiom,(~(i6 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp668')).
% 0.73/0.89 tff(3980,plain,
% 0.73/0.89 (~(i6 = i16)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 0.73/0.89 tff(3981,plain,
% 0.73/0.89 (~(i6 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3980, 3977])).
% 0.73/0.89 tff(3982,plain,
% 0.73/0.89 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1841, 33, 3981])).
% 0.73/0.89 tff(3983,plain,
% 0.73/0.89 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[3982])).
% 0.73/0.89 tff(3984,plain,
% 0.73/0.89 ((i7 = i16) <=> (i7 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(3985,plain,
% 0.73/0.89 ((~(i7 = i16)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3984])).
% 0.73/0.89 tff(3986,plain,
% 0.73/0.89 ((~(i7 = i16)) <=> (~(i7 = i16))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(3987,axiom,(~(i7 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp635')).
% 0.73/0.89 tff(3988,plain,
% 0.73/0.89 (~(i7 = i16)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 0.73/0.89 tff(3989,plain,
% 0.73/0.89 (~(i7 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3988, 3985])).
% 0.73/0.89 tff(3990,plain,
% 0.73/0.89 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[2926, 33, 3989])).
% 0.73/0.89 tff(3991,plain,
% 0.73/0.89 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[3990])).
% 0.73/0.89 tff(3992,plain,
% 0.73/0.89 ((i11 = i16) <=> (i11 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(3993,plain,
% 0.73/0.89 ((~(i11 = i16)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3992])).
% 0.73/0.89 tff(3994,plain,
% 0.73/0.89 ((~(i11 = i16)) <=> (~(i11 = i16))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(3995,axiom,(~(i11 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp513')).
% 0.73/0.89 tff(3996,plain,
% 0.73/0.89 (~(i11 = i16)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 0.73/0.89 tff(3997,plain,
% 0.73/0.89 (~(i11 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[3996, 3993])).
% 0.73/0.89 tff(3998,plain,
% 0.73/0.89 (select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489)) = select(store(a_1451, i24, e24), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3244, 33, 3997])).
% 0.73/0.89 tff(3999,plain,
% 0.73/0.89 (select(store(a_1451, i24, e24), sk(a_1449, a_1489)) = select(store(store(a_1451, i24, e24), i11, e11), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[3998])).
% 0.73/0.89 tff(4000,plain,
% 0.73/0.89 ((i14 = i16) <=> (i14 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(4001,plain,
% 0.73/0.89 ((~(i14 = i16)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4000])).
% 0.73/0.89 tff(4002,plain,
% 0.73/0.89 ((~(i14 = i16)) <=> (~(i14 = i16))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(4003,axiom,(~(i14 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp432')).
% 0.73/0.89 tff(4004,plain,
% 0.73/0.89 (~(i14 = i16)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 0.73/0.89 tff(4005,plain,
% 0.73/0.89 (~(i14 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4004, 4001])).
% 0.73/0.89 tff(4006,plain,
% 0.73/0.89 (select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489)) = select(store(a1, i16, e16), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3839, 33, 4005])).
% 0.73/0.89 tff(4007,plain,
% 0.73/0.89 (select(store(a1, i16, e16), sk(a_1449, a_1489)) = select(store(store(a1, i16, e16), i14, e14), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[4006])).
% 0.73/0.89 tff(4008,plain,
% 0.73/0.89 (select(store(a1, i16, e16), i16) = select(store(a1, i16, e16), sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3965])).
% 0.73/0.89 tff(4009,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i16, e16), i16) = e16)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4010,plain,
% 0.73/0.89 (select(store(a1, i16, e16), i16) = e16),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4009, 97])).
% 0.73/0.89 tff(4011,plain,
% 0.73/0.89 (e16 = select(store(a1, i16, e16), i16)),
% 0.73/0.89 inference(symmetry,[status(thm)],[4010])).
% 0.73/0.89 tff(4012,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1423, i15, e15), i16, e16), i16) = e16)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4013,plain,
% 0.73/0.89 (select(store(store(a_1423, i15, e15), i16, e16), i16) = e16),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4012, 97])).
% 0.73/0.89 tff(4014,plain,
% 0.73/0.89 (sk(a_1449, a_1489) = i16),
% 0.73/0.89 inference(symmetry,[status(thm)],[3965])).
% 0.73/0.89 tff(4015,plain,
% 0.73/0.89 (select(store(a_1424, i16, e16), sk(a_1449, a_1489)) = select(store(store(a_1423, i15, e15), i16, e16), i16)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3811, 4014])).
% 0.73/0.89 tff(4016,plain,
% 0.73/0.89 (e_1491 = e_1492),
% 0.73/0.89 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 923, 3281, 925, 3279, 927, 3277, 1103, 3275, 2781, 3273, 2784, 3271, 3945, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2761, 3262, 3101, 3423, 3366, 3422, 3390, 3420, 3949, 3419, 3951, 3475, 3953, 3473, 3471, 3815, 3589, 3814, 3614, 4015, 4013, 4011, 4008, 4007, 3836, 3830, 3825, 3999, 3235, 3229, 3224, 3771, 2935, 3991, 2916, 2910, 2905, 3983, 1832, 3975, 1813, 1807, 1802, 2886, 1783, 3973, 1764, 3592, 1745, 3443, 1734, 3587, 1715, 3406, 1704, 3404, 1685, 3159, 1666, 3584, 1647, 3364, 1628, 3345, 1609, 3581, 1590, 3359, 1571, 2811, 1560, 3578, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3575, 473, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 3572, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 71, 329, 13])).
% 0.73/0.89 tff(4017,plain,
% 0.73/0.89 ($false),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[314, 4016])).
% 0.73/0.89 tff(4018,plain,((i17 = sk(a_1449, a_1489)) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489)))) | (~(select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489)))) | (~(select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(a_1426, i18, e18), sk(a_1449, a_1489)))) | (~(select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489)))) | (~(select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489)))) | (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))) | (~(select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489)))) | (i24 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i1 = sk(a_1449, a_1489)) | (i2 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.89 tff(4019,plain,
% 0.73/0.89 (i17 = sk(a_1449, a_1489)),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4018, 3368, 557, 559, 896, 898, 927, 1103, 110, 1478, 2031, 2790, 309, 820, 1738, 1708, 3398, 2847, 3363, 2810, 2486, 2484, 2482, 910, 332, 80, 38, 3365, 3100, 2780, 528, 2783, 3351, 3354, 1479, 1477, 1474, 3357, 2203, 3343, 1083])).
% 0.73/0.89 tff(4020,plain,
% 0.73/0.89 ((i13 = i17) <=> (i13 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4019])).
% 0.73/0.89 tff(4021,plain,
% 0.73/0.89 ((~(i13 = i17)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4020])).
% 0.73/0.89 tff(4022,plain,
% 0.73/0.89 ((~(i13 = i17)) <=> (~(i13 = i17))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(4023,axiom,(~(i13 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp457')).
% 0.73/0.89 tff(4024,plain,
% 0.73/0.89 (~(i13 = i17)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 0.73/0.89 tff(4025,plain,
% 0.73/0.89 (~(i13 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4024, 4021])).
% 0.73/0.89 tff(4026,plain,
% 0.73/0.89 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1775, 4025])).
% 0.73/0.89 tff(4027,plain,
% 0.73/0.89 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[4026])).
% 0.73/0.89 tff(4028,plain,
% 0.73/0.89 (select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489)) = select(store(a_1457, i6, e6), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1823, 33, 3482])).
% 0.73/0.89 tff(4029,plain,
% 0.73/0.89 (select(store(a_1457, i6, e6), sk(a_1449, a_1489)) = select(store(store(a_1457, i6, e6), i18, e18), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[4028])).
% 0.73/0.89 tff(4030,plain,
% 0.73/0.89 ((i6 = i17) <=> (i6 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4019])).
% 0.73/0.89 tff(4031,plain,
% 0.73/0.89 ((~(i6 = i17)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4030])).
% 0.73/0.89 tff(4032,plain,
% 0.73/0.89 ((~(i6 = i17)) <=> (~(i6 = i17))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(4033,axiom,(~(i6 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp667')).
% 0.73/0.89 tff(4034,plain,
% 0.73/0.89 (~(i6 = i17)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4033, 4032])).
% 0.73/0.89 tff(4035,plain,
% 0.73/0.89 (~(i6 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4034, 4031])).
% 0.73/0.89 tff(4036,plain,
% 0.73/0.89 (select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489)) = select(store(a_1456, i32, e32), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1841, 33, 4035])).
% 0.73/0.89 tff(4037,plain,
% 0.73/0.89 (select(store(a_1456, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1456, i32, e32), i6, e6), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[4036])).
% 0.73/0.89 tff(4038,plain,
% 0.73/0.89 ((i7 = i17) <=> (i7 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4019])).
% 0.73/0.89 tff(4039,plain,
% 0.73/0.89 ((~(i7 = i17)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4038])).
% 0.73/0.89 tff(4040,plain,
% 0.73/0.89 ((~(i7 = i17)) <=> (~(i7 = i17))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(4041,axiom,(~(i7 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp634')).
% 0.73/0.89 tff(4042,plain,
% 0.73/0.89 (~(i7 = i17)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 0.73/0.89 tff(4043,plain,
% 0.73/0.89 (~(i7 = sk(a_1449, a_1489))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[4042, 4039])).
% 0.73/0.89 tff(4044,plain,
% 0.73/0.89 (select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489)) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[2926, 33, 4043])).
% 0.73/0.89 tff(4045,plain,
% 0.73/0.89 (select(store(a_1454, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1454, i17, e17), i7, e7), sk(a_1449, a_1489))),
% 0.73/0.89 inference(symmetry,[status(thm)],[4044])).
% 0.73/0.89 tff(4046,plain,
% 0.73/0.89 (select(store(store(a_1453, i25, e25), i17, e17), i17) = select(store(a_1454, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[2934, 4019])).
% 0.73/0.89 tff(4047,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1453, i25, e25), i17, e17), i17) = e17)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4048,plain,
% 0.73/0.89 (select(store(store(a_1453, i25, e25), i17, e17), i17) = e17),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4047, 97])).
% 0.73/0.89 tff(4049,plain,
% 0.73/0.89 (e17 = select(store(store(a_1453, i25, e25), i17, e17), i17)),
% 0.73/0.89 inference(symmetry,[status(thm)],[4048])).
% 0.73/0.89 tff(4050,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1424, i16, e16), i17, e17), i17) = e17)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4051,plain,
% 0.73/0.89 (select(store(store(a_1424, i16, e16), i17, e17), i17) = e17),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4050, 97])).
% 0.73/0.89 tff(4052,plain,
% 0.73/0.89 (sk(a_1449, a_1489) = i17),
% 0.73/0.89 inference(symmetry,[status(thm)],[4019])).
% 0.73/0.89 tff(4053,plain,
% 0.73/0.89 (select(store(a_1425, i17, e17), sk(a_1449, a_1489)) = select(store(store(a_1424, i16, e16), i17, e17), i17)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3813, 4052])).
% 0.73/0.89 tff(4054,plain,
% 0.73/0.89 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[808, 3427])).
% 0.73/0.89 tff(4055,plain,
% 0.73/0.89 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[787, 3395])).
% 0.73/0.89 tff(4056,plain,
% 0.73/0.89 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[765, 33, 3360])).
% 0.73/0.89 tff(4057,plain,
% 0.73/0.89 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[128, 33, 3311])).
% 0.73/0.89 tff(4058,plain,
% 0.73/0.89 (e_1491 = e_1492),
% 0.73/0.89 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 896, 3281, 898, 3279, 927, 3277, 1103, 3275, 2781, 3273, 2784, 3271, 4057, 3270, 110, 3268, 1478, 3266, 2031, 3264, 2790, 3262, 3101, 3423, 3366, 3422, 3368, 3420, 4056, 3419, 4055, 3475, 4054, 3473, 820, 3815, 3483, 4053, 4051, 4049, 4046, 4045, 2916, 2910, 2905, 4037, 1832, 4029, 1813, 1807, 1802, 2886, 1783, 4027, 1764, 3569, 1745, 1739, 1734, 3429, 1715, 1709, 1704, 3399, 1685, 2848, 1666, 3397, 1647, 3364, 1628, 3345, 1609, 3362, 1590, 3359, 1571, 2811, 1560, 3356, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3353, 473, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 3313, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.73/0.89 tff(4059,plain,
% 0.73/0.89 ($false),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[314, 4058])).
% 0.73/0.89 tff(4060,plain,((i23 = sk(a_1449, a_1489)) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489)))) | (~(select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i24 = sk(a_1449, a_1489)) | (i25 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i8 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i10 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i26 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.89 tff(4061,plain,
% 0.73/0.89 (i23 = sk(a_1449, a_1489)),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4060, 2525, 557, 559, 927, 1103, 110, 1478, 2008, 3330, 2810, 2486, 2484, 2482, 910, 332, 80, 2780, 528, 2783, 3350, 3327, 1479, 1477, 1474, 3343, 2203, 309, 1083, 884, 27, 897, 2789])).
% 0.73/0.89 tff(4062,plain,
% 0.73/0.89 (select(store(store(a_1465, i35, e35), i23, e23), i23) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4061])).
% 0.73/0.89 tff(4063,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1465, i35, e35), i23, e23), i23) = e23)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4064,plain,
% 0.73/0.89 (select(store(store(a_1465, i35, e35), i23, e23), i23) = e23),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4063, 97])).
% 0.73/0.89 tff(4065,plain,
% 0.73/0.89 (e23 = select(store(store(a_1465, i35, e35), i23, e23), i23)),
% 0.73/0.89 inference(symmetry,[status(thm)],[4064])).
% 0.73/0.89 tff(4066,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1430, i22, e22), i23, e23), i23) = e23)),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(4067,plain,
% 0.73/0.89 (select(store(store(a_1430, i22, e22), i23, e23), i23) = e23),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[4066, 97])).
% 0.73/0.89 tff(4068,plain,
% 0.73/0.89 (sk(a_1449, a_1489) = i23),
% 0.73/0.89 inference(symmetry,[status(thm)],[4061])).
% 0.73/0.89 tff(4069,plain,
% 0.73/0.89 (select(store(a_1431, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1430, i22, e22), i23, e23), i23)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3421, 4068])).
% 0.73/0.89 tff(4070,plain,
% 0.73/0.89 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[724, 3350])).
% 0.73/0.89 tff(4071,plain,
% 0.73/0.89 (e_1491 = e_1492),
% 0.73/0.89 inference(transitivity,[status(thm)],[4, 515, 309, 512, 557, 3286, 559, 3285, 530, 3283, 896, 3281, 898, 3279, 927, 3277, 1103, 3275, 2781, 3273, 2784, 3271, 4057, 3270, 110, 3268, 1478, 3266, 2008, 3264, 2790, 3262, 3328, 3423, 4070, 4069, 4067, 4065, 4062, 1685, 3349, 1666, 3347, 1647, 2526, 1628, 3345, 1609, 3338, 1590, 3332, 1571, 2811, 1560, 3321, 1057, 2487, 1046, 2485, 1035, 2483, 492, 3316, 473, 2205, 454, 2202, 435, 1476, 416, 2201, 397, 3313, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.73/0.89 tff(4072,plain,
% 0.73/0.89 ($false),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[314, 4071])).
% 0.73/0.89 tff(4073,plain,((i10 = sk(a_1449, a_1489)) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (i21 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i26 = sk(a_1449, a_1489)) | (i27 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.90 tff(4074,plain,
% 0.73/0.90 (i10 = sk(a_1449, a_1489)),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4073, 3342, 557, 559, 927, 1103, 110, 1478, 2810, 2486, 2484, 2482, 910, 332, 80, 309, 2780, 528, 2783, 1479, 1477, 1474, 2203, 1083, 884, 27, 897, 2789, 1480])).
% 0.73/0.90 tff(4075,plain,
% 0.73/0.90 (sk(a_1449, a_1489) = i10),
% 0.73/0.90 inference(symmetry,[status(thm)],[4074])).
% 0.73/0.90 tff(4076,plain,
% 0.73/0.90 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4075])).
% 0.73/0.90 tff(4077,plain,
% 0.73/0.90 (select(store(store(a_1469, i27, e27), i10, e10), i10) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.73/0.90 inference(symmetry,[status(thm)],[4076])).
% 0.73/0.90 tff(4078,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1469, i27, e27), i10, e10), i10) = e10)),
% 0.73/0.90 inference(quant_inst,[status(thm)],[])).
% 0.73/0.90 tff(4079,plain,
% 0.73/0.90 (select(store(store(a_1469, i27, e27), i10, e10), i10) = e10),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4078, 97])).
% 0.73/0.90 tff(4080,plain,
% 0.73/0.90 (e10 = select(store(store(a_1469, i27, e27), i10, e10), i10)),
% 0.73/0.90 inference(symmetry,[status(thm)],[4079])).
% 0.73/0.90 tff(4081,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1417, i9, e9), i10, e10), i10) = e10)),
% 0.73/0.90 inference(quant_inst,[status(thm)],[])).
% 0.73/0.90 tff(4082,plain,
% 0.73/0.90 (select(store(store(a_1417, i9, e9), i10, e10), i10) = e10),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4081, 97])).
% 0.73/0.90 tff(4083,plain,
% 0.73/0.90 (select(store(store(a_1417, i9, e9), i10, e10), i10) = select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4084,plain,
% 0.73/0.90 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1417, i9, e9), i10, e10), i10)),
% 0.73/0.90 inference(symmetry,[status(thm)],[4083])).
% 0.73/0.90 tff(4085,plain,
% 0.73/0.90 ((i10 = i11) <=> (sk(a_1449, a_1489) = i11)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4086,plain,
% 0.73/0.90 ((i10 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4085, 2163])).
% 0.73/0.90 tff(4087,plain,
% 0.73/0.90 ((~(i10 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4086])).
% 0.73/0.90 tff(4088,plain,
% 0.73/0.90 ((~(i10 = i11)) <=> (~(i10 = i11))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4089,axiom,(~(i10 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp547')).
% 0.73/0.90 tff(4090,plain,
% 0.73/0.90 (~(i10 = i11)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4089, 4088])).
% 0.73/0.90 tff(4091,plain,
% 0.73/0.90 (~(i11 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4090, 4087])).
% 0.73/0.90 tff(4092,plain,
% 0.73/0.90 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1334, 33, 4091])).
% 0.73/0.90 tff(4093,plain,
% 0.73/0.90 ((i10 = i13) <=> (sk(a_1449, a_1489) = i13)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4094,plain,
% 0.73/0.90 ((i10 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4093, 2143])).
% 0.73/0.90 tff(4095,plain,
% 0.73/0.90 ((~(i10 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4094])).
% 0.73/0.90 tff(4096,plain,
% 0.73/0.90 ((~(i10 = i13)) <=> (~(i10 = i13))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4097,axiom,(~(i10 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp545')).
% 0.73/0.90 tff(4098,plain,
% 0.73/0.90 (~(i10 = i13)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 0.73/0.90 tff(4099,plain,
% 0.73/0.90 (~(i13 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4098, 4095])).
% 0.73/0.90 tff(4100,plain,
% 0.73/0.90 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1292, 33, 4099])).
% 0.73/0.90 tff(4101,plain,
% 0.73/0.90 ((i10 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4102,plain,
% 0.73/0.90 ((i10 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4101, 2133])).
% 0.73/0.90 tff(4103,plain,
% 0.73/0.90 ((~(i10 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4102])).
% 0.73/0.90 tff(4104,plain,
% 0.73/0.90 ((~(i10 = i14)) <=> (~(i10 = i14))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4105,axiom,(~(i10 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp544')).
% 0.73/0.90 tff(4106,plain,
% 0.73/0.90 (~(i10 = i14)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 0.73/0.90 tff(4107,plain,
% 0.73/0.90 (~(i14 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4106, 4103])).
% 0.73/0.90 tff(4108,plain,
% 0.73/0.90 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1271, 33, 4107])).
% 0.73/0.90 tff(4109,plain,
% 0.73/0.90 ((i10 = i16) <=> (sk(a_1449, a_1489) = i16)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4110,plain,
% 0.73/0.90 ((i10 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4109, 2123])).
% 0.73/0.90 tff(4111,plain,
% 0.73/0.90 ((~(i10 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4110])).
% 0.73/0.90 tff(4112,plain,
% 0.73/0.90 ((~(i10 = i16)) <=> (~(i10 = i16))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4113,axiom,(~(i10 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp542')).
% 0.73/0.90 tff(4114,plain,
% 0.73/0.90 (~(i10 = i16)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4113, 4112])).
% 0.73/0.90 tff(4115,plain,
% 0.73/0.90 (~(i16 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4114, 4111])).
% 0.73/0.90 tff(4116,plain,
% 0.73/0.90 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[877, 33, 4115])).
% 0.73/0.90 tff(4117,plain,
% 0.73/0.90 ((i10 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4118,plain,
% 0.73/0.90 ((i10 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4117, 2113])).
% 0.73/0.90 tff(4119,plain,
% 0.73/0.90 ((~(i10 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4118])).
% 0.73/0.90 tff(4120,plain,
% 0.73/0.90 ((~(i10 = i17)) <=> (~(i10 = i17))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4121,axiom,(~(i10 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp541')).
% 0.73/0.90 tff(4122,plain,
% 0.73/0.90 (~(i10 = i17)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 0.73/0.90 tff(4123,plain,
% 0.73/0.90 (~(i17 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4122, 4119])).
% 0.73/0.90 tff(4124,plain,
% 0.73/0.90 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[860, 33, 4123])).
% 0.73/0.90 tff(4125,plain,
% 0.73/0.90 ((i10 = i18) <=> (sk(a_1449, a_1489) = i18)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4126,plain,
% 0.73/0.90 ((i10 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4125, 2103])).
% 0.73/0.90 tff(4127,plain,
% 0.73/0.90 ((~(i10 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4126])).
% 0.73/0.90 tff(4128,plain,
% 0.73/0.90 ((~(i10 = i18)) <=> (~(i10 = i18))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4129,axiom,(~(i10 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp540')).
% 0.73/0.90 tff(4130,plain,
% 0.73/0.90 (~(i10 = i18)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4129, 4128])).
% 0.73/0.90 tff(4131,plain,
% 0.73/0.90 (~(i18 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4130, 4127])).
% 0.73/0.90 tff(4132,plain,
% 0.73/0.90 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[839, 33, 4131])).
% 0.73/0.90 tff(4133,plain,
% 0.73/0.90 ((i10 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4134,plain,
% 0.73/0.90 ((i10 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4133, 2093])).
% 0.73/0.90 tff(4135,plain,
% 0.73/0.90 ((~(i10 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4134])).
% 0.73/0.90 tff(4136,plain,
% 0.73/0.90 ((~(i10 = i20)) <=> (~(i10 = i20))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4137,axiom,(~(i10 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp538')).
% 0.73/0.90 tff(4138,plain,
% 0.73/0.90 (~(i10 = i20)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 0.73/0.90 tff(4139,plain,
% 0.73/0.90 (~(i20 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4138, 4135])).
% 0.73/0.90 tff(4140,plain,
% 0.73/0.90 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[807, 33, 4139])).
% 0.73/0.90 tff(4141,plain,
% 0.73/0.90 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[786, 33, 3342])).
% 0.73/0.90 tff(4142,plain,
% 0.73/0.90 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[765, 33, 3336])).
% 0.73/0.90 tff(4143,plain,
% 0.73/0.90 ((i10 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4074])).
% 0.73/0.90 tff(4144,plain,
% 0.73/0.90 ((i10 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(transitivity,[status(thm)],[4143, 2063])).
% 0.73/0.90 tff(4145,plain,
% 0.73/0.90 ((~(i10 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4144])).
% 0.73/0.90 tff(4146,plain,
% 0.73/0.90 ((~(i10 = i23)) <=> (~(i10 = i23))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4147,axiom,(~(i10 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp535')).
% 0.73/0.90 tff(4148,plain,
% 0.73/0.90 (~(i10 = i23)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 0.73/0.90 tff(4149,plain,
% 0.73/0.90 (~(i23 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4148, 4145])).
% 0.73/0.90 tff(4150,plain,
% 0.73/0.90 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[745, 4149])).
% 0.73/0.90 tff(4151,plain,
% 0.73/0.90 (e_1491 = e_1492),
% 0.73/0.90 inference(transitivity,[status(thm)],[4, 310, 309, 308, 557, 288, 559, 269, 530, 250, 896, 231, 898, 212, 927, 193, 1103, 174, 2781, 155, 2784, 136, 4057, 117, 110, 2764, 1478, 2763, 2008, 2762, 2790, 2760, 3328, 2751, 4070, 2740, 4150, 2729, 4142, 2718, 4141, 2707, 4140, 2696, 820, 2695, 4132, 2684, 4124, 2673, 4116, 2662, 1252, 2661, 4108, 2650, 4100, 2639, 3674, 2628, 4092, 2617, 4084, 4082, 4080, 4077, 3341, 3338, 3335, 3332, 3326, 2811, 3323, 3321, 3318, 2487, 2557, 2485, 2554, 2483, 2551, 3316, 2545, 2205, 2542, 2202, 2539, 1476, 1473, 2201, 961, 3313, 895, 1085, 892, 911, 889, 333, 886, 81, 79, 39, 26, 13])).
% 0.73/0.90 tff(4152,plain,
% 0.73/0.90 ($false),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[314, 4151])).
% 0.73/0.90 tff(4153,plain,((i21 = sk(a_1449, a_1489)) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (i12 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i9 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i26 = sk(a_1449, a_1489)) | (i27 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.90 tff(4154,plain,
% 0.73/0.90 ($false),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4153, 3310, 3303, 332, 910, 2482, 2484, 2486, 2789, 1478, 110, 1103, 927, 559, 557, 309, 2810, 1083, 27, 2780, 528, 2783, 1479, 1477, 1474, 3295, 884, 897, 80, 1480])).
% 0.73/0.90 tff(4155,plain,((~(i10 = sk(a_1449, a_1489))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))) | (~(select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(a_1474, i2, e2), sk(a_1449, a_1489)))) | (i26 = sk(a_1449, a_1489)) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489)))) | (~(select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489)))) | (~(select(store(store(a_1447, i39, e39), i40, e40), sk(a_1449, a_1489)) = select(store(a_1447, i39, e39), sk(a_1449, a_1489)))) | (~(select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i32 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i31 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (i27 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.90 tff(4156,plain,
% 0.73/0.90 (~(i10 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4155, 496, 910, 332, 2450, 1050, 2535, 1478, 110, 2006, 927, 2004, 320, 55, 2770, 1083, 27, 1845, 528, 2001, 1479, 1477, 1474, 884, 897, 80, 1480])).
% 0.73/0.90 tff(4157,plain,
% 0.73/0.90 (i23 = sk(a_1449, a_1489)),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4060, 4156, 320, 2004, 927, 2006, 110, 1478, 2008, 3294, 1050, 2535, 2450, 496, 910, 332, 80, 1845, 528, 2001, 2770, 2948, 1479, 1477, 1474, 3096, 2188, 3290, 1083, 884, 27, 897, 55])).
% 0.73/0.90 tff(4158,plain,
% 0.73/0.90 ((i21 = i23) <=> (i21 = sk(a_1449, a_1489))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[4157])).
% 0.73/0.90 tff(4159,plain,
% 0.73/0.90 ((i21 = sk(a_1449, a_1489)) <=> (i21 = i23)),
% 0.73/0.90 inference(symmetry,[status(thm)],[4158])).
% 0.73/0.90 tff(4160,plain,
% 0.73/0.90 (i21 = sk(a_1449, a_1489)),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4073, 4156, 320, 2004, 927, 2006, 110, 1478, 1050, 2535, 2450, 496, 910, 332, 80, 2770, 1845, 528, 2001, 1479, 1477, 1474, 2188, 1083, 884, 27, 897, 55, 1480])).
% 0.73/0.90 tff(4161,plain,
% 0.73/0.90 (i21 = i23),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4160, 4159])).
% 0.73/0.90 tff(4162,plain,
% 0.73/0.90 ((~(i21 = i23)) <=> (~(i21 = i23))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(4163,axiom,(~(i21 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp271')).
% 0.73/0.90 tff(4164,plain,
% 0.73/0.90 (~(i21 = i23)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 0.73/0.90 tff(4165,plain,
% 0.73/0.90 ($false),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[4164, 4161])).
% 0.73/0.90 tff(4166,plain,((i27 = sk(a_1449, a_1489)) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (i37 = sk(a_1449, a_1489)) | (i3 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.91 tff(4167,plain,
% 0.73/0.91 (i27 = sk(a_1449, a_1489)),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4166, 1479, 110, 1478, 910, 332, 80, 528, 927, 1477, 1474, 1083, 884, 27, 897, 14, 318])).
% 0.73/0.91 tff(4168,plain,
% 0.73/0.91 ((i10 = i27) <=> (i10 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4169,plain,
% 0.73/0.91 ((~(i10 = i27)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4168])).
% 0.73/0.91 tff(4170,plain,
% 0.73/0.91 ((~(i10 = i27)) <=> (~(i10 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4171,axiom,(~(i10 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp531')).
% 0.73/0.91 tff(4172,plain,
% 0.73/0.91 (~(i10 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 0.73/0.91 tff(4173,plain,
% 0.73/0.91 (~(i10 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4172, 4169])).
% 0.73/0.91 tff(4174,plain,
% 0.73/0.91 (select(store(a_1445, i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[2004])).
% 0.73/0.91 tff(4175,plain,
% 0.73/0.91 (select(store(a_1440, i32, e32), sk(a_1449, a_1489)) = select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[2006])).
% 0.73/0.91 tff(4176,plain,
% 0.73/0.91 (select(store(a_1439, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[1846])).
% 0.73/0.91 tff(4177,plain,
% 0.73/0.91 (select(store(a_1438, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[2007])).
% 0.73/0.91 tff(4178,plain,
% 0.73/0.91 (~(i30 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[955, 927, 910, 332, 80, 38, 1084, 898, 896, 530, 2004, 320, 55])).
% 0.73/0.91 tff(4179,plain,
% 0.73/0.91 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[128, 33, 4178])).
% 0.73/0.91 tff(4180,plain,
% 0.73/0.91 (select(store(a_1437, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4179])).
% 0.73/0.91 tff(4181,plain,
% 0.73/0.91 (select(store(store(a_1434, i26, e26), i27, e27), i27) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[647, 4167])).
% 0.73/0.91 tff(4182,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1434, i26, e26), i27, e27), i27) = e27)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(4183,plain,
% 0.73/0.91 (select(store(store(a_1434, i26, e26), i27, e27), i27) = e27),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4182, 97])).
% 0.73/0.91 tff(4184,plain,
% 0.73/0.91 (e27 = select(store(store(a_1434, i26, e26), i27, e27), i27)),
% 0.73/0.91 inference(symmetry,[status(thm)],[4183])).
% 0.73/0.91 tff(4185,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1468, i21, e21), i27, e27), i27) = e27)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(4186,plain,
% 0.73/0.91 (select(store(store(a_1468, i21, e21), i27, e27), i27) = e27),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4185, 97])).
% 0.73/0.91 tff(4187,plain,
% 0.73/0.91 (sk(a_1449, a_1489) = i27),
% 0.73/0.91 inference(symmetry,[status(thm)],[4167])).
% 0.73/0.91 tff(4188,plain,
% 0.73/0.91 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), i27)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[3374, 4187])).
% 0.73/0.91 tff(4189,plain,
% 0.73/0.91 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = e_1491),
% 0.73/0.91 inference(transitivity,[status(thm)],[4188, 4186, 4184, 4181, 2030, 637, 2029, 116, 4180, 135, 4177, 154, 4176, 173, 4175, 192, 928, 211, 1493, 230, 1492, 249, 1491, 268, 4174, 287, 321, 307, 56, 50, 5])).
% 0.73/0.91 tff(4190,plain,
% 0.73/0.91 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[389, 4178])).
% 0.73/0.91 tff(4191,plain,
% 0.73/0.91 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4190])).
% 0.73/0.91 tff(4192,plain,
% 0.73/0.91 ((i9 = i27) <=> (i9 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4193,plain,
% 0.73/0.91 ((~(i9 = i27)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4192])).
% 0.73/0.91 tff(4194,plain,
% 0.73/0.91 ((~(i9 = i27)) <=> (~(i9 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4195,axiom,(~(i9 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp561')).
% 0.73/0.91 tff(4196,plain,
% 0.73/0.91 (~(i9 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 0.73/0.91 tff(4197,plain,
% 0.73/0.91 (~(i9 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4196, 4193])).
% 0.73/0.91 tff(4198,plain,
% 0.73/0.91 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[465, 4197])).
% 0.73/0.91 tff(4199,plain,
% 0.73/0.91 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4198])).
% 0.73/0.91 tff(4200,plain,
% 0.73/0.91 ((i1 = i27) <=> (i1 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4201,plain,
% 0.73/0.91 ((~(i1 = i27)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4200])).
% 0.73/0.91 tff(4202,plain,
% 0.73/0.91 ((~(i1 = i27)) <=> (~(i1 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4203,axiom,(~(i1 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp837')).
% 0.73/0.91 tff(4204,plain,
% 0.73/0.91 (~(i1 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 0.73/0.91 tff(4205,plain,
% 0.73/0.91 (~(i1 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4204, 4201])).
% 0.73/0.91 tff(4206,plain,
% 0.73/0.91 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[483, 33, 4205])).
% 0.73/0.91 tff(4207,plain,
% 0.73/0.91 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4206])).
% 0.73/0.91 tff(4208,plain,
% 0.73/0.91 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[2450])).
% 0.73/0.91 tff(4209,plain,
% 0.73/0.91 ((i2 = i27) <=> (i2 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4210,plain,
% 0.73/0.91 ((~(i2 = i27)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4209])).
% 0.73/0.91 tff(4211,plain,
% 0.73/0.91 ((~(i2 = i27)) <=> (~(i2 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4212,axiom,(~(i2 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp799')).
% 0.73/0.91 tff(4213,plain,
% 0.73/0.91 (~(i2 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 0.73/0.91 tff(4214,plain,
% 0.73/0.91 (~(i2 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4213, 4210])).
% 0.73/0.91 tff(4215,plain,
% 0.73/0.91 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1066, 33, 4214])).
% 0.73/0.91 tff(4216,plain,
% 0.73/0.91 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4215])).
% 0.73/0.91 tff(4217,plain,
% 0.73/0.91 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[2770])).
% 0.73/0.91 tff(4218,plain,
% 0.73/0.91 ((i8 = i27) <=> (i8 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4219,plain,
% 0.73/0.91 ((~(i8 = i27)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4218])).
% 0.73/0.91 tff(4220,plain,
% 0.73/0.91 ((~(i8 = i27)) <=> (~(i8 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4221,axiom,(~(i8 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp592')).
% 0.73/0.91 tff(4222,plain,
% 0.73/0.91 (~(i8 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 0.73/0.91 tff(4223,plain,
% 0.73/0.91 (~(i8 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4222, 4219])).
% 0.73/0.91 tff(4224,plain,
% 0.73/0.91 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1581, 33, 4223])).
% 0.73/0.91 tff(4225,plain,
% 0.73/0.91 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4224])).
% 0.73/0.91 tff(4226,plain,
% 0.73/0.91 ((i22 = i27) <=> (i22 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4167])).
% 0.73/0.91 tff(4227,plain,
% 0.73/0.91 ((~(i22 = i27)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4226])).
% 0.73/0.91 tff(4228,plain,
% 0.73/0.91 ((~(i22 = i27)) <=> (~(i22 = i27))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4229,axiom,(~(i22 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp249')).
% 0.73/0.91 tff(4230,plain,
% 0.73/0.91 (~(i22 = i27)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 0.73/0.91 tff(4231,plain,
% 0.73/0.91 (~(i22 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4230, 4227])).
% 0.73/0.91 tff(4232,plain,
% 0.73/0.91 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1600, 33, 4231])).
% 0.73/0.91 tff(4233,plain,
% 0.73/0.91 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4232])).
% 0.73/0.91 tff(4234,plain,
% 0.73/0.91 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = e_1492),
% 0.73/0.91 inference(transitivity,[status(thm)],[1609, 4233, 1590, 4225, 1571, 4217, 1560, 4216, 1057, 1051, 1046, 4208, 1035, 497, 492, 4207, 473, 4199, 454, 2202, 435, 1476, 416, 2201, 397, 4191, 378, 1085, 358, 911, 339, 333, 331, 81, 330, 39, 329, 13])).
% 0.73/0.91 tff(4235,plain,
% 0.73/0.91 ((select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4234, 4189])).
% 0.73/0.91 tff(4236,plain,
% 0.73/0.91 ((select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.73/0.91 inference(transitivity,[status(thm)],[4235, 1])).
% 0.73/0.91 tff(4237,plain,
% 0.73/0.91 ((e_1491 = e_1492) <=> (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4236])).
% 0.73/0.91 tff(4238,plain,
% 0.73/0.91 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4237])).
% 0.73/0.91 tff(4239,plain,
% 0.73/0.91 (~(select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489)))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[314, 4238])).
% 0.73/0.91 tff(4240,plain,
% 0.73/0.91 ($false),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1619, 33, 4239, 4173])).
% 0.73/0.91 tff(4241,plain,((i3 = sk(a_1449, a_1489)) | (~(select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489)))) | (~(select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489)))) | (~(select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489)))) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i4 = sk(a_1449, a_1489)) | (i5 = sk(a_1449, a_1489)) | (i15 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.91 tff(4242,plain,
% 0.73/0.91 (i3 = sk(a_1449, a_1489)),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4241, 641, 635, 927, 910, 326, 69, 14, 318, 528, 1468, 1474, 1083, 884, 27, 897])).
% 0.73/0.91 tff(4243,plain,
% 0.73/0.91 (sk(a_1449, a_1489) = i3),
% 0.73/0.91 inference(symmetry,[status(thm)],[4242])).
% 0.73/0.91 tff(4244,plain,
% 0.73/0.91 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), i3)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[2537, 4243])).
% 0.73/0.91 tff(4245,plain,
% 0.73/0.91 (select(store(store(a_1479, i9, e9), i3, e3), i3) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.73/0.91 inference(symmetry,[status(thm)],[4244])).
% 0.73/0.91 tff(4246,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1479, i9, e9), i3, e3), i3) = e3)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(4247,plain,
% 0.73/0.91 (select(store(store(a_1479, i9, e9), i3, e3), i3) = e3),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4246, 97])).
% 0.73/0.91 tff(4248,plain,
% 0.73/0.91 (e3 = select(store(store(a_1479, i9, e9), i3, e3), i3)),
% 0.73/0.91 inference(symmetry,[status(thm)],[4247])).
% 0.73/0.91 tff(4249,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1410, i2, e2), i3, e3), i3) = e3)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(4250,plain,
% 0.73/0.91 (select(store(store(a_1410, i2, e2), i3, e3), i3) = e3),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[4249, 97])).
% 0.73/0.91 tff(4251,plain,
% 0.73/0.91 (select(store(store(a_1410, i2, e2), i3, e3), i3) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[2424, 4242])).
% 0.73/0.91 tff(4252,plain,
% 0.73/0.91 (select(store(a_1411, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1410, i2, e2), i3, e3), i3)),
% 0.73/0.91 inference(symmetry,[status(thm)],[4251])).
% 0.73/0.91 tff(4253,plain,
% 0.73/0.91 (select(store(store(a_1411, i3, e3), i4, e4), sk(a_1449, a_1489)) = select(store(a_1411, i3, e3), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[2417, 33, 1468])).
% 0.73/0.91 tff(4254,plain,
% 0.73/0.91 ((sk(a_1449, a_1489) = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(4255,plain,
% 0.73/0.91 ((i3 = i6) <=> (sk(a_1449, a_1489) = i6)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4256,plain,
% 0.73/0.91 ((i3 = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4255, 4254])).
% 0.73/0.91 tff(4257,plain,
% 0.73/0.91 ((~(i3 = i6)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4256])).
% 0.73/0.91 tff(4258,plain,
% 0.73/0.91 ((~(i3 = i6)) <=> (~(i3 = i6))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4259,axiom,(~(i3 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp783')).
% 0.73/0.91 tff(4260,plain,
% 0.73/0.91 (~(i3 = i6)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4259, 4258])).
% 0.73/0.91 tff(4261,plain,
% 0.73/0.91 (~(i6 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4260, 4257])).
% 0.73/0.91 tff(4262,plain,
% 0.73/0.91 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1439, 33, 4261])).
% 0.73/0.91 tff(4263,plain,
% 0.73/0.91 ((sk(a_1449, a_1489) = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(4264,plain,
% 0.73/0.91 ((i3 = i7) <=> (sk(a_1449, a_1489) = i7)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4265,plain,
% 0.73/0.91 ((i3 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4264, 4263])).
% 0.73/0.91 tff(4266,plain,
% 0.73/0.91 ((~(i3 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4265])).
% 0.73/0.91 tff(4267,plain,
% 0.73/0.91 ((~(i3 = i7)) <=> (~(i3 = i7))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4268,axiom,(~(i3 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp782')).
% 0.73/0.91 tff(4269,plain,
% 0.73/0.91 (~(i3 = i7)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4268, 4267])).
% 0.73/0.91 tff(4270,plain,
% 0.73/0.91 (~(i7 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4269, 4266])).
% 0.73/0.91 tff(4271,plain,
% 0.73/0.91 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1418, 33, 4270])).
% 0.73/0.91 tff(4272,plain,
% 0.73/0.91 ((sk(a_1449, a_1489) = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(4273,plain,
% 0.73/0.91 ((i3 = i8) <=> (sk(a_1449, a_1489) = i8)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4274,plain,
% 0.73/0.91 ((i3 = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4273, 4272])).
% 0.73/0.91 tff(4275,plain,
% 0.73/0.91 ((~(i3 = i8)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4274])).
% 0.73/0.91 tff(4276,plain,
% 0.73/0.91 ((~(i3 = i8)) <=> (~(i3 = i8))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4277,axiom,(~(i3 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp781')).
% 0.73/0.91 tff(4278,plain,
% 0.73/0.91 (~(i3 = i8)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 0.73/0.91 tff(4279,plain,
% 0.73/0.91 (~(i8 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4278, 4275])).
% 0.73/0.91 tff(4280,plain,
% 0.73/0.91 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1397, 33, 4279])).
% 0.73/0.91 tff(4281,plain,
% 0.73/0.91 ((sk(a_1449, a_1489) = i9) <=> (i9 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(4282,plain,
% 0.73/0.91 ((i3 = i9) <=> (sk(a_1449, a_1489) = i9)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4283,plain,
% 0.73/0.91 ((i3 = i9) <=> (i9 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4282, 4281])).
% 0.73/0.91 tff(4284,plain,
% 0.73/0.91 ((~(i3 = i9)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4283])).
% 0.73/0.91 tff(4285,plain,
% 0.73/0.91 ((~(i3 = i9)) <=> (~(i3 = i9))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4286,axiom,(~(i3 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp780')).
% 0.73/0.91 tff(4287,plain,
% 0.73/0.91 (~(i3 = i9)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4286, 4285])).
% 0.73/0.91 tff(4288,plain,
% 0.73/0.91 (~(i9 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4287, 4284])).
% 0.73/0.91 tff(4289,plain,
% 0.73/0.91 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[2955, 4288])).
% 0.73/0.91 tff(4290,plain,
% 0.73/0.91 ((i3 = i10) <=> (sk(a_1449, a_1489) = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4291,plain,
% 0.73/0.91 ((i3 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4290, 2178])).
% 0.73/0.91 tff(4292,plain,
% 0.73/0.91 ((~(i3 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4291])).
% 0.73/0.91 tff(4293,plain,
% 0.73/0.91 ((~(i3 = i10)) <=> (~(i3 = i10))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4294,axiom,(~(i3 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp779')).
% 0.73/0.91 tff(4295,plain,
% 0.73/0.91 (~(i3 = i10)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4294, 4293])).
% 0.73/0.91 tff(4296,plain,
% 0.73/0.91 (~(i10 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4295, 4292])).
% 0.73/0.91 tff(4297,plain,
% 0.73/0.91 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1355, 33, 4296])).
% 0.73/0.91 tff(4298,plain,
% 0.73/0.91 ((i3 = i11) <=> (sk(a_1449, a_1489) = i11)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4299,plain,
% 0.73/0.91 ((i3 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4298, 2163])).
% 0.73/0.91 tff(4300,plain,
% 0.73/0.91 ((~(i3 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4299])).
% 0.73/0.91 tff(4301,plain,
% 0.73/0.91 ((~(i3 = i11)) <=> (~(i3 = i11))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4302,axiom,(~(i3 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp778')).
% 0.73/0.91 tff(4303,plain,
% 0.73/0.91 (~(i3 = i11)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 0.73/0.91 tff(4304,plain,
% 0.73/0.91 (~(i11 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4303, 4300])).
% 0.73/0.91 tff(4305,plain,
% 0.73/0.91 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1334, 33, 4304])).
% 0.73/0.91 tff(4306,plain,
% 0.73/0.91 ((i3 = i12) <=> (sk(a_1449, a_1489) = i12)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4307,plain,
% 0.73/0.91 ((i3 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4306, 2153])).
% 0.73/0.91 tff(4308,plain,
% 0.73/0.91 ((~(i3 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4307])).
% 0.73/0.91 tff(4309,plain,
% 0.73/0.91 ((~(i3 = i12)) <=> (~(i3 = i12))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4310,axiom,(~(i3 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp777')).
% 0.73/0.91 tff(4311,plain,
% 0.73/0.91 (~(i3 = i12)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 0.73/0.91 tff(4312,plain,
% 0.73/0.91 (~(i12 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4311, 4308])).
% 0.73/0.91 tff(4313,plain,
% 0.73/0.91 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1313, 33, 4312])).
% 0.73/0.91 tff(4314,plain,
% 0.73/0.91 ((i3 = i13) <=> (sk(a_1449, a_1489) = i13)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4315,plain,
% 0.73/0.91 ((i3 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4314, 2143])).
% 0.73/0.91 tff(4316,plain,
% 0.73/0.91 ((~(i3 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4315])).
% 0.73/0.91 tff(4317,plain,
% 0.73/0.91 ((~(i3 = i13)) <=> (~(i3 = i13))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4318,axiom,(~(i3 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp776')).
% 0.73/0.91 tff(4319,plain,
% 0.73/0.91 (~(i3 = i13)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 0.73/0.91 tff(4320,plain,
% 0.73/0.91 (~(i13 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4319, 4316])).
% 0.73/0.91 tff(4321,plain,
% 0.73/0.91 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1292, 33, 4320])).
% 0.73/0.91 tff(4322,plain,
% 0.73/0.91 ((i3 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4323,plain,
% 0.73/0.91 ((i3 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4322, 2133])).
% 0.73/0.91 tff(4324,plain,
% 0.73/0.91 ((~(i3 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4323])).
% 0.73/0.91 tff(4325,plain,
% 0.73/0.91 ((~(i3 = i14)) <=> (~(i3 = i14))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4326,axiom,(~(i3 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp775')).
% 0.73/0.91 tff(4327,plain,
% 0.73/0.91 (~(i3 = i14)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 0.73/0.91 tff(4328,plain,
% 0.73/0.91 (~(i14 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4327, 4324])).
% 0.73/0.91 tff(4329,plain,
% 0.73/0.91 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1271, 33, 4328])).
% 0.73/0.91 tff(4330,plain,
% 0.73/0.91 ((i3 = i16) <=> (sk(a_1449, a_1489) = i16)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4331,plain,
% 0.73/0.91 ((i3 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4330, 2123])).
% 0.73/0.91 tff(4332,plain,
% 0.73/0.91 ((~(i3 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4331])).
% 0.73/0.91 tff(4333,plain,
% 0.73/0.91 ((~(i3 = i16)) <=> (~(i3 = i16))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4334,axiom,(~(i3 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp773')).
% 0.73/0.91 tff(4335,plain,
% 0.73/0.91 (~(i3 = i16)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 0.73/0.91 tff(4336,plain,
% 0.73/0.91 (~(i16 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4335, 4332])).
% 0.73/0.91 tff(4337,plain,
% 0.73/0.91 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[877, 33, 4336])).
% 0.73/0.91 tff(4338,plain,
% 0.73/0.91 ((i3 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4339,plain,
% 0.73/0.91 ((i3 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4338, 2113])).
% 0.73/0.91 tff(4340,plain,
% 0.73/0.91 ((~(i3 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4339])).
% 0.73/0.91 tff(4341,plain,
% 0.73/0.91 ((~(i3 = i17)) <=> (~(i3 = i17))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4342,axiom,(~(i3 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp772')).
% 0.73/0.91 tff(4343,plain,
% 0.73/0.91 (~(i3 = i17)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 0.73/0.91 tff(4344,plain,
% 0.73/0.91 (~(i17 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4343, 4340])).
% 0.73/0.91 tff(4345,plain,
% 0.73/0.91 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[860, 33, 4344])).
% 0.73/0.91 tff(4346,plain,
% 0.73/0.91 ((i3 = i18) <=> (sk(a_1449, a_1489) = i18)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4347,plain,
% 0.73/0.91 ((i3 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4346, 2103])).
% 0.73/0.91 tff(4348,plain,
% 0.73/0.91 ((~(i3 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4347])).
% 0.73/0.91 tff(4349,plain,
% 0.73/0.91 ((~(i3 = i18)) <=> (~(i3 = i18))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4350,axiom,(~(i3 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp771')).
% 0.73/0.91 tff(4351,plain,
% 0.73/0.91 (~(i3 = i18)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 0.73/0.91 tff(4352,plain,
% 0.73/0.91 (~(i18 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4351, 4348])).
% 0.73/0.91 tff(4353,plain,
% 0.73/0.91 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[839, 33, 4352])).
% 0.73/0.91 tff(4354,plain,
% 0.73/0.91 ((i3 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4355,plain,
% 0.73/0.91 ((i3 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4354, 2093])).
% 0.73/0.91 tff(4356,plain,
% 0.73/0.91 ((~(i3 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4355])).
% 0.73/0.91 tff(4357,plain,
% 0.73/0.91 ((~(i3 = i20)) <=> (~(i3 = i20))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4358,axiom,(~(i3 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp769')).
% 0.73/0.91 tff(4359,plain,
% 0.73/0.91 (~(i3 = i20)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4358, 4357])).
% 0.73/0.91 tff(4360,plain,
% 0.73/0.91 (~(i20 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4359, 4356])).
% 0.73/0.91 tff(4361,plain,
% 0.73/0.91 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[807, 33, 4360])).
% 0.73/0.91 tff(4362,plain,
% 0.73/0.91 ((i3 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4363,plain,
% 0.73/0.91 ((i3 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4362, 2083])).
% 0.73/0.91 tff(4364,plain,
% 0.73/0.91 ((~(i3 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4363])).
% 0.73/0.91 tff(4365,plain,
% 0.73/0.91 ((~(i3 = i21)) <=> (~(i3 = i21))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(4366,axiom,(~(i3 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp768')).
% 0.73/0.91 tff(4367,plain,
% 0.73/0.91 (~(i3 = i21)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 0.73/0.91 tff(4368,plain,
% 0.73/0.91 (~(i21 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[4367, 4364])).
% 0.73/0.91 tff(4369,plain,
% 0.73/0.91 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[786, 33, 4368])).
% 0.73/0.91 tff(4370,plain,
% 0.73/0.91 ((i3 = i22) <=> (sk(a_1449, a_1489) = i22)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.91 tff(4371,plain,
% 0.73/0.91 ((i3 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.73/0.91 inference(transitivity,[status(thm)],[4370, 2073])).
% 0.73/0.91 tff(4372,plain,
% 0.73/0.91 ((~(i3 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[4371])).
% 0.73/0.91 tff(4373,plain,
% 0.73/0.91 ((~(i3 = i22)) <=> (~(i3 = i22))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4374,axiom,(~(i3 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp767')).
% 0.73/0.92 tff(4375,plain,
% 0.73/0.92 (~(i3 = i22)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 0.73/0.92 tff(4376,plain,
% 0.73/0.92 (~(i22 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4375, 4372])).
% 0.73/0.92 tff(4377,plain,
% 0.73/0.92 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[765, 33, 4376])).
% 0.73/0.92 tff(4378,plain,
% 0.73/0.92 ((i3 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.92 tff(4379,plain,
% 0.73/0.92 ((i3 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4378, 2063])).
% 0.73/0.92 tff(4380,plain,
% 0.73/0.92 ((~(i3 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4379])).
% 0.73/0.92 tff(4381,plain,
% 0.73/0.92 ((~(i3 = i23)) <=> (~(i3 = i23))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4382,axiom,(~(i3 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp766')).
% 0.73/0.92 tff(4383,plain,
% 0.73/0.92 (~(i3 = i23)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 0.73/0.92 tff(4384,plain,
% 0.73/0.92 (~(i23 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4383, 4380])).
% 0.73/0.92 tff(4385,plain,
% 0.73/0.92 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[744, 33, 4384])).
% 0.73/0.92 tff(4386,plain,
% 0.73/0.92 ((i3 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.92 tff(4387,plain,
% 0.73/0.92 ((i3 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4386, 2053])).
% 0.73/0.92 tff(4388,plain,
% 0.73/0.92 ((~(i3 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4387])).
% 0.73/0.92 tff(4389,plain,
% 0.73/0.92 ((~(i3 = i24)) <=> (~(i3 = i24))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4390,axiom,(~(i3 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp765')).
% 0.73/0.92 tff(4391,plain,
% 0.73/0.92 (~(i3 = i24)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 0.73/0.92 tff(4392,plain,
% 0.73/0.92 (~(i24 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4391, 4388])).
% 0.73/0.92 tff(4393,plain,
% 0.73/0.92 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[723, 33, 4392])).
% 0.73/0.92 tff(4394,plain,
% 0.73/0.92 ((i3 = i25) <=> (sk(a_1449, a_1489) = i25)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.92 tff(4395,plain,
% 0.73/0.92 ((i3 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4394, 2043])).
% 0.73/0.92 tff(4396,plain,
% 0.73/0.92 ((~(i3 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4395])).
% 0.73/0.92 tff(4397,plain,
% 0.73/0.92 ((~(i3 = i25)) <=> (~(i3 = i25))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4398,axiom,(~(i3 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp764')).
% 0.73/0.92 tff(4399,plain,
% 0.73/0.92 (~(i3 = i25)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 0.73/0.92 tff(4400,plain,
% 0.73/0.92 (~(i25 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4399, 4396])).
% 0.73/0.92 tff(4401,plain,
% 0.73/0.92 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[702, 33, 4400])).
% 0.73/0.92 tff(4402,plain,
% 0.73/0.92 ((i3 = i26) <=> (sk(a_1449, a_1489) = i26)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.92 tff(4403,plain,
% 0.73/0.92 ((i3 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4402, 2033])).
% 0.73/0.92 tff(4404,plain,
% 0.73/0.92 ((~(i3 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4403])).
% 0.73/0.92 tff(4405,plain,
% 0.73/0.92 ((~(i3 = i26)) <=> (~(i3 = i26))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4406,axiom,(~(i3 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp763')).
% 0.73/0.92 tff(4407,plain,
% 0.73/0.92 (~(i3 = i26)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 0.73/0.92 tff(4408,plain,
% 0.73/0.92 (~(i26 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4407, 4404])).
% 0.73/0.92 tff(4409,plain,
% 0.73/0.92 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[681, 33, 4408])).
% 0.73/0.92 tff(4410,plain,
% 0.73/0.92 ((sk(a_1449, a_1489) = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(commutativity,[status(thm)],[])).
% 0.73/0.92 tff(4411,plain,
% 0.73/0.92 ((i3 = i27) <=> (sk(a_1449, a_1489) = i27)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4242])).
% 0.73/0.92 tff(4412,plain,
% 0.73/0.92 ((i3 = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4411, 4410])).
% 0.73/0.92 tff(4413,plain,
% 0.73/0.92 ((~(i3 = i27)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4412])).
% 0.73/0.92 tff(4414,plain,
% 0.73/0.92 ((~(i3 = i27)) <=> (~(i3 = i27))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4415,axiom,(~(i3 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp762')).
% 0.73/0.92 tff(4416,plain,
% 0.73/0.92 (~(i3 = i27)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 0.73/0.92 tff(4417,plain,
% 0.73/0.92 (~(i27 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4416, 4413])).
% 0.73/0.92 tff(4418,plain,
% 0.73/0.92 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[661, 4417])).
% 0.73/0.92 tff(4419,plain,
% 0.73/0.92 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[128, 33, 1463])).
% 0.73/0.92 tff(4420,plain,
% 0.73/0.92 (~(i32 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1844, 927, 1469, 1084, 910, 326, 69, 38, 528, 884, 897, 14, 318])).
% 0.73/0.92 tff(4421,plain,
% 0.73/0.92 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[608, 4420])).
% 0.73/0.92 tff(4422,plain,
% 0.73/0.92 (~(i31 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[2000, 1475, 927, 530, 4421, 1469, 1084, 910, 326, 69, 38, 884, 897, 14, 318])).
% 0.73/0.92 tff(4423,plain,
% 0.73/0.92 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[620, 4422])).
% 0.73/0.92 tff(4424,plain,
% 0.73/0.92 (e_1491 = e_1492),
% 0.73/0.92 inference(transitivity,[status(thm)],[4, 310, 55, 308, 320, 288, 521, 269, 530, 250, 896, 231, 898, 212, 927, 193, 1467, 174, 4421, 155, 4423, 136, 4419, 117, 635, 2764, 641, 2763, 4418, 2762, 4409, 2760, 4401, 2751, 4393, 2740, 4385, 2729, 4377, 2718, 4369, 2707, 4361, 2696, 820, 2695, 4353, 2684, 4345, 2673, 4337, 2662, 1252, 2661, 4329, 2650, 4321, 2639, 4313, 2628, 4305, 2617, 4297, 2606, 4289, 2605, 4280, 2594, 4271, 2583, 4262, 2572, 2412, 2571, 4253, 4252, 4250, 4248, 4245, 1476, 1473, 1470, 961, 1465, 895, 1085, 892, 911, 889, 525, 886, 524, 79, 39, 26, 13])).
% 0.73/0.92 tff(4425,plain,
% 0.73/0.92 ($false),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[314, 4424])).
% 0.73/0.92 tff(4426,plain,((i5 = sk(a_1449, a_1489)) | (~(select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489)))) | (~(select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489)))) | (i15 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i35 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.92 tff(4427,plain,
% 0.73/0.92 (i5 = sk(a_1449, a_1489)),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[4426, 585, 526, 881, 27, 14, 318, 528, 884, 897, 319, 57])).
% 0.73/0.92 tff(4428,plain,
% 0.73/0.92 (sk(a_1449, a_1489) = i5),
% 0.73/0.92 inference(symmetry,[status(thm)],[4427])).
% 0.73/0.92 tff(4429,plain,
% 0.73/0.92 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), i5)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[1471, 4428])).
% 0.73/0.92 tff(4430,plain,
% 0.73/0.92 (select(store(store(a_1480, i3, e3), i5, e5), i5) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4429])).
% 0.73/0.92 tff(4431,plain,
% 0.73/0.92 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1480, i3, e3), i5, e5), i5) = e5)),
% 0.73/0.92 inference(quant_inst,[status(thm)],[])).
% 0.73/0.92 tff(4432,plain,
% 0.73/0.92 (select(store(store(a_1480, i3, e3), i5, e5), i5) = e5),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[4431, 97])).
% 0.73/0.92 tff(4433,plain,
% 0.73/0.92 (e5 = select(store(store(a_1480, i3, e3), i5, e5), i5)),
% 0.73/0.92 inference(symmetry,[status(thm)],[4432])).
% 0.73/0.92 tff(4434,plain,
% 0.73/0.92 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1412, i4, e4), i5, e5), i5) = e5)),
% 0.73/0.92 inference(quant_inst,[status(thm)],[])).
% 0.73/0.92 tff(4435,plain,
% 0.73/0.92 (select(store(store(a_1412, i4, e4), i5, e5), i5) = e5),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[4434, 97])).
% 0.73/0.92 tff(4436,plain,
% 0.73/0.92 (select(store(store(a_1412, i4, e4), i5, e5), i5) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[1447, 4427])).
% 0.73/0.92 tff(4437,plain,
% 0.73/0.92 (select(store(a_1413, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1412, i4, e4), i5, e5), i5)),
% 0.73/0.92 inference(symmetry,[status(thm)],[4436])).
% 0.73/0.92 tff(4438,plain,
% 0.73/0.92 ((i5 = i6) <=> (sk(a_1449, a_1489) = i6)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4439,plain,
% 0.73/0.92 ((i5 = i6) <=> (i6 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4438, 4254])).
% 0.73/0.92 tff(4440,plain,
% 0.73/0.92 ((~(i5 = i6)) <=> (~(i6 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4439])).
% 0.73/0.92 tff(4441,plain,
% 0.73/0.92 ((~(i5 = i6)) <=> (~(i5 = i6))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4442,axiom,(~(i5 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp712')).
% 0.73/0.92 tff(4443,plain,
% 0.73/0.92 (~(i5 = i6)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 0.73/0.92 tff(4444,plain,
% 0.73/0.92 (~(i6 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4443, 4440])).
% 0.73/0.92 tff(4445,plain,
% 0.73/0.92 (select(store(store(a_1413, i5, e5), i6, e6), sk(a_1449, a_1489)) = select(store(a_1413, i5, e5), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1439, 33, 4444])).
% 0.73/0.92 tff(4446,plain,
% 0.73/0.92 ((i5 = i7) <=> (sk(a_1449, a_1489) = i7)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4447,plain,
% 0.73/0.92 ((i5 = i7) <=> (i7 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4446, 4263])).
% 0.73/0.92 tff(4448,plain,
% 0.73/0.92 ((~(i5 = i7)) <=> (~(i7 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4447])).
% 0.73/0.92 tff(4449,plain,
% 0.73/0.92 ((~(i5 = i7)) <=> (~(i5 = i7))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4450,axiom,(~(i5 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp711')).
% 0.73/0.92 tff(4451,plain,
% 0.73/0.92 (~(i5 = i7)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 0.73/0.92 tff(4452,plain,
% 0.73/0.92 (~(i7 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4451, 4448])).
% 0.73/0.92 tff(4453,plain,
% 0.73/0.92 (select(store(store(a_1414, i6, e6), i7, e7), sk(a_1449, a_1489)) = select(store(a_1414, i6, e6), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1418, 33, 4452])).
% 0.73/0.92 tff(4454,plain,
% 0.73/0.92 ((i5 = i8) <=> (sk(a_1449, a_1489) = i8)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4455,plain,
% 0.73/0.92 ((i5 = i8) <=> (i8 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4454, 4272])).
% 0.73/0.92 tff(4456,plain,
% 0.73/0.92 ((~(i5 = i8)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4455])).
% 0.73/0.92 tff(4457,plain,
% 0.73/0.92 ((~(i5 = i8)) <=> (~(i5 = i8))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4458,axiom,(~(i5 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp710')).
% 0.73/0.92 tff(4459,plain,
% 0.73/0.92 (~(i5 = i8)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4458, 4457])).
% 0.73/0.92 tff(4460,plain,
% 0.73/0.92 (~(i8 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4459, 4456])).
% 0.73/0.92 tff(4461,plain,
% 0.73/0.92 (select(store(store(a_1415, i7, e7), i8, e8), sk(a_1449, a_1489)) = select(store(a_1415, i7, e7), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1397, 33, 4460])).
% 0.73/0.92 tff(4462,plain,
% 0.73/0.92 ((i5 = i9) <=> (sk(a_1449, a_1489) = i9)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4463,plain,
% 0.73/0.92 ((i5 = i9) <=> (i9 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4462, 4281])).
% 0.73/0.92 tff(4464,plain,
% 0.73/0.92 ((~(i5 = i9)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4463])).
% 0.73/0.92 tff(4465,plain,
% 0.73/0.92 ((~(i5 = i9)) <=> (~(i5 = i9))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4466,axiom,(~(i5 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp709')).
% 0.73/0.92 tff(4467,plain,
% 0.73/0.92 (~(i5 = i9)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 0.73/0.92 tff(4468,plain,
% 0.73/0.92 (~(i9 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4467, 4464])).
% 0.73/0.92 tff(4469,plain,
% 0.73/0.92 (select(store(store(a_1416, i8, e8), i9, e9), sk(a_1449, a_1489)) = select(store(a_1416, i8, e8), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[2955, 4468])).
% 0.73/0.92 tff(4470,plain,
% 0.73/0.92 ((i5 = i10) <=> (sk(a_1449, a_1489) = i10)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4471,plain,
% 0.73/0.92 ((i5 = i10) <=> (i10 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4470, 2178])).
% 0.73/0.92 tff(4472,plain,
% 0.73/0.92 ((~(i5 = i10)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4471])).
% 0.73/0.92 tff(4473,plain,
% 0.73/0.92 ((~(i5 = i10)) <=> (~(i5 = i10))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4474,axiom,(~(i5 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp708')).
% 0.73/0.92 tff(4475,plain,
% 0.73/0.92 (~(i5 = i10)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 0.73/0.92 tff(4476,plain,
% 0.73/0.92 (~(i10 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4475, 4472])).
% 0.73/0.92 tff(4477,plain,
% 0.73/0.92 (select(store(store(a_1417, i9, e9), i10, e10), sk(a_1449, a_1489)) = select(store(a_1417, i9, e9), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1355, 33, 4476])).
% 0.73/0.92 tff(4478,plain,
% 0.73/0.92 ((i5 = i11) <=> (sk(a_1449, a_1489) = i11)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4479,plain,
% 0.73/0.92 ((i5 = i11) <=> (i11 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4478, 2163])).
% 0.73/0.92 tff(4480,plain,
% 0.73/0.92 ((~(i5 = i11)) <=> (~(i11 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4479])).
% 0.73/0.92 tff(4481,plain,
% 0.73/0.92 ((~(i5 = i11)) <=> (~(i5 = i11))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4482,axiom,(~(i5 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp707')).
% 0.73/0.92 tff(4483,plain,
% 0.73/0.92 (~(i5 = i11)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 0.73/0.92 tff(4484,plain,
% 0.73/0.92 (~(i11 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4483, 4480])).
% 0.73/0.92 tff(4485,plain,
% 0.73/0.92 (select(store(store(a_1418, i10, e10), i11, e11), sk(a_1449, a_1489)) = select(store(a_1418, i10, e10), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1334, 33, 4484])).
% 0.73/0.92 tff(4486,plain,
% 0.73/0.92 ((i5 = i12) <=> (sk(a_1449, a_1489) = i12)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4487,plain,
% 0.73/0.92 ((i5 = i12) <=> (i12 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4486, 2153])).
% 0.73/0.92 tff(4488,plain,
% 0.73/0.92 ((~(i5 = i12)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4487])).
% 0.73/0.92 tff(4489,plain,
% 0.73/0.92 ((~(i5 = i12)) <=> (~(i5 = i12))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4490,axiom,(~(i5 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp706')).
% 0.73/0.92 tff(4491,plain,
% 0.73/0.92 (~(i5 = i12)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 0.73/0.92 tff(4492,plain,
% 0.73/0.92 (~(i12 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4491, 4488])).
% 0.73/0.92 tff(4493,plain,
% 0.73/0.92 (select(store(store(a_1419, i11, e11), i12, e12), sk(a_1449, a_1489)) = select(store(a_1419, i11, e11), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1313, 33, 4492])).
% 0.73/0.92 tff(4494,plain,
% 0.73/0.92 ((i5 = i13) <=> (sk(a_1449, a_1489) = i13)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4495,plain,
% 0.73/0.92 ((i5 = i13) <=> (i13 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4494, 2143])).
% 0.73/0.92 tff(4496,plain,
% 0.73/0.92 ((~(i5 = i13)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4495])).
% 0.73/0.92 tff(4497,plain,
% 0.73/0.92 ((~(i5 = i13)) <=> (~(i5 = i13))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4498,axiom,(~(i5 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp705')).
% 0.73/0.92 tff(4499,plain,
% 0.73/0.92 (~(i5 = i13)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 0.73/0.92 tff(4500,plain,
% 0.73/0.92 (~(i13 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4499, 4496])).
% 0.73/0.92 tff(4501,plain,
% 0.73/0.92 (select(store(store(a_1420, i12, e12), i13, e13), sk(a_1449, a_1489)) = select(store(a_1420, i12, e12), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1292, 33, 4500])).
% 0.73/0.92 tff(4502,plain,
% 0.73/0.92 ((i5 = i14) <=> (sk(a_1449, a_1489) = i14)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4503,plain,
% 0.73/0.92 ((i5 = i14) <=> (i14 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4502, 2133])).
% 0.73/0.92 tff(4504,plain,
% 0.73/0.92 ((~(i5 = i14)) <=> (~(i14 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4503])).
% 0.73/0.92 tff(4505,plain,
% 0.73/0.92 ((~(i5 = i14)) <=> (~(i5 = i14))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4506,axiom,(~(i5 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp704')).
% 0.73/0.92 tff(4507,plain,
% 0.73/0.92 (~(i5 = i14)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 0.73/0.92 tff(4508,plain,
% 0.73/0.92 (~(i14 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4507, 4504])).
% 0.73/0.92 tff(4509,plain,
% 0.73/0.92 (select(store(store(a_1421, i13, e13), i14, e14), sk(a_1449, a_1489)) = select(store(a_1421, i13, e13), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1271, 33, 4508])).
% 0.73/0.92 tff(4510,plain,
% 0.73/0.92 (select(store(store(a_1422, i14, e14), i15, e15), sk(a_1449, a_1489)) = select(store(a_1422, i14, e14), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1251, 33, 881])).
% 0.73/0.92 tff(4511,plain,
% 0.73/0.92 ((i5 = i16) <=> (sk(a_1449, a_1489) = i16)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4512,plain,
% 0.73/0.92 ((i5 = i16) <=> (i16 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4511, 2123])).
% 0.73/0.92 tff(4513,plain,
% 0.73/0.92 ((~(i5 = i16)) <=> (~(i16 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4512])).
% 0.73/0.92 tff(4514,plain,
% 0.73/0.92 ((~(i5 = i16)) <=> (~(i5 = i16))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4515,axiom,(~(i5 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp702')).
% 0.73/0.92 tff(4516,plain,
% 0.73/0.92 (~(i5 = i16)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 0.73/0.92 tff(4517,plain,
% 0.73/0.92 (~(i16 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4516, 4513])).
% 0.73/0.92 tff(4518,plain,
% 0.73/0.92 (select(store(store(a_1423, i15, e15), i16, e16), sk(a_1449, a_1489)) = select(store(a_1423, i15, e15), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[877, 33, 4517])).
% 0.73/0.92 tff(4519,plain,
% 0.73/0.92 ((i5 = i17) <=> (sk(a_1449, a_1489) = i17)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4520,plain,
% 0.73/0.92 ((i5 = i17) <=> (i17 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4519, 2113])).
% 0.73/0.92 tff(4521,plain,
% 0.73/0.92 ((~(i5 = i17)) <=> (~(i17 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4520])).
% 0.73/0.92 tff(4522,plain,
% 0.73/0.92 ((~(i5 = i17)) <=> (~(i5 = i17))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4523,axiom,(~(i5 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp701')).
% 0.73/0.92 tff(4524,plain,
% 0.73/0.92 (~(i5 = i17)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 0.73/0.92 tff(4525,plain,
% 0.73/0.92 (~(i17 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4524, 4521])).
% 0.73/0.92 tff(4526,plain,
% 0.73/0.92 (select(store(store(a_1424, i16, e16), i17, e17), sk(a_1449, a_1489)) = select(store(a_1424, i16, e16), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[860, 33, 4525])).
% 0.73/0.92 tff(4527,plain,
% 0.73/0.92 ((i5 = i18) <=> (sk(a_1449, a_1489) = i18)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4528,plain,
% 0.73/0.92 ((i5 = i18) <=> (i18 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4527, 2103])).
% 0.73/0.92 tff(4529,plain,
% 0.73/0.92 ((~(i5 = i18)) <=> (~(i18 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4528])).
% 0.73/0.92 tff(4530,plain,
% 0.73/0.92 ((~(i5 = i18)) <=> (~(i5 = i18))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4531,axiom,(~(i5 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp700')).
% 0.73/0.92 tff(4532,plain,
% 0.73/0.92 (~(i5 = i18)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 0.73/0.92 tff(4533,plain,
% 0.73/0.92 (~(i18 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4532, 4529])).
% 0.73/0.92 tff(4534,plain,
% 0.73/0.92 (select(store(store(a_1425, i17, e17), i18, e18), sk(a_1449, a_1489)) = select(store(a_1425, i17, e17), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[839, 33, 4533])).
% 0.73/0.92 tff(4535,plain,
% 0.73/0.92 ((i5 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4536,plain,
% 0.73/0.92 ((i5 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4535, 2093])).
% 0.73/0.92 tff(4537,plain,
% 0.73/0.92 ((~(i5 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4536])).
% 0.73/0.92 tff(4538,plain,
% 0.73/0.92 ((~(i5 = i20)) <=> (~(i5 = i20))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4539,axiom,(~(i5 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp698')).
% 0.73/0.92 tff(4540,plain,
% 0.73/0.92 (~(i5 = i20)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 0.73/0.92 tff(4541,plain,
% 0.73/0.92 (~(i20 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4540, 4537])).
% 0.73/0.92 tff(4542,plain,
% 0.73/0.92 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[807, 33, 4541])).
% 0.73/0.92 tff(4543,plain,
% 0.73/0.92 ((i5 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4544,plain,
% 0.73/0.92 ((i5 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4543, 2083])).
% 0.73/0.92 tff(4545,plain,
% 0.73/0.92 ((~(i5 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4544])).
% 0.73/0.92 tff(4546,plain,
% 0.73/0.92 ((~(i5 = i21)) <=> (~(i5 = i21))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4547,axiom,(~(i5 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp697')).
% 0.73/0.92 tff(4548,plain,
% 0.73/0.92 (~(i5 = i21)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 0.73/0.92 tff(4549,plain,
% 0.73/0.92 (~(i21 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4548, 4545])).
% 0.73/0.92 tff(4550,plain,
% 0.73/0.92 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[786, 33, 4549])).
% 0.73/0.92 tff(4551,plain,
% 0.73/0.92 ((i5 = i22) <=> (sk(a_1449, a_1489) = i22)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4552,plain,
% 0.73/0.92 ((i5 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4551, 2073])).
% 0.73/0.92 tff(4553,plain,
% 0.73/0.92 ((~(i5 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4552])).
% 0.73/0.92 tff(4554,plain,
% 0.73/0.92 ((~(i5 = i22)) <=> (~(i5 = i22))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4555,axiom,(~(i5 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp696')).
% 0.73/0.92 tff(4556,plain,
% 0.73/0.92 (~(i5 = i22)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 0.73/0.92 tff(4557,plain,
% 0.73/0.92 (~(i22 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4556, 4553])).
% 0.73/0.92 tff(4558,plain,
% 0.73/0.92 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[765, 33, 4557])).
% 0.73/0.92 tff(4559,plain,
% 0.73/0.92 ((i5 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4560,plain,
% 0.73/0.92 ((i5 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4559, 2063])).
% 0.73/0.92 tff(4561,plain,
% 0.73/0.92 ((~(i5 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4560])).
% 0.73/0.92 tff(4562,plain,
% 0.73/0.92 ((~(i5 = i23)) <=> (~(i5 = i23))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4563,axiom,(~(i5 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp695')).
% 0.73/0.92 tff(4564,plain,
% 0.73/0.92 (~(i5 = i23)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4563, 4562])).
% 0.73/0.92 tff(4565,plain,
% 0.73/0.92 (~(i23 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4564, 4561])).
% 0.73/0.92 tff(4566,plain,
% 0.73/0.92 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[744, 33, 4565])).
% 0.73/0.92 tff(4567,plain,
% 0.73/0.92 ((i5 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4568,plain,
% 0.73/0.92 ((i5 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4567, 2053])).
% 0.73/0.92 tff(4569,plain,
% 0.73/0.92 ((~(i5 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4568])).
% 0.73/0.92 tff(4570,plain,
% 0.73/0.92 ((~(i5 = i24)) <=> (~(i5 = i24))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4571,axiom,(~(i5 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp694')).
% 0.73/0.92 tff(4572,plain,
% 0.73/0.92 (~(i5 = i24)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 0.73/0.92 tff(4573,plain,
% 0.73/0.92 (~(i24 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4572, 4569])).
% 0.73/0.92 tff(4574,plain,
% 0.73/0.92 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[723, 33, 4573])).
% 0.73/0.92 tff(4575,plain,
% 0.73/0.92 ((i5 = i25) <=> (sk(a_1449, a_1489) = i25)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4576,plain,
% 0.73/0.92 ((i5 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4575, 2043])).
% 0.73/0.92 tff(4577,plain,
% 0.73/0.92 ((~(i5 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4576])).
% 0.73/0.92 tff(4578,plain,
% 0.73/0.92 ((~(i5 = i25)) <=> (~(i5 = i25))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4579,axiom,(~(i5 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp693')).
% 0.73/0.92 tff(4580,plain,
% 0.73/0.92 (~(i5 = i25)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 0.73/0.92 tff(4581,plain,
% 0.73/0.92 (~(i25 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4580, 4577])).
% 0.73/0.92 tff(4582,plain,
% 0.73/0.92 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[702, 33, 4581])).
% 0.73/0.92 tff(4583,plain,
% 0.73/0.92 ((i5 = i26) <=> (sk(a_1449, a_1489) = i26)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4584,plain,
% 0.73/0.92 ((i5 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4583, 2033])).
% 0.73/0.92 tff(4585,plain,
% 0.73/0.92 ((~(i5 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4584])).
% 0.73/0.92 tff(4586,plain,
% 0.73/0.92 ((~(i5 = i26)) <=> (~(i5 = i26))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4587,axiom,(~(i5 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp692')).
% 0.73/0.92 tff(4588,plain,
% 0.73/0.92 (~(i5 = i26)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 0.73/0.92 tff(4589,plain,
% 0.73/0.92 (~(i26 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4588, 4585])).
% 0.73/0.92 tff(4590,plain,
% 0.73/0.92 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[681, 33, 4589])).
% 0.73/0.92 tff(4591,plain,
% 0.73/0.92 ((i5 = i27) <=> (sk(a_1449, a_1489) = i27)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.92 tff(4592,plain,
% 0.73/0.92 ((i5 = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.73/0.92 inference(transitivity,[status(thm)],[4591, 4410])).
% 0.73/0.92 tff(4593,plain,
% 0.73/0.92 ((~(i5 = i27)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[4592])).
% 0.73/0.92 tff(4594,plain,
% 0.73/0.92 ((~(i5 = i27)) <=> (~(i5 = i27))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(4595,axiom,(~(i5 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp691')).
% 0.73/0.92 tff(4596,plain,
% 0.73/0.92 (~(i5 = i27)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 0.73/0.92 tff(4597,plain,
% 0.73/0.92 (~(i27 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4596, 4593])).
% 0.73/0.93 tff(4598,plain,
% 0.73/0.93 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[660, 33, 4597])).
% 0.73/0.93 tff(4599,plain,
% 0.73/0.93 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[128, 33, 956])).
% 0.73/0.93 tff(4600,plain,
% 0.73/0.93 ((i5 = i31) <=> (sk(a_1449, a_1489) = i31)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4427])).
% 0.73/0.93 tff(4601,plain,
% 0.73/0.93 ((i5 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(transitivity,[status(thm)],[4600, 137])).
% 0.73/0.93 tff(4602,plain,
% 0.73/0.93 ((~(i5 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4601])).
% 0.73/0.93 tff(4603,plain,
% 0.73/0.93 ((~(i5 = i31)) <=> (~(i5 = i31))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(4604,axiom,(~(i5 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp687')).
% 0.73/0.93 tff(4605,plain,
% 0.73/0.93 (~(i5 = i31)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 0.73/0.93 tff(4606,plain,
% 0.73/0.93 (~(i31 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4605, 4602])).
% 0.73/0.93 tff(4607,plain,
% 0.73/0.93 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[620, 4606])).
% 0.73/0.93 tff(4608,plain,
% 0.73/0.93 (~(i32 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[1844, 585, 1461, 882, 526, 326, 69, 38, 528, 884, 897, 14, 318])).
% 0.73/0.93 tff(4609,plain,
% 0.73/0.93 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[608, 4608])).
% 0.73/0.93 tff(4610,plain,
% 0.73/0.93 (e_1491 = e_1492),
% 0.73/0.93 inference(transitivity,[status(thm)],[4, 310, 55, 308, 320, 288, 521, 269, 530, 250, 896, 231, 898, 212, 585, 193, 1071, 174, 4609, 155, 4607, 136, 4599, 117, 635, 2764, 641, 2763, 4598, 2762, 4590, 2760, 4582, 2751, 4574, 2740, 4566, 2729, 4558, 2718, 4550, 2707, 4542, 2696, 820, 2695, 4534, 2684, 4526, 2673, 4518, 2662, 4510, 2661, 4509, 2650, 4501, 2639, 4493, 2628, 4485, 2617, 4477, 2606, 4469, 2605, 4461, 2594, 4453, 2583, 4445, 4437, 4435, 4433, 4430, 1462, 961, 958, 895, 883, 892, 527, 889, 525, 886, 524, 79, 39, 26, 13])).
% 0.73/0.93 tff(4611,plain,
% 0.73/0.93 ($false),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[314, 4610])).
% 0.73/0.93 tff(4612,plain,((i35 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i36 = sk(a_1449, a_1489)) | (i34 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.93 tff(4613,plain,
% 0.73/0.93 (i35 = sk(a_1449, a_1489)),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[4612, 884, 319, 57, 14, 318, 528, 27, 523])).
% 0.73/0.93 tff(4614,plain,
% 0.73/0.93 ((i23 = i35) <=> (i23 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.73/0.93 tff(4615,plain,
% 0.73/0.93 ((~(i23 = i35)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4614])).
% 0.73/0.93 tff(4616,plain,
% 0.73/0.93 ((~(i23 = i35)) <=> (~(i23 = i35))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(4617,axiom,(~(i23 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp224')).
% 0.73/0.93 tff(4618,plain,
% 0.73/0.93 (~(i23 = i35)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 0.73/0.93 tff(4619,plain,
% 0.73/0.93 (~(i23 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4618, 4615])).
% 0.73/0.93 tff(4620,plain,
% 0.73/0.93 (select(store(store(a_1442, i34, e34), i35, e35), i35) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[229, 4613])).
% 0.73/0.93 tff(4621,plain,
% 0.73/0.93 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1442, i34, e34), i35, e35), i35) = e35)),
% 0.73/0.93 inference(quant_inst,[status(thm)],[])).
% 0.73/0.93 tff(4622,plain,
% 0.73/0.93 (select(store(store(a_1442, i34, e34), i35, e35), i35) = e35),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[4621, 97])).
% 0.73/0.93 tff(4623,plain,
% 0.73/0.93 (e35 = select(store(store(a_1442, i34, e34), i35, e35), i35)),
% 0.73/0.93 inference(symmetry,[status(thm)],[4622])).
% 0.73/0.93 tff(4624,plain,
% 0.73/0.93 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1464, i20, e20), i35, e35), i35) = e35)),
% 0.73/0.93 inference(quant_inst,[status(thm)],[])).
% 0.73/0.93 tff(4625,plain,
% 0.73/0.93 (select(store(store(a_1464, i20, e20), i35, e35), i35) = e35),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[4624, 97])).
% 0.73/0.93 tff(4626,plain,
% 0.73/0.93 (sk(a_1449, a_1489) = i35),
% 0.73/0.93 inference(symmetry,[status(thm)],[4613])).
% 0.73/0.93 tff(4627,plain,
% 0.73/0.93 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), i35)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4626])).
% 0.73/0.93 tff(4628,plain,
% 0.73/0.93 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = e_1491),
% 0.73/0.93 inference(transitivity,[status(thm)],[3715, 4627, 4625, 4623, 4620, 1492, 249, 1491, 268, 522, 287, 321, 307, 56, 50, 5])).
% 0.73/0.93 tff(4629,plain,
% 0.73/0.93 ((i30 = i35) <=> (i30 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.73/0.93 tff(4630,plain,
% 0.73/0.93 ((~(i30 = i35)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4629])).
% 0.73/0.93 tff(4631,plain,
% 0.73/0.93 ((~(i30 = i35)) <=> (~(i30 = i35))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(4632,axiom,(~(i30 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp133')).
% 0.73/0.93 tff(4633,plain,
% 0.73/0.93 (~(i30 = i35)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 0.73/0.93 tff(4634,plain,
% 0.73/0.93 (~(i30 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4633, 4630])).
% 0.73/0.93 tff(4635,plain,
% 0.73/0.93 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[389, 4634])).
% 0.73/0.93 tff(4636,plain,
% 0.73/0.93 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.73/0.93 inference(symmetry,[status(thm)],[4635])).
% 0.73/0.93 tff(4637,plain,
% 0.73/0.93 ((i4 = i35) <=> (i4 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.73/0.93 tff(4638,plain,
% 0.73/0.93 ((~(i4 = i35)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4637])).
% 0.73/0.93 tff(4639,plain,
% 0.73/0.93 ((~(i4 = i35)) <=> (~(i4 = i35))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(4640,axiom,(~(i4 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp718')).
% 0.73/0.93 tff(4641,plain,
% 0.73/0.93 (~(i4 = i35)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 0.73/0.93 tff(4642,plain,
% 0.73/0.93 (~(i4 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4641, 4638])).
% 0.73/0.93 tff(4643,plain,
% 0.73/0.93 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[407, 33, 4642])).
% 0.73/0.93 tff(4644,plain,
% 0.73/0.93 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.73/0.93 inference(symmetry,[status(thm)],[4643])).
% 0.73/0.93 tff(4645,plain,
% 0.73/0.93 ((i5 = i35) <=> (i5 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.73/0.93 tff(4646,plain,
% 0.73/0.93 ((~(i5 = i35)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[4645])).
% 0.73/0.93 tff(4647,plain,
% 0.73/0.93 ((~(i5 = i35)) <=> (~(i5 = i35))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(4648,axiom,(~(i5 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp683')).
% 0.73/0.93 tff(4649,plain,
% 0.73/0.93 (~(i5 = i35)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 0.73/0.93 tff(4650,plain,
% 0.73/0.93 (~(i5 = sk(a_1449, a_1489))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[4649, 4646])).
% 0.73/0.93 tff(4651,plain,
% 0.73/0.93 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[426, 33, 4650])).
% 0.73/0.93 tff(4652,plain,
% 0.73/0.93 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.73/0.93 inference(symmetry,[status(thm)],[4651])).
% 0.73/0.93 tff(4653,plain,
% 0.73/0.93 ((i3 = i35) <=> (i3 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4654,plain,
% 0.78/0.93 ((~(i3 = i35)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4653])).
% 0.78/0.93 tff(4655,plain,
% 0.78/0.93 ((~(i3 = i35)) <=> (~(i3 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4656,axiom,(~(i3 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp754')).
% 0.78/0.93 tff(4657,plain,
% 0.78/0.93 (~(i3 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 0.78/0.93 tff(4658,plain,
% 0.78/0.93 (~(i3 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4657, 4654])).
% 0.78/0.93 tff(4659,plain,
% 0.78/0.93 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[445, 33, 4658])).
% 0.78/0.93 tff(4660,plain,
% 0.78/0.93 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4659])).
% 0.78/0.93 tff(4661,plain,
% 0.78/0.93 ((i9 = i35) <=> (i9 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4662,plain,
% 0.78/0.93 ((~(i9 = i35)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4661])).
% 0.78/0.93 tff(4663,plain,
% 0.78/0.93 ((~(i9 = i35)) <=> (~(i9 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4664,axiom,(~(i9 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp553')).
% 0.78/0.93 tff(4665,plain,
% 0.78/0.93 (~(i9 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 0.78/0.93 tff(4666,plain,
% 0.78/0.93 (~(i9 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4665, 4662])).
% 0.78/0.93 tff(4667,plain,
% 0.78/0.93 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[464, 33, 4666])).
% 0.78/0.93 tff(4668,plain,
% 0.78/0.93 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4667])).
% 0.78/0.93 tff(4669,plain,
% 0.78/0.93 ((i1 = i35) <=> (i1 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4670,plain,
% 0.78/0.93 ((~(i1 = i35)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4669])).
% 0.78/0.93 tff(4671,plain,
% 0.78/0.93 ((~(i1 = i35)) <=> (~(i1 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4672,axiom,(~(i1 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp829')).
% 0.78/0.93 tff(4673,plain,
% 0.78/0.93 (~(i1 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 0.78/0.93 tff(4674,plain,
% 0.78/0.93 (~(i1 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4673, 4670])).
% 0.78/0.93 tff(4675,plain,
% 0.78/0.93 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[483, 33, 4674])).
% 0.78/0.93 tff(4676,plain,
% 0.78/0.93 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4675])).
% 0.78/0.93 tff(4677,plain,
% 0.78/0.93 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1038, 33, 519])).
% 0.78/0.93 tff(4678,plain,
% 0.78/0.93 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4677])).
% 0.78/0.93 tff(4679,plain,
% 0.78/0.93 ((i2 = i35) <=> (i2 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4680,plain,
% 0.78/0.93 ((~(i2 = i35)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4679])).
% 0.78/0.93 tff(4681,plain,
% 0.78/0.93 ((~(i2 = i35)) <=> (~(i2 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4682,axiom,(~(i2 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp791')).
% 0.78/0.93 tff(4683,plain,
% 0.78/0.93 (~(i2 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4682, 4681])).
% 0.78/0.93 tff(4684,plain,
% 0.78/0.93 (~(i2 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4683, 4680])).
% 0.78/0.93 tff(4685,plain,
% 0.78/0.93 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1066, 33, 4684])).
% 0.78/0.93 tff(4686,plain,
% 0.78/0.93 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4685])).
% 0.78/0.93 tff(4687,plain,
% 0.78/0.93 ((i33 = i35) <=> (i33 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4688,plain,
% 0.78/0.93 ((~(i33 = i35)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4687])).
% 0.78/0.93 tff(4689,plain,
% 0.78/0.93 ((~(i33 = i35)) <=> (~(i33 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4690,axiom,(~(i33 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp109')).
% 0.78/0.93 tff(4691,plain,
% 0.78/0.93 (~(i33 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 0.78/0.93 tff(4692,plain,
% 0.78/0.93 (~(i33 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4691, 4688])).
% 0.78/0.93 tff(4693,plain,
% 0.78/0.93 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1563, 33, 4692])).
% 0.78/0.93 tff(4694,plain,
% 0.78/0.93 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4693])).
% 0.78/0.93 tff(4695,plain,
% 0.78/0.93 ((i8 = i35) <=> (i8 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4696,plain,
% 0.78/0.93 ((~(i8 = i35)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4695])).
% 0.78/0.93 tff(4697,plain,
% 0.78/0.93 ((~(i8 = i35)) <=> (~(i8 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4698,axiom,(~(i8 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp584')).
% 0.78/0.93 tff(4699,plain,
% 0.78/0.93 (~(i8 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 0.78/0.93 tff(4700,plain,
% 0.78/0.93 (~(i8 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4699, 4696])).
% 0.78/0.93 tff(4701,plain,
% 0.78/0.93 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1581, 33, 4700])).
% 0.78/0.93 tff(4702,plain,
% 0.78/0.93 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4701])).
% 0.78/0.93 tff(4703,plain,
% 0.78/0.93 ((i22 = i35) <=> (i22 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4704,plain,
% 0.78/0.93 ((~(i22 = i35)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4703])).
% 0.78/0.93 tff(4705,plain,
% 0.78/0.93 ((~(i22 = i35)) <=> (~(i22 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4706,axiom,(~(i22 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp241')).
% 0.78/0.93 tff(4707,plain,
% 0.78/0.93 (~(i22 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 0.78/0.93 tff(4708,plain,
% 0.78/0.93 (~(i22 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4707, 4704])).
% 0.78/0.93 tff(4709,plain,
% 0.78/0.93 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1600, 33, 4708])).
% 0.78/0.93 tff(4710,plain,
% 0.78/0.93 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4709])).
% 0.78/0.93 tff(4711,plain,
% 0.78/0.93 ((i10 = i35) <=> (i10 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4712,plain,
% 0.78/0.93 ((~(i10 = i35)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4711])).
% 0.78/0.93 tff(4713,plain,
% 0.78/0.93 ((~(i10 = i35)) <=> (~(i10 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4714,axiom,(~(i10 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp523')).
% 0.78/0.93 tff(4715,plain,
% 0.78/0.93 (~(i10 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 0.78/0.93 tff(4716,plain,
% 0.78/0.93 (~(i10 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4715, 4712])).
% 0.78/0.93 tff(4717,plain,
% 0.78/0.93 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1619, 33, 4716])).
% 0.78/0.93 tff(4718,plain,
% 0.78/0.93 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4717])).
% 0.78/0.93 tff(4719,plain,
% 0.78/0.93 ((i27 = i35) <=> (i27 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4720,plain,
% 0.78/0.93 ((~(i27 = i35)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4719])).
% 0.78/0.93 tff(4721,plain,
% 0.78/0.93 ((~(i27 = i35)) <=> (~(i27 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4722,axiom,(~(i27 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp166')).
% 0.78/0.93 tff(4723,plain,
% 0.78/0.93 (~(i27 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 0.78/0.93 tff(4724,plain,
% 0.78/0.93 (~(i27 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4723, 4720])).
% 0.78/0.93 tff(4725,plain,
% 0.78/0.93 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[3293, 4724])).
% 0.78/0.93 tff(4726,plain,
% 0.78/0.93 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4725])).
% 0.78/0.93 tff(4727,plain,
% 0.78/0.93 ((i21 = i35) <=> (i21 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4728,plain,
% 0.78/0.93 ((~(i21 = i35)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4727])).
% 0.78/0.93 tff(4729,plain,
% 0.78/0.93 ((~(i21 = i35)) <=> (~(i21 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4730,axiom,(~(i21 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp259')).
% 0.78/0.93 tff(4731,plain,
% 0.78/0.93 (~(i21 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 0.78/0.93 tff(4732,plain,
% 0.78/0.93 (~(i21 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4731, 4728])).
% 0.78/0.93 tff(4733,plain,
% 0.78/0.93 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1657, 33, 4732])).
% 0.78/0.93 tff(4734,plain,
% 0.78/0.93 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4733])).
% 0.78/0.93 tff(4735,plain,
% 0.78/0.93 ((i26 = i35) <=> (i26 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4613])).
% 0.78/0.93 tff(4736,plain,
% 0.78/0.93 ((~(i26 = i35)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4735])).
% 0.78/0.93 tff(4737,plain,
% 0.78/0.93 ((~(i26 = i35)) <=> (~(i26 = i35))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4738,axiom,(~(i26 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp179')).
% 0.78/0.93 tff(4739,plain,
% 0.78/0.93 (~(i26 = i35)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 0.78/0.93 tff(4740,plain,
% 0.78/0.93 (~(i26 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4739, 4736])).
% 0.78/0.93 tff(4741,plain,
% 0.78/0.93 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[2951, 4740])).
% 0.78/0.93 tff(4742,plain,
% 0.78/0.93 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4741])).
% 0.78/0.93 tff(4743,plain,
% 0.78/0.93 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = e_1492),
% 0.78/0.93 inference(transitivity,[status(thm)],[1685, 4742, 1666, 4734, 1647, 4726, 1628, 4718, 1609, 4710, 1590, 4702, 1571, 4694, 1560, 4686, 1057, 1051, 1046, 4678, 1035, 497, 492, 4676, 473, 4668, 454, 4660, 435, 4652, 416, 4644, 397, 4636, 378, 883, 358, 527, 339, 525, 331, 524, 330, 39, 329, 13])).
% 0.78/0.93 tff(4744,plain,
% 0.78/0.93 ((select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4743, 4628])).
% 0.78/0.93 tff(4745,plain,
% 0.78/0.93 ((select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.78/0.93 inference(transitivity,[status(thm)],[4744, 1])).
% 0.78/0.93 tff(4746,plain,
% 0.78/0.93 ((e_1491 = e_1492) <=> (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4745])).
% 0.78/0.93 tff(4747,plain,
% 0.78/0.93 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4746])).
% 0.78/0.93 tff(4748,plain,
% 0.78/0.93 (~(select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489)))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[314, 4747])).
% 0.78/0.93 tff(4749,plain,
% 0.78/0.93 ($false),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[1695, 33, 4748, 4619])).
% 0.78/0.93 tff(4750,plain,((i36 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i37 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i34 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.93 tff(4751,plain,
% 0.78/0.93 (i36 = sk(a_1449, a_1489)),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[4750, 528, 318, 319, 57, 14, 27, 523])).
% 0.78/0.93 tff(4752,plain,
% 0.78/0.93 ((i30 = i36) <=> (i30 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.93 tff(4753,plain,
% 0.78/0.93 ((~(i30 = i36)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4752])).
% 0.78/0.93 tff(4754,plain,
% 0.78/0.93 ((~(i30 = i36)) <=> (~(i30 = i36))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4755,axiom,(~(i30 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp132')).
% 0.78/0.93 tff(4756,plain,
% 0.78/0.93 (~(i30 = i36)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 0.78/0.93 tff(4757,plain,
% 0.78/0.93 (~(i30 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4756, 4753])).
% 0.78/0.93 tff(4758,plain,
% 0.78/0.93 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[389, 4757])).
% 0.78/0.93 tff(4759,plain,
% 0.78/0.93 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4758])).
% 0.78/0.93 tff(4760,plain,
% 0.78/0.93 ((i4 = i36) <=> (i4 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.93 tff(4761,plain,
% 0.78/0.93 ((~(i4 = i36)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4760])).
% 0.78/0.93 tff(4762,plain,
% 0.78/0.93 ((~(i4 = i36)) <=> (~(i4 = i36))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4763,axiom,(~(i4 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp717')).
% 0.78/0.93 tff(4764,plain,
% 0.78/0.93 (~(i4 = i36)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 0.78/0.93 tff(4765,plain,
% 0.78/0.93 (~(i4 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4764, 4761])).
% 0.78/0.93 tff(4766,plain,
% 0.78/0.93 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[407, 33, 4765])).
% 0.78/0.93 tff(4767,plain,
% 0.78/0.93 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4766])).
% 0.78/0.93 tff(4768,plain,
% 0.78/0.93 ((i5 = i36) <=> (i5 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.93 tff(4769,plain,
% 0.78/0.93 ((~(i5 = i36)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4768])).
% 0.78/0.93 tff(4770,plain,
% 0.78/0.93 ((~(i5 = i36)) <=> (~(i5 = i36))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4771,axiom,(~(i5 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp682')).
% 0.78/0.93 tff(4772,plain,
% 0.78/0.93 (~(i5 = i36)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 0.78/0.93 tff(4773,plain,
% 0.78/0.93 (~(i5 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4772, 4769])).
% 0.78/0.93 tff(4774,plain,
% 0.78/0.93 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.78/0.93 inference(unit_resolution,[status(thm)],[426, 33, 4773])).
% 0.78/0.93 tff(4775,plain,
% 0.78/0.93 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.78/0.93 inference(symmetry,[status(thm)],[4774])).
% 0.78/0.93 tff(4776,plain,
% 0.78/0.93 ((i3 = i36) <=> (i3 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.93 tff(4777,plain,
% 0.78/0.93 ((~(i3 = i36)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[4776])).
% 0.78/0.93 tff(4778,plain,
% 0.78/0.93 ((~(i3 = i36)) <=> (~(i3 = i36))),
% 0.78/0.93 inference(rewrite,[status(thm)],[])).
% 0.78/0.93 tff(4779,axiom,(~(i3 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp753')).
% 0.78/0.93 tff(4780,plain,
% 0.78/0.93 (~(i3 = i36)),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 0.78/0.93 tff(4781,plain,
% 0.78/0.93 (~(i3 = sk(a_1449, a_1489))),
% 0.78/0.93 inference(modus_ponens,[status(thm)],[4780, 4777])).
% 0.78/0.94 tff(4782,plain,
% 0.78/0.94 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[445, 33, 4781])).
% 0.78/0.94 tff(4783,plain,
% 0.78/0.94 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4782])).
% 0.78/0.94 tff(4784,plain,
% 0.78/0.94 ((i9 = i36) <=> (i9 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4785,plain,
% 0.78/0.94 ((~(i9 = i36)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4784])).
% 0.78/0.94 tff(4786,plain,
% 0.78/0.94 ((~(i9 = i36)) <=> (~(i9 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4787,axiom,(~(i9 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp552')).
% 0.78/0.94 tff(4788,plain,
% 0.78/0.94 (~(i9 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4787, 4786])).
% 0.78/0.94 tff(4789,plain,
% 0.78/0.94 (~(i9 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4788, 4785])).
% 0.78/0.94 tff(4790,plain,
% 0.78/0.94 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[464, 33, 4789])).
% 0.78/0.94 tff(4791,plain,
% 0.78/0.94 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4790])).
% 0.78/0.94 tff(4792,plain,
% 0.78/0.94 ((i1 = i36) <=> (i1 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4793,plain,
% 0.78/0.94 ((~(i1 = i36)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4792])).
% 0.78/0.94 tff(4794,plain,
% 0.78/0.94 ((~(i1 = i36)) <=> (~(i1 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4795,axiom,(~(i1 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp828')).
% 0.78/0.94 tff(4796,plain,
% 0.78/0.94 (~(i1 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 0.78/0.94 tff(4797,plain,
% 0.78/0.94 (~(i1 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4796, 4793])).
% 0.78/0.94 tff(4798,plain,
% 0.78/0.94 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[483, 33, 4797])).
% 0.78/0.94 tff(4799,plain,
% 0.78/0.94 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4798])).
% 0.78/0.94 tff(4800,plain,
% 0.78/0.94 ((i2 = i36) <=> (i2 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4801,plain,
% 0.78/0.94 ((~(i2 = i36)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4800])).
% 0.78/0.94 tff(4802,plain,
% 0.78/0.94 ((~(i2 = i36)) <=> (~(i2 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4803,axiom,(~(i2 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp790')).
% 0.78/0.94 tff(4804,plain,
% 0.78/0.94 (~(i2 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 0.78/0.94 tff(4805,plain,
% 0.78/0.94 (~(i2 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4804, 4801])).
% 0.78/0.94 tff(4806,plain,
% 0.78/0.94 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1066, 33, 4805])).
% 0.78/0.94 tff(4807,plain,
% 0.78/0.94 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4806])).
% 0.78/0.94 tff(4808,plain,
% 0.78/0.94 ((i33 = i36) <=> (i33 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4809,plain,
% 0.78/0.94 ((~(i33 = i36)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4808])).
% 0.78/0.94 tff(4810,plain,
% 0.78/0.94 ((~(i33 = i36)) <=> (~(i33 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4811,axiom,(~(i33 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp108')).
% 0.78/0.94 tff(4812,plain,
% 0.78/0.94 (~(i33 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 0.78/0.94 tff(4813,plain,
% 0.78/0.94 (~(i33 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4812, 4809])).
% 0.78/0.94 tff(4814,plain,
% 0.78/0.94 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1563, 33, 4813])).
% 0.78/0.94 tff(4815,plain,
% 0.78/0.94 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4814])).
% 0.78/0.94 tff(4816,plain,
% 0.78/0.94 ((i8 = i36) <=> (i8 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4817,plain,
% 0.78/0.94 ((~(i8 = i36)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4816])).
% 0.78/0.94 tff(4818,plain,
% 0.78/0.94 ((~(i8 = i36)) <=> (~(i8 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4819,axiom,(~(i8 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp583')).
% 0.78/0.94 tff(4820,plain,
% 0.78/0.94 (~(i8 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4819, 4818])).
% 0.78/0.94 tff(4821,plain,
% 0.78/0.94 (~(i8 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4820, 4817])).
% 0.78/0.94 tff(4822,plain,
% 0.78/0.94 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1581, 33, 4821])).
% 0.78/0.94 tff(4823,plain,
% 0.78/0.94 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4822])).
% 0.78/0.94 tff(4824,plain,
% 0.78/0.94 ((i22 = i36) <=> (i22 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4825,plain,
% 0.78/0.94 ((~(i22 = i36)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4824])).
% 0.78/0.94 tff(4826,plain,
% 0.78/0.94 ((~(i22 = i36)) <=> (~(i22 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4827,axiom,(~(i22 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp240')).
% 0.78/0.94 tff(4828,plain,
% 0.78/0.94 (~(i22 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4827, 4826])).
% 0.78/0.94 tff(4829,plain,
% 0.78/0.94 (~(i22 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4828, 4825])).
% 0.78/0.94 tff(4830,plain,
% 0.78/0.94 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1600, 33, 4829])).
% 0.78/0.94 tff(4831,plain,
% 0.78/0.94 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4830])).
% 0.78/0.94 tff(4832,plain,
% 0.78/0.94 ((i10 = i36) <=> (i10 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4833,plain,
% 0.78/0.94 ((~(i10 = i36)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4832])).
% 0.78/0.94 tff(4834,plain,
% 0.78/0.94 ((~(i10 = i36)) <=> (~(i10 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4835,axiom,(~(i10 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp522')).
% 0.78/0.94 tff(4836,plain,
% 0.78/0.94 (~(i10 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 0.78/0.94 tff(4837,plain,
% 0.78/0.94 (~(i10 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4836, 4833])).
% 0.78/0.94 tff(4838,plain,
% 0.78/0.94 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1619, 33, 4837])).
% 0.78/0.94 tff(4839,plain,
% 0.78/0.94 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4838])).
% 0.78/0.94 tff(4840,plain,
% 0.78/0.94 ((i27 = i36) <=> (i27 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4841,plain,
% 0.78/0.94 ((~(i27 = i36)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4840])).
% 0.78/0.94 tff(4842,plain,
% 0.78/0.94 ((~(i27 = i36)) <=> (~(i27 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4843,axiom,(~(i27 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp165')).
% 0.78/0.94 tff(4844,plain,
% 0.78/0.94 (~(i27 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 0.78/0.94 tff(4845,plain,
% 0.78/0.94 (~(i27 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4844, 4841])).
% 0.78/0.94 tff(4846,plain,
% 0.78/0.94 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[3293, 4845])).
% 0.78/0.94 tff(4847,plain,
% 0.78/0.94 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4846])).
% 0.78/0.94 tff(4848,plain,
% 0.78/0.94 ((i21 = i36) <=> (i21 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4849,plain,
% 0.78/0.94 ((~(i21 = i36)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4848])).
% 0.78/0.94 tff(4850,plain,
% 0.78/0.94 ((~(i21 = i36)) <=> (~(i21 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4851,axiom,(~(i21 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp258')).
% 0.78/0.94 tff(4852,plain,
% 0.78/0.94 (~(i21 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 0.78/0.94 tff(4853,plain,
% 0.78/0.94 (~(i21 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4852, 4849])).
% 0.78/0.94 tff(4854,plain,
% 0.78/0.94 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1657, 33, 4853])).
% 0.78/0.94 tff(4855,plain,
% 0.78/0.94 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4854])).
% 0.78/0.94 tff(4856,plain,
% 0.78/0.94 ((i26 = i36) <=> (i26 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4857,plain,
% 0.78/0.94 ((~(i26 = i36)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4856])).
% 0.78/0.94 tff(4858,plain,
% 0.78/0.94 ((~(i26 = i36)) <=> (~(i26 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4859,axiom,(~(i26 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp178')).
% 0.78/0.94 tff(4860,plain,
% 0.78/0.94 (~(i26 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 0.78/0.94 tff(4861,plain,
% 0.78/0.94 (~(i26 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4860, 4857])).
% 0.78/0.94 tff(4862,plain,
% 0.78/0.94 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[2951, 4861])).
% 0.78/0.94 tff(4863,plain,
% 0.78/0.94 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4862])).
% 0.78/0.94 tff(4864,plain,
% 0.78/0.94 ((i23 = i36) <=> (i23 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4865,plain,
% 0.78/0.94 ((~(i23 = i36)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4864])).
% 0.78/0.94 tff(4866,plain,
% 0.78/0.94 ((~(i23 = i36)) <=> (~(i23 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4867,axiom,(~(i23 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp223')).
% 0.78/0.94 tff(4868,plain,
% 0.78/0.94 (~(i23 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 0.78/0.94 tff(4869,plain,
% 0.78/0.94 (~(i23 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4868, 4865])).
% 0.78/0.94 tff(4870,plain,
% 0.78/0.94 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1695, 33, 4869])).
% 0.78/0.94 tff(4871,plain,
% 0.78/0.94 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4870])).
% 0.78/0.94 tff(4872,plain,
% 0.78/0.94 ((i35 = i36) <=> (i35 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4873,plain,
% 0.78/0.94 ((~(i35 = i36)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4872])).
% 0.78/0.94 tff(4874,plain,
% 0.78/0.94 ((~(i35 = i36)) <=> (~(i35 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4875,axiom,(~(i35 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp97')).
% 0.78/0.94 tff(4876,plain,
% 0.78/0.94 (~(i35 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 0.78/0.94 tff(4877,plain,
% 0.78/0.94 (~(i35 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4876, 4873])).
% 0.78/0.94 tff(4878,plain,
% 0.78/0.94 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1707, 33, 4877])).
% 0.78/0.94 tff(4879,plain,
% 0.78/0.94 (select(store(a_1464, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4878])).
% 0.78/0.94 tff(4880,plain,
% 0.78/0.94 ((i20 = i36) <=> (i20 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4881,plain,
% 0.78/0.94 ((~(i20 = i36)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4880])).
% 0.78/0.94 tff(4882,plain,
% 0.78/0.94 ((~(i20 = i36)) <=> (~(i20 = i36))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4883,axiom,(~(i20 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp277')).
% 0.78/0.94 tff(4884,plain,
% 0.78/0.94 (~(i20 = i36)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4883, 4882])).
% 0.78/0.94 tff(4885,plain,
% 0.78/0.94 (~(i20 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4884, 4881])).
% 0.78/0.94 tff(4886,plain,
% 0.78/0.94 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1725, 33, 4885])).
% 0.78/0.94 tff(4887,plain,
% 0.78/0.94 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4886])).
% 0.78/0.94 tff(4888,plain,
% 0.78/0.94 (select(store(store(a_1462, i12, e12), i36, e36), i36) = select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4751])).
% 0.78/0.94 tff(4889,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1462, i12, e12), i36, e36), i36) = e36)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(4890,plain,
% 0.78/0.94 (select(store(store(a_1462, i12, e12), i36, e36), i36) = e36),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[4889, 97])).
% 0.78/0.94 tff(4891,plain,
% 0.78/0.94 (e36 = select(store(store(a_1462, i12, e12), i36, e36), i36)),
% 0.78/0.94 inference(symmetry,[status(thm)],[4890])).
% 0.78/0.94 tff(4892,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1443, i35, e35), i36, e36), i36) = e36)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(4893,plain,
% 0.78/0.94 (select(store(store(a_1443, i35, e35), i36, e36), i36) = e36),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[4892, 97])).
% 0.78/0.94 tff(4894,plain,
% 0.78/0.94 (sk(a_1449, a_1489) = i36),
% 0.78/0.94 inference(symmetry,[status(thm)],[4751])).
% 0.78/0.94 tff(4895,plain,
% 0.78/0.94 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), i36)),
% 0.78/0.94 inference(monotonicity,[status(thm)],[3282, 4894])).
% 0.78/0.94 tff(4896,plain,
% 0.78/0.94 (e_1491 = e_1492),
% 0.78/0.94 inference(transitivity,[status(thm)],[4, 515, 55, 512, 320, 3286, 521, 3285, 530, 4895, 4893, 4891, 4888, 1734, 4887, 1715, 4879, 1704, 4871, 1685, 4863, 1666, 4855, 1647, 4847, 1628, 4839, 1609, 4831, 1590, 4823, 1571, 4815, 1560, 4807, 1057, 1051, 1046, 4678, 1035, 497, 492, 4799, 473, 4791, 454, 4783, 435, 4775, 416, 4767, 397, 4759, 378, 883, 358, 527, 339, 525, 331, 524, 330, 39, 329, 13])).
% 0.78/0.94 tff(4897,plain,
% 0.78/0.94 ($false),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[314, 4896])).
% 0.78/0.94 tff(4898,plain,((i37 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489)) | (i34 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.94 tff(4899,plain,
% 0.78/0.94 (i37 = sk(a_1449, a_1489)),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[4898, 523, 318, 319, 57, 27, 14])).
% 0.78/0.94 tff(4900,plain,
% 0.78/0.94 (select(store(store(a_1444, i36, e36), i37, e37), i37) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[267, 4899])).
% 0.78/0.94 tff(4901,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1444, i36, e36), i37, e37), i37) = e37)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(4902,plain,
% 0.78/0.94 (select(store(store(a_1444, i36, e36), i37, e37), i37) = e37),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[4901, 97])).
% 0.78/0.94 tff(4903,plain,
% 0.78/0.94 (e37 = select(store(store(a_1444, i36, e36), i37, e37), i37)),
% 0.78/0.94 inference(symmetry,[status(thm)],[4902])).
% 0.78/0.94 tff(4904,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1458, i18, e18), i37, e37), i37) = e37)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(4905,plain,
% 0.78/0.94 (select(store(store(a_1458, i18, e18), i37, e37), i37) = e37),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[4904, 97])).
% 0.78/0.94 tff(4906,plain,
% 0.78/0.94 (sk(a_1449, a_1489) = i37),
% 0.78/0.94 inference(symmetry,[status(thm)],[4899])).
% 0.78/0.94 tff(4907,plain,
% 0.78/0.94 (select(store(store(a_1458, i18, e18), i37, e37), sk(a_1449, a_1489)) = select(store(store(a_1458, i18, e18), i37, e37), i37)),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4906])).
% 0.78/0.94 tff(4908,plain,
% 0.78/0.94 (select(store(a_1459, i37, e37), sk(a_1449, a_1489)) = e_1491),
% 0.78/0.94 inference(transitivity,[status(thm)],[3735, 4907, 4905, 4903, 4900, 522, 287, 321, 307, 56, 50, 5])).
% 0.78/0.94 tff(4909,plain,
% 0.78/0.94 ((i15 = i37) <=> (i15 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4910,plain,
% 0.78/0.94 ((~(i15 = i37)) <=> (~(i15 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4909])).
% 0.78/0.94 tff(4911,plain,
% 0.78/0.94 ((~(i15 = i37)) <=> (~(i15 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4912,axiom,(~(i15 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp386')).
% 0.78/0.94 tff(4913,plain,
% 0.78/0.94 (~(i15 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 0.78/0.94 tff(4914,plain,
% 0.78/0.94 (~(i15 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4913, 4910])).
% 0.78/0.94 tff(4915,plain,
% 0.78/0.94 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[370, 4914])).
% 0.78/0.94 tff(4916,plain,
% 0.78/0.94 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4915])).
% 0.78/0.94 tff(4917,plain,
% 0.78/0.94 ((i30 = i37) <=> (i30 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4918,plain,
% 0.78/0.94 ((~(i30 = i37)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4917])).
% 0.78/0.94 tff(4919,plain,
% 0.78/0.94 ((~(i30 = i37)) <=> (~(i30 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4920,axiom,(~(i30 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp131')).
% 0.78/0.94 tff(4921,plain,
% 0.78/0.94 (~(i30 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 0.78/0.94 tff(4922,plain,
% 0.78/0.94 (~(i30 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4921, 4918])).
% 0.78/0.94 tff(4923,plain,
% 0.78/0.94 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[388, 33, 4922])).
% 0.78/0.94 tff(4924,plain,
% 0.78/0.94 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4923])).
% 0.78/0.94 tff(4925,plain,
% 0.78/0.94 ((i4 = i37) <=> (i4 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4926,plain,
% 0.78/0.94 ((~(i4 = i37)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4925])).
% 0.78/0.94 tff(4927,plain,
% 0.78/0.94 ((~(i4 = i37)) <=> (~(i4 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4928,axiom,(~(i4 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp716')).
% 0.78/0.94 tff(4929,plain,
% 0.78/0.94 (~(i4 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 0.78/0.94 tff(4930,plain,
% 0.78/0.94 (~(i4 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4929, 4926])).
% 0.78/0.94 tff(4931,plain,
% 0.78/0.94 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[407, 33, 4930])).
% 0.78/0.94 tff(4932,plain,
% 0.78/0.94 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4931])).
% 0.78/0.94 tff(4933,plain,
% 0.78/0.94 ((i5 = i37) <=> (i5 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4934,plain,
% 0.78/0.94 ((~(i5 = i37)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4933])).
% 0.78/0.94 tff(4935,plain,
% 0.78/0.94 ((~(i5 = i37)) <=> (~(i5 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4936,axiom,(~(i5 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp681')).
% 0.78/0.94 tff(4937,plain,
% 0.78/0.94 (~(i5 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4936, 4935])).
% 0.78/0.94 tff(4938,plain,
% 0.78/0.94 (~(i5 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4937, 4934])).
% 0.78/0.94 tff(4939,plain,
% 0.78/0.94 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[426, 33, 4938])).
% 0.78/0.94 tff(4940,plain,
% 0.78/0.94 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4939])).
% 0.78/0.94 tff(4941,plain,
% 0.78/0.94 ((i3 = i37) <=> (i3 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4942,plain,
% 0.78/0.94 ((~(i3 = i37)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4941])).
% 0.78/0.94 tff(4943,plain,
% 0.78/0.94 ((~(i3 = i37)) <=> (~(i3 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4944,axiom,(~(i3 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp752')).
% 0.78/0.94 tff(4945,plain,
% 0.78/0.94 (~(i3 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 0.78/0.94 tff(4946,plain,
% 0.78/0.94 (~(i3 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4945, 4942])).
% 0.78/0.94 tff(4947,plain,
% 0.78/0.94 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[445, 33, 4946])).
% 0.78/0.94 tff(4948,plain,
% 0.78/0.94 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.78/0.94 inference(symmetry,[status(thm)],[4947])).
% 0.78/0.94 tff(4949,plain,
% 0.78/0.94 ((i9 = i37) <=> (i9 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.78/0.94 tff(4950,plain,
% 0.78/0.94 ((~(i9 = i37)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4949])).
% 0.78/0.94 tff(4951,plain,
% 0.78/0.94 ((~(i9 = i37)) <=> (~(i9 = i37))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(4952,axiom,(~(i9 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp551')).
% 0.78/0.94 tff(4953,plain,
% 0.78/0.94 (~(i9 = i37)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 0.78/0.94 tff(4954,plain,
% 0.78/0.94 (~(i9 = sk(a_1449, a_1489))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[4953, 4950])).
% 0.78/0.94 tff(4955,plain,
% 0.78/0.94 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[464, 33, 4954])).
% 0.80/0.94 tff(4956,plain,
% 0.80/0.94 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.80/0.94 inference(symmetry,[status(thm)],[4955])).
% 0.80/0.94 tff(4957,plain,
% 0.80/0.94 ((i1 = i37) <=> (i1 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.94 tff(4958,plain,
% 0.80/0.94 ((~(i1 = i37)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4957])).
% 0.80/0.94 tff(4959,plain,
% 0.80/0.94 ((~(i1 = i37)) <=> (~(i1 = i37))),
% 0.80/0.94 inference(rewrite,[status(thm)],[])).
% 0.80/0.94 tff(4960,axiom,(~(i1 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp827')).
% 0.80/0.94 tff(4961,plain,
% 0.80/0.94 (~(i1 = i37)),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 0.80/0.94 tff(4962,plain,
% 0.80/0.94 (~(i1 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4961, 4958])).
% 0.80/0.94 tff(4963,plain,
% 0.80/0.94 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.80/0.94 inference(unit_resolution,[status(thm)],[483, 33, 4962])).
% 0.80/0.94 tff(4964,plain,
% 0.80/0.94 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.80/0.94 inference(symmetry,[status(thm)],[4963])).
% 0.80/0.94 tff(4965,plain,
% 0.80/0.94 ((i2 = i37) <=> (i2 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.94 tff(4966,plain,
% 0.80/0.94 ((~(i2 = i37)) <=> (~(i2 = sk(a_1449, a_1489)))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4965])).
% 0.80/0.94 tff(4967,plain,
% 0.80/0.94 ((~(i2 = i37)) <=> (~(i2 = i37))),
% 0.80/0.94 inference(rewrite,[status(thm)],[])).
% 0.80/0.94 tff(4968,axiom,(~(i2 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp789')).
% 0.80/0.94 tff(4969,plain,
% 0.80/0.94 (~(i2 = i37)),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4968, 4967])).
% 0.80/0.94 tff(4970,plain,
% 0.80/0.94 (~(i2 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4969, 4966])).
% 0.80/0.94 tff(4971,plain,
% 0.80/0.94 (select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489)) = select(store(a_1473, i33, e33), sk(a_1449, a_1489))),
% 0.80/0.94 inference(unit_resolution,[status(thm)],[1066, 33, 4970])).
% 0.80/0.94 tff(4972,plain,
% 0.80/0.94 (select(store(a_1473, i33, e33), sk(a_1449, a_1489)) = select(store(store(a_1473, i33, e33), i2, e2), sk(a_1449, a_1489))),
% 0.80/0.94 inference(symmetry,[status(thm)],[4971])).
% 0.80/0.94 tff(4973,plain,
% 0.80/0.94 ((i33 = i37) <=> (i33 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.94 tff(4974,plain,
% 0.80/0.94 ((~(i33 = i37)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4973])).
% 0.80/0.94 tff(4975,plain,
% 0.80/0.94 ((~(i33 = i37)) <=> (~(i33 = i37))),
% 0.80/0.94 inference(rewrite,[status(thm)],[])).
% 0.80/0.94 tff(4976,axiom,(~(i33 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp107')).
% 0.80/0.94 tff(4977,plain,
% 0.80/0.94 (~(i33 = i37)),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 0.80/0.94 tff(4978,plain,
% 0.80/0.94 (~(i33 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4977, 4974])).
% 0.80/0.94 tff(4979,plain,
% 0.80/0.94 (select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489)) = select(store(a_1472, i8, e8), sk(a_1449, a_1489))),
% 0.80/0.94 inference(unit_resolution,[status(thm)],[1563, 33, 4978])).
% 0.80/0.94 tff(4980,plain,
% 0.80/0.94 (select(store(a_1472, i8, e8), sk(a_1449, a_1489)) = select(store(store(a_1472, i8, e8), i33, e33), sk(a_1449, a_1489))),
% 0.80/0.94 inference(symmetry,[status(thm)],[4979])).
% 0.80/0.94 tff(4981,plain,
% 0.80/0.94 ((i8 = i37) <=> (i8 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.94 tff(4982,plain,
% 0.80/0.94 ((~(i8 = i37)) <=> (~(i8 = sk(a_1449, a_1489)))),
% 0.80/0.94 inference(monotonicity,[status(thm)],[4981])).
% 0.80/0.94 tff(4983,plain,
% 0.80/0.94 ((~(i8 = i37)) <=> (~(i8 = i37))),
% 0.80/0.94 inference(rewrite,[status(thm)],[])).
% 0.80/0.94 tff(4984,axiom,(~(i8 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp582')).
% 0.80/0.94 tff(4985,plain,
% 0.80/0.94 (~(i8 = i37)),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 0.80/0.94 tff(4986,plain,
% 0.80/0.94 (~(i8 = sk(a_1449, a_1489))),
% 0.80/0.94 inference(modus_ponens,[status(thm)],[4985, 4982])).
% 0.80/0.94 tff(4987,plain,
% 0.80/0.94 (select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489)) = select(store(a_1471, i22, e22), sk(a_1449, a_1489))),
% 0.80/0.94 inference(unit_resolution,[status(thm)],[1581, 33, 4986])).
% 0.80/0.95 tff(4988,plain,
% 0.80/0.95 (select(store(a_1471, i22, e22), sk(a_1449, a_1489)) = select(store(store(a_1471, i22, e22), i8, e8), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[4987])).
% 0.80/0.95 tff(4989,plain,
% 0.80/0.95 ((i22 = i37) <=> (i22 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(4990,plain,
% 0.80/0.95 ((~(i22 = i37)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4989])).
% 0.80/0.95 tff(4991,plain,
% 0.80/0.95 ((~(i22 = i37)) <=> (~(i22 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(4992,axiom,(~(i22 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp239')).
% 0.80/0.95 tff(4993,plain,
% 0.80/0.95 (~(i22 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 0.80/0.95 tff(4994,plain,
% 0.80/0.95 (~(i22 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[4993, 4990])).
% 0.80/0.95 tff(4995,plain,
% 0.80/0.95 (select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489)) = select(store(a_1470, i10, e10), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1600, 33, 4994])).
% 0.80/0.95 tff(4996,plain,
% 0.80/0.95 (select(store(a_1470, i10, e10), sk(a_1449, a_1489)) = select(store(store(a_1470, i10, e10), i22, e22), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[4995])).
% 0.80/0.95 tff(4997,plain,
% 0.80/0.95 ((i10 = i37) <=> (i10 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(4998,plain,
% 0.80/0.95 ((~(i10 = i37)) <=> (~(i10 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4997])).
% 0.80/0.95 tff(4999,plain,
% 0.80/0.95 ((~(i10 = i37)) <=> (~(i10 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5000,axiom,(~(i10 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp521')).
% 0.80/0.95 tff(5001,plain,
% 0.80/0.95 (~(i10 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 0.80/0.95 tff(5002,plain,
% 0.80/0.95 (~(i10 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5001, 4998])).
% 0.80/0.95 tff(5003,plain,
% 0.80/0.95 (select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489)) = select(store(a_1469, i27, e27), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1619, 33, 5002])).
% 0.80/0.95 tff(5004,plain,
% 0.80/0.95 (select(store(a_1469, i27, e27), sk(a_1449, a_1489)) = select(store(store(a_1469, i27, e27), i10, e10), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5003])).
% 0.80/0.95 tff(5005,plain,
% 0.80/0.95 ((i27 = i37) <=> (i27 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5006,plain,
% 0.80/0.95 ((~(i27 = i37)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5005])).
% 0.80/0.95 tff(5007,plain,
% 0.80/0.95 ((~(i27 = i37)) <=> (~(i27 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5008,axiom,(~(i27 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp164')).
% 0.80/0.95 tff(5009,plain,
% 0.80/0.95 (~(i27 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 0.80/0.95 tff(5010,plain,
% 0.80/0.95 (~(i27 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5009, 5006])).
% 0.80/0.95 tff(5011,plain,
% 0.80/0.95 (select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489)) = select(store(a_1468, i21, e21), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[3293, 5010])).
% 0.80/0.95 tff(5012,plain,
% 0.80/0.95 (select(store(a_1468, i21, e21), sk(a_1449, a_1489)) = select(store(store(a_1468, i21, e21), i27, e27), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5011])).
% 0.80/0.95 tff(5013,plain,
% 0.80/0.95 ((i21 = i37) <=> (i21 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5014,plain,
% 0.80/0.95 ((~(i21 = i37)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5013])).
% 0.80/0.95 tff(5015,plain,
% 0.80/0.95 ((~(i21 = i37)) <=> (~(i21 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5016,axiom,(~(i21 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp257')).
% 0.80/0.95 tff(5017,plain,
% 0.80/0.95 (~(i21 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 0.80/0.95 tff(5018,plain,
% 0.80/0.95 (~(i21 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5017, 5014])).
% 0.80/0.95 tff(5019,plain,
% 0.80/0.95 (select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489)) = select(store(a_1467, i26, e26), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1657, 33, 5018])).
% 0.80/0.95 tff(5020,plain,
% 0.80/0.95 (select(store(a_1467, i26, e26), sk(a_1449, a_1489)) = select(store(store(a_1467, i26, e26), i21, e21), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5019])).
% 0.80/0.95 tff(5021,plain,
% 0.80/0.95 ((i26 = i37) <=> (i26 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5022,plain,
% 0.80/0.95 ((~(i26 = i37)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5021])).
% 0.80/0.95 tff(5023,plain,
% 0.80/0.95 ((~(i26 = i37)) <=> (~(i26 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5024,axiom,(~(i26 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp177')).
% 0.80/0.95 tff(5025,plain,
% 0.80/0.95 (~(i26 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5024, 5023])).
% 0.80/0.95 tff(5026,plain,
% 0.80/0.95 (~(i26 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5025, 5022])).
% 0.80/0.95 tff(5027,plain,
% 0.80/0.95 (select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489)) = select(store(a_1466, i23, e23), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[2951, 5026])).
% 0.80/0.95 tff(5028,plain,
% 0.80/0.95 (select(store(a_1466, i23, e23), sk(a_1449, a_1489)) = select(store(store(a_1466, i23, e23), i26, e26), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5027])).
% 0.80/0.95 tff(5029,plain,
% 0.80/0.95 ((i23 = i37) <=> (i23 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5030,plain,
% 0.80/0.95 ((~(i23 = i37)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5029])).
% 0.80/0.95 tff(5031,plain,
% 0.80/0.95 ((~(i23 = i37)) <=> (~(i23 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5032,axiom,(~(i23 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp222')).
% 0.80/0.95 tff(5033,plain,
% 0.80/0.95 (~(i23 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 0.80/0.95 tff(5034,plain,
% 0.80/0.95 (~(i23 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5033, 5030])).
% 0.80/0.95 tff(5035,plain,
% 0.80/0.95 (select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489)) = select(store(a_1465, i35, e35), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1695, 33, 5034])).
% 0.80/0.95 tff(5036,plain,
% 0.80/0.95 (select(store(a_1465, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1465, i35, e35), i23, e23), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5035])).
% 0.80/0.95 tff(5037,plain,
% 0.80/0.95 ((i35 = i37) <=> (i35 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5038,plain,
% 0.80/0.95 ((~(i35 = i37)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5037])).
% 0.80/0.95 tff(5039,plain,
% 0.80/0.95 ((~(i35 = i37)) <=> (~(i35 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5040,axiom,(~(i35 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp96')).
% 0.80/0.95 tff(5041,plain,
% 0.80/0.95 (~(i35 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 0.80/0.95 tff(5042,plain,
% 0.80/0.95 (~(i35 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5041, 5038])).
% 0.80/0.95 tff(5043,plain,
% 0.80/0.95 (select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489)) = select(store(a_1464, i20, e20), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1707, 33, 5042])).
% 0.80/0.95 tff(5044,plain,
% 0.80/0.95 (select(store(a_1464, i20, e20), sk(a_1449, a_1489)) = select(store(store(a_1464, i20, e20), i35, e35), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5043])).
% 0.80/0.95 tff(5045,plain,
% 0.80/0.95 ((i20 = i37) <=> (i20 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5046,plain,
% 0.80/0.95 ((~(i20 = i37)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5045])).
% 0.80/0.95 tff(5047,plain,
% 0.80/0.95 ((~(i20 = i37)) <=> (~(i20 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5048,axiom,(~(i20 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp276')).
% 0.80/0.95 tff(5049,plain,
% 0.80/0.95 (~(i20 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 0.80/0.95 tff(5050,plain,
% 0.80/0.95 (~(i20 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5049, 5046])).
% 0.80/0.95 tff(5051,plain,
% 0.80/0.95 (select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489)) = select(store(a_1463, i36, e36), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1725, 33, 5050])).
% 0.80/0.95 tff(5052,plain,
% 0.80/0.95 (select(store(a_1463, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1463, i36, e36), i20, e20), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5051])).
% 0.80/0.95 tff(5053,plain,
% 0.80/0.95 ((i36 = i37) <=> (i36 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5054,plain,
% 0.80/0.95 ((~(i36 = i37)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5053])).
% 0.80/0.95 tff(5055,plain,
% 0.80/0.95 ((~(i36 = i37)) <=> (~(i36 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5056,axiom,(~(i36 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp92')).
% 0.80/0.95 tff(5057,plain,
% 0.80/0.95 (~(i36 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 0.80/0.95 tff(5058,plain,
% 0.80/0.95 (~(i36 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5057, 5054])).
% 0.80/0.95 tff(5059,plain,
% 0.80/0.95 (select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489)) = select(store(a_1462, i12, e12), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1737, 33, 5058])).
% 0.80/0.95 tff(5060,plain,
% 0.80/0.95 (select(store(a_1462, i12, e12), sk(a_1449, a_1489)) = select(store(store(a_1462, i12, e12), i36, e36), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5059])).
% 0.80/0.95 tff(5061,plain,
% 0.80/0.95 ((i12 = i37) <=> (i12 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5062,plain,
% 0.80/0.95 ((~(i12 = i37)) <=> (~(i12 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5061])).
% 0.80/0.95 tff(5063,plain,
% 0.80/0.95 ((~(i12 = i37)) <=> (~(i12 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5064,axiom,(~(i12 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp464')).
% 0.80/0.95 tff(5065,plain,
% 0.80/0.95 (~(i12 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 0.80/0.95 tff(5066,plain,
% 0.80/0.95 (~(i12 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5065, 5062])).
% 0.80/0.95 tff(5067,plain,
% 0.80/0.95 (select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489)) = select(store(a_1461, i13, e13), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1755, 33, 5066])).
% 0.80/0.95 tff(5068,plain,
% 0.80/0.95 (select(store(a_1461, i13, e13), sk(a_1449, a_1489)) = select(store(store(a_1461, i13, e13), i12, e12), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5067])).
% 0.80/0.95 tff(5069,plain,
% 0.80/0.95 ((i13 = i37) <=> (i13 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5070,plain,
% 0.80/0.95 ((~(i13 = i37)) <=> (~(i13 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5069])).
% 0.80/0.95 tff(5071,plain,
% 0.80/0.95 ((~(i13 = i37)) <=> (~(i13 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5072,axiom,(~(i13 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp437')).
% 0.80/0.95 tff(5073,plain,
% 0.80/0.95 (~(i13 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 0.80/0.95 tff(5074,plain,
% 0.80/0.95 (~(i13 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5073, 5070])).
% 0.80/0.95 tff(5075,plain,
% 0.80/0.95 (select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489)) = select(store(a_1460, i31, e31), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1774, 33, 5074])).
% 0.80/0.95 tff(5076,plain,
% 0.80/0.95 (select(store(a_1460, i31, e31), sk(a_1449, a_1489)) = select(store(store(a_1460, i31, e31), i13, e13), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5075])).
% 0.80/0.95 tff(5077,plain,
% 0.80/0.95 (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = e_1492),
% 0.80/0.95 inference(transitivity,[status(thm)],[1783, 5076, 1764, 5068, 1745, 5060, 1734, 5052, 1715, 5044, 1704, 5036, 1685, 5028, 1666, 5020, 1647, 5012, 1628, 5004, 1609, 4996, 1590, 4988, 1571, 4980, 1560, 4972, 1057, 1051, 1046, 4678, 1035, 497, 492, 4964, 473, 4956, 454, 4948, 435, 4940, 416, 4932, 397, 4924, 378, 4916, 358, 527, 339, 525, 331, 524, 330, 39, 329, 13])).
% 0.80/0.95 tff(5078,plain,
% 0.80/0.95 ((select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5077, 4908])).
% 0.80/0.95 tff(5079,plain,
% 0.80/0.95 ((select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.80/0.95 inference(transitivity,[status(thm)],[5078, 1])).
% 0.80/0.95 tff(5080,plain,
% 0.80/0.95 ((e_1491 = e_1492) <=> (select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5079])).
% 0.80/0.95 tff(5081,plain,
% 0.80/0.95 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489))))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5080])).
% 0.80/0.95 tff(5082,plain,
% 0.80/0.95 (~(select(store(store(a_1459, i37, e37), i31, e31), sk(a_1449, a_1489)) = select(store(a_1459, i37, e37), sk(a_1449, a_1489)))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[314, 5081])).
% 0.80/0.95 tff(5083,plain,
% 0.80/0.95 ((i31 = i37) <=> (i31 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[4899])).
% 0.80/0.95 tff(5084,plain,
% 0.80/0.95 ((~(i31 = i37)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5083])).
% 0.80/0.95 tff(5085,plain,
% 0.80/0.95 ((~(i31 = i37)) <=> (~(i31 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5086,axiom,(~(i31 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp122')).
% 0.80/0.95 tff(5087,plain,
% 0.80/0.95 (~(i31 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 0.80/0.95 tff(5088,plain,
% 0.80/0.95 (~(i31 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5087, 5084])).
% 0.80/0.95 tff(5089,plain,
% 0.80/0.95 ($false),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[1793, 33, 5088, 5082])).
% 0.80/0.95 tff(5090,plain,((i34 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i28 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.95 tff(5091,plain,
% 0.80/0.95 (i34 = sk(a_1449, a_1489)),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5090, 319, 318, 14, 57, 27])).
% 0.80/0.95 tff(5092,plain,
% 0.80/0.95 ((i34 = i35) <=> (sk(a_1449, a_1489) = i35)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5091])).
% 0.80/0.95 tff(5093,plain,
% 0.80/0.95 ((i34 = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(transitivity,[status(thm)],[5092, 213])).
% 0.80/0.95 tff(5094,plain,
% 0.80/0.95 ((~(i34 = i35)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5093])).
% 0.80/0.95 tff(5095,plain,
% 0.80/0.95 ((~(i34 = i35)) <=> (~(i34 = i35))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5096,axiom,(~(i34 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp103')).
% 0.80/0.95 tff(5097,plain,
% 0.80/0.95 (~(i34 = i35)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 0.80/0.95 tff(5098,plain,
% 0.80/0.95 (~(i35 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5097, 5094])).
% 0.80/0.95 tff(5099,plain,
% 0.80/0.95 (select(store(store(a_1484, i15, e15), i34, e34), i34) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[338, 5091])).
% 0.80/0.95 tff(5100,plain,
% 0.80/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1484, i15, e15), i34, e34), i34) = e34)),
% 0.80/0.95 inference(quant_inst,[status(thm)],[])).
% 0.80/0.95 tff(5101,plain,
% 0.80/0.95 (select(store(store(a_1484, i15, e15), i34, e34), i34) = e34),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5100, 97])).
% 0.80/0.95 tff(5102,plain,
% 0.80/0.95 (e34 = select(store(store(a_1484, i15, e15), i34, e34), i34)),
% 0.80/0.95 inference(symmetry,[status(thm)],[5101])).
% 0.80/0.95 tff(5103,plain,
% 0.80/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1441, i33, e33), i34, e34), i34) = e34)),
% 0.80/0.95 inference(quant_inst,[status(thm)],[])).
% 0.80/0.95 tff(5104,plain,
% 0.80/0.95 (select(store(store(a_1441, i33, e33), i34, e34), i34) = e34),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5103, 97])).
% 0.80/0.95 tff(5105,plain,
% 0.80/0.95 (sk(a_1449, a_1489) = i34),
% 0.80/0.95 inference(symmetry,[status(thm)],[5091])).
% 0.80/0.95 tff(5106,plain,
% 0.80/0.95 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1441, i33, e33), i34, e34), i34)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5105])).
% 0.80/0.95 tff(5107,plain,
% 0.80/0.95 (select(store(a_1442, i34, e34), sk(a_1449, a_1489)) = e_1492),
% 0.80/0.95 inference(transitivity,[status(thm)],[3279, 5106, 5104, 5102, 5099, 525, 331, 524, 330, 39, 329, 13])).
% 0.80/0.95 tff(5108,plain,
% 0.80/0.95 ((i34 = i37) <=> (sk(a_1449, a_1489) = i37)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5091])).
% 0.80/0.95 tff(5109,plain,
% 0.80/0.95 ((i34 = i37) <=> (i37 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(transitivity,[status(thm)],[5108, 251])).
% 0.80/0.95 tff(5110,plain,
% 0.80/0.95 ((~(i34 = i37)) <=> (~(i37 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5109])).
% 0.80/0.95 tff(5111,plain,
% 0.80/0.95 ((~(i34 = i37)) <=> (~(i34 = i37))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5112,axiom,(~(i34 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp101')).
% 0.80/0.95 tff(5113,plain,
% 0.80/0.95 (~(i34 = i37)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 0.80/0.95 tff(5114,plain,
% 0.80/0.95 (~(i37 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5113, 5110])).
% 0.80/0.95 tff(5115,plain,
% 0.80/0.95 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[529, 5114])).
% 0.80/0.95 tff(5116,plain,
% 0.80/0.95 (select(store(a_1444, i36, e36), sk(a_1449, a_1489)) = select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5115])).
% 0.80/0.95 tff(5117,plain,
% 0.80/0.95 ((i34 = i36) <=> (sk(a_1449, a_1489) = i36)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5091])).
% 0.80/0.95 tff(5118,plain,
% 0.80/0.95 ((i34 = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(transitivity,[status(thm)],[5117, 232])).
% 0.80/0.95 tff(5119,plain,
% 0.80/0.95 ((~(i34 = i36)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5118])).
% 0.80/0.95 tff(5120,plain,
% 0.80/0.95 ((~(i34 = i36)) <=> (~(i34 = i36))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5121,axiom,(~(i34 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp102')).
% 0.80/0.95 tff(5122,plain,
% 0.80/0.95 (~(i34 = i36)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5121, 5120])).
% 0.80/0.95 tff(5123,plain,
% 0.80/0.95 (~(i36 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5122, 5119])).
% 0.80/0.95 tff(5124,plain,
% 0.80/0.95 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[242, 33, 5123])).
% 0.80/0.95 tff(5125,plain,
% 0.80/0.95 (select(store(a_1443, i35, e35), sk(a_1449, a_1489)) = select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5124])).
% 0.80/0.95 tff(5126,plain,
% 0.80/0.95 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = e_1491),
% 0.80/0.95 inference(transitivity,[status(thm)],[230, 5125, 249, 5116, 268, 522, 287, 321, 307, 56, 50, 5])).
% 0.80/0.95 tff(5127,plain,
% 0.80/0.95 ((select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5126, 5107])).
% 0.80/0.95 tff(5128,plain,
% 0.80/0.95 ((e_1491 = e_1492) <=> (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5127])).
% 0.80/0.95 tff(5129,plain,
% 0.80/0.95 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5128])).
% 0.80/0.95 tff(5130,plain,
% 0.80/0.95 (~(select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489)))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[314, 5129])).
% 0.80/0.95 tff(5131,plain,
% 0.80/0.95 ($false),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[223, 33, 5130, 5098])).
% 0.80/0.95 tff(5132,plain,((i28 = sk(a_1449, a_1489)) | (i39 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i29 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.95 tff(5133,plain,
% 0.80/0.95 (i39 = sk(a_1449, a_1489)),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5132, 317, 14, 57, 27])).
% 0.80/0.95 tff(5134,plain,
% 0.80/0.95 (select(store(store(a_1446, i38, e38), i39, e39), i39) = select(store(a_1447, i39, e39), sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[306, 5133])).
% 0.80/0.95 tff(5135,plain,
% 0.80/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1446, i38, e38), i39, e39), i39) = e39)),
% 0.80/0.95 inference(quant_inst,[status(thm)],[])).
% 0.80/0.95 tff(5136,plain,
% 0.80/0.95 (select(store(store(a_1446, i38, e38), i39, e39), i39) = e39),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5135, 97])).
% 0.80/0.95 tff(5137,plain,
% 0.80/0.95 (e39 = select(store(store(a_1446, i38, e38), i39, e39), i39)),
% 0.80/0.95 inference(symmetry,[status(thm)],[5136])).
% 0.80/0.95 tff(5138,plain,
% 0.80/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1476, i38, e38), i39, e39), i39) = e39)),
% 0.80/0.95 inference(quant_inst,[status(thm)],[])).
% 0.80/0.95 tff(5139,plain,
% 0.80/0.95 (select(store(store(a_1476, i38, e38), i39, e39), i39) = e39),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[5138, 97])).
% 0.80/0.95 tff(5140,plain,
% 0.80/0.95 (sk(a_1449, a_1489) = i39),
% 0.80/0.95 inference(symmetry,[status(thm)],[5133])).
% 0.80/0.95 tff(5141,plain,
% 0.80/0.95 (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1476, i38, e38), i39, e39), i39)),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5140])).
% 0.80/0.95 tff(5142,plain,
% 0.80/0.95 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = e_1491),
% 0.80/0.95 inference(transitivity,[status(thm)],[2550, 5141, 5139, 5137, 5134, 56, 50, 5])).
% 0.80/0.95 tff(5143,plain,
% 0.80/0.95 (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[325, 317])).
% 0.80/0.95 tff(5144,plain,
% 0.80/0.95 (select(store(a_1485, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5143])).
% 0.80/0.95 tff(5145,plain,
% 0.80/0.95 ((i34 = i39) <=> (i34 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5146,plain,
% 0.80/0.95 ((~(i34 = i39)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5145])).
% 0.80/0.95 tff(5147,plain,
% 0.80/0.95 ((~(i34 = i39)) <=> (~(i34 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5148,axiom,(~(i34 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp99')).
% 0.80/0.95 tff(5149,plain,
% 0.80/0.95 (~(i34 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 0.80/0.95 tff(5150,plain,
% 0.80/0.95 (~(i34 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5149, 5146])).
% 0.80/0.95 tff(5151,plain,
% 0.80/0.95 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[349, 33, 5150])).
% 0.80/0.95 tff(5152,plain,
% 0.80/0.95 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5151])).
% 0.80/0.95 tff(5153,plain,
% 0.80/0.95 ((i15 = i39) <=> (i15 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5154,plain,
% 0.80/0.95 ((~(i15 = i39)) <=> (~(i15 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5153])).
% 0.80/0.95 tff(5155,plain,
% 0.80/0.95 ((~(i15 = i39)) <=> (~(i15 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5156,axiom,(~(i15 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp384')).
% 0.80/0.95 tff(5157,plain,
% 0.80/0.95 (~(i15 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 0.80/0.95 tff(5158,plain,
% 0.80/0.95 (~(i15 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5157, 5154])).
% 0.80/0.95 tff(5159,plain,
% 0.80/0.95 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[369, 33, 5158])).
% 0.80/0.95 tff(5160,plain,
% 0.80/0.95 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5159])).
% 0.80/0.95 tff(5161,plain,
% 0.80/0.95 ((i30 = i39) <=> (i30 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5162,plain,
% 0.80/0.95 ((~(i30 = i39)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5161])).
% 0.80/0.95 tff(5163,plain,
% 0.80/0.95 ((~(i30 = i39)) <=> (~(i30 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5164,axiom,(~(i30 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp129')).
% 0.80/0.95 tff(5165,plain,
% 0.80/0.95 (~(i30 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5164, 5163])).
% 0.80/0.95 tff(5166,plain,
% 0.80/0.95 (~(i30 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5165, 5162])).
% 0.80/0.95 tff(5167,plain,
% 0.80/0.95 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[388, 33, 5166])).
% 0.80/0.95 tff(5168,plain,
% 0.80/0.95 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5167])).
% 0.80/0.95 tff(5169,plain,
% 0.80/0.95 ((i4 = i39) <=> (i4 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5170,plain,
% 0.80/0.95 ((~(i4 = i39)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5169])).
% 0.80/0.95 tff(5171,plain,
% 0.80/0.95 ((~(i4 = i39)) <=> (~(i4 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5172,axiom,(~(i4 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp714')).
% 0.80/0.95 tff(5173,plain,
% 0.80/0.95 (~(i4 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 0.80/0.95 tff(5174,plain,
% 0.80/0.95 (~(i4 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5173, 5170])).
% 0.80/0.95 tff(5175,plain,
% 0.80/0.95 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[407, 33, 5174])).
% 0.80/0.95 tff(5176,plain,
% 0.80/0.95 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5175])).
% 0.80/0.95 tff(5177,plain,
% 0.80/0.95 ((i5 = i39) <=> (i5 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5178,plain,
% 0.80/0.95 ((~(i5 = i39)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5177])).
% 0.80/0.95 tff(5179,plain,
% 0.80/0.95 ((~(i5 = i39)) <=> (~(i5 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5180,axiom,(~(i5 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp679')).
% 0.80/0.95 tff(5181,plain,
% 0.80/0.95 (~(i5 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 0.80/0.95 tff(5182,plain,
% 0.80/0.95 (~(i5 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5181, 5178])).
% 0.80/0.95 tff(5183,plain,
% 0.80/0.95 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[426, 33, 5182])).
% 0.80/0.95 tff(5184,plain,
% 0.80/0.95 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5183])).
% 0.80/0.95 tff(5185,plain,
% 0.80/0.95 ((i3 = i39) <=> (i3 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5186,plain,
% 0.80/0.95 ((~(i3 = i39)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5185])).
% 0.80/0.95 tff(5187,plain,
% 0.80/0.95 ((~(i3 = i39)) <=> (~(i3 = i39))),
% 0.80/0.95 inference(rewrite,[status(thm)],[])).
% 0.80/0.95 tff(5188,axiom,(~(i3 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp750')).
% 0.80/0.95 tff(5189,plain,
% 0.80/0.95 (~(i3 = i39)),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 0.80/0.95 tff(5190,plain,
% 0.80/0.95 (~(i3 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(modus_ponens,[status(thm)],[5189, 5186])).
% 0.80/0.95 tff(5191,plain,
% 0.80/0.95 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.80/0.95 inference(unit_resolution,[status(thm)],[445, 33, 5190])).
% 0.80/0.95 tff(5192,plain,
% 0.80/0.95 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.80/0.95 inference(symmetry,[status(thm)],[5191])).
% 0.80/0.95 tff(5193,plain,
% 0.80/0.95 ((i9 = i39) <=> (i9 = sk(a_1449, a_1489))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.95 tff(5194,plain,
% 0.80/0.95 ((~(i9 = i39)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.80/0.95 inference(monotonicity,[status(thm)],[5193])).
% 0.80/0.96 tff(5195,plain,
% 0.80/0.96 ((~(i9 = i39)) <=> (~(i9 = i39))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5196,axiom,(~(i9 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp549')).
% 0.80/0.96 tff(5197,plain,
% 0.80/0.96 (~(i9 = i39)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 0.80/0.96 tff(5198,plain,
% 0.80/0.96 (~(i9 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5197, 5194])).
% 0.80/0.96 tff(5199,plain,
% 0.80/0.96 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[464, 33, 5198])).
% 0.80/0.96 tff(5200,plain,
% 0.80/0.96 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.80/0.96 inference(symmetry,[status(thm)],[5199])).
% 0.80/0.96 tff(5201,plain,
% 0.80/0.96 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = e_1492),
% 0.80/0.96 inference(transitivity,[status(thm)],[473, 5200, 454, 5192, 435, 5184, 416, 5176, 397, 5168, 378, 5160, 358, 5152, 339, 5144, 331, 524, 330, 39, 329, 13])).
% 0.80/0.96 tff(5202,plain,
% 0.80/0.96 ((select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5201, 5142])).
% 0.80/0.96 tff(5203,plain,
% 0.80/0.96 ((select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.80/0.96 inference(transitivity,[status(thm)],[5202, 1])).
% 0.80/0.96 tff(5204,plain,
% 0.80/0.96 ((e_1491 = e_1492) <=> (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))),
% 0.80/0.96 inference(symmetry,[status(thm)],[5203])).
% 0.80/0.96 tff(5205,plain,
% 0.80/0.96 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5204])).
% 0.80/0.96 tff(5206,plain,
% 0.80/0.96 (~(select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489)))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[314, 5205])).
% 0.80/0.96 tff(5207,plain,
% 0.80/0.96 ((i1 = i39) <=> (i1 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5133])).
% 0.80/0.96 tff(5208,plain,
% 0.80/0.96 ((~(i1 = i39)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5207])).
% 0.80/0.96 tff(5209,plain,
% 0.80/0.96 ((~(i1 = i39)) <=> (~(i1 = i39))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5210,axiom,(~(i1 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp825')).
% 0.80/0.96 tff(5211,plain,
% 0.80/0.96 (~(i1 = i39)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 0.80/0.96 tff(5212,plain,
% 0.80/0.96 (~(i1 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5211, 5208])).
% 0.80/0.96 tff(5213,plain,
% 0.80/0.96 ($false),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[483, 33, 5212, 5206])).
% 0.80/0.96 tff(5214,plain,((i29 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489)) | (i19 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.96 tff(5215,plain,
% 0.80/0.96 (i29 = sk(a_1449, a_1489)),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5214, 27, 14])).
% 0.80/0.96 tff(5216,plain,
% 0.80/0.96 (sk(a_1449, a_1489) = i29),
% 0.80/0.96 inference(symmetry,[status(thm)],[5215])).
% 0.80/0.96 tff(5217,plain,
% 0.80/0.96 (select(store(a_1487, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1486, i28, e28), i29, e29), i29)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[77, 5216])).
% 0.80/0.96 tff(5218,plain,
% 0.80/0.96 (select(store(store(a_1486, i28, e28), i29, e29), i29) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))),
% 0.80/0.96 inference(symmetry,[status(thm)],[5217])).
% 0.80/0.96 tff(5219,plain,
% 0.80/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1486, i28, e28), i29, e29), i29) = e29)),
% 0.80/0.96 inference(quant_inst,[status(thm)],[])).
% 0.80/0.96 tff(5220,plain,
% 0.80/0.96 (select(store(store(a_1486, i28, e28), i29, e29), i29) = e29),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5219, 97])).
% 0.80/0.96 tff(5221,plain,
% 0.80/0.96 (e29 = select(store(store(a_1486, i28, e28), i29, e29), i29)),
% 0.80/0.96 inference(symmetry,[status(thm)],[5220])).
% 0.80/0.96 tff(5222,plain,
% 0.80/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1436, i28, e28), i29, e29), i29) = e29)),
% 0.80/0.96 inference(quant_inst,[status(thm)],[])).
% 0.80/0.96 tff(5223,plain,
% 0.80/0.96 (select(store(store(a_1436, i28, e28), i29, e29), i29) = e29),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5222, 97])).
% 0.80/0.96 tff(5224,plain,
% 0.80/0.96 (select(store(store(a_1436, i28, e28), i29, e29), i29) = select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5225,plain,
% 0.80/0.96 (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1436, i28, e28), i29, e29), i29)),
% 0.80/0.96 inference(symmetry,[status(thm)],[5224])).
% 0.80/0.96 tff(5226,plain,
% 0.80/0.96 ((i29 = i30) <=> (sk(a_1449, a_1489) = i30)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5227,plain,
% 0.80/0.96 ((i29 = i30) <=> (i30 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5226, 118])).
% 0.80/0.96 tff(5228,plain,
% 0.80/0.96 ((~(i29 = i30)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5227])).
% 0.80/0.96 tff(5229,plain,
% 0.80/0.96 ((~(i29 = i30)) <=> (~(i29 = i30))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5230,axiom,(~(i29 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp148')).
% 0.80/0.96 tff(5231,plain,
% 0.80/0.96 (~(i29 = i30)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5230, 5229])).
% 0.80/0.96 tff(5232,plain,
% 0.80/0.96 (~(i30 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5231, 5228])).
% 0.80/0.96 tff(5233,plain,
% 0.80/0.96 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[128, 33, 5232])).
% 0.80/0.96 tff(5234,plain,
% 0.80/0.96 ((i29 = i31) <=> (sk(a_1449, a_1489) = i31)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5235,plain,
% 0.80/0.96 ((i29 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5234, 137])).
% 0.80/0.96 tff(5236,plain,
% 0.80/0.96 ((~(i29 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5235])).
% 0.80/0.96 tff(5237,plain,
% 0.80/0.96 ((~(i29 = i31)) <=> (~(i29 = i31))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5238,axiom,(~(i29 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp147')).
% 0.80/0.96 tff(5239,plain,
% 0.80/0.96 (~(i29 = i31)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 0.80/0.96 tff(5240,plain,
% 0.80/0.96 (~(i31 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5239, 5236])).
% 0.80/0.96 tff(5241,plain,
% 0.80/0.96 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[147, 33, 5240])).
% 0.80/0.96 tff(5242,plain,
% 0.80/0.96 ((i29 = i32) <=> (sk(a_1449, a_1489) = i32)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5243,plain,
% 0.80/0.96 ((i29 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5242, 156])).
% 0.80/0.96 tff(5244,plain,
% 0.80/0.96 ((~(i29 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5243])).
% 0.80/0.96 tff(5245,plain,
% 0.80/0.96 ((~(i29 = i32)) <=> (~(i29 = i32))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5246,axiom,(~(i29 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp146')).
% 0.80/0.96 tff(5247,plain,
% 0.80/0.96 (~(i29 = i32)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5246, 5245])).
% 0.80/0.96 tff(5248,plain,
% 0.80/0.96 (~(i32 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5247, 5244])).
% 0.80/0.96 tff(5249,plain,
% 0.80/0.96 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[166, 33, 5248])).
% 0.80/0.96 tff(5250,plain,
% 0.80/0.96 ((i29 = i33) <=> (sk(a_1449, a_1489) = i33)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5251,plain,
% 0.80/0.96 ((i29 = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5250, 175])).
% 0.80/0.96 tff(5252,plain,
% 0.80/0.96 ((~(i29 = i33)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5251])).
% 0.80/0.96 tff(5253,plain,
% 0.80/0.96 ((~(i29 = i33)) <=> (~(i29 = i33))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5254,axiom,(~(i29 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp145')).
% 0.80/0.96 tff(5255,plain,
% 0.80/0.96 (~(i29 = i33)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 0.80/0.96 tff(5256,plain,
% 0.80/0.96 (~(i33 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5255, 5252])).
% 0.80/0.96 tff(5257,plain,
% 0.80/0.96 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[185, 33, 5256])).
% 0.80/0.96 tff(5258,plain,
% 0.80/0.96 ((i29 = i34) <=> (sk(a_1449, a_1489) = i34)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5259,plain,
% 0.80/0.96 ((i29 = i34) <=> (i34 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5258, 194])).
% 0.80/0.96 tff(5260,plain,
% 0.80/0.96 ((~(i29 = i34)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5259])).
% 0.80/0.96 tff(5261,plain,
% 0.80/0.96 ((~(i29 = i34)) <=> (~(i29 = i34))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5262,axiom,(~(i29 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp144')).
% 0.80/0.96 tff(5263,plain,
% 0.80/0.96 (~(i29 = i34)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 0.80/0.96 tff(5264,plain,
% 0.80/0.96 (~(i34 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5263, 5260])).
% 0.80/0.96 tff(5265,plain,
% 0.80/0.96 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[204, 33, 5264])).
% 0.80/0.96 tff(5266,plain,
% 0.80/0.96 ((i29 = i35) <=> (sk(a_1449, a_1489) = i35)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5267,plain,
% 0.80/0.96 ((i29 = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5266, 213])).
% 0.80/0.96 tff(5268,plain,
% 0.80/0.96 ((~(i29 = i35)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5267])).
% 0.80/0.96 tff(5269,plain,
% 0.80/0.96 ((~(i29 = i35)) <=> (~(i29 = i35))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5270,axiom,(~(i29 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp143')).
% 0.80/0.96 tff(5271,plain,
% 0.80/0.96 (~(i29 = i35)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 0.80/0.96 tff(5272,plain,
% 0.80/0.96 (~(i35 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5271, 5268])).
% 0.80/0.96 tff(5273,plain,
% 0.80/0.96 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[223, 33, 5272])).
% 0.80/0.96 tff(5274,plain,
% 0.80/0.96 ((i29 = i36) <=> (sk(a_1449, a_1489) = i36)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5275,plain,
% 0.80/0.96 ((i29 = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5274, 232])).
% 0.80/0.96 tff(5276,plain,
% 0.80/0.96 ((~(i29 = i36)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5275])).
% 0.80/0.96 tff(5277,plain,
% 0.80/0.96 ((~(i29 = i36)) <=> (~(i29 = i36))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5278,axiom,(~(i29 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp142')).
% 0.80/0.96 tff(5279,plain,
% 0.80/0.96 (~(i29 = i36)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5278, 5277])).
% 0.80/0.96 tff(5280,plain,
% 0.80/0.96 (~(i36 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5279, 5276])).
% 0.80/0.96 tff(5281,plain,
% 0.80/0.96 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[242, 33, 5280])).
% 0.80/0.96 tff(5282,plain,
% 0.80/0.96 ((i29 = i37) <=> (sk(a_1449, a_1489) = i37)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5283,plain,
% 0.80/0.96 ((i29 = i37) <=> (i37 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5282, 251])).
% 0.80/0.96 tff(5284,plain,
% 0.80/0.96 ((~(i29 = i37)) <=> (~(i37 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5283])).
% 0.80/0.96 tff(5285,plain,
% 0.80/0.96 ((~(i29 = i37)) <=> (~(i29 = i37))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5286,axiom,(~(i29 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp141')).
% 0.80/0.96 tff(5287,plain,
% 0.80/0.96 (~(i29 = i37)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5286, 5285])).
% 0.80/0.96 tff(5288,plain,
% 0.80/0.96 (~(i37 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5287, 5284])).
% 0.80/0.96 tff(5289,plain,
% 0.80/0.96 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[261, 33, 5288])).
% 0.80/0.96 tff(5290,plain,
% 0.80/0.96 ((i29 = i38) <=> (sk(a_1449, a_1489) = i38)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5291,plain,
% 0.80/0.96 ((i29 = i38) <=> (i38 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5290, 270])).
% 0.80/0.96 tff(5292,plain,
% 0.80/0.96 ((~(i29 = i38)) <=> (~(i38 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5291])).
% 0.80/0.96 tff(5293,plain,
% 0.80/0.96 ((~(i29 = i38)) <=> (~(i29 = i38))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5294,axiom,(~(i29 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp140')).
% 0.80/0.96 tff(5295,plain,
% 0.80/0.96 (~(i29 = i38)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 0.80/0.96 tff(5296,plain,
% 0.80/0.96 (~(i38 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5295, 5292])).
% 0.80/0.96 tff(5297,plain,
% 0.80/0.96 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[280, 33, 5296])).
% 0.80/0.96 tff(5298,plain,
% 0.80/0.96 ((i29 = i39) <=> (sk(a_1449, a_1489) = i39)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5215])).
% 0.80/0.96 tff(5299,plain,
% 0.80/0.96 ((i29 = i39) <=> (i39 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5298, 289])).
% 0.80/0.96 tff(5300,plain,
% 0.80/0.96 ((~(i29 = i39)) <=> (~(i39 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5299])).
% 0.80/0.96 tff(5301,plain,
% 0.80/0.96 ((~(i29 = i39)) <=> (~(i29 = i39))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5302,axiom,(~(i29 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp139')).
% 0.80/0.96 tff(5303,plain,
% 0.80/0.96 (~(i29 = i39)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 0.80/0.96 tff(5304,plain,
% 0.80/0.96 (~(i39 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5303, 5300])).
% 0.80/0.96 tff(5305,plain,
% 0.80/0.96 (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[300, 5304])).
% 0.80/0.96 tff(5306,plain,
% 0.80/0.96 (e_1491 = e_1492),
% 0.80/0.96 inference(transitivity,[status(thm)],[4, 310, 55, 308, 5305, 288, 5297, 269, 5289, 250, 5281, 231, 5273, 212, 5265, 193, 5257, 174, 5249, 155, 5241, 136, 5233, 117, 5225, 5223, 5221, 5218, 39, 26, 13])).
% 0.80/0.96 tff(5307,plain,
% 0.80/0.96 ($false),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[314, 5306])).
% 0.80/0.96 tff(5308,plain,((i19 = sk(a_1449, a_1489)) | (i40 = sk(a_1449, a_1489))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.96 tff(5309,plain,
% 0.80/0.96 (i19 = sk(a_1449, a_1489)),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5308, 14])).
% 0.80/0.96 tff(5310,plain,
% 0.80/0.96 (sk(a_1449, a_1489) = i19),
% 0.80/0.96 inference(symmetry,[status(thm)],[5309])).
% 0.80/0.96 tff(5311,plain,
% 0.80/0.96 (i_1490 = i19),
% 0.80/0.96 inference(transitivity,[status(thm)],[8, 5310])).
% 0.80/0.96 tff(5312,plain,
% 0.80/0.96 (select(a_1489, i_1490) = select(store(store(a_1487, i29, e29), i19, e19), i19)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[24, 5311])).
% 0.80/0.96 tff(5313,plain,
% 0.80/0.96 (select(store(store(a_1487, i29, e29), i19, e19), i19) = select(a_1489, i_1490)),
% 0.80/0.96 inference(symmetry,[status(thm)],[5312])).
% 0.80/0.96 tff(5314,plain,
% 0.80/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1487, i29, e29), i19, e19), i19) = e19)),
% 0.80/0.96 inference(quant_inst,[status(thm)],[])).
% 0.80/0.96 tff(5315,plain,
% 0.80/0.96 (select(store(store(a_1487, i29, e29), i19, e19), i19) = e19),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5314, 97])).
% 0.80/0.96 tff(5316,plain,
% 0.80/0.96 (e19 = select(store(store(a_1487, i29, e29), i19, e19), i19)),
% 0.80/0.96 inference(symmetry,[status(thm)],[5315])).
% 0.80/0.96 tff(5317,plain,
% 0.80/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1426, i18, e18), i19, e19), i19) = e19)),
% 0.80/0.96 inference(quant_inst,[status(thm)],[])).
% 0.80/0.96 tff(5318,plain,
% 0.80/0.96 (select(store(store(a_1426, i18, e18), i19, e19), i19) = e19),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[5317, 97])).
% 0.80/0.96 tff(5319,plain,
% 0.80/0.96 (select(store(store(a_1426, i18, e18), i19, e19), i19) = select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5320,plain,
% 0.80/0.96 (select(store(store(a_1426, i18, e18), i19, e19), sk(a_1449, a_1489)) = select(store(store(a_1426, i18, e18), i19, e19), i19)),
% 0.80/0.96 inference(symmetry,[status(thm)],[5319])).
% 0.80/0.96 tff(5321,plain,
% 0.80/0.96 ((i19 = i20) <=> (sk(a_1449, a_1489) = i20)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5322,plain,
% 0.80/0.96 ((i19 = i20) <=> (i20 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5321, 2093])).
% 0.80/0.96 tff(5323,plain,
% 0.80/0.96 ((~(i19 = i20)) <=> (~(i20 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5322])).
% 0.80/0.96 tff(5324,plain,
% 0.80/0.96 ((~(i19 = i20)) <=> (~(i19 = i20))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5325,axiom,(~(i19 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp313')).
% 0.80/0.96 tff(5326,plain,
% 0.80/0.96 (~(i19 = i20)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5325, 5324])).
% 0.80/0.96 tff(5327,plain,
% 0.80/0.96 (~(i20 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5326, 5323])).
% 0.80/0.96 tff(5328,plain,
% 0.80/0.96 (select(store(store(a_1427, i19, e19), i20, e20), sk(a_1449, a_1489)) = select(store(a_1427, i19, e19), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[807, 33, 5327])).
% 0.80/0.96 tff(5329,plain,
% 0.80/0.96 ((i19 = i21) <=> (sk(a_1449, a_1489) = i21)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5330,plain,
% 0.80/0.96 ((i19 = i21) <=> (i21 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5329, 2083])).
% 0.80/0.96 tff(5331,plain,
% 0.80/0.96 ((~(i19 = i21)) <=> (~(i21 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5330])).
% 0.80/0.96 tff(5332,plain,
% 0.80/0.96 ((~(i19 = i21)) <=> (~(i19 = i21))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5333,axiom,(~(i19 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp312')).
% 0.80/0.96 tff(5334,plain,
% 0.80/0.96 (~(i19 = i21)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 0.80/0.96 tff(5335,plain,
% 0.80/0.96 (~(i21 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5334, 5331])).
% 0.80/0.96 tff(5336,plain,
% 0.80/0.96 (select(store(store(a_1428, i20, e20), i21, e21), sk(a_1449, a_1489)) = select(store(a_1428, i20, e20), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[786, 33, 5335])).
% 0.80/0.96 tff(5337,plain,
% 0.80/0.96 ((i19 = i22) <=> (sk(a_1449, a_1489) = i22)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5338,plain,
% 0.80/0.96 ((i19 = i22) <=> (i22 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5337, 2073])).
% 0.80/0.96 tff(5339,plain,
% 0.80/0.96 ((~(i19 = i22)) <=> (~(i22 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5338])).
% 0.80/0.96 tff(5340,plain,
% 0.80/0.96 ((~(i19 = i22)) <=> (~(i19 = i22))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5341,axiom,(~(i19 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp311')).
% 0.80/0.96 tff(5342,plain,
% 0.80/0.96 (~(i19 = i22)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 0.80/0.96 tff(5343,plain,
% 0.80/0.96 (~(i22 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5342, 5339])).
% 0.80/0.96 tff(5344,plain,
% 0.80/0.96 (select(store(store(a_1429, i21, e21), i22, e22), sk(a_1449, a_1489)) = select(store(a_1429, i21, e21), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[765, 33, 5343])).
% 0.80/0.96 tff(5345,plain,
% 0.80/0.96 ((i19 = i23) <=> (sk(a_1449, a_1489) = i23)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5346,plain,
% 0.80/0.96 ((i19 = i23) <=> (i23 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5345, 2063])).
% 0.80/0.96 tff(5347,plain,
% 0.80/0.96 ((~(i19 = i23)) <=> (~(i23 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5346])).
% 0.80/0.96 tff(5348,plain,
% 0.80/0.96 ((~(i19 = i23)) <=> (~(i19 = i23))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5349,axiom,(~(i19 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp310')).
% 0.80/0.96 tff(5350,plain,
% 0.80/0.96 (~(i19 = i23)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 0.80/0.96 tff(5351,plain,
% 0.80/0.96 (~(i23 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5350, 5347])).
% 0.80/0.96 tff(5352,plain,
% 0.80/0.96 (select(store(store(a_1430, i22, e22), i23, e23), sk(a_1449, a_1489)) = select(store(a_1430, i22, e22), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[744, 33, 5351])).
% 0.80/0.96 tff(5353,plain,
% 0.80/0.96 ((i19 = i24) <=> (sk(a_1449, a_1489) = i24)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5354,plain,
% 0.80/0.96 ((i19 = i24) <=> (i24 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5353, 2053])).
% 0.80/0.96 tff(5355,plain,
% 0.80/0.96 ((~(i19 = i24)) <=> (~(i24 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5354])).
% 0.80/0.96 tff(5356,plain,
% 0.80/0.96 ((~(i19 = i24)) <=> (~(i19 = i24))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5357,axiom,(~(i19 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp309')).
% 0.80/0.96 tff(5358,plain,
% 0.80/0.96 (~(i19 = i24)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 0.80/0.96 tff(5359,plain,
% 0.80/0.96 (~(i24 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5358, 5355])).
% 0.80/0.96 tff(5360,plain,
% 0.80/0.96 (select(store(store(a_1431, i23, e23), i24, e24), sk(a_1449, a_1489)) = select(store(a_1431, i23, e23), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[723, 33, 5359])).
% 0.80/0.96 tff(5361,plain,
% 0.80/0.96 ((i19 = i25) <=> (sk(a_1449, a_1489) = i25)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5362,plain,
% 0.80/0.96 ((i19 = i25) <=> (i25 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5361, 2043])).
% 0.80/0.96 tff(5363,plain,
% 0.80/0.96 ((~(i19 = i25)) <=> (~(i25 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5362])).
% 0.80/0.96 tff(5364,plain,
% 0.80/0.96 ((~(i19 = i25)) <=> (~(i19 = i25))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5365,axiom,(~(i19 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp308')).
% 0.80/0.96 tff(5366,plain,
% 0.80/0.96 (~(i19 = i25)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 0.80/0.96 tff(5367,plain,
% 0.80/0.96 (~(i25 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5366, 5363])).
% 0.80/0.96 tff(5368,plain,
% 0.80/0.96 (select(store(store(a_1432, i24, e24), i25, e25), sk(a_1449, a_1489)) = select(store(a_1432, i24, e24), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[702, 33, 5367])).
% 0.80/0.96 tff(5369,plain,
% 0.80/0.96 ((i19 = i26) <=> (sk(a_1449, a_1489) = i26)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5370,plain,
% 0.80/0.96 ((i19 = i26) <=> (i26 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5369, 2033])).
% 0.80/0.96 tff(5371,plain,
% 0.80/0.96 ((~(i19 = i26)) <=> (~(i26 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5370])).
% 0.80/0.96 tff(5372,plain,
% 0.80/0.96 ((~(i19 = i26)) <=> (~(i19 = i26))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5373,axiom,(~(i19 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp307')).
% 0.80/0.96 tff(5374,plain,
% 0.80/0.96 (~(i19 = i26)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 0.80/0.96 tff(5375,plain,
% 0.80/0.96 (~(i26 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5374, 5371])).
% 0.80/0.96 tff(5376,plain,
% 0.80/0.96 (select(store(store(a_1433, i25, e25), i26, e26), sk(a_1449, a_1489)) = select(store(a_1433, i25, e25), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[681, 33, 5375])).
% 0.80/0.96 tff(5377,plain,
% 0.80/0.96 ((i19 = i27) <=> (sk(a_1449, a_1489) = i27)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5378,plain,
% 0.80/0.96 ((i19 = i27) <=> (i27 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5377, 4410])).
% 0.80/0.96 tff(5379,plain,
% 0.80/0.96 ((~(i19 = i27)) <=> (~(i27 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5378])).
% 0.80/0.96 tff(5380,plain,
% 0.80/0.96 ((~(i19 = i27)) <=> (~(i19 = i27))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5381,axiom,(~(i19 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp306')).
% 0.80/0.96 tff(5382,plain,
% 0.80/0.96 (~(i19 = i27)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 0.80/0.96 tff(5383,plain,
% 0.80/0.96 (~(i27 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5382, 5379])).
% 0.80/0.96 tff(5384,plain,
% 0.80/0.96 (select(store(store(a_1434, i26, e26), i27, e27), sk(a_1449, a_1489)) = select(store(a_1434, i26, e26), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[660, 33, 5383])).
% 0.80/0.96 tff(5385,plain,
% 0.80/0.96 ((sk(a_1449, a_1489) = i28) <=> (i28 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(commutativity,[status(thm)],[])).
% 0.80/0.96 tff(5386,plain,
% 0.80/0.96 ((i19 = i28) <=> (sk(a_1449, a_1489) = i28)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5387,plain,
% 0.80/0.96 ((i19 = i28) <=> (i28 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5386, 5385])).
% 0.80/0.96 tff(5388,plain,
% 0.80/0.96 ((~(i19 = i28)) <=> (~(i28 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5387])).
% 0.80/0.96 tff(5389,plain,
% 0.80/0.96 ((~(i19 = i28)) <=> (~(i19 = i28))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5390,axiom,(~(i19 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp305')).
% 0.80/0.96 tff(5391,plain,
% 0.80/0.96 (~(i19 = i28)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 0.80/0.96 tff(5392,plain,
% 0.80/0.96 (~(i28 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5391, 5388])).
% 0.80/0.96 tff(5393,plain,
% 0.80/0.96 (select(store(store(a_1435, i27, e27), i28, e28), sk(a_1449, a_1489)) = select(store(a_1435, i27, e27), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[640, 33, 5392])).
% 0.80/0.96 tff(5394,plain,
% 0.80/0.96 ((sk(a_1449, a_1489) = i29) <=> (i29 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(commutativity,[status(thm)],[])).
% 0.80/0.96 tff(5395,plain,
% 0.80/0.96 ((i19 = i29) <=> (sk(a_1449, a_1489) = i29)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5396,plain,
% 0.80/0.96 ((i19 = i29) <=> (i29 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5395, 5394])).
% 0.80/0.96 tff(5397,plain,
% 0.80/0.96 ((~(i19 = i29)) <=> (~(i29 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5396])).
% 0.80/0.96 tff(5398,plain,
% 0.80/0.96 ((~(i19 = i29)) <=> (~(i19 = i29))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5399,axiom,(~(i19 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp304')).
% 0.80/0.96 tff(5400,plain,
% 0.80/0.96 (~(i19 = i29)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 0.80/0.96 tff(5401,plain,
% 0.80/0.96 (~(i29 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5400, 5397])).
% 0.80/0.96 tff(5402,plain,
% 0.80/0.96 (select(store(store(a_1436, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1436, i28, e28), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[63, 5401])).
% 0.80/0.96 tff(5403,plain,
% 0.80/0.96 ((i19 = i30) <=> (sk(a_1449, a_1489) = i30)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5404,plain,
% 0.80/0.96 ((i19 = i30) <=> (i30 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5403, 118])).
% 0.80/0.96 tff(5405,plain,
% 0.80/0.96 ((~(i19 = i30)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5404])).
% 0.80/0.96 tff(5406,plain,
% 0.80/0.96 ((~(i19 = i30)) <=> (~(i19 = i30))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5407,axiom,(~(i19 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp303')).
% 0.80/0.96 tff(5408,plain,
% 0.80/0.96 (~(i19 = i30)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 0.80/0.96 tff(5409,plain,
% 0.80/0.96 (~(i30 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5408, 5405])).
% 0.80/0.96 tff(5410,plain,
% 0.80/0.96 (select(store(store(a_1437, i29, e29), i30, e30), sk(a_1449, a_1489)) = select(store(a_1437, i29, e29), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[128, 33, 5409])).
% 0.80/0.96 tff(5411,plain,
% 0.80/0.96 ((i19 = i31) <=> (sk(a_1449, a_1489) = i31)),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.96 tff(5412,plain,
% 0.80/0.96 ((i19 = i31) <=> (i31 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(transitivity,[status(thm)],[5411, 137])).
% 0.80/0.96 tff(5413,plain,
% 0.80/0.96 ((~(i19 = i31)) <=> (~(i31 = sk(a_1449, a_1489)))),
% 0.80/0.96 inference(monotonicity,[status(thm)],[5412])).
% 0.80/0.96 tff(5414,plain,
% 0.80/0.96 ((~(i19 = i31)) <=> (~(i19 = i31))),
% 0.80/0.96 inference(rewrite,[status(thm)],[])).
% 0.80/0.96 tff(5415,axiom,(~(i19 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp302')).
% 0.80/0.96 tff(5416,plain,
% 0.80/0.96 (~(i19 = i31)),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 0.80/0.96 tff(5417,plain,
% 0.80/0.96 (~(i31 = sk(a_1449, a_1489))),
% 0.80/0.96 inference(modus_ponens,[status(thm)],[5416, 5413])).
% 0.80/0.96 tff(5418,plain,
% 0.80/0.96 (select(store(store(a_1438, i30, e30), i31, e31), sk(a_1449, a_1489)) = select(store(a_1438, i30, e30), sk(a_1449, a_1489))),
% 0.80/0.96 inference(unit_resolution,[status(thm)],[147, 33, 5417])).
% 0.80/0.97 tff(5419,plain,
% 0.80/0.97 ((i19 = i32) <=> (sk(a_1449, a_1489) = i32)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5420,plain,
% 0.80/0.97 ((i19 = i32) <=> (i32 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5419, 156])).
% 0.80/0.97 tff(5421,plain,
% 0.80/0.97 ((~(i19 = i32)) <=> (~(i32 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5420])).
% 0.80/0.97 tff(5422,plain,
% 0.80/0.97 ((~(i19 = i32)) <=> (~(i19 = i32))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5423,axiom,(~(i19 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp301')).
% 0.80/0.97 tff(5424,plain,
% 0.80/0.97 (~(i19 = i32)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 0.80/0.97 tff(5425,plain,
% 0.80/0.97 (~(i32 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5424, 5421])).
% 0.80/0.97 tff(5426,plain,
% 0.80/0.97 (select(store(store(a_1439, i31, e31), i32, e32), sk(a_1449, a_1489)) = select(store(a_1439, i31, e31), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[166, 33, 5425])).
% 0.80/0.97 tff(5427,plain,
% 0.80/0.97 ((i19 = i33) <=> (sk(a_1449, a_1489) = i33)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5428,plain,
% 0.80/0.97 ((i19 = i33) <=> (i33 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5427, 175])).
% 0.80/0.97 tff(5429,plain,
% 0.80/0.97 ((~(i19 = i33)) <=> (~(i33 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5428])).
% 0.80/0.97 tff(5430,plain,
% 0.80/0.97 ((~(i19 = i33)) <=> (~(i19 = i33))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5431,axiom,(~(i19 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp300')).
% 0.80/0.97 tff(5432,plain,
% 0.80/0.97 (~(i19 = i33)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 0.80/0.97 tff(5433,plain,
% 0.80/0.97 (~(i33 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5432, 5429])).
% 0.80/0.97 tff(5434,plain,
% 0.80/0.97 (select(store(store(a_1440, i32, e32), i33, e33), sk(a_1449, a_1489)) = select(store(a_1440, i32, e32), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[185, 33, 5433])).
% 0.80/0.97 tff(5435,plain,
% 0.80/0.97 ((i19 = i34) <=> (sk(a_1449, a_1489) = i34)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5436,plain,
% 0.80/0.97 ((i19 = i34) <=> (i34 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5435, 194])).
% 0.80/0.97 tff(5437,plain,
% 0.80/0.97 ((~(i19 = i34)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5436])).
% 0.80/0.97 tff(5438,plain,
% 0.80/0.97 ((~(i19 = i34)) <=> (~(i19 = i34))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5439,axiom,(~(i19 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp299')).
% 0.80/0.97 tff(5440,plain,
% 0.80/0.97 (~(i19 = i34)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 0.80/0.97 tff(5441,plain,
% 0.80/0.97 (~(i34 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5440, 5437])).
% 0.80/0.97 tff(5442,plain,
% 0.80/0.97 (select(store(store(a_1441, i33, e33), i34, e34), sk(a_1449, a_1489)) = select(store(a_1441, i33, e33), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[204, 33, 5441])).
% 0.80/0.97 tff(5443,plain,
% 0.80/0.97 ((i19 = i35) <=> (sk(a_1449, a_1489) = i35)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5444,plain,
% 0.80/0.97 ((i19 = i35) <=> (i35 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5443, 213])).
% 0.80/0.97 tff(5445,plain,
% 0.80/0.97 ((~(i19 = i35)) <=> (~(i35 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5444])).
% 0.80/0.97 tff(5446,plain,
% 0.80/0.97 ((~(i19 = i35)) <=> (~(i19 = i35))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5447,axiom,(~(i19 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp298')).
% 0.80/0.97 tff(5448,plain,
% 0.80/0.97 (~(i19 = i35)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5447, 5446])).
% 0.80/0.97 tff(5449,plain,
% 0.80/0.97 (~(i35 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5448, 5445])).
% 0.80/0.97 tff(5450,plain,
% 0.80/0.97 (select(store(store(a_1442, i34, e34), i35, e35), sk(a_1449, a_1489)) = select(store(a_1442, i34, e34), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[223, 33, 5449])).
% 0.80/0.97 tff(5451,plain,
% 0.80/0.97 ((i19 = i36) <=> (sk(a_1449, a_1489) = i36)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5452,plain,
% 0.80/0.97 ((i19 = i36) <=> (i36 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5451, 232])).
% 0.80/0.97 tff(5453,plain,
% 0.80/0.97 ((~(i19 = i36)) <=> (~(i36 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5452])).
% 0.80/0.97 tff(5454,plain,
% 0.80/0.97 ((~(i19 = i36)) <=> (~(i19 = i36))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5455,axiom,(~(i19 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp297')).
% 0.80/0.97 tff(5456,plain,
% 0.80/0.97 (~(i19 = i36)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 0.80/0.97 tff(5457,plain,
% 0.80/0.97 (~(i36 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5456, 5453])).
% 0.80/0.97 tff(5458,plain,
% 0.80/0.97 (select(store(store(a_1443, i35, e35), i36, e36), sk(a_1449, a_1489)) = select(store(a_1443, i35, e35), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[242, 33, 5457])).
% 0.80/0.97 tff(5459,plain,
% 0.80/0.97 ((i19 = i37) <=> (sk(a_1449, a_1489) = i37)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5460,plain,
% 0.80/0.97 ((i19 = i37) <=> (i37 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5459, 251])).
% 0.80/0.97 tff(5461,plain,
% 0.80/0.97 ((~(i19 = i37)) <=> (~(i37 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5460])).
% 0.80/0.97 tff(5462,plain,
% 0.80/0.97 ((~(i19 = i37)) <=> (~(i19 = i37))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5463,axiom,(~(i19 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp296')).
% 0.80/0.97 tff(5464,plain,
% 0.80/0.97 (~(i19 = i37)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5463, 5462])).
% 0.80/0.97 tff(5465,plain,
% 0.80/0.97 (~(i37 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5464, 5461])).
% 0.80/0.97 tff(5466,plain,
% 0.80/0.97 (select(store(store(a_1444, i36, e36), i37, e37), sk(a_1449, a_1489)) = select(store(a_1444, i36, e36), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[261, 33, 5465])).
% 0.80/0.97 tff(5467,plain,
% 0.80/0.97 ((i19 = i38) <=> (sk(a_1449, a_1489) = i38)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5468,plain,
% 0.80/0.97 ((i19 = i38) <=> (i38 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5467, 270])).
% 0.80/0.97 tff(5469,plain,
% 0.80/0.97 ((~(i19 = i38)) <=> (~(i38 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5468])).
% 0.80/0.97 tff(5470,plain,
% 0.80/0.97 ((~(i19 = i38)) <=> (~(i19 = i38))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5471,axiom,(~(i19 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp295')).
% 0.80/0.97 tff(5472,plain,
% 0.80/0.97 (~(i19 = i38)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 0.80/0.97 tff(5473,plain,
% 0.80/0.97 (~(i38 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5472, 5469])).
% 0.80/0.97 tff(5474,plain,
% 0.80/0.97 (select(store(store(a_1445, i37, e37), i38, e38), sk(a_1449, a_1489)) = select(store(a_1445, i37, e37), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[280, 33, 5473])).
% 0.80/0.97 tff(5475,plain,
% 0.80/0.97 ((i19 = i39) <=> (sk(a_1449, a_1489) = i39)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5309])).
% 0.80/0.97 tff(5476,plain,
% 0.80/0.97 ((i19 = i39) <=> (i39 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(transitivity,[status(thm)],[5475, 289])).
% 0.80/0.97 tff(5477,plain,
% 0.80/0.97 ((~(i19 = i39)) <=> (~(i39 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5476])).
% 0.80/0.97 tff(5478,plain,
% 0.80/0.97 ((~(i19 = i39)) <=> (~(i19 = i39))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5479,axiom,(~(i19 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp294')).
% 0.80/0.97 tff(5480,plain,
% 0.80/0.97 (~(i19 = i39)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 0.80/0.97 tff(5481,plain,
% 0.80/0.97 (~(i39 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5480, 5477])).
% 0.80/0.97 tff(5482,plain,
% 0.80/0.97 (select(store(store(a_1446, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1446, i38, e38), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[300, 5481])).
% 0.80/0.97 tff(5483,plain,
% 0.80/0.97 (e_1491 = e_1492),
% 0.80/0.97 inference(transitivity,[status(thm)],[4, 310, 55, 308, 5482, 288, 5474, 269, 5466, 250, 5458, 231, 5450, 212, 5442, 193, 5434, 174, 5426, 155, 5418, 136, 5410, 117, 5402, 2764, 5393, 2763, 5384, 2762, 5376, 2760, 5368, 2751, 5360, 2740, 5352, 2729, 5344, 2718, 5336, 2707, 5328, 2696, 5320, 5318, 5316, 5313, 13])).
% 0.80/0.97 tff(5484,plain,
% 0.80/0.97 ($false),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[314, 5483])).
% 0.80/0.97 tff(5485,plain,(i40 = sk(a_1449, a_1489)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.97 tff(5486,plain,
% 0.80/0.97 (i40 = i_1490),
% 0.80/0.97 inference(transitivity,[status(thm)],[5485, 9])).
% 0.80/0.97 tff(5487,plain,
% 0.80/0.97 (select(store(store(a_1447, i39, e39), i40, e40), i40) = select(a_1449, i_1490)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[49, 5486])).
% 0.80/0.97 tff(5488,plain,
% 0.80/0.97 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1447, i39, e39), i40, e40), i40) = e40)),
% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(5489,plain,
% 0.80/0.97 (select(store(store(a_1447, i39, e39), i40, e40), i40) = e40),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[5488, 97])).
% 0.80/0.97 tff(5490,plain,
% 0.80/0.97 (e40 = select(store(store(a_1447, i39, e39), i40, e40), i40)),
% 0.80/0.97 inference(symmetry,[status(thm)],[5489])).
% 0.80/0.97 tff(5491,plain,
% 0.80/0.97 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1474, i2, e2), i40, e40), i40) = e40)),
% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(5492,plain,
% 0.80/0.97 (select(store(store(a_1474, i2, e2), i40, e40), i40) = e40),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[5491, 97])).
% 0.80/0.97 tff(5493,plain,
% 0.80/0.97 (sk(a_1449, a_1489) = i40),
% 0.80/0.97 inference(symmetry,[status(thm)],[5485])).
% 0.80/0.97 tff(5494,plain,
% 0.80/0.97 (select(store(store(a_1474, i2, e2), i40, e40), sk(a_1449, a_1489)) = select(store(store(a_1474, i2, e2), i40, e40), i40)),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5493])).
% 0.80/0.97 tff(5495,plain,
% 0.80/0.97 (select(store(a_1475, i40, e40), sk(a_1449, a_1489)) = e_1491),
% 0.80/0.97 inference(transitivity,[status(thm)],[2556, 5494, 5492, 5490, 5487, 5])).
% 0.80/0.97 tff(5496,plain,
% 0.80/0.97 ((i19 = i40) <=> (i19 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5497,plain,
% 0.80/0.97 ((~(i19 = i40)) <=> (~(i19 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5496])).
% 0.80/0.97 tff(5498,plain,
% 0.80/0.97 ((~(i19 = i40)) <=> (~(i19 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5499,axiom,(~(i19 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp293')).
% 0.80/0.97 tff(5500,plain,
% 0.80/0.97 (~(i19 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 0.80/0.97 tff(5501,plain,
% 0.80/0.97 (~(i19 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5500, 5497])).
% 0.80/0.97 tff(5502,plain,
% 0.80/0.97 (select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489)) = select(store(a_1487, i29, e29), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[37, 5501])).
% 0.80/0.97 tff(5503,plain,
% 0.80/0.97 (select(store(a_1487, i29, e29), sk(a_1449, a_1489)) = select(store(store(a_1487, i29, e29), i19, e19), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5502])).
% 0.80/0.97 tff(5504,plain,
% 0.80/0.97 ((i29 = i40) <=> (i29 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5505,plain,
% 0.80/0.97 ((~(i29 = i40)) <=> (~(i29 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5504])).
% 0.80/0.97 tff(5506,plain,
% 0.80/0.97 ((~(i29 = i40)) <=> (~(i29 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5507,axiom,(~(i29 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp138')).
% 0.80/0.97 tff(5508,plain,
% 0.80/0.97 (~(i29 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 0.80/0.97 tff(5509,plain,
% 0.80/0.97 (~(i29 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5508, 5505])).
% 0.80/0.97 tff(5510,plain,
% 0.80/0.97 (select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489)) = select(store(a_1486, i28, e28), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[67, 33, 5509])).
% 0.80/0.97 tff(5511,plain,
% 0.80/0.97 (select(store(a_1486, i28, e28), sk(a_1449, a_1489)) = select(store(store(a_1486, i28, e28), i29, e29), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5510])).
% 0.80/0.97 tff(5512,plain,
% 0.80/0.97 ((i28 = i40) <=> (i28 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5513,plain,
% 0.80/0.97 ((~(i28 = i40)) <=> (~(i28 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5512])).
% 0.80/0.97 tff(5514,plain,
% 0.80/0.97 ((~(i28 = i40)) <=> (~(i28 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5515,axiom,(~(i28 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp149')).
% 0.80/0.97 tff(5516,plain,
% 0.80/0.97 (~(i28 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 0.80/0.97 tff(5517,plain,
% 0.80/0.97 (~(i28 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5516, 5513])).
% 0.80/0.97 tff(5518,plain,
% 0.80/0.97 (select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489)) = select(store(a_1485, i34, e34), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[324, 33, 5517])).
% 0.80/0.97 tff(5519,plain,
% 0.80/0.97 (select(store(a_1485, i34, e34), sk(a_1449, a_1489)) = select(store(store(a_1485, i34, e34), i28, e28), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5518])).
% 0.80/0.97 tff(5520,plain,
% 0.80/0.97 ((i34 = i40) <=> (i34 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5521,plain,
% 0.80/0.97 ((~(i34 = i40)) <=> (~(i34 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5520])).
% 0.80/0.97 tff(5522,plain,
% 0.80/0.97 ((~(i34 = i40)) <=> (~(i34 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5523,axiom,(~(i34 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp98')).
% 0.80/0.97 tff(5524,plain,
% 0.80/0.97 (~(i34 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 0.80/0.97 tff(5525,plain,
% 0.80/0.97 (~(i34 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5524, 5521])).
% 0.80/0.97 tff(5526,plain,
% 0.80/0.97 (select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489)) = select(store(a_1484, i15, e15), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[349, 33, 5525])).
% 0.80/0.97 tff(5527,plain,
% 0.80/0.97 (select(store(a_1484, i15, e15), sk(a_1449, a_1489)) = select(store(store(a_1484, i15, e15), i34, e34), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5526])).
% 0.80/0.97 tff(5528,plain,
% 0.80/0.97 ((i15 = i40) <=> (i15 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5529,plain,
% 0.80/0.97 ((~(i15 = i40)) <=> (~(i15 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5528])).
% 0.80/0.97 tff(5530,plain,
% 0.80/0.97 ((~(i15 = i40)) <=> (~(i15 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5531,axiom,(~(i15 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp383')).
% 0.80/0.97 tff(5532,plain,
% 0.80/0.97 (~(i15 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 0.80/0.97 tff(5533,plain,
% 0.80/0.97 (~(i15 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5532, 5529])).
% 0.80/0.97 tff(5534,plain,
% 0.80/0.97 (select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489)) = select(store(a_1483, i30, e30), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[369, 33, 5533])).
% 0.80/0.97 tff(5535,plain,
% 0.80/0.97 (select(store(a_1483, i30, e30), sk(a_1449, a_1489)) = select(store(store(a_1483, i30, e30), i15, e15), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5534])).
% 0.80/0.97 tff(5536,plain,
% 0.80/0.97 ((i30 = i40) <=> (i30 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5537,plain,
% 0.80/0.97 ((~(i30 = i40)) <=> (~(i30 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5536])).
% 0.80/0.97 tff(5538,plain,
% 0.80/0.97 ((~(i30 = i40)) <=> (~(i30 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5539,axiom,(~(i30 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp128')).
% 0.80/0.97 tff(5540,plain,
% 0.80/0.97 (~(i30 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 0.80/0.97 tff(5541,plain,
% 0.80/0.97 (~(i30 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5540, 5537])).
% 0.80/0.97 tff(5542,plain,
% 0.80/0.97 (select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489)) = select(store(a_1482, i4, e4), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[388, 33, 5541])).
% 0.80/0.97 tff(5543,plain,
% 0.80/0.97 (select(store(a_1482, i4, e4), sk(a_1449, a_1489)) = select(store(store(a_1482, i4, e4), i30, e30), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5542])).
% 0.80/0.97 tff(5544,plain,
% 0.80/0.97 ((i4 = i40) <=> (i4 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5545,plain,
% 0.80/0.97 ((~(i4 = i40)) <=> (~(i4 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5544])).
% 0.80/0.97 tff(5546,plain,
% 0.80/0.97 ((~(i4 = i40)) <=> (~(i4 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5547,axiom,(~(i4 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp713')).
% 0.80/0.97 tff(5548,plain,
% 0.80/0.97 (~(i4 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 0.80/0.97 tff(5549,plain,
% 0.80/0.97 (~(i4 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5548, 5545])).
% 0.80/0.97 tff(5550,plain,
% 0.80/0.97 (select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489)) = select(store(a_1481, i5, e5), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[407, 33, 5549])).
% 0.80/0.97 tff(5551,plain,
% 0.80/0.97 (select(store(a_1481, i5, e5), sk(a_1449, a_1489)) = select(store(store(a_1481, i5, e5), i4, e4), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5550])).
% 0.80/0.97 tff(5552,plain,
% 0.80/0.97 ((i5 = i40) <=> (i5 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5553,plain,
% 0.80/0.97 ((~(i5 = i40)) <=> (~(i5 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5552])).
% 0.80/0.97 tff(5554,plain,
% 0.80/0.97 ((~(i5 = i40)) <=> (~(i5 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5555,axiom,(~(i5 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp678')).
% 0.80/0.97 tff(5556,plain,
% 0.80/0.97 (~(i5 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5555, 5554])).
% 0.80/0.97 tff(5557,plain,
% 0.80/0.97 (~(i5 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5556, 5553])).
% 0.80/0.97 tff(5558,plain,
% 0.80/0.97 (select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489)) = select(store(a_1480, i3, e3), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[426, 33, 5557])).
% 0.80/0.97 tff(5559,plain,
% 0.80/0.97 (select(store(a_1480, i3, e3), sk(a_1449, a_1489)) = select(store(store(a_1480, i3, e3), i5, e5), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5558])).
% 0.80/0.97 tff(5560,plain,
% 0.80/0.97 ((i3 = i40) <=> (i3 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5561,plain,
% 0.80/0.97 ((~(i3 = i40)) <=> (~(i3 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5560])).
% 0.80/0.97 tff(5562,plain,
% 0.80/0.97 ((~(i3 = i40)) <=> (~(i3 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5563,axiom,(~(i3 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp749')).
% 0.80/0.97 tff(5564,plain,
% 0.80/0.97 (~(i3 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 0.80/0.97 tff(5565,plain,
% 0.80/0.97 (~(i3 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5564, 5561])).
% 0.80/0.97 tff(5566,plain,
% 0.80/0.97 (select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489)) = select(store(a_1479, i9, e9), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[445, 33, 5565])).
% 0.80/0.97 tff(5567,plain,
% 0.80/0.97 (select(store(a_1479, i9, e9), sk(a_1449, a_1489)) = select(store(store(a_1479, i9, e9), i3, e3), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5566])).
% 0.80/0.97 tff(5568,plain,
% 0.80/0.97 ((i9 = i40) <=> (i9 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5569,plain,
% 0.80/0.97 ((~(i9 = i40)) <=> (~(i9 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5568])).
% 0.80/0.97 tff(5570,plain,
% 0.80/0.97 ((~(i9 = i40)) <=> (~(i9 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5571,axiom,(~(i9 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp548')).
% 0.80/0.97 tff(5572,plain,
% 0.80/0.97 (~(i9 = i40)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 0.80/0.97 tff(5573,plain,
% 0.80/0.97 (~(i9 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[5572, 5569])).
% 0.80/0.97 tff(5574,plain,
% 0.80/0.97 (select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489)) = select(store(a_1478, i1, e1), sk(a_1449, a_1489))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[464, 33, 5573])).
% 0.80/0.97 tff(5575,plain,
% 0.80/0.97 (select(store(a_1478, i1, e1), sk(a_1449, a_1489)) = select(store(store(a_1478, i1, e1), i9, e9), sk(a_1449, a_1489))),
% 0.80/0.97 inference(symmetry,[status(thm)],[5574])).
% 0.80/0.97 tff(5576,plain,
% 0.80/0.97 ((i1 = i40) <=> (i1 = sk(a_1449, a_1489))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.97 tff(5577,plain,
% 0.80/0.97 ((~(i1 = i40)) <=> (~(i1 = sk(a_1449, a_1489)))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[5576])).
% 0.80/0.97 tff(5578,plain,
% 0.80/0.97 ((~(i1 = i40)) <=> (~(i1 = i40))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(5579,axiom,(~(i1 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp824')).
% 0.80/0.98 tff(5580,plain,
% 0.80/0.98 (~(i1 = i40)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 0.80/0.98 tff(5581,plain,
% 0.80/0.98 (~(i1 = sk(a_1449, a_1489))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5580, 5577])).
% 0.80/0.98 tff(5582,plain,
% 0.80/0.98 (select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489)) = select(store(a_1477, i39, e39), sk(a_1449, a_1489))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[483, 33, 5581])).
% 0.80/0.98 tff(5583,plain,
% 0.80/0.98 (select(store(a_1477, i39, e39), sk(a_1449, a_1489)) = select(store(store(a_1477, i39, e39), i1, e1), sk(a_1449, a_1489))),
% 0.80/0.98 inference(symmetry,[status(thm)],[5582])).
% 0.80/0.98 tff(5584,plain,
% 0.80/0.98 ((i39 = i40) <=> (i39 = sk(a_1449, a_1489))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.98 tff(5585,plain,
% 0.80/0.98 ((~(i39 = i40)) <=> (~(i39 = sk(a_1449, a_1489)))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5584])).
% 0.80/0.98 tff(5586,plain,
% 0.80/0.98 ((~(i39 = i40)) <=> (~(i39 = i40))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(5587,axiom,(~(i39 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp83')).
% 0.80/0.98 tff(5588,plain,
% 0.80/0.98 (~(i39 = i40)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 0.80/0.98 tff(5589,plain,
% 0.80/0.98 (~(i39 = sk(a_1449, a_1489))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5588, 5585])).
% 0.80/0.98 tff(5590,plain,
% 0.80/0.98 (select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489)) = select(store(a_1476, i38, e38), sk(a_1449, a_1489))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[495, 33, 5589])).
% 0.80/0.98 tff(5591,plain,
% 0.80/0.98 (select(store(a_1476, i38, e38), sk(a_1449, a_1489)) = select(store(store(a_1476, i38, e38), i39, e39), sk(a_1449, a_1489))),
% 0.80/0.98 inference(symmetry,[status(thm)],[5590])).
% 0.80/0.98 tff(5592,plain,
% 0.80/0.98 (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = e_1492),
% 0.80/0.98 inference(transitivity,[status(thm)],[1035, 5591, 492, 5583, 473, 5575, 454, 5567, 435, 5559, 416, 5551, 397, 5543, 378, 5535, 358, 5527, 339, 5519, 331, 5511, 330, 5503, 329, 13])).
% 0.80/0.98 tff(5593,plain,
% 0.80/0.98 ((select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))) <=> (e_1492 = e_1491)),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5592, 5495])).
% 0.80/0.98 tff(5594,plain,
% 0.80/0.98 ((select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))) <=> (e_1491 = e_1492)),
% 0.80/0.98 inference(transitivity,[status(thm)],[5593, 1])).
% 0.80/0.98 tff(5595,plain,
% 0.80/0.98 ((e_1491 = e_1492) <=> (select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))),
% 0.80/0.98 inference(symmetry,[status(thm)],[5594])).
% 0.80/0.98 tff(5596,plain,
% 0.80/0.98 ((~(e_1491 = e_1492)) <=> (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489))))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5595])).
% 0.80/0.98 tff(5597,plain,
% 0.80/0.98 (~(select(store(store(a_1475, i40, e40), i38, e38), sk(a_1449, a_1489)) = select(store(a_1475, i40, e40), sk(a_1449, a_1489)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[314, 5596])).
% 0.80/0.98 tff(5598,plain,
% 0.80/0.98 ((i38 = i40) <=> (i38 = sk(a_1449, a_1489))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5485])).
% 0.80/0.98 tff(5599,plain,
% 0.80/0.98 ((~(i38 = i40)) <=> (~(i38 = sk(a_1449, a_1489)))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[5598])).
% 0.80/0.98 tff(5600,plain,
% 0.80/0.98 ((~(i38 = i40)) <=> (~(i38 = i40))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(5601,axiom,(~(i38 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp84')).
% 0.80/0.98 tff(5602,plain,
% 0.80/0.98 (~(i38 = i40)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 0.80/0.98 tff(5603,plain,
% 0.80/0.98 (~(i38 = sk(a_1449, a_1489))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[5602, 5599])).
% 0.80/0.98 tff(5604,plain,
% 0.80/0.98 ($false),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[1038, 33, 5603, 5597])).
% 0.80/0.98 % SZS output end Proof
% 0.80/0.98 % E exiting
%------------------------------------------------------------------------------