%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV505-1.030 : 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 0.43s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV505-1.030 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 20 09:57:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(select_type, type, (
% 0.20/0.43 select: ( $i * $i ) > $i)).
% 0.20/0.43 tff(sk_type, type, (
% 0.20/0.43 sk: ( $i * $i ) > $i)).
% 0.20/0.43 tff(a_1128_type, type, (
% 0.20/0.43 a_1128: $i)).
% 0.20/0.43 tff(a_1098_type, type, (
% 0.20/0.43 a_1098: $i)).
% 0.20/0.43 tff(store_type, type, (
% 0.20/0.43 store: ( $i * $i * $i ) > $i)).
% 0.20/0.43 tff(e30_type, type, (
% 0.20/0.43 e30: $i)).
% 0.20/0.43 tff(i30_type, type, (
% 0.20/0.43 i30: $i)).
% 0.20/0.43 tff(a_1103_type, type, (
% 0.20/0.43 a_1103: $i)).
% 0.20/0.43 tff(e2_type, type, (
% 0.20/0.43 e2: $i)).
% 0.20/0.43 tff(i2_type, type, (
% 0.20/0.43 i2: $i)).
% 0.20/0.43 tff(e_1131_type, type, (
% 0.20/0.43 e_1131: $i)).
% 0.20/0.43 tff(e_1130_type, type, (
% 0.20/0.43 e_1130: $i)).
% 0.20/0.43 tff(i_1129_type, type, (
% 0.20/0.43 i_1129: $i)).
% 0.20/0.43 tff(e29_type, type, (
% 0.20/0.43 e29: $i)).
% 0.20/0.43 tff(i29_type, type, (
% 0.20/0.43 i29: $i)).
% 0.20/0.43 tff(a_1096_type, type, (
% 0.20/0.43 a_1096: $i)).
% 0.20/0.43 tff(i24_type, type, (
% 0.20/0.43 i24: $i)).
% 0.20/0.43 tff(i7_type, type, (
% 0.20/0.43 i7: $i)).
% 0.20/0.43 tff(e17_type, type, (
% 0.20/0.43 e17: $i)).
% 0.20/0.43 tff(i17_type, type, (
% 0.20/0.43 i17: $i)).
% 0.20/0.43 tff(a_1084_type, type, (
% 0.20/0.43 a_1084: $i)).
% 0.20/0.43 tff(e18_type, type, (
% 0.20/0.43 e18: $i)).
% 0.20/0.43 tff(i18_type, type, (
% 0.20/0.43 i18: $i)).
% 0.20/0.43 tff(e10_type, type, (
% 0.20/0.43 e10: $i)).
% 0.20/0.43 tff(i10_type, type, (
% 0.20/0.43 i10: $i)).
% 0.20/0.43 tff(e7_type, type, (
% 0.20/0.43 e7: $i)).
% 0.20/0.43 tff(a_1126_type, type, (
% 0.20/0.43 a_1126: $i)).
% 0.20/0.43 tff(a_1127_type, type, (
% 0.20/0.43 a_1127: $i)).
% 0.20/0.43 tff(a_1077_type, type, (
% 0.20/0.43 a_1077: $i)).
% 0.20/0.43 tff(e11_type, type, (
% 0.20/0.43 e11: $i)).
% 0.20/0.43 tff(i11_type, type, (
% 0.20/0.43 i11: $i)).
% 0.20/0.43 tff(e9_type, type, (
% 0.20/0.43 e9: $i)).
% 0.20/0.43 tff(i9_type, type, (
% 0.20/0.43 i9: $i)).
% 0.20/0.43 tff(a_1076_type, type, (
% 0.20/0.43 a_1076: $i)).
% 0.20/0.43 tff(a_1097_type, type, (
% 0.20/0.43 a_1097: $i)).
% 0.20/0.43 tff(e28_type, type, (
% 0.20/0.43 e28: $i)).
% 0.20/0.43 tff(i28_type, type, (
% 0.20/0.43 i28: $i)).
% 0.20/0.43 tff(a_1095_type, type, (
% 0.20/0.43 a_1095: $i)).
% 0.20/0.43 tff(e27_type, type, (
% 0.20/0.43 e27: $i)).
% 0.20/0.43 tff(i27_type, type, (
% 0.20/0.43 i27: $i)).
% 0.20/0.43 tff(a_1094_type, type, (
% 0.20/0.43 a_1094: $i)).
% 0.20/0.43 tff(e26_type, type, (
% 0.20/0.43 e26: $i)).
% 0.20/0.43 tff(i26_type, type, (
% 0.20/0.43 i26: $i)).
% 0.20/0.43 tff(a_1093_type, type, (
% 0.20/0.43 a_1093: $i)).
% 0.20/0.43 tff(e25_type, type, (
% 0.20/0.43 e25: $i)).
% 0.20/0.43 tff(i25_type, type, (
% 0.20/0.43 i25: $i)).
% 0.20/0.43 tff(a_1092_type, type, (
% 0.20/0.43 a_1092: $i)).
% 0.20/0.43 tff(e24_type, type, (
% 0.20/0.43 e24: $i)).
% 0.20/0.43 tff(a_1091_type, type, (
% 0.20/0.43 a_1091: $i)).
% 0.20/0.43 tff(e23_type, type, (
% 0.20/0.43 e23: $i)).
% 0.20/0.43 tff(i23_type, type, (
% 0.20/0.43 i23: $i)).
% 0.20/0.43 tff(a_1090_type, type, (
% 0.20/0.43 a_1090: $i)).
% 0.20/0.43 tff(e22_type, type, (
% 0.20/0.43 e22: $i)).
% 0.20/0.43 tff(i22_type, type, (
% 0.20/0.43 i22: $i)).
% 0.20/0.43 tff(a_1089_type, type, (
% 0.20/0.43 a_1089: $i)).
% 0.20/0.43 tff(e21_type, type, (
% 0.20/0.43 e21: $i)).
% 0.20/0.43 tff(i21_type, type, (
% 0.20/0.43 i21: $i)).
% 0.20/0.43 tff(a_1088_type, type, (
% 0.20/0.43 a_1088: $i)).
% 0.20/0.43 tff(e20_type, type, (
% 0.20/0.43 e20: $i)).
% 0.20/0.43 tff(i20_type, type, (
% 0.20/0.43 i20: $i)).
% 0.20/0.43 tff(a_1087_type, type, (
% 0.20/0.43 a_1087: $i)).
% 0.20/0.43 tff(e19_type, type, (
% 0.20/0.43 e19: $i)).
% 0.20/0.43 tff(i19_type, type, (
% 0.20/0.43 i19: $i)).
% 0.20/0.43 tff(a_1086_type, type, (
% 0.20/0.43 a_1086: $i)).
% 0.20/0.43 tff(a_1085_type, type, (
% 0.20/0.43 a_1085: $i)).
% 0.20/0.43 tff(e16_type, type, (
% 0.20/0.43 e16: $i)).
% 0.20/0.43 tff(i16_type, type, (
% 0.20/0.43 i16: $i)).
% 0.20/0.43 tff(a_1083_type, type, (
% 0.20/0.43 a_1083: $i)).
% 0.20/0.43 tff(e15_type, type, (
% 0.20/0.43 e15: $i)).
% 0.20/0.43 tff(i15_type, type, (
% 0.20/0.43 i15: $i)).
% 0.20/0.43 tff(a_1082_type, type, (
% 0.20/0.43 a_1082: $i)).
% 0.20/0.43 tff(e14_type, type, (
% 0.20/0.43 e14: $i)).
% 0.20/0.43 tff(i14_type, type, (
% 0.20/0.43 i14: $i)).
% 0.20/0.43 tff(a_1081_type, type, (
% 0.20/0.43 a_1081: $i)).
% 0.20/0.43 tff(e13_type, type, (
% 0.20/0.43 e13: $i)).
% 0.20/0.43 tff(i13_type, type, (
% 0.20/0.43 i13: $i)).
% 0.20/0.43 tff(a_1080_type, type, (
% 0.20/0.43 a_1080: $i)).
% 0.20/0.43 tff(e12_type, type, (
% 0.20/0.43 e12: $i)).
% 0.20/0.43 tff(i12_type, type, (
% 0.20/0.43 i12: $i)).
% 0.20/0.43 tff(a_1079_type, type, (
% 0.20/0.43 a_1079: $i)).
% 0.20/0.43 tff(a_1078_type, type, (
% 0.20/0.43 a_1078: $i)).
% 0.20/0.43 tff(a_1125_type, type, (
% 0.20/0.43 a_1125: $i)).
% 0.20/0.43 tff(i5_type, type, (
% 0.20/0.43 i5: $i)).
% 0.20/0.43 tff(a_1114_type, type, (
% 0.20/0.43 a_1114: $i)).
% 0.20/0.43 tff(e5_type, type, (
% 0.20/0.43 e5: $i)).
% 0.20/0.43 tff(a_1113_type, type, (
% 0.20/0.43 a_1113: $i)).
% 0.20/0.43 tff(a_1124_type, type, (
% 0.20/0.43 a_1124: $i)).
% 0.20/0.43 tff(a_1123_type, type, (
% 0.20/0.43 a_1123: $i)).
% 0.20/0.43 tff(a_1122_type, type, (
% 0.20/0.43 a_1122: $i)).
% 0.20/0.43 tff(a_1121_type, type, (
% 0.20/0.43 a_1121: $i)).
% 0.20/0.43 tff(a_1120_type, type, (
% 0.20/0.43 a_1120: $i)).
% 0.20/0.43 tff(e3_type, type, (
% 0.20/0.43 e3: $i)).
% 0.20/0.43 tff(i3_type, type, (
% 0.20/0.43 i3: $i)).
% 0.20/0.43 tff(a_1119_type, type, (
% 0.20/0.43 a_1119: $i)).
% 0.20/0.43 tff(a_1118_type, type, (
% 0.20/0.43 a_1118: $i)).
% 0.20/0.43 tff(a_1117_type, type, (
% 0.20/0.43 a_1117: $i)).
% 0.20/0.43 tff(a_1116_type, type, (
% 0.20/0.43 a_1116: $i)).
% 0.20/0.43 tff(a_1115_type, type, (
% 0.20/0.43 a_1115: $i)).
% 0.20/0.43 tff(a_1074_type, type, (
% 0.20/0.43 a_1074: $i)).
% 0.20/0.43 tff(e8_type, type, (
% 0.20/0.43 e8: $i)).
% 0.20/0.43 tff(i8_type, type, (
% 0.20/0.43 i8: $i)).
% 0.20/0.43 tff(e6_type, type, (
% 0.20/0.43 e6: $i)).
% 0.20/0.43 tff(i6_type, type, (
% 0.20/0.43 i6: $i)).
% 0.20/0.43 tff(a_1073_type, type, (
% 0.20/0.43 a_1073: $i)).
% 0.20/0.43 tff(a_1106_type, type, (
% 0.20/0.44 a_1106: $i)).
% 0.20/0.44 tff(a_1105_type, type, (
% 0.20/0.44 a_1105: $i)).
% 0.20/0.44 tff(a_1112_type, type, (
% 0.20/0.44 a_1112: $i)).
% 0.20/0.44 tff(a_1111_type, type, (
% 0.20/0.44 a_1111: $i)).
% 0.20/0.44 tff(a_1110_type, type, (
% 0.20/0.44 a_1110: $i)).
% 0.20/0.44 tff(a_1109_type, type, (
% 0.20/0.44 a_1109: $i)).
% 0.20/0.44 tff(a_1108_type, type, (
% 0.20/0.44 a_1108: $i)).
% 0.20/0.44 tff(a_1107_type, type, (
% 0.20/0.44 a_1107: $i)).
% 0.20/0.44 tff(a_1075_type, type, (
% 0.20/0.44 a_1075: $i)).
% 0.20/0.44 tff(i4_type, type, (
% 0.20/0.44 i4: $i)).
% 0.20/0.44 tff(a_1070_type, type, (
% 0.20/0.44 a_1070: $i)).
% 0.20/0.44 tff(e4_type, type, (
% 0.20/0.44 e4: $i)).
% 0.20/0.44 tff(a_1069_type, type, (
% 0.20/0.44 a_1069: $i)).
% 0.20/0.44 tff(a_1072_type, type, (
% 0.20/0.44 a_1072: $i)).
% 0.20/0.44 tff(a_1071_type, type, (
% 0.20/0.44 a_1071: $i)).
% 0.20/0.44 tff(a_1102_type, type, (
% 0.20/0.44 a_1102: $i)).
% 0.20/0.44 tff(a_1104_type, type, (
% 0.20/0.44 a_1104: $i)).
% 0.20/0.44 tff(a1_type, type, (
% 0.20/0.44 a1: $i)).
% 0.20/0.44 tff(e1_type, type, (
% 0.20/0.44 e1: $i)).
% 0.20/0.44 tff(i1_type, type, (
% 0.20/0.44 i1: $i)).
% 0.20/0.44 tff(a_1099_type, type, (
% 0.20/0.44 a_1099: $i)).
% 0.20/0.44 tff(a_1100_type, type, (
% 0.20/0.44 a_1100: $i)).
% 0.20/0.44 tff(a_1101_type, type, (
% 0.20/0.44 a_1101: $i)).
% 0.20/0.44 tff(1,plain,
% 0.20/0.44 ((e_1131 = e_1130) <=> (e_1130 = e_1131)),
% 0.20/0.44 inference(commutativity,[status(thm)],[])).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 ((e_1130 = select(a_1098, i_1129)) <=> (e_1130 = select(a_1098, i_1129))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(3,axiom,(e_1130 = select(a_1098, i_1129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp60')).
% 0.20/0.44 tff(4,plain,
% 0.20/0.44 (e_1130 = select(a_1098, i_1129)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (select(a_1098, i_1129) = e_1130),
% 0.20/0.44 inference(symmetry,[status(thm)],[4])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 ((i_1129 = sk(a_1098, a_1128)) <=> (i_1129 = sk(a_1098, a_1128))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(7,axiom,(i_1129 = sk(a_1098, a_1128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp62')).
% 0.20/0.44 tff(8,plain,
% 0.20/0.44 (i_1129 = sk(a_1098, a_1128)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.44 tff(9,plain,
% 0.20/0.44 (sk(a_1098, a_1128) = i_1129),
% 0.20/0.44 inference(symmetry,[status(thm)],[8])).
% 0.20/0.44 tff(10,assumption,(~(i30 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.44 tff(11,plain,
% 0.20/0.44 ((e_1131 = select(a_1128, i_1129)) <=> (e_1131 = select(a_1128, i_1129))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(12,axiom,(e_1131 = select(a_1128, i_1129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp61')).
% 0.20/0.44 tff(13,plain,
% 0.20/0.44 (e_1131 = select(a_1128, i_1129)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.20/0.44 tff(14,plain,
% 0.20/0.44 (select(a_1128, i_1129) = e_1131),
% 0.20/0.44 inference(symmetry,[status(thm)],[13])).
% 0.20/0.44 tff(15,plain,
% 0.20/0.44 ((a_1128 = store(a_1127, i10, e10)) <=> (a_1128 = store(a_1127, i10, e10))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(16,axiom,(a_1128 = store(a_1127, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp59')).
% 0.20/0.44 tff(17,plain,
% 0.20/0.44 (a_1128 = store(a_1127, i10, e10)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.44 tff(18,plain,
% 0.20/0.44 (store(a_1127, i10, e10) = a_1128),
% 0.20/0.44 inference(symmetry,[status(thm)],[17])).
% 0.20/0.44 tff(19,plain,
% 0.20/0.44 ((a_1127 = store(a_1126, i7, e7)) <=> (a_1127 = store(a_1126, i7, e7))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(20,axiom,(a_1127 = store(a_1126, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp58')).
% 0.20/0.44 tff(21,plain,
% 0.20/0.44 (a_1127 = store(a_1126, i7, e7)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.44 tff(22,plain,
% 0.20/0.44 (store(a_1126, i7, e7) = a_1127),
% 0.20/0.44 inference(symmetry,[status(thm)],[21])).
% 0.20/0.44 tff(23,plain,
% 0.20/0.44 (store(store(a_1126, i7, e7), i10, e10) = store(a_1127, i10, e10)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[22])).
% 0.20/0.44 tff(24,plain,
% 0.20/0.44 (store(store(a_1126, i7, e7), i10, e10) = a_1128),
% 0.20/0.44 inference(transitivity,[status(thm)],[23, 18])).
% 0.20/0.44 tff(25,plain,
% 0.20/0.44 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(a_1128, i_1129)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[24, 9])).
% 0.20/0.44 tff(26,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(27,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(28,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')).
% 0.20/0.44 tff(29,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.20/0.44 tff(30,plain,(
% 0.20/0.44 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[29])).
% 0.20/0.44 tff(31,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.20/0.44 tff(32,plain,
% 0.20/0.44 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1098, a_1128)) | (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1098, a_1128)) | (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(33,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1098, a_1128)) | (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(34,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1098, a_1128)) | (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.20/0.44 tff(35,plain,
% 0.20/0.44 ((i30 = sk(a_1098, a_1128)) | (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[34, 31])).
% 0.20/0.44 tff(36,plain,
% 0.20/0.44 (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[35, 10])).
% 0.20/0.44 tff(37,assumption,(i10 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.44 tff(38,plain,
% 0.20/0.44 (sk(a_1098, a_1128) = i10),
% 0.20/0.44 inference(symmetry,[status(thm)],[37])).
% 0.20/0.44 tff(39,plain,
% 0.20/0.44 (i_1129 = i10),
% 0.20/0.44 inference(transitivity,[status(thm)],[8, 38])).
% 0.20/0.44 tff(40,plain,
% 0.20/0.44 (store(a_1127, i10, e10) = store(store(a_1126, i7, e7), i10, e10)),
% 0.20/0.44 inference(symmetry,[status(thm)],[23])).
% 0.20/0.44 tff(41,plain,
% 0.20/0.44 (a_1128 = store(store(a_1126, i7, e7), i10, e10)),
% 0.20/0.44 inference(transitivity,[status(thm)],[17, 40])).
% 0.20/0.44 tff(42,plain,
% 0.20/0.44 (select(a_1128, i_1129) = select(store(store(a_1126, i7, e7), i10, e10), i10)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[41, 39])).
% 0.20/0.44 tff(43,plain,
% 0.20/0.44 (select(store(store(a_1126, i7, e7), i10, e10), i10) = select(a_1128, i_1129)),
% 0.20/0.44 inference(symmetry,[status(thm)],[42])).
% 0.20/0.44 tff(44,plain,
% 0.20/0.44 (![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)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(45,plain,
% 0.20/0.44 (![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)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(46,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a1')).
% 0.20/0.44 tff(47,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.44 tff(48,plain,(
% 0.20/0.44 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.44 inference(skolemize,[status(sab)],[47])).
% 0.20/0.44 tff(49,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.20/0.44 tff(50,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1126, i7, e7), i10, e10), i10) = e10)),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(51,plain,
% 0.20/0.44 (select(store(store(a_1126, i7, e7), i10, e10), i10) = e10),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.20/0.44 tff(52,plain,
% 0.20/0.44 (e10 = select(store(store(a_1126, i7, e7), i10, e10), i10)),
% 0.20/0.44 inference(symmetry,[status(thm)],[51])).
% 0.20/0.44 tff(53,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1076, i9, e9), i10, e10), i10) = e10)),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(54,plain,
% 0.20/0.44 (select(store(store(a_1076, i9, e9), i10, e10), i10) = e10),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[53, 49])).
% 0.20/0.44 tff(55,plain,
% 0.20/0.44 (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), i10)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[38])).
% 0.20/0.44 tff(56,plain,
% 0.20/0.44 ((a_1077 = store(a_1076, i9, e9)) <=> (a_1077 = store(a_1076, i9, e9))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(57,axiom,(a_1077 = store(a_1076, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp8')).
% 0.20/0.44 tff(58,plain,
% 0.20/0.44 (a_1077 = store(a_1076, i9, e9)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.20/0.44 tff(59,plain,
% 0.20/0.44 (store(a_1076, i9, e9) = a_1077),
% 0.20/0.44 inference(symmetry,[status(thm)],[58])).
% 0.20/0.44 tff(60,plain,
% 0.20/0.44 (store(store(a_1076, i9, e9), i10, e10) = store(a_1077, i10, e10)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[59])).
% 0.20/0.44 tff(61,plain,
% 0.20/0.44 (store(a_1077, i10, e10) = store(store(a_1076, i9, e9), i10, e10)),
% 0.20/0.44 inference(symmetry,[status(thm)],[60])).
% 0.20/0.44 tff(62,plain,
% 0.20/0.44 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[61])).
% 0.20/0.44 tff(63,plain,
% 0.20/0.44 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.44 inference(transitivity,[status(thm)],[62, 55, 54, 52, 43, 14])).
% 0.20/0.44 tff(64,plain,
% 0.20/0.44 ((a_1098 = store(a_1097, i30, e30)) <=> (a_1098 = store(a_1097, i30, e30))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(65,axiom,(a_1098 = store(a_1097, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp29')).
% 0.20/0.44 tff(66,plain,
% 0.20/0.44 (a_1098 = store(a_1097, i30, e30)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.20/0.44 tff(67,plain,
% 0.20/0.44 (store(a_1097, i30, e30) = a_1098),
% 0.20/0.44 inference(symmetry,[status(thm)],[66])).
% 0.20/0.44 tff(68,plain,
% 0.20/0.44 ((a_1097 = store(a_1096, i29, e29)) <=> (a_1097 = store(a_1096, i29, e29))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(69,axiom,(a_1097 = store(a_1096, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp28')).
% 0.20/0.44 tff(70,plain,
% 0.20/0.44 (a_1097 = store(a_1096, i29, e29)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.20/0.44 tff(71,plain,
% 0.20/0.44 (store(a_1096, i29, e29) = a_1097),
% 0.20/0.44 inference(symmetry,[status(thm)],[70])).
% 0.20/0.44 tff(72,plain,
% 0.20/0.44 (store(store(a_1096, i29, e29), i30, e30) = store(a_1097, i30, e30)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[71])).
% 0.20/0.44 tff(73,plain,
% 0.20/0.44 (store(store(a_1096, i29, e29), i30, e30) = a_1098),
% 0.20/0.44 inference(transitivity,[status(thm)],[72, 67])).
% 0.20/0.44 tff(74,plain,
% 0.20/0.44 (select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(a_1098, i_1129)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[73, 9])).
% 0.20/0.44 tff(75,assumption,(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.44 tff(76,plain,
% 0.20/0.44 (select(store(a_1096, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128))),
% 0.20/0.44 inference(symmetry,[status(thm)],[75])).
% 0.20/0.44 tff(77,plain,
% 0.20/0.44 ((a_1096 = store(a_1095, i28, e28)) <=> (a_1096 = store(a_1095, i28, e28))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(78,axiom,(a_1096 = store(a_1095, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp27')).
% 0.20/0.44 tff(79,plain,
% 0.20/0.44 (a_1096 = store(a_1095, i28, e28)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.45 tff(80,plain,
% 0.20/0.45 (store(a_1095, i28, e28) = a_1096),
% 0.20/0.45 inference(symmetry,[status(thm)],[79])).
% 0.20/0.45 tff(81,plain,
% 0.20/0.45 (store(store(a_1095, i28, e28), i29, e29) = store(a_1096, i29, e29)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[80])).
% 0.20/0.45 tff(82,plain,
% 0.20/0.45 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[81])).
% 0.20/0.45 tff(83,plain,
% 0.20/0.45 ((sk(a_1098, a_1128) = i29) <=> (i29 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(84,plain,
% 0.20/0.45 ((i10 = i29) <=> (sk(a_1098, a_1128) = i29)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.45 tff(85,plain,
% 0.20/0.45 ((i10 = i29) <=> (i29 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(transitivity,[status(thm)],[84, 83])).
% 0.20/0.45 tff(86,plain,
% 0.20/0.45 ((~(i10 = i29)) <=> (~(i29 = sk(a_1098, a_1128)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[85])).
% 0.20/0.45 tff(87,plain,
% 0.20/0.45 ((~(i10 = i29)) <=> (~(i10 = i29))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(88,axiom,(~(i10 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp254')).
% 0.20/0.45 tff(89,plain,
% 0.20/0.45 (~(i10 = i29)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.20/0.45 tff(90,plain,
% 0.20/0.45 (~(i29 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[89, 86])).
% 0.20/0.45 tff(91,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1098, a_1128)) | (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1098, a_1128)) | (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(92,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1098, a_1128)) | (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(93,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1098, a_1128)) | (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.45 tff(94,plain,
% 0.20/0.45 ((i29 = sk(a_1098, a_1128)) | (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[93, 31])).
% 0.20/0.45 tff(95,plain,
% 0.20/0.45 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[94, 90])).
% 0.20/0.45 tff(96,plain,
% 0.20/0.45 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.45 inference(symmetry,[status(thm)],[95])).
% 0.20/0.45 tff(97,plain,
% 0.20/0.45 ((a_1095 = store(a_1094, i27, e27)) <=> (a_1095 = store(a_1094, i27, e27))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(98,axiom,(a_1095 = store(a_1094, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp26')).
% 0.20/0.45 tff(99,plain,
% 0.20/0.45 (a_1095 = store(a_1094, i27, e27)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.20/0.45 tff(100,plain,
% 0.20/0.45 (store(a_1094, i27, e27) = a_1095),
% 0.20/0.45 inference(symmetry,[status(thm)],[99])).
% 0.20/0.45 tff(101,plain,
% 0.20/0.45 (store(store(a_1094, i27, e27), i28, e28) = store(a_1095, i28, e28)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[100])).
% 0.20/0.45 tff(102,plain,
% 0.20/0.45 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[101])).
% 0.20/0.45 tff(103,plain,
% 0.20/0.45 ((sk(a_1098, a_1128) = i28) <=> (i28 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(104,plain,
% 0.20/0.45 ((i10 = i28) <=> (sk(a_1098, a_1128) = i28)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.45 tff(105,plain,
% 0.20/0.45 ((i10 = i28) <=> (i28 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(transitivity,[status(thm)],[104, 103])).
% 0.20/0.45 tff(106,plain,
% 0.20/0.45 ((~(i10 = i28)) <=> (~(i28 = sk(a_1098, a_1128)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[105])).
% 0.20/0.45 tff(107,plain,
% 0.20/0.45 ((~(i10 = i28)) <=> (~(i10 = i28))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(108,axiom,(~(i10 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp255')).
% 0.20/0.45 tff(109,plain,
% 0.20/0.45 (~(i10 = i28)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.20/0.45 tff(110,plain,
% 0.20/0.45 (~(i28 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[109, 106])).
% 0.20/0.45 tff(111,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1098, a_1128)) | (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(112,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(113,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1098, a_1128)) | (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.20/0.45 tff(114,plain,
% 0.20/0.45 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[113, 31, 110])).
% 0.20/0.45 tff(115,plain,
% 0.20/0.45 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.45 inference(symmetry,[status(thm)],[114])).
% 0.20/0.45 tff(116,plain,
% 0.20/0.45 ((a_1094 = store(a_1093, i26, e26)) <=> (a_1094 = store(a_1093, i26, e26))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(117,axiom,(a_1094 = store(a_1093, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp25')).
% 0.20/0.45 tff(118,plain,
% 0.20/0.45 (a_1094 = store(a_1093, i26, e26)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.45 tff(119,plain,
% 0.20/0.45 (store(a_1093, i26, e26) = a_1094),
% 0.20/0.45 inference(symmetry,[status(thm)],[118])).
% 0.20/0.45 tff(120,plain,
% 0.20/0.45 (store(store(a_1093, i26, e26), i27, e27) = store(a_1094, i27, e27)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[119])).
% 0.20/0.45 tff(121,plain,
% 0.20/0.45 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[120])).
% 0.20/0.45 tff(122,plain,
% 0.20/0.45 ((sk(a_1098, a_1128) = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(123,plain,
% 0.20/0.45 ((i10 = i27) <=> (sk(a_1098, a_1128) = i27)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.45 tff(124,plain,
% 0.20/0.45 ((i10 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(transitivity,[status(thm)],[123, 122])).
% 0.20/0.45 tff(125,plain,
% 0.20/0.45 ((~(i10 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[124])).
% 0.20/0.45 tff(126,plain,
% 0.20/0.45 ((~(i10 = i27)) <=> (~(i10 = i27))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(127,axiom,(~(i10 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp256')).
% 0.20/0.45 tff(128,plain,
% 0.20/0.45 (~(i10 = i27)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.45 tff(129,plain,
% 0.20/0.45 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[128, 125])).
% 0.20/0.45 tff(130,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1098, a_1128)) | (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1098, a_1128)) | (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[132, 31, 129])).
% 0.20/0.45 tff(134,plain,
% 0.20/0.45 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.45 inference(symmetry,[status(thm)],[133])).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 ((a_1093 = store(a_1092, i25, e25)) <=> (a_1093 = store(a_1092, i25, e25))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(136,axiom,(a_1093 = store(a_1092, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp24')).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 (a_1093 = store(a_1092, i25, e25)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.45 tff(138,plain,
% 0.20/0.45 (store(a_1092, i25, e25) = a_1093),
% 0.20/0.45 inference(symmetry,[status(thm)],[137])).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 (store(store(a_1092, i25, e25), i26, e26) = store(a_1093, i26, e26)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[138])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 ((sk(a_1098, a_1128) = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(142,plain,
% 0.20/0.45 ((i10 = i26) <=> (sk(a_1098, a_1128) = i26)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 ((i10 = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(transitivity,[status(thm)],[142, 141])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 ((~(i10 = i26)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[143])).
% 0.20/0.45 tff(145,plain,
% 0.20/0.45 ((~(i10 = i26)) <=> (~(i10 = i26))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(146,axiom,(~(i10 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp257')).
% 0.20/0.45 tff(147,plain,
% 0.20/0.45 (~(i10 = i26)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.20/0.45 tff(148,plain,
% 0.20/0.45 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[147, 144])).
% 0.20/0.45 tff(149,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1098, a_1128)) | (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(150,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(151,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1098, a_1128)) | (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.46 tff(152,plain,
% 0.20/0.46 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[151, 31, 148])).
% 0.20/0.46 tff(153,plain,
% 0.20/0.46 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.46 inference(symmetry,[status(thm)],[152])).
% 0.20/0.46 tff(154,plain,
% 0.20/0.46 ((a_1092 = store(a_1091, i24, e24)) <=> (a_1092 = store(a_1091, i24, e24))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(155,axiom,(a_1092 = store(a_1091, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp23')).
% 0.20/0.46 tff(156,plain,
% 0.20/0.46 (a_1092 = store(a_1091, i24, e24)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.20/0.46 tff(157,plain,
% 0.20/0.46 (store(a_1091, i24, e24) = a_1092),
% 0.20/0.46 inference(symmetry,[status(thm)],[156])).
% 0.20/0.46 tff(158,plain,
% 0.20/0.46 (store(store(a_1091, i24, e24), i25, e25) = store(a_1092, i25, e25)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[157])).
% 0.20/0.46 tff(159,plain,
% 0.20/0.46 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[158])).
% 0.20/0.46 tff(160,plain,
% 0.20/0.46 ((sk(a_1098, a_1128) = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(161,plain,
% 0.20/0.46 ((i10 = i25) <=> (sk(a_1098, a_1128) = i25)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.46 tff(162,plain,
% 0.20/0.46 ((i10 = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(transitivity,[status(thm)],[161, 160])).
% 0.20/0.46 tff(163,plain,
% 0.20/0.46 ((~(i10 = i25)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.46 tff(164,plain,
% 0.20/0.46 ((~(i10 = i25)) <=> (~(i10 = i25))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(165,axiom,(~(i10 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp258')).
% 0.20/0.46 tff(166,plain,
% 0.20/0.46 (~(i10 = i25)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.46 tff(167,plain,
% 0.20/0.46 (~(i25 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[166, 163])).
% 0.20/0.46 tff(168,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(169,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(170,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.20/0.46 tff(171,plain,
% 0.20/0.46 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[170, 31, 167])).
% 0.20/0.46 tff(172,plain,
% 0.20/0.46 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.20/0.46 inference(symmetry,[status(thm)],[171])).
% 0.20/0.46 tff(173,plain,
% 0.20/0.46 ((a_1091 = store(a_1090, i23, e23)) <=> (a_1091 = store(a_1090, i23, e23))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(174,axiom,(a_1091 = store(a_1090, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp22')).
% 0.20/0.46 tff(175,plain,
% 0.20/0.46 (a_1091 = store(a_1090, i23, e23)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.20/0.46 tff(176,plain,
% 0.20/0.46 (store(a_1090, i23, e23) = a_1091),
% 0.20/0.46 inference(symmetry,[status(thm)],[175])).
% 0.20/0.46 tff(177,plain,
% 0.20/0.46 (store(store(a_1090, i23, e23), i24, e24) = store(a_1091, i24, e24)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[176])).
% 0.20/0.46 tff(178,plain,
% 0.20/0.46 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[177])).
% 0.20/0.46 tff(179,plain,
% 0.20/0.46 ((sk(a_1098, a_1128) = i24) <=> (i24 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(180,plain,
% 0.20/0.46 ((i10 = i24) <=> (sk(a_1098, a_1128) = i24)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.46 tff(181,plain,
% 0.20/0.46 ((i10 = i24) <=> (i24 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(transitivity,[status(thm)],[180, 179])).
% 0.20/0.46 tff(182,plain,
% 0.20/0.46 ((~(i10 = i24)) <=> (~(i24 = sk(a_1098, a_1128)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[181])).
% 0.20/0.46 tff(183,plain,
% 0.20/0.46 ((~(i10 = i24)) <=> (~(i10 = i24))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(184,axiom,(~(i10 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp259')).
% 0.20/0.46 tff(185,plain,
% 0.20/0.46 (~(i10 = i24)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.20/0.46 tff(186,plain,
% 0.20/0.46 (~(i24 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[185, 182])).
% 0.20/0.46 tff(187,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1098, a_1128)) | (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1098, a_1128)) | (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(188,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1098, a_1128)) | (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(189,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1098, a_1128)) | (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.20/0.46 tff(190,plain,
% 0.20/0.46 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[189, 31, 186])).
% 0.20/0.46 tff(191,plain,
% 0.20/0.46 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.46 inference(symmetry,[status(thm)],[190])).
% 0.20/0.46 tff(192,plain,
% 0.20/0.46 ((a_1090 = store(a_1089, i22, e22)) <=> (a_1090 = store(a_1089, i22, e22))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(193,axiom,(a_1090 = store(a_1089, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp21')).
% 0.20/0.46 tff(194,plain,
% 0.20/0.46 (a_1090 = store(a_1089, i22, e22)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.20/0.46 tff(195,plain,
% 0.20/0.46 (store(a_1089, i22, e22) = a_1090),
% 0.20/0.46 inference(symmetry,[status(thm)],[194])).
% 0.20/0.46 tff(196,plain,
% 0.20/0.46 (store(store(a_1089, i22, e22), i23, e23) = store(a_1090, i23, e23)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[195])).
% 0.20/0.46 tff(197,plain,
% 0.20/0.46 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[196])).
% 0.20/0.46 tff(198,plain,
% 0.20/0.46 ((sk(a_1098, a_1128) = i23) <=> (i23 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(199,plain,
% 0.20/0.46 ((i10 = i23) <=> (sk(a_1098, a_1128) = i23)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.46 tff(200,plain,
% 0.20/0.46 ((i10 = i23) <=> (i23 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(transitivity,[status(thm)],[199, 198])).
% 0.20/0.46 tff(201,plain,
% 0.20/0.46 ((~(i10 = i23)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[200])).
% 0.20/0.46 tff(202,plain,
% 0.20/0.46 ((~(i10 = i23)) <=> (~(i10 = i23))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(203,axiom,(~(i10 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp260')).
% 0.20/0.46 tff(204,plain,
% 0.20/0.46 (~(i10 = i23)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.46 tff(205,plain,
% 0.20/0.46 (~(i23 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[204, 201])).
% 0.20/0.46 tff(206,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1098, a_1128)) | (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1098, a_1128)) | (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(207,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1098, a_1128)) | (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(208,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1098, a_1128)) | (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.46 tff(209,plain,
% 0.20/0.46 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[208, 31, 205])).
% 0.20/0.46 tff(210,plain,
% 0.20/0.46 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.20/0.46 inference(symmetry,[status(thm)],[209])).
% 0.20/0.46 tff(211,plain,
% 0.20/0.46 ((a_1089 = store(a_1088, i21, e21)) <=> (a_1089 = store(a_1088, i21, e21))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(212,axiom,(a_1089 = store(a_1088, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp20')).
% 0.20/0.46 tff(213,plain,
% 0.20/0.46 (a_1089 = store(a_1088, i21, e21)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.46 tff(214,plain,
% 0.20/0.46 (store(a_1088, i21, e21) = a_1089),
% 0.20/0.46 inference(symmetry,[status(thm)],[213])).
% 0.20/0.46 tff(215,plain,
% 0.20/0.46 (store(store(a_1088, i21, e21), i22, e22) = store(a_1089, i22, e22)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[214])).
% 0.20/0.46 tff(216,plain,
% 0.20/0.46 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[215])).
% 0.20/0.46 tff(217,plain,
% 0.20/0.46 ((sk(a_1098, a_1128) = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(218,plain,
% 0.20/0.46 ((i10 = i22) <=> (sk(a_1098, a_1128) = i22)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.46 tff(219,plain,
% 0.20/0.46 ((i10 = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(transitivity,[status(thm)],[218, 217])).
% 0.20/0.46 tff(220,plain,
% 0.20/0.46 ((~(i10 = i22)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[219])).
% 0.20/0.46 tff(221,plain,
% 0.20/0.46 ((~(i10 = i22)) <=> (~(i10 = i22))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(222,axiom,(~(i10 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp261')).
% 0.20/0.46 tff(223,plain,
% 0.20/0.46 (~(i10 = i22)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.46 tff(224,plain,
% 0.20/0.46 (~(i22 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[223, 220])).
% 0.20/0.46 tff(225,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1098, a_1128)) | (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(226,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(227,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1098, a_1128)) | (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.20/0.46 tff(228,plain,
% 0.20/0.46 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[227, 31, 224])).
% 0.20/0.46 tff(229,plain,
% 0.20/0.46 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.20/0.46 inference(symmetry,[status(thm)],[228])).
% 0.20/0.46 tff(230,plain,
% 0.20/0.46 ((a_1088 = store(a_1087, i20, e20)) <=> (a_1088 = store(a_1087, i20, e20))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(231,axiom,(a_1088 = store(a_1087, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp19')).
% 0.20/0.46 tff(232,plain,
% 0.20/0.46 (a_1088 = store(a_1087, i20, e20)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.20/0.46 tff(233,plain,
% 0.20/0.46 (store(a_1087, i20, e20) = a_1088),
% 0.20/0.46 inference(symmetry,[status(thm)],[232])).
% 0.20/0.46 tff(234,plain,
% 0.20/0.46 (store(store(a_1087, i20, e20), i21, e21) = store(a_1088, i21, e21)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[233])).
% 0.20/0.46 tff(235,plain,
% 0.20/0.46 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[234])).
% 0.20/0.46 tff(236,plain,
% 0.20/0.46 ((sk(a_1098, a_1128) = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(237,plain,
% 0.20/0.46 ((i10 = i21) <=> (sk(a_1098, a_1128) = i21)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.46 tff(238,plain,
% 0.20/0.46 ((i10 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(transitivity,[status(thm)],[237, 236])).
% 0.20/0.46 tff(239,plain,
% 0.20/0.46 ((~(i10 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[238])).
% 0.20/0.46 tff(240,plain,
% 0.20/0.46 ((~(i10 = i21)) <=> (~(i10 = i21))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(241,axiom,(~(i10 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp262')).
% 0.20/0.46 tff(242,plain,
% 0.20/0.46 (~(i10 = i21)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.20/0.46 tff(243,plain,
% 0.20/0.46 (~(i21 = sk(a_1098, a_1128))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[242, 239])).
% 0.20/0.46 tff(244,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1098, a_1128)) | (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(245,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(246,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1098, a_1128)) | (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.20/0.47 tff(247,plain,
% 0.20/0.47 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[246, 31, 243])).
% 0.20/0.47 tff(248,plain,
% 0.20/0.47 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.20/0.47 inference(symmetry,[status(thm)],[247])).
% 0.20/0.47 tff(249,plain,
% 0.20/0.47 ((a_1087 = store(a_1086, i19, e19)) <=> (a_1087 = store(a_1086, i19, e19))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(250,axiom,(a_1087 = store(a_1086, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp18')).
% 0.20/0.47 tff(251,plain,
% 0.20/0.47 (a_1087 = store(a_1086, i19, e19)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.20/0.47 tff(252,plain,
% 0.20/0.47 (store(a_1086, i19, e19) = a_1087),
% 0.20/0.47 inference(symmetry,[status(thm)],[251])).
% 0.20/0.47 tff(253,plain,
% 0.20/0.47 (store(store(a_1086, i19, e19), i20, e20) = store(a_1087, i20, e20)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[252])).
% 0.20/0.47 tff(254,plain,
% 0.20/0.47 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[253])).
% 0.20/0.47 tff(255,plain,
% 0.20/0.47 ((sk(a_1098, a_1128) = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(commutativity,[status(thm)],[])).
% 0.20/0.47 tff(256,plain,
% 0.20/0.47 ((i10 = i20) <=> (sk(a_1098, a_1128) = i20)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.47 tff(257,plain,
% 0.20/0.47 ((i10 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(transitivity,[status(thm)],[256, 255])).
% 0.20/0.47 tff(258,plain,
% 0.20/0.47 ((~(i10 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[257])).
% 0.20/0.47 tff(259,plain,
% 0.20/0.47 ((~(i10 = i20)) <=> (~(i10 = i20))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(260,axiom,(~(i10 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp263')).
% 0.20/0.47 tff(261,plain,
% 0.20/0.47 (~(i10 = i20)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.20/0.47 tff(262,plain,
% 0.20/0.47 (~(i20 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[261, 258])).
% 0.20/0.47 tff(263,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1098, a_1128)) | (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(264,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(265,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1098, a_1128)) | (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.20/0.47 tff(266,plain,
% 0.20/0.47 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[265, 31, 262])).
% 0.20/0.47 tff(267,plain,
% 0.20/0.47 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.20/0.47 inference(symmetry,[status(thm)],[266])).
% 0.20/0.47 tff(268,plain,
% 0.20/0.47 ((a_1086 = store(a_1085, i18, e18)) <=> (a_1086 = store(a_1085, i18, e18))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(269,axiom,(a_1086 = store(a_1085, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp17')).
% 0.20/0.47 tff(270,plain,
% 0.20/0.47 (a_1086 = store(a_1085, i18, e18)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.20/0.47 tff(271,plain,
% 0.20/0.47 (store(a_1085, i18, e18) = a_1086),
% 0.20/0.47 inference(symmetry,[status(thm)],[270])).
% 0.20/0.47 tff(272,plain,
% 0.20/0.47 (store(store(a_1085, i18, e18), i19, e19) = store(a_1086, i19, e19)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[271])).
% 0.20/0.47 tff(273,plain,
% 0.20/0.47 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[272])).
% 0.20/0.47 tff(274,plain,
% 0.20/0.47 ((sk(a_1098, a_1128) = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(commutativity,[status(thm)],[])).
% 0.20/0.47 tff(275,plain,
% 0.20/0.47 ((i10 = i19) <=> (sk(a_1098, a_1128) = i19)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.47 tff(276,plain,
% 0.20/0.47 ((i10 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(transitivity,[status(thm)],[275, 274])).
% 0.20/0.47 tff(277,plain,
% 0.20/0.47 ((~(i10 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[276])).
% 0.20/0.47 tff(278,plain,
% 0.20/0.47 ((~(i10 = i19)) <=> (~(i10 = i19))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(279,axiom,(~(i10 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp264')).
% 0.20/0.47 tff(280,plain,
% 0.20/0.47 (~(i10 = i19)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.47 tff(281,plain,
% 0.20/0.47 (~(i19 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[280, 277])).
% 0.20/0.47 tff(282,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1098, a_1128)) | (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1098, a_1128)) | (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(283,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1098, a_1128)) | (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(284,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1098, a_1128)) | (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.20/0.47 tff(285,plain,
% 0.20/0.47 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[284, 31, 281])).
% 0.20/0.47 tff(286,plain,
% 0.20/0.47 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.20/0.47 inference(symmetry,[status(thm)],[285])).
% 0.20/0.47 tff(287,plain,
% 0.20/0.47 ((a_1085 = store(a_1084, i17, e17)) <=> (a_1085 = store(a_1084, i17, e17))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(288,axiom,(a_1085 = store(a_1084, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp16')).
% 0.20/0.47 tff(289,plain,
% 0.20/0.47 (a_1085 = store(a_1084, i17, e17)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.20/0.47 tff(290,plain,
% 0.20/0.47 (store(a_1084, i17, e17) = a_1085),
% 0.20/0.47 inference(symmetry,[status(thm)],[289])).
% 0.20/0.47 tff(291,plain,
% 0.20/0.47 (store(store(a_1084, i17, e17), i18, e18) = store(a_1085, i18, e18)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[290])).
% 0.20/0.47 tff(292,plain,
% 0.20/0.47 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[291])).
% 0.20/0.47 tff(293,plain,
% 0.20/0.47 ((sk(a_1098, a_1128) = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(commutativity,[status(thm)],[])).
% 0.20/0.47 tff(294,plain,
% 0.20/0.47 ((i10 = i18) <=> (sk(a_1098, a_1128) = i18)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.47 tff(295,plain,
% 0.20/0.47 ((i10 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(transitivity,[status(thm)],[294, 293])).
% 0.20/0.47 tff(296,plain,
% 0.20/0.47 ((~(i10 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[295])).
% 0.20/0.47 tff(297,plain,
% 0.20/0.47 ((~(i10 = i18)) <=> (~(i10 = i18))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(298,axiom,(~(i10 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp265')).
% 0.20/0.47 tff(299,plain,
% 0.20/0.47 (~(i10 = i18)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.20/0.47 tff(300,plain,
% 0.20/0.47 (~(i18 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[299, 296])).
% 0.20/0.47 tff(301,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1098, a_1128)) | (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1098, a_1128)) | (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(302,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1098, a_1128)) | (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(303,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1098, a_1128)) | (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.20/0.47 tff(304,plain,
% 0.20/0.47 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[303, 31, 300])).
% 0.20/0.47 tff(305,plain,
% 0.20/0.47 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.20/0.47 inference(symmetry,[status(thm)],[304])).
% 0.20/0.47 tff(306,plain,
% 0.20/0.47 ((a_1084 = store(a_1083, i16, e16)) <=> (a_1084 = store(a_1083, i16, e16))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(307,axiom,(a_1084 = store(a_1083, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp15')).
% 0.20/0.47 tff(308,plain,
% 0.20/0.47 (a_1084 = store(a_1083, i16, e16)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.20/0.47 tff(309,plain,
% 0.20/0.47 (store(a_1083, i16, e16) = a_1084),
% 0.20/0.47 inference(symmetry,[status(thm)],[308])).
% 0.20/0.47 tff(310,plain,
% 0.20/0.47 (store(store(a_1083, i16, e16), i17, e17) = store(a_1084, i17, e17)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[309])).
% 0.20/0.47 tff(311,plain,
% 0.20/0.47 (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[310])).
% 0.20/0.47 tff(312,plain,
% 0.20/0.47 ((sk(a_1098, a_1128) = i17) <=> (i17 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(commutativity,[status(thm)],[])).
% 0.20/0.47 tff(313,plain,
% 0.20/0.47 ((i10 = i17) <=> (sk(a_1098, a_1128) = i17)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.47 tff(314,plain,
% 0.20/0.47 ((i10 = i17) <=> (i17 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(transitivity,[status(thm)],[313, 312])).
% 0.20/0.47 tff(315,plain,
% 0.20/0.47 ((~(i10 = i17)) <=> (~(i17 = sk(a_1098, a_1128)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[314])).
% 0.20/0.47 tff(316,plain,
% 0.20/0.47 ((~(i10 = i17)) <=> (~(i10 = i17))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(317,axiom,(~(i10 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp266')).
% 0.20/0.47 tff(318,plain,
% 0.20/0.47 (~(i10 = i17)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[317, 316])).
% 0.20/0.47 tff(319,plain,
% 0.20/0.47 (~(i17 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[318, 315])).
% 0.20/0.47 tff(320,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1098, a_1128)) | (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1098, a_1128)) | (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(321,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1098, a_1128)) | (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(322,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1098, a_1128)) | (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.20/0.47 tff(323,plain,
% 0.20/0.47 (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[322, 31, 319])).
% 0.20/0.47 tff(324,plain,
% 0.20/0.47 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128))),
% 0.20/0.47 inference(symmetry,[status(thm)],[323])).
% 0.20/0.47 tff(325,plain,
% 0.20/0.47 ((a_1083 = store(a_1082, i15, e15)) <=> (a_1083 = store(a_1082, i15, e15))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(326,axiom,(a_1083 = store(a_1082, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp14')).
% 0.20/0.47 tff(327,plain,
% 0.20/0.47 (a_1083 = store(a_1082, i15, e15)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.20/0.47 tff(328,plain,
% 0.20/0.47 (store(a_1082, i15, e15) = a_1083),
% 0.20/0.47 inference(symmetry,[status(thm)],[327])).
% 0.20/0.47 tff(329,plain,
% 0.20/0.47 (store(store(a_1082, i15, e15), i16, e16) = store(a_1083, i16, e16)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[328])).
% 0.20/0.47 tff(330,plain,
% 0.20/0.47 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[329])).
% 0.20/0.47 tff(331,plain,
% 0.20/0.47 ((sk(a_1098, a_1128) = i16) <=> (i16 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(commutativity,[status(thm)],[])).
% 0.20/0.47 tff(332,plain,
% 0.20/0.47 ((i10 = i16) <=> (sk(a_1098, a_1128) = i16)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.47 tff(333,plain,
% 0.20/0.47 ((i10 = i16) <=> (i16 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(transitivity,[status(thm)],[332, 331])).
% 0.20/0.47 tff(334,plain,
% 0.20/0.47 ((~(i10 = i16)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[333])).
% 0.20/0.47 tff(335,plain,
% 0.20/0.47 ((~(i10 = i16)) <=> (~(i10 = i16))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(336,axiom,(~(i10 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp267')).
% 0.20/0.47 tff(337,plain,
% 0.20/0.47 (~(i10 = i16)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.20/0.47 tff(338,plain,
% 0.20/0.47 (~(i16 = sk(a_1098, a_1128))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[337, 334])).
% 0.20/0.47 tff(339,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1098, a_1128)) | (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1098, a_1128)) | (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(340,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1098, a_1128)) | (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(341,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1098, a_1128)) | (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.20/0.48 tff(342,plain,
% 0.20/0.48 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[341, 31, 338])).
% 0.20/0.48 tff(343,plain,
% 0.20/0.48 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[342])).
% 0.20/0.48 tff(344,plain,
% 0.20/0.48 ((a_1082 = store(a_1081, i14, e14)) <=> (a_1082 = store(a_1081, i14, e14))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(345,axiom,(a_1082 = store(a_1081, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp13')).
% 0.20/0.48 tff(346,plain,
% 0.20/0.48 (a_1082 = store(a_1081, i14, e14)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.20/0.48 tff(347,plain,
% 0.20/0.48 (store(a_1081, i14, e14) = a_1082),
% 0.20/0.48 inference(symmetry,[status(thm)],[346])).
% 0.20/0.48 tff(348,plain,
% 0.20/0.48 (store(store(a_1081, i14, e14), i15, e15) = store(a_1082, i15, e15)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[347])).
% 0.20/0.48 tff(349,plain,
% 0.20/0.48 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[348])).
% 0.20/0.48 tff(350,plain,
% 0.20/0.48 ((sk(a_1098, a_1128) = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(351,plain,
% 0.20/0.48 ((i10 = i15) <=> (sk(a_1098, a_1128) = i15)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.48 tff(352,plain,
% 0.20/0.48 ((i10 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(transitivity,[status(thm)],[351, 350])).
% 0.20/0.48 tff(353,plain,
% 0.20/0.48 ((~(i10 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[352])).
% 0.20/0.48 tff(354,plain,
% 0.20/0.48 ((~(i10 = i15)) <=> (~(i10 = i15))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(355,axiom,(~(i10 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp268')).
% 0.20/0.48 tff(356,plain,
% 0.20/0.48 (~(i10 = i15)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[355, 354])).
% 0.20/0.48 tff(357,plain,
% 0.20/0.48 (~(i15 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[356, 353])).
% 0.20/0.48 tff(358,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1098, a_1128)) | (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1098, a_1128)) | (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(359,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1098, a_1128)) | (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(360,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1098, a_1128)) | (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.20/0.48 tff(361,plain,
% 0.20/0.48 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[360, 31, 357])).
% 0.20/0.48 tff(362,plain,
% 0.20/0.48 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[361])).
% 0.20/0.48 tff(363,plain,
% 0.20/0.48 ((a_1081 = store(a_1080, i13, e13)) <=> (a_1081 = store(a_1080, i13, e13))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(364,axiom,(a_1081 = store(a_1080, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp12')).
% 0.20/0.48 tff(365,plain,
% 0.20/0.48 (a_1081 = store(a_1080, i13, e13)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.20/0.48 tff(366,plain,
% 0.20/0.48 (store(a_1080, i13, e13) = a_1081),
% 0.20/0.48 inference(symmetry,[status(thm)],[365])).
% 0.20/0.48 tff(367,plain,
% 0.20/0.48 (store(store(a_1080, i13, e13), i14, e14) = store(a_1081, i14, e14)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[366])).
% 0.20/0.48 tff(368,plain,
% 0.20/0.48 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[367])).
% 0.20/0.48 tff(369,plain,
% 0.20/0.48 ((sk(a_1098, a_1128) = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(370,plain,
% 0.20/0.48 ((i10 = i14) <=> (sk(a_1098, a_1128) = i14)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.48 tff(371,plain,
% 0.20/0.48 ((i10 = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(transitivity,[status(thm)],[370, 369])).
% 0.20/0.48 tff(372,plain,
% 0.20/0.48 ((~(i10 = i14)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[371])).
% 0.20/0.48 tff(373,plain,
% 0.20/0.48 ((~(i10 = i14)) <=> (~(i10 = i14))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(374,axiom,(~(i10 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp269')).
% 0.20/0.48 tff(375,plain,
% 0.20/0.48 (~(i10 = i14)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.20/0.48 tff(376,plain,
% 0.20/0.48 (~(i14 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[375, 372])).
% 0.20/0.48 tff(377,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(378,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(379,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.20/0.48 tff(380,plain,
% 0.20/0.48 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[379, 31, 376])).
% 0.20/0.48 tff(381,plain,
% 0.20/0.48 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[380])).
% 0.20/0.48 tff(382,plain,
% 0.20/0.48 ((a_1080 = store(a_1079, i12, e12)) <=> (a_1080 = store(a_1079, i12, e12))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(383,axiom,(a_1080 = store(a_1079, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp11')).
% 0.20/0.48 tff(384,plain,
% 0.20/0.48 (a_1080 = store(a_1079, i12, e12)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[383, 382])).
% 0.20/0.48 tff(385,plain,
% 0.20/0.48 (store(a_1079, i12, e12) = a_1080),
% 0.20/0.48 inference(symmetry,[status(thm)],[384])).
% 0.20/0.48 tff(386,plain,
% 0.20/0.48 (store(store(a_1079, i12, e12), i13, e13) = store(a_1080, i13, e13)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[385])).
% 0.20/0.48 tff(387,plain,
% 0.20/0.48 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.48 tff(388,plain,
% 0.20/0.48 ((sk(a_1098, a_1128) = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(389,plain,
% 0.20/0.48 ((i10 = i13) <=> (sk(a_1098, a_1128) = i13)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.48 tff(390,plain,
% 0.20/0.48 ((i10 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(transitivity,[status(thm)],[389, 388])).
% 0.20/0.48 tff(391,plain,
% 0.20/0.48 ((~(i10 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[390])).
% 0.20/0.48 tff(392,plain,
% 0.20/0.48 ((~(i10 = i13)) <=> (~(i10 = i13))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(393,axiom,(~(i10 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp270')).
% 0.20/0.48 tff(394,plain,
% 0.20/0.48 (~(i10 = i13)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.20/0.48 tff(395,plain,
% 0.20/0.48 (~(i13 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[394, 391])).
% 0.20/0.48 tff(396,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1098, a_1128)) | (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1098, a_1128)) | (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(397,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1098, a_1128)) | (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(398,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1098, a_1128)) | (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[397, 396])).
% 0.20/0.48 tff(399,plain,
% 0.20/0.48 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[398, 31, 395])).
% 0.20/0.48 tff(400,plain,
% 0.20/0.48 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[399])).
% 0.20/0.48 tff(401,plain,
% 0.20/0.48 ((a_1079 = store(a_1078, i11, e11)) <=> (a_1079 = store(a_1078, i11, e11))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(402,axiom,(a_1079 = store(a_1078, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp10')).
% 0.20/0.48 tff(403,plain,
% 0.20/0.48 (a_1079 = store(a_1078, i11, e11)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.20/0.48 tff(404,plain,
% 0.20/0.48 (store(a_1078, i11, e11) = a_1079),
% 0.20/0.48 inference(symmetry,[status(thm)],[403])).
% 0.20/0.48 tff(405,plain,
% 0.20/0.48 (store(store(a_1078, i11, e11), i12, e12) = store(a_1079, i12, e12)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[404])).
% 0.20/0.48 tff(406,plain,
% 0.20/0.48 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[405])).
% 0.20/0.48 tff(407,plain,
% 0.20/0.48 ((sk(a_1098, a_1128) = i12) <=> (i12 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(408,plain,
% 0.20/0.48 ((i10 = i12) <=> (sk(a_1098, a_1128) = i12)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.48 tff(409,plain,
% 0.20/0.48 ((i10 = i12) <=> (i12 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(transitivity,[status(thm)],[408, 407])).
% 0.20/0.48 tff(410,plain,
% 0.20/0.48 ((~(i10 = i12)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[409])).
% 0.20/0.48 tff(411,plain,
% 0.20/0.48 ((~(i10 = i12)) <=> (~(i10 = i12))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(412,axiom,(~(i10 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp271')).
% 0.20/0.48 tff(413,plain,
% 0.20/0.48 (~(i10 = i12)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.20/0.48 tff(414,plain,
% 0.20/0.48 (~(i12 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[413, 410])).
% 0.20/0.48 tff(415,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1098, a_1128)) | (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1098, a_1128)) | (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(416,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1098, a_1128)) | (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(417,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1098, a_1128)) | (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.20/0.48 tff(418,plain,
% 0.20/0.48 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[417, 31, 414])).
% 0.20/0.48 tff(419,plain,
% 0.20/0.48 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[418])).
% 0.20/0.48 tff(420,plain,
% 0.20/0.48 ((a_1078 = store(a_1077, i10, e10)) <=> (a_1078 = store(a_1077, i10, e10))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(421,axiom,(a_1078 = store(a_1077, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp9')).
% 0.20/0.48 tff(422,plain,
% 0.20/0.48 (a_1078 = store(a_1077, i10, e10)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.20/0.48 tff(423,plain,
% 0.20/0.48 (store(a_1077, i10, e10) = a_1078),
% 0.20/0.48 inference(symmetry,[status(thm)],[422])).
% 0.20/0.48 tff(424,plain,
% 0.20/0.48 (store(store(a_1077, i10, e10), i11, e11) = store(a_1078, i11, e11)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[423])).
% 0.20/0.48 tff(425,plain,
% 0.20/0.48 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[424])).
% 0.20/0.48 tff(426,plain,
% 0.20/0.48 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.48 inference(transitivity,[status(thm)],[425, 419, 406, 400, 387, 381, 368, 362, 349, 343, 330, 324, 311, 305, 292, 286, 273, 267, 254, 248, 235, 229, 216, 210, 197, 191, 178, 172, 159, 153, 140, 134, 121, 115, 102, 96, 82, 76, 74, 5])).
% 0.20/0.48 tff(427,plain,
% 0.20/0.48 ((select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[426, 63])).
% 0.20/0.48 tff(428,plain,
% 0.20/0.48 ((e_1130 = e_1131) <=> (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(symmetry,[status(thm)],[427])).
% 0.20/0.48 tff(429,plain,
% 0.20/0.48 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[428])).
% 0.20/0.48 tff(430,plain,
% 0.20/0.48 ((~(e_1130 = e_1131)) <=> (~(e_1130 = e_1131))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(431,axiom,(~(e_1130 = e_1131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goal')).
% 0.20/0.48 tff(432,plain,
% 0.20/0.48 (~(e_1130 = e_1131)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[431, 430])).
% 0.20/0.48 tff(433,plain,
% 0.20/0.48 (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[432, 429])).
% 0.20/0.48 tff(434,plain,
% 0.20/0.48 ((sk(a_1098, a_1128) = i11) <=> (i11 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(commutativity,[status(thm)],[])).
% 0.20/0.48 tff(435,plain,
% 0.20/0.48 ((i10 = i11) <=> (sk(a_1098, a_1128) = i11)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[37])).
% 0.20/0.48 tff(436,plain,
% 0.20/0.48 ((i10 = i11) <=> (i11 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(transitivity,[status(thm)],[435, 434])).
% 0.20/0.48 tff(437,plain,
% 0.20/0.48 ((~(i10 = i11)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[436])).
% 0.20/0.48 tff(438,plain,
% 0.20/0.48 ((~(i10 = i11)) <=> (~(i10 = i11))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(439,axiom,(~(i10 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp272')).
% 0.20/0.48 tff(440,plain,
% 0.20/0.48 (~(i10 = i11)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[439, 438])).
% 0.20/0.48 tff(441,plain,
% 0.20/0.48 (~(i11 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[440, 437])).
% 0.20/0.48 tff(442,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1098, a_1128)) | (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(443,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(444,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1098, a_1128)) | (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[443, 442])).
% 0.20/0.48 tff(445,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[444, 31, 441, 433])).
% 0.20/0.48 tff(446,plain,((~(i10 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(447,plain,
% 0.20/0.48 (~(i10 = sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[446, 36])).
% 0.20/0.48 tff(448,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1098, a_1128)) | (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1098, a_1128)) | (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(449,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1098, a_1128)) | (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(450,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1098, a_1128)) | (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[449, 448])).
% 0.20/0.48 tff(451,plain,
% 0.20/0.48 ((i10 = sk(a_1098, a_1128)) | (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[450, 31])).
% 0.20/0.48 tff(452,plain,
% 0.20/0.48 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[451, 447])).
% 0.20/0.48 tff(453,plain,
% 0.20/0.48 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.20/0.48 inference(symmetry,[status(thm)],[452])).
% 0.20/0.48 tff(454,plain,
% 0.20/0.48 ((a_1126 = store(a_1125, i24, e24)) <=> (a_1126 = store(a_1125, i24, e24))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(455,axiom,(a_1126 = store(a_1125, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp57')).
% 0.20/0.49 tff(456,plain,
% 0.20/0.49 (a_1126 = store(a_1125, i24, e24)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.20/0.49 tff(457,plain,
% 0.20/0.49 (store(a_1125, i24, e24) = a_1126),
% 0.20/0.49 inference(symmetry,[status(thm)],[456])).
% 0.20/0.49 tff(458,plain,
% 0.20/0.49 (store(store(a_1125, i24, e24), i7, e7) = store(a_1126, i7, e7)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[457])).
% 0.20/0.49 tff(459,plain,
% 0.20/0.49 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[458])).
% 0.20/0.49 tff(460,assumption,(~(i24 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.49 tff(461,plain,
% 0.20/0.49 (select(store(a_1096, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[36])).
% 0.20/0.49 tff(462,assumption,(i29 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.49 tff(463,plain,
% 0.20/0.49 (sk(a_1098, a_1128) = i29),
% 0.20/0.49 inference(symmetry,[status(thm)],[462])).
% 0.20/0.49 tff(464,plain,
% 0.20/0.49 ((i5 = sk(a_1098, a_1128)) <=> (i5 = i29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.49 tff(465,plain,
% 0.20/0.49 ((i5 = i29) <=> (i5 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[464])).
% 0.20/0.49 tff(466,plain,
% 0.20/0.49 ((~(i5 = i29)) <=> (~(i5 = sk(a_1098, a_1128)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[465])).
% 0.20/0.49 tff(467,plain,
% 0.20/0.49 ((~(i5 = i29)) <=> (~(i5 = i29))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(468,axiom,(~(i5 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp364')).
% 0.20/0.49 tff(469,plain,
% 0.20/0.49 (~(i5 = i29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[468, 467])).
% 0.20/0.49 tff(470,plain,
% 0.20/0.49 (~(i5 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[469, 466])).
% 0.20/0.49 tff(471,plain,
% 0.20/0.49 (select(store(store(a_1095, i28, e28), i29, e29), i29) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[81, 462])).
% 0.20/0.49 tff(472,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1095, i28, e28), i29, e29), i29) = e29)),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(473,plain,
% 0.20/0.49 (select(store(store(a_1095, i28, e28), i29, e29), i29) = e29),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[472, 49])).
% 0.20/0.49 tff(474,plain,
% 0.20/0.49 (e29 = select(store(store(a_1095, i28, e28), i29, e29), i29)),
% 0.20/0.49 inference(symmetry,[status(thm)],[473])).
% 0.20/0.49 tff(475,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1113, i14, e14), i29, e29), i29) = e29)),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(476,plain,
% 0.20/0.49 (select(store(store(a_1113, i14, e14), i29, e29), i29) = e29),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[475, 49])).
% 0.20/0.49 tff(477,plain,
% 0.20/0.49 ((a_1114 = store(a_1113, i14, e14)) <=> (a_1114 = store(a_1113, i14, e14))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(478,axiom,(a_1114 = store(a_1113, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp45')).
% 0.20/0.49 tff(479,plain,
% 0.20/0.49 (a_1114 = store(a_1113, i14, e14)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[478, 477])).
% 0.20/0.49 tff(480,plain,
% 0.20/0.49 (store(a_1113, i14, e14) = a_1114),
% 0.20/0.49 inference(symmetry,[status(thm)],[479])).
% 0.20/0.49 tff(481,plain,
% 0.20/0.49 (store(store(a_1113, i14, e14), i29, e29) = store(a_1114, i29, e29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[480])).
% 0.20/0.49 tff(482,plain,
% 0.20/0.49 (store(a_1114, i29, e29) = store(store(a_1113, i14, e14), i29, e29)),
% 0.20/0.49 inference(symmetry,[status(thm)],[481])).
% 0.20/0.49 tff(483,plain,
% 0.20/0.49 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), i29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[482, 463])).
% 0.20/0.49 tff(484,plain,
% 0.20/0.49 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.49 inference(transitivity,[status(thm)],[483, 476, 474, 471, 76, 74, 5])).
% 0.20/0.49 tff(485,assumption,(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.49 tff(486,plain,
% 0.20/0.49 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[485])).
% 0.20/0.49 tff(487,plain,
% 0.20/0.49 ((i7 = i29) <=> (i7 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[462])).
% 0.20/0.49 tff(488,plain,
% 0.20/0.49 ((~(i7 = i29)) <=> (~(i7 = sk(a_1098, a_1128)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[487])).
% 0.20/0.49 tff(489,plain,
% 0.20/0.49 ((~(i7 = i29)) <=> (~(i7 = i29))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(490,axiom,(~(i7 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp317')).
% 0.20/0.49 tff(491,plain,
% 0.20/0.49 (~(i7 = i29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.20/0.49 tff(492,plain,
% 0.20/0.49 (~(i7 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[491, 488])).
% 0.20/0.49 tff(493,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1098, a_1128)) | (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1098, a_1128)) | (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(494,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1098, a_1128)) | (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(495,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1098, a_1128)) | (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.20/0.49 tff(496,plain,
% 0.20/0.49 ((i7 = sk(a_1098, a_1128)) | (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[495, 31])).
% 0.20/0.49 tff(497,plain,
% 0.20/0.49 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[496, 492])).
% 0.20/0.49 tff(498,plain,
% 0.20/0.49 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[497])).
% 0.20/0.49 tff(499,plain,
% 0.20/0.49 ((a_1125 = store(a_1124, i23, e23)) <=> (a_1125 = store(a_1124, i23, e23))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(500,axiom,(a_1125 = store(a_1124, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp56')).
% 0.20/0.49 tff(501,plain,
% 0.20/0.49 (a_1125 = store(a_1124, i23, e23)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.20/0.49 tff(502,plain,
% 0.20/0.49 (store(a_1124, i23, e23) = a_1125),
% 0.20/0.49 inference(symmetry,[status(thm)],[501])).
% 0.20/0.49 tff(503,plain,
% 0.20/0.49 (store(store(a_1124, i23, e23), i24, e24) = store(a_1125, i24, e24)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[502])).
% 0.20/0.49 tff(504,plain,
% 0.20/0.49 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[503])).
% 0.20/0.49 tff(505,plain,
% 0.20/0.49 ((i24 = sk(a_1098, a_1128)) <=> (i24 = i29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.49 tff(506,plain,
% 0.20/0.49 ((i24 = i29) <=> (i24 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[505])).
% 0.20/0.49 tff(507,plain,
% 0.20/0.49 ((~(i24 = i29)) <=> (~(i24 = sk(a_1098, a_1128)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[506])).
% 0.20/0.49 tff(508,plain,
% 0.20/0.49 ((~(i24 = i29)) <=> (~(i24 = i29))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(509,axiom,(~(i24 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp79')).
% 0.20/0.49 tff(510,plain,
% 0.20/0.49 (~(i24 = i29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[509, 508])).
% 0.20/0.49 tff(511,plain,
% 0.20/0.49 (~(i24 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[510, 507])).
% 0.20/0.49 tff(512,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1098, a_1128)) | (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1098, a_1128)) | (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(513,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1098, a_1128)) | (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(514,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1098, a_1128)) | (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[513, 512])).
% 0.20/0.49 tff(515,plain,
% 0.20/0.49 ((i24 = sk(a_1098, a_1128)) | (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[514, 31])).
% 0.20/0.49 tff(516,plain,
% 0.20/0.49 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[515, 511])).
% 0.20/0.49 tff(517,plain,
% 0.20/0.49 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[516])).
% 0.20/0.49 tff(518,plain,
% 0.20/0.49 ((a_1124 = store(a_1123, i17, e17)) <=> (a_1124 = store(a_1123, i17, e17))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(519,axiom,(a_1124 = store(a_1123, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp55')).
% 0.20/0.49 tff(520,plain,
% 0.20/0.49 (a_1124 = store(a_1123, i17, e17)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.20/0.49 tff(521,plain,
% 0.20/0.49 (store(a_1123, i17, e17) = a_1124),
% 0.20/0.49 inference(symmetry,[status(thm)],[520])).
% 0.20/0.49 tff(522,plain,
% 0.20/0.49 (store(store(a_1123, i17, e17), i23, e23) = store(a_1124, i23, e23)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[521])).
% 0.20/0.49 tff(523,plain,
% 0.20/0.49 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[522])).
% 0.20/0.49 tff(524,plain,
% 0.20/0.49 ((i23 = sk(a_1098, a_1128)) <=> (i23 = i29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.49 tff(525,plain,
% 0.20/0.49 ((i23 = i29) <=> (i23 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[524])).
% 0.20/0.49 tff(526,plain,
% 0.20/0.49 ((~(i23 = i29)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[525])).
% 0.20/0.49 tff(527,plain,
% 0.20/0.49 ((~(i23 = i29)) <=> (~(i23 = i29))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(528,axiom,(~(i23 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp85')).
% 0.20/0.49 tff(529,plain,
% 0.20/0.49 (~(i23 = i29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[528, 527])).
% 0.20/0.49 tff(530,plain,
% 0.20/0.49 (~(i23 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[529, 526])).
% 0.20/0.49 tff(531,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1098, a_1128)) | (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1098, a_1128)) | (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(532,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1098, a_1128)) | (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(533,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1098, a_1128)) | (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[532, 531])).
% 0.20/0.49 tff(534,plain,
% 0.20/0.49 ((i23 = sk(a_1098, a_1128)) | (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[533, 31])).
% 0.20/0.49 tff(535,plain,
% 0.20/0.49 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[534, 530])).
% 0.20/0.49 tff(536,plain,
% 0.20/0.49 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[535])).
% 0.20/0.49 tff(537,plain,
% 0.20/0.49 ((a_1123 = store(a_1122, i28, e28)) <=> (a_1123 = store(a_1122, i28, e28))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(538,axiom,(a_1123 = store(a_1122, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp54')).
% 0.20/0.49 tff(539,plain,
% 0.20/0.49 (a_1123 = store(a_1122, i28, e28)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[538, 537])).
% 0.20/0.49 tff(540,plain,
% 0.20/0.49 (store(a_1122, i28, e28) = a_1123),
% 0.20/0.49 inference(symmetry,[status(thm)],[539])).
% 0.20/0.49 tff(541,plain,
% 0.20/0.49 (store(store(a_1122, i28, e28), i17, e17) = store(a_1123, i17, e17)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[540])).
% 0.20/0.49 tff(542,plain,
% 0.20/0.49 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[541])).
% 0.20/0.49 tff(543,plain,
% 0.20/0.49 ((i17 = sk(a_1098, a_1128)) <=> (i17 = i29)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.49 tff(544,plain,
% 0.20/0.49 ((i17 = i29) <=> (i17 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(symmetry,[status(thm)],[543])).
% 0.20/0.49 tff(545,plain,
% 0.20/0.49 ((~(i17 = i29)) <=> (~(i17 = sk(a_1098, a_1128)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[544])).
% 0.20/0.49 tff(546,plain,
% 0.20/0.49 ((~(i17 = i29)) <=> (~(i17 = i29))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(547,axiom,(~(i17 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp142')).
% 0.20/0.49 tff(548,plain,
% 0.20/0.49 (~(i17 = i29)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[547, 546])).
% 0.20/0.49 tff(549,plain,
% 0.20/0.49 (~(i17 = sk(a_1098, a_1128))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[548, 545])).
% 0.20/0.49 tff(550,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1098, a_1128)) | (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1098, a_1128)) | (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(551,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1098, a_1128)) | (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(552,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1098, a_1128)) | (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[551, 550])).
% 0.20/0.49 tff(553,plain,
% 0.20/0.49 ((i17 = sk(a_1098, a_1128)) | (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[552, 31])).
% 0.20/0.50 tff(554,plain,
% 0.20/0.50 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[553, 549])).
% 0.20/0.50 tff(555,plain,
% 0.20/0.50 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[554])).
% 0.20/0.50 tff(556,plain,
% 0.20/0.50 ((a_1122 = store(a_1121, i16, e16)) <=> (a_1122 = store(a_1121, i16, e16))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(557,axiom,(a_1122 = store(a_1121, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp53')).
% 0.20/0.50 tff(558,plain,
% 0.20/0.50 (a_1122 = store(a_1121, i16, e16)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.20/0.50 tff(559,plain,
% 0.20/0.50 (store(a_1121, i16, e16) = a_1122),
% 0.20/0.50 inference(symmetry,[status(thm)],[558])).
% 0.20/0.50 tff(560,plain,
% 0.20/0.50 (store(store(a_1121, i16, e16), i28, e28) = store(a_1122, i28, e28)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[559])).
% 0.20/0.50 tff(561,plain,
% 0.20/0.50 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[560])).
% 0.20/0.50 tff(562,plain,
% 0.20/0.50 ((i28 = sk(a_1098, a_1128)) <=> (i28 = i29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.50 tff(563,plain,
% 0.20/0.50 ((i28 = i29) <=> (i28 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[562])).
% 0.20/0.50 tff(564,plain,
% 0.20/0.50 ((~(i28 = i29)) <=> (~(i28 = sk(a_1098, a_1128)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[563])).
% 0.20/0.50 tff(565,plain,
% 0.20/0.50 ((~(i28 = i29)) <=> (~(i28 = i29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(566,axiom,(~(i28 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp65')).
% 0.20/0.50 tff(567,plain,
% 0.20/0.50 (~(i28 = i29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[566, 565])).
% 0.20/0.50 tff(568,plain,
% 0.20/0.50 (~(i28 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[567, 564])).
% 0.20/0.50 tff(569,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1098, a_1128)) | (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(570,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(571,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1098, a_1128)) | (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[570, 569])).
% 0.20/0.50 tff(572,plain,
% 0.20/0.50 ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[571, 31])).
% 0.20/0.50 tff(573,plain,
% 0.20/0.50 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[572, 568])).
% 0.20/0.50 tff(574,plain,
% 0.20/0.50 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[573])).
% 0.20/0.50 tff(575,plain,
% 0.20/0.50 ((a_1121 = store(a_1120, i12, e12)) <=> (a_1121 = store(a_1120, i12, e12))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(576,axiom,(a_1121 = store(a_1120, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp52')).
% 0.20/0.50 tff(577,plain,
% 0.20/0.50 (a_1121 = store(a_1120, i12, e12)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[576, 575])).
% 0.20/0.50 tff(578,plain,
% 0.20/0.50 (store(a_1120, i12, e12) = a_1121),
% 0.20/0.50 inference(symmetry,[status(thm)],[577])).
% 0.20/0.50 tff(579,plain,
% 0.20/0.50 (store(store(a_1120, i12, e12), i16, e16) = store(a_1121, i16, e16)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[578])).
% 0.20/0.50 tff(580,plain,
% 0.20/0.50 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[579])).
% 0.20/0.50 tff(581,plain,
% 0.20/0.50 ((i16 = sk(a_1098, a_1128)) <=> (i16 = i29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.50 tff(582,plain,
% 0.20/0.50 ((i16 = i29) <=> (i16 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[581])).
% 0.20/0.50 tff(583,plain,
% 0.20/0.50 ((~(i16 = i29)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[582])).
% 0.20/0.50 tff(584,plain,
% 0.20/0.50 ((~(i16 = i29)) <=> (~(i16 = i29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(585,axiom,(~(i16 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp155')).
% 0.20/0.50 tff(586,plain,
% 0.20/0.50 (~(i16 = i29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.20/0.50 tff(587,plain,
% 0.20/0.50 (~(i16 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[586, 583])).
% 0.20/0.50 tff(588,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1098, a_1128)) | (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1098, a_1128)) | (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(589,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1098, a_1128)) | (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(590,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1098, a_1128)) | (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[589, 588])).
% 0.20/0.50 tff(591,plain,
% 0.20/0.50 ((i16 = sk(a_1098, a_1128)) | (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[590, 31])).
% 0.20/0.50 tff(592,plain,
% 0.20/0.50 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[591, 587])).
% 0.20/0.50 tff(593,plain,
% 0.20/0.50 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[592])).
% 0.20/0.50 tff(594,plain,
% 0.20/0.50 ((a_1120 = store(a_1119, i3, e3)) <=> (a_1120 = store(a_1119, i3, e3))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(595,axiom,(a_1120 = store(a_1119, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp51')).
% 0.20/0.50 tff(596,plain,
% 0.20/0.50 (a_1120 = store(a_1119, i3, e3)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[595, 594])).
% 0.20/0.50 tff(597,plain,
% 0.20/0.50 (store(a_1119, i3, e3) = a_1120),
% 0.20/0.50 inference(symmetry,[status(thm)],[596])).
% 0.20/0.50 tff(598,plain,
% 0.20/0.50 (store(store(a_1119, i3, e3), i12, e12) = store(a_1120, i12, e12)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[597])).
% 0.20/0.50 tff(599,plain,
% 0.20/0.50 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[598])).
% 0.20/0.50 tff(600,plain,
% 0.20/0.50 ((i12 = sk(a_1098, a_1128)) <=> (i12 = i29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.50 tff(601,plain,
% 0.20/0.50 ((i12 = i29) <=> (i12 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[600])).
% 0.20/0.50 tff(602,plain,
% 0.20/0.50 ((~(i12 = i29)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[601])).
% 0.20/0.50 tff(603,plain,
% 0.20/0.50 ((~(i12 = i29)) <=> (~(i12 = i29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(604,axiom,(~(i12 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp217')).
% 0.20/0.50 tff(605,plain,
% 0.20/0.50 (~(i12 = i29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[604, 603])).
% 0.20/0.50 tff(606,plain,
% 0.20/0.50 (~(i12 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[605, 602])).
% 0.20/0.50 tff(607,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1098, a_1128)) | (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1098, a_1128)) | (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(608,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1098, a_1128)) | (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(609,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1098, a_1128)) | (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[608, 607])).
% 0.20/0.50 tff(610,plain,
% 0.20/0.50 ((i12 = sk(a_1098, a_1128)) | (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[609, 31])).
% 0.20/0.50 tff(611,plain,
% 0.20/0.50 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[610, 606])).
% 0.20/0.50 tff(612,plain,
% 0.20/0.50 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[611])).
% 0.20/0.50 tff(613,plain,
% 0.20/0.50 ((a_1119 = store(a_1118, i27, e27)) <=> (a_1119 = store(a_1118, i27, e27))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(614,axiom,(a_1119 = store(a_1118, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp50')).
% 0.20/0.50 tff(615,plain,
% 0.20/0.50 (a_1119 = store(a_1118, i27, e27)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[614, 613])).
% 0.20/0.50 tff(616,plain,
% 0.20/0.50 (store(a_1118, i27, e27) = a_1119),
% 0.20/0.50 inference(symmetry,[status(thm)],[615])).
% 0.20/0.50 tff(617,plain,
% 0.20/0.50 (store(store(a_1118, i27, e27), i3, e3) = store(a_1119, i3, e3)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[616])).
% 0.20/0.50 tff(618,plain,
% 0.20/0.50 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[617])).
% 0.20/0.50 tff(619,plain,
% 0.20/0.50 ((i3 = sk(a_1098, a_1128)) <=> (i3 = i29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.50 tff(620,plain,
% 0.20/0.50 ((i3 = i29) <=> (i3 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[619])).
% 0.20/0.50 tff(621,plain,
% 0.20/0.50 ((~(i3 = i29)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[620])).
% 0.20/0.50 tff(622,plain,
% 0.20/0.50 ((~(i3 = i29)) <=> (~(i3 = i29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(623,axiom,(~(i3 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp415')).
% 0.20/0.50 tff(624,plain,
% 0.20/0.50 (~(i3 = i29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[623, 622])).
% 0.20/0.50 tff(625,plain,
% 0.20/0.50 (~(i3 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[624, 621])).
% 0.20/0.50 tff(626,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1098, a_1128)) | (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1098, a_1128)) | (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(627,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1098, a_1128)) | (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(628,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1098, a_1128)) | (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[627, 626])).
% 0.20/0.50 tff(629,plain,
% 0.20/0.50 ((i3 = sk(a_1098, a_1128)) | (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[628, 31])).
% 0.20/0.50 tff(630,plain,
% 0.20/0.50 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[629, 625])).
% 0.20/0.50 tff(631,plain,
% 0.20/0.50 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[630])).
% 0.20/0.50 tff(632,plain,
% 0.20/0.50 ((a_1118 = store(a_1117, i22, e22)) <=> (a_1118 = store(a_1117, i22, e22))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(633,axiom,(a_1118 = store(a_1117, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp49')).
% 0.20/0.50 tff(634,plain,
% 0.20/0.50 (a_1118 = store(a_1117, i22, e22)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[633, 632])).
% 0.20/0.50 tff(635,plain,
% 0.20/0.50 (store(a_1117, i22, e22) = a_1118),
% 0.20/0.50 inference(symmetry,[status(thm)],[634])).
% 0.20/0.50 tff(636,plain,
% 0.20/0.50 (store(store(a_1117, i22, e22), i27, e27) = store(a_1118, i27, e27)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[635])).
% 0.20/0.50 tff(637,plain,
% 0.20/0.50 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[636])).
% 0.20/0.50 tff(638,plain,
% 0.20/0.50 ((i27 = sk(a_1098, a_1128)) <=> (i27 = i29)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.50 tff(639,plain,
% 0.20/0.50 ((i27 = i29) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(symmetry,[status(thm)],[638])).
% 0.20/0.50 tff(640,plain,
% 0.20/0.50 ((~(i27 = i29)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[639])).
% 0.20/0.50 tff(641,plain,
% 0.20/0.50 ((~(i27 = i29)) <=> (~(i27 = i29))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(642,axiom,(~(i27 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp67')).
% 0.20/0.50 tff(643,plain,
% 0.20/0.50 (~(i27 = i29)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[642, 641])).
% 0.20/0.50 tff(644,plain,
% 0.20/0.50 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[643, 640])).
% 0.20/0.50 tff(645,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1098, a_1128)) | (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(646,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(647,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1098, a_1128)) | (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[646, 645])).
% 0.20/0.51 tff(648,plain,
% 0.20/0.51 ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[647, 31])).
% 0.20/0.51 tff(649,plain,
% 0.20/0.51 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[648, 644])).
% 0.20/0.51 tff(650,plain,
% 0.20/0.51 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[649])).
% 0.20/0.51 tff(651,plain,
% 0.20/0.51 ((a_1117 = store(a_1116, i26, e26)) <=> (a_1117 = store(a_1116, i26, e26))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(652,axiom,(a_1117 = store(a_1116, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp48')).
% 0.20/0.51 tff(653,plain,
% 0.20/0.51 (a_1117 = store(a_1116, i26, e26)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[652, 651])).
% 0.20/0.51 tff(654,plain,
% 0.20/0.51 (store(a_1116, i26, e26) = a_1117),
% 0.20/0.51 inference(symmetry,[status(thm)],[653])).
% 0.20/0.51 tff(655,plain,
% 0.20/0.51 (store(store(a_1116, i26, e26), i22, e22) = store(a_1117, i22, e22)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[654])).
% 0.20/0.51 tff(656,plain,
% 0.20/0.51 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[655])).
% 0.20/0.51 tff(657,plain,
% 0.20/0.51 ((i22 = sk(a_1098, a_1128)) <=> (i22 = i29)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.51 tff(658,plain,
% 0.20/0.51 ((i22 = i29) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[657])).
% 0.20/0.51 tff(659,plain,
% 0.20/0.51 ((~(i22 = i29)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[658])).
% 0.20/0.51 tff(660,plain,
% 0.20/0.51 ((~(i22 = i29)) <=> (~(i22 = i29))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(661,axiom,(~(i22 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp92')).
% 0.20/0.51 tff(662,plain,
% 0.20/0.51 (~(i22 = i29)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[661, 660])).
% 0.20/0.51 tff(663,plain,
% 0.20/0.51 (~(i22 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[662, 659])).
% 0.20/0.51 tff(664,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1098, a_1128)) | (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(665,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(666,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1098, a_1128)) | (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.20/0.51 tff(667,plain,
% 0.20/0.51 ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[666, 31])).
% 0.20/0.51 tff(668,plain,
% 0.20/0.51 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[667, 663])).
% 0.20/0.51 tff(669,plain,
% 0.20/0.51 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[668])).
% 0.20/0.51 tff(670,plain,
% 0.20/0.51 ((a_1116 = store(a_1115, i5, e5)) <=> (a_1116 = store(a_1115, i5, e5))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(671,axiom,(a_1116 = store(a_1115, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp47')).
% 0.20/0.51 tff(672,plain,
% 0.20/0.51 (a_1116 = store(a_1115, i5, e5)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[671, 670])).
% 0.20/0.51 tff(673,plain,
% 0.20/0.51 (store(a_1115, i5, e5) = a_1116),
% 0.20/0.51 inference(symmetry,[status(thm)],[672])).
% 0.20/0.51 tff(674,plain,
% 0.20/0.51 (store(store(a_1115, i5, e5), i26, e26) = store(a_1116, i26, e26)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[673])).
% 0.20/0.51 tff(675,plain,
% 0.20/0.51 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[674])).
% 0.20/0.51 tff(676,plain,
% 0.20/0.51 ((i26 = sk(a_1098, a_1128)) <=> (i26 = i29)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[463])).
% 0.20/0.51 tff(677,plain,
% 0.20/0.51 ((i26 = i29) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[676])).
% 0.20/0.51 tff(678,plain,
% 0.20/0.51 ((~(i26 = i29)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[677])).
% 0.20/0.51 tff(679,plain,
% 0.20/0.51 ((~(i26 = i29)) <=> (~(i26 = i29))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(680,axiom,(~(i26 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp70')).
% 0.20/0.51 tff(681,plain,
% 0.20/0.51 (~(i26 = i29)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.20/0.51 tff(682,plain,
% 0.20/0.51 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[681, 678])).
% 0.20/0.51 tff(683,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1098, a_1128)) | (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(684,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(685,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1098, a_1128)) | (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[684, 683])).
% 0.20/0.51 tff(686,plain,
% 0.20/0.51 ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[685, 31])).
% 0.20/0.51 tff(687,plain,
% 0.20/0.51 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[686, 682])).
% 0.20/0.51 tff(688,plain,
% 0.20/0.51 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[687])).
% 0.20/0.51 tff(689,plain,
% 0.20/0.51 ((a_1115 = store(a_1114, i29, e29)) <=> (a_1115 = store(a_1114, i29, e29))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(690,axiom,(a_1115 = store(a_1114, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp46')).
% 0.20/0.51 tff(691,plain,
% 0.20/0.51 (a_1115 = store(a_1114, i29, e29)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[690, 689])).
% 0.20/0.51 tff(692,plain,
% 0.20/0.51 (store(a_1114, i29, e29) = a_1115),
% 0.20/0.51 inference(symmetry,[status(thm)],[691])).
% 0.20/0.51 tff(693,plain,
% 0.20/0.51 (store(store(a_1114, i29, e29), i5, e5) = store(a_1115, i5, e5)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[692])).
% 0.20/0.51 tff(694,plain,
% 0.20/0.51 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[693])).
% 0.20/0.51 tff(695,plain,
% 0.20/0.51 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.51 inference(transitivity,[status(thm)],[694, 688, 675, 669, 656, 650, 637, 631, 618, 612, 599, 593, 580, 574, 561, 555, 542, 536, 523, 517, 504, 498, 459, 486, 25, 14])).
% 0.20/0.51 tff(696,plain,
% 0.20/0.51 ((select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[695, 484])).
% 0.20/0.51 tff(697,plain,
% 0.20/0.51 ((select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.51 inference(transitivity,[status(thm)],[696, 1])).
% 0.20/0.51 tff(698,plain,
% 0.20/0.51 ((e_1130 = e_1131) <=> (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(symmetry,[status(thm)],[697])).
% 0.20/0.51 tff(699,plain,
% 0.20/0.51 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[698])).
% 0.20/0.51 tff(700,plain,
% 0.20/0.51 (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[432, 699])).
% 0.20/0.51 tff(701,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1098, a_1128)) | (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(702,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(703,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1098, a_1128)) | (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[702, 701])).
% 0.20/0.51 tff(704,plain,
% 0.20/0.51 ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[703, 31])).
% 0.20/0.51 tff(705,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[704, 700, 470])).
% 0.20/0.51 tff(706,plain,((~(i29 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(707,plain,
% 0.20/0.51 (~(i29 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[706, 452, 36])).
% 0.20/0.51 tff(708,plain,
% 0.20/0.51 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[94, 707])).
% 0.20/0.51 tff(709,plain,
% 0.20/0.51 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[708])).
% 0.20/0.51 tff(710,assumption,(i28 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.51 tff(711,plain,
% 0.20/0.51 ((i17 = i28) <=> (i17 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.51 tff(712,plain,
% 0.20/0.51 ((~(i17 = i28)) <=> (~(i17 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[711])).
% 0.20/0.51 tff(713,plain,
% 0.20/0.51 ((~(i17 = i28)) <=> (~(i17 = i28))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(714,axiom,(~(i17 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp143')).
% 0.20/0.51 tff(715,plain,
% 0.20/0.51 (~(i17 = i28)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.20/0.51 tff(716,plain,
% 0.20/0.51 (~(i17 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[715, 712])).
% 0.20/0.51 tff(717,plain,
% 0.20/0.51 (~(i10 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[446, 75])).
% 0.20/0.51 tff(718,plain,
% 0.20/0.51 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[451, 717])).
% 0.20/0.51 tff(719,plain,
% 0.20/0.51 (~(i29 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[706, 718, 75])).
% 0.20/0.51 tff(720,plain,
% 0.20/0.51 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[94, 719])).
% 0.20/0.51 tff(721,plain,
% 0.20/0.51 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[720])).
% 0.20/0.51 tff(722,plain,
% 0.20/0.51 (select(store(store(a_1094, i27, e27), i28, e28), i28) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[101, 710])).
% 0.20/0.51 tff(723,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1094, i27, e27), i28, e28), i28) = e28)),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(724,plain,
% 0.20/0.51 (select(store(store(a_1094, i27, e27), i28, e28), i28) = e28),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[723, 49])).
% 0.20/0.51 tff(725,plain,
% 0.20/0.51 (e28 = select(store(store(a_1094, i27, e27), i28, e28), i28)),
% 0.20/0.51 inference(symmetry,[status(thm)],[724])).
% 0.20/0.51 tff(726,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1121, i16, e16), i28, e28), i28) = e28)),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(727,plain,
% 0.20/0.51 (select(store(store(a_1121, i16, e16), i28, e28), i28) = e28),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[726, 49])).
% 0.20/0.51 tff(728,plain,
% 0.20/0.51 (sk(a_1098, a_1128) = i28),
% 0.20/0.51 inference(symmetry,[status(thm)],[710])).
% 0.20/0.51 tff(729,plain,
% 0.20/0.51 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), i28)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[728])).
% 0.20/0.51 tff(730,plain,
% 0.20/0.51 (store(a_1122, i28, e28) = store(store(a_1121, i16, e16), i28, e28)),
% 0.20/0.51 inference(symmetry,[status(thm)],[560])).
% 0.20/0.51 tff(731,plain,
% 0.20/0.51 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[730])).
% 0.20/0.51 tff(732,plain,
% 0.20/0.51 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.51 inference(transitivity,[status(thm)],[731, 729, 727, 725, 722, 721, 82, 76, 74, 5])).
% 0.20/0.51 tff(733,plain,
% 0.20/0.51 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[718])).
% 0.20/0.51 tff(734,plain,
% 0.20/0.51 ((i7 = i28) <=> (i7 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.51 tff(735,plain,
% 0.20/0.51 ((~(i7 = i28)) <=> (~(i7 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[734])).
% 0.20/0.51 tff(736,plain,
% 0.20/0.51 ((~(i7 = i28)) <=> (~(i7 = i28))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(737,axiom,(~(i7 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp318')).
% 0.20/0.51 tff(738,plain,
% 0.20/0.51 (~(i7 = i28)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[737, 736])).
% 0.20/0.51 tff(739,plain,
% 0.20/0.51 (~(i7 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[738, 735])).
% 0.20/0.51 tff(740,plain,
% 0.20/0.51 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[496, 739])).
% 0.20/0.51 tff(741,plain,
% 0.20/0.51 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[740])).
% 0.20/0.51 tff(742,plain,
% 0.20/0.51 ((i24 = i28) <=> (i24 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.51 tff(743,plain,
% 0.20/0.51 ((~(i24 = i28)) <=> (~(i24 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[742])).
% 0.20/0.51 tff(744,plain,
% 0.20/0.51 ((~(i24 = i28)) <=> (~(i24 = i28))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(745,axiom,(~(i24 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp80')).
% 0.20/0.51 tff(746,plain,
% 0.20/0.51 (~(i24 = i28)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[745, 744])).
% 0.20/0.51 tff(747,plain,
% 0.20/0.51 (~(i24 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[746, 743])).
% 0.20/0.51 tff(748,plain,
% 0.20/0.51 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[514, 31, 747])).
% 0.20/0.51 tff(749,plain,
% 0.20/0.51 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.51 inference(symmetry,[status(thm)],[748])).
% 0.20/0.51 tff(750,plain,
% 0.20/0.51 ((i23 = i28) <=> (i23 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.51 tff(751,plain,
% 0.20/0.51 ((~(i23 = i28)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[750])).
% 0.20/0.51 tff(752,plain,
% 0.20/0.51 ((~(i23 = i28)) <=> (~(i23 = i28))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(753,axiom,(~(i23 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp86')).
% 0.20/0.51 tff(754,plain,
% 0.20/0.51 (~(i23 = i28)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[753, 752])).
% 0.20/0.51 tff(755,plain,
% 0.20/0.51 (~(i23 = sk(a_1098, a_1128))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[754, 751])).
% 0.20/0.51 tff(756,plain,
% 0.20/0.51 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[533, 31, 755])).
% 0.20/0.51 tff(757,plain,
% 0.20/0.52 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[756])).
% 0.20/0.52 tff(758,plain,
% 0.20/0.52 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.52 inference(transitivity,[status(thm)],[542, 757, 523, 749, 504, 741, 459, 733, 25, 14])).
% 0.20/0.52 tff(759,plain,
% 0.20/0.52 ((select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[758, 732])).
% 0.20/0.52 tff(760,plain,
% 0.20/0.52 ((select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.52 inference(transitivity,[status(thm)],[759, 1])).
% 0.20/0.52 tff(761,plain,
% 0.20/0.52 ((e_1130 = e_1131) <=> (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.52 inference(symmetry,[status(thm)],[760])).
% 0.20/0.52 tff(762,plain,
% 0.20/0.52 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[761])).
% 0.20/0.52 tff(763,plain,
% 0.20/0.52 (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[432, 762])).
% 0.20/0.52 tff(764,plain,
% 0.20/0.52 ($false),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[552, 31, 763, 716])).
% 0.20/0.52 tff(765,plain,((~(i28 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.52 tff(766,plain,
% 0.20/0.52 (~(i28 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[765, 36])).
% 0.20/0.52 tff(767,plain,
% 0.20/0.52 ((i28 = sk(a_1098, a_1128)) | (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[113, 31])).
% 0.20/0.52 tff(768,plain,
% 0.20/0.52 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[767, 766])).
% 0.20/0.52 tff(769,plain,
% 0.20/0.52 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[768])).
% 0.20/0.52 tff(770,assumption,(~(i17 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(771,assumption,(i7 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.52 tff(772,plain,
% 0.20/0.52 (select(store(store(a_1125, i24, e24), i7, e7), i7) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[458, 771])).
% 0.20/0.52 tff(773,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1125, i24, e24), i7, e7), i7) = e7)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(774,plain,
% 0.20/0.52 (select(store(store(a_1125, i24, e24), i7, e7), i7) = e7),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[773, 49])).
% 0.20/0.52 tff(775,plain,
% 0.20/0.52 (e7 = select(store(store(a_1125, i24, e24), i7, e7), i7)),
% 0.20/0.52 inference(symmetry,[status(thm)],[774])).
% 0.20/0.52 tff(776,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1073, i6, e6), i7, e7), i7) = e7)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(777,plain,
% 0.20/0.52 (select(store(store(a_1073, i6, e6), i7, e7), i7) = e7),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[776, 49])).
% 0.20/0.52 tff(778,plain,
% 0.20/0.52 (sk(a_1098, a_1128) = i7),
% 0.20/0.52 inference(symmetry,[status(thm)],[771])).
% 0.20/0.52 tff(779,plain,
% 0.20/0.52 (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1073, i6, e6), i7, e7), i7)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[778])).
% 0.20/0.52 tff(780,plain,
% 0.20/0.52 ((a_1074 = store(a_1073, i6, e6)) <=> (a_1074 = store(a_1073, i6, e6))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(781,axiom,(a_1074 = store(a_1073, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp5')).
% 0.20/0.52 tff(782,plain,
% 0.20/0.52 (a_1074 = store(a_1073, i6, e6)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.20/0.52 tff(783,plain,
% 0.20/0.52 (store(a_1073, i6, e6) = a_1074),
% 0.20/0.52 inference(symmetry,[status(thm)],[782])).
% 0.20/0.52 tff(784,plain,
% 0.20/0.52 (store(store(a_1073, i6, e6), i7, e7) = store(a_1074, i7, e7)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[783])).
% 0.20/0.52 tff(785,plain,
% 0.20/0.52 (store(a_1074, i7, e7) = store(store(a_1073, i6, e6), i7, e7)),
% 0.20/0.52 inference(symmetry,[status(thm)],[784])).
% 0.20/0.52 tff(786,plain,
% 0.20/0.52 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[785])).
% 0.20/0.52 tff(787,plain,
% 0.20/0.52 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.52 inference(transitivity,[status(thm)],[786, 779, 777, 775, 772, 733, 25, 14])).
% 0.20/0.52 tff(788,plain,
% 0.20/0.52 (~(i28 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[765, 75])).
% 0.20/0.52 tff(789,plain,
% 0.20/0.52 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[767, 788])).
% 0.20/0.52 tff(790,plain,
% 0.20/0.52 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[789])).
% 0.20/0.52 tff(791,plain,
% 0.20/0.52 ((i7 = i27) <=> (sk(a_1098, a_1128) = i27)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[771])).
% 0.20/0.52 tff(792,plain,
% 0.20/0.52 ((i7 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(transitivity,[status(thm)],[791, 122])).
% 0.20/0.52 tff(793,plain,
% 0.20/0.52 ((~(i7 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[792])).
% 0.20/0.52 tff(794,plain,
% 0.20/0.52 ((~(i7 = i27)) <=> (~(i7 = i27))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(795,axiom,(~(i7 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp319')).
% 0.20/0.52 tff(796,plain,
% 0.20/0.52 (~(i7 = i27)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[795, 794])).
% 0.20/0.52 tff(797,plain,
% 0.20/0.52 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[796, 793])).
% 0.20/0.52 tff(798,plain,
% 0.20/0.52 ((i27 = sk(a_1098, a_1128)) | (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[132, 31])).
% 0.20/0.52 tff(799,plain,
% 0.20/0.52 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[798, 797])).
% 0.20/0.52 tff(800,plain,
% 0.20/0.52 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[799])).
% 0.20/0.52 tff(801,plain,
% 0.20/0.52 ((i7 = i26) <=> (sk(a_1098, a_1128) = i26)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[771])).
% 0.20/0.52 tff(802,plain,
% 0.20/0.52 ((i7 = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(transitivity,[status(thm)],[801, 141])).
% 0.20/0.52 tff(803,plain,
% 0.20/0.52 ((~(i7 = i26)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[802])).
% 0.20/0.52 tff(804,plain,
% 0.20/0.52 ((~(i7 = i26)) <=> (~(i7 = i26))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(805,axiom,(~(i7 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp320')).
% 0.20/0.52 tff(806,plain,
% 0.20/0.52 (~(i7 = i26)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[805, 804])).
% 0.20/0.52 tff(807,plain,
% 0.20/0.52 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[806, 803])).
% 0.20/0.52 tff(808,plain,
% 0.20/0.52 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[151, 31, 807])).
% 0.20/0.52 tff(809,plain,
% 0.20/0.52 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[808])).
% 0.20/0.52 tff(810,assumption,(i25 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.52 tff(811,plain,
% 0.20/0.52 ((i7 = i25) <=> (i7 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[810])).
% 0.20/0.52 tff(812,plain,
% 0.20/0.52 ((~(i7 = i25)) <=> (~(i7 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[811])).
% 0.20/0.52 tff(813,plain,
% 0.20/0.52 ((~(i7 = i25)) <=> (~(i7 = i25))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(814,axiom,(~(i7 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp321')).
% 0.20/0.52 tff(815,plain,
% 0.20/0.52 (~(i7 = i25)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[814, 813])).
% 0.20/0.52 tff(816,plain,
% 0.20/0.52 (~(i7 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[815, 812])).
% 0.20/0.52 tff(817,plain,
% 0.20/0.52 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[496, 816])).
% 0.20/0.52 tff(818,plain,
% 0.20/0.52 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[552, 31, 770])).
% 0.20/0.52 tff(819,plain,
% 0.20/0.52 ((i25 = i27) <=> (sk(a_1098, a_1128) = i27)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[810])).
% 0.20/0.52 tff(820,plain,
% 0.20/0.52 ((i25 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(transitivity,[status(thm)],[819, 122])).
% 0.20/0.52 tff(821,plain,
% 0.20/0.52 ((~(i25 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[820])).
% 0.20/0.52 tff(822,plain,
% 0.20/0.52 ((~(i25 = i27)) <=> (~(i25 = i27))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(823,axiom,(~(i25 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp76')).
% 0.20/0.52 tff(824,plain,
% 0.20/0.52 (~(i25 = i27)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[823, 822])).
% 0.20/0.52 tff(825,plain,
% 0.20/0.52 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[824, 821])).
% 0.20/0.52 tff(826,plain,
% 0.20/0.52 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[571, 31, 788])).
% 0.20/0.52 tff(827,plain,
% 0.20/0.52 (sk(a_1098, a_1128) = i25),
% 0.20/0.52 inference(symmetry,[status(thm)],[810])).
% 0.20/0.52 tff(828,plain,
% 0.20/0.52 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i25)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.52 tff(829,plain,
% 0.20/0.52 ((i18 = i25) <=> (i18 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[828])).
% 0.20/0.52 tff(830,plain,
% 0.20/0.52 ((~(i18 = i25)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[829])).
% 0.20/0.52 tff(831,plain,
% 0.20/0.52 ((~(i18 = i25)) <=> (~(i18 = i25))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(832,axiom,(~(i18 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp134')).
% 0.20/0.52 tff(833,plain,
% 0.20/0.52 (~(i18 = i25)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[832, 831])).
% 0.20/0.52 tff(834,plain,
% 0.20/0.52 (~(i18 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[833, 830])).
% 0.20/0.52 tff(835,plain,
% 0.20/0.52 (~(i29 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[706, 485, 75])).
% 0.20/0.52 tff(836,plain,
% 0.20/0.52 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[94, 835])).
% 0.20/0.52 tff(837,plain,
% 0.20/0.52 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[836])).
% 0.20/0.52 tff(838,assumption,(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(839,plain,
% 0.20/0.52 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[838])).
% 0.20/0.52 tff(840,assumption,(~(i27 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(841,plain,
% 0.20/0.52 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[798, 840])).
% 0.20/0.52 tff(842,plain,
% 0.20/0.52 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[841])).
% 0.20/0.52 tff(843,assumption,(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(844,assumption,(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(845,assumption,(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.52 tff(846,assumption,(i26 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.52 tff(847,plain,
% 0.20/0.52 (sk(a_1098, a_1128) = i26),
% 0.20/0.52 inference(symmetry,[status(thm)],[846])).
% 0.20/0.52 tff(848,plain,
% 0.20/0.52 ((i22 = sk(a_1098, a_1128)) <=> (i22 = i26)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[847])).
% 0.20/0.52 tff(849,plain,
% 0.20/0.52 ((i22 = i26) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[848])).
% 0.20/0.52 tff(850,plain,
% 0.20/0.52 ((~(i22 = i26)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[849])).
% 0.20/0.52 tff(851,plain,
% 0.20/0.52 ((~(i22 = i26)) <=> (~(i22 = i26))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(852,axiom,(~(i22 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp95')).
% 0.20/0.52 tff(853,plain,
% 0.20/0.52 (~(i22 = i26)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[852, 851])).
% 0.20/0.52 tff(854,plain,
% 0.20/0.52 (~(i22 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[853, 850])).
% 0.20/0.52 tff(855,plain,
% 0.20/0.52 (select(store(store(a_1092, i25, e25), i26, e26), i26) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[139, 846])).
% 0.20/0.52 tff(856,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1092, i25, e25), i26, e26), i26) = e26)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(857,plain,
% 0.20/0.52 (select(store(store(a_1092, i25, e25), i26, e26), i26) = e26),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[856, 49])).
% 0.20/0.52 tff(858,plain,
% 0.20/0.52 (e26 = select(store(store(a_1092, i25, e25), i26, e26), i26)),
% 0.20/0.52 inference(symmetry,[status(thm)],[857])).
% 0.20/0.52 tff(859,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1115, i5, e5), i26, e26), i26) = e26)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(860,plain,
% 0.20/0.52 (select(store(store(a_1115, i5, e5), i26, e26), i26) = e26),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[859, 49])).
% 0.20/0.52 tff(861,plain,
% 0.20/0.52 (store(a_1116, i26, e26) = store(store(a_1115, i5, e5), i26, e26)),
% 0.20/0.52 inference(symmetry,[status(thm)],[674])).
% 0.20/0.52 tff(862,plain,
% 0.20/0.52 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), i26)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[861, 847])).
% 0.20/0.52 tff(863,plain,
% 0.20/0.52 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.52 inference(transitivity,[status(thm)],[862, 860, 858, 855, 842, 121, 839, 102, 837, 82, 76, 74, 5])).
% 0.20/0.52 tff(864,plain,
% 0.20/0.52 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[843])).
% 0.20/0.52 tff(865,plain,
% 0.20/0.52 ((i25 = i24) <=> (i24 = i25)),
% 0.20/0.52 inference(commutativity,[status(thm)],[])).
% 0.20/0.52 tff(866,assumption,(i24 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.52 tff(867,plain,
% 0.20/0.52 (sk(a_1098, a_1128) = i24),
% 0.20/0.52 inference(symmetry,[status(thm)],[866])).
% 0.20/0.52 tff(868,plain,
% 0.20/0.52 ((i25 = sk(a_1098, a_1128)) <=> (i25 = i24)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[867])).
% 0.20/0.52 tff(869,plain,
% 0.20/0.52 ((i25 = sk(a_1098, a_1128)) <=> (i24 = i25)),
% 0.20/0.52 inference(transitivity,[status(thm)],[868, 865])).
% 0.20/0.52 tff(870,plain,
% 0.20/0.52 ((i24 = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(symmetry,[status(thm)],[869])).
% 0.20/0.52 tff(871,plain,
% 0.20/0.52 ((~(i24 = i25)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[870])).
% 0.20/0.52 tff(872,plain,
% 0.20/0.52 ((~(i24 = i25)) <=> (~(i24 = i25))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(873,axiom,(~(i24 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp83')).
% 0.20/0.52 tff(874,plain,
% 0.20/0.52 (~(i24 = i25)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[873, 872])).
% 0.20/0.52 tff(875,plain,
% 0.20/0.52 (~(i25 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[874, 871])).
% 0.20/0.52 tff(876,plain,
% 0.20/0.52 (select(store(store(a_1124, i23, e23), i24, e24), i24) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[503, 866])).
% 0.20/0.52 tff(877,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1124, i23, e23), i24, e24), i24) = e24)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(878,plain,
% 0.20/0.52 (select(store(store(a_1124, i23, e23), i24, e24), i24) = e24),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[877, 49])).
% 0.20/0.52 tff(879,plain,
% 0.20/0.52 (e24 = select(store(store(a_1124, i23, e23), i24, e24), i24)),
% 0.20/0.52 inference(symmetry,[status(thm)],[878])).
% 0.20/0.52 tff(880,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1090, i23, e23), i24, e24), i24) = e24)),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(881,plain,
% 0.20/0.52 (select(store(store(a_1090, i23, e23), i24, e24), i24) = e24),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[880, 49])).
% 0.20/0.52 tff(882,plain,
% 0.20/0.52 (store(a_1091, i24, e24) = store(store(a_1090, i23, e23), i24, e24)),
% 0.20/0.52 inference(symmetry,[status(thm)],[177])).
% 0.20/0.52 tff(883,plain,
% 0.20/0.52 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), i24)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[882, 867])).
% 0.20/0.52 tff(884,plain,
% 0.20/0.52 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.52 inference(transitivity,[status(thm)],[883, 881, 879, 876, 864, 459, 486, 25, 14])).
% 0.20/0.52 tff(885,plain,
% 0.20/0.52 ((i24 = i28) <=> (sk(a_1098, a_1128) = i28)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[866])).
% 0.20/0.52 tff(886,plain,
% 0.20/0.52 ((i24 = i28) <=> (i28 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(transitivity,[status(thm)],[885, 103])).
% 0.20/0.52 tff(887,plain,
% 0.20/0.52 ((~(i24 = i28)) <=> (~(i28 = sk(a_1098, a_1128)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[886])).
% 0.20/0.52 tff(888,plain,
% 0.20/0.52 (~(i28 = sk(a_1098, a_1128))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[746, 887])).
% 0.20/0.52 tff(889,plain,
% 0.20/0.52 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[767, 888])).
% 0.20/0.53 tff(890,plain,
% 0.20/0.53 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[889])).
% 0.20/0.53 tff(891,plain,
% 0.20/0.53 ((i27 = i24) <=> (i24 = i27)),
% 0.20/0.53 inference(commutativity,[status(thm)],[])).
% 0.20/0.53 tff(892,plain,
% 0.20/0.53 ((i27 = sk(a_1098, a_1128)) <=> (i27 = i24)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[867])).
% 0.20/0.53 tff(893,plain,
% 0.20/0.53 ((i27 = sk(a_1098, a_1128)) <=> (i24 = i27)),
% 0.20/0.53 inference(transitivity,[status(thm)],[892, 891])).
% 0.20/0.53 tff(894,plain,
% 0.20/0.53 ((i24 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[893])).
% 0.20/0.53 tff(895,plain,
% 0.20/0.53 ((~(i24 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[894])).
% 0.20/0.53 tff(896,plain,
% 0.20/0.53 ((~(i24 = i27)) <=> (~(i24 = i27))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(897,axiom,(~(i24 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp81')).
% 0.20/0.53 tff(898,plain,
% 0.20/0.53 (~(i24 = i27)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[897, 896])).
% 0.20/0.53 tff(899,plain,
% 0.20/0.53 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[898, 895])).
% 0.20/0.53 tff(900,plain,
% 0.20/0.53 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[798, 899])).
% 0.20/0.53 tff(901,plain,
% 0.20/0.53 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[900])).
% 0.20/0.53 tff(902,plain,
% 0.20/0.53 ((i26 = i24) <=> (i24 = i26)),
% 0.20/0.53 inference(commutativity,[status(thm)],[])).
% 0.20/0.53 tff(903,plain,
% 0.20/0.53 ((i26 = sk(a_1098, a_1128)) <=> (i26 = i24)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[867])).
% 0.20/0.53 tff(904,plain,
% 0.20/0.53 ((i26 = sk(a_1098, a_1128)) <=> (i24 = i26)),
% 0.20/0.53 inference(transitivity,[status(thm)],[903, 902])).
% 0.20/0.53 tff(905,plain,
% 0.20/0.53 ((i24 = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[904])).
% 0.20/0.53 tff(906,plain,
% 0.20/0.53 ((~(i24 = i26)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[905])).
% 0.20/0.53 tff(907,plain,
% 0.20/0.53 ((~(i24 = i26)) <=> (~(i24 = i26))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(908,axiom,(~(i24 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp82')).
% 0.20/0.53 tff(909,plain,
% 0.20/0.53 (~(i24 = i26)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.20/0.53 tff(910,plain,
% 0.20/0.53 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[909, 906])).
% 0.20/0.53 tff(911,plain,
% 0.20/0.53 ((i26 = sk(a_1098, a_1128)) | (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[151, 31])).
% 0.20/0.53 tff(912,plain,
% 0.20/0.53 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[911, 910])).
% 0.20/0.53 tff(913,plain,
% 0.20/0.53 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[912])).
% 0.20/0.53 tff(914,plain,
% 0.20/0.53 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.53 inference(transitivity,[status(thm)],[159, 913, 140, 901, 121, 890, 102, 837, 82, 76, 74, 5])).
% 0.20/0.53 tff(915,plain,
% 0.20/0.53 ((select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[914, 884])).
% 0.20/0.53 tff(916,plain,
% 0.20/0.53 ((e_1130 = e_1131) <=> (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(symmetry,[status(thm)],[915])).
% 0.20/0.53 tff(917,plain,
% 0.20/0.53 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[916])).
% 0.20/0.53 tff(918,plain,
% 0.20/0.53 (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[432, 917])).
% 0.20/0.53 tff(919,plain,
% 0.20/0.53 ((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[170, 31])).
% 0.20/0.53 tff(920,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[919, 918, 875])).
% 0.20/0.53 tff(921,plain,((~(i24 = sk(a_1098, a_1128))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(922,plain,
% 0.20/0.53 (~(i24 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[921, 843, 485, 75])).
% 0.20/0.53 tff(923,plain,
% 0.20/0.53 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[515, 922])).
% 0.20/0.53 tff(924,plain,
% 0.20/0.53 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[923])).
% 0.20/0.53 tff(925,plain,
% 0.20/0.53 (select(a_1128, i_1129) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[41, 8])).
% 0.20/0.53 tff(926,plain,
% 0.20/0.53 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(a_1128, i_1129)),
% 0.20/0.53 inference(symmetry,[status(thm)],[925])).
% 0.20/0.53 tff(927,plain,
% 0.20/0.53 (store(a_1126, i7, e7) = store(store(a_1125, i24, e24), i7, e7)),
% 0.20/0.53 inference(symmetry,[status(thm)],[458])).
% 0.20/0.53 tff(928,plain,
% 0.20/0.53 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[927])).
% 0.20/0.53 tff(929,plain,
% 0.20/0.53 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[928])).
% 0.20/0.53 tff(930,plain,
% 0.20/0.53 (store(a_1125, i24, e24) = store(store(a_1124, i23, e23), i24, e24)),
% 0.20/0.53 inference(symmetry,[status(thm)],[503])).
% 0.20/0.53 tff(931,plain,
% 0.20/0.53 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[930])).
% 0.20/0.53 tff(932,plain,
% 0.20/0.53 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[931])).
% 0.20/0.53 tff(933,assumption,(i23 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.20/0.53 tff(934,plain,
% 0.20/0.53 (sk(a_1098, a_1128) = i23),
% 0.20/0.53 inference(symmetry,[status(thm)],[933])).
% 0.20/0.53 tff(935,plain,
% 0.20/0.53 (store(a_1124, i23, e23) = store(store(a_1123, i17, e17), i23, e23)),
% 0.20/0.53 inference(symmetry,[status(thm)],[522])).
% 0.20/0.53 tff(936,plain,
% 0.20/0.53 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), i23)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[935, 934])).
% 0.20/0.53 tff(937,plain,
% 0.20/0.53 (select(store(store(a_1123, i17, e17), i23, e23), i23) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[936])).
% 0.20/0.53 tff(938,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1123, i17, e17), i23, e23), i23) = e23)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(939,plain,
% 0.20/0.53 (select(store(store(a_1123, i17, e17), i23, e23), i23) = e23),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[938, 49])).
% 0.20/0.53 tff(940,plain,
% 0.20/0.53 (e23 = select(store(store(a_1123, i17, e17), i23, e23), i23)),
% 0.20/0.53 inference(symmetry,[status(thm)],[939])).
% 0.20/0.53 tff(941,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1089, i22, e22), i23, e23), i23) = e23)),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(942,plain,
% 0.20/0.53 (select(store(store(a_1089, i22, e22), i23, e23), i23) = e23),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[941, 49])).
% 0.20/0.53 tff(943,plain,
% 0.20/0.53 (select(store(store(a_1089, i22, e22), i23, e23), i23) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[196, 933])).
% 0.20/0.53 tff(944,plain,
% 0.20/0.53 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), i23)),
% 0.20/0.53 inference(symmetry,[status(thm)],[943])).
% 0.20/0.53 tff(945,plain,
% 0.20/0.53 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[189, 31, 922])).
% 0.20/0.53 tff(946,plain,
% 0.20/0.53 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[178])).
% 0.20/0.53 tff(947,plain,
% 0.20/0.53 ((i25 = i23) <=> (i23 = i25)),
% 0.20/0.53 inference(commutativity,[status(thm)],[])).
% 0.20/0.53 tff(948,plain,
% 0.20/0.53 ((i25 = sk(a_1098, a_1128)) <=> (i25 = i23)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[934])).
% 0.20/0.53 tff(949,plain,
% 0.20/0.53 ((i25 = sk(a_1098, a_1128)) <=> (i23 = i25)),
% 0.20/0.53 inference(transitivity,[status(thm)],[948, 947])).
% 0.20/0.53 tff(950,plain,
% 0.20/0.53 ((i23 = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[949])).
% 0.20/0.53 tff(951,plain,
% 0.20/0.53 ((~(i23 = i25)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[950])).
% 0.20/0.53 tff(952,plain,
% 0.20/0.53 ((~(i23 = i25)) <=> (~(i23 = i25))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(953,axiom,(~(i23 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp89')).
% 0.20/0.53 tff(954,plain,
% 0.20/0.53 (~(i23 = i25)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.20/0.53 tff(955,plain,
% 0.20/0.53 (~(i25 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[954, 951])).
% 0.20/0.53 tff(956,plain,
% 0.20/0.53 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[919, 955])).
% 0.20/0.53 tff(957,plain,
% 0.20/0.53 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[159])).
% 0.20/0.53 tff(958,plain,
% 0.20/0.53 ((i26 = i23) <=> (i23 = i26)),
% 0.20/0.53 inference(commutativity,[status(thm)],[])).
% 0.20/0.53 tff(959,plain,
% 0.20/0.53 ((i26 = sk(a_1098, a_1128)) <=> (i26 = i23)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[934])).
% 0.20/0.53 tff(960,plain,
% 0.20/0.53 ((i26 = sk(a_1098, a_1128)) <=> (i23 = i26)),
% 0.20/0.53 inference(transitivity,[status(thm)],[959, 958])).
% 0.20/0.53 tff(961,plain,
% 0.20/0.53 ((i23 = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[960])).
% 0.20/0.53 tff(962,plain,
% 0.20/0.53 ((~(i23 = i26)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[961])).
% 0.20/0.53 tff(963,plain,
% 0.20/0.53 ((~(i23 = i26)) <=> (~(i23 = i26))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(964,axiom,(~(i23 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp88')).
% 0.20/0.53 tff(965,plain,
% 0.20/0.53 (~(i23 = i26)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[964, 963])).
% 0.20/0.53 tff(966,plain,
% 0.20/0.53 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[965, 962])).
% 0.20/0.53 tff(967,plain,
% 0.20/0.53 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[911, 966])).
% 0.20/0.53 tff(968,plain,
% 0.20/0.53 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[140])).
% 0.20/0.53 tff(969,plain,
% 0.20/0.53 ((i23 = i27) <=> (sk(a_1098, a_1128) = i27)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[933])).
% 0.20/0.53 tff(970,plain,
% 0.20/0.53 ((i23 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(transitivity,[status(thm)],[969, 122])).
% 0.20/0.53 tff(971,plain,
% 0.20/0.53 ((~(i23 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[970])).
% 0.20/0.53 tff(972,plain,
% 0.20/0.53 ((~(i23 = i27)) <=> (~(i23 = i27))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(973,axiom,(~(i23 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp87')).
% 0.20/0.53 tff(974,plain,
% 0.20/0.53 (~(i23 = i27)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[973, 972])).
% 0.20/0.53 tff(975,plain,
% 0.20/0.53 (~(i27 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[974, 971])).
% 0.20/0.53 tff(976,plain,
% 0.20/0.53 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[798, 975])).
% 0.20/0.53 tff(977,plain,
% 0.20/0.53 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[121])).
% 0.20/0.53 tff(978,plain,
% 0.20/0.53 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[102])).
% 0.20/0.53 tff(979,plain,
% 0.20/0.53 (select(store(a_1096, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[82])).
% 0.20/0.53 tff(980,plain,
% 0.20/0.53 (select(a_1098, i_1129) = select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[74])).
% 0.20/0.53 tff(981,plain,
% 0.20/0.53 (e_1130 = e_1131),
% 0.20/0.53 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 976, 968, 967, 957, 956, 946, 945, 944, 942, 940, 937, 924, 932, 864, 929, 486, 926, 14])).
% 0.20/0.53 tff(982,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[432, 981])).
% 0.20/0.53 tff(983,plain,((~(i23 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(984,plain,
% 0.20/0.53 (~(i23 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[983, 838, 843, 485, 75])).
% 0.20/0.53 tff(985,plain,
% 0.20/0.53 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[534, 984])).
% 0.20/0.53 tff(986,plain,
% 0.20/0.53 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[985])).
% 0.20/0.53 tff(987,plain,
% 0.20/0.53 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[844])).
% 0.20/0.53 tff(988,plain,
% 0.20/0.53 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[845])).
% 0.20/0.53 tff(989,plain,
% 0.20/0.53 ((i16 = i26) <=> (i16 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[846])).
% 0.20/0.53 tff(990,plain,
% 0.20/0.53 ((~(i16 = i26)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[989])).
% 0.20/0.53 tff(991,plain,
% 0.20/0.53 ((~(i16 = i26)) <=> (~(i16 = i26))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(992,axiom,(~(i16 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp158')).
% 0.20/0.53 tff(993,plain,
% 0.20/0.53 (~(i16 = i26)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[992, 991])).
% 0.20/0.53 tff(994,plain,
% 0.20/0.53 (~(i16 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[993, 990])).
% 0.20/0.53 tff(995,plain,
% 0.20/0.53 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[591, 994])).
% 0.20/0.53 tff(996,plain,
% 0.20/0.53 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[995])).
% 0.20/0.53 tff(997,plain,
% 0.20/0.53 ((i12 = sk(a_1098, a_1128)) <=> (i12 = i26)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[847])).
% 0.20/0.53 tff(998,plain,
% 0.20/0.53 ((i12 = i26) <=> (i12 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[997])).
% 0.20/0.53 tff(999,plain,
% 0.20/0.53 ((~(i12 = i26)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[998])).
% 0.20/0.53 tff(1000,plain,
% 0.20/0.53 ((~(i12 = i26)) <=> (~(i12 = i26))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(1001,axiom,(~(i12 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp220')).
% 0.20/0.53 tff(1002,plain,
% 0.20/0.53 (~(i12 = i26)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 0.20/0.53 tff(1003,plain,
% 0.20/0.53 (~(i12 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[1002, 999])).
% 0.20/0.53 tff(1004,plain,
% 0.20/0.53 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[610, 1003])).
% 0.20/0.53 tff(1005,plain,
% 0.20/0.53 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[1004])).
% 0.20/0.53 tff(1006,plain,
% 0.20/0.53 ((i3 = sk(a_1098, a_1128)) <=> (i3 = i26)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[847])).
% 0.20/0.53 tff(1007,plain,
% 0.20/0.53 ((i3 = i26) <=> (i3 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[1006])).
% 0.20/0.53 tff(1008,plain,
% 0.20/0.53 ((~(i3 = i26)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[1007])).
% 0.20/0.53 tff(1009,plain,
% 0.20/0.53 ((~(i3 = i26)) <=> (~(i3 = i26))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(1010,axiom,(~(i3 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp418')).
% 0.20/0.53 tff(1011,plain,
% 0.20/0.53 (~(i3 = i26)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 0.20/0.53 tff(1012,plain,
% 0.20/0.53 (~(i3 = sk(a_1098, a_1128))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[1011, 1008])).
% 0.20/0.53 tff(1013,plain,
% 0.20/0.53 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[629, 1012])).
% 0.20/0.53 tff(1014,plain,
% 0.20/0.53 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[1013])).
% 0.20/0.53 tff(1015,plain,
% 0.20/0.53 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[647, 31, 840])).
% 0.20/0.53 tff(1016,plain,
% 0.20/0.53 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.20/0.53 inference(symmetry,[status(thm)],[1015])).
% 0.20/0.53 tff(1017,plain,
% 0.20/0.53 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.53 inference(transitivity,[status(thm)],[656, 1016, 637, 1014, 618, 1005, 599, 996, 580, 988, 561, 987, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.20/0.53 tff(1018,plain,
% 0.20/0.53 ((select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[1017, 863])).
% 0.20/0.53 tff(1019,plain,
% 0.20/0.53 ((select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.53 inference(transitivity,[status(thm)],[1018, 1])).
% 0.20/0.53 tff(1020,plain,
% 0.20/0.53 ((e_1130 = e_1131) <=> (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(symmetry,[status(thm)],[1019])).
% 0.20/0.53 tff(1021,plain,
% 0.20/0.53 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[1020])).
% 0.20/0.53 tff(1022,plain,
% 0.20/0.53 (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[432, 1021])).
% 0.20/0.53 tff(1023,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[667, 1022, 854])).
% 0.20/0.53 tff(1024,plain,((~(i26 = sk(a_1098, a_1128))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (i27 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.54 tff(1025,plain,
% 0.20/0.54 (~(i26 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1024, 845, 75, 838, 844, 843, 485, 840])).
% 0.20/0.54 tff(1026,plain,
% 0.20/0.54 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[911, 1025])).
% 0.20/0.54 tff(1027,plain,
% 0.20/0.54 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1026])).
% 0.20/0.54 tff(1028,plain,
% 0.20/0.54 (select(store(store(a_1091, i24, e24), i25, e25), i25) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[158, 810])).
% 0.20/0.54 tff(1029,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1091, i24, e24), i25, e25), i25) = e25)),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(1030,plain,
% 0.20/0.54 (select(store(store(a_1091, i24, e24), i25, e25), i25) = e25),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1029, 49])).
% 0.20/0.54 tff(1031,plain,
% 0.20/0.54 (e25 = select(store(store(a_1091, i24, e24), i25, e25), i25)),
% 0.20/0.54 inference(symmetry,[status(thm)],[1030])).
% 0.20/0.54 tff(1032,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1105, i15, e15), i25, e25), i25) = e25)),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(1033,plain,
% 0.20/0.54 (select(store(store(a_1105, i15, e15), i25, e25), i25) = e25),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1032, 49])).
% 0.20/0.54 tff(1034,plain,
% 0.20/0.54 ((a_1106 = store(a_1105, i15, e15)) <=> (a_1106 = store(a_1105, i15, e15))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1035,axiom,(a_1106 = store(a_1105, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp37')).
% 0.20/0.54 tff(1036,plain,
% 0.20/0.54 (a_1106 = store(a_1105, i15, e15)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 0.20/0.54 tff(1037,plain,
% 0.20/0.54 (store(a_1105, i15, e15) = a_1106),
% 0.20/0.54 inference(symmetry,[status(thm)],[1036])).
% 0.20/0.54 tff(1038,plain,
% 0.20/0.54 (store(store(a_1105, i15, e15), i25, e25) = store(a_1106, i25, e25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1037])).
% 0.20/0.54 tff(1039,plain,
% 0.20/0.54 (store(a_1106, i25, e25) = store(store(a_1105, i15, e15), i25, e25)),
% 0.20/0.54 inference(symmetry,[status(thm)],[1038])).
% 0.20/0.54 tff(1040,plain,
% 0.20/0.54 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1039, 827])).
% 0.20/0.54 tff(1041,plain,
% 0.20/0.54 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = e_1130),
% 0.20/0.54 inference(transitivity,[status(thm)],[1040, 1033, 1031, 1028, 1027, 140, 842, 121, 839, 102, 837, 82, 76, 74, 5])).
% 0.20/0.54 tff(1042,assumption,(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.54 tff(1043,plain,
% 0.20/0.54 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1042])).
% 0.20/0.54 tff(1044,plain,
% 0.20/0.54 ((i12 = i25) <=> (i12 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[810])).
% 0.20/0.54 tff(1045,plain,
% 0.20/0.54 ((~(i12 = i25)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1044])).
% 0.20/0.54 tff(1046,plain,
% 0.20/0.54 ((~(i12 = i25)) <=> (~(i12 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1047,axiom,(~(i12 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp221')).
% 0.20/0.54 tff(1048,plain,
% 0.20/0.54 (~(i12 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 0.20/0.54 tff(1049,plain,
% 0.20/0.54 (~(i12 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1048, 1045])).
% 0.20/0.54 tff(1050,plain,
% 0.20/0.54 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[610, 1049])).
% 0.20/0.54 tff(1051,plain,
% 0.20/0.54 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1050])).
% 0.20/0.54 tff(1052,plain,
% 0.20/0.54 ((i3 = sk(a_1098, a_1128)) <=> (i3 = i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.54 tff(1053,plain,
% 0.20/0.54 ((i3 = i25) <=> (i3 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1052])).
% 0.20/0.54 tff(1054,plain,
% 0.20/0.54 ((~(i3 = i25)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1053])).
% 0.20/0.54 tff(1055,plain,
% 0.20/0.54 ((~(i3 = i25)) <=> (~(i3 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1056,axiom,(~(i3 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp419')).
% 0.20/0.54 tff(1057,plain,
% 0.20/0.54 (~(i3 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 0.20/0.54 tff(1058,plain,
% 0.20/0.54 (~(i3 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1057, 1054])).
% 0.20/0.54 tff(1059,plain,
% 0.20/0.54 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[629, 1058])).
% 0.20/0.54 tff(1060,plain,
% 0.20/0.54 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1059])).
% 0.20/0.54 tff(1061,plain,
% 0.20/0.54 ((i22 = sk(a_1098, a_1128)) <=> (i22 = i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.54 tff(1062,plain,
% 0.20/0.54 ((i22 = i25) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1061])).
% 0.20/0.54 tff(1063,plain,
% 0.20/0.54 ((~(i22 = i25)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1062])).
% 0.20/0.54 tff(1064,plain,
% 0.20/0.54 ((~(i22 = i25)) <=> (~(i22 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1065,axiom,(~(i22 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp96')).
% 0.20/0.54 tff(1066,plain,
% 0.20/0.54 (~(i22 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.20/0.54 tff(1067,plain,
% 0.20/0.54 (~(i22 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1066, 1063])).
% 0.20/0.54 tff(1068,plain,
% 0.20/0.54 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[667, 1067])).
% 0.20/0.54 tff(1069,plain,
% 0.20/0.54 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1068])).
% 0.20/0.54 tff(1070,plain,
% 0.20/0.54 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[685, 31, 1025])).
% 0.20/0.54 tff(1071,plain,
% 0.20/0.54 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1070])).
% 0.20/0.54 tff(1072,plain,
% 0.20/0.54 ((i5 = sk(a_1098, a_1128)) <=> (i5 = i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.54 tff(1073,plain,
% 0.20/0.54 ((i5 = i25) <=> (i5 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1072])).
% 0.20/0.54 tff(1074,plain,
% 0.20/0.54 ((~(i5 = i25)) <=> (~(i5 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1073])).
% 0.20/0.54 tff(1075,plain,
% 0.20/0.54 ((~(i5 = i25)) <=> (~(i5 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1076,axiom,(~(i5 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp368')).
% 0.20/0.54 tff(1077,plain,
% 0.20/0.54 (~(i5 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 0.20/0.54 tff(1078,plain,
% 0.20/0.54 (~(i5 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1077, 1074])).
% 0.20/0.54 tff(1079,plain,
% 0.20/0.54 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[704, 1078])).
% 0.20/0.54 tff(1080,plain,
% 0.20/0.54 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1079])).
% 0.20/0.54 tff(1081,plain,
% 0.20/0.54 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[481])).
% 0.20/0.54 tff(1082,plain,
% 0.20/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1098, a_1128)) | (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1098, a_1128)) | (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1083,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1098, a_1128)) | (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(1084,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1098, a_1128)) | (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 0.20/0.54 tff(1085,plain,
% 0.20/0.54 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1084, 31, 835])).
% 0.20/0.54 tff(1086,plain,
% 0.20/0.54 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1085])).
% 0.20/0.54 tff(1087,plain,
% 0.20/0.54 ((a_1113 = store(a_1112, i11, e11)) <=> (a_1113 = store(a_1112, i11, e11))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1088,axiom,(a_1113 = store(a_1112, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp44')).
% 0.20/0.54 tff(1089,plain,
% 0.20/0.54 (a_1113 = store(a_1112, i11, e11)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 0.20/0.54 tff(1090,plain,
% 0.20/0.54 (store(a_1112, i11, e11) = a_1113),
% 0.20/0.54 inference(symmetry,[status(thm)],[1089])).
% 0.20/0.54 tff(1091,plain,
% 0.20/0.54 (store(store(a_1112, i11, e11), i14, e14) = store(a_1113, i14, e14)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1090])).
% 0.20/0.54 tff(1092,plain,
% 0.20/0.54 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1091])).
% 0.20/0.54 tff(1093,plain,
% 0.20/0.54 ((i14 = sk(a_1098, a_1128)) <=> (i14 = i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.54 tff(1094,plain,
% 0.20/0.54 ((i14 = i25) <=> (i14 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1093])).
% 0.20/0.54 tff(1095,plain,
% 0.20/0.54 ((~(i14 = i25)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1094])).
% 0.20/0.54 tff(1096,plain,
% 0.20/0.54 ((~(i14 = i25)) <=> (~(i14 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1097,axiom,(~(i14 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp188')).
% 0.20/0.54 tff(1098,plain,
% 0.20/0.54 (~(i14 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 0.20/0.54 tff(1099,plain,
% 0.20/0.54 (~(i14 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1098, 1095])).
% 0.20/0.54 tff(1100,plain,
% 0.20/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1098, a_1128)) | (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1101,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(1102,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1098, a_1128)) | (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 0.20/0.54 tff(1103,plain,
% 0.20/0.54 ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1102, 31])).
% 0.20/0.54 tff(1104,plain,
% 0.20/0.54 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[1103, 1099])).
% 0.20/0.54 tff(1105,plain,
% 0.20/0.54 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1104])).
% 0.20/0.54 tff(1106,plain,
% 0.20/0.54 ((a_1112 = store(a_1111, i6, e6)) <=> (a_1112 = store(a_1111, i6, e6))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1107,axiom,(a_1112 = store(a_1111, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp43')).
% 0.20/0.54 tff(1108,plain,
% 0.20/0.54 (a_1112 = store(a_1111, i6, e6)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 0.20/0.54 tff(1109,plain,
% 0.20/0.54 (store(a_1111, i6, e6) = a_1112),
% 0.20/0.54 inference(symmetry,[status(thm)],[1108])).
% 0.20/0.54 tff(1110,plain,
% 0.20/0.54 (store(store(a_1111, i6, e6), i11, e11) = store(a_1112, i11, e11)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1109])).
% 0.20/0.54 tff(1111,plain,
% 0.20/0.54 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1110])).
% 0.20/0.54 tff(1112,plain,
% 0.20/0.54 ((i11 = sk(a_1098, a_1128)) <=> (i11 = i25)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.54 tff(1113,plain,
% 0.20/0.54 ((i11 = i25) <=> (i11 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(symmetry,[status(thm)],[1112])).
% 0.20/0.54 tff(1114,plain,
% 0.20/0.54 ((~(i11 = i25)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[1113])).
% 0.20/0.54 tff(1115,plain,
% 0.20/0.54 ((~(i11 = i25)) <=> (~(i11 = i25))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1116,axiom,(~(i11 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp239')).
% 0.20/0.54 tff(1117,plain,
% 0.20/0.54 (~(i11 = i25)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 0.20/0.54 tff(1118,plain,
% 0.20/0.54 (~(i11 = sk(a_1098, a_1128))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[1117, 1114])).
% 0.20/0.54 tff(1119,plain,
% 0.20/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1098, a_1128)) | (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(1120,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(1121,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1098, a_1128)) | (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 0.20/0.55 tff(1122,plain,
% 0.20/0.55 ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1121, 31])).
% 0.20/0.55 tff(1123,plain,
% 0.20/0.55 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1122, 1118])).
% 0.20/0.55 tff(1124,plain,
% 0.20/0.55 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1123])).
% 0.20/0.55 tff(1125,plain,
% 0.20/0.55 ((a_1111 = store(a_1110, i21, e21)) <=> (a_1111 = store(a_1110, i21, e21))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1126,axiom,(a_1111 = store(a_1110, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp42')).
% 0.20/0.55 tff(1127,plain,
% 0.20/0.55 (a_1111 = store(a_1110, i21, e21)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 0.20/0.55 tff(1128,plain,
% 0.20/0.55 (store(a_1110, i21, e21) = a_1111),
% 0.20/0.55 inference(symmetry,[status(thm)],[1127])).
% 0.20/0.55 tff(1129,plain,
% 0.20/0.55 (store(store(a_1110, i21, e21), i6, e6) = store(a_1111, i6, e6)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1128])).
% 0.20/0.55 tff(1130,plain,
% 0.20/0.55 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1129])).
% 0.20/0.55 tff(1131,plain,
% 0.20/0.55 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i25)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.55 tff(1132,plain,
% 0.20/0.55 ((i6 = i25) <=> (i6 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1131])).
% 0.20/0.55 tff(1133,plain,
% 0.20/0.55 ((~(i6 = i25)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1132])).
% 0.20/0.55 tff(1134,plain,
% 0.20/0.55 ((~(i6 = i25)) <=> (~(i6 = i25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1135,axiom,(~(i6 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp344')).
% 0.20/0.55 tff(1136,plain,
% 0.20/0.55 (~(i6 = i25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 0.20/0.55 tff(1137,plain,
% 0.20/0.55 (~(i6 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1136, 1133])).
% 0.20/0.55 tff(1138,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1098, a_1128)) | (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1139,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(1140,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1098, a_1128)) | (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 0.20/0.55 tff(1141,plain,
% 0.20/0.55 ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1140, 31])).
% 0.20/0.55 tff(1142,plain,
% 0.20/0.55 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1141, 1137])).
% 0.20/0.55 tff(1143,plain,
% 0.20/0.55 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1142])).
% 0.20/0.55 tff(1144,plain,
% 0.20/0.55 ((a_1110 = store(a_1109, i8, e8)) <=> (a_1110 = store(a_1109, i8, e8))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1145,axiom,(a_1110 = store(a_1109, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp41')).
% 0.20/0.55 tff(1146,plain,
% 0.20/0.55 (a_1110 = store(a_1109, i8, e8)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 0.20/0.55 tff(1147,plain,
% 0.20/0.55 (store(a_1109, i8, e8) = a_1110),
% 0.20/0.55 inference(symmetry,[status(thm)],[1146])).
% 0.20/0.55 tff(1148,plain,
% 0.20/0.55 (store(store(a_1109, i8, e8), i21, e21) = store(a_1110, i21, e21)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1147])).
% 0.20/0.55 tff(1149,plain,
% 0.20/0.55 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1148])).
% 0.20/0.55 tff(1150,plain,
% 0.20/0.55 ((i21 = sk(a_1098, a_1128)) <=> (i21 = i25)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.55 tff(1151,plain,
% 0.20/0.55 ((i21 = i25) <=> (i21 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1150])).
% 0.20/0.55 tff(1152,plain,
% 0.20/0.55 ((~(i21 = i25)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1151])).
% 0.20/0.55 tff(1153,plain,
% 0.20/0.55 ((~(i21 = i25)) <=> (~(i21 = i25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1154,axiom,(~(i21 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp104')).
% 0.20/0.55 tff(1155,plain,
% 0.20/0.55 (~(i21 = i25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 0.20/0.55 tff(1156,plain,
% 0.20/0.55 (~(i21 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1155, 1152])).
% 0.20/0.55 tff(1157,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1098, a_1128)) | (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1158,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(1159,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1098, a_1128)) | (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 0.20/0.55 tff(1160,plain,
% 0.20/0.55 ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1159, 31])).
% 0.20/0.55 tff(1161,plain,
% 0.20/0.55 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1160, 1156])).
% 0.20/0.55 tff(1162,plain,
% 0.20/0.55 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1161])).
% 0.20/0.55 tff(1163,plain,
% 0.20/0.55 ((a_1109 = store(a_1108, i20, e20)) <=> (a_1109 = store(a_1108, i20, e20))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1164,axiom,(a_1109 = store(a_1108, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp40')).
% 0.20/0.55 tff(1165,plain,
% 0.20/0.55 (a_1109 = store(a_1108, i20, e20)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 0.20/0.55 tff(1166,plain,
% 0.20/0.55 (store(a_1108, i20, e20) = a_1109),
% 0.20/0.55 inference(symmetry,[status(thm)],[1165])).
% 0.20/0.55 tff(1167,plain,
% 0.20/0.55 (store(store(a_1108, i20, e20), i8, e8) = store(a_1109, i8, e8)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1166])).
% 0.20/0.55 tff(1168,plain,
% 0.20/0.55 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1167])).
% 0.20/0.55 tff(1169,plain,
% 0.20/0.55 ((i8 = sk(a_1098, a_1128)) <=> (i8 = i25)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.55 tff(1170,plain,
% 0.20/0.55 ((i8 = i25) <=> (i8 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1169])).
% 0.20/0.55 tff(1171,plain,
% 0.20/0.55 ((~(i8 = i25)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1170])).
% 0.20/0.55 tff(1172,plain,
% 0.20/0.55 ((~(i8 = i25)) <=> (~(i8 = i25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1173,axiom,(~(i8 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp299')).
% 0.20/0.55 tff(1174,plain,
% 0.20/0.55 (~(i8 = i25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 0.20/0.55 tff(1175,plain,
% 0.20/0.55 (~(i8 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1174, 1171])).
% 0.20/0.55 tff(1176,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1098, a_1128)) | (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1177,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(1178,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1098, a_1128)) | (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 0.20/0.55 tff(1179,plain,
% 0.20/0.55 ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1178, 31])).
% 0.20/0.55 tff(1180,plain,
% 0.20/0.55 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1179, 1175])).
% 0.20/0.55 tff(1181,plain,
% 0.20/0.55 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1180])).
% 0.20/0.55 tff(1182,plain,
% 0.20/0.55 ((a_1108 = store(a_1107, i18, e18)) <=> (a_1108 = store(a_1107, i18, e18))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1183,axiom,(a_1108 = store(a_1107, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp39')).
% 0.20/0.55 tff(1184,plain,
% 0.20/0.55 (a_1108 = store(a_1107, i18, e18)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 0.20/0.55 tff(1185,plain,
% 0.20/0.55 (store(a_1107, i18, e18) = a_1108),
% 0.20/0.55 inference(symmetry,[status(thm)],[1184])).
% 0.20/0.55 tff(1186,plain,
% 0.20/0.55 (store(store(a_1107, i18, e18), i20, e20) = store(a_1108, i20, e20)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1185])).
% 0.20/0.55 tff(1187,plain,
% 0.20/0.55 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1186])).
% 0.20/0.55 tff(1188,plain,
% 0.20/0.55 ((i20 = sk(a_1098, a_1128)) <=> (i20 = i25)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[827])).
% 0.20/0.55 tff(1189,plain,
% 0.20/0.55 ((i20 = i25) <=> (i20 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1188])).
% 0.20/0.55 tff(1190,plain,
% 0.20/0.55 ((~(i20 = i25)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1189])).
% 0.20/0.55 tff(1191,plain,
% 0.20/0.55 ((~(i20 = i25)) <=> (~(i20 = i25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1192,axiom,(~(i20 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp113')).
% 0.20/0.55 tff(1193,plain,
% 0.20/0.55 (~(i20 = i25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1192, 1191])).
% 0.20/0.55 tff(1194,plain,
% 0.20/0.55 (~(i20 = sk(a_1098, a_1128))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1193, 1190])).
% 0.20/0.55 tff(1195,plain,
% 0.20/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1098, a_1128)) | (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1196,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(1197,plain,
% 0.20/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1098, a_1128)) | (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 0.20/0.55 tff(1198,plain,
% 0.20/0.55 ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1197, 31])).
% 0.20/0.55 tff(1199,plain,
% 0.20/0.55 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[1198, 1194])).
% 0.20/0.55 tff(1200,plain,
% 0.20/0.55 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1199])).
% 0.20/0.55 tff(1201,plain,
% 0.20/0.55 ((a_1107 = store(a_1106, i25, e25)) <=> (a_1107 = store(a_1106, i25, e25))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(1202,axiom,(a_1107 = store(a_1106, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp38')).
% 0.20/0.55 tff(1203,plain,
% 0.20/0.55 (a_1107 = store(a_1106, i25, e25)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 0.20/0.55 tff(1204,plain,
% 0.20/0.55 (store(a_1106, i25, e25) = a_1107),
% 0.20/0.55 inference(symmetry,[status(thm)],[1203])).
% 0.20/0.55 tff(1205,plain,
% 0.20/0.55 (store(store(a_1106, i25, e25), i18, e18) = store(a_1107, i18, e18)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1204])).
% 0.20/0.55 tff(1206,plain,
% 0.20/0.55 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1205])).
% 0.20/0.55 tff(1207,plain,
% 0.20/0.55 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = e_1131),
% 0.20/0.55 inference(transitivity,[status(thm)],[1206, 1200, 1187, 1181, 1168, 1162, 1149, 1143, 1130, 1124, 1111, 1105, 1092, 1086, 1081, 1080, 694, 1071, 675, 1069, 656, 1016, 637, 1060, 618, 1051, 599, 1043, 580, 988, 561, 987, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.20/0.55 tff(1208,plain,
% 0.20/0.55 ((select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.20/0.55 inference(monotonicity,[status(thm)],[1207, 1041])).
% 0.20/0.55 tff(1209,plain,
% 0.20/0.55 ((select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.20/0.55 inference(transitivity,[status(thm)],[1208, 1])).
% 0.20/0.55 tff(1210,plain,
% 0.20/0.55 ((e_1130 = e_1131) <=> (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.55 inference(symmetry,[status(thm)],[1209])).
% 0.20/0.55 tff(1211,plain,
% 0.20/0.55 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[1210])).
% 0.20/0.56 tff(1212,plain,
% 0.20/0.56 (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[432, 1211])).
% 0.20/0.56 tff(1213,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_1098, a_1128)) | (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1098, a_1128)) | (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(1214,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_1098, a_1128)) | (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(1215,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1098, a_1128)) | (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 0.20/0.56 tff(1216,plain,
% 0.20/0.56 ((i18 = sk(a_1098, a_1128)) | (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[1215, 31])).
% 0.20/0.56 tff(1217,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[1216, 1212, 834])).
% 0.20/0.56 tff(1218,plain,((~(i25 = sk(a_1098, a_1128))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (i27 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(1219,plain,
% 0.20/0.56 (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[1218, 826, 75, 810, 825, 818, 817, 718, 789])).
% 0.20/0.56 tff(1220,plain,
% 0.20/0.56 ((i16 = i25) <=> (i16 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[810])).
% 0.20/0.56 tff(1221,plain,
% 0.20/0.56 ((~(i16 = i25)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[1220])).
% 0.20/0.56 tff(1222,plain,
% 0.20/0.56 ((~(i16 = i25)) <=> (~(i16 = i25))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(1223,axiom,(~(i16 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp159')).
% 0.20/0.56 tff(1224,plain,
% 0.20/0.56 (~(i16 = i25)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 0.20/0.56 tff(1225,plain,
% 0.20/0.56 (~(i16 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1224, 1221])).
% 0.20/0.56 tff(1226,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[590, 31, 1225, 1219])).
% 0.20/0.56 tff(1227,plain,((~(i25 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(1228,plain,
% 0.20/0.56 (~(i25 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[1227, 770, 75])).
% 0.20/0.56 tff(1229,assumption,(~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.20/0.56 tff(1230,assumption,(~(i25 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.20/0.56 tff(1231,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[170, 31, 1230, 1229])).
% 0.20/0.56 tff(1232,plain,((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(1233,plain,
% 0.20/0.56 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[1232, 1228])).
% 0.20/0.56 tff(1234,plain,
% 0.20/0.56 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.20/0.56 inference(symmetry,[status(thm)],[1233])).
% 0.20/0.56 tff(1235,plain,
% 0.20/0.56 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[189, 31, 460])).
% 0.20/0.56 tff(1236,plain,
% 0.20/0.56 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.20/0.56 inference(symmetry,[status(thm)],[1235])).
% 0.20/0.56 tff(1237,plain,
% 0.20/0.56 ((i7 = i23) <=> (sk(a_1098, a_1128) = i23)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.20/0.56 tff(1238,plain,
% 0.20/0.56 ((i7 = i23) <=> (i23 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(transitivity,[status(thm)],[1237, 198])).
% 0.20/0.56 tff(1239,plain,
% 0.20/0.56 ((~(i7 = i23)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[1238])).
% 0.20/0.56 tff(1240,plain,
% 0.20/0.56 ((~(i7 = i23)) <=> (~(i7 = i23))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(1241,axiom,(~(i7 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp323')).
% 0.20/0.56 tff(1242,plain,
% 0.20/0.56 (~(i7 = i23)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 0.20/0.56 tff(1243,plain,
% 0.20/0.56 (~(i23 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1242, 1239])).
% 0.20/0.56 tff(1244,plain,
% 0.20/0.56 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[208, 31, 1243])).
% 0.20/0.56 tff(1245,plain,
% 0.20/0.56 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.20/0.56 inference(symmetry,[status(thm)],[1244])).
% 0.20/0.56 tff(1246,plain,
% 0.20/0.56 ((i7 = i22) <=> (sk(a_1098, a_1128) = i22)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.20/0.56 tff(1247,plain,
% 0.20/0.56 ((i7 = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(transitivity,[status(thm)],[1246, 217])).
% 0.20/0.56 tff(1248,plain,
% 0.20/0.56 ((~(i7 = i22)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[1247])).
% 0.20/0.56 tff(1249,plain,
% 0.20/0.56 ((~(i7 = i22)) <=> (~(i7 = i22))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(1250,axiom,(~(i7 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp324')).
% 0.20/0.56 tff(1251,plain,
% 0.20/0.56 (~(i7 = i22)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 0.20/0.56 tff(1252,plain,
% 0.20/0.56 (~(i22 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[1251, 1248])).
% 0.20/0.56 tff(1253,plain,
% 0.20/0.56 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[227, 31, 1252])).
% 0.20/0.56 tff(1254,plain,
% 0.20/0.56 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.20/0.56 inference(symmetry,[status(thm)],[1253])).
% 0.20/0.56 tff(1255,plain,
% 0.20/0.56 ((i7 = i21) <=> (sk(a_1098, a_1128) = i21)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.20/0.56 tff(1256,plain,
% 0.20/0.56 ((i7 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.20/0.56 inference(transitivity,[status(thm)],[1255, 236])).
% 0.20/0.56 tff(1257,plain,
% 0.41/0.56 ((~(i7 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1256])).
% 0.41/0.56 tff(1258,plain,
% 0.41/0.56 ((~(i7 = i21)) <=> (~(i7 = i21))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1259,axiom,(~(i7 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp325')).
% 0.41/0.56 tff(1260,plain,
% 0.41/0.56 (~(i7 = i21)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 0.41/0.56 tff(1261,plain,
% 0.41/0.56 (~(i21 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1260, 1257])).
% 0.41/0.56 tff(1262,plain,
% 0.41/0.56 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[246, 31, 1261])).
% 0.41/0.56 tff(1263,plain,
% 0.41/0.56 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1262])).
% 0.41/0.56 tff(1264,plain,
% 0.41/0.56 ((i7 = i20) <=> (sk(a_1098, a_1128) = i20)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1265,plain,
% 0.41/0.56 ((i7 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1264, 255])).
% 0.41/0.56 tff(1266,plain,
% 0.41/0.56 ((~(i7 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1265])).
% 0.41/0.56 tff(1267,plain,
% 0.41/0.56 ((~(i7 = i20)) <=> (~(i7 = i20))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1268,axiom,(~(i7 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp326')).
% 0.41/0.56 tff(1269,plain,
% 0.41/0.56 (~(i7 = i20)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 0.41/0.56 tff(1270,plain,
% 0.41/0.56 (~(i20 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1269, 1266])).
% 0.41/0.56 tff(1271,plain,
% 0.41/0.56 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[265, 31, 1270])).
% 0.41/0.56 tff(1272,plain,
% 0.41/0.56 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1271])).
% 0.41/0.56 tff(1273,plain,
% 0.41/0.56 ((i7 = i19) <=> (sk(a_1098, a_1128) = i19)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1274,plain,
% 0.41/0.56 ((i7 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1273, 274])).
% 0.41/0.56 tff(1275,plain,
% 0.41/0.56 ((~(i7 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1274])).
% 0.41/0.56 tff(1276,plain,
% 0.41/0.56 ((~(i7 = i19)) <=> (~(i7 = i19))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1277,axiom,(~(i7 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp327')).
% 0.41/0.56 tff(1278,plain,
% 0.41/0.56 (~(i7 = i19)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 0.41/0.56 tff(1279,plain,
% 0.41/0.56 (~(i19 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1278, 1275])).
% 0.41/0.56 tff(1280,plain,
% 0.41/0.56 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[284, 31, 1279])).
% 0.41/0.56 tff(1281,plain,
% 0.41/0.56 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1280])).
% 0.41/0.56 tff(1282,plain,
% 0.41/0.56 ((i7 = i18) <=> (sk(a_1098, a_1128) = i18)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1283,plain,
% 0.41/0.56 ((i7 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1282, 293])).
% 0.41/0.56 tff(1284,plain,
% 0.41/0.56 ((~(i7 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1283])).
% 0.41/0.56 tff(1285,plain,
% 0.41/0.56 ((~(i7 = i18)) <=> (~(i7 = i18))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1286,axiom,(~(i7 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp328')).
% 0.41/0.56 tff(1287,plain,
% 0.41/0.56 (~(i7 = i18)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1286, 1285])).
% 0.41/0.56 tff(1288,plain,
% 0.41/0.56 (~(i18 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1287, 1284])).
% 0.41/0.56 tff(1289,plain,
% 0.41/0.56 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[303, 31, 1288])).
% 0.41/0.56 tff(1290,plain,
% 0.41/0.56 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1289])).
% 0.41/0.56 tff(1291,plain,
% 0.41/0.56 (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[322, 31, 770])).
% 0.41/0.56 tff(1292,plain,
% 0.41/0.56 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1291])).
% 0.41/0.56 tff(1293,plain,
% 0.41/0.56 ((i7 = i16) <=> (sk(a_1098, a_1128) = i16)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1294,plain,
% 0.41/0.56 ((i7 = i16) <=> (i16 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1293, 331])).
% 0.41/0.56 tff(1295,plain,
% 0.41/0.56 ((~(i7 = i16)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1294])).
% 0.41/0.56 tff(1296,plain,
% 0.41/0.56 ((~(i7 = i16)) <=> (~(i7 = i16))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1297,axiom,(~(i7 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp330')).
% 0.41/0.56 tff(1298,plain,
% 0.41/0.56 (~(i7 = i16)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 0.41/0.56 tff(1299,plain,
% 0.41/0.56 (~(i16 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1298, 1295])).
% 0.41/0.56 tff(1300,plain,
% 0.41/0.56 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[341, 31, 1299])).
% 0.41/0.56 tff(1301,plain,
% 0.41/0.56 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1300])).
% 0.41/0.56 tff(1302,plain,
% 0.41/0.56 ((i7 = i15) <=> (sk(a_1098, a_1128) = i15)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1303,plain,
% 0.41/0.56 ((i7 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1302, 350])).
% 0.41/0.56 tff(1304,plain,
% 0.41/0.56 ((~(i7 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1303])).
% 0.41/0.56 tff(1305,plain,
% 0.41/0.56 ((~(i7 = i15)) <=> (~(i7 = i15))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1306,axiom,(~(i7 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp331')).
% 0.41/0.56 tff(1307,plain,
% 0.41/0.56 (~(i7 = i15)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 0.41/0.56 tff(1308,plain,
% 0.41/0.56 (~(i15 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1307, 1304])).
% 0.41/0.56 tff(1309,plain,
% 0.41/0.56 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[360, 31, 1308])).
% 0.41/0.56 tff(1310,plain,
% 0.41/0.56 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1309])).
% 0.41/0.56 tff(1311,plain,
% 0.41/0.56 ((i7 = i14) <=> (sk(a_1098, a_1128) = i14)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1312,plain,
% 0.41/0.56 ((i7 = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1311, 369])).
% 0.41/0.56 tff(1313,plain,
% 0.41/0.56 ((~(i7 = i14)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1312])).
% 0.41/0.56 tff(1314,plain,
% 0.41/0.56 ((~(i7 = i14)) <=> (~(i7 = i14))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1315,axiom,(~(i7 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp332')).
% 0.41/0.56 tff(1316,plain,
% 0.41/0.56 (~(i7 = i14)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 0.41/0.56 tff(1317,plain,
% 0.41/0.56 (~(i14 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1316, 1313])).
% 0.41/0.56 tff(1318,plain,
% 0.41/0.56 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[379, 31, 1317])).
% 0.41/0.56 tff(1319,plain,
% 0.41/0.56 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1318])).
% 0.41/0.56 tff(1320,plain,
% 0.41/0.56 ((i7 = i13) <=> (sk(a_1098, a_1128) = i13)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1321,plain,
% 0.41/0.56 ((i7 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1320, 388])).
% 0.41/0.56 tff(1322,plain,
% 0.41/0.56 ((~(i7 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1321])).
% 0.41/0.56 tff(1323,plain,
% 0.41/0.56 ((~(i7 = i13)) <=> (~(i7 = i13))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1324,axiom,(~(i7 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp333')).
% 0.41/0.56 tff(1325,plain,
% 0.41/0.56 (~(i7 = i13)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 0.41/0.56 tff(1326,plain,
% 0.41/0.56 (~(i13 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1325, 1322])).
% 0.41/0.56 tff(1327,plain,
% 0.41/0.56 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[398, 31, 1326])).
% 0.41/0.56 tff(1328,plain,
% 0.41/0.56 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1327])).
% 0.41/0.56 tff(1329,plain,
% 0.41/0.56 ((i7 = i12) <=> (sk(a_1098, a_1128) = i12)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1330,plain,
% 0.41/0.56 ((i7 = i12) <=> (i12 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1329, 407])).
% 0.41/0.56 tff(1331,plain,
% 0.41/0.56 ((~(i7 = i12)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1330])).
% 0.41/0.56 tff(1332,plain,
% 0.41/0.56 ((~(i7 = i12)) <=> (~(i7 = i12))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1333,axiom,(~(i7 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp334')).
% 0.41/0.56 tff(1334,plain,
% 0.41/0.56 (~(i7 = i12)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 0.41/0.56 tff(1335,plain,
% 0.41/0.56 (~(i12 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1334, 1331])).
% 0.41/0.56 tff(1336,plain,
% 0.41/0.56 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[417, 31, 1335])).
% 0.41/0.56 tff(1337,plain,
% 0.41/0.56 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1336])).
% 0.41/0.56 tff(1338,plain,
% 0.41/0.56 ((i7 = i11) <=> (sk(a_1098, a_1128) = i11)),
% 0.41/0.56 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.56 tff(1339,plain,
% 0.41/0.56 ((i7 = i11) <=> (i11 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(transitivity,[status(thm)],[1338, 434])).
% 0.41/0.56 tff(1340,plain,
% 0.41/0.56 ((~(i7 = i11)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[1339])).
% 0.41/0.56 tff(1341,plain,
% 0.41/0.56 ((~(i7 = i11)) <=> (~(i7 = i11))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(1342,axiom,(~(i7 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp335')).
% 0.41/0.56 tff(1343,plain,
% 0.41/0.56 (~(i7 = i11)),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 0.41/0.56 tff(1344,plain,
% 0.41/0.56 (~(i11 = sk(a_1098, a_1128))),
% 0.41/0.56 inference(modus_ponens,[status(thm)],[1343, 1340])).
% 0.41/0.56 tff(1345,plain,
% 0.41/0.56 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.41/0.56 inference(unit_resolution,[status(thm)],[444, 31, 1344])).
% 0.41/0.56 tff(1346,plain,
% 0.41/0.56 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.41/0.56 inference(symmetry,[status(thm)],[1345])).
% 0.41/0.56 tff(1347,plain,
% 0.41/0.56 (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.41/0.56 inference(monotonicity,[status(thm)],[60])).
% 0.41/0.56 tff(1348,plain,
% 0.41/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1098, a_1128)) | (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1098, a_1128)) | (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1349,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1098, a_1128)) | (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(1350,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1098, a_1128)) | (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 0.41/0.57 tff(1351,plain,
% 0.41/0.57 (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1350, 31, 717])).
% 0.41/0.57 tff(1352,plain,
% 0.41/0.57 (select(store(a_1076, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1351])).
% 0.41/0.57 tff(1353,plain,
% 0.41/0.57 ((a_1076 = store(a_1075, i8, e8)) <=> (a_1076 = store(a_1075, i8, e8))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1354,axiom,(a_1076 = store(a_1075, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp7')).
% 0.41/0.57 tff(1355,plain,
% 0.41/0.57 (a_1076 = store(a_1075, i8, e8)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 0.41/0.57 tff(1356,plain,
% 0.41/0.57 (store(a_1075, i8, e8) = a_1076),
% 0.41/0.57 inference(symmetry,[status(thm)],[1355])).
% 0.41/0.57 tff(1357,plain,
% 0.41/0.57 (store(store(a_1075, i8, e8), i9, e9) = store(a_1076, i9, e9)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1356])).
% 0.41/0.57 tff(1358,plain,
% 0.41/0.57 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1357])).
% 0.41/0.57 tff(1359,plain,
% 0.41/0.57 ((sk(a_1098, a_1128) = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(1360,plain,
% 0.41/0.57 ((i7 = i9) <=> (sk(a_1098, a_1128) = i9)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.57 tff(1361,plain,
% 0.41/0.57 ((i7 = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(transitivity,[status(thm)],[1360, 1359])).
% 0.41/0.57 tff(1362,plain,
% 0.41/0.57 ((~(i7 = i9)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1361])).
% 0.41/0.57 tff(1363,plain,
% 0.41/0.57 ((~(i7 = i9)) <=> (~(i7 = i9))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1364,axiom,(~(i7 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp337')).
% 0.41/0.57 tff(1365,plain,
% 0.41/0.57 (~(i7 = i9)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 0.41/0.57 tff(1366,plain,
% 0.41/0.57 (~(i9 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1365, 1362])).
% 0.41/0.57 tff(1367,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1098, a_1128)) | (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1368,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(1369,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1098, a_1128)) | (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 0.41/0.57 tff(1370,plain,
% 0.41/0.57 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1369, 31, 1366])).
% 0.41/0.57 tff(1371,plain,
% 0.41/0.57 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1370])).
% 0.41/0.57 tff(1372,plain,
% 0.41/0.57 ((a_1075 = store(a_1074, i7, e7)) <=> (a_1075 = store(a_1074, i7, e7))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1373,axiom,(a_1075 = store(a_1074, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp6')).
% 0.41/0.57 tff(1374,plain,
% 0.41/0.57 (a_1075 = store(a_1074, i7, e7)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 0.41/0.57 tff(1375,plain,
% 0.41/0.57 (store(a_1074, i7, e7) = a_1075),
% 0.41/0.57 inference(symmetry,[status(thm)],[1374])).
% 0.41/0.57 tff(1376,plain,
% 0.41/0.57 (store(store(a_1074, i7, e7), i8, e8) = store(a_1075, i8, e8)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1375])).
% 0.41/0.57 tff(1377,plain,
% 0.41/0.57 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1376])).
% 0.41/0.57 tff(1378,plain,
% 0.41/0.57 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = e_1130),
% 0.41/0.57 inference(transitivity,[status(thm)],[1377, 1371, 1358, 1352, 1347, 1346, 425, 1337, 406, 1328, 387, 1319, 368, 1310, 349, 1301, 330, 1292, 311, 1290, 292, 1281, 273, 1272, 254, 1263, 235, 1254, 216, 1245, 197, 1236, 178, 1234, 159, 809, 140, 800, 121, 790, 102, 721, 82, 76, 74, 5])).
% 0.41/0.57 tff(1379,plain,
% 0.41/0.57 ((select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1378, 787])).
% 0.41/0.57 tff(1380,plain,
% 0.41/0.57 ((e_1130 = e_1131) <=> (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1379])).
% 0.41/0.57 tff(1381,plain,
% 0.41/0.57 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1380])).
% 0.41/0.57 tff(1382,plain,
% 0.41/0.57 (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[432, 1381])).
% 0.41/0.57 tff(1383,plain,
% 0.41/0.57 ((sk(a_1098, a_1128) = i8) <=> (i8 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(1384,plain,
% 0.41/0.57 ((i7 = i8) <=> (sk(a_1098, a_1128) = i8)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[771])).
% 0.41/0.57 tff(1385,plain,
% 0.41/0.57 ((i7 = i8) <=> (i8 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(transitivity,[status(thm)],[1384, 1383])).
% 0.41/0.57 tff(1386,plain,
% 0.41/0.57 ((~(i7 = i8)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1385])).
% 0.41/0.57 tff(1387,plain,
% 0.41/0.57 ((~(i7 = i8)) <=> (~(i7 = i8))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1388,axiom,(~(i7 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp338')).
% 0.41/0.57 tff(1389,plain,
% 0.41/0.57 (~(i7 = i8)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 0.41/0.57 tff(1390,plain,
% 0.41/0.57 (~(i8 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1389, 1386])).
% 0.41/0.57 tff(1391,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1098, a_1128)) | (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1392,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(1393,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1098, a_1128)) | (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 0.41/0.57 tff(1394,plain,
% 0.41/0.57 ($false),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1393, 31, 1390, 1382])).
% 0.41/0.57 tff(1395,plain,((~(i7 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128)) | (i24 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.41/0.57 tff(1396,plain,
% 0.41/0.57 (~(i7 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1395, 770, 36, 460])).
% 0.41/0.57 tff(1397,plain,
% 0.41/0.57 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[496, 1396])).
% 0.41/0.57 tff(1398,assumption,(i27 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.41/0.57 tff(1399,plain,
% 0.41/0.57 (sk(a_1098, a_1128) = i27),
% 0.41/0.57 inference(symmetry,[status(thm)],[1398])).
% 0.41/0.57 tff(1400,plain,
% 0.41/0.57 ((i3 = sk(a_1098, a_1128)) <=> (i3 = i27)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1399])).
% 0.41/0.57 tff(1401,plain,
% 0.41/0.57 ((i3 = i27) <=> (i3 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1400])).
% 0.41/0.57 tff(1402,plain,
% 0.41/0.57 ((~(i3 = i27)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1401])).
% 0.41/0.57 tff(1403,plain,
% 0.41/0.57 ((~(i3 = i27)) <=> (~(i3 = i27))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1404,axiom,(~(i3 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp417')).
% 0.41/0.57 tff(1405,plain,
% 0.41/0.57 (~(i3 = i27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 0.41/0.57 tff(1406,plain,
% 0.41/0.57 (~(i3 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1405, 1402])).
% 0.41/0.57 tff(1407,assumption,(~(i28 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.41/0.57 tff(1408,plain,
% 0.41/0.57 (select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[767, 1407])).
% 0.41/0.57 tff(1409,plain,
% 0.41/0.57 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1408])).
% 0.41/0.57 tff(1410,plain,
% 0.41/0.57 (select(store(store(a_1093, i26, e26), i27, e27), i27) = select(store(a_1094, i27, e27), sk(a_1098, a_1128))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[120, 1398])).
% 0.41/0.57 tff(1411,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1093, i26, e26), i27, e27), i27) = e27)),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(1412,plain,
% 0.41/0.57 (select(store(store(a_1093, i26, e26), i27, e27), i27) = e27),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1411, 49])).
% 0.41/0.57 tff(1413,plain,
% 0.41/0.57 (e27 = select(store(store(a_1093, i26, e26), i27, e27), i27)),
% 0.41/0.57 inference(symmetry,[status(thm)],[1412])).
% 0.41/0.57 tff(1414,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1117, i22, e22), i27, e27), i27) = e27)),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(1415,plain,
% 0.41/0.57 (select(store(store(a_1117, i22, e22), i27, e27), i27) = e27),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[1414, 49])).
% 0.41/0.57 tff(1416,plain,
% 0.41/0.57 (store(a_1118, i27, e27) = store(store(a_1117, i22, e22), i27, e27)),
% 0.41/0.57 inference(symmetry,[status(thm)],[636])).
% 0.41/0.57 tff(1417,plain,
% 0.41/0.57 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), i27)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1416, 1399])).
% 0.41/0.57 tff(1418,plain,
% 0.41/0.57 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = e_1130),
% 0.41/0.57 inference(transitivity,[status(thm)],[1417, 1415, 1413, 1410, 1409, 102, 837, 82, 76, 74, 5])).
% 0.41/0.57 tff(1419,plain,
% 0.41/0.57 (~(i23 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[983, 1408, 843, 485, 75])).
% 0.41/0.57 tff(1420,plain,
% 0.41/0.57 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[534, 1419])).
% 0.41/0.57 tff(1421,plain,
% 0.41/0.57 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1420])).
% 0.41/0.57 tff(1422,plain,
% 0.41/0.57 ((i17 = i27) <=> (i17 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1398])).
% 0.41/0.57 tff(1423,plain,
% 0.41/0.57 ((~(i17 = i27)) <=> (~(i17 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1422])).
% 0.41/0.57 tff(1424,plain,
% 0.41/0.57 ((~(i17 = i27)) <=> (~(i17 = i27))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1425,axiom,(~(i17 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp144')).
% 0.41/0.57 tff(1426,plain,
% 0.41/0.57 (~(i17 = i27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 0.41/0.57 tff(1427,plain,
% 0.41/0.57 (~(i17 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1426, 1423])).
% 0.41/0.57 tff(1428,plain,
% 0.41/0.57 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[553, 1427])).
% 0.41/0.57 tff(1429,plain,
% 0.41/0.57 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1428])).
% 0.41/0.57 tff(1430,plain,
% 0.41/0.57 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[571, 31, 1407])).
% 0.41/0.57 tff(1431,plain,
% 0.41/0.57 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1430])).
% 0.41/0.57 tff(1432,plain,
% 0.41/0.57 ((i16 = sk(a_1098, a_1128)) <=> (i16 = i27)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1399])).
% 0.41/0.57 tff(1433,plain,
% 0.41/0.57 ((i16 = i27) <=> (i16 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1432])).
% 0.41/0.57 tff(1434,plain,
% 0.41/0.57 ((~(i16 = i27)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1433])).
% 0.41/0.57 tff(1435,plain,
% 0.41/0.57 ((~(i16 = i27)) <=> (~(i16 = i27))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1436,axiom,(~(i16 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp157')).
% 0.41/0.57 tff(1437,plain,
% 0.41/0.57 (~(i16 = i27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 0.41/0.57 tff(1438,plain,
% 0.41/0.57 (~(i16 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1437, 1434])).
% 0.41/0.57 tff(1439,plain,
% 0.41/0.57 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[591, 1438])).
% 0.41/0.57 tff(1440,plain,
% 0.41/0.57 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1439])).
% 0.41/0.57 tff(1441,plain,
% 0.41/0.57 ((i12 = sk(a_1098, a_1128)) <=> (i12 = i27)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1399])).
% 0.41/0.57 tff(1442,plain,
% 0.41/0.57 ((i12 = i27) <=> (i12 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1441])).
% 0.41/0.57 tff(1443,plain,
% 0.41/0.57 ((~(i12 = i27)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[1442])).
% 0.41/0.57 tff(1444,plain,
% 0.41/0.57 ((~(i12 = i27)) <=> (~(i12 = i27))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(1445,axiom,(~(i12 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp219')).
% 0.41/0.57 tff(1446,plain,
% 0.41/0.57 (~(i12 = i27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 0.41/0.57 tff(1447,plain,
% 0.41/0.57 (~(i12 = sk(a_1098, a_1128))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[1446, 1443])).
% 0.41/0.57 tff(1448,plain,
% 0.41/0.57 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[610, 1447])).
% 0.41/0.57 tff(1449,plain,
% 0.41/0.57 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.41/0.57 inference(symmetry,[status(thm)],[1448])).
% 0.41/0.57 tff(1450,plain,
% 0.43/0.57 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = e_1131),
% 0.43/0.57 inference(transitivity,[status(thm)],[618, 1449, 599, 1440, 580, 1431, 561, 1429, 542, 1421, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.43/0.57 tff(1451,plain,
% 0.43/0.57 ((select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.43/0.57 inference(monotonicity,[status(thm)],[1450, 1418])).
% 0.43/0.57 tff(1452,plain,
% 0.43/0.57 ((select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.43/0.57 inference(transitivity,[status(thm)],[1451, 1])).
% 0.43/0.57 tff(1453,plain,
% 0.43/0.57 ((e_1130 = e_1131) <=> (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))),
% 0.43/0.57 inference(symmetry,[status(thm)],[1452])).
% 0.43/0.57 tff(1454,plain,
% 0.43/0.57 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))))),
% 0.43/0.57 inference(monotonicity,[status(thm)],[1453])).
% 0.43/0.57 tff(1455,plain,
% 0.43/0.57 (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))),
% 0.43/0.57 inference(modus_ponens,[status(thm)],[432, 1454])).
% 0.43/0.57 tff(1456,plain,
% 0.43/0.57 ($false),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[629, 1455, 1406])).
% 0.43/0.57 tff(1457,plain,((~(i27 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (i28 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.57 tff(1458,plain,
% 0.43/0.57 (~(i27 = sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[1457, 1397, 766, 452, 36])).
% 0.43/0.57 tff(1459,plain,
% 0.43/0.57 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[798, 1458])).
% 0.43/0.57 tff(1460,plain,
% 0.43/0.57 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.43/0.57 inference(symmetry,[status(thm)],[1459])).
% 0.43/0.57 tff(1461,plain,
% 0.43/0.57 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[571, 31, 766])).
% 0.43/0.57 tff(1462,plain,
% 0.43/0.57 (~(i26 = sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[1024, 1461, 36, 1458, 818, 1397, 452, 768])).
% 0.43/0.57 tff(1463,plain,
% 0.43/0.57 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[911, 1462])).
% 0.43/0.57 tff(1464,plain,
% 0.43/0.57 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.43/0.57 inference(symmetry,[status(thm)],[1463])).
% 0.43/0.57 tff(1465,plain,
% 0.43/0.57 (~(i25 = sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[1227, 770, 36])).
% 0.43/0.57 tff(1466,plain,
% 0.43/0.57 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[1232, 1465])).
% 0.43/0.57 tff(1467,plain,
% 0.43/0.57 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.43/0.57 inference(symmetry,[status(thm)],[1466])).
% 0.43/0.57 tff(1468,plain,
% 0.43/0.57 (~(i23 = sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[983, 1397, 768, 452, 36])).
% 0.43/0.57 tff(1469,plain,
% 0.43/0.57 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.57 inference(unit_resolution,[status(thm)],[208, 31, 1468])).
% 0.43/0.57 tff(1470,plain,
% 0.43/0.57 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1469])).
% 0.43/0.58 tff(1471,plain,
% 0.43/0.58 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[935])).
% 0.43/0.58 tff(1472,plain,
% 0.43/0.58 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1471])).
% 0.43/0.58 tff(1473,plain,
% 0.43/0.58 (store(a_1123, i17, e17) = store(store(a_1122, i28, e28), i17, e17)),
% 0.43/0.58 inference(symmetry,[status(thm)],[541])).
% 0.43/0.58 tff(1474,plain,
% 0.43/0.58 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1473])).
% 0.43/0.58 tff(1475,plain,
% 0.43/0.58 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1474])).
% 0.43/0.58 tff(1476,plain,
% 0.43/0.58 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[553, 770])).
% 0.43/0.58 tff(1477,plain,
% 0.43/0.58 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1476])).
% 0.43/0.58 tff(1478,plain,
% 0.43/0.58 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[731])).
% 0.43/0.58 tff(1479,assumption,(i16 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.58 tff(1480,plain,
% 0.43/0.58 (sk(a_1098, a_1128) = i16),
% 0.43/0.58 inference(symmetry,[status(thm)],[1479])).
% 0.43/0.58 tff(1481,plain,
% 0.43/0.58 (store(a_1121, i16, e16) = store(store(a_1120, i12, e12), i16, e16)),
% 0.43/0.58 inference(symmetry,[status(thm)],[579])).
% 0.43/0.58 tff(1482,plain,
% 0.43/0.58 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1481, 1480])).
% 0.43/0.58 tff(1483,plain,
% 0.43/0.58 (select(store(store(a_1120, i12, e12), i16, e16), i16) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1482])).
% 0.43/0.58 tff(1484,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1120, i12, e12), i16, e16), i16) = e16)),
% 0.43/0.58 inference(quant_inst,[status(thm)],[])).
% 0.43/0.58 tff(1485,plain,
% 0.43/0.58 (select(store(store(a_1120, i12, e12), i16, e16), i16) = e16),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1484, 49])).
% 0.43/0.58 tff(1486,plain,
% 0.43/0.58 (e16 = select(store(store(a_1120, i12, e12), i16, e16), i16)),
% 0.43/0.58 inference(symmetry,[status(thm)],[1485])).
% 0.43/0.58 tff(1487,plain,
% 0.43/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1082, i15, e15), i16, e16), i16) = e16)),
% 0.43/0.58 inference(quant_inst,[status(thm)],[])).
% 0.43/0.58 tff(1488,plain,
% 0.43/0.58 (select(store(store(a_1082, i15, e15), i16, e16), i16) = e16),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1487, 49])).
% 0.43/0.58 tff(1489,plain,
% 0.43/0.58 (select(store(store(a_1082, i15, e15), i16, e16), i16) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[329, 1479])).
% 0.43/0.58 tff(1490,plain,
% 0.43/0.58 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), i16)),
% 0.43/0.58 inference(symmetry,[status(thm)],[1489])).
% 0.43/0.58 tff(1491,plain,
% 0.43/0.58 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[311])).
% 0.43/0.58 tff(1492,plain,
% 0.43/0.58 ((i18 = i16) <=> (i16 = i18)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1493,plain,
% 0.43/0.58 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1480])).
% 0.43/0.58 tff(1494,plain,
% 0.43/0.58 ((i18 = sk(a_1098, a_1128)) <=> (i16 = i18)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1493, 1492])).
% 0.43/0.58 tff(1495,plain,
% 0.43/0.58 ((i16 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1494])).
% 0.43/0.58 tff(1496,plain,
% 0.43/0.58 ((~(i16 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1495])).
% 0.43/0.58 tff(1497,plain,
% 0.43/0.58 ((~(i16 = i18)) <=> (~(i16 = i18))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1498,axiom,(~(i16 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp166')).
% 0.43/0.58 tff(1499,plain,
% 0.43/0.58 (~(i16 = i18)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 0.43/0.58 tff(1500,plain,
% 0.43/0.58 (~(i18 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1499, 1496])).
% 0.43/0.58 tff(1501,plain,
% 0.43/0.58 ((i18 = sk(a_1098, a_1128)) | (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[303, 31])).
% 0.43/0.58 tff(1502,plain,
% 0.43/0.58 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1501, 1500])).
% 0.43/0.58 tff(1503,plain,
% 0.43/0.58 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[292])).
% 0.43/0.58 tff(1504,plain,
% 0.43/0.58 ((i19 = i16) <=> (i16 = i19)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1505,plain,
% 0.43/0.58 ((i19 = sk(a_1098, a_1128)) <=> (i19 = i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1480])).
% 0.43/0.58 tff(1506,plain,
% 0.43/0.58 ((i19 = sk(a_1098, a_1128)) <=> (i16 = i19)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1505, 1504])).
% 0.43/0.58 tff(1507,plain,
% 0.43/0.58 ((i16 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1506])).
% 0.43/0.58 tff(1508,plain,
% 0.43/0.58 ((~(i16 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1507])).
% 0.43/0.58 tff(1509,plain,
% 0.43/0.58 ((~(i16 = i19)) <=> (~(i16 = i19))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1510,axiom,(~(i16 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp165')).
% 0.43/0.58 tff(1511,plain,
% 0.43/0.58 (~(i16 = i19)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 0.43/0.58 tff(1512,plain,
% 0.43/0.58 (~(i19 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1511, 1508])).
% 0.43/0.58 tff(1513,plain,
% 0.43/0.58 ((i19 = sk(a_1098, a_1128)) | (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[284, 31])).
% 0.43/0.58 tff(1514,plain,
% 0.43/0.58 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1513, 1512])).
% 0.43/0.58 tff(1515,plain,
% 0.43/0.58 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[273])).
% 0.43/0.58 tff(1516,plain,
% 0.43/0.58 ((i20 = i16) <=> (i16 = i20)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1517,plain,
% 0.43/0.58 ((i20 = sk(a_1098, a_1128)) <=> (i20 = i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1480])).
% 0.43/0.58 tff(1518,plain,
% 0.43/0.58 ((i20 = sk(a_1098, a_1128)) <=> (i16 = i20)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1517, 1516])).
% 0.43/0.58 tff(1519,plain,
% 0.43/0.58 ((i16 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1518])).
% 0.43/0.58 tff(1520,plain,
% 0.43/0.58 ((~(i16 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1519])).
% 0.43/0.58 tff(1521,plain,
% 0.43/0.58 ((~(i16 = i20)) <=> (~(i16 = i20))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1522,axiom,(~(i16 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp164')).
% 0.43/0.58 tff(1523,plain,
% 0.43/0.58 (~(i16 = i20)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 0.43/0.58 tff(1524,plain,
% 0.43/0.58 (~(i20 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1523, 1520])).
% 0.43/0.58 tff(1525,plain,
% 0.43/0.58 ((i20 = sk(a_1098, a_1128)) | (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[265, 31])).
% 0.43/0.58 tff(1526,plain,
% 0.43/0.58 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1525, 1524])).
% 0.43/0.58 tff(1527,plain,
% 0.43/0.58 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[254])).
% 0.43/0.58 tff(1528,plain,
% 0.43/0.58 ((i21 = i16) <=> (i16 = i21)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1529,plain,
% 0.43/0.58 ((i21 = sk(a_1098, a_1128)) <=> (i21 = i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1480])).
% 0.43/0.58 tff(1530,plain,
% 0.43/0.58 ((i21 = sk(a_1098, a_1128)) <=> (i16 = i21)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1529, 1528])).
% 0.43/0.58 tff(1531,plain,
% 0.43/0.58 ((i16 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1530])).
% 0.43/0.58 tff(1532,plain,
% 0.43/0.58 ((~(i16 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1531])).
% 0.43/0.58 tff(1533,plain,
% 0.43/0.58 ((~(i16 = i21)) <=> (~(i16 = i21))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1534,axiom,(~(i16 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp163')).
% 0.43/0.58 tff(1535,plain,
% 0.43/0.58 (~(i16 = i21)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 0.43/0.58 tff(1536,plain,
% 0.43/0.58 (~(i21 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1535, 1532])).
% 0.43/0.58 tff(1537,plain,
% 0.43/0.58 ((i21 = sk(a_1098, a_1128)) | (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128)))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[246, 31])).
% 0.43/0.58 tff(1538,plain,
% 0.43/0.58 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1537, 1536])).
% 0.43/0.58 tff(1539,plain,
% 0.43/0.58 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[235])).
% 0.43/0.58 tff(1540,plain,
% 0.43/0.58 ((i22 = i16) <=> (i16 = i22)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1541,plain,
% 0.43/0.58 ((i22 = sk(a_1098, a_1128)) <=> (i22 = i16)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1480])).
% 0.43/0.58 tff(1542,plain,
% 0.43/0.58 ((i22 = sk(a_1098, a_1128)) <=> (i16 = i22)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1541, 1540])).
% 0.43/0.58 tff(1543,plain,
% 0.43/0.58 ((i16 = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1542])).
% 0.43/0.58 tff(1544,plain,
% 0.43/0.58 ((~(i16 = i22)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1543])).
% 0.43/0.58 tff(1545,plain,
% 0.43/0.58 ((~(i16 = i22)) <=> (~(i16 = i22))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1546,axiom,(~(i16 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp162')).
% 0.43/0.58 tff(1547,plain,
% 0.43/0.58 (~(i16 = i22)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 0.43/0.58 tff(1548,plain,
% 0.43/0.58 (~(i22 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1547, 1544])).
% 0.43/0.58 tff(1549,plain,
% 0.43/0.58 ((i22 = sk(a_1098, a_1128)) | (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[227, 31])).
% 0.43/0.58 tff(1550,plain,
% 0.43/0.58 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1549, 1548])).
% 0.43/0.58 tff(1551,plain,
% 0.43/0.58 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[216])).
% 0.43/0.58 tff(1552,plain,
% 0.43/0.58 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[208, 31, 984])).
% 0.43/0.58 tff(1553,plain,
% 0.43/0.58 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[197])).
% 0.43/0.58 tff(1554,plain,
% 0.43/0.58 ((i16 = i25) <=> (sk(a_1098, a_1128) = i25)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1479])).
% 0.43/0.58 tff(1555,plain,
% 0.43/0.58 ((i16 = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(transitivity,[status(thm)],[1554, 160])).
% 0.43/0.58 tff(1556,plain,
% 0.43/0.58 ((~(i16 = i25)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1555])).
% 0.43/0.58 tff(1557,plain,
% 0.43/0.58 (~(i25 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1224, 1556])).
% 0.43/0.58 tff(1558,plain,
% 0.43/0.58 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[919, 1557])).
% 0.43/0.58 tff(1559,assumption,(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.58 tff(1560,assumption,(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.58 tff(1561,plain,
% 0.43/0.58 (e_1130 = e_1131),
% 0.43/0.58 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 1560, 968, 1559, 957, 1558, 946, 945, 1553, 1552, 1551, 1550, 1539, 1538, 1527, 1526, 1515, 1514, 1503, 1502, 1491, 1291, 1490, 1488, 1486, 1483, 988, 1478, 1477, 1475, 986, 1472, 924, 932, 864, 929, 486, 926, 14])).
% 0.43/0.58 tff(1562,plain,
% 0.43/0.58 ($false),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[432, 1561])).
% 0.43/0.58 tff(1563,plain,((~(i16 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.58 tff(1564,plain,
% 0.43/0.58 (~(i16 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1563, 1463, 770, 1397, 1461, 1459, 768, 36, 452])).
% 0.43/0.58 tff(1565,plain,
% 0.43/0.58 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[590, 31, 1564])).
% 0.43/0.58 tff(1566,plain,
% 0.43/0.58 ((i13 = i12) <=> (i12 = i13)),
% 0.43/0.58 inference(commutativity,[status(thm)],[])).
% 0.43/0.58 tff(1567,assumption,(i12 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.58 tff(1568,plain,
% 0.43/0.58 (sk(a_1098, a_1128) = i12),
% 0.43/0.58 inference(symmetry,[status(thm)],[1567])).
% 0.43/0.58 tff(1569,plain,
% 0.43/0.58 ((i13 = sk(a_1098, a_1128)) <=> (i13 = i12)),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.58 tff(1570,plain,
% 0.43/0.58 ((i13 = sk(a_1098, a_1128)) <=> (i12 = i13)),
% 0.43/0.58 inference(transitivity,[status(thm)],[1569, 1566])).
% 0.43/0.58 tff(1571,plain,
% 0.43/0.58 ((i12 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(symmetry,[status(thm)],[1570])).
% 0.43/0.58 tff(1572,plain,
% 0.43/0.58 ((~(i12 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.43/0.58 inference(monotonicity,[status(thm)],[1571])).
% 0.43/0.58 tff(1573,plain,
% 0.43/0.58 ((~(i12 = i13)) <=> (~(i12 = i13))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(1574,axiom,(~(i12 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp233')).
% 0.43/0.58 tff(1575,plain,
% 0.43/0.58 (~(i12 = i13)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 0.43/0.58 tff(1576,plain,
% 0.43/0.58 (~(i13 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[1575, 1572])).
% 0.43/0.58 tff(1577,plain,
% 0.43/0.58 (~(i16 = sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[1563, 845, 843, 485, 1559, 1560, 838, 75, 770])).
% 0.43/0.58 tff(1578,plain,
% 0.43/0.58 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.58 inference(unit_resolution,[status(thm)],[591, 1577])).
% 0.43/0.59 tff(1579,plain,
% 0.43/0.59 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1578])).
% 0.43/0.59 tff(1580,plain,
% 0.43/0.59 (select(store(store(a_1119, i3, e3), i12, e12), i12) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[598, 1567])).
% 0.43/0.59 tff(1581,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1119, i3, e3), i12, e12), i12) = e12)),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1582,plain,
% 0.43/0.59 (select(store(store(a_1119, i3, e3), i12, e12), i12) = e12),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1581, 49])).
% 0.43/0.59 tff(1583,plain,
% 0.43/0.59 (e12 = select(store(store(a_1119, i3, e3), i12, e12), i12)),
% 0.43/0.59 inference(symmetry,[status(thm)],[1582])).
% 0.43/0.59 tff(1584,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1078, i11, e11), i12, e12), i12) = e12)),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1585,plain,
% 0.43/0.59 (select(store(store(a_1078, i11, e11), i12, e12), i12) = e12),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1584, 49])).
% 0.43/0.59 tff(1586,plain,
% 0.43/0.59 (store(a_1079, i12, e12) = store(store(a_1078, i11, e11), i12, e12)),
% 0.43/0.59 inference(symmetry,[status(thm)],[405])).
% 0.43/0.59 tff(1587,plain,
% 0.43/0.59 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1586, 1568])).
% 0.43/0.59 tff(1588,plain,
% 0.43/0.59 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = e_1131),
% 0.43/0.59 inference(transitivity,[status(thm)],[1587, 1585, 1583, 1580, 1579, 580, 988, 561, 1477, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.43/0.59 tff(1589,plain,
% 0.43/0.59 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1560])).
% 0.43/0.59 tff(1590,plain,
% 0.43/0.59 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1559])).
% 0.43/0.59 tff(1591,assumption,(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.59 tff(1592,plain,
% 0.43/0.59 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1591])).
% 0.43/0.59 tff(1593,plain,
% 0.43/0.59 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[945])).
% 0.43/0.59 tff(1594,plain,
% 0.43/0.59 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1552])).
% 0.43/0.59 tff(1595,plain,
% 0.43/0.59 ((i12 = i22) <=> (sk(a_1098, a_1128) = i22)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1567])).
% 0.43/0.59 tff(1596,plain,
% 0.43/0.59 ((i12 = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(transitivity,[status(thm)],[1595, 217])).
% 0.43/0.59 tff(1597,plain,
% 0.43/0.59 ((~(i12 = i22)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1596])).
% 0.43/0.59 tff(1598,plain,
% 0.43/0.59 ((~(i12 = i22)) <=> (~(i12 = i22))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1599,axiom,(~(i12 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp224')).
% 0.43/0.59 tff(1600,plain,
% 0.43/0.59 (~(i12 = i22)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 0.43/0.59 tff(1601,plain,
% 0.43/0.59 (~(i22 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1600, 1597])).
% 0.43/0.59 tff(1602,plain,
% 0.43/0.59 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1549, 1601])).
% 0.43/0.59 tff(1603,plain,
% 0.43/0.59 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1602])).
% 0.43/0.59 tff(1604,plain,
% 0.43/0.59 ((i21 = i12) <=> (i12 = i21)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1605,plain,
% 0.43/0.59 ((i21 = sk(a_1098, a_1128)) <=> (i21 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1606,plain,
% 0.43/0.59 ((i21 = sk(a_1098, a_1128)) <=> (i12 = i21)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1605, 1604])).
% 0.43/0.59 tff(1607,plain,
% 0.43/0.59 ((i12 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1606])).
% 0.43/0.59 tff(1608,plain,
% 0.43/0.59 ((~(i12 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1607])).
% 0.43/0.59 tff(1609,plain,
% 0.43/0.59 ((~(i12 = i21)) <=> (~(i12 = i21))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1610,axiom,(~(i12 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp225')).
% 0.43/0.59 tff(1611,plain,
% 0.43/0.59 (~(i12 = i21)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 0.43/0.59 tff(1612,plain,
% 0.43/0.59 (~(i21 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1611, 1608])).
% 0.43/0.59 tff(1613,plain,
% 0.43/0.59 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1537, 1612])).
% 0.43/0.59 tff(1614,plain,
% 0.43/0.59 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1613])).
% 0.43/0.59 tff(1615,plain,
% 0.43/0.59 ((i20 = i12) <=> (i12 = i20)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1616,plain,
% 0.43/0.59 ((i20 = sk(a_1098, a_1128)) <=> (i20 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1617,plain,
% 0.43/0.59 ((i20 = sk(a_1098, a_1128)) <=> (i12 = i20)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1616, 1615])).
% 0.43/0.59 tff(1618,plain,
% 0.43/0.59 ((i12 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1617])).
% 0.43/0.59 tff(1619,plain,
% 0.43/0.59 ((~(i12 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1618])).
% 0.43/0.59 tff(1620,plain,
% 0.43/0.59 ((~(i12 = i20)) <=> (~(i12 = i20))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1621,axiom,(~(i12 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp226')).
% 0.43/0.59 tff(1622,plain,
% 0.43/0.59 (~(i12 = i20)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 0.43/0.59 tff(1623,plain,
% 0.43/0.59 (~(i20 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1622, 1619])).
% 0.43/0.59 tff(1624,plain,
% 0.43/0.59 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1525, 1623])).
% 0.43/0.59 tff(1625,plain,
% 0.43/0.59 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1624])).
% 0.43/0.59 tff(1626,plain,
% 0.43/0.59 ((i19 = i12) <=> (i12 = i19)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1627,plain,
% 0.43/0.59 ((i19 = sk(a_1098, a_1128)) <=> (i19 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1628,plain,
% 0.43/0.59 ((i19 = sk(a_1098, a_1128)) <=> (i12 = i19)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1627, 1626])).
% 0.43/0.59 tff(1629,plain,
% 0.43/0.59 ((i12 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1628])).
% 0.43/0.59 tff(1630,plain,
% 0.43/0.59 ((~(i12 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1629])).
% 0.43/0.59 tff(1631,plain,
% 0.43/0.59 ((~(i12 = i19)) <=> (~(i12 = i19))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1632,axiom,(~(i12 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp227')).
% 0.43/0.59 tff(1633,plain,
% 0.43/0.59 (~(i12 = i19)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 0.43/0.59 tff(1634,plain,
% 0.43/0.59 (~(i19 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1633, 1630])).
% 0.43/0.59 tff(1635,plain,
% 0.43/0.59 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1513, 1634])).
% 0.43/0.59 tff(1636,plain,
% 0.43/0.59 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1635])).
% 0.43/0.59 tff(1637,plain,
% 0.43/0.59 ((i18 = i12) <=> (i12 = i18)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1638,plain,
% 0.43/0.59 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1639,plain,
% 0.43/0.59 ((i18 = sk(a_1098, a_1128)) <=> (i12 = i18)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1638, 1637])).
% 0.43/0.59 tff(1640,plain,
% 0.43/0.59 ((i12 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1639])).
% 0.43/0.59 tff(1641,plain,
% 0.43/0.59 ((~(i12 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1640])).
% 0.43/0.59 tff(1642,plain,
% 0.43/0.59 ((~(i12 = i18)) <=> (~(i12 = i18))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1643,axiom,(~(i12 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp228')).
% 0.43/0.59 tff(1644,plain,
% 0.43/0.59 (~(i12 = i18)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 0.43/0.59 tff(1645,plain,
% 0.43/0.59 (~(i18 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1644, 1641])).
% 0.43/0.59 tff(1646,plain,
% 0.43/0.59 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1501, 1645])).
% 0.43/0.59 tff(1647,plain,
% 0.43/0.59 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1646])).
% 0.43/0.59 tff(1648,plain,
% 0.43/0.59 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[341, 31, 1577])).
% 0.43/0.59 tff(1649,plain,
% 0.43/0.59 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1648])).
% 0.43/0.59 tff(1650,plain,
% 0.43/0.59 ((i15 = i12) <=> (i12 = i15)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1651,plain,
% 0.43/0.59 ((i15 = sk(a_1098, a_1128)) <=> (i15 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1652,plain,
% 0.43/0.59 ((i15 = sk(a_1098, a_1128)) <=> (i12 = i15)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1651, 1650])).
% 0.43/0.59 tff(1653,plain,
% 0.43/0.59 ((i12 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1652])).
% 0.43/0.59 tff(1654,plain,
% 0.43/0.59 ((~(i12 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1653])).
% 0.43/0.59 tff(1655,plain,
% 0.43/0.59 ((~(i12 = i15)) <=> (~(i12 = i15))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1656,axiom,(~(i12 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp231')).
% 0.43/0.59 tff(1657,plain,
% 0.43/0.59 (~(i12 = i15)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 0.43/0.59 tff(1658,plain,
% 0.43/0.59 (~(i15 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1657, 1654])).
% 0.43/0.59 tff(1659,plain,
% 0.43/0.59 ((i15 = sk(a_1098, a_1128)) | (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[360, 31])).
% 0.43/0.59 tff(1660,plain,
% 0.43/0.59 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1659, 1658])).
% 0.43/0.59 tff(1661,plain,
% 0.43/0.59 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1660])).
% 0.43/0.59 tff(1662,plain,
% 0.43/0.59 ((i14 = i12) <=> (i12 = i14)),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(1663,plain,
% 0.43/0.59 ((i14 = sk(a_1098, a_1128)) <=> (i14 = i12)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1568])).
% 0.43/0.59 tff(1664,plain,
% 0.43/0.59 ((i14 = sk(a_1098, a_1128)) <=> (i12 = i14)),
% 0.43/0.59 inference(transitivity,[status(thm)],[1663, 1662])).
% 0.43/0.59 tff(1665,plain,
% 0.43/0.59 ((i12 = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1664])).
% 0.43/0.59 tff(1666,plain,
% 0.43/0.59 ((~(i12 = i14)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1665])).
% 0.43/0.59 tff(1667,plain,
% 0.43/0.59 ((~(i12 = i14)) <=> (~(i12 = i14))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1668,axiom,(~(i12 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp232')).
% 0.43/0.59 tff(1669,plain,
% 0.43/0.59 (~(i12 = i14)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 0.43/0.59 tff(1670,plain,
% 0.43/0.59 (~(i14 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1669, 1666])).
% 0.43/0.59 tff(1671,plain,
% 0.43/0.59 ((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[379, 31])).
% 0.43/0.59 tff(1672,plain,
% 0.43/0.59 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1671, 1670])).
% 0.43/0.59 tff(1673,plain,
% 0.43/0.59 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1672])).
% 0.43/0.59 tff(1674,plain,
% 0.43/0.59 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = e_1130),
% 0.43/0.59 inference(transitivity,[status(thm)],[387, 1673, 368, 1661, 349, 1649, 330, 1292, 311, 1647, 292, 1636, 273, 1625, 254, 1614, 235, 1603, 216, 1594, 197, 1593, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 837, 82, 76, 74, 5])).
% 0.43/0.59 tff(1675,plain,
% 0.43/0.59 ((select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1674, 1588])).
% 0.43/0.59 tff(1676,plain,
% 0.43/0.59 ((e_1130 = e_1131) <=> (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1675])).
% 0.43/0.59 tff(1677,plain,
% 0.43/0.59 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1676])).
% 0.43/0.59 tff(1678,plain,
% 0.43/0.59 (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[432, 1677])).
% 0.43/0.59 tff(1679,plain,
% 0.43/0.59 ((i13 = sk(a_1098, a_1128)) | (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[398, 31])).
% 0.43/0.59 tff(1680,plain,
% 0.43/0.59 ($false),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1679, 1678, 1576])).
% 0.43/0.59 tff(1681,plain,((~(i12 = sk(a_1098, a_1128))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.59 tff(1682,plain,
% 0.43/0.59 (~(i12 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1681, 1463, 770, 452, 1466, 1397, 1459, 768, 36, 1461])).
% 0.43/0.59 tff(1683,plain,
% 0.43/0.59 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[609, 31, 1682])).
% 0.43/0.59 tff(1684,plain,
% 0.43/0.59 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1481])).
% 0.43/0.59 tff(1685,plain,
% 0.43/0.59 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1684])).
% 0.43/0.59 tff(1686,plain,
% 0.43/0.59 (store(a_1120, i12, e12) = store(store(a_1119, i3, e3), i12, e12)),
% 0.43/0.59 inference(symmetry,[status(thm)],[598])).
% 0.43/0.59 tff(1687,plain,
% 0.43/0.59 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1686])).
% 0.43/0.59 tff(1688,plain,
% 0.43/0.59 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1687])).
% 0.43/0.59 tff(1689,assumption,(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.59 tff(1690,plain,
% 0.43/0.59 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1689])).
% 0.43/0.59 tff(1691,plain,
% 0.43/0.59 (store(a_1119, i3, e3) = store(store(a_1118, i27, e27), i3, e3)),
% 0.43/0.59 inference(symmetry,[status(thm)],[617])).
% 0.43/0.59 tff(1692,plain,
% 0.43/0.59 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1691])).
% 0.43/0.59 tff(1693,plain,
% 0.43/0.59 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1692])).
% 0.43/0.59 tff(1694,assumption,(i22 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.59 tff(1695,plain,
% 0.43/0.59 ((i3 = i22) <=> (i3 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1694])).
% 0.43/0.59 tff(1696,plain,
% 0.43/0.59 ((~(i3 = i22)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1695])).
% 0.43/0.59 tff(1697,plain,
% 0.43/0.59 ((~(i3 = i22)) <=> (~(i3 = i22))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(1698,axiom,(~(i3 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp422')).
% 0.43/0.59 tff(1699,plain,
% 0.43/0.59 (~(i3 = i22)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 0.43/0.59 tff(1700,plain,
% 0.43/0.59 (~(i3 = sk(a_1098, a_1128))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[1699, 1696])).
% 0.43/0.59 tff(1701,plain,
% 0.43/0.59 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[629, 1700])).
% 0.43/0.59 tff(1702,plain,
% 0.43/0.59 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1701])).
% 0.43/0.59 tff(1703,plain,
% 0.43/0.59 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1416])).
% 0.43/0.59 tff(1704,plain,
% 0.43/0.59 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1703])).
% 0.43/0.59 tff(1705,plain,
% 0.43/0.59 (sk(a_1098, a_1128) = i22),
% 0.43/0.59 inference(symmetry,[status(thm)],[1694])).
% 0.43/0.59 tff(1706,plain,
% 0.43/0.59 (store(a_1117, i22, e22) = store(store(a_1116, i26, e26), i22, e22)),
% 0.43/0.59 inference(symmetry,[status(thm)],[655])).
% 0.43/0.59 tff(1707,plain,
% 0.43/0.59 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), i22)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[1706, 1705])).
% 0.43/0.59 tff(1708,plain,
% 0.43/0.59 (select(store(store(a_1116, i26, e26), i22, e22), i22) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.59 inference(symmetry,[status(thm)],[1707])).
% 0.43/0.59 tff(1709,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1116, i26, e26), i22, e22), i22) = e22)),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(1710,plain,
% 0.43/0.59 (select(store(store(a_1116, i26, e26), i22, e22), i22) = e22),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[1709, 49])).
% 0.43/0.59 tff(1711,plain,
% 0.43/0.59 (e22 = select(store(store(a_1116, i26, e26), i22, e22), i22)),
% 0.43/0.60 inference(symmetry,[status(thm)],[1710])).
% 0.43/0.60 tff(1712,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1088, i21, e21), i22, e22), i22) = e22)),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1713,plain,
% 0.43/0.60 (select(store(store(a_1088, i21, e21), i22, e22), i22) = e22),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1712, 49])).
% 0.43/0.60 tff(1714,plain,
% 0.43/0.60 (select(store(store(a_1088, i21, e21), i22, e22), i22) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[215, 1694])).
% 0.43/0.60 tff(1715,plain,
% 0.43/0.60 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), i22)),
% 0.43/0.60 inference(symmetry,[status(thm)],[1714])).
% 0.43/0.60 tff(1716,plain,
% 0.43/0.60 (~(i25 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1218, 1042, 75, 838, 845, 844, 843, 485, 840])).
% 0.43/0.60 tff(1717,plain,
% 0.43/0.60 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[919, 1716])).
% 0.43/0.60 tff(1718,plain,
% 0.43/0.60 (e_1130 = e_1131),
% 0.43/0.60 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 841, 968, 1026, 957, 1717, 946, 945, 1553, 1552, 1715, 1713, 1711, 1708, 1016, 1704, 1702, 1693, 1690, 1688, 1043, 1685, 988, 1478, 987, 1475, 986, 1472, 924, 932, 864, 929, 486, 926, 14])).
% 0.43/0.60 tff(1719,plain,
% 0.43/0.60 ($false),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[432, 1718])).
% 0.43/0.60 tff(1720,plain,((~(i22 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i27 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.60 tff(1721,plain,
% 0.43/0.60 (~(i22 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1720, 1683, 1397, 1458, 818, 1461, 1565, 768, 36, 452])).
% 0.43/0.60 tff(1722,plain,
% 0.43/0.60 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[227, 31, 1721])).
% 0.43/0.60 tff(1723,plain,
% 0.43/0.60 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1722])).
% 0.43/0.60 tff(1724,plain,
% 0.43/0.60 ((i4 = i3) <=> (i3 = i4)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1725,assumption,(i3 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.60 tff(1726,plain,
% 0.43/0.60 (sk(a_1098, a_1128) = i3),
% 0.43/0.60 inference(symmetry,[status(thm)],[1725])).
% 0.43/0.60 tff(1727,plain,
% 0.43/0.60 ((i4 = sk(a_1098, a_1128)) <=> (i4 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1728,plain,
% 0.43/0.60 ((i4 = sk(a_1098, a_1128)) <=> (i3 = i4)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1727, 1724])).
% 0.43/0.60 tff(1729,plain,
% 0.43/0.60 ((i3 = i4) <=> (i4 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1728])).
% 0.43/0.60 tff(1730,plain,
% 0.43/0.60 ((~(i3 = i4)) <=> (~(i4 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1729])).
% 0.43/0.60 tff(1731,plain,
% 0.43/0.60 ((~(i3 = i4)) <=> (~(i3 = i4))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1732,axiom,(~(i3 = i4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp440')).
% 0.43/0.60 tff(1733,plain,
% 0.43/0.60 (~(i3 = i4)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 0.43/0.60 tff(1734,plain,
% 0.43/0.60 (~(i4 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1733, 1730])).
% 0.43/0.60 tff(1735,assumption,(~(i10 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.60 tff(1736,plain,
% 0.43/0.60 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[451, 1735])).
% 0.43/0.60 tff(1737,plain,
% 0.43/0.60 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1736])).
% 0.43/0.60 tff(1738,assumption,(~(i7 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.60 tff(1739,plain,
% 0.43/0.60 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[496, 1738])).
% 0.43/0.60 tff(1740,plain,
% 0.43/0.60 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1739])).
% 0.43/0.60 tff(1741,plain,
% 0.43/0.60 (~(i24 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[921, 1739, 1736, 75])).
% 0.43/0.60 tff(1742,plain,
% 0.43/0.60 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[515, 1741])).
% 0.43/0.60 tff(1743,plain,
% 0.43/0.60 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1742])).
% 0.43/0.60 tff(1744,plain,
% 0.43/0.60 (~(i23 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[983, 838, 1739, 1736, 75])).
% 0.43/0.60 tff(1745,plain,
% 0.43/0.60 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[534, 1744])).
% 0.43/0.60 tff(1746,plain,
% 0.43/0.60 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1745])).
% 0.43/0.60 tff(1747,plain,
% 0.43/0.60 (~(i16 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1563, 845, 1739, 1736, 1559, 1560, 838, 75, 770])).
% 0.43/0.60 tff(1748,plain,
% 0.43/0.60 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[591, 1747])).
% 0.43/0.60 tff(1749,plain,
% 0.43/0.60 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1748])).
% 0.43/0.60 tff(1750,plain,
% 0.43/0.60 (~(i12 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1681, 845, 1739, 1736, 1591, 1559, 1560, 838, 75, 770])).
% 0.43/0.60 tff(1751,plain,
% 0.43/0.60 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[610, 1750])).
% 0.43/0.60 tff(1752,plain,
% 0.43/0.60 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1751])).
% 0.43/0.60 tff(1753,plain,
% 0.43/0.60 (select(store(store(a_1118, i27, e27), i3, e3), i3) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[617, 1725])).
% 0.43/0.60 tff(1754,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1118, i27, e27), i3, e3), i3) = e3)),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1755,plain,
% 0.43/0.60 (select(store(store(a_1118, i27, e27), i3, e3), i3) = e3),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1754, 49])).
% 0.43/0.60 tff(1756,plain,
% 0.43/0.60 (e3 = select(store(store(a_1118, i27, e27), i3, e3), i3)),
% 0.43/0.60 inference(symmetry,[status(thm)],[1755])).
% 0.43/0.60 tff(1757,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1069, i2, e2), i3, e3), i3) = e3)),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(1758,plain,
% 0.43/0.60 (select(store(store(a_1069, i2, e2), i3, e3), i3) = e3),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1757, 49])).
% 0.43/0.60 tff(1759,plain,
% 0.43/0.60 ((a_1070 = store(a_1069, i2, e2)) <=> (a_1070 = store(a_1069, i2, e2))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1760,axiom,(a_1070 = store(a_1069, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1')).
% 0.43/0.60 tff(1761,plain,
% 0.43/0.60 (a_1070 = store(a_1069, i2, e2)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 0.43/0.60 tff(1762,plain,
% 0.43/0.60 (store(a_1069, i2, e2) = a_1070),
% 0.43/0.60 inference(symmetry,[status(thm)],[1761])).
% 0.43/0.60 tff(1763,plain,
% 0.43/0.60 (store(store(a_1069, i2, e2), i3, e3) = store(a_1070, i3, e3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1762])).
% 0.43/0.60 tff(1764,plain,
% 0.43/0.60 (store(a_1070, i3, e3) = store(store(a_1069, i2, e2), i3, e3)),
% 0.43/0.60 inference(symmetry,[status(thm)],[1763])).
% 0.43/0.60 tff(1765,plain,
% 0.43/0.60 (select(store(a_1070, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1069, i2, e2), i3, e3), i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1764, 1726])).
% 0.43/0.60 tff(1766,plain,
% 0.43/0.60 (select(store(a_1070, i3, e3), sk(a_1098, a_1128)) = e_1131),
% 0.43/0.60 inference(transitivity,[status(thm)],[1765, 1758, 1756, 1753, 1752, 599, 1749, 580, 988, 561, 1477, 542, 1746, 523, 1743, 504, 1740, 459, 1737, 25, 14])).
% 0.43/0.60 tff(1767,plain,
% 0.43/0.60 (~(i29 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[706, 1736, 75])).
% 0.43/0.60 tff(1768,plain,
% 0.43/0.60 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[94, 1767])).
% 0.43/0.60 tff(1769,plain,
% 0.43/0.60 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1768])).
% 0.43/0.60 tff(1770,plain,
% 0.43/0.60 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[189, 31, 1741])).
% 0.43/0.60 tff(1771,plain,
% 0.43/0.60 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1770])).
% 0.43/0.60 tff(1772,plain,
% 0.43/0.60 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[208, 31, 1744])).
% 0.43/0.60 tff(1773,plain,
% 0.43/0.60 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1772])).
% 0.43/0.60 tff(1774,assumption,(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.60 tff(1775,plain,
% 0.43/0.60 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1774])).
% 0.43/0.60 tff(1776,plain,
% 0.43/0.60 ((i3 = i21) <=> (sk(a_1098, a_1128) = i21)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1725])).
% 0.43/0.60 tff(1777,plain,
% 0.43/0.60 ((i3 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(transitivity,[status(thm)],[1776, 236])).
% 0.43/0.60 tff(1778,plain,
% 0.43/0.60 ((~(i3 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1777])).
% 0.43/0.60 tff(1779,plain,
% 0.43/0.60 ((~(i3 = i21)) <=> (~(i3 = i21))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1780,axiom,(~(i3 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp423')).
% 0.43/0.60 tff(1781,plain,
% 0.43/0.60 (~(i3 = i21)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1780, 1779])).
% 0.43/0.60 tff(1782,plain,
% 0.43/0.60 (~(i21 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1781, 1778])).
% 0.43/0.60 tff(1783,plain,
% 0.43/0.60 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1537, 1782])).
% 0.43/0.60 tff(1784,plain,
% 0.43/0.60 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1783])).
% 0.43/0.60 tff(1785,plain,
% 0.43/0.60 ((i20 = i3) <=> (i3 = i20)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1786,plain,
% 0.43/0.60 ((i20 = sk(a_1098, a_1128)) <=> (i20 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1787,plain,
% 0.43/0.60 ((i20 = sk(a_1098, a_1128)) <=> (i3 = i20)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1786, 1785])).
% 0.43/0.60 tff(1788,plain,
% 0.43/0.60 ((i3 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1787])).
% 0.43/0.60 tff(1789,plain,
% 0.43/0.60 ((~(i3 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1788])).
% 0.43/0.60 tff(1790,plain,
% 0.43/0.60 ((~(i3 = i20)) <=> (~(i3 = i20))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1791,axiom,(~(i3 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp424')).
% 0.43/0.60 tff(1792,plain,
% 0.43/0.60 (~(i3 = i20)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 0.43/0.60 tff(1793,plain,
% 0.43/0.60 (~(i20 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1792, 1789])).
% 0.43/0.60 tff(1794,plain,
% 0.43/0.60 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1525, 1793])).
% 0.43/0.60 tff(1795,plain,
% 0.43/0.60 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1794])).
% 0.43/0.60 tff(1796,plain,
% 0.43/0.60 ((i19 = i3) <=> (i3 = i19)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1797,plain,
% 0.43/0.60 ((i19 = sk(a_1098, a_1128)) <=> (i19 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1798,plain,
% 0.43/0.60 ((i19 = sk(a_1098, a_1128)) <=> (i3 = i19)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1797, 1796])).
% 0.43/0.60 tff(1799,plain,
% 0.43/0.60 ((i3 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1798])).
% 0.43/0.60 tff(1800,plain,
% 0.43/0.60 ((~(i3 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1799])).
% 0.43/0.60 tff(1801,plain,
% 0.43/0.60 ((~(i3 = i19)) <=> (~(i3 = i19))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1802,axiom,(~(i3 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp425')).
% 0.43/0.60 tff(1803,plain,
% 0.43/0.60 (~(i3 = i19)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 0.43/0.60 tff(1804,plain,
% 0.43/0.60 (~(i19 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1803, 1800])).
% 0.43/0.60 tff(1805,plain,
% 0.43/0.60 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1513, 1804])).
% 0.43/0.60 tff(1806,plain,
% 0.43/0.60 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1805])).
% 0.43/0.60 tff(1807,plain,
% 0.43/0.60 ((i18 = i3) <=> (i3 = i18)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1808,plain,
% 0.43/0.60 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1809,plain,
% 0.43/0.60 ((i18 = sk(a_1098, a_1128)) <=> (i3 = i18)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1808, 1807])).
% 0.43/0.60 tff(1810,plain,
% 0.43/0.60 ((i3 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1809])).
% 0.43/0.60 tff(1811,plain,
% 0.43/0.60 ((~(i3 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1810])).
% 0.43/0.60 tff(1812,plain,
% 0.43/0.60 ((~(i3 = i18)) <=> (~(i3 = i18))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1813,axiom,(~(i3 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp426')).
% 0.43/0.60 tff(1814,plain,
% 0.43/0.60 (~(i3 = i18)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 0.43/0.60 tff(1815,plain,
% 0.43/0.60 (~(i18 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1814, 1811])).
% 0.43/0.60 tff(1816,plain,
% 0.43/0.60 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1501, 1815])).
% 0.43/0.60 tff(1817,plain,
% 0.43/0.60 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1816])).
% 0.43/0.60 tff(1818,plain,
% 0.43/0.60 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[341, 31, 1747])).
% 0.43/0.60 tff(1819,plain,
% 0.43/0.60 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1818])).
% 0.43/0.60 tff(1820,plain,
% 0.43/0.60 ((i15 = i3) <=> (i3 = i15)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1821,plain,
% 0.43/0.60 ((i15 = sk(a_1098, a_1128)) <=> (i15 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1822,plain,
% 0.43/0.60 ((i15 = sk(a_1098, a_1128)) <=> (i3 = i15)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1821, 1820])).
% 0.43/0.60 tff(1823,plain,
% 0.43/0.60 ((i3 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1822])).
% 0.43/0.60 tff(1824,plain,
% 0.43/0.60 ((~(i3 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1823])).
% 0.43/0.60 tff(1825,plain,
% 0.43/0.60 ((~(i3 = i15)) <=> (~(i3 = i15))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1826,axiom,(~(i3 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp429')).
% 0.43/0.60 tff(1827,plain,
% 0.43/0.60 (~(i3 = i15)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 0.43/0.60 tff(1828,plain,
% 0.43/0.60 (~(i15 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1827, 1824])).
% 0.43/0.60 tff(1829,plain,
% 0.43/0.60 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1659, 1828])).
% 0.43/0.60 tff(1830,plain,
% 0.43/0.60 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1829])).
% 0.43/0.60 tff(1831,plain,
% 0.43/0.60 ((i14 = i3) <=> (i3 = i14)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1832,plain,
% 0.43/0.60 ((i14 = sk(a_1098, a_1128)) <=> (i14 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1833,plain,
% 0.43/0.60 ((i14 = sk(a_1098, a_1128)) <=> (i3 = i14)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1832, 1831])).
% 0.43/0.60 tff(1834,plain,
% 0.43/0.60 ((i3 = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1833])).
% 0.43/0.60 tff(1835,plain,
% 0.43/0.60 ((~(i3 = i14)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1834])).
% 0.43/0.60 tff(1836,plain,
% 0.43/0.60 ((~(i3 = i14)) <=> (~(i3 = i14))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1837,axiom,(~(i3 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp430')).
% 0.43/0.60 tff(1838,plain,
% 0.43/0.60 (~(i3 = i14)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 0.43/0.60 tff(1839,plain,
% 0.43/0.60 (~(i14 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1838, 1835])).
% 0.43/0.60 tff(1840,plain,
% 0.43/0.60 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[1671, 1839])).
% 0.43/0.60 tff(1841,plain,
% 0.43/0.60 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1840])).
% 0.43/0.60 tff(1842,plain,
% 0.43/0.60 ((i13 = i3) <=> (i3 = i13)),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(1843,plain,
% 0.43/0.60 ((i13 = sk(a_1098, a_1128)) <=> (i13 = i3)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.60 tff(1844,plain,
% 0.43/0.60 ((i13 = sk(a_1098, a_1128)) <=> (i3 = i13)),
% 0.43/0.60 inference(transitivity,[status(thm)],[1843, 1842])).
% 0.43/0.60 tff(1845,plain,
% 0.43/0.60 ((i3 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(symmetry,[status(thm)],[1844])).
% 0.43/0.60 tff(1846,plain,
% 0.43/0.60 ((~(i3 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[1845])).
% 0.43/0.60 tff(1847,plain,
% 0.43/0.60 ((~(i3 = i13)) <=> (~(i3 = i13))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(1848,axiom,(~(i3 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp431')).
% 0.43/0.60 tff(1849,plain,
% 0.43/0.60 (~(i3 = i13)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 0.43/0.60 tff(1850,plain,
% 0.43/0.60 (~(i13 = sk(a_1098, a_1128))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[1849, 1846])).
% 0.43/0.61 tff(1851,plain,
% 0.43/0.61 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1679, 1850])).
% 0.43/0.61 tff(1852,plain,
% 0.43/0.61 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1851])).
% 0.43/0.61 tff(1853,plain,
% 0.43/0.61 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[417, 31, 1750])).
% 0.43/0.61 tff(1854,plain,
% 0.43/0.61 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1853])).
% 0.43/0.61 tff(1855,plain,
% 0.43/0.61 ((i11 = i3) <=> (i3 = i11)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1856,plain,
% 0.43/0.61 ((i11 = sk(a_1098, a_1128)) <=> (i11 = i3)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.61 tff(1857,plain,
% 0.43/0.61 ((i11 = sk(a_1098, a_1128)) <=> (i3 = i11)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1856, 1855])).
% 0.43/0.61 tff(1858,plain,
% 0.43/0.61 ((i3 = i11) <=> (i11 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1857])).
% 0.43/0.61 tff(1859,plain,
% 0.43/0.61 ((~(i3 = i11)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1858])).
% 0.43/0.61 tff(1860,plain,
% 0.43/0.61 ((~(i3 = i11)) <=> (~(i3 = i11))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1861,axiom,(~(i3 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp433')).
% 0.43/0.61 tff(1862,plain,
% 0.43/0.61 (~(i3 = i11)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 0.43/0.61 tff(1863,plain,
% 0.43/0.61 (~(i11 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1862, 1859])).
% 0.43/0.61 tff(1864,plain,
% 0.43/0.61 ((i11 = sk(a_1098, a_1128)) | (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[444, 31])).
% 0.43/0.61 tff(1865,plain,
% 0.43/0.61 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1864, 1863])).
% 0.43/0.61 tff(1866,plain,
% 0.43/0.61 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1865])).
% 0.43/0.61 tff(1867,plain,
% 0.43/0.61 (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1350, 31, 1735])).
% 0.43/0.61 tff(1868,plain,
% 0.43/0.61 (select(store(a_1076, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1867])).
% 0.43/0.61 tff(1869,plain,
% 0.43/0.61 ((i9 = i3) <=> (i3 = i9)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1870,plain,
% 0.43/0.61 ((i9 = sk(a_1098, a_1128)) <=> (i9 = i3)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.61 tff(1871,plain,
% 0.43/0.61 ((i9 = sk(a_1098, a_1128)) <=> (i3 = i9)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1870, 1869])).
% 0.43/0.61 tff(1872,plain,
% 0.43/0.61 ((i3 = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1871])).
% 0.43/0.61 tff(1873,plain,
% 0.43/0.61 ((~(i3 = i9)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1872])).
% 0.43/0.61 tff(1874,plain,
% 0.43/0.61 ((~(i3 = i9)) <=> (~(i3 = i9))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1875,axiom,(~(i3 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp435')).
% 0.43/0.61 tff(1876,plain,
% 0.43/0.61 (~(i3 = i9)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 0.43/0.61 tff(1877,plain,
% 0.43/0.61 (~(i9 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1876, 1873])).
% 0.43/0.61 tff(1878,plain,
% 0.43/0.61 ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1369, 31])).
% 0.43/0.61 tff(1879,plain,
% 0.43/0.61 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1878, 1877])).
% 0.43/0.61 tff(1880,plain,
% 0.43/0.61 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1879])).
% 0.43/0.61 tff(1881,plain,
% 0.43/0.61 ((i8 = i3) <=> (i3 = i8)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1882,plain,
% 0.43/0.61 ((i8 = sk(a_1098, a_1128)) <=> (i8 = i3)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.61 tff(1883,plain,
% 0.43/0.61 ((i8 = sk(a_1098, a_1128)) <=> (i3 = i8)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1882, 1881])).
% 0.43/0.61 tff(1884,plain,
% 0.43/0.61 ((i3 = i8) <=> (i8 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1883])).
% 0.43/0.61 tff(1885,plain,
% 0.43/0.61 ((~(i3 = i8)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1884])).
% 0.43/0.61 tff(1886,plain,
% 0.43/0.61 ((~(i3 = i8)) <=> (~(i3 = i8))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1887,axiom,(~(i3 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp436')).
% 0.43/0.61 tff(1888,plain,
% 0.43/0.61 (~(i3 = i8)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 0.43/0.61 tff(1889,plain,
% 0.43/0.61 (~(i8 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1888, 1885])).
% 0.43/0.61 tff(1890,plain,
% 0.43/0.61 ((i8 = sk(a_1098, a_1128)) | (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1393, 31])).
% 0.43/0.61 tff(1891,plain,
% 0.43/0.61 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1890, 1889])).
% 0.43/0.61 tff(1892,plain,
% 0.43/0.61 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1891])).
% 0.43/0.61 tff(1893,plain,
% 0.43/0.61 (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[784])).
% 0.43/0.61 tff(1894,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_1098, a_1128)) | (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1098, a_1128)) | (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1895,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_1098, a_1128)) | (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1896,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_1098, a_1128)) | (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 0.43/0.61 tff(1897,plain,
% 0.43/0.61 (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1896, 31, 1738])).
% 0.43/0.61 tff(1898,plain,
% 0.43/0.61 (select(store(a_1073, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1897])).
% 0.43/0.61 tff(1899,plain,
% 0.43/0.61 ((a_1073 = store(a_1072, i5, e5)) <=> (a_1073 = store(a_1072, i5, e5))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1900,axiom,(a_1073 = store(a_1072, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp4')).
% 0.43/0.61 tff(1901,plain,
% 0.43/0.61 (a_1073 = store(a_1072, i5, e5)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1900, 1899])).
% 0.43/0.61 tff(1902,plain,
% 0.43/0.61 (store(a_1072, i5, e5) = a_1073),
% 0.43/0.61 inference(symmetry,[status(thm)],[1901])).
% 0.43/0.61 tff(1903,plain,
% 0.43/0.61 (store(store(a_1072, i5, e5), i6, e6) = store(a_1073, i6, e6)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1902])).
% 0.43/0.61 tff(1904,plain,
% 0.43/0.61 (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1903])).
% 0.43/0.61 tff(1905,plain,
% 0.43/0.61 ((i6 = i3) <=> (i3 = i6)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1906,plain,
% 0.43/0.61 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i3)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.61 tff(1907,plain,
% 0.43/0.61 ((i6 = sk(a_1098, a_1128)) <=> (i3 = i6)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1906, 1905])).
% 0.43/0.61 tff(1908,plain,
% 0.43/0.61 ((i3 = i6) <=> (i6 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1907])).
% 0.43/0.61 tff(1909,plain,
% 0.43/0.61 ((~(i3 = i6)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1908])).
% 0.43/0.61 tff(1910,plain,
% 0.43/0.61 ((~(i3 = i6)) <=> (~(i3 = i6))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1911,axiom,(~(i3 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp438')).
% 0.43/0.61 tff(1912,plain,
% 0.43/0.61 (~(i3 = i6)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 0.43/0.61 tff(1913,plain,
% 0.43/0.61 (~(i6 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1912, 1909])).
% 0.43/0.61 tff(1914,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1098, a_1128)) | (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1915,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1916,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1098, a_1128)) | (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 0.43/0.61 tff(1917,plain,
% 0.43/0.61 ((i6 = sk(a_1098, a_1128)) | (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1916, 31])).
% 0.43/0.61 tff(1918,plain,
% 0.43/0.61 (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1917, 1913])).
% 0.43/0.61 tff(1919,plain,
% 0.43/0.61 (select(store(a_1072, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1918])).
% 0.43/0.61 tff(1920,plain,
% 0.43/0.61 ((a_1072 = store(a_1071, i4, e4)) <=> (a_1072 = store(a_1071, i4, e4))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1921,axiom,(a_1072 = store(a_1071, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp3')).
% 0.43/0.61 tff(1922,plain,
% 0.43/0.61 (a_1072 = store(a_1071, i4, e4)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 0.43/0.61 tff(1923,plain,
% 0.43/0.61 (store(a_1071, i4, e4) = a_1072),
% 0.43/0.61 inference(symmetry,[status(thm)],[1922])).
% 0.43/0.61 tff(1924,plain,
% 0.43/0.61 (store(store(a_1071, i4, e4), i5, e5) = store(a_1072, i5, e5)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1923])).
% 0.43/0.61 tff(1925,plain,
% 0.43/0.61 (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1924])).
% 0.43/0.61 tff(1926,plain,
% 0.43/0.61 ((i5 = i3) <=> (i3 = i5)),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(1927,plain,
% 0.43/0.61 ((i5 = sk(a_1098, a_1128)) <=> (i5 = i3)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1726])).
% 0.43/0.61 tff(1928,plain,
% 0.43/0.61 ((i5 = sk(a_1098, a_1128)) <=> (i3 = i5)),
% 0.43/0.61 inference(transitivity,[status(thm)],[1927, 1926])).
% 0.43/0.61 tff(1929,plain,
% 0.43/0.61 ((i3 = i5) <=> (i5 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1928])).
% 0.43/0.61 tff(1930,plain,
% 0.43/0.61 ((~(i3 = i5)) <=> (~(i5 = sk(a_1098, a_1128)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1929])).
% 0.43/0.61 tff(1931,plain,
% 0.43/0.61 ((~(i3 = i5)) <=> (~(i3 = i5))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1932,axiom,(~(i3 = i5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp439')).
% 0.43/0.61 tff(1933,plain,
% 0.43/0.61 (~(i3 = i5)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 0.43/0.61 tff(1934,plain,
% 0.43/0.61 (~(i5 = sk(a_1098, a_1128))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1933, 1930])).
% 0.43/0.61 tff(1935,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1098, a_1128)) | (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1936,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1937,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1098, a_1128)) | (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 0.43/0.61 tff(1938,plain,
% 0.43/0.61 ((i5 = sk(a_1098, a_1128)) | (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1937, 31])).
% 0.43/0.61 tff(1939,plain,
% 0.43/0.61 (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1938, 1934])).
% 0.43/0.61 tff(1940,plain,
% 0.43/0.61 (select(store(a_1071, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1939])).
% 0.43/0.61 tff(1941,plain,
% 0.43/0.61 ((a_1071 = store(a_1070, i3, e3)) <=> (a_1071 = store(a_1070, i3, e3))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1942,axiom,(a_1071 = store(a_1070, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp2')).
% 0.43/0.61 tff(1943,plain,
% 0.43/0.61 (a_1071 = store(a_1070, i3, e3)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 0.43/0.61 tff(1944,plain,
% 0.43/0.61 (store(a_1070, i3, e3) = a_1071),
% 0.43/0.61 inference(symmetry,[status(thm)],[1943])).
% 0.43/0.61 tff(1945,plain,
% 0.43/0.61 (store(store(a_1070, i3, e3), i4, e4) = store(a_1071, i4, e4)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1944])).
% 0.43/0.61 tff(1946,plain,
% 0.43/0.61 (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1945])).
% 0.43/0.61 tff(1947,plain,
% 0.43/0.61 (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = e_1130),
% 0.43/0.61 inference(transitivity,[status(thm)],[1946, 1940, 1925, 1919, 1904, 1898, 1893, 1892, 1377, 1880, 1358, 1868, 1347, 1866, 425, 1854, 406, 1852, 387, 1841, 368, 1830, 349, 1819, 330, 1292, 311, 1817, 292, 1806, 273, 1795, 254, 1784, 235, 1775, 216, 1773, 197, 1771, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 1769, 82, 76, 74, 5])).
% 0.43/0.61 tff(1948,plain,
% 0.43/0.61 ((select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1947, 1766])).
% 0.43/0.61 tff(1949,plain,
% 0.43/0.61 ((e_1130 = e_1131) <=> (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1948])).
% 0.43/0.62 tff(1950,plain,
% 0.43/0.62 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1949])).
% 0.43/0.62 tff(1951,plain,
% 0.43/0.62 (~(select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[432, 1950])).
% 0.43/0.62 tff(1952,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1098, a_1128)) | (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1098, a_1128)) | (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1953,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1098, a_1128)) | (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1954,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1098, a_1128)) | (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 0.43/0.62 tff(1955,plain,
% 0.43/0.62 ((i4 = sk(a_1098, a_1128)) | (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1954, 31])).
% 0.43/0.62 tff(1956,plain,
% 0.43/0.62 ($false),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1955, 1951, 1734])).
% 0.43/0.62 tff(1957,plain,((~(i3 = sk(a_1098, a_1128))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i7 = sk(a_1098, a_1128)) | (i10 = sk(a_1098, a_1128)) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.62 tff(1958,plain,
% 0.43/0.62 (~(i3 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1957, 1722, 770, 1466, 1463, 1459, 768, 36, 1396, 447, 1461])).
% 0.43/0.62 tff(1959,plain,
% 0.43/0.62 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[629, 1958])).
% 0.43/0.62 tff(1960,plain,
% 0.43/0.62 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[647, 31, 1458])).
% 0.43/0.62 tff(1961,plain,
% 0.43/0.62 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[666, 31, 1721])).
% 0.43/0.62 tff(1962,plain,
% 0.43/0.62 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[685, 31, 1462])).
% 0.43/0.62 tff(1963,assumption,(i21 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.62 tff(1964,plain,
% 0.43/0.62 (sk(a_1098, a_1128) = i21),
% 0.43/0.62 inference(symmetry,[status(thm)],[1963])).
% 0.43/0.62 tff(1965,plain,
% 0.43/0.62 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i21)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1964])).
% 0.43/0.62 tff(1966,plain,
% 0.43/0.62 ((i6 = i21) <=> (i6 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1965])).
% 0.43/0.62 tff(1967,plain,
% 0.43/0.62 ((~(i6 = i21)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1966])).
% 0.43/0.62 tff(1968,plain,
% 0.43/0.62 ((~(i6 = i21)) <=> (~(i6 = i21))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1969,axiom,(~(i6 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp348')).
% 0.43/0.62 tff(1970,plain,
% 0.43/0.62 (~(i6 = i21)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 0.43/0.62 tff(1971,plain,
% 0.43/0.62 (~(i6 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1970, 1967])).
% 0.43/0.62 tff(1972,plain,
% 0.43/0.62 (select(store(store(a_1087, i20, e20), i21, e21), i21) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[234, 1963])).
% 0.43/0.62 tff(1973,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1087, i20, e20), i21, e21), i21) = e21)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1974,plain,
% 0.43/0.62 (select(store(store(a_1087, i20, e20), i21, e21), i21) = e21),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1973, 49])).
% 0.43/0.62 tff(1975,plain,
% 0.43/0.62 (e21 = select(store(store(a_1087, i20, e20), i21, e21), i21)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1974])).
% 0.43/0.62 tff(1976,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1109, i8, e8), i21, e21), i21) = e21)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1977,plain,
% 0.43/0.62 (select(store(store(a_1109, i8, e8), i21, e21), i21) = e21),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1976, 49])).
% 0.43/0.62 tff(1978,plain,
% 0.43/0.62 (store(a_1110, i21, e21) = store(store(a_1109, i8, e8), i21, e21)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1148])).
% 0.43/0.62 tff(1979,plain,
% 0.43/0.62 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), i21)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1978, 1964])).
% 0.43/0.62 tff(1980,plain,
% 0.43/0.62 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = e_1130),
% 0.43/0.62 inference(transitivity,[status(thm)],[1979, 1977, 1975, 1972, 1775, 216, 1594, 197, 1593, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 837, 82, 76, 74, 5])).
% 0.43/0.62 tff(1981,assumption,(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.62 tff(1982,plain,
% 0.43/0.62 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1981])).
% 0.43/0.62 tff(1983,assumption,(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.62 tff(1984,plain,
% 0.43/0.62 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1983])).
% 0.43/0.62 tff(1985,assumption,(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.62 tff(1986,plain,
% 0.43/0.62 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1985])).
% 0.43/0.62 tff(1987,assumption,(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))), introduced(assumption)).
% 0.43/0.62 tff(1988,plain,
% 0.43/0.62 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1987])).
% 0.43/0.62 tff(1989,plain,
% 0.43/0.62 ((i5 = i21) <=> (i5 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1963])).
% 0.43/0.62 tff(1990,plain,
% 0.43/0.62 ((~(i5 = i21)) <=> (~(i5 = sk(a_1098, a_1128)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1989])).
% 0.43/0.62 tff(1991,plain,
% 0.43/0.62 ((~(i5 = i21)) <=> (~(i5 = i21))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1992,axiom,(~(i5 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp372')).
% 0.43/0.62 tff(1993,plain,
% 0.43/0.62 (~(i5 = i21)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 0.43/0.62 tff(1994,plain,
% 0.43/0.62 (~(i5 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1993, 1990])).
% 0.43/0.62 tff(1995,plain,
% 0.43/0.62 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[704, 1994])).
% 0.43/0.62 tff(1996,plain,
% 0.43/0.62 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1995])).
% 0.43/0.62 tff(1997,plain,
% 0.43/0.62 ((i14 = sk(a_1098, a_1128)) <=> (i14 = i21)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1964])).
% 0.43/0.62 tff(1998,plain,
% 0.43/0.62 ((i14 = i21) <=> (i14 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1997])).
% 0.43/0.62 tff(1999,plain,
% 0.43/0.62 ((~(i14 = i21)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1998])).
% 0.43/0.62 tff(2000,plain,
% 0.43/0.62 ((~(i14 = i21)) <=> (~(i14 = i21))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(2001,axiom,(~(i14 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp192')).
% 0.43/0.62 tff(2002,plain,
% 0.43/0.62 (~(i14 = i21)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 0.43/0.62 tff(2003,plain,
% 0.43/0.62 (~(i14 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[2002, 1999])).
% 0.43/0.62 tff(2004,plain,
% 0.43/0.62 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1103, 2003])).
% 0.43/0.62 tff(2005,plain,
% 0.43/0.62 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2004])).
% 0.43/0.62 tff(2006,plain,
% 0.43/0.62 ((i11 = sk(a_1098, a_1128)) <=> (i11 = i21)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1964])).
% 0.43/0.62 tff(2007,plain,
% 0.43/0.62 ((i11 = i21) <=> (i11 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2006])).
% 0.43/0.62 tff(2008,plain,
% 0.43/0.62 ((~(i11 = i21)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[2007])).
% 0.43/0.62 tff(2009,plain,
% 0.43/0.62 ((~(i11 = i21)) <=> (~(i11 = i21))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(2010,axiom,(~(i11 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp243')).
% 0.43/0.62 tff(2011,plain,
% 0.43/0.62 (~(i11 = i21)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 0.43/0.62 tff(2012,plain,
% 0.43/0.62 (~(i11 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[2011, 2008])).
% 0.43/0.62 tff(2013,plain,
% 0.43/0.62 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1122, 2012])).
% 0.43/0.62 tff(2014,plain,
% 0.43/0.62 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2013])).
% 0.43/0.62 tff(2015,plain,
% 0.43/0.62 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = e_1131),
% 0.43/0.62 inference(transitivity,[status(thm)],[1130, 2014, 1111, 2005, 1092, 1086, 1081, 1996, 694, 1988, 675, 1986, 656, 1984, 637, 1982, 618, 1690, 599, 1043, 580, 988, 561, 987, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.43/0.62 tff(2016,plain,
% 0.43/0.62 ((select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[2015, 1980])).
% 0.43/0.62 tff(2017,plain,
% 0.43/0.62 ((select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.43/0.62 inference(transitivity,[status(thm)],[2016, 1])).
% 0.43/0.62 tff(2018,plain,
% 0.43/0.62 ((e_1130 = e_1131) <=> (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2017])).
% 0.43/0.62 tff(2019,plain,
% 0.43/0.62 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[2018])).
% 0.43/0.62 tff(2020,plain,
% 0.43/0.62 (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[432, 2019])).
% 0.43/0.62 tff(2021,plain,
% 0.43/0.62 ($false),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1141, 2020, 1971])).
% 0.43/0.62 tff(2022,plain,((~(i21 = sk(a_1098, a_1128))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.62 tff(2023,plain,
% 0.43/0.62 (~(i21 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[2022, 1962, 452, 1466, 1459, 768, 36, 1463, 1961, 1960, 1959, 1683, 1565, 1461, 818, 1397, 1722])).
% 0.43/0.62 tff(2024,plain,
% 0.43/0.62 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1537, 2023])).
% 0.43/0.62 tff(2025,plain,
% 0.43/0.62 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2024])).
% 0.43/0.62 tff(2026,plain,
% 0.43/0.62 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[514, 31, 460])).
% 0.43/0.62 tff(2027,plain,
% 0.43/0.62 ((i6 = i5) <=> (i5 = i6)),
% 0.43/0.62 inference(commutativity,[status(thm)],[])).
% 0.43/0.62 tff(2028,assumption,(i5 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.43/0.62 tff(2029,plain,
% 0.43/0.62 (sk(a_1098, a_1128) = i5),
% 0.43/0.62 inference(symmetry,[status(thm)],[2028])).
% 0.43/0.62 tff(2030,plain,
% 0.43/0.62 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i5)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[2029])).
% 0.43/0.62 tff(2031,plain,
% 0.43/0.62 ((i6 = sk(a_1098, a_1128)) <=> (i5 = i6)),
% 0.43/0.62 inference(transitivity,[status(thm)],[2030, 2027])).
% 0.43/0.62 tff(2032,plain,
% 0.43/0.62 ((i5 = i6) <=> (i6 = sk(a_1098, a_1128))),
% 0.43/0.62 inference(symmetry,[status(thm)],[2031])).
% 0.43/0.62 tff(2033,plain,
% 0.43/0.62 ((~(i5 = i6)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2032])).
% 0.43/0.63 tff(2034,plain,
% 0.43/0.63 ((~(i5 = i6)) <=> (~(i5 = i6))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(2035,axiom,(~(i5 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp387')).
% 0.43/0.63 tff(2036,plain,
% 0.43/0.63 (~(i5 = i6)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 0.43/0.63 tff(2037,plain,
% 0.43/0.63 (~(i6 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2036, 2033])).
% 0.43/0.63 tff(2038,plain,
% 0.43/0.63 (~(i3 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1957, 845, 1774, 1591, 1559, 1560, 838, 75, 1738, 1735, 770])).
% 0.43/0.63 tff(2039,plain,
% 0.43/0.63 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[629, 2038])).
% 0.43/0.63 tff(2040,plain,
% 0.43/0.63 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2039])).
% 0.43/0.63 tff(2041,plain,
% 0.43/0.63 (select(store(store(a_1114, i29, e29), i5, e5), i5) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[693, 2028])).
% 0.43/0.63 tff(2042,plain,
% 0.43/0.63 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1114, i29, e29), i5, e5), i5) = e5)),
% 0.43/0.63 inference(quant_inst,[status(thm)],[])).
% 0.43/0.63 tff(2043,plain,
% 0.43/0.63 (select(store(store(a_1114, i29, e29), i5, e5), i5) = e5),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[2042, 49])).
% 0.43/0.63 tff(2044,plain,
% 0.43/0.63 (e5 = select(store(store(a_1114, i29, e29), i5, e5), i5)),
% 0.43/0.63 inference(symmetry,[status(thm)],[2043])).
% 0.43/0.63 tff(2045,plain,
% 0.43/0.63 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1071, i4, e4), i5, e5), i5) = e5)),
% 0.43/0.63 inference(quant_inst,[status(thm)],[])).
% 0.43/0.63 tff(2046,plain,
% 0.43/0.63 (select(store(store(a_1071, i4, e4), i5, e5), i5) = e5),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[2045, 49])).
% 0.43/0.63 tff(2047,plain,
% 0.43/0.63 (store(a_1072, i5, e5) = store(store(a_1071, i4, e4), i5, e5)),
% 0.43/0.63 inference(symmetry,[status(thm)],[1924])).
% 0.43/0.63 tff(2048,plain,
% 0.43/0.63 (select(store(a_1072, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1071, i4, e4), i5, e5), i5)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2047, 2029])).
% 0.43/0.63 tff(2049,plain,
% 0.43/0.63 (select(store(a_1072, i5, e5), sk(a_1098, a_1128)) = e_1131),
% 0.43/0.63 inference(transitivity,[status(thm)],[2048, 2046, 2044, 2041, 1988, 675, 1986, 656, 1984, 637, 2040, 618, 1752, 599, 1749, 580, 988, 561, 1477, 542, 1746, 523, 1743, 504, 1740, 459, 1737, 25, 14])).
% 0.43/0.63 tff(2050,plain,
% 0.43/0.63 (~(i21 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 75, 1987, 1985, 1983, 2039, 1751, 1748, 845, 1476, 1739, 1736])).
% 0.43/0.63 tff(2051,plain,
% 0.43/0.63 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1537, 2050])).
% 0.43/0.63 tff(2052,plain,
% 0.43/0.63 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2051])).
% 0.43/0.63 tff(2053,plain,
% 0.43/0.63 ((i5 = i20) <=> (sk(a_1098, a_1128) = i20)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2028])).
% 0.43/0.63 tff(2054,plain,
% 0.43/0.63 ((i5 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(transitivity,[status(thm)],[2053, 255])).
% 0.43/0.63 tff(2055,plain,
% 0.43/0.63 ((~(i5 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2054])).
% 0.43/0.63 tff(2056,plain,
% 0.43/0.63 ((~(i5 = i20)) <=> (~(i5 = i20))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(2057,axiom,(~(i5 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp373')).
% 0.43/0.63 tff(2058,plain,
% 0.43/0.63 (~(i5 = i20)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 0.43/0.63 tff(2059,plain,
% 0.43/0.63 (~(i20 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2058, 2055])).
% 0.43/0.63 tff(2060,plain,
% 0.43/0.63 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1525, 2059])).
% 0.43/0.63 tff(2061,plain,
% 0.43/0.63 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2060])).
% 0.43/0.63 tff(2062,plain,
% 0.43/0.63 ((i19 = i5) <=> (i5 = i19)),
% 0.43/0.63 inference(commutativity,[status(thm)],[])).
% 0.43/0.63 tff(2063,plain,
% 0.43/0.63 ((i19 = sk(a_1098, a_1128)) <=> (i19 = i5)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.43/0.63 tff(2064,plain,
% 0.43/0.63 ((i19 = sk(a_1098, a_1128)) <=> (i5 = i19)),
% 0.43/0.63 inference(transitivity,[status(thm)],[2063, 2062])).
% 0.43/0.63 tff(2065,plain,
% 0.43/0.63 ((i5 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2064])).
% 0.43/0.63 tff(2066,plain,
% 0.43/0.63 ((~(i5 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2065])).
% 0.43/0.63 tff(2067,plain,
% 0.43/0.63 ((~(i5 = i19)) <=> (~(i5 = i19))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(2068,axiom,(~(i5 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp374')).
% 0.43/0.63 tff(2069,plain,
% 0.43/0.63 (~(i5 = i19)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 0.43/0.63 tff(2070,plain,
% 0.43/0.63 (~(i19 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2069, 2066])).
% 0.43/0.63 tff(2071,plain,
% 0.43/0.63 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1513, 2070])).
% 0.43/0.63 tff(2072,plain,
% 0.43/0.63 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2071])).
% 0.43/0.63 tff(2073,plain,
% 0.43/0.63 ((i18 = i5) <=> (i5 = i18)),
% 0.43/0.63 inference(commutativity,[status(thm)],[])).
% 0.43/0.63 tff(2074,plain,
% 0.43/0.63 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i5)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.43/0.63 tff(2075,plain,
% 0.43/0.63 ((i18 = sk(a_1098, a_1128)) <=> (i5 = i18)),
% 0.43/0.63 inference(transitivity,[status(thm)],[2074, 2073])).
% 0.43/0.63 tff(2076,plain,
% 0.43/0.63 ((i5 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2075])).
% 0.43/0.63 tff(2077,plain,
% 0.43/0.63 ((~(i5 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2076])).
% 0.43/0.63 tff(2078,plain,
% 0.43/0.63 ((~(i5 = i18)) <=> (~(i5 = i18))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(2079,axiom,(~(i5 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp375')).
% 0.43/0.63 tff(2080,plain,
% 0.43/0.63 (~(i5 = i18)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 0.43/0.63 tff(2081,plain,
% 0.43/0.63 (~(i18 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2080, 2077])).
% 0.43/0.63 tff(2082,plain,
% 0.43/0.63 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1501, 2081])).
% 0.43/0.63 tff(2083,plain,
% 0.43/0.63 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2082])).
% 0.43/0.63 tff(2084,plain,
% 0.43/0.63 ((i15 = i5) <=> (i5 = i15)),
% 0.43/0.63 inference(commutativity,[status(thm)],[])).
% 0.43/0.63 tff(2085,plain,
% 0.43/0.63 ((i15 = sk(a_1098, a_1128)) <=> (i15 = i5)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.43/0.63 tff(2086,plain,
% 0.43/0.63 ((i15 = sk(a_1098, a_1128)) <=> (i5 = i15)),
% 0.43/0.63 inference(transitivity,[status(thm)],[2085, 2084])).
% 0.43/0.63 tff(2087,plain,
% 0.43/0.63 ((i5 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(symmetry,[status(thm)],[2086])).
% 0.43/0.63 tff(2088,plain,
% 0.43/0.63 ((~(i5 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[2087])).
% 0.43/0.63 tff(2089,plain,
% 0.43/0.63 ((~(i5 = i15)) <=> (~(i5 = i15))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(2090,axiom,(~(i5 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp378')).
% 0.43/0.63 tff(2091,plain,
% 0.43/0.63 (~(i5 = i15)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 0.43/0.63 tff(2092,plain,
% 0.43/0.63 (~(i15 = sk(a_1098, a_1128))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[2091, 2088])).
% 0.43/0.63 tff(2093,plain,
% 0.43/0.63 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1659, 2092])).
% 0.48/0.63 tff(2094,plain,
% 0.48/0.63 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2093])).
% 0.48/0.63 tff(2095,plain,
% 0.48/0.63 ((i14 = i5) <=> (i5 = i14)),
% 0.48/0.63 inference(commutativity,[status(thm)],[])).
% 0.48/0.63 tff(2096,plain,
% 0.48/0.63 ((i14 = sk(a_1098, a_1128)) <=> (i14 = i5)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.48/0.63 tff(2097,plain,
% 0.48/0.63 ((i14 = sk(a_1098, a_1128)) <=> (i5 = i14)),
% 0.48/0.63 inference(transitivity,[status(thm)],[2096, 2095])).
% 0.48/0.63 tff(2098,plain,
% 0.48/0.63 ((i5 = i14) <=> (i14 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2097])).
% 0.48/0.63 tff(2099,plain,
% 0.48/0.63 ((~(i5 = i14)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2098])).
% 0.48/0.63 tff(2100,plain,
% 0.48/0.63 ((~(i5 = i14)) <=> (~(i5 = i14))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(2101,axiom,(~(i5 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp379')).
% 0.48/0.63 tff(2102,plain,
% 0.48/0.63 (~(i5 = i14)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 0.48/0.63 tff(2103,plain,
% 0.48/0.63 (~(i14 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2102, 2099])).
% 0.48/0.63 tff(2104,plain,
% 0.48/0.63 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1671, 2103])).
% 0.48/0.63 tff(2105,plain,
% 0.48/0.63 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2104])).
% 0.48/0.63 tff(2106,plain,
% 0.48/0.63 ((i13 = i5) <=> (i5 = i13)),
% 0.48/0.63 inference(commutativity,[status(thm)],[])).
% 0.48/0.63 tff(2107,plain,
% 0.48/0.63 ((i13 = sk(a_1098, a_1128)) <=> (i13 = i5)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.48/0.63 tff(2108,plain,
% 0.48/0.63 ((i13 = sk(a_1098, a_1128)) <=> (i5 = i13)),
% 0.48/0.63 inference(transitivity,[status(thm)],[2107, 2106])).
% 0.48/0.63 tff(2109,plain,
% 0.48/0.63 ((i5 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2108])).
% 0.48/0.63 tff(2110,plain,
% 0.48/0.63 ((~(i5 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2109])).
% 0.48/0.63 tff(2111,plain,
% 0.48/0.63 ((~(i5 = i13)) <=> (~(i5 = i13))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(2112,axiom,(~(i5 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp380')).
% 0.48/0.63 tff(2113,plain,
% 0.48/0.63 (~(i5 = i13)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 0.48/0.63 tff(2114,plain,
% 0.48/0.63 (~(i13 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2113, 2110])).
% 0.48/0.63 tff(2115,plain,
% 0.48/0.63 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1679, 2114])).
% 0.48/0.63 tff(2116,plain,
% 0.48/0.63 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2115])).
% 0.48/0.63 tff(2117,plain,
% 0.48/0.63 ((i11 = i5) <=> (i5 = i11)),
% 0.48/0.63 inference(commutativity,[status(thm)],[])).
% 0.48/0.63 tff(2118,plain,
% 0.48/0.63 ((i11 = sk(a_1098, a_1128)) <=> (i11 = i5)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.48/0.63 tff(2119,plain,
% 0.48/0.63 ((i11 = sk(a_1098, a_1128)) <=> (i5 = i11)),
% 0.48/0.63 inference(transitivity,[status(thm)],[2118, 2117])).
% 0.48/0.63 tff(2120,plain,
% 0.48/0.63 ((i5 = i11) <=> (i11 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2119])).
% 0.48/0.63 tff(2121,plain,
% 0.48/0.63 ((~(i5 = i11)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2120])).
% 0.48/0.63 tff(2122,plain,
% 0.48/0.63 ((~(i5 = i11)) <=> (~(i5 = i11))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(2123,axiom,(~(i5 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp382')).
% 0.48/0.63 tff(2124,plain,
% 0.48/0.63 (~(i5 = i11)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 0.48/0.63 tff(2125,plain,
% 0.48/0.63 (~(i11 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2124, 2121])).
% 0.48/0.63 tff(2126,plain,
% 0.48/0.63 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1864, 2125])).
% 0.48/0.63 tff(2127,plain,
% 0.48/0.63 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2126])).
% 0.48/0.63 tff(2128,plain,
% 0.48/0.63 ((i9 = i5) <=> (i5 = i9)),
% 0.48/0.63 inference(commutativity,[status(thm)],[])).
% 0.48/0.63 tff(2129,plain,
% 0.48/0.63 ((i9 = sk(a_1098, a_1128)) <=> (i9 = i5)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.48/0.63 tff(2130,plain,
% 0.48/0.63 ((i9 = sk(a_1098, a_1128)) <=> (i5 = i9)),
% 0.48/0.63 inference(transitivity,[status(thm)],[2129, 2128])).
% 0.48/0.63 tff(2131,plain,
% 0.48/0.63 ((i5 = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2130])).
% 0.48/0.63 tff(2132,plain,
% 0.48/0.63 ((~(i5 = i9)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2131])).
% 0.48/0.63 tff(2133,plain,
% 0.48/0.63 ((~(i5 = i9)) <=> (~(i5 = i9))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(2134,axiom,(~(i5 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp384')).
% 0.48/0.63 tff(2135,plain,
% 0.48/0.63 (~(i5 = i9)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 0.48/0.63 tff(2136,plain,
% 0.48/0.63 (~(i9 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2135, 2132])).
% 0.48/0.63 tff(2137,plain,
% 0.48/0.63 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1878, 2136])).
% 0.48/0.63 tff(2138,plain,
% 0.48/0.63 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2137])).
% 0.48/0.63 tff(2139,plain,
% 0.48/0.63 ((i8 = i5) <=> (i5 = i8)),
% 0.48/0.63 inference(commutativity,[status(thm)],[])).
% 0.48/0.63 tff(2140,plain,
% 0.48/0.63 ((i8 = sk(a_1098, a_1128)) <=> (i8 = i5)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2029])).
% 0.48/0.63 tff(2141,plain,
% 0.48/0.63 ((i8 = sk(a_1098, a_1128)) <=> (i5 = i8)),
% 0.48/0.63 inference(transitivity,[status(thm)],[2140, 2139])).
% 0.48/0.63 tff(2142,plain,
% 0.48/0.63 ((i5 = i8) <=> (i8 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2141])).
% 0.48/0.63 tff(2143,plain,
% 0.48/0.63 ((~(i5 = i8)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2142])).
% 0.48/0.63 tff(2144,plain,
% 0.48/0.63 ((~(i5 = i8)) <=> (~(i5 = i8))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(2145,axiom,(~(i5 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp385')).
% 0.48/0.63 tff(2146,plain,
% 0.48/0.63 (~(i5 = i8)),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 0.48/0.63 tff(2147,plain,
% 0.48/0.63 (~(i8 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[2146, 2143])).
% 0.48/0.63 tff(2148,plain,
% 0.48/0.63 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1890, 2147])).
% 0.48/0.63 tff(2149,plain,
% 0.48/0.63 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2148])).
% 0.48/0.63 tff(2150,plain,
% 0.48/0.63 (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = e_1130),
% 0.48/0.63 inference(transitivity,[status(thm)],[1904, 1898, 1893, 2149, 1377, 2138, 1358, 1868, 1347, 2127, 425, 1854, 406, 2116, 387, 2105, 368, 2094, 349, 1819, 330, 1292, 311, 2083, 292, 2072, 273, 2061, 254, 2052, 235, 1775, 216, 1773, 197, 1771, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 1769, 82, 76, 74, 5])).
% 0.48/0.63 tff(2151,plain,
% 0.48/0.63 ((select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2150, 2049])).
% 0.48/0.63 tff(2152,plain,
% 0.48/0.63 ((e_1130 = e_1131) <=> (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))),
% 0.48/0.63 inference(symmetry,[status(thm)],[2151])).
% 0.48/0.63 tff(2153,plain,
% 0.48/0.63 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2152])).
% 0.48/0.63 tff(2154,plain,
% 0.48/0.63 (~(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[432, 2153])).
% 0.48/0.63 tff(2155,plain,
% 0.48/0.63 ($false),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1917, 2154, 2037])).
% 0.48/0.63 tff(2156,plain,((~(i5 = sk(a_1098, a_1128))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i7 = sk(a_1098, a_1128)) | (i10 = sk(a_1098, a_1128)) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.63 tff(2157,plain,
% 0.48/0.63 (~(i5 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[2156, 1962, 770, 1960, 1461, 1722, 1466, 1463, 1459, 768, 36, 1396, 447, 1961])).
% 0.48/0.63 tff(2158,plain,
% 0.48/0.63 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[703, 31, 2157])).
% 0.48/0.63 tff(2159,assumption,(i14 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.48/0.63 tff(2160,plain,
% 0.48/0.63 ((i14 = i20) <=> (sk(a_1098, a_1128) = i20)),
% 0.48/0.63 inference(monotonicity,[status(thm)],[2159])).
% 0.48/0.63 tff(2161,plain,
% 0.48/0.63 ((i14 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(transitivity,[status(thm)],[2160, 255])).
% 0.48/0.63 tff(2162,plain,
% 0.48/0.63 ((i20 = sk(a_1098, a_1128)) <=> (i14 = i20)),
% 0.48/0.63 inference(symmetry,[status(thm)],[2161])).
% 0.48/0.63 tff(2163,assumption,(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))), introduced(assumption)).
% 0.48/0.63 tff(2164,plain,
% 0.48/0.63 (~(i27 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1457, 843, 788, 718, 75])).
% 0.48/0.63 tff(2165,plain,
% 0.48/0.63 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[798, 2164])).
% 0.48/0.63 tff(2166,plain,
% 0.48/0.63 (~(i26 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1024, 826, 75, 2164, 818, 843, 718, 789])).
% 0.48/0.63 tff(2167,plain,
% 0.48/0.63 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[911, 2166])).
% 0.48/0.63 tff(2168,plain,
% 0.48/0.63 (~(i16 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1563, 2167, 770, 843, 826, 2165, 789, 75, 718])).
% 0.48/0.63 tff(2169,plain,
% 0.48/0.63 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[590, 31, 2168])).
% 0.48/0.63 tff(2170,plain,
% 0.48/0.63 (~(i12 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1681, 2167, 770, 718, 1233, 843, 2165, 789, 75, 826])).
% 0.48/0.63 tff(2171,plain,
% 0.48/0.63 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[609, 31, 2170])).
% 0.48/0.63 tff(2172,plain,
% 0.48/0.63 (~(i22 = sk(a_1098, a_1128))),
% 0.48/0.63 inference(unit_resolution,[status(thm)],[1720, 2171, 843, 2164, 818, 826, 2169, 789, 75, 718])).
% 0.48/0.64 tff(2173,plain,
% 0.48/0.64 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[227, 31, 2172])).
% 0.48/0.64 tff(2174,plain,
% 0.48/0.64 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[685, 31, 2166])).
% 0.48/0.64 tff(2175,plain,
% 0.48/0.64 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[647, 31, 2164])).
% 0.48/0.64 tff(2176,plain,
% 0.48/0.64 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[666, 31, 2172])).
% 0.48/0.64 tff(2177,plain,
% 0.48/0.64 ((i15 = i14) <=> (i14 = i15)),
% 0.48/0.64 inference(commutativity,[status(thm)],[])).
% 0.48/0.64 tff(2178,plain,
% 0.48/0.64 (sk(a_1098, a_1128) = i14),
% 0.48/0.64 inference(symmetry,[status(thm)],[2159])).
% 0.48/0.64 tff(2179,plain,
% 0.48/0.64 ((i15 = sk(a_1098, a_1128)) <=> (i15 = i14)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2178])).
% 0.48/0.64 tff(2180,plain,
% 0.48/0.64 ((i15 = sk(a_1098, a_1128)) <=> (i14 = i15)),
% 0.48/0.64 inference(transitivity,[status(thm)],[2179, 2177])).
% 0.48/0.64 tff(2181,plain,
% 0.48/0.64 ((i14 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2180])).
% 0.48/0.64 tff(2182,plain,
% 0.48/0.64 ((~(i14 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2181])).
% 0.48/0.64 tff(2183,plain,
% 0.48/0.64 ((~(i14 = i15)) <=> (~(i14 = i15))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(2184,axiom,(~(i14 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp198')).
% 0.48/0.64 tff(2185,plain,
% 0.48/0.64 (~(i14 = i15)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 0.48/0.64 tff(2186,plain,
% 0.48/0.64 (~(i15 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2185, 2182])).
% 0.48/0.64 tff(2187,plain,
% 0.48/0.64 (~(i12 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1681, 845, 843, 485, 1591, 1559, 1560, 838, 75, 770])).
% 0.48/0.64 tff(2188,plain,
% 0.48/0.64 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[610, 2187])).
% 0.48/0.64 tff(2189,plain,
% 0.48/0.64 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2188])).
% 0.48/0.64 tff(2190,plain,
% 0.48/0.64 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2163])).
% 0.48/0.64 tff(2191,plain,
% 0.48/0.64 (select(store(store(a_1112, i11, e11), i14, e14), i14) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1091, 2159])).
% 0.48/0.64 tff(2192,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1112, i11, e11), i14, e14), i14) = e14)),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(2193,plain,
% 0.48/0.64 (select(store(store(a_1112, i11, e11), i14, e14), i14) = e14),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2192, 49])).
% 0.48/0.64 tff(2194,plain,
% 0.48/0.64 (e14 = select(store(store(a_1112, i11, e11), i14, e14), i14)),
% 0.48/0.64 inference(symmetry,[status(thm)],[2193])).
% 0.48/0.64 tff(2195,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1080, i13, e13), i14, e14), i14) = e14)),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(2196,plain,
% 0.48/0.64 (select(store(store(a_1080, i13, e13), i14, e14), i14) = e14),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2195, 49])).
% 0.48/0.64 tff(2197,plain,
% 0.48/0.64 (store(a_1081, i14, e14) = store(store(a_1080, i13, e13), i14, e14)),
% 0.48/0.64 inference(symmetry,[status(thm)],[367])).
% 0.48/0.64 tff(2198,plain,
% 0.48/0.64 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), i14)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2197, 2178])).
% 0.48/0.64 tff(2199,plain,
% 0.48/0.64 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = e_1131),
% 0.48/0.64 inference(transitivity,[status(thm)],[2198, 2196, 2194, 2191, 1086, 1081, 2190, 694, 1988, 675, 1986, 656, 1984, 637, 1982, 618, 2189, 599, 1579, 580, 988, 561, 1477, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.48/0.64 tff(2200,plain,
% 0.48/0.64 (~(i21 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 75, 1987, 1985, 1983, 1981, 2188, 1578, 845, 1476, 843, 485])).
% 0.48/0.64 tff(2201,plain,
% 0.48/0.64 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1537, 2200])).
% 0.48/0.64 tff(2202,plain,
% 0.48/0.64 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2201])).
% 0.48/0.64 tff(2203,assumption,(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))), introduced(assumption)).
% 0.48/0.64 tff(2204,plain,
% 0.48/0.64 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2203])).
% 0.48/0.64 tff(2205,plain,
% 0.48/0.64 ((i14 = i19) <=> (sk(a_1098, a_1128) = i19)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2159])).
% 0.48/0.64 tff(2206,plain,
% 0.48/0.64 ((i14 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(transitivity,[status(thm)],[2205, 274])).
% 0.48/0.64 tff(2207,plain,
% 0.48/0.64 ((~(i14 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2206])).
% 0.48/0.64 tff(2208,plain,
% 0.48/0.64 ((~(i14 = i19)) <=> (~(i14 = i19))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(2209,axiom,(~(i14 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp194')).
% 0.48/0.64 tff(2210,plain,
% 0.48/0.64 (~(i14 = i19)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2209, 2208])).
% 0.48/0.64 tff(2211,plain,
% 0.48/0.64 (~(i19 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2210, 2207])).
% 0.48/0.64 tff(2212,plain,
% 0.48/0.64 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1513, 2211])).
% 0.48/0.64 tff(2213,plain,
% 0.48/0.64 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2212])).
% 0.48/0.64 tff(2214,plain,
% 0.48/0.64 ((i18 = i14) <=> (i14 = i18)),
% 0.48/0.64 inference(commutativity,[status(thm)],[])).
% 0.48/0.64 tff(2215,plain,
% 0.48/0.64 ((i18 = sk(a_1098, a_1128)) <=> (i18 = i14)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2178])).
% 0.48/0.64 tff(2216,plain,
% 0.48/0.64 ((i18 = sk(a_1098, a_1128)) <=> (i14 = i18)),
% 0.48/0.64 inference(transitivity,[status(thm)],[2215, 2214])).
% 0.48/0.64 tff(2217,plain,
% 0.48/0.64 ((i14 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2216])).
% 0.48/0.64 tff(2218,plain,
% 0.48/0.64 ((~(i14 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2217])).
% 0.48/0.64 tff(2219,plain,
% 0.48/0.64 ((~(i14 = i18)) <=> (~(i14 = i18))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(2220,axiom,(~(i14 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp195')).
% 0.48/0.64 tff(2221,plain,
% 0.48/0.64 (~(i14 = i18)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 0.48/0.64 tff(2222,plain,
% 0.48/0.64 (~(i18 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2221, 2218])).
% 0.48/0.64 tff(2223,plain,
% 0.48/0.64 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1501, 2222])).
% 0.48/0.64 tff(2224,plain,
% 0.48/0.64 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2223])).
% 0.48/0.64 tff(2225,plain,
% 0.48/0.64 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = e_1130),
% 0.48/0.64 inference(transitivity,[status(thm)],[349, 1649, 330, 1292, 311, 2224, 292, 2213, 273, 2204, 254, 2202, 235, 1775, 216, 1594, 197, 1593, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 837, 82, 76, 74, 5])).
% 0.48/0.64 tff(2226,plain,
% 0.48/0.64 ((select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2225, 2199])).
% 0.48/0.64 tff(2227,plain,
% 0.48/0.64 ((e_1130 = e_1131) <=> (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2226])).
% 0.48/0.64 tff(2228,plain,
% 0.48/0.64 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[2227])).
% 0.48/0.64 tff(2229,plain,
% 0.48/0.64 (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[432, 2228])).
% 0.48/0.64 tff(2230,plain,
% 0.48/0.64 ($false),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1659, 2229, 2186])).
% 0.48/0.64 tff(2231,plain,((~(i14 = sk(a_1098, a_1128))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.64 tff(2232,plain,
% 0.48/0.64 (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2231, 2159, 770, 2176, 2175, 1981, 826, 843, 718, 2174, 2173, 1233, 2167, 2165, 789, 75, 2163])).
% 0.48/0.64 tff(2233,plain,
% 0.48/0.64 (i20 = sk(a_1098, a_1128)),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1525, 2232])).
% 0.48/0.64 tff(2234,plain,
% 0.48/0.64 (i14 = i20),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2233, 2162])).
% 0.48/0.64 tff(2235,plain,
% 0.48/0.64 ((~(i14 = i20)) <=> (~(i14 = i20))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(2236,axiom,(~(i14 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp193')).
% 0.48/0.64 tff(2237,plain,
% 0.48/0.64 (~(i14 = i20)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 0.48/0.64 tff(2238,plain,
% 0.48/0.64 ($false),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2237, 2234])).
% 0.48/0.64 tff(2239,plain,((~(i14 = sk(a_1098, a_1128))) | (i17 = sk(a_1098, a_1128)) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.64 tff(2240,plain,
% 0.48/0.64 (~(i14 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2239, 770, 1959, 1397, 36, 2158])).
% 0.48/0.64 tff(2241,plain,
% 0.48/0.64 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1103, 2240])).
% 0.48/0.64 tff(2242,plain,
% 0.48/0.64 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2165])).
% 0.48/0.64 tff(2243,plain,
% 0.48/0.64 (~(i26 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1024, 826, 75, 2164, 844, 843, 718, 789])).
% 0.48/0.64 tff(2244,plain,
% 0.48/0.64 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[911, 2243])).
% 0.48/0.64 tff(2245,plain,
% 0.48/0.64 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2244])).
% 0.48/0.64 tff(2246,assumption,(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))), introduced(assumption)).
% 0.48/0.64 tff(2247,plain,
% 0.48/0.64 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2246])).
% 0.48/0.64 tff(2248,plain,
% 0.48/0.64 (~(i23 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[983, 843, 789, 718, 75])).
% 0.48/0.64 tff(2249,plain,
% 0.48/0.64 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[208, 31, 2248])).
% 0.48/0.64 tff(2250,plain,
% 0.48/0.64 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2249])).
% 0.48/0.64 tff(2251,plain,
% 0.48/0.64 (~(i22 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1720, 1689, 843, 2164, 844, 826, 1042, 789, 75, 718])).
% 0.48/0.64 tff(2252,plain,
% 0.48/0.64 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[227, 31, 2251])).
% 0.48/0.64 tff(2253,plain,
% 0.48/0.64 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2252])).
% 0.48/0.64 tff(2254,plain,
% 0.48/0.64 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[666, 31, 2251])).
% 0.48/0.64 tff(2255,plain,
% 0.48/0.64 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[685, 31, 2243])).
% 0.48/0.64 tff(2256,plain,
% 0.48/0.64 (~(i21 = sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[2022, 2255, 718, 1591, 2165, 789, 75, 2244, 2254, 2175, 1981, 1689, 1042, 826, 844, 843, 2252])).
% 0.48/0.64 tff(2257,plain,
% 0.48/0.64 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1537, 2256])).
% 0.48/0.64 tff(2258,plain,
% 0.48/0.64 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.48/0.64 inference(symmetry,[status(thm)],[2257])).
% 0.48/0.64 tff(2259,assumption,(i20 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.48/0.64 tff(2260,plain,
% 0.48/0.64 (select(store(store(a_1086, i19, e19), i20, e20), i20) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2259])).
% 0.48/0.65 tff(2261,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1086, i19, e19), i20, e20), i20) = e20)),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(2262,plain,
% 0.48/0.65 (select(store(store(a_1086, i19, e19), i20, e20), i20) = e20),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[2261, 49])).
% 0.48/0.65 tff(2263,plain,
% 0.48/0.65 (e20 = select(store(store(a_1086, i19, e19), i20, e20), i20)),
% 0.48/0.65 inference(symmetry,[status(thm)],[2262])).
% 0.48/0.65 tff(2264,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1107, i18, e18), i20, e20), i20) = e20)),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(2265,plain,
% 0.48/0.65 (select(store(store(a_1107, i18, e18), i20, e20), i20) = e20),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[2264, 49])).
% 0.48/0.65 tff(2266,plain,
% 0.48/0.65 (sk(a_1098, a_1128) = i20),
% 0.48/0.65 inference(symmetry,[status(thm)],[2259])).
% 0.48/0.65 tff(2267,plain,
% 0.48/0.65 (store(a_1108, i20, e20) = store(store(a_1107, i18, e18), i20, e20)),
% 0.48/0.65 inference(symmetry,[status(thm)],[1186])).
% 0.48/0.65 tff(2268,plain,
% 0.48/0.65 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), i20)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2267, 2266])).
% 0.48/0.65 tff(2269,plain,
% 0.48/0.65 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = e_1130),
% 0.48/0.65 inference(transitivity,[status(thm)],[2268, 2265, 2263, 2260, 254, 2258, 235, 2253, 216, 2250, 197, 2247, 178, 1592, 159, 2245, 140, 2242, 121, 790, 102, 721, 82, 76, 74, 5])).
% 0.48/0.65 tff(2270,assumption,(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))), introduced(assumption)).
% 0.48/0.65 tff(2271,plain,
% 0.48/0.65 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2270])).
% 0.48/0.65 tff(2272,plain,
% 0.48/0.65 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[533, 31, 2248])).
% 0.48/0.65 tff(2273,plain,
% 0.48/0.65 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2272])).
% 0.48/0.65 tff(2274,plain,
% 0.48/0.65 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[826])).
% 0.48/0.65 tff(2275,plain,
% 0.48/0.65 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2175])).
% 0.48/0.65 tff(2276,plain,
% 0.48/0.65 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2254])).
% 0.48/0.65 tff(2277,plain,
% 0.48/0.65 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2255])).
% 0.48/0.65 tff(2278,plain,
% 0.48/0.65 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1084, 31, 719])).
% 0.48/0.65 tff(2279,plain,
% 0.48/0.65 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2278])).
% 0.48/0.65 tff(2280,assumption,(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))), introduced(assumption)).
% 0.48/0.65 tff(2281,plain,
% 0.48/0.65 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2280])).
% 0.48/0.65 tff(2282,plain,
% 0.48/0.65 ((i11 = i20) <=> (i11 = sk(a_1098, a_1128))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2259])).
% 0.48/0.65 tff(2283,plain,
% 0.48/0.65 ((~(i11 = i20)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2282])).
% 0.48/0.65 tff(2284,plain,
% 0.48/0.65 ((~(i11 = i20)) <=> (~(i11 = i20))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(2285,axiom,(~(i11 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp244')).
% 0.48/0.65 tff(2286,plain,
% 0.48/0.65 (~(i11 = i20)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 0.48/0.65 tff(2287,plain,
% 0.48/0.65 (~(i11 = sk(a_1098, a_1128))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[2286, 2283])).
% 0.48/0.65 tff(2288,plain,
% 0.48/0.65 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1122, 2287])).
% 0.48/0.65 tff(2289,plain,
% 0.48/0.65 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2288])).
% 0.48/0.65 tff(2290,plain,
% 0.48/0.65 ((i6 = i20) <=> (i6 = sk(a_1098, a_1128))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2259])).
% 0.48/0.65 tff(2291,plain,
% 0.48/0.65 ((~(i6 = i20)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2290])).
% 0.48/0.65 tff(2292,plain,
% 0.48/0.65 ((~(i6 = i20)) <=> (~(i6 = i20))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(2293,axiom,(~(i6 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp349')).
% 0.48/0.65 tff(2294,plain,
% 0.48/0.65 (~(i6 = i20)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 0.48/0.65 tff(2295,plain,
% 0.48/0.65 (~(i6 = sk(a_1098, a_1128))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[2294, 2291])).
% 0.48/0.65 tff(2296,plain,
% 0.48/0.65 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1140, 31, 2295])).
% 0.48/0.65 tff(2297,plain,
% 0.48/0.65 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2296])).
% 0.48/0.65 tff(2298,plain,
% 0.48/0.65 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1159, 31, 2256])).
% 0.48/0.65 tff(2299,plain,
% 0.48/0.65 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2298])).
% 0.48/0.65 tff(2300,plain,
% 0.48/0.65 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = e_1131),
% 0.48/0.65 inference(transitivity,[status(thm)],[1168, 2299, 1149, 2297, 1130, 2289, 1111, 2281, 1092, 2279, 1081, 2190, 694, 2277, 675, 2276, 656, 2275, 637, 1982, 618, 1690, 599, 1043, 580, 2274, 561, 987, 542, 2273, 523, 2271, 504, 864, 459, 733, 25, 14])).
% 0.48/0.65 tff(2301,plain,
% 0.48/0.65 ((select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2300, 2269])).
% 0.48/0.65 tff(2302,plain,
% 0.48/0.65 ((select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.48/0.65 inference(transitivity,[status(thm)],[2301, 1])).
% 0.48/0.65 tff(2303,plain,
% 0.48/0.65 ((e_1130 = e_1131) <=> (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))),
% 0.48/0.65 inference(symmetry,[status(thm)],[2302])).
% 0.48/0.65 tff(2304,plain,
% 0.48/0.65 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2303])).
% 0.48/0.65 tff(2305,plain,
% 0.48/0.65 (~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[432, 2304])).
% 0.48/0.65 tff(2306,plain,
% 0.48/0.65 ((i8 = i20) <=> (i8 = sk(a_1098, a_1128))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2259])).
% 0.48/0.65 tff(2307,plain,
% 0.48/0.65 ((~(i8 = i20)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[2306])).
% 0.48/0.65 tff(2308,plain,
% 0.48/0.65 ((~(i8 = i20)) <=> (~(i8 = i20))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(2309,axiom,(~(i8 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp304')).
% 0.48/0.65 tff(2310,plain,
% 0.50/0.65 (~(i8 = i20)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 0.50/0.65 tff(2311,plain,
% 0.50/0.65 (~(i8 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[2310, 2307])).
% 0.50/0.65 tff(2312,plain,
% 0.50/0.65 ($false),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1178, 31, 2311, 2305])).
% 0.50/0.65 tff(2313,plain,((~(i20 = sk(a_1098, a_1128))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.65 tff(2314,plain,
% 0.50/0.65 (~(i20 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2313, 2241, 1466, 36, 1235, 2158, 1959, 1683, 1565, 818, 2026, 1397])).
% 0.50/0.65 tff(2315,plain,
% 0.50/0.65 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1525, 2314])).
% 0.50/0.65 tff(2316,plain,
% 0.50/0.65 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2315])).
% 0.50/0.65 tff(2317,assumption,(~(i19 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.65 tff(2318,plain,
% 0.50/0.65 (~(i27 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1457, 1739, 766, 452, 36])).
% 0.50/0.65 tff(2319,plain,
% 0.50/0.65 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[798, 2318])).
% 0.50/0.65 tff(2320,plain,
% 0.50/0.65 (~(i26 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1024, 1461, 36, 2318, 818, 1739, 452, 768])).
% 0.50/0.65 tff(2321,plain,
% 0.50/0.65 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[911, 2320])).
% 0.50/0.65 tff(2322,plain,
% 0.50/0.65 (~(i16 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1563, 2321, 770, 1739, 1461, 2319, 768, 36, 452])).
% 0.50/0.65 tff(2323,plain,
% 0.50/0.65 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[341, 31, 2322])).
% 0.50/0.65 tff(2324,plain,
% 0.50/0.65 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[590, 31, 2322])).
% 0.50/0.65 tff(2325,plain,
% 0.50/0.65 (~(i12 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1681, 2321, 770, 452, 1466, 1739, 2319, 768, 36, 1461])).
% 0.50/0.65 tff(2326,plain,
% 0.50/0.65 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[609, 31, 2325])).
% 0.50/0.65 tff(2327,plain,
% 0.50/0.65 (~(i22 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1720, 2326, 1739, 2318, 818, 1461, 2324, 768, 36, 452])).
% 0.50/0.65 tff(2328,plain,
% 0.50/0.65 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[227, 31, 2327])).
% 0.50/0.65 tff(2329,plain,
% 0.50/0.65 (~(i3 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1957, 2328, 770, 1466, 2321, 2319, 768, 36, 1738, 447, 1461])).
% 0.50/0.65 tff(2330,plain,
% 0.50/0.65 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[629, 2329])).
% 0.50/0.65 tff(2331,plain,
% 0.50/0.65 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[666, 31, 2327])).
% 0.50/0.65 tff(2332,plain,
% 0.50/0.65 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[647, 31, 2318])).
% 0.50/0.65 tff(2333,plain,
% 0.50/0.65 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[685, 31, 2320])).
% 0.50/0.65 tff(2334,plain,
% 0.50/0.65 (~(i5 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2156, 2333, 770, 2332, 1461, 2328, 1466, 2321, 2319, 768, 36, 1738, 447, 2331])).
% 0.50/0.65 tff(2335,plain,
% 0.50/0.65 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[703, 31, 2334])).
% 0.50/0.65 tff(2336,plain,
% 0.50/0.65 (~(i14 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2239, 770, 2330, 1739, 36, 2335])).
% 0.50/0.65 tff(2337,plain,
% 0.50/0.65 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1103, 2336])).
% 0.50/0.65 tff(2338,assumption,(i11 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.50/0.65 tff(2339,plain,
% 0.50/0.65 ((i11 = i13) <=> (sk(a_1098, a_1128) = i13)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[2338])).
% 0.50/0.65 tff(2340,plain,
% 0.50/0.65 ((i11 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(transitivity,[status(thm)],[2339, 388])).
% 0.50/0.65 tff(2341,plain,
% 0.50/0.65 ((~(i11 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[2340])).
% 0.50/0.65 tff(2342,plain,
% 0.50/0.65 ((~(i11 = i13)) <=> (~(i11 = i13))),
% 0.50/0.65 inference(rewrite,[status(thm)],[])).
% 0.50/0.65 tff(2343,axiom,(~(i11 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp251')).
% 0.50/0.65 tff(2344,plain,
% 0.50/0.65 (~(i11 = i13)),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 0.50/0.65 tff(2345,plain,
% 0.50/0.65 (~(i13 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(modus_ponens,[status(thm)],[2344, 2341])).
% 0.50/0.65 tff(2346,plain,
% 0.50/0.65 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[818])).
% 0.50/0.65 tff(2347,plain,
% 0.50/0.65 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2169])).
% 0.50/0.65 tff(2348,plain,
% 0.50/0.65 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2171])).
% 0.50/0.65 tff(2349,plain,
% 0.50/0.65 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2176])).
% 0.50/0.65 tff(2350,plain,
% 0.50/0.65 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2174])).
% 0.50/0.65 tff(2351,plain,
% 0.50/0.65 (~(i14 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2239, 770, 1981, 843, 75, 2163])).
% 0.50/0.65 tff(2352,plain,
% 0.50/0.65 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1103, 2351])).
% 0.50/0.65 tff(2353,plain,
% 0.50/0.65 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2352])).
% 0.50/0.65 tff(2354,plain,
% 0.50/0.65 (select(store(store(a_1111, i6, e6), i11, e11), i11) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1110, 2338])).
% 0.50/0.65 tff(2355,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1111, i6, e6), i11, e11), i11) = e11)),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(2356,plain,
% 0.50/0.65 (select(store(store(a_1111, i6, e6), i11, e11), i11) = e11),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2355, 49])).
% 0.50/0.65 tff(2357,plain,
% 0.50/0.65 (e11 = select(store(store(a_1111, i6, e6), i11, e11), i11)),
% 0.50/0.65 inference(symmetry,[status(thm)],[2356])).
% 0.50/0.65 tff(2358,plain,
% 0.50/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1077, i10, e10), i11, e11), i11) = e11)),
% 0.50/0.65 inference(quant_inst,[status(thm)],[])).
% 0.50/0.65 tff(2359,plain,
% 0.50/0.65 (select(store(store(a_1077, i10, e10), i11, e11), i11) = e11),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2358, 49])).
% 0.50/0.65 tff(2360,plain,
% 0.50/0.65 (sk(a_1098, a_1128) = i11),
% 0.50/0.65 inference(symmetry,[status(thm)],[2338])).
% 0.50/0.65 tff(2361,plain,
% 0.50/0.65 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), i11)),
% 0.50/0.65 inference(monotonicity,[status(thm)],[2360])).
% 0.50/0.65 tff(2362,plain,
% 0.50/0.65 (store(a_1078, i11, e11) = store(store(a_1077, i10, e10), i11, e11)),
% 0.50/0.65 inference(symmetry,[status(thm)],[424])).
% 0.50/0.65 tff(2363,plain,
% 0.50/0.65 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[2362])).
% 0.50/0.65 tff(2364,assumption,(~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.50/0.65 tff(2365,assumption,(~(i12 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.65 tff(2366,plain,
% 0.50/0.65 ($false),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[417, 31, 2365, 2364])).
% 0.50/0.65 tff(2367,plain,((select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))) | (i12 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.65 tff(2368,plain,
% 0.50/0.65 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2367, 2170])).
% 0.50/0.65 tff(2369,plain,
% 0.50/0.65 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.50/0.65 inference(monotonicity,[status(thm)],[1586])).
% 0.50/0.65 tff(2370,plain,
% 0.50/0.65 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = e_1131),
% 0.50/0.65 inference(transitivity,[status(thm)],[2369, 2368, 2363, 2361, 2359, 2357, 2354, 2353, 1092, 2279, 1081, 2190, 694, 2350, 675, 2349, 656, 2275, 637, 1982, 618, 2348, 599, 2347, 580, 2274, 561, 2346, 542, 2273, 523, 2271, 504, 864, 459, 733, 25, 14])).
% 0.50/0.65 tff(2371,plain,
% 0.50/0.65 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2167])).
% 0.50/0.65 tff(2372,plain,
% 0.50/0.65 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2173])).
% 0.50/0.65 tff(2373,plain,
% 0.50/0.65 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[2022, 2174, 718, 1233, 2165, 789, 75, 2167, 2176, 2175, 1981, 2171, 2169, 826, 818, 843, 2173])).
% 0.50/0.65 tff(2374,plain,
% 0.50/0.65 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.65 inference(unit_resolution,[status(thm)],[1537, 2373])).
% 0.50/0.65 tff(2375,plain,
% 0.50/0.65 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.65 inference(symmetry,[status(thm)],[2374])).
% 0.50/0.66 tff(2376,plain,
% 0.50/0.66 (~(i20 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2313, 2352, 1233, 75, 2246, 2163, 1981, 2171, 2169, 818, 2270, 843])).
% 0.50/0.66 tff(2377,plain,
% 0.50/0.66 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1525, 2376])).
% 0.50/0.66 tff(2378,plain,
% 0.50/0.66 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2377])).
% 0.50/0.66 tff(2379,plain,
% 0.50/0.66 ((i11 = i19) <=> (sk(a_1098, a_1128) = i19)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2338])).
% 0.50/0.66 tff(2380,plain,
% 0.50/0.66 ((i11 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(transitivity,[status(thm)],[2379, 274])).
% 0.50/0.66 tff(2381,plain,
% 0.50/0.66 ((~(i11 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2380])).
% 0.50/0.66 tff(2382,plain,
% 0.50/0.66 ((~(i11 = i19)) <=> (~(i11 = i19))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2383,axiom,(~(i11 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp245')).
% 0.50/0.66 tff(2384,plain,
% 0.50/0.66 (~(i11 = i19)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 0.50/0.66 tff(2385,plain,
% 0.50/0.66 (~(i19 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2384, 2381])).
% 0.50/0.66 tff(2386,plain,
% 0.50/0.66 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1513, 2385])).
% 0.50/0.66 tff(2387,plain,
% 0.50/0.66 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2386])).
% 0.50/0.66 tff(2388,plain,
% 0.50/0.66 ((i11 = i18) <=> (sk(a_1098, a_1128) = i18)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2338])).
% 0.50/0.66 tff(2389,plain,
% 0.50/0.66 ((i11 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(transitivity,[status(thm)],[2388, 293])).
% 0.50/0.66 tff(2390,plain,
% 0.50/0.66 ((~(i11 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2389])).
% 0.50/0.66 tff(2391,plain,
% 0.50/0.66 ((~(i11 = i18)) <=> (~(i11 = i18))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2392,axiom,(~(i11 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp246')).
% 0.50/0.66 tff(2393,plain,
% 0.50/0.66 (~(i11 = i18)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 0.50/0.66 tff(2394,plain,
% 0.50/0.66 (~(i18 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2393, 2390])).
% 0.50/0.66 tff(2395,plain,
% 0.50/0.66 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[303, 31, 2394])).
% 0.50/0.66 tff(2396,plain,
% 0.50/0.66 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2395])).
% 0.50/0.66 tff(2397,plain,
% 0.50/0.66 (select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[341, 31, 2168])).
% 0.50/0.66 tff(2398,plain,
% 0.50/0.66 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2397])).
% 0.50/0.66 tff(2399,plain,
% 0.50/0.66 ((i11 = i15) <=> (sk(a_1098, a_1128) = i15)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2338])).
% 0.50/0.66 tff(2400,plain,
% 0.50/0.66 ((i11 = i15) <=> (i15 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(transitivity,[status(thm)],[2399, 350])).
% 0.50/0.66 tff(2401,plain,
% 0.50/0.66 ((~(i11 = i15)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2400])).
% 0.50/0.66 tff(2402,plain,
% 0.50/0.66 ((~(i11 = i15)) <=> (~(i11 = i15))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2403,axiom,(~(i11 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp249')).
% 0.50/0.66 tff(2404,plain,
% 0.50/0.66 (~(i11 = i15)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 0.50/0.66 tff(2405,plain,
% 0.50/0.66 (~(i15 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2404, 2401])).
% 0.50/0.66 tff(2406,plain,
% 0.50/0.66 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[360, 31, 2405])).
% 0.50/0.66 tff(2407,plain,
% 0.50/0.66 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2406])).
% 0.50/0.66 tff(2408,assumption,(~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.50/0.66 tff(2409,assumption,(~(i14 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.66 tff(2410,plain,
% 0.50/0.66 ($false),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[379, 31, 2409, 2408])).
% 0.50/0.66 tff(2411,plain,((i14 = sk(a_1098, a_1128)) | (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.66 tff(2412,plain,
% 0.50/0.66 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2411, 2351])).
% 0.50/0.66 tff(2413,plain,
% 0.50/0.66 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2412])).
% 0.50/0.66 tff(2414,plain,
% 0.50/0.66 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = e_1130),
% 0.50/0.66 inference(transitivity,[status(thm)],[387, 2413, 368, 2407, 349, 2398, 330, 1292, 311, 2396, 292, 2387, 273, 2378, 254, 2375, 235, 2372, 216, 2250, 197, 2247, 178, 1234, 159, 2371, 140, 2242, 121, 790, 102, 721, 82, 76, 74, 5])).
% 0.50/0.66 tff(2415,plain,
% 0.50/0.66 ((select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2414, 2370])).
% 0.50/0.66 tff(2416,plain,
% 0.50/0.66 ((e_1130 = e_1131) <=> (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2415])).
% 0.50/0.66 tff(2417,plain,
% 0.50/0.66 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2416])).
% 0.50/0.66 tff(2418,plain,
% 0.50/0.66 (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[432, 2417])).
% 0.50/0.66 tff(2419,plain,
% 0.50/0.66 ($false),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[398, 31, 2418, 2345])).
% 0.50/0.66 tff(2420,plain,((~(i11 = sk(a_1098, a_1128))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.66 tff(2421,plain,
% 0.50/0.66 (~(i11 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2420, 2335, 2330, 2270, 1739, 2246, 36, 770])).
% 0.50/0.66 tff(2422,plain,
% 0.50/0.66 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1122, 2421])).
% 0.50/0.66 tff(2423,assumption,(~(select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.50/0.66 tff(2424,plain,
% 0.50/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1098, a_1128)) | (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1098, a_1128)) | (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2425,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1098, a_1128)) | (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))))),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(2426,plain,
% 0.50/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1098, a_1128)) | (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 0.50/0.66 tff(2427,plain,
% 0.50/0.66 ($false),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2426, 31, 10, 2423])).
% 0.50/0.66 tff(2428,plain,((select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))) | (i30 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.66 tff(2429,plain,
% 0.50/0.66 (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2428, 10])).
% 0.50/0.66 tff(2430,plain,
% 0.50/0.66 (select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2411, 2336])).
% 0.50/0.66 tff(2431,plain,
% 0.50/0.66 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1513, 2317])).
% 0.50/0.66 tff(2432,plain,
% 0.50/0.66 (~(i20 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2313, 2337, 1466, 36, 2246, 2335, 2330, 2326, 2324, 818, 2270, 1739])).
% 0.50/0.66 tff(2433,assumption,(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.66 tff(2434,plain,
% 0.50/0.66 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2433])).
% 0.50/0.66 tff(2435,assumption,(i15 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.50/0.66 tff(2436,plain,
% 0.50/0.66 ((i6 = i15) <=> (i6 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2435])).
% 0.50/0.66 tff(2437,plain,
% 0.50/0.66 ((~(i6 = i15)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2436])).
% 0.50/0.66 tff(2438,plain,
% 0.50/0.66 ((~(i6 = i15)) <=> (~(i6 = i15))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2439,axiom,(~(i6 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp354')).
% 0.50/0.66 tff(2440,plain,
% 0.50/0.66 (~(i6 = i15)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 0.50/0.66 tff(2441,plain,
% 0.50/0.66 (~(i6 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2440, 2437])).
% 0.50/0.66 tff(2442,plain,
% 0.50/0.66 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1141, 2441])).
% 0.50/0.66 tff(2443,plain,
% 0.50/0.66 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2442])).
% 0.50/0.66 tff(2444,plain,
% 0.50/0.66 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[919, 1230])).
% 0.50/0.66 tff(2445,plain,
% 0.50/0.66 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[2022, 1774, 2444, 1559, 1560, 838, 75, 1987, 1985, 1983, 1981, 1689, 1042, 845, 844, 843, 485])).
% 0.50/0.66 tff(2446,plain,
% 0.50/0.66 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1159, 31, 2445])).
% 0.50/0.66 tff(2447,plain,
% 0.50/0.66 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2446])).
% 0.50/0.66 tff(2448,plain,
% 0.50/0.66 (sk(a_1098, a_1128) = i15),
% 0.50/0.66 inference(symmetry,[status(thm)],[2435])).
% 0.50/0.66 tff(2449,plain,
% 0.50/0.66 ((i8 = sk(a_1098, a_1128)) <=> (i8 = i15)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2448])).
% 0.50/0.66 tff(2450,plain,
% 0.50/0.66 ((i8 = i15) <=> (i8 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2449])).
% 0.50/0.66 tff(2451,plain,
% 0.50/0.66 ((~(i8 = i15)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2450])).
% 0.50/0.66 tff(2452,plain,
% 0.50/0.66 ((~(i8 = i15)) <=> (~(i8 = i15))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2453,axiom,(~(i8 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp309')).
% 0.50/0.66 tff(2454,plain,
% 0.50/0.66 (~(i8 = i15)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 0.50/0.66 tff(2455,plain,
% 0.50/0.66 (~(i8 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2454, 2451])).
% 0.50/0.66 tff(2456,plain,
% 0.50/0.66 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1179, 2455])).
% 0.50/0.66 tff(2457,plain,
% 0.50/0.66 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2456])).
% 0.50/0.66 tff(2458,assumption,(~(i20 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.66 tff(2459,plain,
% 0.50/0.66 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1197, 31, 2458])).
% 0.50/0.66 tff(2460,plain,
% 0.50/0.66 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2459])).
% 0.50/0.66 tff(2461,assumption,(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.66 tff(2462,assumption,(i18 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.50/0.66 tff(2463,plain,
% 0.50/0.66 ((i11 = i18) <=> (i11 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2462])).
% 0.50/0.66 tff(2464,plain,
% 0.50/0.66 ((~(i11 = i18)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2463])).
% 0.50/0.66 tff(2465,plain,
% 0.50/0.66 (~(i11 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2393, 2464])).
% 0.50/0.66 tff(2466,plain,
% 0.50/0.66 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1122, 2465])).
% 0.50/0.66 tff(2467,plain,
% 0.50/0.66 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2466])).
% 0.50/0.66 tff(2468,plain,
% 0.50/0.66 (sk(a_1098, a_1128) = i18),
% 0.50/0.66 inference(symmetry,[status(thm)],[2462])).
% 0.50/0.66 tff(2469,plain,
% 0.50/0.66 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i18)),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2468])).
% 0.50/0.66 tff(2470,plain,
% 0.50/0.66 ((i6 = i18) <=> (i6 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(symmetry,[status(thm)],[2469])).
% 0.50/0.66 tff(2471,plain,
% 0.50/0.66 ((~(i6 = i18)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.50/0.66 inference(monotonicity,[status(thm)],[2470])).
% 0.50/0.66 tff(2472,plain,
% 0.50/0.66 ((~(i6 = i18)) <=> (~(i6 = i18))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(2473,axiom,(~(i6 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp351')).
% 0.50/0.66 tff(2474,plain,
% 0.50/0.66 (~(i6 = i18)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 0.50/0.66 tff(2475,plain,
% 0.50/0.66 (~(i6 = sk(a_1098, a_1128))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[2474, 2471])).
% 0.50/0.66 tff(2476,plain,
% 0.50/0.66 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[1141, 2475])).
% 0.50/0.67 tff(2477,plain,
% 0.50/0.67 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2476])).
% 0.50/0.67 tff(2478,plain,
% 0.50/0.67 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 75, 1987, 1985, 1983, 1981, 1689, 1042, 845, 844, 843, 485])).
% 0.50/0.67 tff(2479,plain,
% 0.50/0.67 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1159, 31, 2478])).
% 0.50/0.67 tff(2480,plain,
% 0.50/0.67 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2479])).
% 0.50/0.67 tff(2481,plain,
% 0.50/0.67 ((i8 = sk(a_1098, a_1128)) <=> (i8 = i18)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2468])).
% 0.50/0.67 tff(2482,plain,
% 0.50/0.67 ((i8 = i18) <=> (i8 = sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2481])).
% 0.50/0.67 tff(2483,plain,
% 0.50/0.67 ((~(i8 = i18)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2482])).
% 0.50/0.67 tff(2484,plain,
% 0.50/0.67 ((~(i8 = i18)) <=> (~(i8 = i18))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(2485,axiom,(~(i8 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp306')).
% 0.50/0.67 tff(2486,plain,
% 0.50/0.67 (~(i8 = i18)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 0.50/0.67 tff(2487,plain,
% 0.50/0.67 (~(i8 = sk(a_1098, a_1128))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2486, 2483])).
% 0.50/0.67 tff(2488,plain,
% 0.50/0.67 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1179, 2487])).
% 0.50/0.67 tff(2489,plain,
% 0.50/0.67 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2488])).
% 0.50/0.67 tff(2490,plain,
% 0.50/0.67 (select(store(store(a_1106, i25, e25), i18, e18), i18) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1205, 2462])).
% 0.50/0.67 tff(2491,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1106, i25, e25), i18, e18), i18) = e18)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2492,plain,
% 0.50/0.67 (select(store(store(a_1106, i25, e25), i18, e18), i18) = e18),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2491, 49])).
% 0.50/0.67 tff(2493,plain,
% 0.50/0.67 (e18 = select(store(store(a_1106, i25, e25), i18, e18), i18)),
% 0.50/0.67 inference(symmetry,[status(thm)],[2492])).
% 0.50/0.67 tff(2494,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1084, i17, e17), i18, e18), i18) = e18)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2495,plain,
% 0.50/0.67 (select(store(store(a_1084, i17, e17), i18, e18), i18) = e18),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2494, 49])).
% 0.50/0.67 tff(2496,plain,
% 0.50/0.67 (store(a_1085, i18, e18) = store(store(a_1084, i17, e17), i18, e18)),
% 0.50/0.67 inference(symmetry,[status(thm)],[291])).
% 0.50/0.67 tff(2497,plain,
% 0.50/0.67 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), i18)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2496, 2468])).
% 0.50/0.67 tff(2498,plain,
% 0.50/0.67 (store(a_1086, i19, e19) = store(store(a_1085, i18, e18), i19, e19)),
% 0.50/0.67 inference(symmetry,[status(thm)],[272])).
% 0.50/0.67 tff(2499,plain,
% 0.50/0.67 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2498])).
% 0.50/0.67 tff(2500,plain,
% 0.50/0.67 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1525, 2458])).
% 0.50/0.67 tff(2501,plain,
% 0.50/0.67 (store(a_1087, i20, e20) = store(store(a_1086, i19, e19), i20, e20)),
% 0.50/0.67 inference(symmetry,[status(thm)],[253])).
% 0.50/0.67 tff(2502,plain,
% 0.50/0.67 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2501])).
% 0.50/0.67 tff(2503,plain,
% 0.50/0.67 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1537, 2478])).
% 0.50/0.67 tff(2504,plain,
% 0.50/0.67 (store(a_1088, i21, e21) = store(store(a_1087, i20, e20), i21, e21)),
% 0.50/0.67 inference(symmetry,[status(thm)],[234])).
% 0.50/0.67 tff(2505,plain,
% 0.50/0.67 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2504])).
% 0.50/0.67 tff(2506,plain,
% 0.50/0.67 (store(a_1089, i22, e22) = store(store(a_1088, i21, e21), i22, e22)),
% 0.50/0.67 inference(symmetry,[status(thm)],[215])).
% 0.50/0.67 tff(2507,plain,
% 0.50/0.67 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2506])).
% 0.50/0.67 tff(2508,plain,
% 0.50/0.67 (store(a_1090, i23, e23) = store(store(a_1089, i22, e22), i23, e23)),
% 0.50/0.67 inference(symmetry,[status(thm)],[196])).
% 0.50/0.67 tff(2509,plain,
% 0.50/0.67 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2508])).
% 0.50/0.67 tff(2510,plain,
% 0.50/0.67 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[882])).
% 0.50/0.67 tff(2511,plain,
% 0.50/0.67 (store(a_1092, i25, e25) = store(store(a_1091, i24, e24), i25, e25)),
% 0.50/0.67 inference(symmetry,[status(thm)],[158])).
% 0.50/0.67 tff(2512,plain,
% 0.50/0.67 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2511])).
% 0.50/0.67 tff(2513,plain,
% 0.50/0.67 (store(a_1093, i26, e26) = store(store(a_1092, i25, e25), i26, e26)),
% 0.50/0.67 inference(symmetry,[status(thm)],[139])).
% 0.50/0.67 tff(2514,plain,
% 0.50/0.67 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2513])).
% 0.50/0.67 tff(2515,plain,
% 0.50/0.67 (store(a_1094, i27, e27) = store(store(a_1093, i26, e26), i27, e27)),
% 0.50/0.67 inference(symmetry,[status(thm)],[120])).
% 0.50/0.67 tff(2516,plain,
% 0.50/0.67 (select(store(a_1094, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2515])).
% 0.50/0.67 tff(2517,plain,
% 0.50/0.67 (store(a_1095, i28, e28) = store(store(a_1094, i27, e27), i28, e28)),
% 0.50/0.67 inference(symmetry,[status(thm)],[101])).
% 0.50/0.67 tff(2518,plain,
% 0.50/0.67 (select(store(a_1095, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2517])).
% 0.50/0.67 tff(2519,plain,
% 0.50/0.67 (store(a_1096, i29, e29) = store(store(a_1095, i28, e28), i29, e29)),
% 0.50/0.67 inference(symmetry,[status(thm)],[81])).
% 0.50/0.67 tff(2520,plain,
% 0.50/0.67 (select(store(a_1096, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2519])).
% 0.50/0.67 tff(2521,plain,
% 0.50/0.67 (store(a_1097, i30, e30) = store(store(a_1096, i29, e29), i30, e30)),
% 0.50/0.67 inference(symmetry,[status(thm)],[72])).
% 0.50/0.67 tff(2522,plain,
% 0.50/0.67 (a_1098 = store(store(a_1096, i29, e29), i30, e30)),
% 0.50/0.67 inference(transitivity,[status(thm)],[66, 2521])).
% 0.50/0.67 tff(2523,plain,
% 0.50/0.67 (select(a_1098, i_1129) = select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2522, 8])).
% 0.50/0.67 tff(2524,plain,
% 0.50/0.67 (e_1130 = e_1131),
% 0.50/0.67 inference(transitivity,[status(thm)],[4, 2523, 75, 2520, 836, 2518, 838, 2516, 1560, 2514, 1559, 2512, 1591, 2510, 945, 2509, 1552, 2507, 1774, 2505, 2503, 2502, 2500, 2499, 2461, 2497, 2495, 2493, 2490, 2460, 1187, 2489, 1168, 2480, 1149, 2477, 1130, 2467, 1111, 2281, 1092, 1086, 1081, 2190, 694, 1988, 675, 1986, 656, 1984, 637, 1982, 618, 1690, 599, 1043, 580, 988, 561, 987, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.50/0.67 tff(2525,plain,
% 0.50/0.67 ($false),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[432, 2524])).
% 0.50/0.67 tff(2526,plain,((~(i18 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (i20 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.67 tff(2527,plain,
% 0.50/0.67 (~(i18 = sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2526, 2461, 838, 1560, 1559, 2444, 1774, 75, 2280, 2163, 1987, 1985, 1983, 1981, 1689, 1042, 845, 844, 843, 485, 2458])).
% 0.50/0.67 tff(2528,plain,
% 0.50/0.67 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1215, 31, 2527])).
% 0.50/0.67 tff(2529,plain,
% 0.50/0.67 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2528])).
% 0.50/0.67 tff(2530,plain,
% 0.50/0.67 (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[1038])).
% 0.50/0.67 tff(2531,plain,
% 0.50/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1098, a_1128)) | (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(2532,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1098, a_1128)) | (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))))),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2533,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1098, a_1128)) | (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128)))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2532, 2531])).
% 0.50/0.67 tff(2534,plain,
% 0.50/0.67 (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2533, 31, 1230])).
% 0.50/0.67 tff(2535,plain,
% 0.50/0.67 (select(store(a_1105, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128))),
% 0.50/0.67 inference(symmetry,[status(thm)],[2534])).
% 0.50/0.67 tff(2536,plain,
% 0.50/0.67 ((a_1105 = store(a_1104, i2, e2)) <=> (a_1105 = store(a_1104, i2, e2))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(2537,axiom,(a_1105 = store(a_1104, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp36')).
% 0.50/0.67 tff(2538,plain,
% 0.50/0.67 (a_1105 = store(a_1104, i2, e2)),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 0.50/0.67 tff(2539,plain,
% 0.50/0.67 (store(a_1104, i2, e2) = a_1105),
% 0.50/0.67 inference(symmetry,[status(thm)],[2538])).
% 0.50/0.67 tff(2540,plain,
% 0.50/0.67 (store(store(a_1104, i2, e2), i15, e15) = store(a_1105, i15, e15)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2539])).
% 0.50/0.67 tff(2541,plain,
% 0.50/0.67 (select(store(store(a_1104, i2, e2), i15, e15), i15) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2540, 2435])).
% 0.50/0.67 tff(2542,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1104, i2, e2), i15, e15), i15) = e15)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2543,plain,
% 0.50/0.67 (select(store(store(a_1104, i2, e2), i15, e15), i15) = e15),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2542, 49])).
% 0.50/0.67 tff(2544,plain,
% 0.50/0.67 (e15 = select(store(store(a_1104, i2, e2), i15, e15), i15)),
% 0.50/0.67 inference(symmetry,[status(thm)],[2543])).
% 0.50/0.67 tff(2545,plain,
% 0.50/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1081, i14, e14), i15, e15), i15) = e15)),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(2546,plain,
% 0.50/0.67 (select(store(store(a_1081, i14, e14), i15, e15), i15) = e15),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[2545, 49])).
% 0.50/0.67 tff(2547,plain,
% 0.50/0.67 (store(a_1082, i15, e15) = store(store(a_1081, i14, e14), i15, e15)),
% 0.50/0.67 inference(symmetry,[status(thm)],[348])).
% 0.50/0.67 tff(2548,plain,
% 0.50/0.67 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), i15)),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2547, 2448])).
% 0.50/0.67 tff(2549,assumption,(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.67 tff(2550,plain,
% 0.50/0.67 (store(a_1083, i16, e16) = store(store(a_1082, i15, e15), i16, e16)),
% 0.50/0.67 inference(symmetry,[status(thm)],[329])).
% 0.50/0.67 tff(2551,plain,
% 0.50/0.67 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2550])).
% 0.50/0.67 tff(2552,assumption,(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.67 tff(2553,plain,
% 0.50/0.67 (store(a_1084, i17, e17) = store(store(a_1083, i16, e16), i17, e17)),
% 0.50/0.67 inference(symmetry,[status(thm)],[310])).
% 0.50/0.67 tff(2554,plain,
% 0.50/0.67 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[2553])).
% 0.50/0.67 tff(2555,plain,
% 0.50/0.67 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[1501, 2527])).
% 0.50/0.67 tff(2556,plain,
% 0.50/0.67 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2496])).
% 0.50/0.68 tff(2557,plain,
% 0.50/0.68 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1537, 2445])).
% 0.50/0.68 tff(2558,plain,
% 0.50/0.68 (e_1130 = e_1131),
% 0.50/0.68 inference(transitivity,[status(thm)],[4, 2523, 75, 2520, 836, 2518, 838, 2516, 1560, 2514, 1559, 2512, 2444, 2510, 945, 2509, 1552, 2507, 1774, 2505, 2557, 2502, 2500, 2499, 2461, 2556, 2555, 2554, 2552, 2551, 2549, 2548, 2546, 2544, 2541, 2535, 2530, 2529, 1206, 2460, 1187, 2457, 1168, 2447, 1149, 2443, 1130, 2434, 1111, 2281, 1092, 1086, 1081, 2190, 694, 1988, 675, 1986, 656, 1984, 637, 1982, 618, 1690, 599, 1043, 580, 988, 561, 987, 542, 986, 523, 924, 504, 864, 459, 486, 25, 14])).
% 0.50/0.68 tff(2559,plain,
% 0.50/0.68 ($false),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[432, 2558])).
% 0.50/0.68 tff(2560,plain,((~(i15 = sk(a_1098, a_1128))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (i25 = sk(a_1098, a_1128)) | (i20 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.68 tff(2561,plain,
% 0.50/0.68 (~(i15 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[2560, 2323, 768, 2319, 2321, 2328, 2432, 2422, 2431, 1291, 2337, 2335, 2333, 2331, 2332, 2330, 2326, 2324, 1461, 818, 1739, 452, 1465, 36])).
% 0.50/0.68 tff(2562,plain,
% 0.50/0.68 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[360, 31, 2561])).
% 0.50/0.68 tff(2563,plain,
% 0.50/0.68 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1525, 2432])).
% 0.50/0.68 tff(2564,plain,
% 0.50/0.68 (~(i18 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[2526, 2431, 768, 2319, 2321, 1466, 2328, 2432, 2337, 2335, 2333, 2331, 2332, 2330, 2326, 2324, 1461, 818, 1739, 452, 36])).
% 0.50/0.68 tff(2565,plain,
% 0.50/0.68 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[303, 31, 2564])).
% 0.50/0.68 tff(2566,assumption,(i8 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.50/0.68 tff(2567,plain,
% 0.50/0.68 ((i6 = i8) <=> (i6 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2566])).
% 0.50/0.68 tff(2568,plain,
% 0.50/0.68 ((i6 = sk(a_1098, a_1128)) <=> (i6 = i8)),
% 0.50/0.68 inference(symmetry,[status(thm)],[2567])).
% 0.50/0.68 tff(2569,assumption,(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.68 tff(2570,assumption,(~(i11 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.68 tff(2571,plain,
% 0.50/0.68 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[609, 31, 2365])).
% 0.50/0.68 tff(2572,plain,
% 0.50/0.68 (~(i22 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1720, 2571, 843, 2164, 844, 826, 1042, 789, 75, 718])).
% 0.50/0.68 tff(2573,plain,
% 0.50/0.68 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[227, 31, 2572])).
% 0.50/0.68 tff(2574,assumption,(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.68 tff(2575,assumption,(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.68 tff(2576,plain,
% 0.50/0.68 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[666, 31, 2572])).
% 0.50/0.68 tff(2577,plain,
% 0.50/0.68 ((i9 = i8) <=> (i8 = i9)),
% 0.50/0.68 inference(commutativity,[status(thm)],[])).
% 0.50/0.68 tff(2578,plain,
% 0.50/0.68 (sk(a_1098, a_1128) = i8),
% 0.50/0.68 inference(symmetry,[status(thm)],[2566])).
% 0.50/0.68 tff(2579,plain,
% 0.50/0.68 ((i9 = sk(a_1098, a_1128)) <=> (i9 = i8)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2578])).
% 0.50/0.68 tff(2580,plain,
% 0.50/0.68 ((i9 = sk(a_1098, a_1128)) <=> (i8 = i9)),
% 0.50/0.68 inference(transitivity,[status(thm)],[2579, 2577])).
% 0.50/0.68 tff(2581,plain,
% 0.50/0.68 ((i8 = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2580])).
% 0.50/0.68 tff(2582,plain,
% 0.50/0.68 ((~(i8 = i9)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2581])).
% 0.50/0.68 tff(2583,plain,
% 0.50/0.68 ((~(i8 = i9)) <=> (~(i8 = i9))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2584,axiom,(~(i8 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp315')).
% 0.50/0.68 tff(2585,plain,
% 0.50/0.68 (~(i8 = i9)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 0.50/0.68 tff(2586,plain,
% 0.50/0.68 (~(i9 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2585, 2582])).
% 0.50/0.68 tff(2587,plain,
% 0.50/0.68 (~(i24 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[921, 843, 1736, 75])).
% 0.50/0.68 tff(2588,plain,
% 0.50/0.68 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[515, 2587])).
% 0.50/0.68 tff(2589,plain,
% 0.50/0.68 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2588])).
% 0.50/0.68 tff(2590,plain,
% 0.50/0.68 (~(i23 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[983, 838, 843, 1736, 75])).
% 0.50/0.68 tff(2591,plain,
% 0.50/0.68 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[534, 2590])).
% 0.50/0.68 tff(2592,plain,
% 0.50/0.68 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2591])).
% 0.50/0.68 tff(2593,plain,
% 0.50/0.68 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[610, 2365])).
% 0.50/0.68 tff(2594,plain,
% 0.50/0.68 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2593])).
% 0.50/0.68 tff(2595,plain,
% 0.50/0.68 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1084, 31, 1767])).
% 0.50/0.68 tff(2596,plain,
% 0.50/0.68 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2595])).
% 0.50/0.68 tff(2597,plain,
% 0.50/0.68 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1122, 2570])).
% 0.50/0.68 tff(2598,plain,
% 0.50/0.68 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2597])).
% 0.50/0.68 tff(2599,assumption,(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.68 tff(2600,plain,
% 0.50/0.68 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2599])).
% 0.50/0.68 tff(2601,plain,
% 0.50/0.68 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 75, 1987, 1985, 1983, 1981, 2593, 1042, 845, 844, 843, 1736])).
% 0.50/0.68 tff(2602,plain,
% 0.50/0.68 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1159, 31, 2601])).
% 0.50/0.68 tff(2603,plain,
% 0.50/0.68 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2602])).
% 0.50/0.68 tff(2604,plain,
% 0.50/0.68 (select(store(store(a_1108, i20, e20), i8, e8), i8) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[1167, 2566])).
% 0.50/0.68 tff(2605,plain,
% 0.50/0.68 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1108, i20, e20), i8, e8), i8) = e8)),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(2606,plain,
% 0.50/0.68 (select(store(store(a_1108, i20, e20), i8, e8), i8) = e8),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[2605, 49])).
% 0.50/0.68 tff(2607,plain,
% 0.50/0.68 (e8 = select(store(store(a_1108, i20, e20), i8, e8), i8)),
% 0.50/0.68 inference(symmetry,[status(thm)],[2606])).
% 0.50/0.68 tff(2608,plain,
% 0.50/0.68 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1074, i7, e7), i8, e8), i8) = e8)),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(2609,plain,
% 0.50/0.68 (select(store(store(a_1074, i7, e7), i8, e8), i8) = e8),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[2608, 49])).
% 0.50/0.68 tff(2610,plain,
% 0.50/0.68 (store(a_1075, i8, e8) = store(store(a_1074, i7, e7), i8, e8)),
% 0.50/0.68 inference(symmetry,[status(thm)],[1376])).
% 0.50/0.68 tff(2611,plain,
% 0.50/0.68 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1074, i7, e7), i8, e8), i8)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2610, 2578])).
% 0.50/0.68 tff(2612,plain,
% 0.50/0.68 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = e_1131),
% 0.50/0.68 inference(transitivity,[status(thm)],[2611, 2609, 2607, 2604, 2603, 1149, 2600, 1130, 2598, 1111, 2281, 1092, 2596, 1081, 2190, 694, 1988, 675, 1986, 656, 1984, 637, 1982, 618, 2594, 599, 1043, 580, 988, 561, 987, 542, 2592, 523, 2589, 504, 864, 459, 1737, 25, 14])).
% 0.50/0.68 tff(2613,plain,
% 0.50/0.68 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[189, 31, 2587])).
% 0.50/0.68 tff(2614,plain,
% 0.50/0.68 (select(store(a_1090, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2613])).
% 0.50/0.68 tff(2615,plain,
% 0.50/0.68 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[208, 31, 2590])).
% 0.50/0.68 tff(2616,plain,
% 0.50/0.68 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2615])).
% 0.50/0.68 tff(2617,plain,
% 0.50/0.68 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1537, 2601])).
% 0.50/0.68 tff(2618,plain,
% 0.50/0.68 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2617])).
% 0.50/0.68 tff(2619,plain,
% 0.50/0.68 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2461])).
% 0.50/0.68 tff(2620,plain,
% 0.50/0.68 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2574])).
% 0.50/0.68 tff(2621,plain,
% 0.50/0.68 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2552])).
% 0.50/0.68 tff(2622,plain,
% 0.50/0.68 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2549])).
% 0.50/0.68 tff(2623,plain,
% 0.50/0.68 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2569])).
% 0.50/0.68 tff(2624,plain,
% 0.50/0.68 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2575])).
% 0.50/0.68 tff(2625,plain,
% 0.50/0.68 ((i8 = i13) <=> (sk(a_1098, a_1128) = i13)),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2566])).
% 0.50/0.68 tff(2626,plain,
% 0.50/0.68 ((i8 = i13) <=> (i13 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(transitivity,[status(thm)],[2625, 388])).
% 0.50/0.68 tff(2627,plain,
% 0.50/0.68 ((~(i8 = i13)) <=> (~(i13 = sk(a_1098, a_1128)))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[2626])).
% 0.50/0.68 tff(2628,plain,
% 0.50/0.68 ((~(i8 = i13)) <=> (~(i8 = i13))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(2629,axiom,(~(i8 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp311')).
% 0.50/0.68 tff(2630,plain,
% 0.50/0.68 (~(i8 = i13)),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 0.50/0.68 tff(2631,plain,
% 0.50/0.68 (~(i13 = sk(a_1098, a_1128))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[2630, 2627])).
% 0.50/0.68 tff(2632,plain,
% 0.50/0.68 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[1679, 2631])).
% 0.50/0.68 tff(2633,plain,
% 0.50/0.68 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2632])).
% 0.50/0.68 tff(2634,plain,
% 0.50/0.68 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[417, 31, 2365])).
% 0.50/0.68 tff(2635,plain,
% 0.50/0.68 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.50/0.68 inference(symmetry,[status(thm)],[2634])).
% 0.50/0.68 tff(2636,plain,
% 0.50/0.68 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[444, 31, 2570])).
% 0.50/0.69 tff(2637,plain,
% 0.50/0.69 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2636])).
% 0.50/0.69 tff(2638,plain,
% 0.50/0.69 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = e_1130),
% 0.50/0.69 inference(transitivity,[status(thm)],[1358, 1868, 1347, 2637, 425, 2635, 406, 2633, 387, 2624, 368, 2623, 349, 2622, 330, 2621, 311, 2620, 292, 2619, 273, 2204, 254, 2618, 235, 1775, 216, 2616, 197, 2614, 178, 1592, 159, 1590, 140, 1589, 121, 839, 102, 1769, 82, 76, 74, 5])).
% 0.50/0.69 tff(2639,plain,
% 0.50/0.69 ((select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2638, 2612])).
% 0.50/0.69 tff(2640,plain,
% 0.50/0.69 ((e_1130 = e_1131) <=> (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2639])).
% 0.50/0.69 tff(2641,plain,
% 0.50/0.69 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2640])).
% 0.50/0.69 tff(2642,plain,
% 0.50/0.69 (~(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[432, 2641])).
% 0.50/0.69 tff(2643,plain,
% 0.50/0.69 ($false),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1878, 2642, 2586])).
% 0.50/0.69 tff(2644,plain,((~(i8 = sk(a_1098, a_1128))) | (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i10 = sk(a_1098, a_1128)) | (i11 = sk(a_1098, a_1128)) | (i12 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.69 tff(2645,plain,
% 0.50/0.69 (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2644, 2566, 2365, 2163, 2255, 2576, 2175, 1981, 1042, 826, 844, 843, 2280, 2575, 2549, 2552, 2574, 2461, 2203, 2573, 1591, 2244, 2165, 789, 75, 717, 2570, 2569])).
% 0.50/0.69 tff(2646,plain,
% 0.50/0.69 (i6 = sk(a_1098, a_1128)),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1141, 2645])).
% 0.50/0.69 tff(2647,plain,
% 0.50/0.69 (i6 = i8),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2646, 2568])).
% 0.50/0.69 tff(2648,plain,
% 0.50/0.69 ((~(i6 = i8)) <=> (~(i6 = i8))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2649,axiom,(~(i6 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp361')).
% 0.50/0.69 tff(2650,plain,
% 0.50/0.69 (~(i6 = i8)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 0.50/0.69 tff(2651,plain,
% 0.50/0.69 ($false),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2650, 2647])).
% 0.50/0.69 tff(2652,plain,((~(i8 = sk(a_1098, a_1128))) | (i12 = sk(a_1098, a_1128)) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i11 = sk(a_1098, a_1128)) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.69 tff(2653,plain,
% 0.50/0.69 (~(i8 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2652, 2323, 2335, 2330, 2324, 818, 1739, 2337, 2430, 2325, 1291, 2565, 2431, 2563, 1466, 36, 2421, 2562])).
% 0.50/0.69 tff(2654,plain,
% 0.50/0.69 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1232, 1230])).
% 0.50/0.69 tff(2655,plain,
% 0.50/0.69 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2654])).
% 0.50/0.69 tff(2656,plain,
% 0.50/0.69 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2022, 2255, 718, 2654, 2165, 789, 75, 2244, 2254, 2175, 1981, 1689, 1042, 826, 844, 843, 2252])).
% 0.50/0.69 tff(2657,plain,
% 0.50/0.69 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1537, 2656])).
% 0.50/0.69 tff(2658,plain,
% 0.50/0.69 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2657])).
% 0.50/0.69 tff(2659,plain,
% 0.50/0.69 (~(i20 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2313, 2280, 2654, 75, 2246, 2163, 1981, 1689, 1042, 844, 2270, 843])).
% 0.50/0.69 tff(2660,plain,
% 0.50/0.69 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[1525, 2659])).
% 0.50/0.69 tff(2661,plain,
% 0.50/0.69 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2660])).
% 0.50/0.69 tff(2662,plain,
% 0.50/0.69 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2431])).
% 0.50/0.69 tff(2663,plain,
% 0.50/0.69 (~(i18 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2526, 2431, 789, 2165, 2244, 2654, 2252, 2659, 2280, 2163, 2255, 2254, 2175, 1981, 1689, 1042, 826, 844, 843, 718, 75])).
% 0.50/0.69 tff(2664,plain,
% 0.50/0.69 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[303, 31, 2663])).
% 0.50/0.69 tff(2665,plain,
% 0.50/0.69 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2664])).
% 0.50/0.69 tff(2666,plain,
% 0.50/0.69 (~(i15 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2560, 2549, 789, 2165, 2244, 2252, 2659, 2433, 2431, 2552, 2280, 2163, 2255, 2254, 2175, 1981, 1689, 1042, 826, 844, 843, 718, 1230, 75])).
% 0.50/0.69 tff(2667,plain,
% 0.50/0.69 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[360, 31, 2666])).
% 0.50/0.69 tff(2668,plain,
% 0.50/0.69 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.50/0.69 inference(symmetry,[status(thm)],[2667])).
% 0.50/0.69 tff(2669,assumption,(i13 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.50/0.69 tff(2670,plain,
% 0.50/0.69 (select(store(store(a_1079, i12, e12), i13, e13), i13) = select(store(a_1080, i13, e13), sk(a_1098, a_1128))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[386, 2669])).
% 0.50/0.69 tff(2671,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1079, i12, e12), i13, e13), i13) = e13)),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2672,plain,
% 0.50/0.69 (select(store(store(a_1079, i12, e12), i13, e13), i13) = e13),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2671, 49])).
% 0.50/0.69 tff(2673,plain,
% 0.50/0.69 (e13 = select(store(store(a_1079, i12, e12), i13, e13), i13)),
% 0.50/0.69 inference(symmetry,[status(thm)],[2672])).
% 0.50/0.69 tff(2674,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i13, e13), i13) = e13)),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2675,plain,
% 0.50/0.69 (select(store(a1, i13, e13), i13) = e13),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2674, 49])).
% 0.50/0.69 tff(2676,plain,
% 0.50/0.69 (sk(a_1098, a_1128) = i13),
% 0.50/0.69 inference(symmetry,[status(thm)],[2669])).
% 0.50/0.69 tff(2677,plain,
% 0.50/0.69 (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(store(a1, i13, e13), i13)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2676])).
% 0.50/0.69 tff(2678,plain,
% 0.50/0.69 ((i1 = i13) <=> (i1 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2669])).
% 0.50/0.69 tff(2679,plain,
% 0.50/0.69 ((~(i1 = i13)) <=> (~(i1 = sk(a_1098, a_1128)))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2678])).
% 0.50/0.69 tff(2680,plain,
% 0.50/0.69 ((~(i1 = i13)) <=> (~(i1 = i13))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2681,axiom,(~(i1 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp486')).
% 0.50/0.69 tff(2682,plain,
% 0.50/0.69 (~(i1 = i13)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 0.50/0.69 tff(2683,plain,
% 0.50/0.69 (~(i1 = sk(a_1098, a_1128))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2682, 2679])).
% 0.50/0.69 tff(2684,plain,
% 0.50/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1098, a_1128)) | (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1098, a_1128)) | (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2685,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1098, a_1128)) | (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2686,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1098, a_1128)) | (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128)))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2685, 2684])).
% 0.50/0.69 tff(2687,plain,
% 0.50/0.69 (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[2686, 31, 2683])).
% 0.50/0.69 tff(2688,plain,
% 0.50/0.69 ((a_1099 = store(a1, i13, e13)) <=> (a_1099 = store(a1, i13, e13))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2689,axiom,(a_1099 = store(a1, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp30')).
% 0.50/0.69 tff(2690,plain,
% 0.50/0.69 (a_1099 = store(a1, i13, e13)),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 0.50/0.69 tff(2691,plain,
% 0.50/0.69 (store(a1, i13, e13) = a_1099),
% 0.50/0.69 inference(symmetry,[status(thm)],[2690])).
% 0.50/0.69 tff(2692,plain,
% 0.50/0.69 (store(store(a1, i13, e13), i1, e1) = store(a_1099, i1, e1)),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2691])).
% 0.50/0.69 tff(2693,plain,
% 0.50/0.69 (store(a_1099, i1, e1) = store(store(a1, i13, e13), i1, e1)),
% 0.50/0.69 inference(symmetry,[status(thm)],[2692])).
% 0.50/0.69 tff(2694,plain,
% 0.50/0.69 (select(store(a_1099, i1, e1), sk(a_1098, a_1128)) = select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[2693])).
% 0.50/0.69 tff(2695,plain,
% 0.50/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1098, a_1128)) | (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1098, a_1128)) | (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(2696,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1098, a_1128)) | (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(2697,plain,
% 0.50/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1098, a_1128)) | (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2696, 2695])).
% 0.50/0.70 tff(2698,plain,
% 0.50/0.70 (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2697, 31, 2317])).
% 0.50/0.70 tff(2699,plain,
% 0.50/0.70 ((a_1100 = store(a_1099, i1, e1)) <=> (a_1100 = store(a_1099, i1, e1))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2700,axiom,(a_1100 = store(a_1099, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp31')).
% 0.50/0.70 tff(2701,plain,
% 0.50/0.70 (a_1100 = store(a_1099, i1, e1)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 0.50/0.70 tff(2702,plain,
% 0.50/0.70 (store(a_1099, i1, e1) = a_1100),
% 0.50/0.70 inference(symmetry,[status(thm)],[2701])).
% 0.50/0.70 tff(2703,plain,
% 0.50/0.70 (store(store(a_1099, i1, e1), i19, e19) = store(a_1100, i19, e19)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2702])).
% 0.50/0.70 tff(2704,plain,
% 0.50/0.70 (store(a_1100, i19, e19) = store(store(a_1099, i1, e1), i19, e19)),
% 0.50/0.70 inference(symmetry,[status(thm)],[2703])).
% 0.50/0.70 tff(2705,plain,
% 0.50/0.70 (select(store(a_1100, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2704])).
% 0.50/0.70 tff(2706,plain,
% 0.50/0.70 ((i4 = i13) <=> (i4 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2669])).
% 0.50/0.70 tff(2707,plain,
% 0.50/0.70 ((~(i4 = i13)) <=> (~(i4 = sk(a_1098, a_1128)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2706])).
% 0.50/0.70 tff(2708,plain,
% 0.50/0.70 ((~(i4 = i13)) <=> (~(i4 = i13))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2709,axiom,(~(i4 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp405')).
% 0.50/0.70 tff(2710,plain,
% 0.50/0.70 (~(i4 = i13)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 0.50/0.70 tff(2711,plain,
% 0.50/0.70 (~(i4 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2710, 2707])).
% 0.50/0.70 tff(2712,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_1098, a_1128)) | (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1098, a_1128)) | (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2713,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_1098, a_1128)) | (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2714,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_1098, a_1128)) | (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 0.50/0.70 tff(2715,plain,
% 0.50/0.70 (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2714, 31, 2711])).
% 0.50/0.70 tff(2716,plain,
% 0.50/0.70 ((a_1101 = store(a_1100, i19, e19)) <=> (a_1101 = store(a_1100, i19, e19))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2717,axiom,(a_1101 = store(a_1100, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp32')).
% 0.50/0.70 tff(2718,plain,
% 0.50/0.70 (a_1101 = store(a_1100, i19, e19)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 0.50/0.70 tff(2719,plain,
% 0.50/0.70 (store(a_1100, i19, e19) = a_1101),
% 0.50/0.70 inference(symmetry,[status(thm)],[2718])).
% 0.50/0.70 tff(2720,plain,
% 0.50/0.70 (store(store(a_1100, i19, e19), i4, e4) = store(a_1101, i4, e4)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2719])).
% 0.50/0.70 tff(2721,plain,
% 0.50/0.70 (store(a_1101, i4, e4) = store(store(a_1100, i19, e19), i4, e4)),
% 0.50/0.70 inference(symmetry,[status(thm)],[2720])).
% 0.50/0.70 tff(2722,plain,
% 0.50/0.70 (select(store(a_1101, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2721])).
% 0.50/0.70 tff(2723,plain,
% 0.50/0.70 ((i9 = i13) <=> (i9 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2669])).
% 0.50/0.70 tff(2724,plain,
% 0.50/0.70 ((~(i9 = i13)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2723])).
% 0.50/0.70 tff(2725,plain,
% 0.50/0.70 ((~(i9 = i13)) <=> (~(i9 = i13))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2726,axiom,(~(i9 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp290')).
% 0.50/0.70 tff(2727,plain,
% 0.50/0.70 (~(i9 = i13)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 0.50/0.70 tff(2728,plain,
% 0.50/0.70 (~(i9 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2727, 2724])).
% 0.50/0.70 tff(2729,plain,
% 0.50/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1098, a_1128)) | (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2730,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2731,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1098, a_1128)) | (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 0.50/0.70 tff(2732,plain,
% 0.50/0.70 ((i9 = sk(a_1098, a_1128)) | (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2731, 31])).
% 0.50/0.70 tff(2733,plain,
% 0.50/0.70 (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2732, 2728])).
% 0.50/0.70 tff(2734,plain,
% 0.50/0.70 ((a_1102 = store(a_1101, i4, e4)) <=> (a_1102 = store(a_1101, i4, e4))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2735,axiom,(a_1102 = store(a_1101, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp33')).
% 0.50/0.70 tff(2736,plain,
% 0.50/0.70 (a_1102 = store(a_1101, i4, e4)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 0.50/0.70 tff(2737,plain,
% 0.50/0.70 (store(a_1101, i4, e4) = a_1102),
% 0.50/0.70 inference(symmetry,[status(thm)],[2736])).
% 0.50/0.70 tff(2738,plain,
% 0.50/0.70 (store(store(a_1101, i4, e4), i9, e9) = store(a_1102, i9, e9)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2737])).
% 0.50/0.70 tff(2739,plain,
% 0.50/0.70 (store(a_1102, i9, e9) = store(store(a_1101, i4, e4), i9, e9)),
% 0.50/0.70 inference(symmetry,[status(thm)],[2738])).
% 0.50/0.70 tff(2740,plain,
% 0.50/0.70 (select(store(a_1102, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2739])).
% 0.50/0.70 tff(2741,assumption,(select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.70 tff(2742,plain,
% 0.50/0.70 ((a_1103 = store(a_1102, i9, e9)) <=> (a_1103 = store(a_1102, i9, e9))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2743,axiom,(a_1103 = store(a_1102, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp34')).
% 0.50/0.70 tff(2744,plain,
% 0.50/0.70 (a_1103 = store(a_1102, i9, e9)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 0.50/0.70 tff(2745,plain,
% 0.50/0.70 (store(a_1102, i9, e9) = a_1103),
% 0.50/0.70 inference(symmetry,[status(thm)],[2744])).
% 0.50/0.70 tff(2746,plain,
% 0.50/0.70 (store(store(a_1102, i9, e9), i30, e30) = store(a_1103, i30, e30)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2745])).
% 0.50/0.70 tff(2747,plain,
% 0.50/0.70 (store(a_1103, i30, e30) = store(store(a_1102, i9, e9), i30, e30)),
% 0.50/0.70 inference(symmetry,[status(thm)],[2746])).
% 0.50/0.70 tff(2748,plain,
% 0.50/0.70 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2747])).
% 0.50/0.70 tff(2749,plain,
% 0.50/0.70 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = e_1130),
% 0.50/0.70 inference(transitivity,[status(thm)],[2748, 2741, 2740, 2733, 2722, 2715, 2705, 2698, 2694, 2687, 2677, 2675, 2673, 2670, 2624, 368, 2668, 349, 2622, 330, 2621, 311, 2665, 292, 2662, 273, 2661, 254, 2658, 235, 2253, 216, 2250, 197, 2247, 178, 2655, 159, 2245, 140, 2242, 121, 790, 102, 721, 82, 76, 74, 5])).
% 0.50/0.70 tff(2750,plain,
% 0.50/0.70 ((i6 = i13) <=> (i6 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2669])).
% 0.50/0.70 tff(2751,plain,
% 0.50/0.70 ((~(i6 = i13)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2750])).
% 0.50/0.70 tff(2752,plain,
% 0.50/0.70 ((~(i6 = i13)) <=> (~(i6 = i13))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2753,axiom,(~(i6 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp356')).
% 0.50/0.70 tff(2754,plain,
% 0.50/0.70 (~(i6 = i13)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 0.50/0.70 tff(2755,plain,
% 0.50/0.70 (~(i6 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2754, 2751])).
% 0.50/0.70 tff(2756,plain,
% 0.50/0.70 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1141, 2755])).
% 0.50/0.70 tff(2757,plain,
% 0.50/0.70 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2756])).
% 0.50/0.70 tff(2758,plain,
% 0.50/0.70 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1159, 31, 2656])).
% 0.50/0.70 tff(2759,plain,
% 0.50/0.70 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2758])).
% 0.50/0.70 tff(2760,assumption,(~(i8 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.70 tff(2761,plain,
% 0.50/0.70 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1178, 31, 2760])).
% 0.50/0.70 tff(2762,plain,
% 0.50/0.70 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2761])).
% 0.50/0.70 tff(2763,plain,
% 0.50/0.70 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1197, 31, 2659])).
% 0.50/0.70 tff(2764,plain,
% 0.50/0.70 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2763])).
% 0.50/0.70 tff(2765,plain,
% 0.50/0.70 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[1215, 31, 2663])).
% 0.50/0.70 tff(2766,plain,
% 0.50/0.70 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2765])).
% 0.50/0.70 tff(2767,plain,
% 0.50/0.70 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2540])).
% 0.50/0.70 tff(2768,plain,
% 0.50/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1098, a_1128)) | (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1098, a_1128)) | (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2769,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1098, a_1128)) | (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(2770,plain,
% 0.50/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1098, a_1128)) | (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 0.50/0.70 tff(2771,plain,
% 0.50/0.70 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[2770, 31, 2666])).
% 0.50/0.70 tff(2772,plain,
% 0.50/0.70 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2771])).
% 0.50/0.70 tff(2773,plain,
% 0.50/0.70 ((a_1104 = store(a_1103, i30, e30)) <=> (a_1104 = store(a_1103, i30, e30))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2774,axiom,(a_1104 = store(a_1103, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp35')).
% 0.50/0.70 tff(2775,plain,
% 0.50/0.70 (a_1104 = store(a_1103, i30, e30)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 0.50/0.70 tff(2776,plain,
% 0.50/0.70 (store(a_1103, i30, e30) = a_1104),
% 0.50/0.70 inference(symmetry,[status(thm)],[2775])).
% 0.50/0.70 tff(2777,plain,
% 0.50/0.70 (store(store(a_1103, i30, e30), i2, e2) = store(a_1104, i2, e2)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2776])).
% 0.50/0.70 tff(2778,plain,
% 0.50/0.70 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2777])).
% 0.50/0.70 tff(2779,plain,
% 0.50/0.70 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = e_1131),
% 0.50/0.70 inference(transitivity,[status(thm)],[2778, 2772, 2767, 2535, 2530, 2766, 1206, 2764, 1187, 2762, 1168, 2759, 1149, 2757, 1130, 2434, 1111, 2281, 1092, 2279, 1081, 2190, 694, 2277, 675, 2276, 656, 2275, 637, 1982, 618, 1690, 599, 1043, 580, 2274, 561, 987, 542, 2273, 523, 2271, 504, 864, 459, 733, 25, 14])).
% 0.50/0.70 tff(2780,plain,
% 0.50/0.70 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2779, 2749])).
% 0.50/0.70 tff(2781,plain,
% 0.50/0.70 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.50/0.70 inference(transitivity,[status(thm)],[2780, 1])).
% 0.50/0.70 tff(2782,plain,
% 0.50/0.70 ((e_1130 = e_1131) <=> (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(symmetry,[status(thm)],[2781])).
% 0.50/0.70 tff(2783,plain,
% 0.50/0.70 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2782])).
% 0.50/0.70 tff(2784,plain,
% 0.50/0.70 (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[432, 2783])).
% 0.50/0.70 tff(2785,plain,
% 0.50/0.70 ((i2 = i13) <=> (i2 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2669])).
% 0.50/0.70 tff(2786,plain,
% 0.50/0.70 ((~(i2 = i13)) <=> (~(i2 = sk(a_1098, a_1128)))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[2785])).
% 0.50/0.70 tff(2787,plain,
% 0.50/0.70 ((~(i2 = i13)) <=> (~(i2 = i13))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(2788,axiom,(~(i2 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp458')).
% 0.50/0.70 tff(2789,plain,
% 0.50/0.70 (~(i2 = i13)),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 0.50/0.70 tff(2790,plain,
% 0.50/0.70 (~(i2 = sk(a_1098, a_1128))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[2789, 2786])).
% 0.50/0.70 tff(2791,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_1098, a_1128)) | (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1098, a_1128)) | (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(2792,plain,
% 0.50/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1098, a_1128)) | (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(2793,plain,
% 0.50/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1098, a_1128)) | (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 0.50/0.71 tff(2794,plain,
% 0.50/0.71 ($false),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2793, 31, 2790, 2784])).
% 0.50/0.71 tff(2795,plain,((~(i13 = sk(a_1098, a_1128))) | (~(select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (i25 = sk(a_1098, a_1128)) | (i8 = sk(a_1098, a_1128)) | (i19 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.71 tff(2796,plain,
% 0.50/0.71 (~(i13 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2795, 2653, 2430, 2429, 1291, 2246, 36, 2422, 2337, 2335, 2330, 2326, 2324, 818, 2270, 1739, 1465, 2323, 2317])).
% 0.50/0.71 tff(2797,plain,
% 0.50/0.71 (select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2367, 2325])).
% 0.50/0.71 tff(2798,assumption,(~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.50/0.71 tff(2799,plain,
% 0.50/0.71 ($false),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[444, 31, 2570, 2798])).
% 0.50/0.71 tff(2800,plain,((select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))) | (i11 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.71 tff(2801,plain,
% 0.50/0.71 (select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2800, 2421])).
% 0.50/0.71 tff(2802,plain,
% 0.50/0.71 (~(i23 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[983, 1739, 768, 452, 36])).
% 0.50/0.71 tff(2803,plain,
% 0.50/0.71 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[533, 31, 2802])).
% 0.50/0.71 tff(2804,plain,
% 0.50/0.71 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2803])).
% 0.50/0.71 tff(2805,plain,
% 0.50/0.71 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[1461])).
% 0.50/0.71 tff(2806,assumption,(~(i3 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.71 tff(2807,plain,
% 0.50/0.71 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[629, 2806])).
% 0.50/0.71 tff(2808,plain,
% 0.50/0.71 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2807])).
% 0.50/0.71 tff(2809,plain,
% 0.50/0.71 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2332])).
% 0.50/0.71 tff(2810,plain,
% 0.50/0.71 (~(i22 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1720, 1689, 1739, 2318, 844, 1461, 1042, 768, 36, 452])).
% 0.50/0.71 tff(2811,plain,
% 0.50/0.71 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[666, 31, 2810])).
% 0.50/0.71 tff(2812,plain,
% 0.50/0.71 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2811])).
% 0.50/0.71 tff(2813,plain,
% 0.50/0.71 (~(i26 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1024, 1461, 36, 2318, 844, 1739, 452, 768])).
% 0.50/0.71 tff(2814,plain,
% 0.50/0.71 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[685, 31, 2813])).
% 0.50/0.71 tff(2815,plain,
% 0.50/0.71 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2814])).
% 0.50/0.71 tff(2816,assumption,(~(i5 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.71 tff(2817,plain,
% 0.50/0.71 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[703, 31, 2816])).
% 0.50/0.71 tff(2818,plain,
% 0.50/0.71 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2817])).
% 0.50/0.71 tff(2819,plain,
% 0.50/0.71 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1084, 31, 707])).
% 0.50/0.71 tff(2820,plain,
% 0.50/0.71 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2819])).
% 0.50/0.71 tff(2821,assumption,(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.71 tff(2822,assumption,(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.71 tff(2823,plain,
% 0.50/0.71 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2319])).
% 0.50/0.71 tff(2824,plain,
% 0.50/0.71 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[911, 2813])).
% 0.50/0.71 tff(2825,plain,
% 0.50/0.71 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2824])).
% 0.50/0.71 tff(2826,plain,
% 0.50/0.71 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[208, 31, 2802])).
% 0.50/0.71 tff(2827,plain,
% 0.50/0.71 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2826])).
% 0.50/0.71 tff(2828,plain,
% 0.50/0.71 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[227, 31, 2810])).
% 0.50/0.71 tff(2829,plain,
% 0.50/0.71 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2828])).
% 0.50/0.71 tff(2830,plain,
% 0.50/0.71 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2022, 2814, 452, 2654, 2319, 768, 36, 2824, 2811, 2332, 2807, 1689, 1042, 1461, 844, 1739, 2828])).
% 0.50/0.71 tff(2831,plain,
% 0.50/0.71 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1537, 2830])).
% 0.50/0.71 tff(2832,plain,
% 0.50/0.71 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2831])).
% 0.50/0.71 tff(2833,plain,
% 0.50/0.71 (~(i20 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2313, 2280, 2654, 36, 2246, 2817, 2807, 1689, 1042, 844, 2270, 1739])).
% 0.50/0.71 tff(2834,plain,
% 0.50/0.71 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1525, 2833])).
% 0.50/0.71 tff(2835,plain,
% 0.50/0.71 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2834])).
% 0.50/0.71 tff(2836,plain,
% 0.50/0.71 (~(i18 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2526, 2431, 768, 2319, 2824, 2654, 2828, 2833, 2280, 2817, 2814, 2811, 2332, 2807, 1689, 1042, 1461, 844, 1739, 452, 36])).
% 0.50/0.71 tff(2837,plain,
% 0.50/0.71 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[303, 31, 2836])).
% 0.50/0.71 tff(2838,plain,
% 0.50/0.71 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2837])).
% 0.50/0.71 tff(2839,plain,
% 0.50/0.71 (~(i15 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2560, 2549, 768, 2319, 2824, 2828, 2833, 2433, 2431, 2552, 2280, 2817, 2814, 2811, 2332, 2807, 1689, 1042, 1461, 844, 1739, 452, 1230, 36])).
% 0.50/0.71 tff(2840,plain,
% 0.50/0.71 (select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[360, 31, 2839])).
% 0.50/0.71 tff(2841,plain,
% 0.50/0.71 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2840])).
% 0.50/0.71 tff(2842,plain,
% 0.50/0.71 (~(i13 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2795, 2549, 2575, 2429, 2552, 2246, 36, 2433, 2280, 2817, 2807, 1689, 1042, 844, 2270, 1739, 1230, 2760, 2317])).
% 0.50/0.71 tff(2843,plain,
% 0.50/0.71 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[398, 31, 2842])).
% 0.50/0.71 tff(2844,plain,
% 0.50/0.71 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2843])).
% 0.50/0.71 tff(2845,plain,
% 0.50/0.71 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2822])).
% 0.50/0.71 tff(2846,plain,
% 0.50/0.71 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2821])).
% 0.50/0.71 tff(2847,plain,
% 0.50/0.71 (select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1350, 31, 447])).
% 0.50/0.71 tff(2848,plain,
% 0.50/0.71 (select(store(a_1076, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2847])).
% 0.50/0.71 tff(2849,assumption,(~(i6 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.50/0.71 tff(2850,plain,
% 0.50/0.71 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1215, 31, 2836])).
% 0.50/0.71 tff(2851,plain,
% 0.50/0.71 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1197, 31, 2833])).
% 0.50/0.71 tff(2852,plain,
% 0.50/0.71 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[2770, 31, 2839])).
% 0.50/0.71 tff(2853,plain,
% 0.50/0.71 (~(i24 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[921, 1739, 485, 36])).
% 0.50/0.71 tff(2854,plain,
% 0.50/0.71 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[515, 2853])).
% 0.50/0.71 tff(2855,plain,
% 0.50/0.71 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2854])).
% 0.50/0.71 tff(2856,plain,
% 0.50/0.71 (~(i23 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[983, 838, 1739, 485, 36])).
% 0.50/0.71 tff(2857,plain,
% 0.50/0.71 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[534, 2856])).
% 0.50/0.71 tff(2858,plain,
% 0.50/0.71 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2857])).
% 0.50/0.71 tff(2859,plain,
% 0.50/0.71 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[1706])).
% 0.50/0.71 tff(2860,plain,
% 0.50/0.71 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2859])).
% 0.50/0.71 tff(2861,plain,
% 0.50/0.71 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[861])).
% 0.50/0.71 tff(2862,plain,
% 0.50/0.71 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2861])).
% 0.50/0.71 tff(2863,plain,
% 0.50/0.71 (store(a_1115, i5, e5) = store(store(a_1114, i29, e29), i5, e5)),
% 0.50/0.71 inference(symmetry,[status(thm)],[693])).
% 0.50/0.71 tff(2864,plain,
% 0.50/0.71 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2863])).
% 0.50/0.71 tff(2865,plain,
% 0.50/0.71 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2864])).
% 0.50/0.71 tff(2866,plain,
% 0.50/0.71 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[704, 2816])).
% 0.50/0.71 tff(2867,plain,
% 0.50/0.71 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2866])).
% 0.50/0.71 tff(2868,plain,
% 0.50/0.71 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[482])).
% 0.50/0.71 tff(2869,plain,
% 0.50/0.71 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2868])).
% 0.50/0.71 tff(2870,plain,
% 0.50/0.71 (~(i29 = sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[706, 485, 36])).
% 0.50/0.71 tff(2871,plain,
% 0.50/0.71 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[1084, 31, 2870])).
% 0.50/0.71 tff(2872,plain,
% 0.50/0.71 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2871])).
% 0.50/0.71 tff(2873,plain,
% 0.50/0.71 (store(a_1113, i14, e14) = store(store(a_1112, i11, e11), i14, e14)),
% 0.50/0.71 inference(symmetry,[status(thm)],[1091])).
% 0.50/0.71 tff(2874,plain,
% 0.50/0.71 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[2873])).
% 0.50/0.71 tff(2875,plain,
% 0.50/0.71 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.50/0.71 inference(symmetry,[status(thm)],[2874])).
% 0.50/0.71 tff(2876,plain,
% 0.50/0.71 (store(a_1112, i11, e11) = store(store(a_1111, i6, e6), i11, e11)),
% 0.50/0.71 inference(symmetry,[status(thm)],[1110])).
% 0.50/0.71 tff(2877,plain,
% 0.50/0.71 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.50/0.72 inference(monotonicity,[status(thm)],[2876])).
% 0.50/0.72 tff(2878,plain,
% 0.50/0.72 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.50/0.72 inference(symmetry,[status(thm)],[2877])).
% 0.50/0.72 tff(2879,plain,
% 0.50/0.72 (store(a_1111, i6, e6) = store(store(a_1110, i21, e21), i6, e6)),
% 0.50/0.72 inference(symmetry,[status(thm)],[1129])).
% 0.50/0.72 tff(2880,plain,
% 0.50/0.72 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.72 inference(monotonicity,[status(thm)],[2879])).
% 0.50/0.72 tff(2881,plain,
% 0.50/0.72 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.50/0.72 inference(symmetry,[status(thm)],[2880])).
% 0.50/0.72 tff(2882,plain,
% 0.50/0.72 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.72 inference(unit_resolution,[status(thm)],[1141, 2849])).
% 0.50/0.72 tff(2883,plain,
% 0.50/0.72 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.50/0.72 inference(symmetry,[status(thm)],[2882])).
% 0.50/0.72 tff(2884,plain,
% 0.50/0.72 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.50/0.72 inference(monotonicity,[status(thm)],[1978])).
% 0.50/0.72 tff(2885,plain,
% 0.50/0.72 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.50/0.72 inference(symmetry,[status(thm)],[2884])).
% 0.50/0.72 tff(2886,plain,
% 0.50/0.72 (~(i21 = sk(a_1098, a_1128))),
% 0.50/0.72 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 36, 1987, 1985, 1983, 2807, 1689, 1042, 845, 844, 1739, 485])).
% 0.50/0.72 tff(2887,plain,
% 0.50/0.72 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.50/0.72 inference(unit_resolution,[status(thm)],[1159, 31, 2886])).
% 0.50/0.72 tff(2888,plain,
% 0.50/0.72 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2887])).
% 0.57/0.72 tff(2889,plain,
% 0.57/0.72 (store(a_1109, i8, e8) = store(store(a_1108, i20, e20), i8, e8)),
% 0.57/0.72 inference(symmetry,[status(thm)],[1167])).
% 0.57/0.72 tff(2890,plain,
% 0.57/0.72 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2889])).
% 0.57/0.72 tff(2891,plain,
% 0.57/0.72 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2890])).
% 0.57/0.72 tff(2892,plain,
% 0.57/0.72 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1179, 2760])).
% 0.57/0.72 tff(2893,plain,
% 0.57/0.72 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2892])).
% 0.57/0.72 tff(2894,plain,
% 0.57/0.72 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2267])).
% 0.57/0.72 tff(2895,plain,
% 0.57/0.72 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2894])).
% 0.57/0.72 tff(2896,assumption,(select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2897,plain,
% 0.57/0.72 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2896])).
% 0.57/0.72 tff(2898,plain,
% 0.57/0.72 (store(a_1107, i18, e18) = store(store(a_1106, i25, e25), i18, e18)),
% 0.57/0.72 inference(symmetry,[status(thm)],[1205])).
% 0.57/0.72 tff(2899,plain,
% 0.57/0.72 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2898])).
% 0.57/0.72 tff(2900,plain,
% 0.57/0.72 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2899])).
% 0.57/0.72 tff(2901,assumption,(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2902,plain,
% 0.57/0.72 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2901])).
% 0.57/0.72 tff(2903,plain,
% 0.57/0.72 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[1039])).
% 0.57/0.72 tff(2904,plain,
% 0.57/0.72 (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2903])).
% 0.57/0.72 tff(2905,assumption,(select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2906,plain,
% 0.57/0.72 (select(store(a_1105, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2905])).
% 0.57/0.72 tff(2907,plain,
% 0.57/0.72 (store(a_1105, i15, e15) = store(store(a_1104, i2, e2), i15, e15)),
% 0.57/0.72 inference(symmetry,[status(thm)],[2540])).
% 0.57/0.72 tff(2908,plain,
% 0.57/0.72 (select(store(a_1105, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2907])).
% 0.57/0.72 tff(2909,plain,
% 0.57/0.72 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2908])).
% 0.57/0.72 tff(2910,assumption,(select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2911,plain,
% 0.57/0.72 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2910])).
% 0.57/0.72 tff(2912,plain,
% 0.57/0.72 (store(a_1104, i2, e2) = store(store(a_1103, i30, e30), i2, e2)),
% 0.57/0.72 inference(symmetry,[status(thm)],[2777])).
% 0.57/0.72 tff(2913,plain,
% 0.57/0.72 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2912])).
% 0.57/0.72 tff(2914,plain,
% 0.57/0.72 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2913])).
% 0.57/0.72 tff(2915,assumption,(~(i13 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2916,plain,
% 0.57/0.72 (select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1679, 2915])).
% 0.57/0.72 tff(2917,assumption,(select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2918,assumption,(~(i9 = sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2919,plain,
% 0.57/0.72 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1878, 2918])).
% 0.57/0.72 tff(2920,plain,
% 0.57/0.72 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1393, 31, 2760])).
% 0.57/0.72 tff(2921,plain,
% 0.57/0.72 (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1916, 31, 2849])).
% 0.57/0.72 tff(2922,plain,
% 0.57/0.72 (select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1937, 31, 2816])).
% 0.57/0.72 tff(2923,plain,
% 0.57/0.72 (~(i21 = sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[2022, 1774, 1591, 1559, 1560, 838, 75, 1987, 1985, 1983, 2807, 1689, 1042, 845, 844, 843, 485])).
% 0.57/0.72 tff(2924,plain,
% 0.57/0.72 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1159, 31, 2923])).
% 0.57/0.72 tff(2925,plain,
% 0.57/0.72 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2924])).
% 0.57/0.72 tff(2926,assumption,(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2927,plain,
% 0.57/0.72 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2926])).
% 0.57/0.72 tff(2928,assumption,(i2 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.57/0.72 tff(2929,plain,
% 0.57/0.72 (sk(a_1098, a_1128) = i2),
% 0.57/0.72 inference(symmetry,[status(thm)],[2928])).
% 0.57/0.72 tff(2930,plain,
% 0.57/0.72 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1103, i30, e30), i2, e2), i2)),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2912, 2929])).
% 0.57/0.72 tff(2931,plain,
% 0.57/0.72 (select(store(store(a_1103, i30, e30), i2, e2), i2) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2930])).
% 0.57/0.72 tff(2932,plain,
% 0.57/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1103, i30, e30), i2, e2), i2) = e2)),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(2933,plain,
% 0.57/0.72 (select(store(store(a_1103, i30, e30), i2, e2), i2) = e2),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[2932, 49])).
% 0.57/0.72 tff(2934,plain,
% 0.57/0.72 (e2 = select(store(store(a_1103, i30, e30), i2, e2), i2)),
% 0.57/0.72 inference(symmetry,[status(thm)],[2933])).
% 0.57/0.72 tff(2935,plain,
% 0.57/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i1, e1), i2, e2), i2) = e2)),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(2936,plain,
% 0.57/0.72 (select(store(store(a1, i1, e1), i2, e2), i2) = e2),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[2935, 49])).
% 0.57/0.72 tff(2937,plain,
% 0.57/0.72 ((a_1069 = store(a1, i1, e1)) <=> (a_1069 = store(a1, i1, e1))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(2938,axiom,(a_1069 = store(a1, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp0')).
% 0.57/0.72 tff(2939,plain,
% 0.57/0.72 (a_1069 = store(a1, i1, e1)),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[2938, 2937])).
% 0.57/0.72 tff(2940,plain,
% 0.57/0.72 (store(a1, i1, e1) = a_1069),
% 0.57/0.72 inference(symmetry,[status(thm)],[2939])).
% 0.57/0.72 tff(2941,plain,
% 0.57/0.72 (store(store(a1, i1, e1), i2, e2) = store(a_1069, i2, e2)),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2940])).
% 0.57/0.72 tff(2942,plain,
% 0.57/0.72 (select(store(store(a1, i1, e1), i2, e2), i2) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2941, 2928])).
% 0.57/0.72 tff(2943,plain,
% 0.57/0.72 (select(store(a_1069, i2, e2), sk(a_1098, a_1128)) = select(store(store(a1, i1, e1), i2, e2), i2)),
% 0.57/0.72 inference(symmetry,[status(thm)],[2942])).
% 0.57/0.72 tff(2944,plain,
% 0.57/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1098, a_1128)) | (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1098, a_1128)) | (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(2945,plain,
% 0.57/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1098, a_1128)) | (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))))),
% 0.57/0.72 inference(quant_inst,[status(thm)],[])).
% 0.57/0.72 tff(2946,plain,
% 0.57/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1098, a_1128)) | (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128)))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 0.57/0.72 tff(2947,plain,
% 0.57/0.72 (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[2946, 31, 2806])).
% 0.57/0.72 tff(2948,plain,
% 0.57/0.72 (select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[1763])).
% 0.57/0.72 tff(2949,plain,
% 0.57/0.72 (select(store(a_1070, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[2948])).
% 0.57/0.72 tff(2950,plain,
% 0.57/0.72 ((sk(a_1098, a_1128) = i4) <=> (i4 = sk(a_1098, a_1128))),
% 0.57/0.72 inference(commutativity,[status(thm)],[])).
% 0.57/0.72 tff(2951,plain,
% 0.57/0.72 ((i2 = i4) <=> (sk(a_1098, a_1128) = i4)),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2928])).
% 0.57/0.72 tff(2952,plain,
% 0.57/0.72 ((i2 = i4) <=> (i4 = sk(a_1098, a_1128))),
% 0.57/0.72 inference(transitivity,[status(thm)],[2951, 2950])).
% 0.57/0.72 tff(2953,plain,
% 0.57/0.72 ((~(i2 = i4)) <=> (~(i4 = sk(a_1098, a_1128)))),
% 0.57/0.72 inference(monotonicity,[status(thm)],[2952])).
% 0.57/0.72 tff(2954,plain,
% 0.57/0.72 ((~(i2 = i4)) <=> (~(i2 = i4))),
% 0.57/0.72 inference(rewrite,[status(thm)],[])).
% 0.57/0.72 tff(2955,axiom,(~(i2 = i4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp467')).
% 0.57/0.72 tff(2956,plain,
% 0.57/0.72 (~(i2 = i4)),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 0.57/0.72 tff(2957,plain,
% 0.57/0.72 (~(i4 = sk(a_1098, a_1128))),
% 0.57/0.72 inference(modus_ponens,[status(thm)],[2956, 2953])).
% 0.57/0.72 tff(2958,plain,
% 0.57/0.72 (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1955, 2957])).
% 0.57/0.72 tff(2959,plain,
% 0.57/0.72 (select(store(a_1071, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1946])).
% 0.57/0.72 tff(2960,assumption,(select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2961,plain,
% 0.57/0.72 (select(store(a_1072, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1925])).
% 0.57/0.72 tff(2962,assumption,(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2963,plain,
% 0.57/0.72 (select(store(a_1073, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1904])).
% 0.57/0.72 tff(2964,assumption,(select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2965,plain,
% 0.57/0.72 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1893])).
% 0.57/0.72 tff(2966,assumption,(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2967,plain,
% 0.57/0.72 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1377])).
% 0.57/0.72 tff(2968,assumption,(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2969,plain,
% 0.57/0.72 (select(store(a_1076, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1358])).
% 0.57/0.72 tff(2970,plain,
% 0.57/0.72 (select(store(a_1077, i10, e10), sk(a_1098, a_1128)) = select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[1347])).
% 0.57/0.72 tff(2971,plain,
% 0.57/0.72 (select(store(a_1078, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[425])).
% 0.57/0.72 tff(2972,plain,
% 0.57/0.72 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[406])).
% 0.57/0.72 tff(2973,assumption,(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.72 tff(2974,plain,
% 0.57/0.72 (select(store(a_1080, i13, e13), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[387])).
% 0.57/0.72 tff(2975,plain,
% 0.57/0.72 (select(store(a_1081, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[368])).
% 0.57/0.72 tff(2976,plain,
% 0.57/0.72 (select(store(a_1082, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[349])).
% 0.57/0.72 tff(2977,plain,
% 0.57/0.72 (select(store(a_1083, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128))),
% 0.57/0.72 inference(symmetry,[status(thm)],[330])).
% 0.57/0.72 tff(2978,plain,
% 0.57/0.72 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.57/0.72 inference(unit_resolution,[status(thm)],[1537, 2923])).
% 0.57/0.72 tff(2979,plain,
% 0.57/0.72 (e_1130 = e_1131),
% 0.57/0.72 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 1560, 968, 1559, 957, 1591, 946, 945, 1553, 1552, 1551, 1774, 1539, 2978, 1527, 2203, 1515, 2461, 1503, 2574, 1491, 2552, 2977, 2549, 2976, 2569, 2975, 2575, 2974, 2973, 2972, 2822, 2971, 2821, 2970, 2917, 2969, 2968, 2967, 2966, 2965, 2964, 2963, 2962, 2961, 2960, 2959, 2958, 2949, 2947, 2943, 2936, 2934, 2931, 2911, 2909, 2906, 2904, 2902, 2900, 2897, 2895, 2927, 2891, 2925, 2885, 2600, 2881, 2434, 2878, 2281, 2875, 1086, 2869, 2190, 2865, 1988, 2862, 1986, 2860, 1984, 1704, 2808, 1693, 1690, 1688, 1043, 1685, 988, 1478, 987, 1475, 986, 1472, 924, 932, 864, 929, 486, 926, 14])).
% 0.57/0.73 tff(2980,plain,
% 0.57/0.73 ($false),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[432, 2979])).
% 0.57/0.73 tff(2981,plain,((~(i2 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))) | (~(select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128)))) | (~(select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128)))) | (~(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))) | (~(select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128)))) | (i3 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.73 tff(2982,plain,
% 0.57/0.73 (~(i2 = sk(a_1098, a_1128))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[2981, 2922, 1739, 844, 845, 1042, 1689, 1983, 1985, 1987, 2866, 2280, 2433, 2882, 2892, 2896, 2901, 2905, 2910, 485, 2921, 1897, 2920, 2919, 2917, 2821, 2822, 2916, 2575, 2569, 2549, 2552, 2574, 2431, 2203, 1774, 1591, 1559, 1560, 838, 36, 2806])).
% 0.57/0.73 tff(2983,plain,
% 0.57/0.73 ((i2 = sk(a_1098, a_1128)) | (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[2793, 31])).
% 0.57/0.73 tff(2984,plain,
% 0.57/0.73 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[2983, 2982])).
% 0.57/0.73 tff(2985,plain,
% 0.57/0.73 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2984])).
% 0.57/0.73 tff(2986,plain,
% 0.57/0.73 (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2748])).
% 0.57/0.73 tff(2987,plain,
% 0.57/0.73 (select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[2426, 31, 10])).
% 0.57/0.73 tff(2988,plain,
% 0.57/0.73 (select(store(a_1102, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2987])).
% 0.57/0.73 tff(2989,plain,
% 0.57/0.73 (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2740])).
% 0.57/0.73 tff(2990,plain,
% 0.57/0.73 (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[2731, 31, 2918])).
% 0.57/0.73 tff(2991,plain,
% 0.57/0.73 (select(store(a_1101, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2990])).
% 0.57/0.73 tff(2992,plain,
% 0.57/0.73 (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2722])).
% 0.57/0.73 tff(2993,assumption,(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.73 tff(2994,plain,
% 0.57/0.73 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2993])).
% 0.57/0.73 tff(2995,plain,
% 0.57/0.73 (select(store(a_1102, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2741])).
% 0.57/0.73 tff(2996,assumption,(select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.73 tff(2997,plain,
% 0.57/0.73 (select(store(a_1101, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[2996])).
% 0.57/0.73 tff(2998,assumption,(i4 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.57/0.73 tff(2999,plain,
% 0.57/0.73 (sk(a_1098, a_1128) = i4),
% 0.57/0.73 inference(symmetry,[status(thm)],[2998])).
% 0.57/0.73 tff(3000,plain,
% 0.57/0.73 (select(store(a_1101, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1100, i19, e19), i4, e4), i4)),
% 0.57/0.73 inference(monotonicity,[status(thm)],[2721, 2999])).
% 0.57/0.73 tff(3001,plain,
% 0.57/0.73 (select(store(store(a_1100, i19, e19), i4, e4), i4) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))),
% 0.57/0.73 inference(symmetry,[status(thm)],[3000])).
% 0.57/0.73 tff(3002,plain,
% 0.57/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1100, i19, e19), i4, e4), i4) = e4)),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(3003,plain,
% 0.57/0.73 (select(store(store(a_1100, i19, e19), i4, e4), i4) = e4),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[3002, 49])).
% 0.57/0.73 tff(3004,plain,
% 0.57/0.73 (e4 = select(store(store(a_1100, i19, e19), i4, e4), i4)),
% 0.57/0.73 inference(symmetry,[status(thm)],[3003])).
% 0.57/0.73 tff(3005,plain,
% 0.57/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1070, i3, e3), i4, e4), i4) = e4)),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(3006,plain,
% 0.57/0.73 (select(store(store(a_1070, i3, e3), i4, e4), i4) = e4),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[3005, 49])).
% 0.57/0.73 tff(3007,plain,
% 0.57/0.73 (select(store(store(a_1070, i3, e3), i4, e4), i4) = select(store(a_1071, i4, e4), sk(a_1098, a_1128))),
% 0.57/0.73 inference(monotonicity,[status(thm)],[1945, 2998])).
% 0.57/0.73 tff(3008,plain,
% 0.57/0.73 (select(store(a_1071, i4, e4), sk(a_1098, a_1128)) = select(store(store(a_1070, i3, e3), i4, e4), i4)),
% 0.57/0.73 inference(symmetry,[status(thm)],[3007])).
% 0.57/0.73 tff(3009,plain,
% 0.57/0.73 (e_1130 = e_1131),
% 0.57/0.73 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 1560, 968, 1559, 957, 1591, 946, 945, 1553, 1552, 1551, 1774, 1539, 2503, 1527, 2203, 1515, 2461, 1503, 2574, 1491, 2552, 2977, 2549, 2976, 2569, 2975, 2575, 2974, 2973, 2972, 2822, 2971, 2821, 2970, 2917, 2969, 2968, 2967, 2966, 2965, 2964, 2963, 2962, 2961, 2960, 3008, 3006, 3004, 3001, 2997, 2989, 2995, 2986, 2994, 2914, 2911, 2909, 2906, 2904, 2902, 2900, 2897, 2895, 2927, 2891, 2480, 2885, 2600, 2881, 2434, 2878, 2281, 2875, 1086, 2869, 2190, 2865, 1988, 2862, 1986, 2860, 1984, 1704, 1982, 1693, 1690, 1688, 1043, 1685, 988, 1478, 987, 1475, 986, 1472, 924, 932, 864, 929, 486, 926, 14])).
% 0.57/0.73 tff(3010,plain,
% 0.57/0.73 ($false),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[432, 3009])).
% 0.57/0.73 tff(3011,plain,((~(i4 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))) | (~(select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128)))) | (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))) | (~(select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128)))) | (~(select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128)))) | (~(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))) | (~(select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.74 tff(3012,plain,
% 0.57/0.74 (~(i4 = sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3011, 2984, 1739, 844, 845, 1042, 1689, 2807, 1983, 1985, 1987, 2866, 2280, 2433, 2882, 2892, 2896, 2901, 2905, 2910, 485, 2987, 2990, 2922, 2921, 1897, 2920, 2919, 2917, 2821, 2822, 2916, 2575, 2569, 2549, 2552, 2574, 2431, 2203, 1774, 1591, 1559, 1560, 838, 36])).
% 0.57/0.74 tff(3013,plain,
% 0.57/0.74 ((i4 = sk(a_1098, a_1128)) | (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128)))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[2714, 31])).
% 0.57/0.74 tff(3014,plain,
% 0.57/0.74 (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3013, 3012])).
% 0.57/0.74 tff(3015,plain,
% 0.57/0.74 (select(store(a_1100, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[3014])).
% 0.57/0.74 tff(3016,plain,
% 0.57/0.74 (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[2705])).
% 0.57/0.74 tff(3017,plain,
% 0.57/0.74 (select(store(a_1099, i1, e1), sk(a_1098, a_1128)) = select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[2698])).
% 0.57/0.74 tff(3018,plain,
% 0.57/0.74 (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[2694])).
% 0.57/0.74 tff(3019,plain,
% 0.57/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1098, a_1128)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1098, a_1128)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128))))),
% 0.57/0.74 inference(rewrite,[status(thm)],[])).
% 0.57/0.74 tff(3020,plain,
% 0.57/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1098, a_1128)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128))))),
% 0.57/0.74 inference(quant_inst,[status(thm)],[])).
% 0.57/0.74 tff(3021,plain,
% 0.57/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1098, a_1128)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128)))),
% 0.57/0.74 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 0.57/0.74 tff(3022,plain,
% 0.57/0.74 (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3021, 31, 2982])).
% 0.57/0.74 tff(3023,plain,
% 0.57/0.74 (~(i4 = sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3011, 2993, 843, 844, 845, 1042, 1689, 1981, 1983, 1985, 1987, 2163, 2280, 2433, 2599, 2926, 2896, 2901, 2905, 2910, 485, 2741, 2996, 2960, 2962, 2964, 2966, 2968, 2917, 2821, 2822, 2973, 2575, 2569, 2549, 2552, 2574, 2461, 2203, 1774, 1591, 1559, 1560, 838, 75])).
% 0.57/0.74 tff(3024,plain,
% 0.57/0.74 (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3013, 3023])).
% 0.57/0.74 tff(3025,plain,
% 0.57/0.74 (select(store(a_1100, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[3024])).
% 0.57/0.74 tff(3026,assumption,(select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.74 tff(3027,plain,
% 0.57/0.74 (select(store(a_1099, i1, e1), sk(a_1098, a_1128)) = select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[3026])).
% 0.57/0.74 tff(3028,assumption,(i1 = sk(a_1098, a_1128)), introduced(assumption)).
% 0.57/0.74 tff(3029,plain,
% 0.57/0.74 (sk(a_1098, a_1128) = i1),
% 0.57/0.74 inference(symmetry,[status(thm)],[3028])).
% 0.57/0.74 tff(3030,plain,
% 0.57/0.74 (select(store(a_1099, i1, e1), sk(a_1098, a_1128)) = select(store(store(a1, i13, e13), i1, e1), i1)),
% 0.57/0.74 inference(monotonicity,[status(thm)],[2693, 3029])).
% 0.57/0.74 tff(3031,plain,
% 0.57/0.74 (select(store(store(a1, i13, e13), i1, e1), i1) = select(store(a_1099, i1, e1), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[3030])).
% 0.57/0.74 tff(3032,plain,
% 0.57/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i13, e13), i1, e1), i1) = e1)),
% 0.57/0.74 inference(quant_inst,[status(thm)],[])).
% 0.57/0.74 tff(3033,plain,
% 0.57/0.74 (select(store(store(a1, i13, e13), i1, e1), i1) = e1),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3032, 49])).
% 0.57/0.74 tff(3034,plain,
% 0.57/0.74 (e1 = select(store(store(a1, i13, e13), i1, e1), i1)),
% 0.57/0.74 inference(symmetry,[status(thm)],[3033])).
% 0.57/0.74 tff(3035,plain,
% 0.57/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i1, e1), i1) = e1)),
% 0.57/0.74 inference(quant_inst,[status(thm)],[])).
% 0.57/0.74 tff(3036,plain,
% 0.57/0.74 (select(store(a1, i1, e1), i1) = e1),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[3035, 49])).
% 0.57/0.74 tff(3037,plain,
% 0.57/0.74 (select(store(a1, i1, e1), i1) = select(store(a1, i1, e1), sk(a_1098, a_1128))),
% 0.57/0.74 inference(monotonicity,[status(thm)],[3028])).
% 0.57/0.74 tff(3038,plain,
% 0.57/0.74 (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(store(a1, i1, e1), i1)),
% 0.57/0.74 inference(symmetry,[status(thm)],[3037])).
% 0.57/0.74 tff(3039,assumption,(select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.74 tff(3040,plain,
% 0.57/0.74 (select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))),
% 0.57/0.74 inference(monotonicity,[status(thm)],[2941])).
% 0.57/0.74 tff(3041,plain,
% 0.57/0.74 (select(store(a_1069, i2, e2), sk(a_1098, a_1128)) = select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128))),
% 0.57/0.74 inference(symmetry,[status(thm)],[3040])).
% 0.57/0.74 tff(3042,assumption,(select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128))), introduced(assumption)).
% 0.57/0.74 tff(3043,plain,
% 0.57/0.74 (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[1955, 3023])).
% 0.57/0.74 tff(3044,plain,
% 0.57/0.74 (e_1130 = e_1131),
% 0.57/0.74 inference(transitivity,[status(thm)],[4, 980, 75, 979, 836, 978, 838, 977, 1560, 968, 1559, 957, 1591, 946, 945, 1553, 1552, 1551, 1774, 1539, 2503, 1527, 2203, 1515, 2461, 1503, 2574, 1491, 2552, 2977, 2549, 2976, 2569, 2975, 2575, 2974, 2973, 2972, 2822, 2971, 2821, 2970, 2917, 2969, 2968, 2967, 2966, 2965, 2964, 2963, 2962, 2961, 2960, 2959, 3043, 2949, 3042, 3041, 3039, 3038, 3036, 3034, 3031, 3027, 3016, 3025, 2992, 2997, 2989, 2995, 2986, 2994, 2914, 2911, 2909, 2906, 2904, 2902, 2900, 2897, 2895, 2927, 2891, 2480, 2885, 2600, 2881, 2434, 2878, 2281, 2875, 1086, 2869, 2190, 2865, 1988, 2862, 1986, 2860, 1984, 1704, 1982, 1693, 1690, 1688, 1043, 1685, 988, 1478, 987, 1475, 986, 1472, 924, 932, 864, 929, 486, 926, 14])).
% 0.57/0.74 tff(3045,plain,
% 0.57/0.74 ($false),
% 0.57/0.74 inference(unit_resolution,[status(thm)],[432, 3044])).
% 0.57/0.74 tff(3046,plain,((~(i1 = sk(a_1098, a_1128))) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))) | (~(select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128)))) | (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))) | (~(select(store(store(a_1102, i9, e9), i30, e30), sk(a_1098, a_1128)) = select(store(a_1102, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128)))) | (~(select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(a_1099, i1, e1), sk(a_1098, a_1128)))) | (~(select(store(store(a1, i1, e1), i2, e2), sk(a_1098, a_1128)) = select(store(a1, i1, e1), sk(a_1098, a_1128)))) | (~(select(store(store(a_1069, i2, e2), i3, e3), sk(a_1098, a_1128)) = select(store(a_1069, i2, e2), sk(a_1098, a_1128)))) | (~(select(store(store(a_1071, i4, e4), i5, e5), sk(a_1098, a_1128)) = select(store(a_1071, i4, e4), sk(a_1098, a_1128)))) | (~(select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(a_1072, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128)))) | (~(select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (~(select(store(store(a_1096, i29, e29), i30, e30), sk(a_1098, a_1128)) = select(store(a_1096, i29, e29), sk(a_1098, a_1128))))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.75 tff(3047,plain,
% 0.57/0.75 (~(i1 = sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3046, 2984, 1739, 844, 845, 1042, 1689, 2807, 1983, 1985, 1987, 2866, 2280, 2433, 2882, 2892, 2896, 2901, 2905, 2910, 485, 2987, 2990, 2698, 3022, 2947, 2922, 2921, 1897, 2920, 2919, 2917, 2821, 2822, 2916, 2575, 2569, 2549, 2552, 2574, 2431, 2203, 1774, 1591, 1559, 1560, 838, 36])).
% 0.57/0.75 tff(3048,plain,
% 0.57/0.75 ((i1 = sk(a_1098, a_1128)) | (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128)))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[2686, 31])).
% 0.57/0.75 tff(3049,plain,
% 0.57/0.75 (select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3048, 3047])).
% 0.57/0.75 tff(3050,plain,
% 0.57/0.75 (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(store(store(a1, i13, e13), i1, e1), sk(a_1098, a_1128))),
% 0.57/0.75 inference(symmetry,[status(thm)],[3049])).
% 0.57/0.75 tff(3051,plain,
% 0.57/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1098, a_1128)) | (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1098, a_1128)) | (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))),
% 0.57/0.75 inference(rewrite,[status(thm)],[])).
% 0.57/0.75 tff(3052,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1098, a_1128)) | (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))),
% 0.57/0.75 inference(quant_inst,[status(thm)],[])).
% 0.57/0.75 tff(3053,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1098, a_1128)) | (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128)))),
% 0.57/0.75 inference(modus_ponens,[status(thm)],[3052, 3051])).
% 0.57/0.75 tff(3054,plain,
% 0.57/0.75 (select(store(a1, i13, e13), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3053, 31, 2915])).
% 0.57/0.75 tff(3055,plain,
% 0.57/0.75 (select(a1, sk(a_1098, a_1128)) = select(store(a1, i13, e13), sk(a_1098, a_1128))),
% 0.57/0.75 inference(symmetry,[status(thm)],[3054])).
% 0.57/0.75 tff(3056,plain,
% 0.57/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1098, a_1128)) | (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1098, a_1128)) | (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))),
% 0.57/0.75 inference(rewrite,[status(thm)],[])).
% 0.57/0.75 tff(3057,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1098, a_1128)) | (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))))),
% 0.57/0.75 inference(quant_inst,[status(thm)],[])).
% 0.57/0.75 tff(3058,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1098, a_1128)) | (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128)))),
% 0.57/0.75 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 0.57/0.75 tff(3059,plain,
% 0.57/0.75 ((i1 = sk(a_1098, a_1128)) | (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128)))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3058, 31])).
% 0.57/0.75 tff(3060,plain,
% 0.57/0.75 (select(store(a1, i1, e1), sk(a_1098, a_1128)) = select(a1, sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3059, 3047])).
% 0.57/0.75 tff(3061,plain,
% 0.57/0.75 (select(store(store(a_1070, i3, e3), i4, e4), sk(a_1098, a_1128)) = select(store(a_1070, i3, e3), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[1955, 3012])).
% 0.57/0.75 tff(3062,plain,
% 0.57/0.75 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[1537, 2886])).
% 0.57/0.75 tff(3063,plain,
% 0.57/0.75 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[208, 31, 2856])).
% 0.57/0.75 tff(3064,plain,
% 0.57/0.75 (select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[189, 31, 2853])).
% 0.57/0.75 tff(3065,plain,
% 0.57/0.75 (select(store(store(a_1095, i28, e28), i29, e29), sk(a_1098, a_1128)) = select(store(a_1095, i28, e28), sk(a_1098, a_1128))),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[94, 2870])).
% 0.57/0.75 tff(3066,plain,
% 0.57/0.75 (e_1130 = e_1131),
% 0.57/0.75 inference(transitivity,[status(thm)],[4, 980, 36, 979, 3065, 978, 838, 977, 1560, 968, 1559, 957, 1591, 946, 3064, 1553, 3063, 1551, 1774, 1539, 3062, 1527, 2203, 1515, 2431, 1503, 2574, 1491, 2552, 2977, 2549, 2976, 2569, 2975, 2575, 2974, 2916, 2972, 2822, 2971, 2821, 2970, 2917, 2969, 2919, 2967, 2920, 2965, 1897, 2963, 2921, 2961, 2922, 2959, 3061, 2949, 2947, 3041, 3022, 3060, 3055, 3050, 3018, 3017, 3016, 3015, 2992, 2991, 2989, 2988, 2986, 2985, 2914, 2911, 2909, 2906, 2904, 2902, 2900, 2897, 2895, 2893, 2891, 2888, 2885, 2883, 2881, 2434, 2878, 2281, 2875, 2872, 2869, 2867, 2865, 1988, 2862, 1986, 2860, 1984, 1704, 2808, 1693, 1690, 1688, 1043, 1685, 988, 1478, 987, 1475, 2858, 1472, 2855, 932, 1740, 929, 486, 926, 14])).
% 0.57/0.75 tff(3067,plain,
% 0.57/0.75 ($false),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[432, 3066])).
% 0.57/0.75 tff(3068,plain,((i9 = sk(a_1098, a_1128)) | (~(select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128)))) | (~(select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128)))) | (~(select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128)))) | (~(select(store(store(a_1076, i9, e9), i10, e10), sk(a_1098, a_1128)) = select(store(a_1076, i9, e9), sk(a_1098, a_1128)))) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1081, i14, e14), i15, e15), sk(a_1098, a_1128)) = select(store(a_1081, i14, e14), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))) | (~(select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128)))) | (~(select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128)))) | (~(select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128)))) | (~(select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128)))) | (~(select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128)))) | (~(select(store(store(a_1094, i27, e27), i28, e28), sk(a_1098, a_1128)) = select(store(a_1094, i27, e27), sk(a_1098, a_1128)))) | (i13 = sk(a_1098, a_1128)) | (i19 = sk(a_1098, a_1128)) | (i3 = sk(a_1098, a_1128)) | (i30 = sk(a_1098, a_1128)) | (i5 = sk(a_1098, a_1128)) | (i6 = sk(a_1098, a_1128)) | (i7 = sk(a_1098, a_1128)) | (i8 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.75 tff(3069,plain,
% 0.57/0.75 (i9 = sk(a_1098, a_1128)),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3068, 2852, 1042, 1689, 844, 1461, 2332, 2811, 2814, 2280, 2433, 2821, 2760, 2847, 2851, 2850, 2534, 2822, 2575, 2840, 2549, 2552, 2837, 2834, 2828, 2654, 2824, 2319, 768, 2842, 2317, 2806, 10, 2816, 2849, 1738, 452])).
% 0.57/0.75 tff(3070,plain,
% 0.57/0.75 (select(store(store(a_1075, i8, e8), i9, e9), i9) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.57/0.75 inference(monotonicity,[status(thm)],[3069])).
% 0.57/0.75 tff(3071,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1075, i8, e8), i9, e9), i9) = e9)),
% 0.57/0.75 inference(quant_inst,[status(thm)],[])).
% 0.57/0.75 tff(3072,plain,
% 0.57/0.75 (select(store(store(a_1075, i8, e8), i9, e9), i9) = e9),
% 0.57/0.75 inference(unit_resolution,[status(thm)],[3071, 49])).
% 0.57/0.75 tff(3073,plain,
% 0.57/0.75 (e9 = select(store(store(a_1075, i8, e8), i9, e9), i9)),
% 0.57/0.75 inference(symmetry,[status(thm)],[3072])).
% 0.57/0.75 tff(3074,plain,
% 0.57/0.75 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1101, i4, e4), i9, e9), i9) = e9)),
% 0.57/0.76 inference(quant_inst,[status(thm)],[])).
% 0.57/0.76 tff(3075,plain,
% 0.57/0.76 (select(store(store(a_1101, i4, e4), i9, e9), i9) = e9),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3074, 49])).
% 0.57/0.76 tff(3076,plain,
% 0.57/0.76 (sk(a_1098, a_1128) = i9),
% 0.57/0.76 inference(symmetry,[status(thm)],[3069])).
% 0.57/0.76 tff(3077,plain,
% 0.57/0.76 (select(store(a_1102, i9, e9), sk(a_1098, a_1128)) = select(store(store(a_1101, i4, e4), i9, e9), i9)),
% 0.57/0.76 inference(monotonicity,[status(thm)],[2739, 3076])).
% 0.57/0.76 tff(3078,plain,
% 0.57/0.76 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = e_1130),
% 0.57/0.76 inference(transitivity,[status(thm)],[2748, 2429, 3077, 3075, 3073, 3070, 1358, 2848, 1347, 2846, 425, 2845, 406, 2844, 387, 2624, 368, 2841, 349, 2622, 330, 2621, 311, 2838, 292, 2662, 273, 2835, 254, 2832, 235, 2829, 216, 2827, 197, 2247, 178, 2655, 159, 2825, 140, 2823, 121, 769, 102, 709, 82, 461, 74, 5])).
% 0.57/0.76 tff(3079,plain,
% 0.57/0.76 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[1159, 31, 2830])).
% 0.57/0.76 tff(3080,plain,
% 0.57/0.76 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[3079])).
% 0.57/0.76 tff(3081,assumption,(~(select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.57/0.76 tff(3082,plain,
% 0.57/0.76 ($false),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[1178, 31, 2760, 3081])).
% 0.57/0.76 tff(3083,plain,((select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))) | (i8 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.76 tff(3084,plain,
% 0.57/0.76 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3083, 2760])).
% 0.57/0.76 tff(3085,plain,
% 0.57/0.76 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[3084])).
% 0.57/0.76 tff(3086,plain,
% 0.57/0.76 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[2851])).
% 0.57/0.76 tff(3087,plain,
% 0.57/0.76 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[2850])).
% 0.57/0.76 tff(3088,plain,
% 0.57/0.76 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[2852])).
% 0.57/0.76 tff(3089,plain,
% 0.57/0.76 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = e_1131),
% 0.57/0.76 inference(transitivity,[status(thm)],[2778, 3088, 2767, 2535, 2530, 3087, 1206, 3086, 1187, 3085, 1168, 3080, 1149, 2883, 1130, 2434, 1111, 2281, 1092, 2820, 1081, 2818, 694, 2815, 675, 2812, 656, 2809, 637, 2808, 618, 1690, 599, 1043, 580, 2805, 561, 987, 542, 2804, 523, 2271, 504, 1740, 459, 453, 25, 14])).
% 0.57/0.76 tff(3090,plain,
% 0.57/0.76 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3089, 3078])).
% 0.57/0.76 tff(3091,plain,
% 0.57/0.76 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.57/0.76 inference(transitivity,[status(thm)],[3090, 1])).
% 0.57/0.76 tff(3092,plain,
% 0.57/0.76 ((e_1130 = e_1131) <=> (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.57/0.76 inference(symmetry,[status(thm)],[3091])).
% 0.57/0.76 tff(3093,plain,
% 0.57/0.76 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3092])).
% 0.57/0.76 tff(3094,plain,
% 0.57/0.76 (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[432, 3093])).
% 0.57/0.76 tff(3095,plain,
% 0.57/0.76 ((i2 = i9) <=> (i2 = sk(a_1098, a_1128))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3069])).
% 0.57/0.76 tff(3096,plain,
% 0.57/0.76 ((~(i2 = i9)) <=> (~(i2 = sk(a_1098, a_1128)))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3095])).
% 0.57/0.76 tff(3097,plain,
% 0.57/0.76 ((~(i2 = i9)) <=> (~(i2 = i9))),
% 0.57/0.76 inference(rewrite,[status(thm)],[])).
% 0.57/0.76 tff(3098,axiom,(~(i2 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp462')).
% 0.57/0.76 tff(3099,plain,
% 0.57/0.76 (~(i2 = i9)),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[3098, 3097])).
% 0.57/0.76 tff(3100,plain,
% 0.57/0.76 (~(i2 = sk(a_1098, a_1128))),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[3099, 3096])).
% 0.57/0.76 tff(3101,plain,
% 0.57/0.76 ($false),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[2793, 31, 3100, 3094])).
% 0.57/0.76 tff(3102,plain,((i6 = sk(a_1098, a_1128)) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (i8 = sk(a_1098, a_1128)) | (i19 = sk(a_1098, a_1128)) | (i3 = sk(a_1098, a_1128)) | (i30 = sk(a_1098, a_1128)) | (i5 = sk(a_1098, a_1128)) | (i7 = sk(a_1098, a_1128)) | (i25 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.76 tff(3103,plain,
% 0.57/0.76 (i6 = sk(a_1098, a_1128)),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3102, 2760, 2822, 2575, 2821, 2552, 2246, 2433, 2280, 1689, 1042, 844, 2270, 2549, 2317, 2806, 10, 2816, 1738, 1230])).
% 0.57/0.76 tff(3104,plain,
% 0.57/0.76 (select(store(store(a_1110, i21, e21), i6, e6), i6) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[1129, 3103])).
% 0.57/0.76 tff(3105,plain,
% 0.57/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1110, i21, e21), i6, e6), i6) = e6)),
% 0.57/0.76 inference(quant_inst,[status(thm)],[])).
% 0.57/0.76 tff(3106,plain,
% 0.57/0.76 (select(store(store(a_1110, i21, e21), i6, e6), i6) = e6),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3105, 49])).
% 0.57/0.76 tff(3107,plain,
% 0.57/0.76 (e6 = select(store(store(a_1110, i21, e21), i6, e6), i6)),
% 0.57/0.76 inference(symmetry,[status(thm)],[3106])).
% 0.57/0.76 tff(3108,plain,
% 0.57/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1072, i5, e5), i6, e6), i6) = e6)),
% 0.57/0.76 inference(quant_inst,[status(thm)],[])).
% 0.57/0.76 tff(3109,plain,
% 0.57/0.76 (select(store(store(a_1072, i5, e5), i6, e6), i6) = e6),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3108, 49])).
% 0.57/0.76 tff(3110,plain,
% 0.57/0.76 (sk(a_1098, a_1128) = i6),
% 0.57/0.76 inference(symmetry,[status(thm)],[3103])).
% 0.57/0.76 tff(3111,plain,
% 0.57/0.76 (select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1072, i5, e5), i6, e6), i6)),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3110])).
% 0.57/0.76 tff(3112,plain,
% 0.57/0.76 (store(a_1073, i6, e6) = store(store(a_1072, i5, e5), i6, e6)),
% 0.57/0.76 inference(symmetry,[status(thm)],[1903])).
% 0.57/0.76 tff(3113,plain,
% 0.57/0.76 (select(store(a_1073, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1072, i5, e5), i6, e6), sk(a_1098, a_1128))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3112])).
% 0.57/0.76 tff(3114,assumption,(~(select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128)))), introduced(assumption)).
% 0.57/0.76 tff(3115,plain,
% 0.57/0.76 ($false),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[1896, 31, 1738, 3114])).
% 0.57/0.76 tff(3116,plain,((select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))) | (i7 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.57/0.76 tff(3117,plain,
% 0.57/0.76 (select(store(store(a_1073, i6, e6), i7, e7), sk(a_1098, a_1128)) = select(store(a_1073, i6, e6), sk(a_1098, a_1128))),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[3116, 1738])).
% 0.57/0.76 tff(3118,plain,
% 0.57/0.76 (select(store(a_1074, i7, e7), sk(a_1098, a_1128)) = e_1131),
% 0.57/0.76 inference(transitivity,[status(thm)],[786, 3117, 3113, 3111, 3109, 3107, 3104, 2434, 1111, 2281, 1092, 2820, 1081, 2818, 694, 2815, 675, 2812, 656, 2809, 637, 2808, 618, 1690, 599, 1043, 580, 2805, 561, 987, 542, 2804, 523, 2271, 504, 1740, 459, 453, 25, 14])).
% 0.57/0.76 tff(3119,plain,
% 0.57/0.76 (select(store(a_1079, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[2973])).
% 0.57/0.76 tff(3120,plain,
% 0.57/0.76 ((i6 = i9) <=> (sk(a_1098, a_1128) = i9)),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3103])).
% 0.57/0.76 tff(3121,plain,
% 0.57/0.76 ((i6 = i9) <=> (i9 = sk(a_1098, a_1128))),
% 0.57/0.76 inference(transitivity,[status(thm)],[3120, 1359])).
% 0.57/0.76 tff(3122,plain,
% 0.57/0.76 ((~(i6 = i9)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3121])).
% 0.57/0.76 tff(3123,plain,
% 0.57/0.76 ((~(i6 = i9)) <=> (~(i6 = i9))),
% 0.57/0.76 inference(rewrite,[status(thm)],[])).
% 0.57/0.76 tff(3124,axiom,(~(i6 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp360')).
% 0.57/0.76 tff(3125,plain,
% 0.57/0.76 (~(i6 = i9)),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 0.57/0.76 tff(3126,plain,
% 0.57/0.76 (~(i9 = sk(a_1098, a_1128))),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[3125, 3122])).
% 0.57/0.76 tff(3127,plain,
% 0.57/0.76 (select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128)) = select(store(a_1075, i8, e8), sk(a_1098, a_1128))),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[1878, 3126])).
% 0.57/0.76 tff(3128,plain,
% 0.57/0.76 (select(store(a_1075, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1075, i8, e8), i9, e9), sk(a_1098, a_1128))),
% 0.57/0.76 inference(symmetry,[status(thm)],[3127])).
% 0.57/0.76 tff(3129,plain,
% 0.57/0.76 (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = e_1130),
% 0.57/0.76 inference(transitivity,[status(thm)],[1377, 3128, 1358, 2848, 1347, 2846, 425, 2845, 406, 3119, 387, 2624, 368, 2841, 349, 2622, 330, 2621, 311, 2838, 292, 2662, 273, 2835, 254, 2832, 235, 2829, 216, 2827, 197, 2247, 178, 2655, 159, 2825, 140, 2823, 121, 769, 102, 709, 82, 461, 74, 5])).
% 0.57/0.76 tff(3130,plain,
% 0.57/0.76 ((select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3129, 3118])).
% 0.57/0.76 tff(3131,plain,
% 0.57/0.76 ((e_1130 = e_1131) <=> (select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.57/0.76 inference(symmetry,[status(thm)],[3130])).
% 0.57/0.76 tff(3132,plain,
% 0.57/0.76 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128))))),
% 0.57/0.76 inference(monotonicity,[status(thm)],[3131])).
% 0.57/0.76 tff(3133,plain,
% 0.57/0.76 (~(select(store(store(a_1074, i7, e7), i8, e8), sk(a_1098, a_1128)) = select(store(a_1074, i7, e7), sk(a_1098, a_1128)))),
% 0.57/0.76 inference(modus_ponens,[status(thm)],[432, 3132])).
% 0.57/0.76 tff(3134,plain,
% 0.57/0.76 ($false),
% 0.57/0.76 inference(unit_resolution,[status(thm)],[1393, 31, 2760, 3133])).
% 0.57/0.76 tff(3135,plain,((i8 = sk(a_1098, a_1128)) | (~(select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128)))) | (~(select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128)))) | (~(select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128)))) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1077, i10, e10), i11, e11), sk(a_1098, a_1128)) = select(store(a_1077, i10, e10), sk(a_1098, a_1128)))) | (~(select(store(store(a_1078, i11, e11), i12, e12), sk(a_1098, a_1128)) = select(store(a_1078, i11, e11), sk(a_1098, a_1128)))) | (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))) | (~(select(store(store(a_1080, i13, e13), i14, e14), sk(a_1098, a_1128)) = select(store(a_1080, i13, e13), sk(a_1098, a_1128)))) | (~(select(store(store(a_1082, i15, e15), i16, e16), sk(a_1098, a_1128)) = select(store(a_1082, i15, e15), sk(a_1098, a_1128)))) | (~(select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(a_1083, i16, e16), sk(a_1098, a_1128)))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (i19 = sk(a_1098, a_1128)) | (i3 = sk(a_1098, a_1128)) | (i30 = sk(a_1098, a_1128)) | (i5 = sk(a_1098, a_1128)) | (i7 = sk(a_1098, a_1128)) | (i25 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.76 tff(3136,plain,
% 0.61/0.76 (~(select(store(store(a_1079, i12, e12), i13, e13), sk(a_1098, a_1128)) = select(store(a_1079, i12, e12), sk(a_1098, a_1128)))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[3135, 2653, 2337, 2326, 2324, 818, 2270, 2801, 2797, 2422, 2430, 2323, 1291, 2246, 2317, 2329, 10, 2334, 1738, 1465])).
% 0.61/0.76 tff(3137,plain,
% 0.61/0.76 ($false),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[1679, 3136, 2796])).
% 0.61/0.76 tff(3138,plain,((i19 = sk(a_1098, a_1128)) | (~(select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128)))) | (~(select(store(store(a_1090, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1090, i23, e23), sk(a_1098, a_1128)))) | (i30 = sk(a_1098, a_1128)) | (i7 = sk(a_1098, a_1128)) | (i17 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.76 tff(3139,plain,
% 0.61/0.76 (i19 = sk(a_1098, a_1128)),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[3138, 2026, 1235, 10, 1396, 770])).
% 0.61/0.76 tff(3140,plain,
% 0.61/0.76 (select(store(store(a_1085, i18, e18), i19, e19), i19) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[272, 3139])).
% 0.61/0.76 tff(3141,plain,
% 0.61/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1085, i18, e18), i19, e19), i19) = e19)),
% 0.61/0.76 inference(quant_inst,[status(thm)],[])).
% 0.61/0.76 tff(3142,plain,
% 0.61/0.76 (select(store(store(a_1085, i18, e18), i19, e19), i19) = e19),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[3141, 49])).
% 0.61/0.76 tff(3143,plain,
% 0.61/0.76 (e19 = select(store(store(a_1085, i18, e18), i19, e19), i19)),
% 0.61/0.76 inference(symmetry,[status(thm)],[3142])).
% 0.61/0.76 tff(3144,plain,
% 0.61/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1099, i1, e1), i19, e19), i19) = e19)),
% 0.61/0.76 inference(quant_inst,[status(thm)],[])).
% 0.61/0.76 tff(3145,plain,
% 0.61/0.76 (select(store(store(a_1099, i1, e1), i19, e19), i19) = e19),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[3144, 49])).
% 0.61/0.76 tff(3146,plain,
% 0.61/0.76 (sk(a_1098, a_1128) = i19),
% 0.61/0.76 inference(symmetry,[status(thm)],[3139])).
% 0.61/0.76 tff(3147,plain,
% 0.61/0.76 (select(store(store(a_1099, i1, e1), i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1099, i1, e1), i19, e19), i19)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[3146])).
% 0.61/0.77 tff(3148,plain,
% 0.61/0.77 ((i4 = i19) <=> (i4 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3149,plain,
% 0.61/0.77 ((~(i4 = i19)) <=> (~(i4 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3148])).
% 0.61/0.77 tff(3150,plain,
% 0.61/0.77 ((~(i4 = i19)) <=> (~(i4 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3151,axiom,(~(i4 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp399')).
% 0.61/0.77 tff(3152,plain,
% 0.61/0.77 (~(i4 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 0.61/0.77 tff(3153,plain,
% 0.61/0.77 (~(i4 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3152, 3149])).
% 0.61/0.77 tff(3154,plain,
% 0.61/0.77 (select(store(store(a_1100, i19, e19), i4, e4), sk(a_1098, a_1128)) = select(store(a_1100, i19, e19), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2714, 31, 3153])).
% 0.61/0.77 tff(3155,plain,
% 0.61/0.77 ((i9 = i19) <=> (i9 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3156,plain,
% 0.61/0.77 ((~(i9 = i19)) <=> (~(i9 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3155])).
% 0.61/0.77 tff(3157,plain,
% 0.61/0.77 ((~(i9 = i19)) <=> (~(i9 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3158,axiom,(~(i9 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp284')).
% 0.61/0.77 tff(3159,plain,
% 0.61/0.77 (~(i9 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3158, 3157])).
% 0.61/0.77 tff(3160,plain,
% 0.61/0.77 (~(i9 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3159, 3156])).
% 0.61/0.77 tff(3161,plain,
% 0.61/0.77 (select(store(store(a_1101, i4, e4), i9, e9), sk(a_1098, a_1128)) = select(store(a_1101, i4, e4), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2732, 3160])).
% 0.61/0.77 tff(3162,plain,
% 0.61/0.77 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = e_1130),
% 0.61/0.77 inference(transitivity,[status(thm)],[2748, 2429, 2740, 3161, 2722, 3154, 2705, 3147, 3145, 3143, 3140, 2316, 254, 2025, 235, 1723, 216, 1470, 197, 1236, 178, 1467, 159, 1464, 140, 1460, 121, 769, 102, 709, 82, 461, 74, 5])).
% 0.61/0.77 tff(3163,plain,
% 0.61/0.77 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1397])).
% 0.61/0.77 tff(3164,plain,
% 0.61/0.77 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2026])).
% 0.61/0.77 tff(3165,plain,
% 0.61/0.77 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[533, 31, 1468])).
% 0.61/0.77 tff(3166,plain,
% 0.61/0.77 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3165])).
% 0.61/0.77 tff(3167,plain,
% 0.61/0.77 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1565])).
% 0.61/0.77 tff(3168,plain,
% 0.61/0.77 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1683])).
% 0.61/0.77 tff(3169,plain,
% 0.61/0.77 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1959])).
% 0.61/0.77 tff(3170,plain,
% 0.61/0.77 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1960])).
% 0.61/0.77 tff(3171,plain,
% 0.61/0.77 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1961])).
% 0.61/0.77 tff(3172,plain,
% 0.61/0.77 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[1962])).
% 0.61/0.77 tff(3173,plain,
% 0.61/0.77 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2158])).
% 0.61/0.77 tff(3174,plain,
% 0.61/0.77 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2241])).
% 0.61/0.77 tff(3175,plain,
% 0.61/0.77 (~(i11 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2420, 2158, 1959, 2026, 1397, 1235, 36, 770])).
% 0.61/0.77 tff(3176,plain,
% 0.61/0.77 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1122, 3175])).
% 0.61/0.77 tff(3177,plain,
% 0.61/0.77 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3176])).
% 0.61/0.77 tff(3178,plain,
% 0.61/0.77 ((i6 = i19) <=> (i6 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3179,plain,
% 0.61/0.77 ((~(i6 = i19)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3178])).
% 0.61/0.77 tff(3180,plain,
% 0.61/0.77 ((~(i6 = i19)) <=> (~(i6 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3181,axiom,(~(i6 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp350')).
% 0.61/0.77 tff(3182,plain,
% 0.61/0.77 (~(i6 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 0.61/0.77 tff(3183,plain,
% 0.61/0.77 (~(i6 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3182, 3179])).
% 0.61/0.77 tff(3184,plain,
% 0.61/0.77 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1141, 3183])).
% 0.61/0.77 tff(3185,plain,
% 0.61/0.77 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3184])).
% 0.61/0.77 tff(3186,plain,
% 0.61/0.77 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1159, 31, 2023])).
% 0.61/0.77 tff(3187,plain,
% 0.61/0.77 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3186])).
% 0.61/0.77 tff(3188,plain,
% 0.61/0.77 ((i8 = i19) <=> (i8 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3189,plain,
% 0.61/0.77 ((~(i8 = i19)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3188])).
% 0.61/0.77 tff(3190,plain,
% 0.61/0.77 ((~(i8 = i19)) <=> (~(i8 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3191,axiom,(~(i8 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp305')).
% 0.61/0.77 tff(3192,plain,
% 0.61/0.77 (~(i8 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 0.61/0.77 tff(3193,plain,
% 0.61/0.77 (~(i8 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3192, 3189])).
% 0.61/0.77 tff(3194,plain,
% 0.61/0.77 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[3083, 3193])).
% 0.61/0.77 tff(3195,plain,
% 0.61/0.77 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3194])).
% 0.61/0.77 tff(3196,plain,
% 0.61/0.77 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1197, 31, 2314])).
% 0.61/0.77 tff(3197,plain,
% 0.61/0.77 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3196])).
% 0.61/0.77 tff(3198,plain,
% 0.61/0.77 ((i18 = i19) <=> (i18 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3199,plain,
% 0.61/0.77 ((~(i18 = i19)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3198])).
% 0.61/0.77 tff(3200,plain,
% 0.61/0.77 ((~(i18 = i19)) <=> (~(i18 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3201,axiom,(~(i18 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp140')).
% 0.61/0.77 tff(3202,plain,
% 0.61/0.77 (~(i18 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 0.61/0.77 tff(3203,plain,
% 0.61/0.77 (~(i18 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3202, 3199])).
% 0.61/0.77 tff(3204,plain,
% 0.61/0.77 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1215, 31, 3203])).
% 0.61/0.77 tff(3205,plain,
% 0.61/0.77 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3204])).
% 0.61/0.77 tff(3206,plain,
% 0.61/0.77 (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2533, 31, 1465])).
% 0.61/0.77 tff(3207,plain,
% 0.61/0.77 (select(store(a_1105, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3206])).
% 0.61/0.77 tff(3208,plain,
% 0.61/0.77 ((i15 = i19) <=> (i15 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3209,plain,
% 0.61/0.77 ((~(i15 = i19)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3208])).
% 0.61/0.77 tff(3210,plain,
% 0.61/0.77 ((~(i15 = i19)) <=> (~(i15 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3211,axiom,(~(i15 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp179')).
% 0.61/0.77 tff(3212,plain,
% 0.61/0.77 (~(i15 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 0.61/0.77 tff(3213,plain,
% 0.61/0.77 (~(i15 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3212, 3209])).
% 0.61/0.77 tff(3214,plain,
% 0.61/0.77 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2770, 31, 3213])).
% 0.61/0.77 tff(3215,plain,
% 0.61/0.77 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3214])).
% 0.61/0.77 tff(3216,plain,
% 0.61/0.77 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = e_1131),
% 0.61/0.77 inference(transitivity,[status(thm)],[2778, 3215, 2767, 3207, 2530, 3205, 1206, 3197, 1187, 3195, 1168, 3187, 1149, 3185, 1130, 3177, 1111, 3174, 1092, 2820, 1081, 3173, 694, 3172, 675, 3171, 656, 3170, 637, 3169, 618, 3168, 599, 3167, 580, 2805, 561, 2346, 542, 3166, 523, 3164, 504, 3163, 459, 453, 25, 14])).
% 0.61/0.77 tff(3217,plain,
% 0.61/0.77 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3216, 3162])).
% 0.61/0.77 tff(3218,plain,
% 0.61/0.77 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.61/0.77 inference(transitivity,[status(thm)],[3217, 1])).
% 0.61/0.77 tff(3219,plain,
% 0.61/0.77 ((e_1130 = e_1131) <=> (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3218])).
% 0.61/0.77 tff(3220,plain,
% 0.61/0.77 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3219])).
% 0.61/0.77 tff(3221,plain,
% 0.61/0.77 (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[432, 3220])).
% 0.61/0.77 tff(3222,plain,
% 0.61/0.77 ((i2 = i19) <=> (i2 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3139])).
% 0.61/0.77 tff(3223,plain,
% 0.61/0.77 ((~(i2 = i19)) <=> (~(i2 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3222])).
% 0.61/0.77 tff(3224,plain,
% 0.61/0.77 ((~(i2 = i19)) <=> (~(i2 = i19))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3225,axiom,(~(i2 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp452')).
% 0.61/0.77 tff(3226,plain,
% 0.61/0.77 (~(i2 = i19)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 0.61/0.77 tff(3227,plain,
% 0.61/0.77 (~(i2 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3226, 3223])).
% 0.61/0.77 tff(3228,plain,
% 0.61/0.77 ($false),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2793, 31, 3227, 3221])).
% 0.61/0.77 tff(3229,plain,((i17 = sk(a_1098, a_1128)) | (i30 = sk(a_1098, a_1128)) | (i24 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.77 tff(3230,plain,
% 0.61/0.77 (i17 = sk(a_1098, a_1128)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[3229, 460, 10])).
% 0.61/0.77 tff(3231,plain,
% 0.61/0.77 ((i7 = i17) <=> (i7 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3232,plain,
% 0.61/0.77 ((~(i7 = i17)) <=> (~(i7 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3231])).
% 0.61/0.77 tff(3233,plain,
% 0.61/0.77 ((~(i7 = i17)) <=> (~(i7 = i17))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3234,axiom,(~(i7 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp329')).
% 0.61/0.77 tff(3235,plain,
% 0.61/0.77 (~(i7 = i17)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 0.61/0.77 tff(3236,plain,
% 0.61/0.77 (~(i7 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3235, 3232])).
% 0.61/0.77 tff(3237,plain,
% 0.61/0.77 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[496, 3236])).
% 0.61/0.77 tff(3238,plain,
% 0.61/0.77 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3237])).
% 0.61/0.77 tff(3239,plain,
% 0.61/0.77 ((i17 = i23) <=> (sk(a_1098, a_1128) = i23)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3240,plain,
% 0.61/0.77 ((i17 = i23) <=> (i23 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(transitivity,[status(thm)],[3239, 198])).
% 0.61/0.77 tff(3241,plain,
% 0.61/0.77 ((~(i17 = i23)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3240])).
% 0.61/0.77 tff(3242,plain,
% 0.61/0.77 ((~(i17 = i23)) <=> (~(i17 = i23))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3243,axiom,(~(i17 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp148')).
% 0.61/0.77 tff(3244,plain,
% 0.61/0.77 (~(i17 = i23)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 0.61/0.77 tff(3245,plain,
% 0.61/0.77 (~(i23 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3244, 3241])).
% 0.61/0.77 tff(3246,plain,
% 0.61/0.77 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[533, 31, 3245])).
% 0.61/0.77 tff(3247,plain,
% 0.61/0.77 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3246])).
% 0.61/0.77 tff(3248,plain,
% 0.61/0.77 (select(store(store(a_1122, i28, e28), i17, e17), i17) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3249,plain,
% 0.61/0.77 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1122, i28, e28), i17, e17), i17) = e17)),
% 0.61/0.77 inference(quant_inst,[status(thm)],[])).
% 0.61/0.77 tff(3250,plain,
% 0.61/0.77 (select(store(store(a_1122, i28, e28), i17, e17), i17) = e17),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[3249, 49])).
% 0.61/0.77 tff(3251,plain,
% 0.61/0.77 (e17 = select(store(store(a_1122, i28, e28), i17, e17), i17)),
% 0.61/0.77 inference(symmetry,[status(thm)],[3250])).
% 0.61/0.77 tff(3252,plain,
% 0.61/0.77 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1083, i16, e16), i17, e17), i17) = e17)),
% 0.61/0.77 inference(quant_inst,[status(thm)],[])).
% 0.61/0.77 tff(3253,plain,
% 0.61/0.77 (select(store(store(a_1083, i16, e16), i17, e17), i17) = e17),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[3252, 49])).
% 0.61/0.77 tff(3254,plain,
% 0.61/0.77 (sk(a_1098, a_1128) = i17),
% 0.61/0.77 inference(symmetry,[status(thm)],[3230])).
% 0.61/0.77 tff(3255,plain,
% 0.61/0.77 (select(store(store(a_1083, i16, e16), i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1083, i16, e16), i17, e17), i17)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3254])).
% 0.61/0.77 tff(3256,plain,
% 0.61/0.77 (select(store(a_1084, i17, e17), sk(a_1098, a_1128)) = e_1131),
% 0.61/0.77 inference(transitivity,[status(thm)],[2554, 3255, 3253, 3251, 3248, 542, 3247, 523, 3164, 504, 3238, 459, 453, 25, 14])).
% 0.61/0.77 tff(3257,plain,
% 0.61/0.77 ((i17 = i27) <=> (sk(a_1098, a_1128) = i27)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3258,plain,
% 0.61/0.77 ((i17 = i27) <=> (i27 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(transitivity,[status(thm)],[3257, 122])).
% 0.61/0.77 tff(3259,plain,
% 0.61/0.77 ((~(i17 = i27)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3258])).
% 0.61/0.77 tff(3260,plain,
% 0.61/0.77 (~(i27 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[1426, 3259])).
% 0.61/0.77 tff(3261,plain,
% 0.61/0.77 (select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128)) = select(store(a_1093, i26, e26), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[798, 3260])).
% 0.61/0.77 tff(3262,plain,
% 0.61/0.77 (select(store(a_1093, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1093, i26, e26), i27, e27), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3261])).
% 0.61/0.77 tff(3263,plain,
% 0.61/0.77 ((i17 = i26) <=> (sk(a_1098, a_1128) = i26)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3264,plain,
% 0.61/0.77 ((i17 = i26) <=> (i26 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(transitivity,[status(thm)],[3263, 141])).
% 0.61/0.77 tff(3265,plain,
% 0.61/0.77 ((~(i17 = i26)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3264])).
% 0.61/0.77 tff(3266,plain,
% 0.61/0.77 ((~(i17 = i26)) <=> (~(i17 = i26))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3267,axiom,(~(i17 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp145')).
% 0.61/0.77 tff(3268,plain,
% 0.61/0.77 (~(i17 = i26)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3267, 3266])).
% 0.61/0.77 tff(3269,plain,
% 0.61/0.77 (~(i26 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3268, 3265])).
% 0.61/0.77 tff(3270,plain,
% 0.61/0.77 (select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128)) = select(store(a_1092, i25, e25), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[151, 31, 3269])).
% 0.61/0.77 tff(3271,plain,
% 0.61/0.77 (select(store(a_1092, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1092, i25, e25), i26, e26), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3270])).
% 0.61/0.77 tff(3272,plain,
% 0.61/0.77 ((i17 = i25) <=> (sk(a_1098, a_1128) = i25)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3273,plain,
% 0.61/0.77 ((i17 = i25) <=> (i25 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(transitivity,[status(thm)],[3272, 160])).
% 0.61/0.77 tff(3274,plain,
% 0.61/0.77 ((~(i17 = i25)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3273])).
% 0.61/0.77 tff(3275,plain,
% 0.61/0.77 ((~(i17 = i25)) <=> (~(i17 = i25))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3276,axiom,(~(i17 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp146')).
% 0.61/0.77 tff(3277,plain,
% 0.61/0.77 (~(i17 = i25)),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 0.61/0.77 tff(3278,plain,
% 0.61/0.77 (~(i25 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[3277, 3274])).
% 0.61/0.77 tff(3279,plain,
% 0.61/0.77 (select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128)) = select(store(a_1091, i24, e24), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1232, 3278])).
% 0.61/0.77 tff(3280,plain,
% 0.61/0.77 (select(store(a_1091, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1091, i24, e24), i25, e25), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3279])).
% 0.61/0.77 tff(3281,plain,
% 0.61/0.77 (select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128)) = select(store(a_1089, i22, e22), sk(a_1098, a_1128))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[208, 31, 3245])).
% 0.61/0.77 tff(3282,plain,
% 0.61/0.77 (select(store(a_1089, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1089, i22, e22), i23, e23), sk(a_1098, a_1128))),
% 0.61/0.77 inference(symmetry,[status(thm)],[3281])).
% 0.61/0.77 tff(3283,plain,
% 0.61/0.77 ((i17 = i22) <=> (sk(a_1098, a_1128) = i22)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.77 tff(3284,plain,
% 0.61/0.77 ((i17 = i22) <=> (i22 = sk(a_1098, a_1128))),
% 0.61/0.77 inference(transitivity,[status(thm)],[3283, 217])).
% 0.61/0.77 tff(3285,plain,
% 0.61/0.77 ((~(i17 = i22)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[3284])).
% 0.61/0.77 tff(3286,plain,
% 0.61/0.77 ((~(i17 = i22)) <=> (~(i17 = i22))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(3287,axiom,(~(i17 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp149')).
% 0.61/0.78 tff(3288,plain,
% 0.61/0.78 (~(i17 = i22)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 0.61/0.78 tff(3289,plain,
% 0.61/0.78 (~(i22 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3288, 3285])).
% 0.61/0.78 tff(3290,plain,
% 0.61/0.78 (select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128)) = select(store(a_1088, i21, e21), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[227, 31, 3289])).
% 0.61/0.78 tff(3291,plain,
% 0.61/0.78 (select(store(a_1088, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1088, i21, e21), i22, e22), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3290])).
% 0.61/0.78 tff(3292,plain,
% 0.61/0.78 ((i17 = i21) <=> (sk(a_1098, a_1128) = i21)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.78 tff(3293,plain,
% 0.61/0.78 ((i17 = i21) <=> (i21 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(transitivity,[status(thm)],[3292, 236])).
% 0.61/0.78 tff(3294,plain,
% 0.61/0.78 ((~(i17 = i21)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3293])).
% 0.61/0.78 tff(3295,plain,
% 0.61/0.78 ((~(i17 = i21)) <=> (~(i17 = i21))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3296,axiom,(~(i17 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp150')).
% 0.61/0.78 tff(3297,plain,
% 0.61/0.78 (~(i17 = i21)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 0.61/0.78 tff(3298,plain,
% 0.61/0.78 (~(i21 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3297, 3294])).
% 0.61/0.78 tff(3299,plain,
% 0.61/0.78 (select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128)) = select(store(a_1087, i20, e20), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[246, 31, 3298])).
% 0.61/0.78 tff(3300,plain,
% 0.61/0.78 (select(store(a_1087, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1087, i20, e20), i21, e21), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3299])).
% 0.61/0.78 tff(3301,plain,
% 0.61/0.78 ((i17 = i20) <=> (sk(a_1098, a_1128) = i20)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.78 tff(3302,plain,
% 0.61/0.78 ((i17 = i20) <=> (i20 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(transitivity,[status(thm)],[3301, 255])).
% 0.61/0.78 tff(3303,plain,
% 0.61/0.78 ((~(i17 = i20)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3302])).
% 0.61/0.78 tff(3304,plain,
% 0.61/0.78 ((~(i17 = i20)) <=> (~(i17 = i20))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3305,axiom,(~(i17 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp151')).
% 0.61/0.78 tff(3306,plain,
% 0.61/0.78 (~(i17 = i20)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 0.61/0.78 tff(3307,plain,
% 0.61/0.78 (~(i20 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3306, 3303])).
% 0.61/0.78 tff(3308,plain,
% 0.61/0.78 (select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128)) = select(store(a_1086, i19, e19), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[265, 31, 3307])).
% 0.61/0.78 tff(3309,plain,
% 0.61/0.78 (select(store(a_1086, i19, e19), sk(a_1098, a_1128)) = select(store(store(a_1086, i19, e19), i20, e20), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3308])).
% 0.61/0.78 tff(3310,plain,
% 0.61/0.78 ((i17 = i19) <=> (sk(a_1098, a_1128) = i19)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.78 tff(3311,plain,
% 0.61/0.78 ((i17 = i19) <=> (i19 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(transitivity,[status(thm)],[3310, 274])).
% 0.61/0.78 tff(3312,plain,
% 0.61/0.78 ((~(i17 = i19)) <=> (~(i19 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3311])).
% 0.61/0.78 tff(3313,plain,
% 0.61/0.78 ((~(i17 = i19)) <=> (~(i17 = i19))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3314,axiom,(~(i17 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp152')).
% 0.61/0.78 tff(3315,plain,
% 0.61/0.78 (~(i17 = i19)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 0.61/0.78 tff(3316,plain,
% 0.61/0.78 (~(i19 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3315, 3312])).
% 0.61/0.78 tff(3317,plain,
% 0.61/0.78 (select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128)) = select(store(a_1085, i18, e18), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[284, 31, 3316])).
% 0.61/0.78 tff(3318,plain,
% 0.61/0.78 (select(store(a_1085, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1085, i18, e18), i19, e19), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3317])).
% 0.61/0.78 tff(3319,plain,
% 0.61/0.78 (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = e_1130),
% 0.61/0.78 inference(transitivity,[status(thm)],[292, 3318, 273, 3309, 254, 3300, 235, 3291, 216, 3282, 197, 1236, 178, 3280, 159, 3271, 140, 3262, 121, 769, 102, 709, 82, 461, 74, 5])).
% 0.61/0.78 tff(3320,plain,
% 0.61/0.78 ((select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3319, 3256])).
% 0.61/0.78 tff(3321,plain,
% 0.61/0.78 ((e_1130 = e_1131) <=> (select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3320])).
% 0.61/0.78 tff(3322,plain,
% 0.61/0.78 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128))))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3321])).
% 0.61/0.78 tff(3323,plain,
% 0.61/0.78 (~(select(store(store(a_1084, i17, e17), i18, e18), sk(a_1098, a_1128)) = select(store(a_1084, i17, e17), sk(a_1098, a_1128)))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[432, 3322])).
% 0.61/0.78 tff(3324,plain,
% 0.61/0.78 ((i17 = i18) <=> (sk(a_1098, a_1128) = i18)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3230])).
% 0.61/0.78 tff(3325,plain,
% 0.61/0.78 ((i17 = i18) <=> (i18 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(transitivity,[status(thm)],[3324, 293])).
% 0.61/0.78 tff(3326,plain,
% 0.61/0.78 ((~(i17 = i18)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3325])).
% 0.61/0.78 tff(3327,plain,
% 0.61/0.78 ((~(i17 = i18)) <=> (~(i17 = i18))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3328,axiom,(~(i17 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp153')).
% 0.61/0.78 tff(3329,plain,
% 0.61/0.78 (~(i17 = i18)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3328, 3327])).
% 0.61/0.78 tff(3330,plain,
% 0.61/0.78 (~(i18 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3329, 3326])).
% 0.61/0.78 tff(3331,plain,
% 0.61/0.78 ($false),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[303, 31, 3330, 3323])).
% 0.61/0.78 tff(3332,plain,((i24 = sk(a_1098, a_1128)) | (i30 = sk(a_1098, a_1128))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.78 tff(3333,plain,
% 0.61/0.78 (i24 = sk(a_1098, a_1128)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[3332, 10])).
% 0.61/0.78 tff(3334,plain,
% 0.61/0.78 ((i7 = i24) <=> (i7 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3333])).
% 0.61/0.78 tff(3335,plain,
% 0.61/0.78 ((i7 = sk(a_1098, a_1128)) <=> (i7 = i24)),
% 0.61/0.78 inference(symmetry,[status(thm)],[3334])).
% 0.61/0.78 tff(3336,plain,
% 0.61/0.78 (~(select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128)))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[921, 3333, 452, 36])).
% 0.61/0.78 tff(3337,plain,
% 0.61/0.78 (i7 = sk(a_1098, a_1128)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[496, 3336])).
% 0.61/0.78 tff(3338,plain,
% 0.61/0.78 (i7 = i24),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3337, 3335])).
% 0.61/0.78 tff(3339,plain,
% 0.61/0.78 ((~(i7 = i24)) <=> (~(i7 = i24))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3340,axiom,(~(i7 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp322')).
% 0.61/0.78 tff(3341,plain,
% 0.61/0.78 (~(i7 = i24)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 0.61/0.78 tff(3342,plain,
% 0.61/0.78 ($false),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[3341, 3338])).
% 0.61/0.78 tff(3343,plain,(i30 = sk(a_1098, a_1128)), inference(lemma,lemma(discharge,[]))).
% 0.61/0.78 tff(3344,plain,
% 0.61/0.78 (i30 = i_1129),
% 0.61/0.78 inference(transitivity,[status(thm)],[3343, 9])).
% 0.61/0.78 tff(3345,plain,
% 0.61/0.78 (select(store(store(a_1096, i29, e29), i30, e30), i30) = select(a_1098, i_1129)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[73, 3344])).
% 0.61/0.78 tff(3346,plain,
% 0.61/0.78 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1096, i29, e29), i30, e30), i30) = e30)),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(3347,plain,
% 0.61/0.78 (select(store(store(a_1096, i29, e29), i30, e30), i30) = e30),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[3346, 49])).
% 0.61/0.78 tff(3348,plain,
% 0.61/0.78 (e30 = select(store(store(a_1096, i29, e29), i30, e30), i30)),
% 0.61/0.78 inference(symmetry,[status(thm)],[3347])).
% 0.61/0.78 tff(3349,plain,
% 0.61/0.78 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1102, i9, e9), i30, e30), i30) = e30)),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(3350,plain,
% 0.61/0.78 (select(store(store(a_1102, i9, e9), i30, e30), i30) = e30),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[3349, 49])).
% 0.61/0.78 tff(3351,plain,
% 0.61/0.78 (sk(a_1098, a_1128) = i30),
% 0.61/0.78 inference(symmetry,[status(thm)],[3343])).
% 0.61/0.78 tff(3352,plain,
% 0.61/0.78 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = select(store(store(a_1102, i9, e9), i30, e30), i30)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2747, 3351])).
% 0.61/0.78 tff(3353,plain,
% 0.61/0.78 (select(store(a_1103, i30, e30), sk(a_1098, a_1128)) = e_1130),
% 0.61/0.78 inference(transitivity,[status(thm)],[3352, 3350, 3348, 3345, 5])).
% 0.61/0.78 tff(3354,plain,
% 0.61/0.78 ((i10 = i30) <=> (i10 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3355,plain,
% 0.61/0.78 ((~(i10 = i30)) <=> (~(i10 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3354])).
% 0.61/0.78 tff(3356,plain,
% 0.61/0.78 ((~(i10 = i30)) <=> (~(i10 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3357,axiom,(~(i10 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp253')).
% 0.61/0.78 tff(3358,plain,
% 0.61/0.78 (~(i10 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 0.61/0.78 tff(3359,plain,
% 0.61/0.78 (~(i10 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3358, 3355])).
% 0.61/0.78 tff(3360,plain,
% 0.61/0.78 (select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128)) = select(store(a_1126, i7, e7), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[451, 3359])).
% 0.61/0.78 tff(3361,plain,
% 0.61/0.78 (select(store(a_1126, i7, e7), sk(a_1098, a_1128)) = select(store(store(a_1126, i7, e7), i10, e10), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3360])).
% 0.61/0.78 tff(3362,plain,
% 0.61/0.78 ((i7 = i30) <=> (i7 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3363,plain,
% 0.61/0.78 ((~(i7 = i30)) <=> (~(i7 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3362])).
% 0.61/0.78 tff(3364,plain,
% 0.61/0.78 ((~(i7 = i30)) <=> (~(i7 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3365,axiom,(~(i7 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp316')).
% 0.61/0.78 tff(3366,plain,
% 0.61/0.78 (~(i7 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 0.61/0.78 tff(3367,plain,
% 0.61/0.78 (~(i7 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3366, 3363])).
% 0.61/0.78 tff(3368,plain,
% 0.61/0.78 (select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128)) = select(store(a_1125, i24, e24), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[495, 31, 3367])).
% 0.61/0.78 tff(3369,plain,
% 0.61/0.78 (select(store(a_1125, i24, e24), sk(a_1098, a_1128)) = select(store(store(a_1125, i24, e24), i7, e7), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3368])).
% 0.61/0.78 tff(3370,plain,
% 0.61/0.78 ((i24 = i30) <=> (i24 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3371,plain,
% 0.61/0.78 ((~(i24 = i30)) <=> (~(i24 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3370])).
% 0.61/0.78 tff(3372,plain,
% 0.61/0.78 ((~(i24 = i30)) <=> (~(i24 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3373,axiom,(~(i24 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp78')).
% 0.61/0.78 tff(3374,plain,
% 0.61/0.78 (~(i24 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 0.61/0.78 tff(3375,plain,
% 0.61/0.78 (~(i24 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3374, 3371])).
% 0.61/0.78 tff(3376,plain,
% 0.61/0.78 (select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128)) = select(store(a_1124, i23, e23), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[514, 31, 3375])).
% 0.61/0.78 tff(3377,plain,
% 0.61/0.78 (select(store(a_1124, i23, e23), sk(a_1098, a_1128)) = select(store(store(a_1124, i23, e23), i24, e24), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3376])).
% 0.61/0.78 tff(3378,plain,
% 0.61/0.78 ((i23 = i30) <=> (i23 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3379,plain,
% 0.61/0.78 ((~(i23 = i30)) <=> (~(i23 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3378])).
% 0.61/0.78 tff(3380,plain,
% 0.61/0.78 ((~(i23 = i30)) <=> (~(i23 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3381,axiom,(~(i23 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp84')).
% 0.61/0.78 tff(3382,plain,
% 0.61/0.78 (~(i23 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 0.61/0.78 tff(3383,plain,
% 0.61/0.78 (~(i23 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3382, 3379])).
% 0.61/0.78 tff(3384,plain,
% 0.61/0.78 (select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128)) = select(store(a_1123, i17, e17), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[533, 31, 3383])).
% 0.61/0.78 tff(3385,plain,
% 0.61/0.78 (select(store(a_1123, i17, e17), sk(a_1098, a_1128)) = select(store(store(a_1123, i17, e17), i23, e23), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3384])).
% 0.61/0.78 tff(3386,plain,
% 0.61/0.78 ((i17 = i30) <=> (i17 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3387,plain,
% 0.61/0.78 ((~(i17 = i30)) <=> (~(i17 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3386])).
% 0.61/0.78 tff(3388,plain,
% 0.61/0.78 ((~(i17 = i30)) <=> (~(i17 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3389,axiom,(~(i17 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp141')).
% 0.61/0.78 tff(3390,plain,
% 0.61/0.78 (~(i17 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 0.61/0.78 tff(3391,plain,
% 0.61/0.78 (~(i17 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3390, 3387])).
% 0.61/0.78 tff(3392,plain,
% 0.61/0.78 (select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128)) = select(store(a_1122, i28, e28), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[552, 31, 3391])).
% 0.61/0.78 tff(3393,plain,
% 0.61/0.78 (select(store(a_1122, i28, e28), sk(a_1098, a_1128)) = select(store(store(a_1122, i28, e28), i17, e17), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3392])).
% 0.61/0.78 tff(3394,plain,
% 0.61/0.78 ((i28 = i30) <=> (i28 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3395,plain,
% 0.61/0.78 ((~(i28 = i30)) <=> (~(i28 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3394])).
% 0.61/0.78 tff(3396,plain,
% 0.61/0.78 ((~(i28 = i30)) <=> (~(i28 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3397,axiom,(~(i28 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp64')).
% 0.61/0.78 tff(3398,plain,
% 0.61/0.78 (~(i28 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 0.61/0.78 tff(3399,plain,
% 0.61/0.78 (~(i28 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3398, 3395])).
% 0.61/0.78 tff(3400,plain,
% 0.61/0.78 (select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128)) = select(store(a_1121, i16, e16), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[571, 31, 3399])).
% 0.61/0.78 tff(3401,plain,
% 0.61/0.78 (select(store(a_1121, i16, e16), sk(a_1098, a_1128)) = select(store(store(a_1121, i16, e16), i28, e28), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3400])).
% 0.61/0.78 tff(3402,plain,
% 0.61/0.78 ((i16 = i30) <=> (i16 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3403,plain,
% 0.61/0.78 ((~(i16 = i30)) <=> (~(i16 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3402])).
% 0.61/0.78 tff(3404,plain,
% 0.61/0.78 ((~(i16 = i30)) <=> (~(i16 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3405,axiom,(~(i16 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp154')).
% 0.61/0.78 tff(3406,plain,
% 0.61/0.78 (~(i16 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 0.61/0.78 tff(3407,plain,
% 0.61/0.78 (~(i16 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3406, 3403])).
% 0.61/0.78 tff(3408,plain,
% 0.61/0.78 (select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128)) = select(store(a_1120, i12, e12), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[590, 31, 3407])).
% 0.61/0.78 tff(3409,plain,
% 0.61/0.78 (select(store(a_1120, i12, e12), sk(a_1098, a_1128)) = select(store(store(a_1120, i12, e12), i16, e16), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3408])).
% 0.61/0.78 tff(3410,plain,
% 0.61/0.78 ((i12 = i30) <=> (i12 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3411,plain,
% 0.61/0.78 ((~(i12 = i30)) <=> (~(i12 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3410])).
% 0.61/0.78 tff(3412,plain,
% 0.61/0.78 ((~(i12 = i30)) <=> (~(i12 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3413,axiom,(~(i12 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp216')).
% 0.61/0.78 tff(3414,plain,
% 0.61/0.78 (~(i12 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 0.61/0.78 tff(3415,plain,
% 0.61/0.78 (~(i12 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3414, 3411])).
% 0.61/0.78 tff(3416,plain,
% 0.61/0.78 (select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128)) = select(store(a_1119, i3, e3), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[609, 31, 3415])).
% 0.61/0.78 tff(3417,plain,
% 0.61/0.78 (select(store(a_1119, i3, e3), sk(a_1098, a_1128)) = select(store(store(a_1119, i3, e3), i12, e12), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3416])).
% 0.61/0.78 tff(3418,plain,
% 0.61/0.78 ((i3 = i30) <=> (i3 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3419,plain,
% 0.61/0.78 ((~(i3 = i30)) <=> (~(i3 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3418])).
% 0.61/0.78 tff(3420,plain,
% 0.61/0.78 ((~(i3 = i30)) <=> (~(i3 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3421,axiom,(~(i3 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp414')).
% 0.61/0.78 tff(3422,plain,
% 0.61/0.78 (~(i3 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 0.61/0.78 tff(3423,plain,
% 0.61/0.78 (~(i3 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3422, 3419])).
% 0.61/0.78 tff(3424,plain,
% 0.61/0.78 (select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128)) = select(store(a_1118, i27, e27), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[628, 31, 3423])).
% 0.61/0.78 tff(3425,plain,
% 0.61/0.78 (select(store(a_1118, i27, e27), sk(a_1098, a_1128)) = select(store(store(a_1118, i27, e27), i3, e3), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3424])).
% 0.61/0.78 tff(3426,plain,
% 0.61/0.78 ((i27 = i30) <=> (i27 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3427,plain,
% 0.61/0.78 ((~(i27 = i30)) <=> (~(i27 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3426])).
% 0.61/0.78 tff(3428,plain,
% 0.61/0.78 ((~(i27 = i30)) <=> (~(i27 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3429,axiom,(~(i27 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp66')).
% 0.61/0.78 tff(3430,plain,
% 0.61/0.78 (~(i27 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 0.61/0.78 tff(3431,plain,
% 0.61/0.78 (~(i27 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3430, 3427])).
% 0.61/0.78 tff(3432,plain,
% 0.61/0.78 (select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128)) = select(store(a_1117, i22, e22), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[647, 31, 3431])).
% 0.61/0.78 tff(3433,plain,
% 0.61/0.78 (select(store(a_1117, i22, e22), sk(a_1098, a_1128)) = select(store(store(a_1117, i22, e22), i27, e27), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3432])).
% 0.61/0.78 tff(3434,plain,
% 0.61/0.78 ((i22 = i30) <=> (i22 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.78 tff(3435,plain,
% 0.61/0.78 ((~(i22 = i30)) <=> (~(i22 = sk(a_1098, a_1128)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3434])).
% 0.61/0.78 tff(3436,plain,
% 0.61/0.78 ((~(i22 = i30)) <=> (~(i22 = i30))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(3437,axiom,(~(i22 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp91')).
% 0.61/0.78 tff(3438,plain,
% 0.61/0.78 (~(i22 = i30)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 0.61/0.78 tff(3439,plain,
% 0.61/0.78 (~(i22 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[3438, 3435])).
% 0.61/0.78 tff(3440,plain,
% 0.61/0.78 (select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128)) = select(store(a_1116, i26, e26), sk(a_1098, a_1128))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[666, 31, 3439])).
% 0.61/0.78 tff(3441,plain,
% 0.61/0.78 (select(store(a_1116, i26, e26), sk(a_1098, a_1128)) = select(store(store(a_1116, i26, e26), i22, e22), sk(a_1098, a_1128))),
% 0.61/0.78 inference(symmetry,[status(thm)],[3440])).
% 0.61/0.78 tff(3442,plain,
% 0.61/0.78 ((i26 = i30) <=> (i26 = sk(a_1098, a_1128))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3443,plain,
% 0.61/0.79 ((~(i26 = i30)) <=> (~(i26 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3442])).
% 0.61/0.79 tff(3444,plain,
% 0.61/0.79 ((~(i26 = i30)) <=> (~(i26 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3445,axiom,(~(i26 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp69')).
% 0.61/0.79 tff(3446,plain,
% 0.61/0.79 (~(i26 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 0.61/0.79 tff(3447,plain,
% 0.61/0.79 (~(i26 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3446, 3443])).
% 0.61/0.79 tff(3448,plain,
% 0.61/0.79 (select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128)) = select(store(a_1115, i5, e5), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[685, 31, 3447])).
% 0.61/0.79 tff(3449,plain,
% 0.61/0.79 (select(store(a_1115, i5, e5), sk(a_1098, a_1128)) = select(store(store(a_1115, i5, e5), i26, e26), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3448])).
% 0.61/0.79 tff(3450,plain,
% 0.61/0.79 ((i5 = i30) <=> (i5 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3451,plain,
% 0.61/0.79 ((~(i5 = i30)) <=> (~(i5 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3450])).
% 0.61/0.79 tff(3452,plain,
% 0.61/0.79 ((~(i5 = i30)) <=> (~(i5 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3453,axiom,(~(i5 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp363')).
% 0.61/0.79 tff(3454,plain,
% 0.61/0.79 (~(i5 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 0.61/0.79 tff(3455,plain,
% 0.61/0.79 (~(i5 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3454, 3451])).
% 0.61/0.79 tff(3456,plain,
% 0.61/0.79 (select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128)) = select(store(a_1114, i29, e29), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[703, 31, 3455])).
% 0.61/0.79 tff(3457,plain,
% 0.61/0.79 (select(store(a_1114, i29, e29), sk(a_1098, a_1128)) = select(store(store(a_1114, i29, e29), i5, e5), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3456])).
% 0.61/0.79 tff(3458,plain,
% 0.61/0.79 ((i29 = i30) <=> (i29 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3459,plain,
% 0.61/0.79 ((~(i29 = i30)) <=> (~(i29 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3458])).
% 0.61/0.79 tff(3460,plain,
% 0.61/0.79 ((~(i29 = i30)) <=> (~(i29 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3461,axiom,(~(i29 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp63')).
% 0.61/0.79 tff(3462,plain,
% 0.61/0.79 (~(i29 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 0.61/0.79 tff(3463,plain,
% 0.61/0.79 (~(i29 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3462, 3459])).
% 0.61/0.79 tff(3464,plain,
% 0.61/0.79 (select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128)) = select(store(a_1113, i14, e14), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1084, 31, 3463])).
% 0.61/0.79 tff(3465,plain,
% 0.61/0.79 (select(store(a_1113, i14, e14), sk(a_1098, a_1128)) = select(store(store(a_1113, i14, e14), i29, e29), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3464])).
% 0.61/0.79 tff(3466,plain,
% 0.61/0.79 ((i14 = i30) <=> (i14 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3467,plain,
% 0.61/0.79 ((~(i14 = i30)) <=> (~(i14 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3466])).
% 0.61/0.79 tff(3468,plain,
% 0.61/0.79 ((~(i14 = i30)) <=> (~(i14 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3469,axiom,(~(i14 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp183')).
% 0.61/0.79 tff(3470,plain,
% 0.61/0.79 (~(i14 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 0.61/0.79 tff(3471,plain,
% 0.61/0.79 (~(i14 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3470, 3467])).
% 0.61/0.79 tff(3472,plain,
% 0.61/0.79 (select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128)) = select(store(a_1112, i11, e11), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1102, 31, 3471])).
% 0.61/0.79 tff(3473,plain,
% 0.61/0.79 (select(store(a_1112, i11, e11), sk(a_1098, a_1128)) = select(store(store(a_1112, i11, e11), i14, e14), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3472])).
% 0.61/0.79 tff(3474,plain,
% 0.61/0.79 ((i11 = i30) <=> (i11 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3475,plain,
% 0.61/0.79 ((~(i11 = i30)) <=> (~(i11 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3474])).
% 0.61/0.79 tff(3476,plain,
% 0.61/0.79 ((~(i11 = i30)) <=> (~(i11 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3477,axiom,(~(i11 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp234')).
% 0.61/0.79 tff(3478,plain,
% 0.61/0.79 (~(i11 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 0.61/0.79 tff(3479,plain,
% 0.61/0.79 (~(i11 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3478, 3475])).
% 0.61/0.79 tff(3480,plain,
% 0.61/0.79 (select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128)) = select(store(a_1111, i6, e6), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1121, 31, 3479])).
% 0.61/0.79 tff(3481,plain,
% 0.61/0.79 (select(store(a_1111, i6, e6), sk(a_1098, a_1128)) = select(store(store(a_1111, i6, e6), i11, e11), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3480])).
% 0.61/0.79 tff(3482,plain,
% 0.61/0.79 ((i6 = i30) <=> (i6 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3483,plain,
% 0.61/0.79 ((~(i6 = i30)) <=> (~(i6 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3482])).
% 0.61/0.79 tff(3484,plain,
% 0.61/0.79 ((~(i6 = i30)) <=> (~(i6 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3485,axiom,(~(i6 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp339')).
% 0.61/0.79 tff(3486,plain,
% 0.61/0.79 (~(i6 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3485, 3484])).
% 0.61/0.79 tff(3487,plain,
% 0.61/0.79 (~(i6 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3486, 3483])).
% 0.61/0.79 tff(3488,plain,
% 0.61/0.79 (select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128)) = select(store(a_1110, i21, e21), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1140, 31, 3487])).
% 0.61/0.79 tff(3489,plain,
% 0.61/0.79 (select(store(a_1110, i21, e21), sk(a_1098, a_1128)) = select(store(store(a_1110, i21, e21), i6, e6), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3488])).
% 0.61/0.79 tff(3490,plain,
% 0.61/0.79 ((i21 = i30) <=> (i21 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3491,plain,
% 0.61/0.79 ((~(i21 = i30)) <=> (~(i21 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3490])).
% 0.61/0.79 tff(3492,plain,
% 0.61/0.79 ((~(i21 = i30)) <=> (~(i21 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3493,axiom,(~(i21 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp99')).
% 0.61/0.79 tff(3494,plain,
% 0.61/0.79 (~(i21 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 0.61/0.79 tff(3495,plain,
% 0.61/0.79 (~(i21 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3494, 3491])).
% 0.61/0.79 tff(3496,plain,
% 0.61/0.79 (select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128)) = select(store(a_1109, i8, e8), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1159, 31, 3495])).
% 0.61/0.79 tff(3497,plain,
% 0.61/0.79 (select(store(a_1109, i8, e8), sk(a_1098, a_1128)) = select(store(store(a_1109, i8, e8), i21, e21), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3496])).
% 0.61/0.79 tff(3498,plain,
% 0.61/0.79 ((i8 = i30) <=> (i8 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3499,plain,
% 0.61/0.79 ((~(i8 = i30)) <=> (~(i8 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3498])).
% 0.61/0.79 tff(3500,plain,
% 0.61/0.79 ((~(i8 = i30)) <=> (~(i8 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3501,axiom,(~(i8 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp294')).
% 0.61/0.79 tff(3502,plain,
% 0.61/0.79 (~(i8 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 0.61/0.79 tff(3503,plain,
% 0.61/0.79 (~(i8 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3502, 3499])).
% 0.61/0.79 tff(3504,plain,
% 0.61/0.79 (select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128)) = select(store(a_1108, i20, e20), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[3083, 3503])).
% 0.61/0.79 tff(3505,plain,
% 0.61/0.79 (select(store(a_1108, i20, e20), sk(a_1098, a_1128)) = select(store(store(a_1108, i20, e20), i8, e8), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3504])).
% 0.61/0.79 tff(3506,plain,
% 0.61/0.79 ((i20 = i30) <=> (i20 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3507,plain,
% 0.61/0.79 ((~(i20 = i30)) <=> (~(i20 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3506])).
% 0.61/0.79 tff(3508,plain,
% 0.61/0.79 ((~(i20 = i30)) <=> (~(i20 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3509,axiom,(~(i20 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp108')).
% 0.61/0.79 tff(3510,plain,
% 0.61/0.79 (~(i20 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 0.61/0.79 tff(3511,plain,
% 0.61/0.79 (~(i20 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3510, 3507])).
% 0.61/0.79 tff(3512,plain,
% 0.61/0.79 (select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128)) = select(store(a_1107, i18, e18), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1197, 31, 3511])).
% 0.61/0.79 tff(3513,plain,
% 0.61/0.79 (select(store(a_1107, i18, e18), sk(a_1098, a_1128)) = select(store(store(a_1107, i18, e18), i20, e20), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3512])).
% 0.61/0.79 tff(3514,plain,
% 0.61/0.79 ((i18 = i30) <=> (i18 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3515,plain,
% 0.61/0.79 ((~(i18 = i30)) <=> (~(i18 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3514])).
% 0.61/0.79 tff(3516,plain,
% 0.61/0.79 ((~(i18 = i30)) <=> (~(i18 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3517,axiom,(~(i18 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp129')).
% 0.61/0.79 tff(3518,plain,
% 0.61/0.79 (~(i18 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 0.61/0.79 tff(3519,plain,
% 0.61/0.79 (~(i18 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3518, 3515])).
% 0.61/0.79 tff(3520,plain,
% 0.61/0.79 (select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128)) = select(store(a_1106, i25, e25), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1215, 31, 3519])).
% 0.61/0.79 tff(3521,plain,
% 0.61/0.79 (select(store(a_1106, i25, e25), sk(a_1098, a_1128)) = select(store(store(a_1106, i25, e25), i18, e18), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3520])).
% 0.61/0.79 tff(3522,plain,
% 0.61/0.79 ((i25 = i30) <=> (i25 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3523,plain,
% 0.61/0.79 ((~(i25 = i30)) <=> (~(i25 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3522])).
% 0.61/0.79 tff(3524,plain,
% 0.61/0.79 ((~(i25 = i30)) <=> (~(i25 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3525,axiom,(~(i25 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp73')).
% 0.61/0.79 tff(3526,plain,
% 0.61/0.79 (~(i25 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3525, 3524])).
% 0.61/0.79 tff(3527,plain,
% 0.61/0.79 (~(i25 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3526, 3523])).
% 0.61/0.79 tff(3528,plain,
% 0.61/0.79 (select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128)) = select(store(a_1105, i15, e15), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2533, 31, 3527])).
% 0.61/0.79 tff(3529,plain,
% 0.61/0.79 (select(store(a_1105, i15, e15), sk(a_1098, a_1128)) = select(store(store(a_1105, i15, e15), i25, e25), sk(a_1098, a_1128))),
% 0.61/0.79 inference(symmetry,[status(thm)],[3528])).
% 0.61/0.79 tff(3530,plain,
% 0.61/0.79 ((i15 = i30) <=> (i15 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.79 tff(3531,plain,
% 0.61/0.79 ((~(i15 = i30)) <=> (~(i15 = sk(a_1098, a_1128)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[3530])).
% 0.61/0.79 tff(3532,plain,
% 0.61/0.79 ((~(i15 = i30)) <=> (~(i15 = i30))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(3533,axiom,(~(i15 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp168')).
% 0.61/0.79 tff(3534,plain,
% 0.61/0.79 (~(i15 = i30)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 0.61/0.79 tff(3535,plain,
% 0.61/0.79 (~(i15 = sk(a_1098, a_1128))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[3534, 3531])).
% 0.61/0.79 tff(3536,plain,
% 0.61/0.79 (select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128)) = select(store(a_1104, i2, e2), sk(a_1098, a_1128))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2770, 31, 3535])).
% 0.61/0.79 tff(3537,plain,
% 0.61/0.79 (select(store(a_1104, i2, e2), sk(a_1098, a_1128)) = select(store(store(a_1104, i2, e2), i15, e15), sk(a_1098, a_1128))),
% 0.61/0.80 inference(symmetry,[status(thm)],[3536])).
% 0.61/0.80 tff(3538,plain,
% 0.61/0.80 (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = e_1131),
% 0.61/0.80 inference(transitivity,[status(thm)],[2778, 3537, 2767, 3529, 2530, 3521, 1206, 3513, 1187, 3505, 1168, 3497, 1149, 3489, 1130, 3481, 1111, 3473, 1092, 3465, 1081, 3457, 694, 3449, 675, 3441, 656, 3433, 637, 3425, 618, 3417, 599, 3409, 580, 3401, 561, 3393, 542, 3385, 523, 3377, 504, 3369, 459, 3361, 25, 14])).
% 0.61/0.80 tff(3539,plain,
% 0.61/0.80 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1131 = e_1130)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[3538, 3353])).
% 0.61/0.80 tff(3540,plain,
% 0.61/0.80 ((select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))) <=> (e_1130 = e_1131)),
% 0.61/0.80 inference(transitivity,[status(thm)],[3539, 1])).
% 0.61/0.80 tff(3541,plain,
% 0.61/0.80 ((e_1130 = e_1131) <=> (select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.61/0.80 inference(symmetry,[status(thm)],[3540])).
% 0.61/0.80 tff(3542,plain,
% 0.61/0.80 ((~(e_1130 = e_1131)) <=> (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128))))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[3541])).
% 0.61/0.80 tff(3543,plain,
% 0.61/0.80 (~(select(store(store(a_1103, i30, e30), i2, e2), sk(a_1098, a_1128)) = select(store(a_1103, i30, e30), sk(a_1098, a_1128)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[432, 3542])).
% 0.61/0.80 tff(3544,plain,
% 0.61/0.80 ((i2 = i30) <=> (i2 = sk(a_1098, a_1128))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[3343])).
% 0.61/0.80 tff(3545,plain,
% 0.61/0.80 ((~(i2 = i30)) <=> (~(i2 = sk(a_1098, a_1128)))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[3544])).
% 0.61/0.80 tff(3546,plain,
% 0.61/0.80 ((~(i2 = i30)) <=> (~(i2 = i30))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(3547,axiom,(~(i2 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp441')).
% 0.61/0.80 tff(3548,plain,
% 0.61/0.80 (~(i2 = i30)),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 0.61/0.80 tff(3549,plain,
% 0.61/0.80 (~(i2 = sk(a_1098, a_1128))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[3548, 3545])).
% 0.61/0.80 tff(3550,plain,
% 0.61/0.80 ($false),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2793, 31, 3549, 3543])).
% 0.61/0.80 % SZS output end Proof
% 0.61/0.80 % E exiting
%------------------------------------------------------------------------------