%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV540-1.007 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:34:28 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV540-1.007 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 10:13:54 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.42 % SZS status Unsatisfiable
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 tff(store_type, type, (
% 0.20/0.42 store: ( $i * $i * $i ) > $i)).
% 0.20/0.42 tff(select_type, type, (
% 0.20/0.42 select: ( $i * $i ) > $i)).
% 0.20/0.42 tff(i2_type, type, (
% 0.20/0.42 i2: $i)).
% 0.20/0.42 tff(a_785_type, type, (
% 0.20/0.42 a_785: $i)).
% 0.20/0.42 tff(i1_type, type, (
% 0.20/0.42 i1: $i)).
% 0.20/0.42 tff(e_784_type, type, (
% 0.20/0.42 e_784: $i)).
% 0.20/0.42 tff(i3_type, type, (
% 0.20/0.42 i3: $i)).
% 0.20/0.42 tff(a_783_type, type, (
% 0.20/0.42 a_783: $i)).
% 0.20/0.42 tff(e_788_type, type, (
% 0.20/0.42 e_788: $i)).
% 0.20/0.42 tff(a_787_type, type, (
% 0.20/0.42 a_787: $i)).
% 0.20/0.42 tff(e_786_type, type, (
% 0.20/0.42 e_786: $i)).
% 0.20/0.42 tff(a_829_type, type, (
% 0.20/0.42 a_829: $i)).
% 0.20/0.42 tff(a_808_type, type, (
% 0.20/0.42 a_808: $i)).
% 0.20/0.42 tff(e_828_type, type, (
% 0.20/0.42 e_828: $i)).
% 0.20/0.42 tff(a_827_type, type, (
% 0.20/0.42 a_827: $i)).
% 0.20/0.42 tff(e_807_type, type, (
% 0.20/0.42 e_807: $i)).
% 0.20/0.42 tff(a_806_type, type, (
% 0.20/0.42 a_806: $i)).
% 0.20/0.42 tff(i5_type, type, (
% 0.20/0.42 i5: $i)).
% 0.20/0.42 tff(a_804_type, type, (
% 0.20/0.42 a_804: $i)).
% 0.20/0.42 tff(a_825_type, type, (
% 0.20/0.42 a_825: $i)).
% 0.20/0.42 tff(e_803_type, type, (
% 0.20/0.42 e_803: $i)).
% 0.20/0.42 tff(a_802_type, type, (
% 0.20/0.42 a_802: $i)).
% 0.20/0.42 tff(e_824_type, type, (
% 0.20/0.42 e_824: $i)).
% 0.20/0.42 tff(a_823_type, type, (
% 0.20/0.42 a_823: $i)).
% 0.20/0.42 tff(a_800_type, type, (
% 0.20/0.42 a_800: $i)).
% 0.20/0.42 tff(a_821_type, type, (
% 0.20/0.42 a_821: $i)).
% 0.20/0.42 tff(e_798_type, type, (
% 0.20/0.42 e_798: $i)).
% 0.20/0.42 tff(a_799_type, type, (
% 0.20/0.42 a_799: $i)).
% 0.20/0.42 tff(a_797_type, type, (
% 0.20/0.42 a_797: $i)).
% 0.20/0.42 tff(e_796_type, type, (
% 0.20/0.42 e_796: $i)).
% 0.20/0.42 tff(a_795_type, type, (
% 0.20/0.42 a_795: $i)).
% 0.20/0.42 tff(a_793_type, type, (
% 0.20/0.42 a_793: $i)).
% 0.20/0.42 tff(e_792_type, type, (
% 0.20/0.42 e_792: $i)).
% 0.20/0.42 tff(a_791_type, type, (
% 0.20/0.42 a_791: $i)).
% 0.20/0.42 tff(e_794_type, type, (
% 0.20/0.42 e_794: $i)).
% 0.20/0.42 tff(a_814_type, type, (
% 0.20/0.42 a_814: $i)).
% 0.20/0.42 tff(e_813_type, type, (
% 0.20/0.42 e_813: $i)).
% 0.20/0.42 tff(i0_type, type, (
% 0.20/0.42 i0: $i)).
% 0.20/0.42 tff(a_812_type, type, (
% 0.20/0.42 a_812: $i)).
% 0.20/0.42 tff(e_817_type, type, (
% 0.20/0.42 e_817: $i)).
% 0.20/0.42 tff(a_816_type, type, (
% 0.20/0.42 a_816: $i)).
% 0.20/0.42 tff(e_815_type, type, (
% 0.20/0.42 e_815: $i)).
% 0.20/0.42 tff(e_819_type, type, (
% 0.20/0.42 e_819: $i)).
% 0.20/0.42 tff(a_818_type, type, (
% 0.20/0.42 a_818: $i)).
% 0.20/0.42 tff(a_820_type, type, (
% 0.20/0.42 a_820: $i)).
% 0.20/0.42 tff(e_822_type, type, (
% 0.20/0.42 e_822: $i)).
% 0.20/0.42 tff(e_826_type, type, (
% 0.20/0.42 e_826: $i)).
% 0.20/0.42 tff(a_810_type, type, (
% 0.20/0.42 a_810: $i)).
% 0.20/0.42 tff(a_809_type, type, (
% 0.20/0.42 a_809: $i)).
% 0.20/0.42 tff(a_789_type, type, (
% 0.20/0.42 a_789: $i)).
% 0.20/0.42 tff(e_790_type, type, (
% 0.20/0.42 e_790: $i)).
% 0.20/0.42 tff(e_811_type, type, (
% 0.20/0.42 e_811: $i)).
% 0.20/0.42 tff(e_801_type, type, (
% 0.20/0.42 e_801: $i)).
% 0.20/0.42 tff(e_805_type, type, (
% 0.20/0.42 e_805: $i)).
% 0.20/0.42 tff(1,plain,
% 0.20/0.42 ((e_788 = select(a_785, i2)) <=> (e_788 = select(a_785, i2))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(2,axiom,(e_788 = select(a_785, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp29')).
% 0.20/0.42 tff(3,plain,
% 0.20/0.42 (e_788 = select(a_785, i2)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.42 tff(4,plain,
% 0.20/0.42 (select(a_785, i2) = e_788),
% 0.20/0.42 inference(symmetry,[status(thm)],[3])).
% 0.20/0.42 tff(5,plain,
% 0.20/0.42 ((a_787 = store(a_785, i2, e_786)) <=> (a_787 = store(a_785, i2, e_786))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(6,axiom,(a_787 = store(a_785, i2, e_786)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp2')).
% 0.20/0.42 tff(7,plain,
% 0.20/0.42 (a_787 = store(a_785, i2, e_786)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.42 tff(8,plain,
% 0.20/0.42 (store(a_785, i2, e_786) = a_787),
% 0.20/0.42 inference(symmetry,[status(thm)],[7])).
% 0.20/0.42 tff(9,plain,
% 0.20/0.42 ((e_786 = select(a_785, i1)) <=> (e_786 = select(a_785, i1))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(10,axiom,(e_786 = select(a_785, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp28')).
% 0.20/0.42 tff(11,plain,
% 0.20/0.42 (e_786 = select(a_785, i1)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.42 tff(12,plain,
% 0.20/0.42 (select(a_785, i1) = e_786),
% 0.20/0.42 inference(symmetry,[status(thm)],[11])).
% 0.20/0.42 tff(13,plain,
% 0.20/0.42 ((a_785 = store(a_783, i3, e_784)) <=> (a_785 = store(a_783, i3, e_784))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(14,axiom,(a_785 = store(a_783, i3, e_784)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp1')).
% 0.20/0.42 tff(15,plain,
% 0.20/0.42 (a_785 = store(a_783, i3, e_784)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.42 tff(16,plain,
% 0.20/0.42 (store(a_783, i3, e_784) = a_785),
% 0.20/0.42 inference(symmetry,[status(thm)],[15])).
% 0.20/0.42 tff(17,plain,
% 0.20/0.42 (store(store(a_783, i3, e_784), i2, select(a_785, i1)) = store(a_785, i2, e_786)),
% 0.20/0.42 inference(monotonicity,[status(thm)],[16, 12])).
% 0.20/0.42 tff(18,plain,
% 0.20/0.42 (store(store(a_783, i3, e_784), i2, select(a_785, i1)) = a_787),
% 0.20/0.42 inference(transitivity,[status(thm)],[17, 8])).
% 0.20/0.42 tff(19,plain,
% 0.20/0.42 (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(a_787, i1, e_788)),
% 0.20/0.42 inference(monotonicity,[status(thm)],[18, 4])).
% 0.20/0.42 tff(20,plain,
% 0.20/0.42 (store(a_787, i1, e_788) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))),
% 0.20/0.42 inference(symmetry,[status(thm)],[19])).
% 0.20/0.42 tff(21,plain,
% 0.20/0.42 (store(a_785, i2, e_786) = store(store(a_783, i3, e_784), i2, select(a_785, i1))),
% 0.20/0.42 inference(symmetry,[status(thm)],[17])).
% 0.20/0.42 tff(22,plain,
% 0.20/0.42 (select(store(a_785, i2, e_786), i2) = select(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i2)),
% 0.20/0.42 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.42 tff(23,plain,
% 0.20/0.42 (select(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i2) = select(store(a_785, i2, e_786), i2)),
% 0.20/0.42 inference(symmetry,[status(thm)],[22])).
% 0.20/0.42 tff(24,plain,
% 0.20/0.42 (![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)),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(25,plain,
% 0.20/0.42 (![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)),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(26,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a1')).
% 0.20/0.42 tff(27,plain,
% 0.20/0.42 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.20/0.42 tff(28,plain,(
% 0.20/0.42 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.42 inference(skolemize,[status(sab)],[27])).
% 0.20/0.42 tff(29,plain,
% 0.20/0.42 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.20/0.42 tff(30,plain,
% 0.20/0.42 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i2) = select(a_785, i1))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(31,plain,
% 0.20/0.42 (select(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i2) = select(a_785, i1)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.20/0.42 tff(32,plain,
% 0.20/0.42 (select(a_785, i1) = select(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i2)),
% 0.20/0.42 inference(symmetry,[status(thm)],[31])).
% 0.20/0.42 tff(33,plain,
% 0.20/0.42 ((a_829 = store(a_827, i2, e_828)) <=> (a_829 = store(a_827, i2, e_828))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(34,axiom,(a_829 = store(a_827, i2, e_828)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp25')).
% 0.20/0.42 tff(35,plain,
% 0.20/0.42 (a_829 = store(a_827, i2, e_828)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.42 tff(36,plain,
% 0.20/0.42 (store(a_827, i2, e_828) = a_829),
% 0.20/0.42 inference(symmetry,[status(thm)],[35])).
% 0.20/0.42 tff(37,plain,
% 0.20/0.42 ((e_807 = select(a_804, i5)) <=> (e_807 = select(a_804, i5))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(38,axiom,(e_807 = select(a_804, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp38')).
% 0.20/0.42 tff(39,plain,
% 0.20/0.42 (e_807 = select(a_804, i5)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.42 tff(40,plain,
% 0.20/0.42 (select(a_804, i5) = e_807),
% 0.20/0.42 inference(symmetry,[status(thm)],[39])).
% 0.20/0.42 tff(41,plain,
% 0.20/0.42 ((a_804 = store(a_802, i2, e_803)) <=> (a_804 = store(a_802, i2, e_803))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(42,axiom,(a_804 = store(a_802, i2, e_803)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp11')).
% 0.20/0.42 tff(43,plain,
% 0.20/0.42 (a_804 = store(a_802, i2, e_803)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.20/0.42 tff(44,plain,
% 0.20/0.42 (store(a_802, i2, e_803) = a_804),
% 0.20/0.42 inference(symmetry,[status(thm)],[43])).
% 0.20/0.42 tff(45,plain,
% 0.20/0.42 ((e_803 = select(a_800, i5)) <=> (e_803 = select(a_800, i5))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(46,axiom,(e_803 = select(a_800, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp36')).
% 0.20/0.42 tff(47,plain,
% 0.20/0.42 (e_803 = select(a_800, i5)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.42 tff(48,plain,
% 0.20/0.42 (select(a_800, i5) = e_803),
% 0.20/0.42 inference(symmetry,[status(thm)],[47])).
% 0.20/0.42 tff(49,plain,
% 0.20/0.42 ((a_800 = store(a_799, i1, e_798)) <=> (a_800 = store(a_799, i1, e_798))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(50,axiom,(a_800 = store(a_799, i1, e_798)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp9')).
% 0.20/0.42 tff(51,plain,
% 0.20/0.42 (a_800 = store(a_799, i1, e_798)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.42 tff(52,plain,
% 0.20/0.42 (store(a_799, i1, e_798) = a_800),
% 0.20/0.42 inference(symmetry,[status(thm)],[51])).
% 0.20/0.42 tff(53,plain,
% 0.20/0.42 ((e_798 = select(a_797, i1)) <=> (e_798 = select(a_797, i1))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(54,axiom,(e_798 = select(a_797, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp34')).
% 0.20/0.42 tff(55,plain,
% 0.20/0.42 (e_798 = select(a_797, i1)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.42 tff(56,plain,
% 0.20/0.42 (select(a_797, i1) = e_798),
% 0.20/0.42 inference(symmetry,[status(thm)],[55])).
% 0.20/0.42 tff(57,plain,
% 0.20/0.42 ((a_797 = store(a_795, i5, e_796)) <=> (a_797 = store(a_795, i5, e_796))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(58,axiom,(a_797 = store(a_795, i5, e_796)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp7')).
% 0.20/0.42 tff(59,plain,
% 0.20/0.42 (a_797 = store(a_795, i5, e_796)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.42 tff(60,plain,
% 0.20/0.42 (store(a_795, i5, e_796) = a_797),
% 0.20/0.42 inference(symmetry,[status(thm)],[59])).
% 0.20/0.42 tff(61,plain,
% 0.20/0.42 (store(store(a_795, i5, e_796), i1, select(a_797, i1)) = store(a_797, i1, e_798)),
% 0.20/0.42 inference(monotonicity,[status(thm)],[60, 56])).
% 0.20/0.42 tff(62,plain,
% 0.20/0.42 (store(a_797, i1, e_798) = store(store(a_795, i5, e_796), i1, select(a_797, i1))),
% 0.20/0.42 inference(symmetry,[status(thm)],[61])).
% 0.20/0.42 tff(63,plain,
% 0.20/0.42 ((a_799 = store(a_797, i1, e_798)) <=> (a_799 = store(a_797, i1, e_798))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(64,axiom,(a_799 = store(a_797, i1, e_798)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp8')).
% 0.20/0.42 tff(65,plain,
% 0.20/0.42 (a_799 = store(a_797, i1, e_798)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.43 tff(66,plain,
% 0.20/0.43 (a_799 = store(store(a_795, i5, e_796), i1, select(a_797, i1))),
% 0.20/0.43 inference(transitivity,[status(thm)],[65, 62])).
% 0.20/0.43 tff(67,plain,
% 0.20/0.43 (store(a_799, i1, e_798) = store(store(store(a_795, i5, e_796), i1, select(a_797, i1)), i1, select(a_797, i1))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[66, 55])).
% 0.20/0.43 tff(68,plain,
% 0.20/0.43 (store(store(store(a_795, i5, e_796), i1, select(a_797, i1)), i1, select(a_797, i1)) = store(a_799, i1, e_798)),
% 0.20/0.43 inference(symmetry,[status(thm)],[67])).
% 0.20/0.43 tff(69,plain,
% 0.20/0.43 (^[I: $i, E: $i, A: $i, F: $i] : refl((store(store(A, I, E), I, F) = store(A, I, F)) <=> (store(store(A, I, E), I, F) = store(A, I, F)))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(70,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F)) <=> ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[69])).
% 0.20/0.43 tff(71,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F)) <=> ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(72,axiom,(![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a4')).
% 0.20/0.43 tff(73,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.20/0.43 tff(74,plain,(
% 0.20/0.43 ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.43 inference(skolemize,[status(sab)],[73])).
% 0.20/0.43 tff(75,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.20/0.43 tff(76,plain,
% 0.20/0.43 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_795, i5, e_796), i1, select(a_797, i1)), i1, select(a_797, i1)) = store(store(a_795, i5, e_796), i1, select(a_797, i1)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(77,plain,
% 0.20/0.43 (store(store(store(a_795, i5, e_796), i1, select(a_797, i1)), i1, select(a_797, i1)) = store(store(a_795, i5, e_796), i1, select(a_797, i1))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.20/0.43 tff(78,plain,
% 0.20/0.43 (store(store(a_795, i5, e_796), i1, select(a_797, i1)) = store(store(store(a_795, i5, e_796), i1, select(a_797, i1)), i1, select(a_797, i1))),
% 0.20/0.43 inference(symmetry,[status(thm)],[77])).
% 0.20/0.43 tff(79,plain,
% 0.20/0.43 (select(store(a_795, i5, e_796), i1) = select(a_797, i1)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[60])).
% 0.20/0.43 tff(80,plain,
% 0.20/0.43 (select(a_797, i1) = select(store(a_795, i5, e_796), i1)),
% 0.20/0.43 inference(symmetry,[status(thm)],[79])).
% 0.20/0.43 tff(81,plain,
% 0.20/0.43 (e_798 = select(store(a_795, i5, e_796), i1)),
% 0.20/0.43 inference(transitivity,[status(thm)],[55, 80])).
% 0.20/0.43 tff(82,plain,
% 0.20/0.43 (store(a_797, i1, e_798) = store(store(a_795, i5, e_796), i1, select(store(a_795, i5, e_796), i1))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[59, 81])).
% 0.20/0.43 tff(83,plain,
% 0.20/0.43 (store(store(a_795, i5, e_796), i1, select(store(a_795, i5, e_796), i1)) = store(a_797, i1, e_798)),
% 0.20/0.43 inference(symmetry,[status(thm)],[82])).
% 0.20/0.43 tff(84,plain,
% 0.20/0.43 (^[I: $i, A: $i] : refl((store(A, I, select(A, I)) = A) <=> (store(A, I, select(A, I)) = A))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(85,plain,
% 0.20/0.43 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A) <=> ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.43 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.43 tff(86,plain,
% 0.20/0.43 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A) <=> ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(87,axiom,(![I: $i, A: $i] : (store(A, I, select(A, I)) = A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a3')).
% 0.20/0.43 tff(88,plain,
% 0.20/0.43 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.43 tff(89,plain,(
% 0.20/0.43 ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.43 inference(skolemize,[status(sab)],[88])).
% 0.20/0.43 tff(90,plain,
% 0.20/0.43 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.20/0.43 tff(91,plain,
% 0.20/0.43 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_795, i5, e_796), i1, select(store(a_795, i5, e_796), i1)) = store(a_795, i5, e_796))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(92,plain,
% 0.20/0.43 (store(store(a_795, i5, e_796), i1, select(store(a_795, i5, e_796), i1)) = store(a_795, i5, e_796)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.20/0.43 tff(93,plain,
% 0.20/0.43 (store(a_795, i5, e_796) = store(store(a_795, i5, e_796), i1, select(store(a_795, i5, e_796), i1))),
% 0.20/0.43 inference(symmetry,[status(thm)],[92])).
% 0.20/0.43 tff(94,plain,
% 0.20/0.43 ((e_796 = select(a_793, i2)) <=> (e_796 = select(a_793, i2))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(95,axiom,(e_796 = select(a_793, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp33')).
% 0.20/0.43 tff(96,plain,
% 0.20/0.43 (e_796 = select(a_793, i2)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.43 tff(97,plain,
% 0.20/0.43 ((e_794 = select(a_793, i5)) <=> (e_794 = select(a_793, i5))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(98,axiom,(e_794 = select(a_793, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp32')).
% 0.20/0.43 tff(99,plain,
% 0.20/0.43 (e_794 = select(a_793, i5)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.20/0.43 tff(100,plain,
% 0.20/0.43 (select(a_793, i5) = e_794),
% 0.20/0.43 inference(symmetry,[status(thm)],[99])).
% 0.20/0.43 tff(101,plain,
% 0.20/0.43 ((a_793 = store(a_791, i5, e_792)) <=> (a_793 = store(a_791, i5, e_792))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(102,axiom,(a_793 = store(a_791, i5, e_792)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp5')).
% 0.20/0.43 tff(103,plain,
% 0.20/0.43 (a_793 = store(a_791, i5, e_792)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.43 tff(104,plain,
% 0.20/0.43 (store(a_791, i5, e_792) = a_793),
% 0.20/0.43 inference(symmetry,[status(thm)],[103])).
% 0.20/0.43 tff(105,plain,
% 0.20/0.43 (store(store(a_791, i5, e_792), i2, select(a_793, i5)) = store(a_793, i2, e_794)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[104, 100])).
% 0.20/0.43 tff(106,plain,
% 0.20/0.43 (store(a_793, i2, e_794) = store(store(a_791, i5, e_792), i2, select(a_793, i5))),
% 0.20/0.43 inference(symmetry,[status(thm)],[105])).
% 0.20/0.43 tff(107,plain,
% 0.20/0.43 ((a_795 = store(a_793, i2, e_794)) <=> (a_795 = store(a_793, i2, e_794))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(108,axiom,(a_795 = store(a_793, i2, e_794)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp6')).
% 0.20/0.43 tff(109,plain,
% 0.20/0.43 (a_795 = store(a_793, i2, e_794)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.20/0.43 tff(110,plain,
% 0.20/0.43 (a_795 = store(store(a_791, i5, e_792), i2, select(a_793, i5))),
% 0.20/0.43 inference(transitivity,[status(thm)],[109, 106])).
% 0.20/0.43 tff(111,plain,
% 0.20/0.43 (store(a_795, i5, e_796) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[110, 96])).
% 0.20/0.43 tff(112,plain,
% 0.20/0.43 (store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)) = store(a_795, i5, e_796)),
% 0.20/0.43 inference(symmetry,[status(thm)],[111])).
% 0.20/0.43 tff(113,assumption,(store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))), introduced(assumption)).
% 0.20/0.43 tff(114,plain,
% 0.20/0.43 ((e_817 = select(a_814, i5)) <=> (e_817 = select(a_814, i5))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(115,axiom,(e_817 = select(a_814, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp42')).
% 0.20/0.43 tff(116,plain,
% 0.20/0.43 (e_817 = select(a_814, i5)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.20/0.43 tff(117,plain,
% 0.20/0.43 (select(a_814, i5) = e_817),
% 0.20/0.43 inference(symmetry,[status(thm)],[116])).
% 0.20/0.43 tff(118,plain,
% 0.20/0.43 ((a_816 = store(a_814, i5, e_815)) <=> (a_816 = store(a_814, i5, e_815))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(119,axiom,(a_816 = store(a_814, i5, e_815)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp18')).
% 0.20/0.43 tff(120,plain,
% 0.20/0.43 (a_816 = store(a_814, i5, e_815)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.20/0.43 tff(121,plain,
% 0.20/0.43 (store(a_814, i5, e_815) = a_816),
% 0.20/0.43 inference(symmetry,[status(thm)],[120])).
% 0.20/0.43 tff(122,plain,
% 0.20/0.43 ((e_815 = select(a_814, i2)) <=> (e_815 = select(a_814, i2))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(123,axiom,(e_815 = select(a_814, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp41')).
% 0.20/0.43 tff(124,plain,
% 0.20/0.43 (e_815 = select(a_814, i2)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.43 tff(125,plain,
% 0.20/0.43 (select(a_814, i2) = e_815),
% 0.20/0.43 inference(symmetry,[status(thm)],[124])).
% 0.20/0.43 tff(126,plain,
% 0.20/0.43 ((a_814 = store(a_812, i0, e_813)) <=> (a_814 = store(a_812, i0, e_813))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(127,axiom,(a_814 = store(a_812, i0, e_813)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp17')).
% 0.20/0.43 tff(128,plain,
% 0.20/0.43 (a_814 = store(a_812, i0, e_813)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.43 tff(129,plain,
% 0.20/0.43 (store(a_812, i0, e_813) = a_814),
% 0.20/0.43 inference(symmetry,[status(thm)],[128])).
% 0.20/0.43 tff(130,plain,
% 0.20/0.43 (store(store(a_812, i0, e_813), i5, select(a_814, i2)) = store(a_814, i5, e_815)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[129, 125])).
% 0.20/0.43 tff(131,plain,
% 0.20/0.43 (store(store(a_812, i0, e_813), i5, select(a_814, i2)) = a_816),
% 0.20/0.43 inference(transitivity,[status(thm)],[130, 121])).
% 0.20/0.43 tff(132,plain,
% 0.20/0.43 (store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5)) = store(a_816, i2, e_817)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[131, 117])).
% 0.20/0.43 tff(133,plain,
% 0.20/0.43 (store(a_816, i2, e_817) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5))),
% 0.20/0.43 inference(symmetry,[status(thm)],[132])).
% 0.20/0.43 tff(134,plain,
% 0.20/0.43 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1)) = store(a_816, i2, e_817))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(135,plain,
% 0.20/0.43 (store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1)) = store(a_816, i2, e_817)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[134, 90])).
% 0.20/0.43 tff(136,plain,
% 0.20/0.43 ((a_818 = store(a_816, i2, e_817)) <=> (a_818 = store(a_816, i2, e_817))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(137,axiom,(a_818 = store(a_816, i2, e_817)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp19')).
% 0.20/0.44 tff(138,plain,
% 0.20/0.44 (a_818 = store(a_816, i2, e_817)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.20/0.44 tff(139,plain,
% 0.20/0.44 (store(a_816, i2, e_817) = a_818),
% 0.20/0.44 inference(symmetry,[status(thm)],[138])).
% 0.20/0.44 tff(140,plain,
% 0.20/0.44 (select(store(a_816, i2, e_817), i1) = select(a_818, i1)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[139])).
% 0.20/0.44 tff(141,plain,
% 0.20/0.44 (select(a_818, i1) = select(store(a_816, i2, e_817), i1)),
% 0.20/0.44 inference(symmetry,[status(thm)],[140])).
% 0.20/0.44 tff(142,plain,
% 0.20/0.44 ((e_819 = select(a_818, i1)) <=> (e_819 = select(a_818, i1))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(143,axiom,(e_819 = select(a_818, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp43')).
% 0.20/0.44 tff(144,plain,
% 0.20/0.44 (e_819 = select(a_818, i1)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.20/0.44 tff(145,plain,
% 0.20/0.44 (e_819 = select(store(a_816, i2, e_817), i1)),
% 0.20/0.44 inference(transitivity,[status(thm)],[144, 141])).
% 0.20/0.44 tff(146,plain,
% 0.20/0.44 (store(a_818, i1, e_819) = store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[138, 145])).
% 0.20/0.44 tff(147,plain,
% 0.20/0.44 (select(a_818, i1) = e_819),
% 0.20/0.44 inference(symmetry,[status(thm)],[144])).
% 0.20/0.44 tff(148,plain,
% 0.20/0.44 (store(store(a_816, i2, e_817), i1, select(a_818, i1)) = store(a_818, i1, e_819)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[139, 147])).
% 0.20/0.44 tff(149,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1)) = store(store(a_816, i2, e_817), i1, select(a_818, i1)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(150,plain,
% 0.20/0.44 (store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1)) = store(store(a_816, i2, e_817), i1, select(a_818, i1))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[149, 75])).
% 0.20/0.44 tff(151,plain,
% 0.20/0.44 (store(a_818, i1, e_819) = store(store(a_816, i2, e_817), i1, select(a_818, i1))),
% 0.20/0.44 inference(symmetry,[status(thm)],[148])).
% 0.20/0.44 tff(152,plain,
% 0.20/0.44 ((a_820 = store(a_818, i1, e_819)) <=> (a_820 = store(a_818, i1, e_819))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(153,axiom,(a_820 = store(a_818, i1, e_819)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp20')).
% 0.20/0.44 tff(154,plain,
% 0.20/0.44 (a_820 = store(a_818, i1, e_819)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.20/0.44 tff(155,plain,
% 0.20/0.44 (a_820 = store(store(a_816, i2, e_817), i1, select(a_818, i1))),
% 0.20/0.44 inference(transitivity,[status(thm)],[154, 151])).
% 0.20/0.44 tff(156,plain,
% 0.20/0.44 (store(a_820, i1, e_819) = store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[155, 144])).
% 0.20/0.44 tff(157,plain,
% 0.20/0.44 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5)) = store(a_820, i1, e_819))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(158,plain,
% 0.20/0.44 (store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5)) = store(a_820, i1, e_819)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[157, 90])).
% 0.20/0.44 tff(159,plain,
% 0.20/0.44 ((a_821 = store(a_820, i1, e_819)) <=> (a_821 = store(a_820, i1, e_819))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(160,axiom,(a_821 = store(a_820, i1, e_819)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp21')).
% 0.20/0.44 tff(161,plain,
% 0.20/0.44 (a_821 = store(a_820, i1, e_819)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.44 tff(162,plain,
% 0.20/0.44 (store(a_820, i1, e_819) = a_821),
% 0.20/0.44 inference(symmetry,[status(thm)],[161])).
% 0.20/0.44 tff(163,plain,
% 0.20/0.44 (select(store(a_820, i1, e_819), i5) = select(a_821, i5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.44 tff(164,plain,
% 0.20/0.44 (select(a_821, i5) = select(store(a_820, i1, e_819), i5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[163])).
% 0.20/0.44 tff(165,assumption,(i5 = i2), introduced(assumption)).
% 0.20/0.44 tff(166,plain,
% 0.20/0.44 (i2 = i5),
% 0.20/0.44 inference(symmetry,[status(thm)],[165])).
% 0.20/0.44 tff(167,plain,
% 0.20/0.44 (store(store(a_820, i1, e_819), i2, select(a_821, i5)) = store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[166, 164])).
% 0.20/0.44 tff(168,plain,
% 0.20/0.44 ((e_824 = select(a_821, i5)) <=> (e_824 = select(a_821, i5))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(169,axiom,(e_824 = select(a_821, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp45')).
% 0.20/0.44 tff(170,plain,
% 0.20/0.44 (e_824 = select(a_821, i5)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.20/0.44 tff(171,plain,
% 0.20/0.44 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2)) = store(a_820, i1, e_819))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(172,plain,
% 0.20/0.44 (store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2)) = store(a_820, i1, e_819)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[171, 90])).
% 0.20/0.44 tff(173,plain,
% 0.20/0.44 (select(store(a_820, i1, e_819), i2) = select(a_821, i2)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.44 tff(174,plain,
% 0.20/0.44 (select(a_821, i2) = select(store(a_820, i1, e_819), i2)),
% 0.20/0.44 inference(symmetry,[status(thm)],[173])).
% 0.20/0.44 tff(175,plain,
% 0.20/0.44 ((e_822 = select(a_821, i2)) <=> (e_822 = select(a_821, i2))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(176,axiom,(e_822 = select(a_821, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp44')).
% 0.20/0.44 tff(177,plain,
% 0.20/0.44 (e_822 = select(a_821, i2)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.20/0.44 tff(178,plain,
% 0.20/0.44 (e_822 = select(store(a_820, i1, e_819), i2)),
% 0.20/0.44 inference(transitivity,[status(thm)],[177, 174])).
% 0.20/0.44 tff(179,plain,
% 0.20/0.44 (store(a_821, i5, e_822) = store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[161, 165, 178])).
% 0.20/0.44 tff(180,plain,
% 0.20/0.44 ((a_823 = store(a_821, i5, e_822)) <=> (a_823 = store(a_821, i5, e_822))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(181,axiom,(a_823 = store(a_821, i5, e_822)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp22')).
% 0.20/0.44 tff(182,plain,
% 0.20/0.44 (a_823 = store(a_821, i5, e_822)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.20/0.44 tff(183,plain,
% 0.20/0.44 (a_823 = store(a_820, i1, e_819)),
% 0.20/0.44 inference(transitivity,[status(thm)],[182, 179, 172])).
% 0.20/0.44 tff(184,plain,
% 0.20/0.44 (store(a_823, i2, e_824) = store(store(a_820, i1, e_819), i2, select(a_821, i5))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[183, 170])).
% 0.20/0.44 tff(185,plain,
% 0.20/0.44 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_823, i2, e_824), i5, select(store(a_823, i2, e_824), i5)) = store(a_823, i2, e_824))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(186,plain,
% 0.20/0.44 (store(store(a_823, i2, e_824), i5, select(store(a_823, i2, e_824), i5)) = store(a_823, i2, e_824)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[185, 90])).
% 0.20/0.44 tff(187,plain,
% 0.20/0.44 ((a_825 = store(a_823, i2, e_824)) <=> (a_825 = store(a_823, i2, e_824))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(188,axiom,(a_825 = store(a_823, i2, e_824)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp23')).
% 0.20/0.44 tff(189,plain,
% 0.20/0.44 (a_825 = store(a_823, i2, e_824)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.20/0.44 tff(190,plain,
% 0.20/0.44 (store(a_823, i2, e_824) = a_825),
% 0.20/0.44 inference(symmetry,[status(thm)],[189])).
% 0.20/0.44 tff(191,plain,
% 0.20/0.44 (select(store(a_823, i2, e_824), i5) = select(a_825, i5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[190])).
% 0.20/0.44 tff(192,plain,
% 0.20/0.44 (select(a_825, i5) = select(store(a_823, i2, e_824), i5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[191])).
% 0.20/0.44 tff(193,plain,
% 0.20/0.44 (store(store(a_823, i2, e_824), i2, select(a_825, i5)) = store(store(a_823, i2, e_824), i5, select(store(a_823, i2, e_824), i5))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[166, 192])).
% 0.20/0.44 tff(194,plain,
% 0.20/0.44 ((e_828 = select(a_825, i5)) <=> (e_828 = select(a_825, i5))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(195,axiom,(e_828 = select(a_825, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp47')).
% 0.20/0.44 tff(196,plain,
% 0.20/0.44 (e_828 = select(a_825, i5)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.20/0.44 tff(197,plain,
% 0.20/0.44 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2)) = store(a_823, i2, e_824))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(198,plain,
% 0.20/0.44 (store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2)) = store(a_823, i2, e_824)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[197, 90])).
% 0.20/0.44 tff(199,plain,
% 0.20/0.44 (select(store(a_823, i2, e_824), i2) = select(a_825, i2)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[190])).
% 0.20/0.44 tff(200,plain,
% 0.20/0.44 (select(a_825, i2) = select(store(a_823, i2, e_824), i2)),
% 0.20/0.44 inference(symmetry,[status(thm)],[199])).
% 0.20/0.44 tff(201,plain,
% 0.20/0.44 ((e_826 = select(a_825, i2)) <=> (e_826 = select(a_825, i2))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(202,axiom,(e_826 = select(a_825, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp46')).
% 0.20/0.44 tff(203,plain,
% 0.20/0.44 (e_826 = select(a_825, i2)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.20/0.44 tff(204,plain,
% 0.20/0.44 (e_826 = select(store(a_823, i2, e_824), i2)),
% 0.20/0.44 inference(transitivity,[status(thm)],[203, 200])).
% 0.20/0.44 tff(205,plain,
% 0.20/0.44 (store(a_825, i5, e_826) = store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[189, 165, 204])).
% 0.20/0.44 tff(206,plain,
% 0.20/0.44 ((a_827 = store(a_825, i5, e_826)) <=> (a_827 = store(a_825, i5, e_826))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(207,axiom,(a_827 = store(a_825, i5, e_826)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp24')).
% 0.20/0.44 tff(208,plain,
% 0.20/0.44 (a_827 = store(a_825, i5, e_826)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.44 tff(209,plain,
% 0.20/0.44 (a_827 = store(a_823, i2, e_824)),
% 0.20/0.44 inference(transitivity,[status(thm)],[208, 205, 198])).
% 0.20/0.44 tff(210,plain,
% 0.20/0.44 (store(a_827, i2, e_828) = store(store(a_823, i2, e_824), i2, select(a_825, i5))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[209, 196])).
% 0.20/0.44 tff(211,plain,
% 0.20/0.44 (a_829 = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5))),
% 0.20/0.44 inference(transitivity,[status(thm)],[35, 210, 193, 186, 184, 167, 158, 156, 150, 148, 146, 135, 133])).
% 0.20/0.44 tff(212,plain,
% 0.20/0.44 (select(a_793, i2) = e_796),
% 0.20/0.44 inference(symmetry,[status(thm)],[96])).
% 0.20/0.44 tff(213,plain,
% 0.20/0.44 ((a_810 = store(a_809, i2, e_786)) <=> (a_810 = store(a_809, i2, e_786))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(214,axiom,(a_810 = store(a_809, i2, e_786)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp15')).
% 0.20/0.44 tff(215,plain,
% 0.20/0.44 (a_810 = store(a_809, i2, e_786)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.20/0.44 tff(216,plain,
% 0.20/0.44 (store(a_809, i2, e_786) = a_810),
% 0.20/0.44 inference(symmetry,[status(thm)],[215])).
% 0.20/0.44 tff(217,plain,
% 0.20/0.44 ((a_809 = store(a_785, i1, e_788)) <=> (a_809 = store(a_785, i1, e_788))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(218,axiom,(a_809 = store(a_785, i1, e_788)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp14')).
% 0.20/0.44 tff(219,plain,
% 0.20/0.44 (a_809 = store(a_785, i1, e_788)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.20/0.44 tff(220,plain,
% 0.20/0.44 (store(a_785, i1, e_788) = a_809),
% 0.20/0.44 inference(symmetry,[status(thm)],[219])).
% 0.20/0.44 tff(221,plain,
% 0.20/0.44 (store(store(a_783, i3, e_784), i1, select(a_785, i2)) = store(a_785, i1, e_788)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[16, 4])).
% 0.20/0.44 tff(222,plain,
% 0.20/0.44 (store(store(a_783, i3, e_784), i1, select(a_785, i2)) = a_809),
% 0.20/0.44 inference(transitivity,[status(thm)],[221, 220])).
% 0.20/0.44 tff(223,plain,
% 0.20/0.44 (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(a_809, i2, e_786)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[222, 12])).
% 0.20/0.44 tff(224,plain,
% 0.20/0.44 (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))),
% 0.20/0.44 inference(symmetry,[status(thm)],[113])).
% 0.20/0.44 tff(225,plain,
% 0.20/0.44 (a_787 = store(store(a_783, i3, e_784), i2, select(a_785, i1))),
% 0.20/0.44 inference(transitivity,[status(thm)],[7, 21])).
% 0.20/0.45 tff(226,plain,
% 0.20/0.45 (store(a_787, i1, e_788) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[225, 3])).
% 0.20/0.45 tff(227,plain,
% 0.20/0.45 ((a_789 = store(a_787, i1, e_788)) <=> (a_789 = store(a_787, i1, e_788))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(228,axiom,(a_789 = store(a_787, i1, e_788)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp3')).
% 0.20/0.45 tff(229,plain,
% 0.20/0.45 (a_789 = store(a_787, i1, e_788)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.20/0.45 tff(230,plain,
% 0.20/0.45 (a_789 = a_810),
% 0.20/0.45 inference(transitivity,[status(thm)],[229, 226, 224, 223, 216])).
% 0.20/0.45 tff(231,plain,
% 0.20/0.45 (select(a_789, i0) = select(a_810, i0)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[230])).
% 0.20/0.45 tff(232,plain,
% 0.20/0.45 ((e_792 = select(a_789, i0)) <=> (e_792 = select(a_789, i0))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(233,axiom,(e_792 = select(a_789, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp31')).
% 0.20/0.45 tff(234,plain,
% 0.20/0.45 (e_792 = select(a_789, i0)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.20/0.45 tff(235,plain,
% 0.20/0.45 (e_792 = select(a_810, i0)),
% 0.20/0.45 inference(transitivity,[status(thm)],[234, 231])).
% 0.20/0.45 tff(236,plain,
% 0.20/0.45 (select(a_789, i5) = select(a_810, i5)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[230])).
% 0.20/0.45 tff(237,plain,
% 0.20/0.45 ((e_790 = select(a_789, i5)) <=> (e_790 = select(a_789, i5))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(238,axiom,(e_790 = select(a_789, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp30')).
% 0.20/0.45 tff(239,plain,
% 0.20/0.45 (e_790 = select(a_789, i5)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.20/0.45 tff(240,plain,
% 0.20/0.45 (e_790 = select(a_810, i5)),
% 0.20/0.45 inference(transitivity,[status(thm)],[239, 236])).
% 0.20/0.45 tff(241,plain,
% 0.20/0.45 (a_789 = store(a_809, i2, e_786)),
% 0.20/0.45 inference(transitivity,[status(thm)],[229, 226, 224, 223])).
% 0.20/0.45 tff(242,plain,
% 0.20/0.45 (store(a_789, i0, e_790) = store(store(a_809, i2, e_786), i0, select(a_810, i5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[241, 240])).
% 0.20/0.45 tff(243,plain,
% 0.20/0.45 ((a_791 = store(a_789, i0, e_790)) <=> (a_791 = store(a_789, i0, e_790))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(244,axiom,(a_791 = store(a_789, i0, e_790)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp4')).
% 0.20/0.45 tff(245,plain,
% 0.20/0.45 (a_791 = store(a_789, i0, e_790)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.45 tff(246,plain,
% 0.20/0.45 (a_791 = store(store(a_809, i2, e_786), i0, select(a_810, i5))),
% 0.20/0.45 inference(transitivity,[status(thm)],[245, 242])).
% 0.20/0.45 tff(247,plain,
% 0.20/0.45 (store(a_791, i5, e_792) = store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[246, 235])).
% 0.20/0.45 tff(248,plain,
% 0.20/0.45 (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(a_791, i5, e_792)),
% 0.20/0.45 inference(symmetry,[status(thm)],[247])).
% 0.20/0.45 tff(249,plain,
% 0.20/0.45 (select(a_825, i2) = e_826),
% 0.20/0.45 inference(symmetry,[status(thm)],[203])).
% 0.20/0.45 tff(250,plain,
% 0.20/0.45 (store(store(a_823, i2, e_824), i5, select(a_825, i2)) = store(a_825, i5, e_826)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[190, 249])).
% 0.20/0.45 tff(251,plain,
% 0.20/0.45 (store(a_825, i5, e_826) = store(store(a_823, i2, e_824), i5, select(a_825, i2))),
% 0.20/0.45 inference(symmetry,[status(thm)],[250])).
% 0.20/0.45 tff(252,plain,
% 0.20/0.45 (select(store(a_825, i5, e_826), i5) = select(store(store(a_823, i2, e_824), i5, select(a_825, i2)), i5)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[251])).
% 0.20/0.45 tff(253,plain,
% 0.20/0.45 (select(store(store(a_823, i2, e_824), i5, select(a_825, i2)), i5) = select(store(a_825, i5, e_826), i5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[252])).
% 0.20/0.45 tff(254,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_823, i2, e_824), i5, select(a_825, i2)), i5) = select(a_825, i2))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(255,plain,
% 0.20/0.45 (select(store(store(a_823, i2, e_824), i5, select(a_825, i2)), i5) = select(a_825, i2)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[254, 29])).
% 0.20/0.45 tff(256,plain,
% 0.20/0.45 (select(a_825, i2) = select(store(store(a_823, i2, e_824), i5, select(a_825, i2)), i5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[255])).
% 0.20/0.45 tff(257,assumption,(i0 = i5), introduced(assumption)).
% 0.20/0.45 tff(258,assumption,(~(i5 = i2)), introduced(assumption)).
% 0.20/0.45 tff(259,plain,
% 0.20/0.45 (^[I: $i, E: $i, A: $i, J: $i, F: $i] : refl(((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(260,plain,
% 0.20/0.45 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[259])).
% 0.20/0.45 tff(261,plain,
% 0.20/0.45 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(262,axiom,(![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5')).
% 0.20/0.45 tff(263,plain,
% 0.20/0.45 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.20/0.45 tff(264,plain,(
% 0.20/0.45 ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[263])).
% 0.20/0.45 tff(265,plain,
% 0.20/0.45 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.20/0.45 tff(266,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(267,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(268,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[267, 266])).
% 0.20/0.45 tff(269,plain,
% 0.20/0.45 ((i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[268, 265])).
% 0.20/0.45 tff(270,plain,
% 0.20/0.45 (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[269, 258])).
% 0.20/0.45 tff(271,plain,
% 0.20/0.45 (store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5))),
% 0.20/0.45 inference(symmetry,[status(thm)],[270])).
% 0.20/0.45 tff(272,plain,
% 0.20/0.45 (select(a_821, i5) = e_824),
% 0.20/0.45 inference(symmetry,[status(thm)],[170])).
% 0.20/0.45 tff(273,plain,
% 0.20/0.45 (store(a_821, i5, e_822) = a_823),
% 0.20/0.45 inference(symmetry,[status(thm)],[182])).
% 0.20/0.45 tff(274,plain,
% 0.20/0.45 (store(store(a_821, i5, e_822), i2, select(a_821, i5)) = store(a_823, i2, e_824)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[273, 272])).
% 0.20/0.45 tff(275,plain,
% 0.20/0.45 (store(store(a_821, i5, e_822), i2, select(a_821, i5)) = a_825),
% 0.20/0.45 inference(transitivity,[status(thm)],[274, 190])).
% 0.20/0.45 tff(276,plain,
% 0.20/0.45 (store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)) = store(a_825, i5, e_826)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[275, 249])).
% 0.20/0.45 tff(277,plain,
% 0.20/0.45 (store(a_825, i5, e_826) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))),
% 0.20/0.45 inference(symmetry,[status(thm)],[276])).
% 0.20/0.45 tff(278,plain,
% 0.20/0.45 (a_827 = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5))),
% 0.20/0.45 inference(transitivity,[status(thm)],[208, 277, 271])).
% 0.20/0.45 tff(279,plain,
% 0.20/0.45 (store(a_827, i2, e_828) = store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[278, 196])).
% 0.20/0.45 tff(280,plain,
% 0.20/0.45 (store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5)) = store(a_827, i2, e_828)),
% 0.20/0.45 inference(symmetry,[status(thm)],[279])).
% 0.20/0.45 tff(281,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(282,plain,
% 0.20/0.45 (store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[281, 75])).
% 0.20/0.45 tff(283,plain,
% 0.20/0.45 (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5)) = store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5))),
% 0.20/0.45 inference(symmetry,[status(thm)],[282])).
% 0.20/0.45 tff(284,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5) = select(a_821, i2))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(285,plain,
% 0.20/0.45 (select(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5) = select(a_821, i2)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[284, 29])).
% 0.20/0.45 tff(286,plain,
% 0.20/0.45 (select(a_821, i2) = e_822),
% 0.20/0.45 inference(symmetry,[status(thm)],[177])).
% 0.20/0.45 tff(287,plain,
% 0.20/0.45 (store(store(a_820, i1, e_819), i5, select(a_821, i2)) = store(a_821, i5, e_822)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[162, 286])).
% 0.20/0.45 tff(288,plain,
% 0.20/0.45 (store(a_821, i5, e_822) = store(store(a_820, i1, e_819), i5, select(a_821, i2))),
% 0.20/0.45 inference(symmetry,[status(thm)],[287])).
% 0.20/0.45 tff(289,plain,
% 0.20/0.45 (select(store(a_821, i5, e_822), i5) = select(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[288])).
% 0.20/0.45 tff(290,plain,
% 0.20/0.45 ((i5 = i2) <=> (i2 = i5)),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(291,plain,
% 0.20/0.45 ((~(i5 = i2)) <=> (~(i2 = i5))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[290])).
% 0.20/0.45 tff(292,plain,
% 0.20/0.45 (~(i2 = i5)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[258, 291])).
% 0.20/0.45 tff(293,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(294,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(295,axiom,(![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a2')).
% 0.20/0.46 tff(296,plain,
% 0.20/0.46 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.20/0.46 tff(297,plain,(
% 0.20/0.46 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[296])).
% 0.20/0.46 tff(298,plain,
% 0.20/0.46 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[297, 293])).
% 0.20/0.46 tff(299,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(300,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(301,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.20/0.46 tff(302,plain,
% 0.20/0.46 ((i2 = i5) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[301, 298])).
% 0.20/0.46 tff(303,plain,
% 0.20/0.46 (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[302, 292])).
% 0.20/0.46 tff(304,plain,
% 0.20/0.46 (store(a_823, i2, e_824) = store(store(a_821, i5, e_822), i2, select(a_821, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[274])).
% 0.20/0.46 tff(305,plain,
% 0.20/0.46 (a_825 = store(store(a_821, i5, e_822), i2, select(a_821, i5))),
% 0.20/0.46 inference(transitivity,[status(thm)],[189, 304])).
% 0.20/0.46 tff(306,plain,
% 0.20/0.46 (select(a_825, i5) = select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[305])).
% 0.20/0.46 tff(307,plain,
% 0.20/0.46 (select(a_825, i5) = select(a_821, i2)),
% 0.20/0.46 inference(transitivity,[status(thm)],[306, 303, 289, 285])).
% 0.20/0.46 tff(308,plain,
% 0.20/0.46 (select(a_825, i2) = select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i2)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[305])).
% 0.20/0.46 tff(309,plain,
% 0.20/0.46 (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i2) = select(a_825, i2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[308])).
% 0.20/0.46 tff(310,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i2) = select(a_821, i5))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(311,plain,
% 0.20/0.46 (select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i2) = select(a_821, i5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[310, 29])).
% 0.20/0.46 tff(312,plain,
% 0.20/0.46 (select(a_821, i5) = select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[311])).
% 0.20/0.46 tff(313,plain,
% 0.20/0.46 (select(a_821, i5) = select(a_825, i2)),
% 0.20/0.46 inference(transitivity,[status(thm)],[312, 309])).
% 0.20/0.46 tff(314,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i5, select(a_821, i5)) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[313])).
% 0.20/0.46 tff(315,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(store(a_821, i5, e_822), i5, select(a_821, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[314])).
% 0.20/0.46 tff(316,plain,
% 0.20/0.46 (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[315, 307])).
% 0.20/0.46 tff(317,plain,
% 0.20/0.46 (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[316])).
% 0.20/0.46 tff(318,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(319,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(320,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.20/0.46 tff(321,plain,
% 0.20/0.46 (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[320, 265, 258])).
% 0.20/0.46 tff(322,plain,
% 0.20/0.46 (store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2))),
% 0.20/0.46 inference(symmetry,[status(thm)],[321])).
% 0.20/0.46 tff(323,plain,
% 0.20/0.46 (store(store(a_820, i1, e_819), i2, select(a_821, i2)) = store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[174])).
% 0.20/0.46 tff(324,plain,
% 0.20/0.46 (store(store(a_820, i1, e_819), i2, select(a_821, i2)) = a_821),
% 0.20/0.46 inference(transitivity,[status(thm)],[323, 172, 162])).
% 0.20/0.46 tff(325,plain,
% 0.20/0.46 (store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2)) = store(a_821, i5, e_822)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[324, 286])).
% 0.20/0.46 tff(326,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(327,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(328,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.20/0.46 tff(329,plain,
% 0.20/0.46 ((i5 = i2) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[328, 265])).
% 0.20/0.46 tff(330,plain,
% 0.20/0.46 (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[329, 258])).
% 0.20/0.46 tff(331,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[288])).
% 0.20/0.46 tff(332,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i2, select(a_821, i2)) = store(a_821, i5, e_822)),
% 0.20/0.46 inference(transitivity,[status(thm)],[331, 330, 325])).
% 0.20/0.46 tff(333,plain,
% 0.20/0.46 (store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[332, 313])).
% 0.20/0.46 tff(334,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[333])).
% 0.20/0.46 tff(335,plain,
% 0.20/0.46 (select(a_825, i2) = select(a_821, i5)),
% 0.20/0.46 inference(transitivity,[status(thm)],[308, 311])).
% 0.20/0.46 tff(336,plain,
% 0.20/0.46 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5, select(a_821, i5))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[288, 335])).
% 0.20/0.46 tff(337,plain,
% 0.20/0.46 (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5, select(a_821, i5)) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.46 inference(symmetry,[status(thm)],[336])).
% 0.20/0.46 tff(338,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5, select(a_821, i5)) = store(store(a_820, i1, e_819), i5, select(a_821, i5)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(339,plain,
% 0.20/0.46 (store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5, select(a_821, i5)) = store(store(a_820, i1, e_819), i5, select(a_821, i5))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[338, 75])).
% 0.20/0.46 tff(340,plain,
% 0.20/0.46 (store(store(a_820, i1, e_819), i5, select(a_821, i5)) = store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5, select(a_821, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[339])).
% 0.20/0.46 tff(341,plain,
% 0.20/0.46 (store(store(a_820, i1, e_819), i5, select(a_821, i5)) = store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[164])).
% 0.20/0.46 tff(342,plain,
% 0.20/0.46 (store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5)) = store(store(a_820, i1, e_819), i5, select(a_821, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[341])).
% 0.20/0.46 tff(343,plain,
% 0.20/0.46 (store(a_820, i1, e_819) = store(store(a_820, i1, e_819), i5, select(store(a_820, i1, e_819), i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[158])).
% 0.20/0.46 tff(344,plain,
% 0.20/0.46 (store(a_818, i1, e_819) = a_820),
% 0.20/0.46 inference(symmetry,[status(thm)],[154])).
% 0.20/0.46 tff(345,plain,
% 0.20/0.46 (store(a_818, i1, e_819) = store(store(a_816, i2, e_817), i1, select(a_818, i1))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[138, 144])).
% 0.20/0.46 tff(346,plain,
% 0.20/0.46 (store(store(a_816, i2, e_817), i1, select(a_818, i1)) = store(a_818, i1, e_819)),
% 0.20/0.46 inference(symmetry,[status(thm)],[345])).
% 0.20/0.46 tff(347,plain,
% 0.20/0.46 (store(store(a_816, i2, e_817), i1, select(a_818, i1)) = a_820),
% 0.20/0.46 inference(transitivity,[status(thm)],[346, 344])).
% 0.20/0.46 tff(348,plain,
% 0.20/0.46 (store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1)) = store(a_820, i1, e_819)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[347, 147])).
% 0.20/0.46 tff(349,plain,
% 0.20/0.46 (store(store(a_816, i2, e_817), i1, select(a_818, i1)) = store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1))),
% 0.20/0.46 inference(symmetry,[status(thm)],[150])).
% 0.20/0.46 tff(350,plain,
% 0.20/0.46 (select(store(a_816, i2, e_817), i1) = e_819),
% 0.20/0.46 inference(transitivity,[status(thm)],[140, 147])).
% 0.20/0.46 tff(351,plain,
% 0.20/0.46 (store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1)) = store(a_818, i1, e_819)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[139, 350])).
% 0.20/0.46 tff(352,plain,
% 0.20/0.46 (store(a_816, i2, e_817) = store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1))),
% 0.20/0.46 inference(symmetry,[status(thm)],[135])).
% 0.20/0.46 tff(353,plain,
% 0.20/0.46 ((e_813 = select(a_810, i5)) <=> (e_813 = select(a_810, i5))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(354,axiom,(e_813 = select(a_810, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp40')).
% 0.20/0.46 tff(355,plain,
% 0.20/0.46 (e_813 = select(a_810, i5)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.20/0.46 tff(356,plain,
% 0.20/0.46 (select(a_810, i5) = e_813),
% 0.20/0.46 inference(symmetry,[status(thm)],[355])).
% 0.20/0.46 tff(357,plain,
% 0.20/0.46 ((a_812 = store(a_810, i5, e_811)) <=> (a_812 = store(a_810, i5, e_811))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(358,axiom,(a_812 = store(a_810, i5, e_811)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp16')).
% 0.20/0.46 tff(359,plain,
% 0.20/0.46 (a_812 = store(a_810, i5, e_811)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.20/0.46 tff(360,plain,
% 0.20/0.46 (store(a_810, i5, e_811) = a_812),
% 0.20/0.46 inference(symmetry,[status(thm)],[359])).
% 0.20/0.46 tff(361,plain,
% 0.20/0.46 (store(store(a_810, i5, e_811), i0, select(a_810, i5)) = store(a_812, i0, e_813)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[360, 356])).
% 0.20/0.46 tff(362,plain,
% 0.20/0.46 (store(store(a_810, i5, e_811), i0, select(a_810, i5)) = a_814),
% 0.20/0.46 inference(transitivity,[status(thm)],[361, 129])).
% 0.20/0.46 tff(363,plain,
% 0.20/0.46 (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i0) = select(a_814, i5)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[362, 257])).
% 0.20/0.46 tff(364,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i0) = select(a_810, i5))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(365,plain,
% 0.20/0.46 (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i0) = select(a_810, i5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[364, 29])).
% 0.20/0.46 tff(366,plain,
% 0.20/0.46 (select(a_810, i5) = select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i0)),
% 0.20/0.46 inference(symmetry,[status(thm)],[365])).
% 0.20/0.46 tff(367,plain,
% 0.20/0.46 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_809, i2, e_786), i0, select(store(a_809, i2, e_786), i0)) = store(a_809, i2, e_786))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(368,plain,
% 0.20/0.46 (store(store(a_809, i2, e_786), i0, select(store(a_809, i2, e_786), i0)) = store(a_809, i2, e_786)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[367, 90])).
% 0.20/0.46 tff(369,plain,
% 0.20/0.46 (select(store(a_809, i2, e_786), i0) = select(a_810, i0)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[216])).
% 0.20/0.46 tff(370,plain,
% 0.20/0.46 (select(a_810, i0) = select(store(a_809, i2, e_786), i0)),
% 0.20/0.46 inference(symmetry,[status(thm)],[369])).
% 0.20/0.46 tff(371,plain,
% 0.20/0.46 ((e_811 = select(a_810, i0)) <=> (e_811 = select(a_810, i0))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(372,axiom,(e_811 = select(a_810, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp39')).
% 0.20/0.46 tff(373,plain,
% 0.20/0.46 (e_811 = select(a_810, i0)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.20/0.46 tff(374,plain,
% 0.20/0.46 (e_811 = select(store(a_809, i2, e_786), i0)),
% 0.20/0.46 inference(transitivity,[status(thm)],[373, 370])).
% 0.20/0.46 tff(375,plain,
% 0.20/0.46 (i5 = i0),
% 0.20/0.46 inference(symmetry,[status(thm)],[257])).
% 0.20/0.46 tff(376,plain,
% 0.20/0.46 (store(a_810, i5, e_811) = store(store(a_809, i2, e_786), i0, select(store(a_809, i2, e_786), i0))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[215, 375, 374])).
% 0.20/0.46 tff(377,plain,
% 0.20/0.46 (select(a_810, i0) = e_811),
% 0.20/0.46 inference(symmetry,[status(thm)],[373])).
% 0.20/0.46 tff(378,plain,
% 0.20/0.46 (store(store(a_785, i1, e_788), i2, select(a_785, i1)) = store(a_809, i2, e_786)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[220, 12])).
% 0.20/0.46 tff(379,plain,
% 0.20/0.46 (store(store(a_785, i1, e_788), i2, select(a_785, i1)) = a_810),
% 0.20/0.46 inference(transitivity,[status(thm)],[378, 216])).
% 0.20/0.46 tff(380,plain,
% 0.20/0.46 (store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0)) = store(a_810, i5, e_811)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[379, 377])).
% 0.20/0.47 tff(381,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(382,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(383,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[382, 381])).
% 0.20/0.47 tff(384,plain,
% 0.20/0.47 ((i5 = i2) | (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[383, 265])).
% 0.20/0.47 tff(385,plain,
% 0.20/0.47 (store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1)) = store(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5, select(a_810, i0))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[384, 258])).
% 0.20/0.47 tff(386,plain,
% 0.20/0.47 (select(a_810, i0) = select(a_810, i5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[257])).
% 0.20/0.47 tff(387,plain,
% 0.20/0.47 (store(store(a_785, i1, e_788), i5, select(a_810, i0)) = store(store(a_785, i1, e_788), i5, select(a_810, i5))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.47 tff(388,plain,
% 0.20/0.47 (store(store(a_785, i1, e_788), i5, select(a_810, i5)) = store(store(a_785, i1, e_788), i5, select(a_810, i0))),
% 0.20/0.47 inference(symmetry,[status(thm)],[387])).
% 0.20/0.47 tff(389,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(390,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(391,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[390, 389])).
% 0.20/0.47 tff(392,plain,
% 0.20/0.47 ((i2 = i5) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[391, 298])).
% 0.20/0.47 tff(393,plain,
% 0.20/0.47 (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(store(a_785, i1, e_788), i5)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[392, 292])).
% 0.20/0.47 tff(394,plain,
% 0.20/0.47 (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5) = select(a_810, i5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[379])).
% 0.20/0.47 tff(395,plain,
% 0.20/0.47 (select(a_810, i5) = select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i5)),
% 0.20/0.47 inference(symmetry,[status(thm)],[394])).
% 0.20/0.47 tff(396,plain,
% 0.20/0.47 (select(a_810, i5) = select(store(a_785, i1, e_788), i5)),
% 0.20/0.47 inference(transitivity,[status(thm)],[395, 393])).
% 0.20/0.47 tff(397,plain,
% 0.20/0.47 (store(store(a_785, i1, e_788), i5, select(a_810, i5)) = store(store(a_785, i1, e_788), i5, select(store(a_785, i1, e_788), i5))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[396])).
% 0.20/0.47 tff(398,plain,
% 0.20/0.47 (store(store(a_785, i1, e_788), i5, select(store(a_785, i1, e_788), i5)) = store(store(a_785, i1, e_788), i5, select(a_810, i5))),
% 0.20/0.47 inference(symmetry,[status(thm)],[397])).
% 0.20/0.47 tff(399,plain,
% 0.20/0.47 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_785, i1, e_788), i5, select(store(a_785, i1, e_788), i5)) = store(a_785, i1, e_788))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(400,plain,
% 0.20/0.47 (store(store(a_785, i1, e_788), i5, select(store(a_785, i1, e_788), i5)) = store(a_785, i1, e_788)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[399, 90])).
% 0.20/0.47 tff(401,plain,
% 0.20/0.47 (store(a_785, i1, e_788) = store(store(a_785, i1, e_788), i5, select(store(a_785, i1, e_788), i5))),
% 0.20/0.47 inference(symmetry,[status(thm)],[400])).
% 0.20/0.47 tff(402,plain,
% 0.20/0.47 (select(store(a_783, i3, e_784), i2) = select(a_785, i2)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[16])).
% 0.20/0.47 tff(403,plain,
% 0.20/0.47 (select(a_785, i2) = select(store(a_783, i3, e_784), i2)),
% 0.20/0.47 inference(symmetry,[status(thm)],[402])).
% 0.20/0.47 tff(404,plain,
% 0.20/0.47 (e_788 = select(store(a_783, i3, e_784), i2)),
% 0.20/0.47 inference(transitivity,[status(thm)],[3, 403])).
% 0.20/0.47 tff(405,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(406,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(407,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[406, 405])).
% 0.20/0.47 tff(408,plain,
% 0.20/0.47 ((i5 = i2) | (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[407, 265])).
% 0.20/0.47 tff(409,plain,
% 0.20/0.47 (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[408, 258])).
% 0.20/0.47 tff(410,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(411,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(412,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.20/0.47 tff(413,plain,
% 0.20/0.47 ((i5 = i2) | (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[412, 265])).
% 0.20/0.47 tff(414,plain,
% 0.20/0.47 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[413, 258])).
% 0.20/0.47 tff(415,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(416,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(417,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.20/0.47 tff(418,plain,
% 0.20/0.47 (store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[417, 265, 258])).
% 0.20/0.47 tff(419,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(420,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i2) | (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(421,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i2) | (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[420, 419])).
% 0.20/0.48 tff(422,plain,
% 0.20/0.48 ((i5 = i2) | (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[421, 265])).
% 0.20/0.48 tff(423,plain,
% 0.20/0.48 (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[422, 258])).
% 0.20/0.48 tff(424,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i2) | (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i2) | (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(425,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i2) | (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(426,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i2) | (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.20/0.48 tff(427,plain,
% 0.20/0.48 ((i5 = i2) | (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[426, 298])).
% 0.20/0.48 tff(428,plain,
% 0.20/0.48 (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[427, 258])).
% 0.20/0.48 tff(429,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(430,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(431,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[430, 429])).
% 0.20/0.48 tff(432,plain,
% 0.20/0.48 ((i2 = i5) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[431, 298])).
% 0.20/0.48 tff(433,plain,
% 0.20/0.48 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[432, 292])).
% 0.20/0.48 tff(434,assumption,(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2))), introduced(assumption)).
% 0.20/0.48 tff(435,plain,
% 0.20/0.48 (store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[434])).
% 0.20/0.48 tff(436,plain,
% 0.20/0.48 (a_827 = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5))),
% 0.20/0.48 inference(transitivity,[status(thm)],[208, 277, 435])).
% 0.20/0.48 tff(437,plain,
% 0.20/0.48 (store(a_827, i2, e_828) = store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[436, 196])).
% 0.20/0.48 tff(438,plain,
% 0.20/0.48 (store(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)), i2, select(a_825, i5)) = store(a_827, i2, e_828)),
% 0.20/0.48 inference(symmetry,[status(thm)],[437])).
% 0.20/0.48 tff(439,assumption,(select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5)), introduced(assumption)).
% 0.20/0.48 tff(440,plain,
% 0.20/0.48 (select(a_825, i5) = select(a_821, i2)),
% 0.20/0.48 inference(transitivity,[status(thm)],[306, 439, 289, 285])).
% 0.20/0.48 tff(441,plain,
% 0.20/0.48 (store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[315, 440])).
% 0.20/0.48 tff(442,plain,
% 0.20/0.48 (store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_825, i5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[441])).
% 0.20/0.48 tff(443,assumption,(store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))), introduced(assumption)).
% 0.20/0.48 tff(444,plain,
% 0.20/0.48 (store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[443])).
% 0.20/0.48 tff(445,assumption,(store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2))), introduced(assumption)).
% 0.20/0.48 tff(446,plain,
% 0.20/0.48 (store(store(a_821, i5, e_822), i2, select(a_821, i2)) = store(a_821, i5, e_822)),
% 0.20/0.48 inference(transitivity,[status(thm)],[331, 445, 325])).
% 0.20/0.48 tff(447,plain,
% 0.20/0.48 (store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[446, 313])).
% 0.20/0.48 tff(448,plain,
% 0.20/0.48 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[447])).
% 0.20/0.48 tff(449,assumption,(~(i1 = i2)), introduced(assumption)).
% 0.20/0.48 tff(450,plain,
% 0.20/0.48 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i1 = i2) | (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i1 = i2) | (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(451,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i1 = i2) | (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(452,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i1 = i2) | (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.20/0.48 tff(453,plain,
% 0.20/0.48 ((i1 = i2) | (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[452, 265])).
% 0.20/0.48 tff(454,plain,
% 0.20/0.48 (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[453, 449])).
% 0.20/0.48 tff(455,plain,
% 0.20/0.48 (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[454])).
% 0.20/0.48 tff(456,plain,
% 0.20/0.48 (a_789 = a_810),
% 0.20/0.48 inference(transitivity,[status(thm)],[229, 226, 455, 223, 216])).
% 0.20/0.48 tff(457,plain,
% 0.20/0.48 (select(a_789, i5) = select(a_810, i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[456])).
% 0.20/0.48 tff(458,plain,
% 0.20/0.48 (select(a_789, i0) = select(a_789, i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[257])).
% 0.20/0.48 tff(459,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i5) = select(a_789, i0))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(460,plain,
% 0.20/0.48 (select(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i5) = select(a_789, i0)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[459, 29])).
% 0.20/0.48 tff(461,plain,
% 0.20/0.48 (select(a_789, i0) = e_792),
% 0.20/0.48 inference(symmetry,[status(thm)],[234])).
% 0.20/0.48 tff(462,plain,
% 0.20/0.48 (store(a_789, i0, e_790) = a_791),
% 0.20/0.48 inference(symmetry,[status(thm)],[245])).
% 0.20/0.48 tff(463,plain,
% 0.20/0.48 (store(store(a_789, i0, e_790), i5, select(a_789, i0)) = store(a_791, i5, e_792)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[462, 461])).
% 0.20/0.48 tff(464,plain,
% 0.20/0.48 (store(a_791, i5, e_792) = store(store(a_789, i0, e_790), i5, select(a_789, i0))),
% 0.20/0.48 inference(symmetry,[status(thm)],[463])).
% 0.20/0.48 tff(465,plain,
% 0.20/0.48 (a_793 = store(store(a_789, i0, e_790), i5, select(a_789, i0))),
% 0.20/0.48 inference(transitivity,[status(thm)],[103, 464])).
% 0.20/0.48 tff(466,plain,
% 0.20/0.48 (select(a_793, i5) = select(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[465])).
% 0.20/0.48 tff(467,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i2) = select(a_793, i5))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(468,plain,
% 0.20/0.48 (select(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i2) = select(a_793, i5)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[467, 29])).
% 0.20/0.48 tff(469,plain,
% 0.20/0.48 (select(store(a_793, i2, e_794), i2) = select(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[106])).
% 0.20/0.48 tff(470,assumption,(select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)), introduced(assumption)).
% 0.20/0.48 tff(471,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5) = select(a_793, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(472,plain,
% 0.20/0.48 (select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5) = select(a_793, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[471, 29])).
% 0.20/0.48 tff(473,plain,
% 0.20/0.48 (store(a_793, i2, e_794) = a_795),
% 0.20/0.48 inference(symmetry,[status(thm)],[109])).
% 0.20/0.48 tff(474,plain,
% 0.20/0.48 (store(store(a_793, i2, e_794), i5, select(a_793, i2)) = store(a_795, i5, e_796)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[473, 212])).
% 0.20/0.48 tff(475,plain,
% 0.20/0.48 (store(a_795, i5, e_796) = store(store(a_793, i2, e_794), i5, select(a_793, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[474])).
% 0.20/0.48 tff(476,plain,
% 0.20/0.48 (a_800 = store(store(a_793, i2, e_794), i5, select(a_793, i2))),
% 0.20/0.48 inference(transitivity,[status(thm)],[51, 67, 77, 61, 82, 92, 475])).
% 0.20/0.48 tff(477,plain,
% 0.20/0.48 (select(a_800, i5) = select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[476])).
% 0.20/0.48 tff(478,plain,
% 0.20/0.48 (select(a_800, i5) = e_796),
% 0.20/0.48 inference(transitivity,[status(thm)],[477, 472, 212])).
% 0.20/0.48 tff(479,plain,
% 0.20/0.48 (store(store(a_793, i2, e_794), i5, select(a_800, i5)) = store(a_795, i5, e_796)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[473, 478])).
% 0.20/0.48 tff(480,plain,
% 0.20/0.48 (store(a_795, i5, e_796) = store(store(a_793, i2, e_794), i5, select(a_800, i5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[479])).
% 0.20/0.48 tff(481,plain,
% 0.20/0.48 (a_800 = store(store(a_793, i2, e_794), i5, select(a_800, i5))),
% 0.20/0.48 inference(transitivity,[status(thm)],[51, 67, 77, 61, 82, 92, 480])).
% 0.20/0.48 tff(482,plain,
% 0.20/0.48 (select(a_800, i2) = select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[481])).
% 0.20/0.48 tff(483,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_799, i1, e_798), i5, select(a_800, i2)), i5) = select(a_800, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(484,plain,
% 0.20/0.48 (select(store(store(a_799, i1, e_798), i5, select(a_800, i2)), i5) = select(a_800, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[483, 29])).
% 0.20/0.48 tff(485,plain,
% 0.20/0.48 ((e_801 = select(a_800, i2)) <=> (e_801 = select(a_800, i2))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(486,axiom,(e_801 = select(a_800, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp35')).
% 0.20/0.48 tff(487,plain,
% 0.20/0.48 (e_801 = select(a_800, i2)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.20/0.48 tff(488,plain,
% 0.20/0.48 (select(a_800, i2) = e_801),
% 0.20/0.48 inference(symmetry,[status(thm)],[487])).
% 0.20/0.48 tff(489,plain,
% 0.20/0.48 (store(store(a_799, i1, e_798), i5, select(a_800, i2)) = store(a_800, i5, e_801)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[52, 488])).
% 0.20/0.48 tff(490,plain,
% 0.20/0.48 (store(a_800, i5, e_801) = store(store(a_799, i1, e_798), i5, select(a_800, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[489])).
% 0.20/0.48 tff(491,plain,
% 0.20/0.48 (select(store(a_800, i5, e_801), i5) = select(store(store(a_799, i1, e_798), i5, select(a_800, i2)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[490])).
% 0.20/0.48 tff(492,assumption,(select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)), introduced(assumption)).
% 0.20/0.48 tff(493,plain,
% 0.20/0.48 ((a_802 = store(a_800, i5, e_801)) <=> (a_802 = store(a_800, i5, e_801))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(494,axiom,(a_802 = store(a_800, i5, e_801)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp10')).
% 0.20/0.48 tff(495,plain,
% 0.20/0.48 (a_802 = store(a_800, i5, e_801)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.20/0.48 tff(496,plain,
% 0.20/0.48 (store(a_800, i5, e_801) = a_802),
% 0.20/0.48 inference(symmetry,[status(thm)],[495])).
% 0.20/0.48 tff(497,plain,
% 0.20/0.48 (store(store(a_800, i5, e_801), i2, select(a_800, i5)) = store(a_802, i2, e_803)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[496, 48])).
% 0.20/0.48 tff(498,plain,
% 0.20/0.48 (store(a_802, i2, e_803) = store(store(a_800, i5, e_801), i2, select(a_800, i5))),
% 0.20/0.48 inference(symmetry,[status(thm)],[497])).
% 0.20/0.48 tff(499,plain,
% 0.20/0.48 (a_804 = store(store(a_800, i5, e_801), i2, select(a_800, i5))),
% 0.20/0.48 inference(transitivity,[status(thm)],[43, 498])).
% 0.20/0.48 tff(500,plain,
% 0.20/0.48 (select(a_804, i5) = select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[499])).
% 0.20/0.48 tff(501,plain,
% 0.20/0.48 (e_807 = e_817),
% 0.20/0.48 inference(transitivity,[status(thm)],[39, 500, 492, 491, 484, 482, 470, 469, 468, 466, 460, 458, 457, 366, 363, 117])).
% 0.20/0.48 tff(502,plain,
% 0.20/0.48 (store(store(a_809, i2, e_786), i5, select(a_810, i0)) = store(a_810, i5, e_811)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[216, 377])).
% 0.20/0.48 tff(503,plain,
% 0.20/0.48 (store(a_810, i5, e_811) = store(store(a_809, i2, e_786), i5, select(a_810, i0))),
% 0.20/0.48 inference(symmetry,[status(thm)],[502])).
% 0.20/0.48 tff(504,plain,
% 0.20/0.48 (select(store(a_810, i5, e_811), i5) = select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[503])).
% 0.20/0.48 tff(505,plain,
% 0.20/0.48 (select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5) = select(store(a_810, i5, e_811), i5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[504])).
% 0.20/0.49 tff(506,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5) = select(a_810, i0))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(507,plain,
% 0.20/0.49 (select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5) = select(a_810, i0)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[506, 29])).
% 0.20/0.49 tff(508,plain,
% 0.20/0.49 (select(a_810, i0) = select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[507])).
% 0.20/0.49 tff(509,plain,
% 0.20/0.49 (select(a_810, i5) = select(a_810, i0)),
% 0.20/0.49 inference(symmetry,[status(thm)],[386])).
% 0.20/0.49 tff(510,plain,
% 0.20/0.49 (e_813 = select(store(a_810, i5, e_811), i5)),
% 0.20/0.49 inference(transitivity,[status(thm)],[355, 509, 508, 505])).
% 0.20/0.49 tff(511,plain,
% 0.20/0.49 (store(a_812, i0, e_813) = store(store(a_810, i5, e_811), i5, select(store(a_810, i5, e_811), i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[359, 257, 510])).
% 0.20/0.49 tff(512,plain,
% 0.20/0.49 (store(store(a_810, i5, e_811), i5, select(store(a_810, i5, e_811), i5)) = store(a_812, i0, e_813)),
% 0.20/0.49 inference(symmetry,[status(thm)],[511])).
% 0.20/0.49 tff(513,plain,
% 0.20/0.49 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_810, i5, e_811), i5, select(store(a_810, i5, e_811), i5)) = store(a_810, i5, e_811))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(514,plain,
% 0.20/0.49 (store(store(a_810, i5, e_811), i5, select(store(a_810, i5, e_811), i5)) = store(a_810, i5, e_811)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[513, 90])).
% 0.20/0.49 tff(515,plain,
% 0.20/0.49 (store(a_810, i5, e_811) = store(store(a_810, i5, e_811), i5, select(store(a_810, i5, e_811), i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[514])).
% 0.20/0.49 tff(516,plain,
% 0.20/0.49 (store(a_810, i5, e_811) = a_814),
% 0.20/0.49 inference(transitivity,[status(thm)],[515, 512, 129])).
% 0.20/0.49 tff(517,plain,
% 0.20/0.49 (store(store(a_810, i5, e_811), i5, select(a_814, i2)) = store(a_814, i5, e_815)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[516, 125])).
% 0.20/0.49 tff(518,plain,
% 0.20/0.49 (store(a_809, i2, e_786) = store(store(a_785, i1, e_788), i2, select(a_785, i1))),
% 0.20/0.49 inference(symmetry,[status(thm)],[378])).
% 0.20/0.49 tff(519,plain,
% 0.20/0.49 (a_814 = store(store(a_785, i1, e_788), i2, select(a_785, i1))),
% 0.20/0.49 inference(transitivity,[status(thm)],[128, 511, 514, 376, 368, 518])).
% 0.20/0.49 tff(520,plain,
% 0.20/0.49 (select(a_814, i2) = select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[519])).
% 0.20/0.49 tff(521,plain,
% 0.20/0.49 (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2) = select(a_814, i2)),
% 0.20/0.49 inference(symmetry,[status(thm)],[520])).
% 0.20/0.49 tff(522,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2) = select(a_785, i1))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(523,plain,
% 0.20/0.49 (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2) = select(a_785, i1)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[522, 29])).
% 0.20/0.49 tff(524,plain,
% 0.20/0.49 (select(a_785, i1) = select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2)),
% 0.20/0.49 inference(symmetry,[status(thm)],[523])).
% 0.20/0.49 tff(525,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(526,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(527,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[526, 525])).
% 0.20/0.49 tff(528,plain,
% 0.20/0.49 ((i1 = i2) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[527, 298])).
% 0.20/0.49 tff(529,plain,
% 0.20/0.49 (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2) = select(store(a_785, i2, e_786), i2)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[528, 449])).
% 0.20/0.49 tff(530,plain,
% 0.20/0.49 (store(store(a_785, i2, e_786), i1, select(a_785, i2)) = store(a_787, i1, e_788)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[8, 4])).
% 0.20/0.49 tff(531,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = store(store(a_785, i2, e_786), i1, select(a_785, i2))),
% 0.20/0.49 inference(symmetry,[status(thm)],[530])).
% 0.20/0.49 tff(532,plain,
% 0.20/0.49 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_787, i1, e_788), i5, select(store(a_787, i1, e_788), i5)) = store(a_787, i1, e_788))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(533,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i5, select(store(a_787, i1, e_788), i5)) = store(a_787, i1, e_788)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[532, 90])).
% 0.20/0.49 tff(534,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = a_789),
% 0.20/0.49 inference(symmetry,[status(thm)],[229])).
% 0.20/0.49 tff(535,plain,
% 0.20/0.49 (select(store(a_787, i1, e_788), i5) = select(a_789, i5)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[534])).
% 0.20/0.49 tff(536,plain,
% 0.20/0.49 (select(a_789, i5) = select(store(a_787, i1, e_788), i5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[535])).
% 0.20/0.49 tff(537,plain,
% 0.20/0.49 (e_790 = select(store(a_787, i1, e_788), i5)),
% 0.20/0.49 inference(transitivity,[status(thm)],[239, 536])).
% 0.20/0.49 tff(538,plain,
% 0.20/0.49 (store(a_789, i0, e_790) = store(store(a_787, i1, e_788), i5, select(store(a_787, i1, e_788), i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[229, 257, 537])).
% 0.20/0.49 tff(539,plain,
% 0.20/0.49 (store(a_789, i0, e_790) = store(store(a_785, i2, e_786), i1, select(a_785, i2))),
% 0.20/0.49 inference(transitivity,[status(thm)],[538, 533, 531])).
% 0.20/0.49 tff(540,plain,
% 0.20/0.49 (select(store(a_789, i0, e_790), i2) = select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[539])).
% 0.20/0.49 tff(541,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i5, select(store(a_787, i1, e_788), i5)) = store(a_789, i0, e_790)),
% 0.20/0.49 inference(symmetry,[status(thm)],[538])).
% 0.20/0.49 tff(542,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = store(store(a_787, i1, e_788), i5, select(store(a_787, i1, e_788), i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[533])).
% 0.20/0.49 tff(543,plain,
% 0.20/0.49 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_787, i1, e_788), i0, select(store(a_787, i1, e_788), i0)) = store(a_787, i1, e_788))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(544,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i0, select(store(a_787, i1, e_788), i0)) = store(a_787, i1, e_788)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[543, 90])).
% 0.20/0.49 tff(545,plain,
% 0.20/0.49 (select(store(a_787, i1, e_788), i0) = select(a_789, i0)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[534])).
% 0.20/0.49 tff(546,plain,
% 0.20/0.49 (select(a_789, i0) = select(store(a_787, i1, e_788), i0)),
% 0.20/0.49 inference(symmetry,[status(thm)],[545])).
% 0.20/0.49 tff(547,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i5, select(a_789, i0)) = store(store(a_787, i1, e_788), i0, select(store(a_787, i1, e_788), i0))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[375, 546])).
% 0.20/0.49 tff(548,plain,
% 0.20/0.49 (a_791 = store(a_787, i1, e_788)),
% 0.20/0.49 inference(transitivity,[status(thm)],[245, 538, 533])).
% 0.20/0.49 tff(549,plain,
% 0.20/0.49 (store(a_791, i5, e_792) = store(store(a_787, i1, e_788), i5, select(a_789, i0))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[548, 234])).
% 0.20/0.49 tff(550,plain,
% 0.20/0.49 (a_793 = store(a_789, i0, e_790)),
% 0.20/0.49 inference(transitivity,[status(thm)],[103, 549, 547, 544, 542, 541])).
% 0.20/0.49 tff(551,plain,
% 0.20/0.49 (select(a_793, i2) = select(store(a_789, i0, e_790), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[550])).
% 0.20/0.49 tff(552,plain,
% 0.20/0.49 (select(a_793, i2) = select(a_814, i2)),
% 0.20/0.49 inference(transitivity,[status(thm)],[551, 540, 529, 22, 31, 524, 521])).
% 0.20/0.49 tff(553,plain,
% 0.20/0.49 (store(store(a_809, i2, e_786), i0, select(store(a_809, i2, e_786), i0)) = store(a_810, i5, e_811)),
% 0.20/0.49 inference(symmetry,[status(thm)],[376])).
% 0.20/0.49 tff(554,plain,
% 0.20/0.49 (store(a_809, i2, e_786) = store(store(a_809, i2, e_786), i0, select(store(a_809, i2, e_786), i0))),
% 0.20/0.49 inference(symmetry,[status(thm)],[368])).
% 0.20/0.49 tff(555,plain,
% 0.20/0.49 (store(a_791, i5, e_792) = store(a_810, i5, e_811)),
% 0.20/0.49 inference(transitivity,[status(thm)],[549, 547, 544, 226, 455, 223, 554, 553])).
% 0.20/0.49 tff(556,plain,
% 0.20/0.49 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(store(a_810, i5, e_811), i5, select(a_814, i2))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[555, 552])).
% 0.20/0.49 tff(557,plain,
% 0.20/0.49 (select(a_800, i5) = select(a_793, i2)),
% 0.20/0.49 inference(transitivity,[status(thm)],[477, 472])).
% 0.20/0.49 tff(558,plain,
% 0.20/0.49 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2)) = store(a_791, i5, e_792))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(559,plain,
% 0.20/0.49 (store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2)) = store(a_791, i5, e_792)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[558, 90])).
% 0.20/0.49 tff(560,plain,
% 0.20/0.49 (select(store(a_791, i5, e_792), i2) = select(a_793, i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[104])).
% 0.20/0.49 tff(561,plain,
% 0.20/0.49 (select(a_793, i2) = select(store(a_791, i5, e_792), i2)),
% 0.20/0.49 inference(symmetry,[status(thm)],[560])).
% 0.20/0.49 tff(562,plain,
% 0.20/0.49 (select(a_800, i5) = select(store(a_791, i5, e_792), i2)),
% 0.20/0.49 inference(transitivity,[status(thm)],[477, 472, 561])).
% 0.20/0.49 tff(563,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i5, select(a_789, i0)) = store(a_791, i5, e_792)),
% 0.20/0.49 inference(symmetry,[status(thm)],[549])).
% 0.20/0.49 tff(564,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i0, select(store(a_787, i1, e_788), i0)) = store(store(a_787, i1, e_788), i5, select(a_789, i0))),
% 0.20/0.49 inference(symmetry,[status(thm)],[547])).
% 0.20/0.49 tff(565,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = store(store(a_787, i1, e_788), i0, select(store(a_787, i1, e_788), i0))),
% 0.20/0.49 inference(symmetry,[status(thm)],[544])).
% 0.20/0.49 tff(566,plain,
% 0.20/0.49 (store(a_789, i0, e_790) = store(a_791, i5, e_792)),
% 0.20/0.49 inference(transitivity,[status(thm)],[538, 533, 565, 564, 563])).
% 0.20/0.49 tff(567,plain,
% 0.20/0.49 (store(store(a_789, i0, e_790), i2, select(a_800, i5)) = store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[566, 562])).
% 0.20/0.49 tff(568,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = store(a_789, i0, e_790)),
% 0.20/0.49 inference(transitivity,[status(thm)],[542, 541])).
% 0.20/0.49 tff(569,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i2, select(a_800, i5)) = store(store(a_789, i0, e_790), i2, select(a_800, i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[568])).
% 0.20/0.49 tff(570,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i2, select(a_800, i5)) = store(a_791, i5, e_792)),
% 0.20/0.49 inference(transitivity,[status(thm)],[569, 567, 559])).
% 0.20/0.49 tff(571,plain,
% 0.20/0.49 (store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5)) = store(store(a_791, i5, e_792), i5, select(a_793, i2))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[570, 557])).
% 0.20/0.49 tff(572,assumption,(store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5))), introduced(assumption)).
% 0.20/0.49 tff(573,plain,
% 0.20/0.49 (store(a_787, i1, e_788) = store(a_791, i5, e_792)),
% 0.20/0.49 inference(transitivity,[status(thm)],[565, 564, 563])).
% 0.20/0.49 tff(574,plain,
% 0.20/0.49 (store(store(a_787, i1, e_788), i5, select(a_800, i5)) = store(store(a_791, i5, e_792), i5, select(a_793, i2))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[573, 557])).
% 0.20/0.49 tff(575,plain,
% 0.20/0.49 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(store(a_787, i1, e_788), i5, select(a_800, i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[574])).
% 0.20/0.49 tff(576,plain,
% 0.20/0.49 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[575])).
% 0.20/0.49 tff(577,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0)), i2, select(a_800, i5)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_800, i5)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(578,plain,
% 0.20/0.49 (store(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0)), i2, select(a_800, i5)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_800, i5))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[577, 75])).
% 0.20/0.49 tff(579,plain,
% 0.20/0.49 (select(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i5) = select(a_793, i5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[466])).
% 0.20/0.49 tff(580,plain,
% 0.20/0.49 (select(a_789, i0) = select(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[460])).
% 0.20/0.49 tff(581,plain,
% 0.20/0.49 (select(a_789, i0) = select(a_793, i5)),
% 0.20/0.49 inference(transitivity,[status(thm)],[580, 579])).
% 0.20/0.49 tff(582,plain,
% 0.20/0.49 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[581])).
% 0.20/0.49 tff(583,plain,
% 0.20/0.49 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0))),
% 0.20/0.49 inference(symmetry,[status(thm)],[582])).
% 0.20/0.49 tff(584,assumption,(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))), introduced(assumption)).
% 0.20/0.49 tff(585,plain,
% 0.20/0.49 (store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[584])).
% 0.20/0.49 tff(586,plain,
% 0.20/0.49 (store(store(a_791, i5, e_792), i2, select(a_793, i5)) = a_795),
% 0.20/0.49 inference(transitivity,[status(thm)],[105, 473])).
% 0.20/0.49 tff(587,plain,
% 0.20/0.49 (store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)) = store(a_795, i5, e_796)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[586, 212])).
% 0.20/0.49 tff(588,plain,
% 0.20/0.49 (store(a_795, i5, e_796) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))),
% 0.20/0.49 inference(symmetry,[status(thm)],[587])).
% 0.20/0.49 tff(589,plain,
% 0.20/0.49 (store(a_799, i1, e_798) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0))),
% 0.20/0.49 inference(transitivity,[status(thm)],[67, 77, 61, 82, 92, 588, 585, 583])).
% 0.20/0.49 tff(590,plain,
% 0.20/0.49 (store(store(a_799, i1, e_798), i2, select(a_800, i5)) = store(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0)), i2, select(a_800, i5))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[589])).
% 0.20/0.49 tff(591,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i2) = select(a_800, i5))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(592,plain,
% 0.20/0.49 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i2) = select(a_800, i5)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[591, 29])).
% 0.20/0.49 tff(593,plain,
% 0.20/0.49 (select(a_804, i2) = select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[499])).
% 0.20/0.49 tff(594,plain,
% 0.20/0.49 (select(a_804, i2) = e_796),
% 0.20/0.49 inference(transitivity,[status(thm)],[593, 592, 477, 472, 212])).
% 0.20/0.49 tff(595,plain,
% 0.20/0.49 (store(store(a_789, i0, e_790), i5, select(a_789, i0)) = a_793),
% 0.20/0.49 inference(transitivity,[status(thm)],[463, 104])).
% 0.20/0.49 tff(596,plain,
% 0.20/0.49 (store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(a_793, i2, e_794)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[595, 100])).
% 0.20/0.49 tff(597,assumption,(store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))), introduced(assumption)).
% 0.20/0.50 tff(598,plain,
% 0.20/0.50 (store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0)) = store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[597])).
% 0.20/0.50 tff(599,plain,
% 0.20/0.50 (store(a_793, i2, e_794) = store(store(a_789, i0, e_790), i2, select(a_793, i5))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[550, 99])).
% 0.20/0.50 tff(600,plain,
% 0.20/0.50 (select(a_789, i0) = e_794),
% 0.20/0.50 inference(transitivity,[status(thm)],[580, 579, 100])).
% 0.20/0.50 tff(601,plain,
% 0.20/0.50 (store(store(a_791, i5, e_792), i2, select(a_789, i0)) = store(a_793, i2, e_794)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[104, 600])).
% 0.20/0.50 tff(602,plain,
% 0.20/0.50 (store(store(a_791, i5, e_792), i2, select(a_789, i0)) = store(store(a_789, i0, e_790), i2, select(a_793, i5))),
% 0.20/0.50 inference(transitivity,[status(thm)],[601, 599])).
% 0.20/0.50 tff(603,plain,
% 0.20/0.50 (store(store(store(a_791, i5, e_792), i2, select(a_789, i0)), i5, select(a_789, i0)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[602])).
% 0.20/0.50 tff(604,plain,
% 0.20/0.50 (select(a_800, i2) = select(a_789, i0)),
% 0.20/0.50 inference(transitivity,[status(thm)],[482, 470, 469, 468, 466, 460])).
% 0.20/0.50 tff(605,plain,
% 0.20/0.50 (store(a_793, i2, e_794) = store(store(a_791, i5, e_792), i2, select(a_789, i0))),
% 0.20/0.50 inference(symmetry,[status(thm)],[601])).
% 0.20/0.50 tff(606,plain,
% 0.20/0.50 (store(store(a_793, i2, e_794), i5, select(a_800, i2)) = store(store(store(a_791, i5, e_792), i2, select(a_789, i0)), i5, select(a_789, i0))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[605, 604])).
% 0.20/0.50 tff(607,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i5, select(a_800, i2)) = store(store(a_793, i2, e_794), i5, select(a_800, i2)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(608,plain,
% 0.20/0.50 (store(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i5, select(a_800, i2)) = store(store(a_793, i2, e_794), i5, select(a_800, i2))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[607, 75])).
% 0.20/0.50 tff(609,plain,
% 0.20/0.50 (store(a_800, i5, e_801) = store(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i5, select(a_800, i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[481, 487])).
% 0.20/0.50 tff(610,plain,
% 0.20/0.50 (store(a_800, i5, e_801) = a_795),
% 0.20/0.50 inference(transitivity,[status(thm)],[609, 608, 606, 603, 598, 596, 473])).
% 0.20/0.50 tff(611,plain,
% 0.20/0.50 (store(store(a_800, i5, e_801), i5, select(a_804, i2)) = store(a_795, i5, e_796)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[610, 594])).
% 0.20/0.50 tff(612,plain,
% 0.20/0.50 (store(store(a_800, i5, e_801), i5, select(a_804, i2)) = store(a_799, i1, e_798)),
% 0.20/0.50 inference(transitivity,[status(thm)],[611, 93, 83, 62, 78, 68])).
% 0.20/0.50 tff(613,plain,
% 0.20/0.50 (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(a_799, i1, e_798), i2, select(a_800, i5))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[612])).
% 0.20/0.50 tff(614,assumption,(store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))), introduced(assumption)).
% 0.20/0.50 tff(615,plain,
% 0.20/0.50 (store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2)) = store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[614])).
% 0.20/0.50 tff(616,plain,
% 0.20/0.50 ((e_805 = select(a_804, i2)) <=> (e_805 = select(a_804, i2))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(617,axiom,(e_805 = select(a_804, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp37')).
% 0.20/0.50 tff(618,plain,
% 0.20/0.50 (e_805 = select(a_804, i2)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[617, 616])).
% 0.20/0.50 tff(619,plain,
% 0.20/0.50 (store(a_804, i5, e_805) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[499, 618])).
% 0.20/0.50 tff(620,plain,
% 0.20/0.50 ((a_806 = store(a_804, i5, e_805)) <=> (a_806 = store(a_804, i5, e_805))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(621,axiom,(a_806 = store(a_804, i5, e_805)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp12')).
% 0.20/0.50 tff(622,plain,
% 0.20/0.50 (a_806 = store(a_804, i5, e_805)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[621, 620])).
% 0.20/0.50 tff(623,plain,
% 0.20/0.50 (a_806 = a_816),
% 0.20/0.50 inference(transitivity,[status(thm)],[622, 619, 615, 613, 590, 578, 576, 572, 571, 556, 517, 121])).
% 0.20/0.50 tff(624,plain,
% 0.20/0.50 (store(a_806, i2, e_807) = store(a_816, i2, e_817)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[623, 501])).
% 0.20/0.50 tff(625,plain,
% 0.20/0.50 ((a_808 = store(a_806, i2, e_807)) <=> (a_808 = store(a_806, i2, e_807))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(626,axiom,(a_808 = store(a_806, i2, e_807)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp13')).
% 0.20/0.50 tff(627,plain,
% 0.20/0.50 (a_808 = store(a_806, i2, e_807)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[626, 625])).
% 0.20/0.50 tff(628,plain,
% 0.20/0.50 (a_808 = a_829),
% 0.20/0.50 inference(transitivity,[status(thm)],[627, 624, 352, 351, 345, 349, 348, 343, 342, 340, 337, 448, 444, 442, 283, 438, 36])).
% 0.20/0.50 tff(629,plain,
% 0.20/0.50 ((~(a_808 = a_829)) <=> (~(a_808 = a_829))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(630,axiom,(~(a_808 = a_829)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goal')).
% 0.20/0.50 tff(631,plain,
% 0.20/0.50 (~(a_808 = a_829)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[630, 629])).
% 0.20/0.50 tff(632,plain,
% 0.20/0.50 ($false),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[631, 628])).
% 0.20/0.50 tff(633,plain,((i1 = i2) | (~(store(store(store(a_821, i5, e_822), i5, select(a_821, i5)), i2, select(a_821, i2)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i2)), i5, select(a_821, i5)))) | (~(store(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i2, select(a_821, i2)) = store(store(store(a_820, i1, e_819), i2, select(a_821, i2)), i5, select(a_821, i2)))) | (~(select(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5) = select(store(a_821, i5, e_822), i5))) | (~(store(store(store(a_821, i5, e_822), i5, select(a_825, i2)), i2, select(a_821, i5)) = store(store(store(a_821, i5, e_822), i2, select(a_821, i5)), i5, select(a_825, i2)))) | (~(select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5))) | (~(select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2))) | (~(i0 = i5)) | (~(store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2)))) | (~(store(store(store(a_787, i1, e_788), i5, select(a_800, i5)), i2, select(a_800, i5)) = store(store(store(a_787, i1, e_788), i2, select(a_800, i5)), i5, select(a_800, i5)))) | (~(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)))) | (~(store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50 tff(634,plain,
% 0.20/0.50 (i1 = i2),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[633, 321, 330, 303, 270, 433, 428, 257, 423, 418, 414, 409])).
% 0.20/0.50 tff(635,plain,
% 0.20/0.50 (store(a_785, i1, e_788) = store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[15, 634, 404])).
% 0.20/0.50 tff(636,plain,
% 0.20/0.50 (store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2)) = store(a_785, i1, e_788)),
% 0.20/0.50 inference(symmetry,[status(thm)],[635])).
% 0.20/0.50 tff(637,plain,
% 0.20/0.50 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2)) = store(a_783, i3, e_784))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(638,plain,
% 0.20/0.50 (store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2)) = store(a_783, i3, e_784)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[637, 90])).
% 0.20/0.50 tff(639,plain,
% 0.20/0.50 (store(a_783, i3, e_784) = store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2))),
% 0.20/0.50 inference(symmetry,[status(thm)],[638])).
% 0.20/0.50 tff(640,plain,
% 0.20/0.50 (a_785 = store(store(a_785, i1, e_788), i5, select(a_810, i0))),
% 0.20/0.50 inference(transitivity,[status(thm)],[15, 639, 636, 401, 398, 388])).
% 0.20/0.50 tff(641,plain,
% 0.20/0.50 (store(a_785, i2, e_786) = store(store(store(a_785, i1, e_788), i5, select(a_810, i0)), i2, select(a_785, i1))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[640, 11])).
% 0.20/0.50 tff(642,plain,
% 0.20/0.50 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2)) = store(a_785, i2, e_786))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(643,plain,
% 0.20/0.50 (store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2)) = store(a_785, i2, e_786)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[642, 90])).
% 0.20/0.50 tff(644,plain,
% 0.20/0.50 (i2 = i1),
% 0.20/0.50 inference(symmetry,[status(thm)],[634])).
% 0.20/0.50 tff(645,plain,
% 0.20/0.50 (select(a_785, i2) = select(a_785, i1)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[644])).
% 0.20/0.50 tff(646,plain,
% 0.20/0.50 (e_788 = select(store(a_785, i2, e_786), i2)),
% 0.20/0.50 inference(transitivity,[status(thm)],[3, 645, 32, 23])).
% 0.20/0.50 tff(647,plain,
% 0.20/0.50 (store(a_787, i1, e_788) = store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[7, 634, 646])).
% 0.20/0.50 tff(648,plain,
% 0.20/0.50 (a_789 = a_810),
% 0.20/0.50 inference(transitivity,[status(thm)],[229, 647, 643, 641, 385, 380, 376, 368, 216])).
% 0.20/0.50 tff(649,plain,
% 0.20/0.50 (select(a_789, i5) = select(a_810, i5)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[648])).
% 0.20/0.50 tff(650,plain,
% 0.20/0.50 (e_807 = e_817),
% 0.20/0.50 inference(transitivity,[status(thm)],[39, 500, 433, 491, 484, 482, 428, 469, 468, 466, 460, 458, 649, 366, 363, 117])).
% 0.20/0.50 tff(651,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i1) = select(a_785, i2))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(652,plain,
% 0.20/0.50 (select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i1) = select(a_785, i2)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[651, 29])).
% 0.20/0.50 tff(653,plain,
% 0.20/0.50 (select(store(a_789, i0, e_790), i2) = select(store(store(a_785, i2, e_786), i1, select(a_785, i2)), i1)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[539, 644])).
% 0.20/0.50 tff(654,plain,
% 0.20/0.50 (select(a_793, i2) = select(a_814, i2)),
% 0.20/0.50 inference(transitivity,[status(thm)],[551, 653, 652, 645, 524, 521])).
% 0.20/0.50 tff(655,plain,
% 0.20/0.50 (store(a_791, i5, e_792) = store(a_810, i5, e_811)),
% 0.20/0.50 inference(transitivity,[status(thm)],[549, 547, 544, 647, 643, 641, 385, 380])).
% 0.20/0.50 tff(656,plain,
% 0.20/0.50 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(store(a_810, i5, e_811), i5, select(a_814, i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[655, 654])).
% 0.20/0.50 tff(657,plain,
% 0.20/0.50 (store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2)) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[414])).
% 0.20/0.50 tff(658,plain,
% 0.20/0.50 (store(a_799, i1, e_798) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0))),
% 0.20/0.50 inference(transitivity,[status(thm)],[67, 77, 61, 82, 92, 588, 657, 583])).
% 0.20/0.50 tff(659,plain,
% 0.20/0.50 (store(store(a_799, i1, e_798), i2, select(a_800, i5)) = store(store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_789, i0)), i2, select(a_800, i5))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[658])).
% 0.20/0.50 tff(660,plain,
% 0.20/0.50 (store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0)) = store(store(store(a_789, i0, e_790), i5, select(a_789, i0)), i2, select(a_793, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[409])).
% 0.20/0.50 tff(661,plain,
% 0.20/0.50 (store(a_789, i0, e_790) = a_793),
% 0.20/0.50 inference(transitivity,[status(thm)],[538, 533, 565, 564, 563, 104])).
% 0.20/0.50 tff(662,plain,
% 0.20/0.50 (store(store(a_789, i0, e_790), i2, select(a_793, i5)) = store(a_793, i2, e_794)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[661, 100])).
% 0.20/0.50 tff(663,plain,
% 0.20/0.50 (store(a_793, i2, e_794) = store(store(a_789, i0, e_790), i2, select(a_793, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[662])).
% 0.20/0.50 tff(664,plain,
% 0.20/0.50 (store(store(a_791, i5, e_792), i2, select(a_789, i0)) = store(store(a_789, i0, e_790), i2, select(a_793, i5))),
% 0.20/0.50 inference(transitivity,[status(thm)],[601, 663])).
% 0.20/0.50 tff(665,plain,
% 0.20/0.50 (store(store(store(a_791, i5, e_792), i2, select(a_789, i0)), i5, select(a_789, i0)) = store(store(store(a_789, i0, e_790), i2, select(a_793, i5)), i5, select(a_789, i0))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[664])).
% 0.20/0.50 tff(666,plain,
% 0.20/0.50 (select(a_800, i2) = select(a_789, i0)),
% 0.20/0.50 inference(transitivity,[status(thm)],[482, 428, 469, 468, 466, 460])).
% 0.20/0.50 tff(667,plain,
% 0.20/0.50 (store(store(a_793, i2, e_794), i5, select(a_800, i2)) = store(store(store(a_791, i5, e_792), i2, select(a_789, i0)), i5, select(a_789, i0))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[605, 666])).
% 0.20/0.50 tff(668,plain,
% 0.20/0.50 (store(a_800, i5, e_801) = a_795),
% 0.20/0.50 inference(transitivity,[status(thm)],[609, 608, 667, 665, 660, 596, 473])).
% 0.20/0.50 tff(669,plain,
% 0.20/0.50 (store(store(a_800, i5, e_801), i5, select(a_804, i2)) = store(a_795, i5, e_796)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[668, 594])).
% 0.20/0.50 tff(670,plain,
% 0.20/0.50 (store(store(a_800, i5, e_801), i5, select(a_804, i2)) = store(a_799, i1, e_798)),
% 0.20/0.50 inference(transitivity,[status(thm)],[669, 93, 83, 62, 78, 68])).
% 0.20/0.50 tff(671,plain,
% 0.20/0.50 (store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5)) = store(store(a_799, i1, e_798), i2, select(a_800, i5))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[670])).
% 0.20/0.50 tff(672,plain,
% 0.20/0.50 (store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_804, i2)) = store(store(store(a_800, i5, e_801), i5, select(a_804, i2)), i2, select(a_800, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[423])).
% 0.20/0.50 tff(673,plain,
% 0.20/0.50 (a_806 = a_816),
% 0.20/0.50 inference(transitivity,[status(thm)],[622, 619, 672, 671, 659, 578, 576, 418, 571, 656, 517, 121])).
% 0.20/0.50 tff(674,plain,
% 0.20/0.50 (store(a_806, i2, e_807) = store(a_816, i2, e_817)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[673, 650])).
% 0.20/0.50 tff(675,plain,
% 0.20/0.50 (a_808 = a_829),
% 0.20/0.50 inference(transitivity,[status(thm)],[627, 674, 352, 351, 345, 349, 348, 343, 342, 340, 337, 334, 322, 317, 283, 280, 36])).
% 0.20/0.50 tff(676,plain,
% 0.20/0.50 ($false),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[631, 675])).
% 0.20/0.50 tff(677,plain,((i5 = i2) | (~(i0 = i5))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50 tff(678,plain,
% 0.20/0.50 (i5 = i2),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[677, 257])).
% 0.20/0.50 tff(679,plain,
% 0.20/0.50 (select(a_825, i5) = select(a_825, i2)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[678])).
% 0.20/0.50 tff(680,plain,
% 0.20/0.50 (e_828 = select(store(a_825, i5, e_826), i5)),
% 0.20/0.50 inference(transitivity,[status(thm)],[196, 679, 256, 253])).
% 0.20/0.50 tff(681,plain,
% 0.20/0.50 (i2 = i5),
% 0.20/0.50 inference(symmetry,[status(thm)],[678])).
% 0.20/0.50 tff(682,plain,
% 0.20/0.50 (store(a_827, i2, e_828) = store(store(a_825, i5, e_826), i5, select(store(a_825, i5, e_826), i5))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[208, 681, 680])).
% 0.20/0.50 tff(683,plain,
% 0.20/0.50 (store(store(a_825, i5, e_826), i5, select(store(a_825, i5, e_826), i5)) = store(a_827, i2, e_828)),
% 0.20/0.50 inference(symmetry,[status(thm)],[682])).
% 0.20/0.50 tff(684,plain,
% 0.20/0.50 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_825, i5, e_826), i5, select(store(a_825, i5, e_826), i5)) = store(a_825, i5, e_826))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(685,plain,
% 0.20/0.50 (store(store(a_825, i5, e_826), i5, select(store(a_825, i5, e_826), i5)) = store(a_825, i5, e_826)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[684, 90])).
% 0.20/0.50 tff(686,plain,
% 0.20/0.50 (store(a_825, i5, e_826) = store(store(a_825, i5, e_826), i5, select(store(a_825, i5, e_826), i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[685])).
% 0.20/0.50 tff(687,plain,
% 0.20/0.50 (store(a_825, i5, e_826) = store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[189, 678, 204])).
% 0.20/0.50 tff(688,plain,
% 0.20/0.50 (store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2)) = store(a_825, i5, e_826)),
% 0.20/0.50 inference(symmetry,[status(thm)],[687])).
% 0.20/0.50 tff(689,plain,
% 0.20/0.50 (store(a_823, i2, e_824) = store(store(a_823, i2, e_824), i2, select(store(a_823, i2, e_824), i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[198])).
% 0.20/0.51 tff(690,plain,
% 0.20/0.51 (e_824 = select(a_825, i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[170, 312, 309])).
% 0.20/0.51 tff(691,plain,
% 0.20/0.51 (store(a_823, i2, e_824) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[182, 681, 690])).
% 0.20/0.51 tff(692,plain,
% 0.20/0.51 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(a_823, i2, e_824)),
% 0.20/0.51 inference(symmetry,[status(thm)],[691])).
% 0.20/0.51 tff(693,plain,
% 0.20/0.51 (select(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5) = select(store(a_821, i5, e_822), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[289])).
% 0.20/0.51 tff(694,plain,
% 0.20/0.51 (select(a_821, i2) = select(store(store(a_820, i1, e_819), i5, select(a_821, i2)), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[285])).
% 0.20/0.51 tff(695,plain,
% 0.20/0.51 (select(a_821, i5) = select(a_821, i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[678])).
% 0.20/0.51 tff(696,plain,
% 0.20/0.51 (select(a_825, i2) = select(store(a_821, i5, e_822), i5)),
% 0.20/0.51 inference(transitivity,[status(thm)],[308, 311, 695, 694, 693])).
% 0.20/0.51 tff(697,plain,
% 0.20/0.51 (store(store(a_821, i5, e_822), i5, select(a_825, i2)) = store(store(a_821, i5, e_822), i5, select(store(a_821, i5, e_822), i5))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[696])).
% 0.20/0.51 tff(698,plain,
% 0.20/0.51 (store(store(a_821, i5, e_822), i5, select(store(a_821, i5, e_822), i5)) = store(store(a_821, i5, e_822), i5, select(a_825, i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[697])).
% 0.20/0.51 tff(699,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_821, i5, e_822), i5, select(store(a_821, i5, e_822), i5)) = store(a_821, i5, e_822))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(700,plain,
% 0.20/0.51 (store(store(a_821, i5, e_822), i5, select(store(a_821, i5, e_822), i5)) = store(a_821, i5, e_822)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[699, 90])).
% 0.20/0.51 tff(701,plain,
% 0.20/0.51 (store(a_821, i5, e_822) = store(store(a_821, i5, e_822), i5, select(store(a_821, i5, e_822), i5))),
% 0.20/0.51 inference(symmetry,[status(thm)],[700])).
% 0.20/0.51 tff(702,plain,
% 0.20/0.51 (store(a_821, i5, e_822) = store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[161, 678, 178])).
% 0.20/0.51 tff(703,plain,
% 0.20/0.51 (store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2)) = store(a_821, i5, e_822)),
% 0.20/0.51 inference(symmetry,[status(thm)],[702])).
% 0.20/0.51 tff(704,plain,
% 0.20/0.51 (store(a_820, i1, e_819) = store(store(a_820, i1, e_819), i2, select(store(a_820, i1, e_819), i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[172])).
% 0.20/0.51 tff(705,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_814, i5, e_815), i2, select(a_814, i5)), i2) = select(a_814, i5))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(706,plain,
% 0.20/0.51 (select(store(store(a_814, i5, e_815), i2, select(a_814, i5)), i2) = select(a_814, i5)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[705, 29])).
% 0.20/0.51 tff(707,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i2, select(a_814, i5)) = store(a_816, i2, e_817)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[121, 117])).
% 0.20/0.51 tff(708,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i2, select(a_814, i5)) = a_821),
% 0.20/0.51 inference(transitivity,[status(thm)],[707, 352, 351, 345, 349, 348, 162])).
% 0.20/0.51 tff(709,plain,
% 0.20/0.51 (select(store(store(a_814, i5, e_815), i2, select(a_814, i5)), i2) = select(a_821, i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[708])).
% 0.20/0.51 tff(710,plain,
% 0.20/0.51 (select(a_821, i2) = select(store(store(a_814, i5, e_815), i2, select(a_814, i5)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[709])).
% 0.20/0.51 tff(711,plain,
% 0.20/0.51 (select(a_821, i2) = e_817),
% 0.20/0.51 inference(transitivity,[status(thm)],[710, 706, 117])).
% 0.20/0.51 tff(712,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i5, select(a_821, i2)) = store(a_816, i2, e_817)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[121, 678, 711])).
% 0.20/0.51 tff(713,plain,
% 0.20/0.51 (select(a_814, i5) = select(store(store(a_814, i5, e_815), i2, select(a_814, i5)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[706])).
% 0.20/0.51 tff(714,plain,
% 0.20/0.51 (select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2) = select(a_810, i5)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[379, 681])).
% 0.20/0.51 tff(715,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i5) = select(a_814, i2))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(716,plain,
% 0.20/0.51 (select(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i5) = select(a_814, i2)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[715, 29])).
% 0.20/0.51 tff(717,plain,
% 0.20/0.51 (store(a_814, i5, e_815) = store(store(a_812, i0, e_813), i5, select(a_814, i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[130])).
% 0.20/0.51 tff(718,plain,
% 0.20/0.51 (select(store(a_814, i5, e_815), i5) = select(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i5)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[717])).
% 0.20/0.51 tff(719,plain,
% 0.20/0.51 (select(store(a_814, i5, e_815), i5) = select(a_821, i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[718, 716, 520, 714, 366, 363, 713, 709])).
% 0.20/0.51 tff(720,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5)) = store(store(a_814, i5, e_815), i5, select(a_821, i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[719])).
% 0.20/0.51 tff(721,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5)) = store(a_814, i5, e_815))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(722,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5)) = store(a_814, i5, e_815)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[721, 90])).
% 0.20/0.51 tff(723,plain,
% 0.20/0.51 (store(a_814, i5, e_815) = store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5))),
% 0.20/0.51 inference(symmetry,[status(thm)],[722])).
% 0.20/0.51 tff(724,plain,
% 0.20/0.51 (select(store(a_809, i2, e_786), i2) = select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[518])).
% 0.20/0.51 tff(725,plain,
% 0.20/0.51 (select(store(a_809, i2, e_786), i2) = select(a_814, i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[724, 521])).
% 0.20/0.51 tff(726,plain,
% 0.20/0.51 (store(a_809, i2, e_786) = store(a_810, i5, e_811)),
% 0.20/0.51 inference(transitivity,[status(thm)],[554, 553])).
% 0.20/0.51 tff(727,plain,
% 0.20/0.51 (store(store(a_809, i2, e_786), i2, select(store(a_809, i2, e_786), i2)) = store(store(a_810, i5, e_811), i5, select(a_814, i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[726, 681, 725])).
% 0.20/0.51 tff(728,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_809, i2, e_786), i2, select(store(a_809, i2, e_786), i2)) = store(a_809, i2, e_786))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(729,plain,
% 0.20/0.51 (store(store(a_809, i2, e_786), i2, select(store(a_809, i2, e_786), i2)) = store(a_809, i2, e_786)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[728, 90])).
% 0.20/0.51 tff(730,plain,
% 0.20/0.51 (store(a_809, i2, e_786) = store(store(a_809, i2, e_786), i2, select(store(a_809, i2, e_786), i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[729])).
% 0.20/0.51 tff(731,plain,
% 0.20/0.51 (store(store(a_785, i1, e_788), i5, select(a_785, i1)) = store(a_809, i2, e_786)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[220, 678, 12])).
% 0.20/0.51 tff(732,plain,
% 0.20/0.51 (select(a_810, i5) = select(store(store(a_785, i1, e_788), i2, select(a_785, i1)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[714])).
% 0.20/0.51 tff(733,plain,
% 0.20/0.51 (select(a_810, i5) = select(a_785, i1)),
% 0.20/0.51 inference(transitivity,[status(thm)],[732, 523])).
% 0.20/0.51 tff(734,plain,
% 0.20/0.51 (store(store(a_785, i1, e_788), i5, select(a_810, i5)) = store(store(a_785, i1, e_788), i5, select(a_785, i1))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[733])).
% 0.20/0.51 tff(735,plain,
% 0.20/0.51 (e_786 = select(a_810, i5)),
% 0.20/0.51 inference(transitivity,[status(thm)],[11, 524, 714])).
% 0.20/0.51 tff(736,plain,
% 0.20/0.51 ((store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))) <=> (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)))),
% 0.20/0.51 inference(commutativity,[status(thm)],[])).
% 0.20/0.51 tff(737,plain,
% 0.20/0.51 ((store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))) <=> (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.51 inference(symmetry,[status(thm)],[736])).
% 0.20/0.51 tff(738,plain,
% 0.20/0.51 (store(a_809, i2, e_786) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))),
% 0.20/0.51 inference(symmetry,[status(thm)],[223])).
% 0.20/0.51 tff(739,plain,
% 0.20/0.51 (store(store(a_810, i5, e_811), i5, select(a_814, i2)) = store(store(a_809, i2, e_786), i2, select(store(a_809, i2, e_786), i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[727])).
% 0.20/0.51 tff(740,plain,
% 0.20/0.51 (store(a_814, i5, e_815) = store(store(a_810, i5, e_811), i5, select(a_814, i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[517])).
% 0.20/0.51 tff(741,plain,
% 0.20/0.51 (store(store(a_814, i5, e_815), i5, select(a_821, i2)) = store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5))),
% 0.20/0.51 inference(symmetry,[status(thm)],[720])).
% 0.20/0.51 tff(742,plain,
% 0.20/0.51 (store(a_816, i2, e_817) = store(store(a_814, i5, e_815), i5, select(a_821, i2))),
% 0.20/0.51 inference(symmetry,[status(thm)],[712])).
% 0.20/0.51 tff(743,plain,
% 0.20/0.51 (store(a_818, i1, e_819) = store(store(a_816, i2, e_817), i1, select(store(a_816, i2, e_817), i1))),
% 0.20/0.51 inference(symmetry,[status(thm)],[351])).
% 0.20/0.51 tff(744,plain,
% 0.20/0.51 (store(a_820, i1, e_819) = store(store(store(a_816, i2, e_817), i1, select(a_818, i1)), i1, select(a_818, i1))),
% 0.20/0.51 inference(symmetry,[status(thm)],[348])).
% 0.20/0.51 tff(745,plain,
% 0.20/0.51 (a_829 = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))),
% 0.20/0.51 inference(transitivity,[status(thm)],[35, 682, 685, 687, 198, 691, 697, 700, 702, 172, 744, 150, 346, 743, 135, 742, 741, 722, 740, 739, 729, 738])).
% 0.20/0.51 tff(746,plain,
% 0.20/0.51 (store(store(a_793, i2, e_794), i5, select(a_793, i2)) = a_800),
% 0.20/0.51 inference(transitivity,[status(thm)],[474, 93, 83, 62, 78, 68, 52])).
% 0.20/0.51 tff(747,plain,
% 0.20/0.51 (select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5) = select(a_800, i5)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[746])).
% 0.20/0.51 tff(748,plain,
% 0.20/0.51 (select(a_800, i5) = select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[747])).
% 0.20/0.51 tff(749,plain,
% 0.20/0.51 (select(a_800, i5) = select(store(a_791, i5, e_792), i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[748, 472, 561])).
% 0.20/0.51 tff(750,plain,
% 0.20/0.51 (store(store(a_789, i0, e_790), i2, select(a_800, i5)) = store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[566, 749])).
% 0.20/0.51 tff(751,plain,
% 0.20/0.51 (select(a_793, i2) = select(store(store(a_793, i2, e_794), i5, select(a_793, i2)), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[472])).
% 0.20/0.51 tff(752,plain,
% 0.20/0.51 (select(a_793, i2) = select(a_800, i5)),
% 0.20/0.51 inference(transitivity,[status(thm)],[751, 747])).
% 0.20/0.51 tff(753,plain,
% 0.20/0.51 (store(a_791, i5, e_792) = store(a_789, i0, e_790)),
% 0.20/0.51 inference(transitivity,[status(thm)],[549, 547, 544, 542, 541])).
% 0.20/0.51 tff(754,plain,
% 0.20/0.51 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(store(a_789, i0, e_790), i2, select(a_800, i5))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[753, 678, 752])).
% 0.20/0.51 tff(755,plain,
% 0.20/0.51 (select(a_793, i5) = select(a_789, i0)),
% 0.20/0.51 inference(transitivity,[status(thm)],[466, 460])).
% 0.20/0.51 tff(756,plain,
% 0.20/0.51 (store(a_789, i0, e_790) = store(a_787, i1, e_788)),
% 0.20/0.51 inference(transitivity,[status(thm)],[538, 533])).
% 0.20/0.51 tff(757,plain,
% 0.20/0.51 (store(store(a_789, i0, e_790), i2, select(a_793, i5)) = store(store(a_787, i1, e_788), i5, select(a_789, i0))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[756, 681, 755])).
% 0.20/0.51 tff(758,plain,
% 0.20/0.51 (a_795 = store(a_791, i5, e_792)),
% 0.20/0.51 inference(transitivity,[status(thm)],[109, 599, 757, 563])).
% 0.20/0.51 tff(759,plain,
% 0.20/0.51 (store(a_795, i5, e_796) = store(store(a_791, i5, e_792), i5, select(a_793, i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[758, 96])).
% 0.20/0.51 tff(760,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_799, i1, e_798), i2, select(store(a_799, i1, e_798), i2)) = store(a_799, i1, e_798))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(761,plain,
% 0.20/0.51 (store(store(a_799, i1, e_798), i2, select(store(a_799, i1, e_798), i2)) = store(a_799, i1, e_798)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[760, 90])).
% 0.20/0.51 tff(762,plain,
% 0.20/0.51 (select(store(a_799, i1, e_798), i2) = select(a_800, i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[52])).
% 0.20/0.51 tff(763,plain,
% 0.20/0.51 (select(a_800, i2) = select(store(a_799, i1, e_798), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[762])).
% 0.20/0.51 tff(764,plain,
% 0.20/0.51 (e_801 = select(store(a_799, i1, e_798), i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[487, 763])).
% 0.20/0.51 tff(765,plain,
% 0.20/0.51 (store(a_800, i5, e_801) = store(store(a_799, i1, e_798), i2, select(store(a_799, i1, e_798), i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[51, 678, 764])).
% 0.20/0.51 tff(766,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_800, i5, e_801), i5, select(store(a_800, i5, e_801), i5)) = store(a_800, i5, e_801))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(767,plain,
% 0.20/0.51 (store(store(a_800, i5, e_801), i5, select(store(a_800, i5, e_801), i5)) = store(a_800, i5, e_801)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[766, 90])).
% 0.20/0.51 tff(768,plain,
% 0.20/0.51 (select(store(store(a_799, i1, e_798), i5, select(a_800, i2)), i5) = select(store(a_800, i5, e_801), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[491])).
% 0.20/0.51 tff(769,plain,
% 0.20/0.51 (select(a_800, i2) = select(store(store(a_799, i1, e_798), i5, select(a_800, i2)), i5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[484])).
% 0.20/0.51 tff(770,plain,
% 0.20/0.51 (select(a_800, i2) = select(a_800, i5)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[681])).
% 0.20/0.51 tff(771,plain,
% 0.20/0.51 (select(a_800, i5) = select(a_800, i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[770])).
% 0.20/0.51 tff(772,plain,
% 0.20/0.51 (select(a_804, i2) = select(store(a_800, i5, e_801), i5)),
% 0.20/0.51 inference(transitivity,[status(thm)],[593, 592, 771, 769, 768])).
% 0.20/0.51 tff(773,plain,
% 0.20/0.51 (store(store(a_800, i5, e_801), i5, select(a_804, i2)) = store(store(a_800, i5, e_801), i5, select(store(a_800, i5, e_801), i5))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[772])).
% 0.20/0.51 tff(774,plain,
% 0.20/0.51 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i2) = select(a_804, i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[593])).
% 0.20/0.51 tff(775,plain,
% 0.20/0.51 (select(a_800, i5) = select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[592])).
% 0.20/0.51 tff(776,plain,
% 0.20/0.51 (e_803 = select(a_804, i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[47, 775, 774])).
% 0.20/0.51 tff(777,plain,
% 0.20/0.51 (store(a_802, i2, e_803) = store(store(a_800, i5, e_801), i5, select(a_804, i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[495, 681, 776])).
% 0.20/0.51 tff(778,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_802, i2, e_803), i2, select(store(a_802, i2, e_803), i2)) = store(a_802, i2, e_803))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(779,plain,
% 0.20/0.51 (store(store(a_802, i2, e_803), i2, select(store(a_802, i2, e_803), i2)) = store(a_802, i2, e_803)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[778, 90])).
% 0.20/0.51 tff(780,plain,
% 0.20/0.51 (select(store(a_802, i2, e_803), i2) = select(a_804, i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[44])).
% 0.20/0.51 tff(781,plain,
% 0.20/0.51 (select(a_804, i2) = select(store(a_802, i2, e_803), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[780])).
% 0.20/0.51 tff(782,plain,
% 0.20/0.51 (e_805 = select(store(a_802, i2, e_803), i2)),
% 0.20/0.51 inference(transitivity,[status(thm)],[618, 781])).
% 0.20/0.51 tff(783,plain,
% 0.20/0.51 (store(a_804, i5, e_805) = store(store(a_802, i2, e_803), i2, select(store(a_802, i2, e_803), i2))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[43, 678, 782])).
% 0.20/0.51 tff(784,plain,
% 0.20/0.51 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_804, i5, e_805), i5, select(store(a_804, i5, e_805), i5)) = store(a_804, i5, e_805))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(785,plain,
% 0.20/0.51 (store(store(a_804, i5, e_805), i5, select(store(a_804, i5, e_805), i5)) = store(a_804, i5, e_805)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[784, 90])).
% 0.20/0.51 tff(786,plain,
% 0.20/0.51 (select(a_804, i2) = e_805),
% 0.20/0.51 inference(symmetry,[status(thm)],[618])).
% 0.20/0.52 tff(787,plain,
% 0.20/0.52 (store(store(a_802, i2, e_803), i5, select(a_804, i2)) = store(a_804, i5, e_805)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[44, 786])).
% 0.20/0.52 tff(788,plain,
% 0.20/0.52 (store(a_804, i5, e_805) = store(store(a_802, i2, e_803), i5, select(a_804, i2))),
% 0.20/0.52 inference(symmetry,[status(thm)],[787])).
% 0.20/0.52 tff(789,plain,
% 0.20/0.52 (select(store(a_804, i5, e_805), i5) = select(store(store(a_802, i2, e_803), i5, select(a_804, i2)), i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[788])).
% 0.20/0.52 tff(790,plain,
% 0.20/0.52 (select(store(store(a_802, i2, e_803), i5, select(a_804, i2)), i5) = select(store(a_804, i5, e_805), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[789])).
% 0.20/0.52 tff(791,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_802, i2, e_803), i5, select(a_804, i2)), i5) = select(a_804, i2))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(792,plain,
% 0.20/0.52 (select(store(store(a_802, i2, e_803), i5, select(a_804, i2)), i5) = select(a_804, i2)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[791, 29])).
% 0.20/0.52 tff(793,plain,
% 0.20/0.52 (select(a_804, i2) = select(store(store(a_802, i2, e_803), i5, select(a_804, i2)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[792])).
% 0.20/0.52 tff(794,plain,
% 0.20/0.52 (select(a_804, i5) = select(a_804, i2)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[678])).
% 0.20/0.52 tff(795,plain,
% 0.20/0.52 (e_807 = select(store(a_804, i5, e_805), i5)),
% 0.20/0.52 inference(transitivity,[status(thm)],[39, 794, 793, 790])).
% 0.20/0.52 tff(796,plain,
% 0.20/0.52 (store(a_806, i2, e_807) = store(store(a_804, i5, e_805), i5, select(store(a_804, i5, e_805), i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[622, 681, 795])).
% 0.20/0.52 tff(797,plain,
% 0.20/0.52 (a_808 = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))),
% 0.20/0.52 inference(transitivity,[status(thm)],[627, 796, 785, 783, 779, 777, 773, 767, 765, 761, 67, 77, 61, 82, 92, 759, 754, 750, 559, 549, 547, 544, 20])).
% 0.20/0.52 tff(798,plain,
% 0.20/0.52 ((a_808 = a_829) <=> (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[797, 745])).
% 0.20/0.52 tff(799,plain,
% 0.20/0.52 ((a_808 = a_829) <=> (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)))),
% 0.20/0.52 inference(transitivity,[status(thm)],[798, 736])).
% 0.20/0.52 tff(800,plain,
% 0.20/0.52 ((a_808 = a_829) <=> (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.52 inference(transitivity,[status(thm)],[799, 737])).
% 0.20/0.52 tff(801,plain,
% 0.20/0.52 ((~(a_808 = a_829)) <=> (~(store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[800])).
% 0.20/0.52 tff(802,plain,
% 0.20/0.52 (~(store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[631, 801])).
% 0.20/0.52 tff(803,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(804,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(805,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[804, 803])).
% 0.20/0.52 tff(806,plain,
% 0.20/0.52 ((i2 = i1) | (store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)) = store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[805, 265])).
% 0.20/0.52 tff(807,plain,
% 0.20/0.52 (i2 = i1),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[806, 802])).
% 0.20/0.52 tff(808,plain,
% 0.20/0.52 (i1 = i2),
% 0.20/0.52 inference(symmetry,[status(thm)],[807])).
% 0.20/0.52 tff(809,plain,
% 0.20/0.52 (store(a_785, i1, e_788) = store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[15, 808, 404])).
% 0.20/0.52 tff(810,plain,
% 0.20/0.52 (store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2)) = store(a_785, i1, e_788)),
% 0.20/0.52 inference(symmetry,[status(thm)],[809])).
% 0.20/0.52 tff(811,plain,
% 0.20/0.52 (a_785 = store(a_785, i1, e_788)),
% 0.20/0.52 inference(transitivity,[status(thm)],[15, 639, 810])).
% 0.20/0.52 tff(812,plain,
% 0.20/0.52 (store(a_785, i2, e_786) = store(store(a_785, i1, e_788), i5, select(a_810, i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[811, 681, 735])).
% 0.20/0.52 tff(813,plain,
% 0.20/0.52 (select(a_785, i2) = select(a_785, i1)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[807])).
% 0.20/0.52 tff(814,plain,
% 0.20/0.52 (e_788 = select(store(a_785, i2, e_786), i2)),
% 0.20/0.52 inference(transitivity,[status(thm)],[3, 813, 32, 23])).
% 0.20/0.52 tff(815,plain,
% 0.20/0.52 (store(a_787, i1, e_788) = store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[7, 808, 814])).
% 0.20/0.52 tff(816,plain,
% 0.20/0.52 (a_808 = a_829),
% 0.20/0.52 inference(transitivity,[status(thm)],[627, 796, 785, 783, 779, 777, 773, 767, 765, 761, 67, 77, 61, 82, 92, 759, 754, 750, 559, 549, 547, 544, 815, 643, 812, 734, 731, 730, 727, 517, 723, 720, 712, 352, 351, 345, 349, 348, 704, 703, 701, 698, 692, 689, 688, 686, 683, 36])).
% 0.20/0.52 tff(817,plain,
% 0.20/0.52 ($false),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[631, 816])).
% 0.20/0.52 tff(818,plain,(~(i0 = i5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.52 tff(819,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i0 = i5) | (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i0 = i5) | (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(820,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i0 = i5) | (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(821,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i0 = i5) | (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[820, 819])).
% 0.20/0.52 tff(822,plain,
% 0.20/0.52 ((i0 = i5) | (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[821, 265])).
% 0.20/0.52 tff(823,plain,
% 0.20/0.52 (store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0)) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[822, 818])).
% 0.20/0.52 tff(824,plain,
% 0.20/0.52 (store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5)) = store(store(store(a_809, i2, e_786), i0, select(a_810, i5)), i5, select(a_810, i0))),
% 0.20/0.52 inference(symmetry,[status(thm)],[823])).
% 0.20/0.52 tff(825,plain,
% 0.20/0.52 (store(store(a_809, i2, e_786), i5, select(a_810, i0)) = a_812),
% 0.20/0.52 inference(transitivity,[status(thm)],[502, 360])).
% 0.20/0.52 tff(826,plain,
% 0.20/0.52 (store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5)) = store(a_812, i0, e_813)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[825, 356])).
% 0.20/0.52 tff(827,plain,
% 0.20/0.52 (store(a_812, i0, e_813) = store(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i0, select(a_810, i5))),
% 0.20/0.52 inference(symmetry,[status(thm)],[826])).
% 0.20/0.52 tff(828,plain,
% 0.20/0.52 (a_814 = a_793),
% 0.20/0.52 inference(transitivity,[status(thm)],[128, 827, 824, 248, 104])).
% 0.20/0.52 tff(829,plain,
% 0.20/0.52 (select(a_814, i2) = select(a_793, i2)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[828])).
% 0.20/0.52 tff(830,plain,
% 0.20/0.52 (select(a_814, i2) = e_796),
% 0.20/0.52 inference(transitivity,[status(thm)],[829, 212])).
% 0.20/0.52 tff(831,plain,
% 0.20/0.52 (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(a_814, i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[362])).
% 0.20/0.52 tff(832,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i5) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i5) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(833,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i5) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5)))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(834,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i5) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[833, 832])).
% 0.20/0.52 tff(835,plain,
% 0.20/0.52 ((i0 = i5) | (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[834, 298])).
% 0.20/0.52 tff(836,plain,
% 0.20/0.52 (select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5) = select(store(a_810, i5, e_811), i5)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[835, 818])).
% 0.20/0.52 tff(837,plain,
% 0.20/0.52 (select(store(a_810, i5, e_811), i5) = select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[836])).
% 0.20/0.52 tff(838,plain,
% 0.20/0.52 (select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5) = select(store(a_810, i5, e_811), i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[502])).
% 0.20/0.52 tff(839,plain,
% 0.20/0.52 (e_794 = select(a_814, i5)),
% 0.20/0.52 inference(transitivity,[status(thm)],[99, 466, 460, 231, 508, 838, 837, 831])).
% 0.20/0.52 tff(840,plain,
% 0.20/0.52 (a_793 = store(a_812, i0, e_813)),
% 0.20/0.52 inference(transitivity,[status(thm)],[103, 247, 823, 826])).
% 0.20/0.52 tff(841,plain,
% 0.20/0.52 (store(a_793, i2, e_794) = store(store(a_812, i0, e_813), i2, select(a_814, i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[840, 839])).
% 0.20/0.52 tff(842,plain,
% 0.20/0.52 (store(store(a_812, i0, e_813), i2, select(a_814, i5)) = store(a_793, i2, e_794)),
% 0.20/0.52 inference(symmetry,[status(thm)],[841])).
% 0.20/0.52 tff(843,plain,
% 0.20/0.52 (store(store(a_812, i0, e_813), i2, select(a_814, i5)) = a_795),
% 0.20/0.52 inference(transitivity,[status(thm)],[842, 473])).
% 0.20/0.52 tff(844,plain,
% 0.20/0.52 (store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2)) = store(a_795, i5, e_796)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[843, 830])).
% 0.20/0.52 tff(845,plain,
% 0.20/0.52 (store(a_795, i5, e_796) = store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2))),
% 0.20/0.52 inference(symmetry,[status(thm)],[844])).
% 0.20/0.52 tff(846,plain,
% 0.20/0.52 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_799, i1, e_798), i5, select(store(a_799, i1, e_798), i5)) = store(a_799, i1, e_798))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(847,plain,
% 0.20/0.52 (store(store(a_799, i1, e_798), i5, select(store(a_799, i1, e_798), i5)) = store(a_799, i1, e_798)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[846, 90])).
% 0.20/0.52 tff(848,plain,
% 0.20/0.52 (select(store(a_799, i1, e_798), i5) = select(a_800, i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[52])).
% 0.20/0.52 tff(849,plain,
% 0.20/0.52 (select(a_800, i5) = select(store(a_799, i1, e_798), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[848])).
% 0.20/0.52 tff(850,plain,
% 0.20/0.52 (store(store(a_799, i1, e_798), i2, select(a_800, i5)) = store(store(a_799, i1, e_798), i5, select(store(a_799, i1, e_798), i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[166, 849])).
% 0.20/0.52 tff(851,plain,
% 0.20/0.52 (store(a_800, i5, e_801) = store(store(a_799, i1, e_798), i2, select(store(a_799, i1, e_798), i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[51, 165, 764])).
% 0.20/0.52 tff(852,plain,
% 0.20/0.52 (a_802 = store(a_799, i1, e_798)),
% 0.20/0.52 inference(transitivity,[status(thm)],[495, 851, 761])).
% 0.20/0.52 tff(853,plain,
% 0.20/0.52 (store(a_802, i2, e_803) = store(store(a_799, i1, e_798), i2, select(a_800, i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[852, 47])).
% 0.20/0.52 tff(854,plain,
% 0.20/0.52 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_802, i2, e_803), i5, select(store(a_802, i2, e_803), i5)) = store(a_802, i2, e_803))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(855,plain,
% 0.20/0.52 (store(store(a_802, i2, e_803), i5, select(store(a_802, i2, e_803), i5)) = store(a_802, i2, e_803)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[854, 90])).
% 0.20/0.52 tff(856,plain,
% 0.20/0.52 (select(store(a_802, i2, e_803), i5) = select(a_804, i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[44])).
% 0.20/0.52 tff(857,plain,
% 0.20/0.52 (select(a_804, i5) = select(store(a_802, i2, e_803), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[856])).
% 0.20/0.52 tff(858,plain,
% 0.20/0.52 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(a_804, i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[500])).
% 0.20/0.52 tff(859,assumption,(~(select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5))), introduced(assumption)).
% 0.20/0.52 tff(860,plain,
% 0.20/0.52 (i2 = i5),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[432, 859])).
% 0.20/0.52 tff(861,plain,
% 0.20/0.52 (select(a_800, i2) = select(a_800, i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[860])).
% 0.20/0.52 tff(862,plain,
% 0.20/0.52 (select(a_800, i5) = select(a_800, i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[861])).
% 0.20/0.52 tff(863,plain,
% 0.20/0.52 (i5 = i2),
% 0.20/0.52 inference(symmetry,[status(thm)],[860])).
% 0.20/0.52 tff(864,plain,
% 0.20/0.52 (select(a_804, i5) = select(a_804, i2)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[863])).
% 0.20/0.52 tff(865,plain,
% 0.20/0.52 (store(store(a_800, i5, e_801), i2, select(a_800, i5)) = a_804),
% 0.20/0.52 inference(transitivity,[status(thm)],[497, 44])).
% 0.20/0.52 tff(866,plain,
% 0.20/0.52 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(a_804, i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[865])).
% 0.20/0.52 tff(867,plain,
% 0.20/0.52 (select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)),
% 0.20/0.52 inference(transitivity,[status(thm)],[866, 864, 593, 592, 862, 769, 768])).
% 0.20/0.52 tff(868,plain,
% 0.20/0.52 ($false),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[859, 867])).
% 0.20/0.52 tff(869,plain,(select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5) = select(store(a_800, i5, e_801), i5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.52 tff(870,plain,
% 0.20/0.52 (select(store(a_800, i5, e_801), i5) = select(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[869])).
% 0.20/0.52 tff(871,plain,
% 0.20/0.52 (select(a_800, i2) = select(store(a_802, i2, e_803), i5)),
% 0.20/0.52 inference(transitivity,[status(thm)],[769, 768, 870, 858, 857])).
% 0.20/0.52 tff(872,plain,
% 0.20/0.52 (store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_800, i2)) = store(store(a_802, i2, e_803), i5, select(store(a_802, i2, e_803), i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[497, 871])).
% 0.20/0.52 tff(873,plain,
% 0.20/0.52 (select(a_804, i5) = select(a_800, i2)),
% 0.20/0.52 inference(transitivity,[status(thm)],[500, 869, 491, 484])).
% 0.20/0.52 tff(874,plain,
% 0.20/0.52 (store(store(a_802, i2, e_803), i2, select(a_804, i5)) = store(store(store(a_800, i5, e_801), i2, select(a_800, i5)), i5, select(a_800, i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[498, 166, 873])).
% 0.20/0.52 tff(875,plain,
% 0.20/0.52 (store(a_804, i5, e_805) = store(store(a_802, i2, e_803), i2, select(store(a_802, i2, e_803), i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[43, 165, 782])).
% 0.20/0.52 tff(876,plain,
% 0.20/0.52 (a_806 = store(a_802, i2, e_803)),
% 0.20/0.52 inference(transitivity,[status(thm)],[622, 875, 779])).
% 0.20/0.52 tff(877,plain,
% 0.20/0.52 (store(a_806, i2, e_807) = store(store(a_802, i2, e_803), i2, select(a_804, i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[876, 39])).
% 0.20/0.52 tff(878,plain,
% 0.20/0.52 (a_808 = store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2))),
% 0.20/0.52 inference(transitivity,[status(thm)],[627, 877, 874, 872, 855, 853, 850, 847, 67, 77, 61, 82, 92, 845])).
% 0.20/0.52 tff(879,plain,
% 0.20/0.52 ((a_808 = a_829) <=> (store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2)) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[878, 211])).
% 0.20/0.52 tff(880,plain,
% 0.20/0.52 ((store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2)) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5))) <=> (a_808 = a_829)),
% 0.20/0.52 inference(symmetry,[status(thm)],[879])).
% 0.20/0.52 tff(881,plain,
% 0.20/0.52 (select(a_814, i5) = select(a_814, i2)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[165])).
% 0.20/0.52 tff(882,plain,
% 0.20/0.52 (e_817 = select(a_814, i2)),
% 0.20/0.52 inference(transitivity,[status(thm)],[116, 881])).
% 0.20/0.52 tff(883,plain,
% 0.20/0.52 (a_816 = store(store(a_812, i0, e_813), i5, select(a_814, i2))),
% 0.20/0.52 inference(transitivity,[status(thm)],[120, 717])).
% 0.20/0.52 tff(884,plain,
% 0.20/0.52 (store(a_816, i2, e_817) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[883, 882])).
% 0.20/0.52 tff(885,plain,
% 0.20/0.52 (store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i2)) = store(a_816, i2, e_817)),
% 0.20/0.52 inference(symmetry,[status(thm)],[884])).
% 0.20/0.52 tff(886,plain,
% 0.20/0.52 (select(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i5) = select(store(a_814, i5, e_815), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[718])).
% 0.20/0.52 tff(887,plain,
% 0.20/0.52 (select(a_814, i2) = select(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[716])).
% 0.20/0.52 tff(888,plain,
% 0.20/0.52 (select(a_814, i2) = select(store(a_814, i5, e_815), i5)),
% 0.20/0.52 inference(transitivity,[status(thm)],[887, 886])).
% 0.20/0.52 tff(889,plain,
% 0.20/0.52 (store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i2)) = store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[130, 166, 888])).
% 0.20/0.52 tff(890,plain,
% 0.20/0.52 (store(store(a_814, i5, e_815), i5, select(store(a_814, i5, e_815), i5)) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i2))),
% 0.20/0.52 inference(symmetry,[status(thm)],[889])).
% 0.20/0.52 tff(891,plain,
% 0.20/0.52 (e_815 = select(a_793, i2)),
% 0.20/0.52 inference(transitivity,[status(thm)],[124, 829])).
% 0.20/0.52 tff(892,plain,
% 0.20/0.52 (a_814 = store(a_791, i5, e_792)),
% 0.20/0.52 inference(transitivity,[status(thm)],[128, 827, 824, 248])).
% 0.20/0.52 tff(893,plain,
% 0.20/0.52 (store(a_814, i5, e_815) = store(store(a_791, i5, e_792), i5, select(a_793, i2))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[892, 891])).
% 0.20/0.52 tff(894,plain,
% 0.20/0.52 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(a_814, i5, e_815)),
% 0.20/0.52 inference(symmetry,[status(thm)],[893])).
% 0.20/0.52 tff(895,plain,
% 0.20/0.52 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[165, 561])).
% 0.20/0.53 tff(896,plain,
% 0.20/0.53 (store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2)) = store(store(a_791, i5, e_792), i5, select(a_793, i2))),
% 0.20/0.53 inference(symmetry,[status(thm)],[895])).
% 0.20/0.53 tff(897,plain,
% 0.20/0.53 (store(a_791, i5, e_792) = store(store(a_791, i5, e_792), i2, select(store(a_791, i5, e_792), i2))),
% 0.20/0.53 inference(symmetry,[status(thm)],[559])).
% 0.20/0.53 tff(898,plain,
% 0.20/0.53 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_812, i0, e_813), i5, select(store(a_812, i0, e_813), i5)) = store(a_812, i0, e_813))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(899,plain,
% 0.20/0.53 (store(store(a_812, i0, e_813), i5, select(store(a_812, i0, e_813), i5)) = store(a_812, i0, e_813)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[898, 90])).
% 0.20/0.53 tff(900,plain,
% 0.20/0.53 (select(store(a_812, i0, e_813), i5) = select(a_814, i5)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[129])).
% 0.20/0.53 tff(901,plain,
% 0.20/0.53 (select(a_814, i5) = select(store(a_812, i0, e_813), i5)),
% 0.20/0.53 inference(symmetry,[status(thm)],[900])).
% 0.20/0.53 tff(902,plain,
% 0.20/0.53 (store(store(a_812, i0, e_813), i2, select(a_814, i5)) = store(store(a_812, i0, e_813), i5, select(store(a_812, i0, e_813), i5))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[166, 901])).
% 0.20/0.53 tff(903,plain,
% 0.20/0.53 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_793, i2, e_794), i2, select(store(a_793, i2, e_794), i2)) = store(a_793, i2, e_794))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(904,plain,
% 0.20/0.53 (store(store(a_793, i2, e_794), i2, select(store(a_793, i2, e_794), i2)) = store(a_793, i2, e_794)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[903, 90])).
% 0.20/0.53 tff(905,plain,
% 0.20/0.53 (select(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i2) = select(store(a_793, i2, e_794), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[469])).
% 0.20/0.53 tff(906,plain,
% 0.20/0.53 (select(a_793, i5) = select(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[468])).
% 0.20/0.53 tff(907,plain,
% 0.20/0.53 (select(a_810, i0) = select(a_789, i0)),
% 0.20/0.53 inference(symmetry,[status(thm)],[231])).
% 0.20/0.53 tff(908,plain,
% 0.20/0.53 (select(store(a_810, i5, e_811), i5) = select(store(store(a_809, i2, e_786), i5, select(a_810, i0)), i5)),
% 0.20/0.53 inference(symmetry,[status(thm)],[838])).
% 0.20/0.53 tff(909,plain,
% 0.20/0.53 (select(a_814, i5) = select(store(store(a_810, i5, e_811), i0, select(a_810, i5)), i5)),
% 0.20/0.53 inference(symmetry,[status(thm)],[831])).
% 0.20/0.53 tff(910,plain,
% 0.20/0.53 (select(a_814, i2) = select(a_814, i5)),
% 0.20/0.53 inference(symmetry,[status(thm)],[881])).
% 0.20/0.53 tff(911,plain,
% 0.20/0.53 (select(a_793, i2) = select(a_814, i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[829])).
% 0.20/0.53 tff(912,plain,
% 0.20/0.53 (select(a_800, i5) = select(store(a_793, i2, e_794), i2)),
% 0.20/0.53 inference(transitivity,[status(thm)],[748, 472, 911, 910, 909, 836, 908, 507, 907, 580, 579, 906, 905])).
% 0.20/0.53 tff(913,plain,
% 0.20/0.53 (store(store(a_793, i2, e_794), i2, select(a_800, i5)) = store(store(a_793, i2, e_794), i2, select(store(a_793, i2, e_794), i2))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[912])).
% 0.20/0.53 tff(914,plain,
% 0.20/0.53 (e_796 = select(a_800, i5)),
% 0.20/0.53 inference(transitivity,[status(thm)],[96, 751, 747])).
% 0.20/0.53 tff(915,plain,
% 0.20/0.53 (store(a_795, i5, e_796) = store(store(a_793, i2, e_794), i2, select(a_800, i5))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[109, 165, 914])).
% 0.20/0.53 tff(916,plain,
% 0.20/0.53 (store(store(store(a_812, i0, e_813), i2, select(a_814, i5)), i5, select(a_814, i2)) = store(store(store(a_812, i0, e_813), i5, select(a_814, i2)), i2, select(a_814, i5))),
% 0.20/0.53 inference(transitivity,[status(thm)],[844, 915, 913, 904, 841, 902, 899, 827, 824, 248, 897, 896, 894, 723, 890, 885, 133])).
% 0.20/0.53 tff(917,plain,
% 0.20/0.53 (a_808 = a_829),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[916, 880])).
% 0.20/0.53 tff(918,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[631, 917])).
% 0.20/0.53 tff(919,plain,((~(i5 = i2)) | (~(store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(920,plain,
% 0.20/0.53 (~(i5 = i2)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[919, 113])).
% 0.20/0.53 tff(921,plain,
% 0.20/0.53 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(store(store(a_791, i5, e_792), i2, select(a_793, i5)), i5, select(a_793, i2))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[413, 920])).
% 0.20/0.53 tff(922,plain,
% 0.20/0.53 (select(a_793, i5) = e_817),
% 0.20/0.53 inference(transitivity,[status(thm)],[466, 460, 231, 508, 838, 837, 831, 117])).
% 0.20/0.53 tff(923,plain,
% 0.20/0.53 (select(a_793, i2) = e_815),
% 0.20/0.53 inference(transitivity,[status(thm)],[911, 125])).
% 0.20/0.53 tff(924,plain,
% 0.20/0.53 (store(a_791, i5, e_792) = a_814),
% 0.20/0.53 inference(transitivity,[status(thm)],[247, 823, 826, 129])).
% 0.20/0.53 tff(925,plain,
% 0.20/0.53 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = store(a_814, i5, e_815)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[924, 923])).
% 0.20/0.53 tff(926,plain,
% 0.20/0.53 (store(store(a_791, i5, e_792), i5, select(a_793, i2)) = a_816),
% 0.20/0.53 inference(transitivity,[status(thm)],[925, 121])).
% 0.20/0.53 tff(927,plain,
% 0.20/0.53 (store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5)) = store(a_816, i2, e_817)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[926, 922])).
% 0.20/0.53 tff(928,plain,
% 0.20/0.53 (store(a_816, i2, e_817) = store(store(store(a_791, i5, e_792), i5, select(a_793, i2)), i2, select(a_793, i5))),
% 0.20/0.53 inference(symmetry,[status(thm)],[927])).
% 0.20/0.53 tff(929,plain,
% 0.20/0.53 (a_821 = a_800),
% 0.20/0.53 inference(transitivity,[status(thm)],[161, 744, 150, 346, 743, 135, 928, 921, 112, 93, 83, 62, 78, 68, 52])).
% 0.20/0.53 tff(930,plain,
% 0.20/0.53 (select(a_821, i5) = select(a_800, i5)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[929])).
% 0.20/0.53 tff(931,plain,
% 0.20/0.53 (e_824 = e_803),
% 0.20/0.53 inference(transitivity,[status(thm)],[170, 930, 48])).
% 0.20/0.53 tff(932,plain,
% 0.20/0.53 (select(a_800, i5) = e_796),
% 0.20/0.53 inference(transitivity,[status(thm)],[748, 472, 212])).
% 0.20/0.53 tff(933,plain,
% 0.20/0.53 (store(store(a_793, i2, e_794), i5, select(a_800, i5)) = store(a_795, i5, e_796)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[473, 932])).
% 0.20/0.53 tff(934,plain,
% 0.20/0.53 (store(a_795, i5, e_796) = store(store(a_793, i2, e_794), i5, select(a_800, i5))),
% 0.20/0.53 inference(symmetry,[status(thm)],[933])).
% 0.20/0.53 tff(935,plain,
% 0.20/0.53 (a_800 = store(store(a_793, i2, e_794), i5, select(a_800, i5))),
% 0.20/0.53 inference(transitivity,[status(thm)],[51, 67, 77, 61, 82, 92, 934])).
% 0.20/0.53 tff(936,plain,
% 0.20/0.53 (select(a_800, i2) = select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[935])).
% 0.20/0.53 tff(937,plain,
% 0.20/0.53 (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(a_800, i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[936])).
% 0.20/0.53 tff(938,plain,
% 0.20/0.53 (select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2) = select(store(a_793, i2, e_794), i2)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[427, 920])).
% 0.20/0.53 tff(939,plain,
% 0.20/0.53 (select(store(a_793, i2, e_794), i2) = select(store(store(a_793, i2, e_794), i5, select(a_800, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[938])).
% 0.20/0.53 tff(940,plain,
% 0.20/0.53 (e_822 = e_801),
% 0.20/0.53 inference(transitivity,[status(thm)],[177, 710, 706, 909, 836, 908, 507, 907, 580, 579, 906, 905, 939, 937, 488])).
% 0.20/0.53 tff(941,plain,
% 0.20/0.53 (store(a_821, i5, e_822) = store(a_800, i5, e_801)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[929, 940])).
% 0.20/0.53 tff(942,plain,
% 0.20/0.53 (a_823 = a_802),
% 0.20/0.53 inference(transitivity,[status(thm)],[182, 941, 496])).
% 0.20/0.53 tff(943,plain,
% 0.20/0.53 (store(a_823, i2, e_824) = store(a_802, i2, e_803)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[942, 931])).
% 0.20/0.53 tff(944,plain,
% 0.20/0.53 (a_825 = a_804),
% 0.20/0.53 inference(transitivity,[status(thm)],[189, 943, 44])).
% 0.20/0.53 tff(945,plain,
% 0.20/0.53 (select(a_825, i5) = select(a_804, i5)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[944])).
% 0.20/0.53 tff(946,plain,
% 0.20/0.53 (e_828 = e_807),
% 0.20/0.53 inference(transitivity,[status(thm)],[196, 945, 40])).
% 0.20/0.53 tff(947,plain,
% 0.20/0.53 (store(a_804, i5, e_805) = a_806),
% 0.20/0.53 inference(symmetry,[status(thm)],[622])).
% 0.20/0.53 tff(948,plain,
% 0.20/0.53 (e_826 = e_805),
% 0.20/0.53 inference(transitivity,[status(thm)],[203, 308, 311, 930, 775, 774, 786])).
% 0.20/0.53 tff(949,plain,
% 0.20/0.53 (store(a_825, i5, e_826) = store(a_804, i5, e_805)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[944, 948])).
% 0.20/0.53 tff(950,plain,
% 0.20/0.53 (a_827 = a_806),
% 0.20/0.53 inference(transitivity,[status(thm)],[208, 949, 947])).
% 0.20/0.53 tff(951,plain,
% 0.20/0.53 (store(a_827, i2, e_828) = store(a_806, i2, e_807)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[950, 946])).
% 0.20/0.53 tff(952,plain,
% 0.20/0.53 (store(a_806, i2, e_807) = store(a_827, i2, e_828)),
% 0.20/0.53 inference(symmetry,[status(thm)],[951])).
% 0.20/0.53 tff(953,plain,
% 0.20/0.53 (a_808 = a_829),
% 0.20/0.53 inference(transitivity,[status(thm)],[627, 952, 36])).
% 0.20/0.53 tff(954,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[631, 953])).
% 0.20/0.53 tff(955,plain,(~(store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(956,plain,
% 0.20/0.53 (i1 = i2),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[453, 955])).
% 0.20/0.53 tff(957,plain,
% 0.20/0.53 (select(a_785, i1) = select(a_785, i2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[956])).
% 0.20/0.53 tff(958,plain,
% 0.20/0.53 (select(a_785, i2) = select(a_785, i1)),
% 0.20/0.53 inference(symmetry,[status(thm)],[957])).
% 0.20/0.53 tff(959,plain,
% 0.20/0.53 (e_788 = select(store(a_785, i2, e_786), i2)),
% 0.20/0.53 inference(transitivity,[status(thm)],[3, 958, 32, 23])).
% 0.20/0.53 tff(960,plain,
% 0.20/0.53 (store(a_787, i1, e_788) = store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[7, 956, 959])).
% 0.20/0.53 tff(961,plain,
% 0.20/0.53 (store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2)) = store(a_787, i1, e_788)),
% 0.20/0.53 inference(symmetry,[status(thm)],[960])).
% 0.20/0.53 tff(962,plain,
% 0.20/0.53 (store(a_785, i2, e_786) = store(store(a_785, i2, e_786), i2, select(store(a_785, i2, e_786), i2))),
% 0.20/0.53 inference(symmetry,[status(thm)],[643])).
% 0.20/0.53 tff(963,plain,
% 0.20/0.53 (store(a_785, i1, e_788) = store(store(a_783, i3, e_784), i2, select(store(a_783, i3, e_784), i2))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[15, 956, 404])).
% 0.20/0.53 tff(964,plain,
% 0.20/0.53 (a_809 = a_785),
% 0.20/0.53 inference(transitivity,[status(thm)],[219, 963, 638, 16])).
% 0.20/0.53 tff(965,plain,
% 0.20/0.53 (store(a_809, i2, e_786) = store(a_785, i2, e_786)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[964])).
% 0.20/0.53 tff(966,plain,
% 0.20/0.53 (store(store(store(a_783, i3, e_784), i1, select(a_785, i2)), i2, select(a_785, i1)) = store(store(store(a_783, i3, e_784), i2, select(a_785, i1)), i1, select(a_785, i2))),
% 0.20/0.53 inference(transitivity,[status(thm)],[223, 965, 962, 961, 20])).
% 0.20/0.53 tff(967,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[955, 966])).
% 0.20/0.53 % SZS output end Proof
% 0.20/0.53 % E exiting
%------------------------------------------------------------------------------