%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV537-1.007 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:34:22 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.43s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV537-1.007 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 10:16:50 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(e_883_type, type, (
% 0.20/0.43 e_883: $i)).
% 0.20/0.43 tff(e_882_type, type, (
% 0.20/0.43 e_882: $i)).
% 0.20/0.43 tff(select_type, type, (
% 0.20/0.43 select: ( $i * $i ) > $i)).
% 0.20/0.43 tff(i5_type, type, (
% 0.20/0.43 i5: $i)).
% 0.20/0.43 tff(store_type, type, (
% 0.20/0.43 store: ( $i * $i * $i ) > $i)).
% 0.20/0.43 tff(e_873_type, type, (
% 0.20/0.43 e_873: $i)).
% 0.20/0.43 tff(a_872_type, type, (
% 0.20/0.43 a_872: $i)).
% 0.20/0.43 tff(i2_type, type, (
% 0.20/0.43 i2: $i)).
% 0.20/0.43 tff(a_876_type, type, (
% 0.20/0.43 a_876: $i)).
% 0.20/0.43 tff(e_875_type, type, (
% 0.20/0.43 e_875: $i)).
% 0.20/0.43 tff(a_874_type, type, (
% 0.20/0.43 a_874: $i)).
% 0.20/0.43 tff(e_877_type, type, (
% 0.20/0.43 e_877: $i)).
% 0.20/0.43 tff(i_881_type, type, (
% 0.20/0.43 i_881: $i)).
% 0.20/0.43 tff(a_880_type, type, (
% 0.20/0.43 a_880: $i)).
% 0.20/0.43 tff(sk_type, type, (
% 0.20/0.43 sk: ( $i * $i ) > $i)).
% 0.20/0.43 tff(a_859_type, type, (
% 0.20/0.43 a_859: $i)).
% 0.20/0.43 tff(e_879_type, type, (
% 0.20/0.43 e_879: $i)).
% 0.20/0.43 tff(a_878_type, type, (
% 0.20/0.43 a_878: $i)).
% 0.20/0.43 tff(i1_type, type, (
% 0.20/0.43 i1: $i)).
% 0.20/0.43 tff(i0_type, type, (
% 0.20/0.43 i0: $i)).
% 0.20/0.43 tff(e_866_type, type, (
% 0.20/0.43 e_866: $i)).
% 0.20/0.43 tff(a_865_type, type, (
% 0.20/0.43 a_865: $i)).
% 0.20/0.43 tff(a_848_type, type, (
% 0.20/0.43 a_848: $i)).
% 0.20/0.43 tff(a_861_type, type, (
% 0.20/0.43 a_861: $i)).
% 0.20/0.43 tff(e_868_type, type, (
% 0.20/0.43 e_868: $i)).
% 0.20/0.43 tff(a_867_type, type, (
% 0.20/0.43 a_867: $i)).
% 0.20/0.43 tff(e_862_type, type, (
% 0.20/0.43 e_862: $i)).
% 0.20/0.43 tff(e_864_type, type, (
% 0.20/0.43 e_864: $i)).
% 0.20/0.43 tff(a_863_type, type, (
% 0.20/0.43 a_863: $i)).
% 0.20/0.43 tff(e_837_type, type, (
% 0.20/0.43 e_837: $i)).
% 0.20/0.43 tff(a_860_type, type, (
% 0.20/0.43 a_860: $i)).
% 0.20/0.43 tff(a_840_type, type, (
% 0.20/0.43 a_840: $i)).
% 0.20/0.43 tff(e_839_type, type, (
% 0.20/0.43 e_839: $i)).
% 0.20/0.43 tff(a_838_type, type, (
% 0.20/0.43 a_838: $i)).
% 0.20/0.43 tff(a_836_type, type, (
% 0.20/0.43 a_836: $i)).
% 0.20/0.43 tff(e_843_type, type, (
% 0.20/0.43 e_843: $i)).
% 0.20/0.43 tff(a_842_type, type, (
% 0.20/0.43 a_842: $i)).
% 0.20/0.43 tff(e_835_type, type, (
% 0.20/0.43 e_835: $i)).
% 0.20/0.43 tff(i3_type, type, (
% 0.20/0.43 i3: $i)).
% 0.20/0.43 tff(a_834_type, type, (
% 0.20/0.43 a_834: $i)).
% 0.20/0.43 tff(a_855_type, type, (
% 0.20/0.43 a_855: $i)).
% 0.20/0.43 tff(e_856_type, type, (
% 0.20/0.43 e_856: $i)).
% 0.20/0.43 tff(e_841_type, type, (
% 0.20/0.43 e_841: $i)).
% 0.20/0.43 tff(a_869_type, type, (
% 0.20/0.43 a_869: $i)).
% 0.20/0.43 tff(e_870_type, type, (
% 0.20/0.43 e_870: $i)).
% 0.20/0.43 tff(a_871_type, type, (
% 0.20/0.43 a_871: $i)).
% 0.20/0.43 tff(a_844_type, type, (
% 0.20/0.43 a_844: $i)).
% 0.20/0.43 tff(e_845_type, type, (
% 0.20/0.43 e_845: $i)).
% 0.20/0.43 tff(e_847_type, type, (
% 0.20/0.43 e_847: $i)).
% 0.20/0.43 tff(a_846_type, type, (
% 0.20/0.43 a_846: $i)).
% 0.20/0.43 tff(e_849_type, type, (
% 0.20/0.43 e_849: $i)).
% 0.20/0.43 tff(a_851_type, type, (
% 0.20/0.43 a_851: $i)).
% 0.20/0.43 tff(a_850_type, type, (
% 0.20/0.43 a_850: $i)).
% 0.20/0.43 tff(e_852_type, type, (
% 0.20/0.43 e_852: $i)).
% 0.20/0.43 tff(e_854_type, type, (
% 0.20/0.43 e_854: $i)).
% 0.20/0.43 tff(a_853_type, type, (
% 0.20/0.43 a_853: $i)).
% 0.20/0.43 tff(e_858_type, type, (
% 0.20/0.43 e_858: $i)).
% 0.20/0.43 tff(a_857_type, type, (
% 0.20/0.43 a_857: $i)).
% 0.20/0.43 tff(1,plain,
% 0.20/0.43 ((select(store(a_872, i5, e_873), i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)) <=> (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))),
% 0.20/0.43 inference(commutativity,[status(thm)],[])).
% 0.20/0.43 tff(2,plain,
% 0.20/0.43 ((a_876 = store(a_874, i2, e_875)) <=> (a_876 = store(a_874, i2, e_875))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(3,axiom,(a_876 = store(a_874, i2, e_875)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp23')).
% 0.20/0.43 tff(4,plain,
% 0.20/0.43 (a_876 = store(a_874, i2, e_875)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.43 tff(5,plain,
% 0.20/0.43 (store(a_874, i2, e_875) = a_876),
% 0.20/0.43 inference(symmetry,[status(thm)],[4])).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 ((e_875 = select(a_872, i5)) <=> (e_875 = select(a_872, i5))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(7,axiom,(e_875 = select(a_872, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp45')).
% 0.20/0.43 tff(8,plain,
% 0.20/0.43 (e_875 = select(a_872, i5)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.43 tff(9,plain,
% 0.20/0.43 (select(a_872, i5) = e_875),
% 0.20/0.43 inference(symmetry,[status(thm)],[8])).
% 0.20/0.43 tff(10,plain,
% 0.20/0.43 ((a_874 = store(a_872, i5, e_873)) <=> (a_874 = store(a_872, i5, e_873))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(11,axiom,(a_874 = store(a_872, i5, e_873)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp22')).
% 0.20/0.43 tff(12,plain,
% 0.20/0.43 (a_874 = store(a_872, i5, e_873)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.20/0.43 tff(13,plain,
% 0.20/0.43 (store(a_872, i5, e_873) = a_874),
% 0.20/0.43 inference(symmetry,[status(thm)],[12])).
% 0.20/0.43 tff(14,plain,
% 0.20/0.43 (store(store(a_872, i5, e_873), i2, select(a_872, i5)) = store(a_874, i2, e_875)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[13, 9])).
% 0.20/0.43 tff(15,plain,
% 0.20/0.43 (store(store(a_872, i5, e_873), i2, select(a_872, i5)) = a_876),
% 0.20/0.43 inference(transitivity,[status(thm)],[14, 5])).
% 0.20/0.43 tff(16,plain,
% 0.20/0.43 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(a_876, i5)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[15])).
% 0.20/0.43 tff(17,plain,
% 0.20/0.43 (select(a_876, i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.20/0.43 inference(symmetry,[status(thm)],[16])).
% 0.20/0.43 tff(18,plain,
% 0.20/0.43 (![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)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(19,plain,
% 0.20/0.43 (![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)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(20,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a1')).
% 0.20/0.43 tff(21,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.43 tff(22,plain,(
% 0.20/0.43 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.43 inference(skolemize,[status(sab)],[21])).
% 0.20/0.43 tff(23,plain,
% 0.20/0.43 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.20/0.43 tff(24,plain,
% 0.20/0.43 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2) = select(a_876, i5))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(25,plain,
% 0.20/0.43 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2) = select(a_876, i5)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.20/0.43 tff(26,plain,
% 0.20/0.43 ((e_883 = select(a_880, i_881)) <=> (e_883 = select(a_880, i_881))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(27,axiom,(e_883 = select(a_880, i_881)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp49')).
% 0.20/0.43 tff(28,plain,
% 0.20/0.43 (e_883 = select(a_880, i_881)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.43 tff(29,plain,
% 0.20/0.43 (select(a_880, i_881) = e_883),
% 0.20/0.43 inference(symmetry,[status(thm)],[28])).
% 0.20/0.43 tff(30,plain,
% 0.20/0.43 ((i_881 = sk(a_859, a_880)) <=> (i_881 = sk(a_859, a_880))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(31,axiom,(i_881 = sk(a_859, a_880)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp50')).
% 0.20/0.43 tff(32,plain,
% 0.20/0.43 (i_881 = sk(a_859, a_880)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.43 tff(33,plain,
% 0.20/0.43 ((e_879 = select(a_876, i5)) <=> (e_879 = select(a_876, i5))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(34,axiom,(e_879 = select(a_876, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp47')).
% 0.20/0.43 tff(35,plain,
% 0.20/0.43 (e_879 = select(a_876, i5)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.43 tff(36,plain,
% 0.20/0.43 (select(a_876, i5) = e_879),
% 0.20/0.43 inference(symmetry,[status(thm)],[35])).
% 0.20/0.43 tff(37,plain,
% 0.20/0.43 ((a_878 = store(a_876, i5, e_877)) <=> (a_878 = store(a_876, i5, e_877))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(38,axiom,(a_878 = store(a_876, i5, e_877)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp24')).
% 0.20/0.43 tff(39,plain,
% 0.20/0.43 (a_878 = store(a_876, i5, e_877)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.43 tff(40,plain,
% 0.20/0.43 (store(a_876, i5, e_877) = a_878),
% 0.20/0.43 inference(symmetry,[status(thm)],[39])).
% 0.20/0.43 tff(41,plain,
% 0.20/0.43 (store(store(a_876, i5, e_877), i2, select(a_876, i5)) = store(a_878, i2, e_879)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[40, 36])).
% 0.20/0.43 tff(42,plain,
% 0.20/0.43 (store(a_878, i2, e_879) = store(store(a_876, i5, e_877), i2, select(a_876, i5))),
% 0.20/0.43 inference(symmetry,[status(thm)],[41])).
% 0.20/0.43 tff(43,plain,
% 0.20/0.43 ((a_880 = store(a_878, i2, e_879)) <=> (a_880 = store(a_878, i2, e_879))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(44,axiom,(a_880 = store(a_878, i2, e_879)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp25')).
% 0.20/0.43 tff(45,plain,
% 0.20/0.43 (a_880 = store(a_878, i2, e_879)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.43 tff(46,plain,
% 0.20/0.43 (a_880 = store(store(a_876, i5, e_877), i2, select(a_876, i5))),
% 0.20/0.44 inference(transitivity,[status(thm)],[45, 42])).
% 0.20/0.44 tff(47,plain,
% 0.20/0.44 (select(a_880, i_881) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[46, 32])).
% 0.20/0.44 tff(48,plain,
% 0.20/0.44 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(a_880, i_881)),
% 0.20/0.44 inference(symmetry,[status(thm)],[47])).
% 0.20/0.44 tff(49,assumption,(~(i2 = sk(a_859, a_880))), introduced(assumption)).
% 0.20/0.44 tff(50,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(51,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(52,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')).
% 0.20/0.44 tff(53,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.44 tff(54,plain,(
% 0.20/0.44 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[53])).
% 0.20/0.44 tff(55,plain,
% 0.20/0.44 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.20/0.44 tff(56,plain,
% 0.20/0.44 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(57,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(58,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.20/0.44 tff(59,plain,
% 0.20/0.44 ((i2 = sk(a_859, a_880)) | (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.20/0.44 tff(60,plain,
% 0.20/0.44 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[59, 49])).
% 0.20/0.44 tff(61,plain,
% 0.20/0.44 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880))),
% 0.20/0.44 inference(symmetry,[status(thm)],[60])).
% 0.20/0.44 tff(62,plain,
% 0.20/0.44 ((e_877 = select(a_876, i2)) <=> (e_877 = select(a_876, i2))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(63,axiom,(e_877 = select(a_876, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp46')).
% 0.20/0.44 tff(64,plain,
% 0.20/0.44 (e_877 = select(a_876, i2)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.20/0.44 tff(65,plain,
% 0.20/0.44 (select(a_876, i2) = e_877),
% 0.20/0.44 inference(symmetry,[status(thm)],[64])).
% 0.20/0.44 tff(66,plain,
% 0.20/0.44 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i2, select(a_872, i5))),
% 0.20/0.44 inference(symmetry,[status(thm)],[14])).
% 0.20/0.44 tff(67,plain,
% 0.20/0.44 (a_876 = store(store(a_872, i5, e_873), i2, select(a_872, i5))),
% 0.20/0.44 inference(transitivity,[status(thm)],[4, 66])).
% 0.20/0.44 tff(68,plain,
% 0.20/0.44 (select(a_876, i2) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i2)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[67])).
% 0.20/0.44 tff(69,plain,
% 0.20/0.44 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i2) = select(a_876, i2)),
% 0.20/0.44 inference(symmetry,[status(thm)],[68])).
% 0.20/0.44 tff(70,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i2) = select(a_872, i5))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(71,plain,
% 0.20/0.44 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i2) = select(a_872, i5)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[70, 23])).
% 0.20/0.44 tff(72,plain,
% 0.20/0.44 (select(a_872, i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i2)),
% 0.20/0.44 inference(symmetry,[status(thm)],[71])).
% 0.20/0.44 tff(73,plain,
% 0.20/0.44 (select(a_872, i5) = e_877),
% 0.20/0.44 inference(transitivity,[status(thm)],[72, 69, 65])).
% 0.20/0.44 tff(74,plain,
% 0.20/0.44 (store(store(a_874, i2, e_875), i5, select(a_872, i5)) = store(a_876, i5, e_877)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[5, 73])).
% 0.20/0.44 tff(75,plain,
% 0.20/0.44 (store(a_876, i5, e_877) = store(store(a_874, i2, e_875), i5, select(a_872, i5))),
% 0.20/0.44 inference(symmetry,[status(thm)],[74])).
% 0.20/0.44 tff(76,plain,
% 0.20/0.44 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[75])).
% 0.20/0.44 tff(77,plain,
% 0.20/0.44 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.20/0.44 inference(symmetry,[status(thm)],[76])).
% 0.20/0.44 tff(78,plain,
% 0.20/0.44 ((i2 = i1) <=> (i1 = i2)),
% 0.20/0.44 inference(commutativity,[status(thm)],[])).
% 0.20/0.44 tff(79,plain,
% 0.20/0.44 ((i1 = i2) <=> (i2 = i1)),
% 0.20/0.44 inference(symmetry,[status(thm)],[78])).
% 0.20/0.44 tff(80,plain,
% 0.20/0.44 ((i0 = i2) <=> (i2 = i0)),
% 0.20/0.44 inference(commutativity,[status(thm)],[])).
% 0.20/0.44 tff(81,assumption,(~(i1 = i0)), introduced(assumption)).
% 0.20/0.44 tff(82,plain,
% 0.20/0.44 ((e_868 = select(a_865, i5)) <=> (e_868 = select(a_865, i5))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(83,axiom,(e_868 = select(a_865, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp42')).
% 0.20/0.44 tff(84,plain,
% 0.20/0.44 (e_868 = select(a_865, i5)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.20/0.44 tff(85,plain,
% 0.20/0.44 (select(a_865, i5) = e_868),
% 0.20/0.44 inference(symmetry,[status(thm)],[84])).
% 0.20/0.44 tff(86,plain,
% 0.20/0.44 ((e_864 = select(a_861, i5)) <=> (e_864 = select(a_861, i5))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(87,axiom,(e_864 = select(a_861, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp40')).
% 0.20/0.44 tff(88,plain,
% 0.20/0.44 (e_864 = select(a_861, i5)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.44 tff(89,plain,
% 0.20/0.44 (select(a_861, i5) = e_864),
% 0.20/0.44 inference(symmetry,[status(thm)],[88])).
% 0.20/0.44 tff(90,plain,
% 0.20/0.44 ((a_863 = store(a_861, i5, e_862)) <=> (a_863 = store(a_861, i5, e_862))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(91,axiom,(a_863 = store(a_861, i5, e_862)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp16')).
% 0.20/0.44 tff(92,plain,
% 0.20/0.44 (a_863 = store(a_861, i5, e_862)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.20/0.44 tff(93,plain,
% 0.20/0.44 (store(a_861, i5, e_862) = a_863),
% 0.20/0.44 inference(symmetry,[status(thm)],[92])).
% 0.20/0.44 tff(94,plain,
% 0.20/0.44 (store(store(a_861, i5, e_862), i0, select(a_861, i5)) = store(a_863, i0, e_864)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[93, 89])).
% 0.20/0.44 tff(95,plain,
% 0.20/0.44 (store(a_863, i0, e_864) = store(store(a_861, i5, e_862), i0, select(a_861, i5))),
% 0.20/0.44 inference(symmetry,[status(thm)],[94])).
% 0.20/0.44 tff(96,plain,
% 0.20/0.44 ((a_865 = store(a_863, i0, e_864)) <=> (a_865 = store(a_863, i0, e_864))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(97,axiom,(a_865 = store(a_863, i0, e_864)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp17')).
% 0.20/0.44 tff(98,plain,
% 0.20/0.44 (a_865 = store(a_863, i0, e_864)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.20/0.44 tff(99,plain,
% 0.20/0.44 (a_865 = store(store(a_861, i5, e_862), i0, select(a_861, i5))),
% 0.20/0.44 inference(transitivity,[status(thm)],[98, 95])).
% 0.20/0.44 tff(100,plain,
% 0.20/0.44 (select(a_865, i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[99])).
% 0.20/0.44 tff(101,plain,
% 0.20/0.44 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(a_865, i5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[100])).
% 0.20/0.44 tff(102,plain,
% 0.20/0.44 ((e_862 = select(a_861, i0)) <=> (e_862 = select(a_861, i0))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(103,axiom,(e_862 = select(a_861, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp39')).
% 0.20/0.44 tff(104,plain,
% 0.20/0.44 (e_862 = select(a_861, i0)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.44 tff(105,plain,
% 0.20/0.44 (select(a_861, i0) = e_862),
% 0.20/0.44 inference(symmetry,[status(thm)],[104])).
% 0.20/0.44 tff(106,plain,
% 0.20/0.44 ((a_861 = store(a_860, i2, e_837)) <=> (a_861 = store(a_860, i2, e_837))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(107,axiom,(a_861 = store(a_860, i2, e_837)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp15')).
% 0.20/0.44 tff(108,plain,
% 0.20/0.44 (a_861 = store(a_860, i2, e_837)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.20/0.44 tff(109,plain,
% 0.20/0.44 (store(a_860, i2, e_837) = a_861),
% 0.20/0.44 inference(symmetry,[status(thm)],[108])).
% 0.20/0.44 tff(110,plain,
% 0.20/0.44 (store(store(a_860, i2, e_837), i5, select(a_861, i0)) = store(a_861, i5, e_862)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[109, 105])).
% 0.20/0.44 tff(111,plain,
% 0.20/0.44 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i5, select(a_861, i0))),
% 0.20/0.44 inference(symmetry,[status(thm)],[110])).
% 0.20/0.44 tff(112,plain,
% 0.20/0.44 (select(store(a_861, i5, e_862), i5) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[111])).
% 0.20/0.44 tff(113,plain,
% 0.20/0.44 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5) = select(store(a_861, i5, e_862), i5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[112])).
% 0.20/0.44 tff(114,plain,
% 0.20/0.44 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5) = select(a_861, i0))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(115,plain,
% 0.20/0.44 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5) = select(a_861, i0)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[114, 23])).
% 0.20/0.44 tff(116,plain,
% 0.20/0.44 (select(a_861, i0) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5)),
% 0.20/0.44 inference(symmetry,[status(thm)],[115])).
% 0.20/0.44 tff(117,assumption,(~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))), introduced(assumption)).
% 0.20/0.44 tff(118,plain,
% 0.20/0.44 (((~![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_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), 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_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(119,plain,
% 0.20/0.44 ((~![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_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(120,plain,
% 0.20/0.44 ((~![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_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.20/0.44 tff(121,plain,
% 0.20/0.44 ((i0 = i5) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[120, 55])).
% 0.20/0.44 tff(122,plain,
% 0.20/0.44 (i0 = i5),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[121, 117])).
% 0.20/0.44 tff(123,plain,
% 0.20/0.44 (select(a_861, i0) = select(a_861, i5)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[122])).
% 0.20/0.45 tff(124,plain,
% 0.20/0.45 (select(a_861, i5) = select(a_861, i0)),
% 0.20/0.45 inference(symmetry,[status(thm)],[123])).
% 0.20/0.45 tff(125,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(a_861, i5))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(126,plain,
% 0.20/0.45 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(a_861, i5)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[125, 23])).
% 0.20/0.45 tff(127,plain,
% 0.20/0.45 (i5 = i0),
% 0.20/0.45 inference(symmetry,[status(thm)],[122])).
% 0.20/0.45 tff(128,plain,
% 0.20/0.45 (select(a_865, i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[99, 127])).
% 0.20/0.45 tff(129,plain,
% 0.20/0.45 (store(a_863, i0, e_864) = a_865),
% 0.20/0.45 inference(symmetry,[status(thm)],[98])).
% 0.20/0.45 tff(130,plain,
% 0.20/0.45 (store(store(a_861, i5, e_862), i0, select(a_861, i5)) = a_865),
% 0.20/0.45 inference(transitivity,[status(thm)],[94, 129])).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(a_865, i5)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[130])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)),
% 0.20/0.45 inference(transitivity,[status(thm)],[131, 128, 126, 124, 116, 113])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[117, 132])).
% 0.20/0.45 tff(134,plain,(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 (select(store(a_861, i5, e_862), i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5)),
% 0.20/0.45 inference(symmetry,[status(thm)],[134])).
% 0.20/0.45 tff(136,plain,
% 0.20/0.45 (select(a_861, i0) = e_868),
% 0.20/0.45 inference(transitivity,[status(thm)],[116, 113, 135, 101, 85])).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 ((a_867 = store(a_865, i5, e_866)) <=> (a_867 = store(a_865, i5, e_866))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(138,axiom,(a_867 = store(a_865, i5, e_866)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp18')).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 (a_867 = store(a_865, i5, e_866)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (store(a_865, i5, e_866) = a_867),
% 0.20/0.45 inference(symmetry,[status(thm)],[139])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 (store(store(a_865, i5, e_866), i2, select(a_861, i0)) = store(a_867, i2, e_868)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[140, 136])).
% 0.20/0.45 tff(142,plain,
% 0.20/0.45 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[141])).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.20/0.45 inference(symmetry,[status(thm)],[142])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 ((a_840 = store(a_838, i1, e_839)) <=> (a_840 = store(a_838, i1, e_839))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(145,axiom,(a_840 = store(a_838, i1, e_839)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp3')).
% 0.20/0.45 tff(146,plain,
% 0.20/0.45 (a_840 = store(a_838, i1, e_839)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.45 tff(147,plain,
% 0.20/0.45 (store(a_838, i1, e_839) = a_840),
% 0.20/0.45 inference(symmetry,[status(thm)],[146])).
% 0.20/0.45 tff(148,plain,
% 0.20/0.45 ((e_839 = select(a_836, i2)) <=> (e_839 = select(a_836, i2))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(149,axiom,(e_839 = select(a_836, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp29')).
% 0.20/0.45 tff(150,plain,
% 0.20/0.45 (e_839 = select(a_836, i2)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.20/0.45 tff(151,plain,
% 0.20/0.45 (select(a_836, i2) = e_839),
% 0.20/0.45 inference(symmetry,[status(thm)],[150])).
% 0.20/0.45 tff(152,plain,
% 0.20/0.45 ((i5 = i1) <=> (i1 = i5)),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(153,assumption,(~(i2 = i1)), introduced(assumption)).
% 0.20/0.45 tff(154,assumption,(i1 = i2), introduced(assumption)).
% 0.20/0.45 tff(155,plain,
% 0.20/0.45 (i2 = i1),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[154, 79])).
% 0.20/0.45 tff(156,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[153, 155])).
% 0.20/0.45 tff(157,plain,((~(i1 = i2)) | (i2 = i1)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(158,plain,
% 0.20/0.45 (~(i1 = i2)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[157, 153])).
% 0.20/0.45 tff(159,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i1) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i1) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(160,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i1) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(161,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i1) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.45 tff(162,plain,
% 0.20/0.45 ((i2 = i1) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[161, 55])).
% 0.20/0.45 tff(163,plain,
% 0.20/0.45 (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[162, 153])).
% 0.20/0.45 tff(164,plain,
% 0.20/0.45 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i1) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i1) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(165,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i1) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(166,plain,
% 0.20/0.45 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i1) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.45 tff(167,plain,
% 0.20/0.45 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[166, 55, 153])).
% 0.20/0.45 tff(168,assumption,(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)), introduced(assumption)).
% 0.20/0.45 tff(169,assumption,(~(i1 = i2)), introduced(assumption)).
% 0.20/0.45 tff(170,assumption,(~(i1 = sk(a_859, a_880))), introduced(assumption)).
% 0.20/0.45 tff(171,plain,
% 0.20/0.45 ((sk(a_859, a_880) = i2) <=> (i2 = sk(a_859, a_880))),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.45 tff(172,plain,
% 0.20/0.45 ((i2 = sk(a_859, a_880)) <=> (sk(a_859, a_880) = i2)),
% 0.20/0.45 inference(symmetry,[status(thm)],[171])).
% 0.20/0.45 tff(173,plain,
% 0.20/0.45 ((~(i2 = sk(a_859, a_880))) <=> (~(sk(a_859, a_880) = i2))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[172])).
% 0.20/0.45 tff(174,plain,
% 0.20/0.45 (~(sk(a_859, a_880) = i2)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[49, 173])).
% 0.20/0.45 tff(175,plain,
% 0.20/0.45 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[110])).
% 0.20/0.45 tff(176,plain,
% 0.20/0.45 (select(store(a_861, i5, e_862), i2) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2)),
% 0.20/0.45 inference(symmetry,[status(thm)],[175])).
% 0.20/0.45 tff(177,plain,
% 0.20/0.45 ((e_883 = e_882) <=> (e_882 = e_883)),
% 0.20/0.45 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(178,plain,
% 0.20/0.46 ((e_882 = select(a_859, i_881)) <=> (e_882 = select(a_859, i_881))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(179,axiom,(e_882 = select(a_859, i_881)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp48')).
% 0.20/0.46 tff(180,plain,
% 0.20/0.46 (e_882 = select(a_859, i_881)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.46 tff(181,plain,
% 0.20/0.46 (select(a_859, i_881) = e_882),
% 0.20/0.46 inference(symmetry,[status(thm)],[180])).
% 0.20/0.46 tff(182,assumption,(i5 = i1), introduced(assumption)).
% 0.20/0.46 tff(183,plain,
% 0.20/0.46 (i1 = i5),
% 0.20/0.46 inference(symmetry,[status(thm)],[182])).
% 0.20/0.46 tff(184,assumption,(i2 = i1), introduced(assumption)).
% 0.20/0.46 tff(185,plain,
% 0.20/0.46 (i1 = i2),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[184, 78])).
% 0.20/0.46 tff(186,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[169, 185])).
% 0.20/0.46 tff(187,plain,((~(i2 = i1)) | (i1 = i2)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(188,plain,
% 0.20/0.46 (~(i2 = i1)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[187, 169])).
% 0.20/0.46 tff(189,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i1) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i1) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(190,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 = i1) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(191,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 = i1) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.20/0.46 tff(192,plain,
% 0.20/0.46 ((i2 = i1) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[191, 55])).
% 0.20/0.46 tff(193,plain,
% 0.20/0.46 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[192, 188])).
% 0.20/0.46 tff(194,plain,
% 0.20/0.46 (store(store(a_874, i2, e_875), i1, select(a_872, i5)) = store(a_876, i5, e_877)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[5, 183, 73])).
% 0.20/0.46 tff(195,plain,
% 0.20/0.46 (store(a_876, i5, e_877) = store(store(a_874, i2, e_875), i1, select(a_872, i5))),
% 0.20/0.46 inference(symmetry,[status(thm)],[194])).
% 0.20/0.46 tff(196,plain,
% 0.20/0.46 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[195])).
% 0.20/0.46 tff(197,plain,
% 0.20/0.46 (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.20/0.46 inference(symmetry,[status(thm)],[196])).
% 0.20/0.46 tff(198,assumption,(i1 = i0), introduced(assumption)).
% 0.20/0.46 tff(199,plain,
% 0.20/0.46 ((i2 = i5) <=> (i5 = i2)),
% 0.20/0.46 inference(commutativity,[status(thm)],[])).
% 0.20/0.46 tff(200,plain,
% 0.20/0.46 ((i5 = i2) <=> (i2 = i5)),
% 0.20/0.46 inference(symmetry,[status(thm)],[199])).
% 0.20/0.46 tff(201,plain,
% 0.20/0.46 ((i5 = i2) <=> (i1 = i2)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[182])).
% 0.20/0.46 tff(202,plain,
% 0.20/0.46 ((i1 = i2) <=> (i5 = i2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[201])).
% 0.20/0.46 tff(203,plain,
% 0.20/0.46 ((i1 = i2) <=> (i2 = i5)),
% 0.20/0.46 inference(transitivity,[status(thm)],[202, 200])).
% 0.20/0.46 tff(204,plain,
% 0.20/0.46 ((~(i1 = i2)) <=> (~(i2 = i5))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[203])).
% 0.20/0.46 tff(205,plain,
% 0.20/0.46 (~(i2 = i5)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[169, 204])).
% 0.20/0.46 tff(206,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), 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_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(207,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i5) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(208,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i5) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.46 tff(209,plain,
% 0.20/0.46 ((i2 = i5) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[208, 55])).
% 0.20/0.46 tff(210,plain,
% 0.20/0.46 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[209, 205])).
% 0.20/0.46 tff(211,plain,
% 0.20/0.46 ((i2 = i0) <=> (i0 = i2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[80])).
% 0.20/0.46 tff(212,plain,
% 0.20/0.46 (i0 = i1),
% 0.20/0.46 inference(symmetry,[status(thm)],[198])).
% 0.20/0.46 tff(213,plain,
% 0.20/0.46 ((i2 = i0) <=> (i2 = i1)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[212])).
% 0.20/0.46 tff(214,plain,
% 0.20/0.46 ((i2 = i0) <=> (i1 = i2)),
% 0.20/0.46 inference(transitivity,[status(thm)],[213, 78])).
% 0.20/0.46 tff(215,plain,
% 0.20/0.46 ((i1 = i2) <=> (i2 = i0)),
% 0.20/0.46 inference(symmetry,[status(thm)],[214])).
% 0.20/0.46 tff(216,plain,
% 0.20/0.46 ((i1 = i2) <=> (i0 = i2)),
% 0.20/0.46 inference(transitivity,[status(thm)],[215, 211])).
% 0.20/0.46 tff(217,plain,
% 0.20/0.46 ((~(i1 = i2)) <=> (~(i0 = i2))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[216])).
% 0.20/0.46 tff(218,plain,
% 0.20/0.46 (~(i0 = i2)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[169, 217])).
% 0.20/0.46 tff(219,plain,
% 0.20/0.46 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(220,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(221,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.20/0.46 tff(222,plain,
% 0.20/0.46 ((i0 = i2) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[221, 55])).
% 0.20/0.46 tff(223,plain,
% 0.20/0.46 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[222, 218])).
% 0.20/0.46 tff(224,plain,
% 0.20/0.46 (((~![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_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), 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_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(225,plain,
% 0.20/0.46 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(226,plain,
% 0.20/0.47 ((~![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_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.20/0.47 tff(227,plain,
% 0.20/0.47 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[226, 55, 169])).
% 0.20/0.47 tff(228,plain,
% 0.20/0.47 (((~![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_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), 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_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(229,plain,
% 0.20/0.47 ((~![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_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(230,plain,
% 0.20/0.47 ((~![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_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.20/0.47 tff(231,plain,
% 0.20/0.47 (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[230, 55, 169])).
% 0.20/0.47 tff(232,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 = sk(a_859, a_880)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(233,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 = sk(a_859, a_880)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(234,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 = sk(a_859, a_880)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.20/0.47 tff(235,plain,
% 0.20/0.47 ((i2 = sk(a_859, a_880)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[234, 55])).
% 0.20/0.47 tff(236,plain,
% 0.20/0.47 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[235, 49])).
% 0.20/0.47 tff(237,plain,
% 0.20/0.47 ((~(i1 = i2)) <=> (~(i5 = i2))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[202])).
% 0.20/0.47 tff(238,plain,
% 0.20/0.47 (~(i5 = i2)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[169, 237])).
% 0.20/0.47 tff(239,plain,
% 0.20/0.47 (((~![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_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), 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_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(240,plain,
% 0.20/0.47 ((~![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_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(241,plain,
% 0.20/0.47 ((~![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_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.20/0.47 tff(242,plain,
% 0.20/0.47 ((i5 = i2) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[241, 55])).
% 0.20/0.47 tff(243,plain,
% 0.20/0.47 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[242, 238])).
% 0.20/0.47 tff(244,plain,
% 0.20/0.47 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(245,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(246,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.20/0.47 tff(247,plain,
% 0.20/0.47 ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[246, 55])).
% 0.20/0.47 tff(248,plain,
% 0.20/0.47 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[247, 218])).
% 0.20/0.47 tff(249,assumption,(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))), introduced(assumption)).
% 0.20/0.47 tff(250,plain,
% 0.20/0.47 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880))),
% 0.20/0.47 inference(symmetry,[status(thm)],[249])).
% 0.20/0.47 tff(251,assumption,(i1 = sk(a_859, a_880)), introduced(assumption)).
% 0.20/0.47 tff(252,plain,
% 0.20/0.47 (sk(a_859, a_880) = i1),
% 0.20/0.47 inference(symmetry,[status(thm)],[251])).
% 0.20/0.47 tff(253,plain,
% 0.20/0.47 (sk(a_859, a_880) = i5),
% 0.20/0.47 inference(transitivity,[status(thm)],[252, 183])).
% 0.20/0.47 tff(254,plain,
% 0.20/0.47 (store(store(a_874, i2, e_875), i5, select(a_876, i2)) = store(a_876, i5, e_877)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[5, 65])).
% 0.20/0.47 tff(255,plain,
% 0.20/0.47 (store(a_876, i5, e_877) = store(store(a_874, i2, e_875), i5, select(a_876, i2))),
% 0.20/0.47 inference(symmetry,[status(thm)],[254])).
% 0.20/0.47 tff(256,plain,
% 0.20/0.47 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[255, 253])).
% 0.20/0.47 tff(257,plain,
% 0.20/0.47 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.20/0.47 inference(symmetry,[status(thm)],[256])).
% 0.20/0.47 tff(258,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(a_876, i2))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(259,plain,
% 0.20/0.47 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(a_876, i2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[258, 23])).
% 0.20/0.47 tff(260,plain,
% 0.20/0.47 (select(a_876, i2) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.20/0.47 inference(symmetry,[status(thm)],[259])).
% 0.20/0.47 tff(261,plain,
% 0.20/0.47 ((a_872 = store(a_871, i1, e_870)) <=> (a_872 = store(a_871, i1, e_870))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(262,axiom,(a_872 = store(a_871, i1, e_870)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp21')).
% 0.20/0.47 tff(263,plain,
% 0.20/0.47 (a_872 = store(a_871, i1, e_870)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.20/0.47 tff(264,plain,
% 0.20/0.47 (store(a_871, i1, e_870) = a_872),
% 0.20/0.47 inference(symmetry,[status(thm)],[263])).
% 0.20/0.47 tff(265,plain,
% 0.20/0.47 ((e_870 = select(a_869, i1)) <=> (e_870 = select(a_869, i1))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(266,axiom,(e_870 = select(a_869, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp43')).
% 0.20/0.47 tff(267,plain,
% 0.20/0.47 (e_870 = select(a_869, i1)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.20/0.47 tff(268,plain,
% 0.20/0.47 (select(a_869, i1) = e_870),
% 0.20/0.47 inference(symmetry,[status(thm)],[267])).
% 0.20/0.47 tff(269,plain,
% 0.20/0.47 ((a_871 = store(a_869, i1, e_870)) <=> (a_871 = store(a_869, i1, e_870))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(270,axiom,(a_871 = store(a_869, i1, e_870)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp20')).
% 0.20/0.47 tff(271,plain,
% 0.20/0.47 (a_871 = store(a_869, i1, e_870)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.20/0.47 tff(272,plain,
% 0.20/0.47 (store(a_869, i1, e_870) = a_871),
% 0.20/0.47 inference(symmetry,[status(thm)],[271])).
% 0.20/0.47 tff(273,plain,
% 0.20/0.47 (store(store(a_869, i1, e_870), i1, select(a_869, i1)) = store(a_871, i1, e_870)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[272, 268])).
% 0.20/0.47 tff(274,plain,
% 0.20/0.47 (store(store(a_869, i1, e_870), i1, select(a_869, i1)) = a_872),
% 0.20/0.47 inference(transitivity,[status(thm)],[273, 264])).
% 0.20/0.47 tff(275,plain,
% 0.20/0.47 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_872, i5)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[274, 183])).
% 0.20/0.47 tff(276,plain,
% 0.20/0.47 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_869, i1))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(277,plain,
% 0.20/0.47 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_869, i1)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[276, 23])).
% 0.20/0.47 tff(278,plain,
% 0.20/0.47 (select(a_869, i1) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[277])).
% 0.20/0.47 tff(279,plain,
% 0.20/0.47 ((a_869 = store(a_867, i2, e_868)) <=> (a_869 = store(a_867, i2, e_868))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(280,axiom,(a_869 = store(a_867, i2, e_868)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp19')).
% 0.20/0.47 tff(281,plain,
% 0.20/0.47 (a_869 = store(a_867, i2, e_868)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.20/0.47 tff(282,plain,
% 0.20/0.47 (store(a_867, i2, e_868) = a_869),
% 0.20/0.47 inference(symmetry,[status(thm)],[281])).
% 0.20/0.47 tff(283,plain,
% 0.20/0.47 (store(store(a_865, i5, e_866), i2, select(a_865, i5)) = store(a_867, i2, e_868)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[140, 85])).
% 0.20/0.47 tff(284,plain,
% 0.20/0.47 (store(store(a_865, i5, e_866), i2, select(a_865, i5)) = a_869),
% 0.20/0.47 inference(transitivity,[status(thm)],[283, 282])).
% 0.20/0.47 tff(285,plain,
% 0.20/0.47 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(a_869, i1)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[284])).
% 0.20/0.47 tff(286,assumption,(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)), introduced(assumption)).
% 0.20/0.47 tff(287,plain,
% 0.20/0.47 (select(store(a_865, i5, e_866), i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[286])).
% 0.20/0.47 tff(288,plain,
% 0.20/0.47 ((e_866 = select(a_865, i2)) <=> (e_866 = select(a_865, i2))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(289,axiom,(e_866 = select(a_865, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp41')).
% 0.20/0.47 tff(290,plain,
% 0.20/0.47 (e_866 = select(a_865, i2)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.20/0.48 tff(291,plain,
% 0.20/0.48 (select(a_865, i2) = e_866),
% 0.20/0.48 inference(symmetry,[status(thm)],[290])).
% 0.20/0.48 tff(292,plain,
% 0.20/0.48 (store(store(a_863, i0, e_864), i5, select(a_865, i2)) = store(a_865, i5, e_866)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[129, 291])).
% 0.20/0.48 tff(293,plain,
% 0.20/0.48 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), i1)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[292, 182])).
% 0.20/0.48 tff(294,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(a_865, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(295,plain,
% 0.20/0.48 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(a_865, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[294, 23])).
% 0.20/0.48 tff(296,plain,
% 0.20/0.48 (select(a_865, i2) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[295])).
% 0.20/0.48 tff(297,plain,
% 0.20/0.48 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(a_865, i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[130])).
% 0.20/0.48 tff(298,assumption,(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)), introduced(assumption)).
% 0.20/0.48 tff(299,plain,
% 0.20/0.48 (select(store(a_861, i5, e_862), i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.20/0.48 inference(symmetry,[status(thm)],[298])).
% 0.20/0.48 tff(300,plain,
% 0.20/0.48 (i0 = i5),
% 0.20/0.48 inference(transitivity,[status(thm)],[212, 183])).
% 0.20/0.48 tff(301,plain,
% 0.20/0.48 (select(a_861, i0) = select(a_861, i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[300])).
% 0.20/0.48 tff(302,plain,
% 0.20/0.48 (select(a_861, i5) = select(a_861, i0)),
% 0.20/0.48 inference(symmetry,[status(thm)],[301])).
% 0.20/0.48 tff(303,plain,
% 0.20/0.48 ((e_837 = select(a_836, i1)) <=> (e_837 = select(a_836, i1))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(304,axiom,(e_837 = select(a_836, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp28')).
% 0.20/0.48 tff(305,plain,
% 0.20/0.48 (e_837 = select(a_836, i1)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.20/0.48 tff(306,plain,
% 0.20/0.48 (select(a_836, i1) = e_837),
% 0.20/0.48 inference(symmetry,[status(thm)],[305])).
% 0.20/0.48 tff(307,plain,
% 0.20/0.48 ((a_860 = store(a_836, i1, e_839)) <=> (a_860 = store(a_836, i1, e_839))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(308,axiom,(a_860 = store(a_836, i1, e_839)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp14')).
% 0.20/0.48 tff(309,plain,
% 0.20/0.48 (a_860 = store(a_836, i1, e_839)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[308, 307])).
% 0.20/0.48 tff(310,plain,
% 0.20/0.48 (store(a_836, i1, e_839) = a_860),
% 0.20/0.48 inference(symmetry,[status(thm)],[309])).
% 0.20/0.48 tff(311,plain,
% 0.20/0.48 (store(store(a_836, i1, e_839), i2, select(a_836, i1)) = store(a_860, i2, e_837)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[310, 306])).
% 0.20/0.48 tff(312,plain,
% 0.20/0.48 (store(a_860, i2, e_837) = store(store(a_836, i1, e_839), i2, select(a_836, i1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[311])).
% 0.20/0.48 tff(313,plain,
% 0.20/0.48 (a_861 = store(store(a_836, i1, e_839), i2, select(a_836, i1))),
% 0.20/0.48 inference(transitivity,[status(thm)],[108, 312])).
% 0.20/0.48 tff(314,plain,
% 0.20/0.48 (select(a_861, i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[313])).
% 0.20/0.48 tff(315,plain,
% 0.20/0.48 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(a_861, i5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[314])).
% 0.20/0.48 tff(316,assumption,(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)), introduced(assumption)).
% 0.20/0.48 tff(317,plain,
% 0.20/0.48 (select(store(a_836, i1, e_839), i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[316])).
% 0.20/0.48 tff(318,plain,
% 0.20/0.48 ((a_836 = store(a_834, i3, e_835)) <=> (a_836 = store(a_834, i3, e_835))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(319,axiom,(a_836 = store(a_834, i3, e_835)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp1')).
% 0.20/0.48 tff(320,plain,
% 0.20/0.48 (a_836 = store(a_834, i3, e_835)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.20/0.48 tff(321,plain,
% 0.20/0.48 (store(a_834, i3, e_835) = a_836),
% 0.20/0.48 inference(symmetry,[status(thm)],[320])).
% 0.20/0.48 tff(322,plain,
% 0.20/0.48 (store(store(a_834, i3, e_835), i1, select(a_836, i2)) = store(a_836, i1, e_839)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[321, 151])).
% 0.20/0.48 tff(323,plain,
% 0.20/0.48 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i1, select(a_836, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[322])).
% 0.20/0.48 tff(324,plain,
% 0.20/0.48 (select(store(a_836, i1, e_839), i5) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[323, 182])).
% 0.20/0.48 tff(325,plain,
% 0.20/0.48 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(store(a_836, i1, e_839), i5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[324])).
% 0.20/0.48 tff(326,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(a_836, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(327,plain,
% 0.20/0.48 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(a_836, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[326, 23])).
% 0.20/0.48 tff(328,plain,
% 0.20/0.48 (select(a_836, i2) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1)),
% 0.20/0.48 inference(symmetry,[status(thm)],[327])).
% 0.20/0.48 tff(329,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_836, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(330,plain,
% 0.20/0.48 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_836, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[329, 23])).
% 0.20/0.48 tff(331,plain,
% 0.20/0.48 ((a_838 = store(a_836, i2, e_837)) <=> (a_838 = store(a_836, i2, e_837))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(332,axiom,(a_838 = store(a_836, i2, e_837)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp2')).
% 0.20/0.48 tff(333,plain,
% 0.20/0.48 (a_838 = store(a_836, i2, e_837)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.20/0.48 tff(334,plain,
% 0.20/0.48 (store(a_836, i2, e_837) = a_838),
% 0.20/0.48 inference(symmetry,[status(thm)],[333])).
% 0.20/0.48 tff(335,plain,
% 0.20/0.48 (store(store(a_836, i2, e_837), i1, select(a_836, i2)) = store(a_838, i1, e_839)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[334, 151])).
% 0.20/0.48 tff(336,plain,
% 0.20/0.48 (store(store(a_836, i2, e_837), i1, select(a_836, i2)) = a_840),
% 0.20/0.48 inference(transitivity,[status(thm)],[335, 147])).
% 0.20/0.48 tff(337,plain,
% 0.20/0.48 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_840, i0)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[336, 198])).
% 0.20/0.48 tff(338,plain,
% 0.20/0.48 (select(a_840, i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.20/0.48 inference(symmetry,[status(thm)],[337])).
% 0.20/0.48 tff(339,plain,
% 0.20/0.48 (select(a_840, i0) = e_862),
% 0.20/0.48 inference(transitivity,[status(thm)],[338, 330, 328, 325, 317, 315, 302, 105])).
% 0.20/0.48 tff(340,plain,
% 0.20/0.48 (store(store(a_860, i2, e_837), i1, select(a_840, i0)) = store(a_861, i5, e_862)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[109, 183, 339])).
% 0.20/0.48 tff(341,plain,
% 0.20/0.48 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[340])).
% 0.20/0.48 tff(342,assumption,(select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2)), introduced(assumption)).
% 0.20/0.48 tff(343,plain,
% 0.20/0.48 (select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2)),
% 0.20/0.48 inference(symmetry,[status(thm)],[342])).
% 0.20/0.48 tff(344,plain,
% 0.20/0.48 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(store(a_860, i2, e_837), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[311])).
% 0.20/0.48 tff(345,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_836, i1))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(346,plain,
% 0.20/0.48 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_836, i1)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[345, 23])).
% 0.20/0.48 tff(347,plain,
% 0.20/0.48 (select(a_836, i1) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.20/0.48 inference(symmetry,[status(thm)],[346])).
% 0.20/0.48 tff(348,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(a_836, i1))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(349,plain,
% 0.20/0.48 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(a_836, i1)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[348, 23])).
% 0.20/0.48 tff(350,plain,
% 0.20/0.48 (store(store(a_834, i3, e_835), i2, select(a_836, i1)) = store(a_836, i2, e_837)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[321, 306])).
% 0.20/0.48 tff(351,plain,
% 0.20/0.48 (store(a_836, i2, e_837) = store(store(a_834, i3, e_835), i2, select(a_836, i1))),
% 0.20/0.48 inference(symmetry,[status(thm)],[350])).
% 0.20/0.48 tff(352,plain,
% 0.20/0.48 (select(store(a_836, i2, e_837), i2) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[351])).
% 0.20/0.48 tff(353,assumption,(select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)), introduced(assumption)).
% 0.20/0.48 tff(354,plain,
% 0.20/0.48 (select(a_840, i0) = e_839),
% 0.20/0.48 inference(transitivity,[status(thm)],[338, 330, 151])).
% 0.20/0.48 tff(355,plain,
% 0.20/0.48 (store(store(a_836, i2, e_837), i1, select(a_840, i0)) = store(a_838, i1, e_839)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[334, 354])).
% 0.20/0.48 tff(356,plain,
% 0.20/0.48 (store(a_838, i1, e_839) = store(store(a_836, i2, e_837), i1, select(a_840, i0))),
% 0.20/0.48 inference(symmetry,[status(thm)],[355])).
% 0.20/0.48 tff(357,plain,
% 0.20/0.48 (select(store(a_838, i1, e_839), i2) = select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[356])).
% 0.20/0.48 tff(358,assumption,(select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)), introduced(assumption)).
% 0.20/0.48 tff(359,plain,
% 0.20/0.48 ((e_841 = select(a_840, i5)) <=> (e_841 = select(a_840, i5))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(360,axiom,(e_841 = select(a_840, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp30')).
% 0.20/0.48 tff(361,plain,
% 0.20/0.48 (e_841 = select(a_840, i5)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.20/0.48 tff(362,plain,
% 0.20/0.48 (select(a_840, i5) = e_841),
% 0.20/0.48 inference(symmetry,[status(thm)],[361])).
% 0.20/0.48 tff(363,plain,
% 0.20/0.48 (store(a_838, i1, e_839) = store(store(a_836, i2, e_837), i1, select(a_836, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[335])).
% 0.20/0.48 tff(364,plain,
% 0.20/0.48 (a_840 = store(store(a_836, i2, e_837), i1, select(a_836, i2))),
% 0.20/0.48 inference(transitivity,[status(thm)],[146, 363])).
% 0.20/0.48 tff(365,plain,
% 0.20/0.48 (select(a_840, i5) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[364, 182])).
% 0.20/0.48 tff(366,plain,
% 0.20/0.48 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_840, i5)),
% 0.20/0.48 inference(symmetry,[status(thm)],[365])).
% 0.20/0.48 tff(367,plain,
% 0.20/0.48 (select(a_836, i2) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.20/0.48 inference(symmetry,[status(thm)],[330])).
% 0.20/0.48 tff(368,plain,
% 0.20/0.48 (select(a_836, i2) = e_841),
% 0.20/0.48 inference(transitivity,[status(thm)],[367, 366, 362])).
% 0.20/0.48 tff(369,plain,
% 0.20/0.48 (store(store(a_838, i1, e_839), i0, select(a_836, i2)) = store(a_840, i0, e_841)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[147, 368])).
% 0.20/0.48 tff(370,plain,
% 0.20/0.48 (store(a_840, i0, e_841) = store(store(a_838, i1, e_839), i0, select(a_836, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[369])).
% 0.20/0.48 tff(371,plain,
% 0.20/0.48 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[370])).
% 0.20/0.48 tff(372,assumption,(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)), introduced(assumption)).
% 0.20/0.48 tff(373,plain,
% 0.20/0.48 ((e_843 = select(a_840, i0)) <=> (e_843 = select(a_840, i0))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(374,axiom,(e_843 = select(a_840, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp31')).
% 0.20/0.48 tff(375,plain,
% 0.20/0.48 (e_843 = select(a_840, i0)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.20/0.48 tff(376,plain,
% 0.20/0.48 (select(a_840, i0) = e_843),
% 0.20/0.48 inference(symmetry,[status(thm)],[375])).
% 0.20/0.48 tff(377,plain,
% 0.20/0.48 ((a_842 = store(a_840, i0, e_841)) <=> (a_842 = store(a_840, i0, e_841))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(378,axiom,(a_842 = store(a_840, i0, e_841)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp4')).
% 0.20/0.48 tff(379,plain,
% 0.20/0.48 (a_842 = store(a_840, i0, e_841)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.20/0.48 tff(380,plain,
% 0.20/0.48 (store(a_840, i0, e_841) = a_842),
% 0.20/0.48 inference(symmetry,[status(thm)],[379])).
% 0.20/0.48 tff(381,plain,
% 0.20/0.48 (store(store(a_840, i0, e_841), i5, select(a_840, i0)) = store(a_842, i5, e_843)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[380, 376])).
% 0.20/0.48 tff(382,plain,
% 0.20/0.48 (store(a_842, i5, e_843) = store(store(a_840, i0, e_841), i5, select(a_840, i0))),
% 0.20/0.48 inference(symmetry,[status(thm)],[381])).
% 0.20/0.48 tff(383,plain,
% 0.20/0.48 ((a_844 = store(a_842, i5, e_843)) <=> (a_844 = store(a_842, i5, e_843))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(384,axiom,(a_844 = store(a_842, i5, e_843)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp5')).
% 0.20/0.48 tff(385,plain,
% 0.20/0.48 (a_844 = store(a_842, i5, e_843)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.20/0.48 tff(386,plain,
% 0.20/0.48 (a_844 = store(store(a_840, i0, e_841), i5, select(a_840, i0))),
% 0.20/0.48 inference(transitivity,[status(thm)],[385, 382])).
% 0.20/0.48 tff(387,plain,
% 0.20/0.48 (select(a_844, i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.48 tff(388,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(a_844, i2))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(389,plain,
% 0.20/0.48 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(a_844, i2)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[388, 23])).
% 0.20/0.48 tff(390,plain,
% 0.20/0.48 ((e_847 = select(a_844, i2)) <=> (e_847 = select(a_844, i2))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(391,axiom,(e_847 = select(a_844, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp33')).
% 0.20/0.48 tff(392,plain,
% 0.20/0.48 (e_847 = select(a_844, i2)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[391, 390])).
% 0.20/0.48 tff(393,plain,
% 0.20/0.48 (select(a_844, i2) = e_847),
% 0.20/0.48 inference(symmetry,[status(thm)],[392])).
% 0.20/0.48 tff(394,plain,
% 0.20/0.48 ((a_846 = store(a_844, i2, e_845)) <=> (a_846 = store(a_844, i2, e_845))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(395,axiom,(a_846 = store(a_844, i2, e_845)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp6')).
% 0.20/0.48 tff(396,plain,
% 0.20/0.48 (a_846 = store(a_844, i2, e_845)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[395, 394])).
% 0.20/0.48 tff(397,plain,
% 0.20/0.48 (store(a_844, i2, e_845) = a_846),
% 0.20/0.48 inference(symmetry,[status(thm)],[396])).
% 0.20/0.48 tff(398,plain,
% 0.20/0.48 (store(store(a_844, i2, e_845), i5, select(a_844, i2)) = store(a_846, i5, e_847)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[397, 393])).
% 0.20/0.48 tff(399,plain,
% 0.20/0.48 (store(a_846, i5, e_847) = store(store(a_844, i2, e_845), i5, select(a_844, i2))),
% 0.20/0.48 inference(symmetry,[status(thm)],[398])).
% 0.20/0.48 tff(400,plain,
% 0.20/0.48 ((a_848 = store(a_846, i5, e_847)) <=> (a_848 = store(a_846, i5, e_847))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(401,axiom,(a_848 = store(a_846, i5, e_847)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp7')).
% 0.20/0.48 tff(402,plain,
% 0.20/0.48 (a_848 = store(a_846, i5, e_847)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.20/0.48 tff(403,plain,
% 0.20/0.48 (a_848 = store(store(a_844, i2, e_845), i5, select(a_844, i2))),
% 0.20/0.48 inference(transitivity,[status(thm)],[402, 399])).
% 0.20/0.48 tff(404,plain,
% 0.20/0.48 (select(a_848, i1) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[403, 183])).
% 0.20/0.48 tff(405,plain,
% 0.20/0.48 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1) = select(a_848, i1))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(406,plain,
% 0.20/0.49 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1) = select(a_848, i1)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[405, 23])).
% 0.20/0.49 tff(407,plain,
% 0.20/0.49 ((e_849 = select(a_848, i1)) <=> (e_849 = select(a_848, i1))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(408,axiom,(e_849 = select(a_848, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp34')).
% 0.20/0.49 tff(409,plain,
% 0.20/0.49 (e_849 = select(a_848, i1)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.20/0.49 tff(410,plain,
% 0.20/0.49 (select(a_848, i1) = e_849),
% 0.20/0.49 inference(symmetry,[status(thm)],[409])).
% 0.20/0.49 tff(411,plain,
% 0.20/0.49 ((a_850 = store(a_848, i1, e_849)) <=> (a_850 = store(a_848, i1, e_849))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(412,axiom,(a_850 = store(a_848, i1, e_849)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp8')).
% 0.20/0.49 tff(413,plain,
% 0.20/0.49 (a_850 = store(a_848, i1, e_849)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.20/0.49 tff(414,plain,
% 0.20/0.49 (store(a_848, i1, e_849) = a_850),
% 0.20/0.49 inference(symmetry,[status(thm)],[413])).
% 0.20/0.49 tff(415,plain,
% 0.20/0.49 (store(store(a_848, i1, e_849), i1, select(a_848, i1)) = store(a_850, i1, e_849)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[414, 410])).
% 0.20/0.49 tff(416,plain,
% 0.20/0.49 (store(a_850, i1, e_849) = store(store(a_848, i1, e_849), i1, select(a_848, i1))),
% 0.20/0.49 inference(symmetry,[status(thm)],[415])).
% 0.20/0.49 tff(417,plain,
% 0.20/0.49 ((a_851 = store(a_850, i1, e_849)) <=> (a_851 = store(a_850, i1, e_849))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(418,axiom,(a_851 = store(a_850, i1, e_849)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp9')).
% 0.20/0.49 tff(419,plain,
% 0.20/0.49 (a_851 = store(a_850, i1, e_849)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.20/0.49 tff(420,plain,
% 0.20/0.49 (a_851 = store(store(a_848, i1, e_849), i1, select(a_848, i1))),
% 0.20/0.49 inference(transitivity,[status(thm)],[419, 416])).
% 0.20/0.49 tff(421,plain,
% 0.20/0.49 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[420, 182])).
% 0.20/0.49 tff(422,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i2) = select(a_851, i5))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(423,plain,
% 0.20/0.49 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i2) = select(a_851, i5)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[422, 23])).
% 0.20/0.49 tff(424,plain,
% 0.20/0.49 ((e_854 = select(a_851, i5)) <=> (e_854 = select(a_851, i5))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(425,axiom,(e_854 = select(a_851, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp36')).
% 0.20/0.49 tff(426,plain,
% 0.20/0.49 (e_854 = select(a_851, i5)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.20/0.49 tff(427,plain,
% 0.20/0.49 (select(a_851, i5) = e_854),
% 0.20/0.49 inference(symmetry,[status(thm)],[426])).
% 0.20/0.49 tff(428,plain,
% 0.20/0.49 ((a_853 = store(a_851, i5, e_852)) <=> (a_853 = store(a_851, i5, e_852))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(429,axiom,(a_853 = store(a_851, i5, e_852)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp10')).
% 0.20/0.49 tff(430,plain,
% 0.20/0.49 (a_853 = store(a_851, i5, e_852)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.20/0.49 tff(431,plain,
% 0.20/0.49 (store(a_851, i5, e_852) = a_853),
% 0.20/0.49 inference(symmetry,[status(thm)],[430])).
% 0.20/0.49 tff(432,plain,
% 0.20/0.49 (store(store(a_851, i5, e_852), i2, select(a_851, i5)) = store(a_853, i2, e_854)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[431, 427])).
% 0.20/0.49 tff(433,plain,
% 0.20/0.49 (store(a_853, i2, e_854) = store(store(a_851, i5, e_852), i2, select(a_851, i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[432])).
% 0.20/0.49 tff(434,plain,
% 0.20/0.49 ((a_855 = store(a_853, i2, e_854)) <=> (a_855 = store(a_853, i2, e_854))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(435,axiom,(a_855 = store(a_853, i2, e_854)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp11')).
% 0.20/0.49 tff(436,plain,
% 0.20/0.49 (a_855 = store(a_853, i2, e_854)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.20/0.49 tff(437,plain,
% 0.20/0.49 (a_855 = store(store(a_851, i5, e_852), i2, select(a_851, i5))),
% 0.20/0.49 inference(transitivity,[status(thm)],[436, 433])).
% 0.20/0.49 tff(438,plain,
% 0.20/0.49 (select(a_855, i2) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[437])).
% 0.20/0.49 tff(439,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5) = select(a_855, i2))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(440,plain,
% 0.20/0.49 (select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5) = select(a_855, i2)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[439, 23])).
% 0.20/0.49 tff(441,plain,
% 0.20/0.49 ((e_856 = select(a_855, i2)) <=> (e_856 = select(a_855, i2))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(442,axiom,(e_856 = select(a_855, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp37')).
% 0.20/0.49 tff(443,plain,
% 0.20/0.49 (e_856 = select(a_855, i2)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[442, 441])).
% 0.20/0.49 tff(444,plain,
% 0.20/0.49 (select(a_855, i2) = e_856),
% 0.20/0.49 inference(symmetry,[status(thm)],[443])).
% 0.20/0.49 tff(445,plain,
% 0.20/0.49 (store(a_853, i2, e_854) = a_855),
% 0.20/0.49 inference(symmetry,[status(thm)],[436])).
% 0.20/0.49 tff(446,plain,
% 0.20/0.49 (store(store(a_853, i2, e_854), i5, select(a_855, i2)) = store(a_855, i5, e_856)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[445, 444])).
% 0.20/0.49 tff(447,plain,
% 0.20/0.49 (store(a_855, i5, e_856) = store(store(a_853, i2, e_854), i5, select(a_855, i2))),
% 0.20/0.49 inference(symmetry,[status(thm)],[446])).
% 0.20/0.49 tff(448,plain,
% 0.20/0.49 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[447, 253])).
% 0.20/0.49 tff(449,assumption,(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))), introduced(assumption)).
% 0.20/0.49 tff(450,plain,
% 0.20/0.49 ((e_858 = select(a_855, i5)) <=> (e_858 = select(a_855, i5))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(451,axiom,(e_858 = select(a_855, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp38')).
% 0.20/0.49 tff(452,plain,
% 0.20/0.49 (e_858 = select(a_855, i5)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.20/0.49 tff(453,plain,
% 0.20/0.49 (select(a_855, i5) = e_858),
% 0.20/0.49 inference(symmetry,[status(thm)],[452])).
% 0.20/0.49 tff(454,plain,
% 0.20/0.49 ((a_857 = store(a_855, i5, e_856)) <=> (a_857 = store(a_855, i5, e_856))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(455,axiom,(a_857 = store(a_855, i5, e_856)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp12')).
% 0.20/0.49 tff(456,plain,
% 0.20/0.49 (a_857 = store(a_855, i5, e_856)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.20/0.49 tff(457,plain,
% 0.20/0.49 (store(a_855, i5, e_856) = a_857),
% 0.20/0.49 inference(symmetry,[status(thm)],[456])).
% 0.20/0.49 tff(458,plain,
% 0.20/0.49 (store(store(a_855, i5, e_856), i2, select(a_855, i5)) = store(a_857, i2, e_858)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[457, 453])).
% 0.20/0.49 tff(459,plain,
% 0.20/0.49 (store(a_857, i2, e_858) = store(store(a_855, i5, e_856), i2, select(a_855, i5))),
% 0.20/0.49 inference(symmetry,[status(thm)],[458])).
% 0.20/0.49 tff(460,plain,
% 0.20/0.49 ((a_859 = store(a_857, i2, e_858)) <=> (a_859 = store(a_857, i2, e_858))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(461,axiom,(a_859 = store(a_857, i2, e_858)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp13')).
% 0.20/0.49 tff(462,plain,
% 0.20/0.49 (a_859 = store(a_857, i2, e_858)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[461, 460])).
% 0.20/0.49 tff(463,plain,
% 0.20/0.49 (a_859 = store(store(a_855, i5, e_856), i2, select(a_855, i5))),
% 0.20/0.49 inference(transitivity,[status(thm)],[462, 459])).
% 0.20/0.49 tff(464,plain,
% 0.20/0.49 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[463, 32])).
% 0.20/0.49 tff(465,plain,
% 0.20/0.49 (e_882 = e_883),
% 0.20/0.49 inference(transitivity,[status(thm)],[180, 464, 449, 448, 440, 438, 423, 421, 406, 404, 389, 387, 372, 371, 358, 357, 353, 352, 349, 347, 344, 343, 341, 299, 297, 296, 293, 287, 285, 278, 275, 72, 69, 260, 257, 250, 48, 29])).
% 0.20/0.49 tff(466,plain,
% 0.20/0.49 ((~(e_882 = e_883)) <=> (~(e_882 = e_883))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(467,axiom,(~(e_882 = e_883)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goal')).
% 0.20/0.49 tff(468,plain,
% 0.20/0.49 (~(e_882 = e_883)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[467, 466])).
% 0.20/0.49 tff(469,plain,
% 0.20/0.49 ($false),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[468, 465])).
% 0.20/0.49 tff(470,plain,((~(i1 = sk(a_859, a_880))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2))) | (~(select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_860, i2, e_837), i2))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(i1 = i0)) | (~(i5 = i1))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49 tff(471,plain,
% 0.20/0.49 (~(i1 = sk(a_859, a_880))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[470, 248, 243, 236, 231, 227, 223, 193, 60, 210, 198, 182])).
% 0.20/0.49 tff(472,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 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(473,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 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(474,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 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[473, 472])).
% 0.20/0.49 tff(475,plain,
% 0.20/0.49 ((i1 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[474, 55])).
% 0.20/0.49 tff(476,plain,
% 0.20/0.49 (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[475, 471])).
% 0.20/0.49 tff(477,plain,
% 0.20/0.49 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.49 inference(symmetry,[status(thm)],[476])).
% 0.20/0.49 tff(478,plain,
% 0.20/0.49 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.49 tff(479,plain,
% 0.20/0.49 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.20/0.49 inference(symmetry,[status(thm)],[478])).
% 0.20/0.49 tff(480,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(481,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(482,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[481, 480])).
% 0.20/0.49 tff(483,plain,
% 0.20/0.49 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[482, 55, 49])).
% 0.20/0.49 tff(484,plain,
% 0.20/0.49 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.49 inference(symmetry,[status(thm)],[483])).
% 0.20/0.49 tff(485,plain,
% 0.20/0.49 ((e_873 = select(a_872, i2)) <=> (e_873 = select(a_872, i2))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(486,axiom,(e_873 = select(a_872, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp44')).
% 0.20/0.49 tff(487,plain,
% 0.20/0.49 (e_873 = select(a_872, i2)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.20/0.49 tff(488,plain,
% 0.20/0.49 (select(a_872, i2) = e_873),
% 0.20/0.49 inference(symmetry,[status(thm)],[487])).
% 0.20/0.49 tff(489,plain,
% 0.20/0.49 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_869, i1))),
% 0.20/0.49 inference(symmetry,[status(thm)],[273])).
% 0.20/0.49 tff(490,plain,
% 0.20/0.49 (a_872 = store(store(a_869, i1, e_870), i1, select(a_869, i1))),
% 0.20/0.49 inference(transitivity,[status(thm)],[263, 489])).
% 0.20/0.49 tff(491,plain,
% 0.20/0.49 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[490])).
% 0.20/0.49 tff(492,plain,
% 0.20/0.49 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(a_872, i2)),
% 0.20/0.49 inference(symmetry,[status(thm)],[491])).
% 0.20/0.49 tff(493,plain,
% 0.20/0.49 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), 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_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(494,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(495,plain,
% 0.20/0.49 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.20/0.49 tff(496,plain,
% 0.20/0.49 ((i1 = i2) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[495, 55])).
% 0.20/0.49 tff(497,plain,
% 0.20/0.49 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[496, 169])).
% 0.20/0.49 tff(498,plain,
% 0.20/0.49 (select(store(a_869, i1, e_870), i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2)),
% 0.20/0.49 inference(symmetry,[status(thm)],[497])).
% 0.20/0.49 tff(499,plain,
% 0.20/0.49 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.20/0.50 inference(symmetry,[status(thm)],[275])).
% 0.20/0.50 tff(500,plain,
% 0.20/0.50 (select(a_872, i5) = e_870),
% 0.20/0.50 inference(transitivity,[status(thm)],[499, 277, 268])).
% 0.20/0.50 tff(501,plain,
% 0.20/0.50 (store(store(a_867, i2, e_868), i1, select(a_872, i5)) = store(a_869, i1, e_870)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[282, 500])).
% 0.20/0.50 tff(502,plain,
% 0.20/0.50 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_872, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[501])).
% 0.20/0.50 tff(503,plain,
% 0.20/0.50 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[502])).
% 0.20/0.50 tff(504,plain,
% 0.20/0.50 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.20/0.50 inference(symmetry,[status(thm)],[503])).
% 0.20/0.50 tff(505,plain,
% 0.20/0.50 (((~![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_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), 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_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(506,plain,
% 0.20/0.50 ((~![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_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(507,plain,
% 0.20/0.50 ((~![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_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[506, 505])).
% 0.20/0.50 tff(508,plain,
% 0.20/0.50 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[507, 55, 169])).
% 0.20/0.50 tff(509,plain,
% 0.20/0.50 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2)),
% 0.20/0.50 inference(symmetry,[status(thm)],[508])).
% 0.20/0.50 tff(510,plain,
% 0.20/0.50 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_865, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[283])).
% 0.20/0.50 tff(511,plain,
% 0.20/0.50 (select(store(a_867, i2, e_868), i2) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[510])).
% 0.20/0.50 tff(512,plain,
% 0.20/0.50 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.20/0.50 inference(symmetry,[status(thm)],[511])).
% 0.20/0.50 tff(513,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(a_865, i5))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(514,plain,
% 0.20/0.50 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(a_865, i5)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[513, 23])).
% 0.20/0.50 tff(515,plain,
% 0.20/0.50 (select(a_865, i5) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.20/0.50 inference(symmetry,[status(thm)],[514])).
% 0.20/0.50 tff(516,plain,
% 0.20/0.50 (i5 = i0),
% 0.20/0.50 inference(transitivity,[status(thm)],[182, 198])).
% 0.20/0.50 tff(517,plain,
% 0.20/0.50 (select(a_865, i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[99, 516])).
% 0.20/0.50 tff(518,plain,
% 0.20/0.50 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(a_865, i5)),
% 0.20/0.50 inference(symmetry,[status(thm)],[517])).
% 0.20/0.50 tff(519,plain,
% 0.20/0.50 (select(a_861, i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.20/0.50 inference(symmetry,[status(thm)],[126])).
% 0.20/0.50 tff(520,plain,
% 0.20/0.50 (select(store(a_836, i1, e_839), i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5)),
% 0.20/0.50 inference(symmetry,[status(thm)],[210])).
% 0.20/0.50 tff(521,plain,
% 0.20/0.50 (select(a_840, i0) = e_873),
% 0.20/0.50 inference(transitivity,[status(thm)],[338, 330, 328, 325, 520, 315, 519, 518, 515, 512, 509, 504, 498, 492, 488])).
% 0.20/0.50 tff(522,plain,
% 0.20/0.50 (store(store(a_871, i1, e_870), i1, select(a_840, i0)) = store(a_872, i5, e_873)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[264, 183, 521])).
% 0.20/0.50 tff(523,plain,
% 0.20/0.50 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i1, select(a_840, i0))),
% 0.20/0.50 inference(symmetry,[status(thm)],[522])).
% 0.20/0.50 tff(524,plain,
% 0.20/0.50 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[523])).
% 0.20/0.50 tff(525,plain,
% 0.20/0.50 (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[524])).
% 0.20/0.50 tff(526,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(527,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(528,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[527, 526])).
% 0.20/0.50 tff(529,plain,
% 0.20/0.50 (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[528, 55, 471])).
% 0.20/0.50 tff(530,plain,
% 0.20/0.50 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[529])).
% 0.20/0.50 tff(531,plain,
% 0.20/0.50 (store(store(a_869, i1, e_870), i1, select(a_872, i5)) = store(a_871, i1, e_870)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[272, 500])).
% 0.20/0.50 tff(532,plain,
% 0.20/0.50 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_872, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[531])).
% 0.20/0.50 tff(533,plain,
% 0.20/0.50 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[532])).
% 0.20/0.50 tff(534,plain,
% 0.20/0.50 (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[533])).
% 0.20/0.50 tff(535,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(536,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(537,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[536, 535])).
% 0.20/0.50 tff(538,plain,
% 0.20/0.50 (select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[537, 55, 471])).
% 0.20/0.50 tff(539,plain,
% 0.20/0.50 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[538])).
% 0.20/0.50 tff(540,plain,
% 0.20/0.50 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[502])).
% 0.20/0.50 tff(541,plain,
% 0.20/0.50 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[540])).
% 0.20/0.50 tff(542,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(543,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(544,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[543, 542])).
% 0.20/0.50 tff(545,plain,
% 0.20/0.50 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[544, 55, 471])).
% 0.20/0.50 tff(546,plain,
% 0.20/0.50 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[545])).
% 0.20/0.50 tff(547,plain,
% 0.20/0.50 (select(a_840, i0) = e_868),
% 0.20/0.50 inference(transitivity,[status(thm)],[338, 330, 328, 325, 520, 315, 519, 518, 85])).
% 0.20/0.50 tff(548,plain,
% 0.20/0.50 (store(store(a_865, i5, e_866), i2, select(a_840, i0)) = store(a_867, i2, e_868)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[140, 547])).
% 0.20/0.50 tff(549,plain,
% 0.20/0.50 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_840, i0))),
% 0.20/0.50 inference(symmetry,[status(thm)],[548])).
% 0.20/0.50 tff(550,plain,
% 0.20/0.50 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[549])).
% 0.20/0.50 tff(551,plain,
% 0.20/0.50 (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[550])).
% 0.20/0.50 tff(552,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(553,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(554,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[553, 552])).
% 0.20/0.50 tff(555,plain,
% 0.20/0.50 (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[554, 55, 49])).
% 0.20/0.50 tff(556,plain,
% 0.20/0.50 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[555])).
% 0.20/0.50 tff(557,plain,
% 0.20/0.50 (select(store(a_865, i5, e_866), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.20/0.50 inference(symmetry,[status(thm)],[293])).
% 0.20/0.50 tff(558,plain,
% 0.20/0.50 (select(a_869, i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1)),
% 0.20/0.50 inference(symmetry,[status(thm)],[285])).
% 0.20/0.50 tff(559,plain,
% 0.20/0.50 (select(a_872, i5) = e_866),
% 0.20/0.50 inference(transitivity,[status(thm)],[499, 277, 558, 193, 557, 295, 291])).
% 0.20/0.50 tff(560,plain,
% 0.20/0.50 (store(store(a_863, i0, e_864), i1, select(a_872, i5)) = store(a_865, i5, e_866)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[129, 183, 559])).
% 0.20/0.50 tff(561,plain,
% 0.20/0.50 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i1, select(a_872, i5))),
% 0.20/0.50 inference(symmetry,[status(thm)],[560])).
% 0.20/0.50 tff(562,plain,
% 0.20/0.50 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[561])).
% 0.20/0.50 tff(563,plain,
% 0.20/0.50 (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[562])).
% 0.20/0.50 tff(564,plain,
% 0.20/0.50 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(565,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(566,plain,
% 0.20/0.50 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[565, 564])).
% 0.20/0.50 tff(567,plain,
% 0.20/0.50 (select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[566, 55, 471])).
% 0.20/0.50 tff(568,plain,
% 0.20/0.50 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.50 inference(symmetry,[status(thm)],[567])).
% 0.20/0.50 tff(569,plain,
% 0.20/0.50 (select(a_840, i0) = e_864),
% 0.20/0.50 inference(transitivity,[status(thm)],[338, 330, 328, 325, 520, 315, 89])).
% 0.20/0.50 tff(570,plain,
% 0.20/0.50 (store(store(a_861, i5, e_862), i1, select(a_840, i0)) = store(a_863, i0, e_864)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[93, 198, 569])).
% 0.20/0.51 tff(571,plain,
% 0.20/0.51 (store(a_863, i0, e_864) = store(store(a_861, i5, e_862), i1, select(a_840, i0))),
% 0.20/0.51 inference(symmetry,[status(thm)],[570])).
% 0.20/0.51 tff(572,plain,
% 0.20/0.51 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[571])).
% 0.20/0.51 tff(573,plain,
% 0.20/0.51 (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[572])).
% 0.20/0.51 tff(574,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(575,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(576,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[575, 574])).
% 0.20/0.51 tff(577,plain,
% 0.20/0.51 (select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[576, 55, 471])).
% 0.20/0.51 tff(578,plain,
% 0.20/0.51 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[577])).
% 0.20/0.51 tff(579,plain,
% 0.20/0.51 (select(a_840, i0) = e_862),
% 0.20/0.51 inference(transitivity,[status(thm)],[338, 330, 328, 325, 520, 315, 302, 105])).
% 0.20/0.51 tff(580,plain,
% 0.20/0.51 (store(store(a_860, i2, e_837), i1, select(a_840, i0)) = store(a_861, i5, e_862)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[109, 183, 579])).
% 0.20/0.51 tff(581,plain,
% 0.20/0.51 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i1, select(a_840, i0))),
% 0.20/0.51 inference(symmetry,[status(thm)],[580])).
% 0.20/0.51 tff(582,plain,
% 0.20/0.51 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[581])).
% 0.20/0.51 tff(583,plain,
% 0.20/0.51 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[582])).
% 0.20/0.51 tff(584,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(585,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(586,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.20/0.51 tff(587,plain,
% 0.20/0.51 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[586, 55, 471])).
% 0.20/0.51 tff(588,plain,
% 0.20/0.51 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[587])).
% 0.20/0.51 tff(589,plain,
% 0.20/0.51 (select(store(a_860, i2, e_837), i2) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[344])).
% 0.20/0.51 tff(590,plain,
% 0.20/0.51 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[580])).
% 0.20/0.51 tff(591,plain,
% 0.20/0.51 (select(store(a_861, i5, e_862), i2) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[590])).
% 0.20/0.51 tff(592,plain,
% 0.20/0.51 (select(a_865, i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.20/0.51 inference(symmetry,[status(thm)],[297])).
% 0.20/0.51 tff(593,plain,
% 0.20/0.51 (select(a_872, i5) = e_837),
% 0.20/0.51 inference(transitivity,[status(thm)],[499, 277, 558, 193, 557, 295, 592, 223, 591, 227, 589, 346, 306])).
% 0.20/0.51 tff(594,plain,
% 0.20/0.51 (store(store(a_836, i1, e_839), i2, select(a_872, i5)) = store(a_860, i2, e_837)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[310, 593])).
% 0.20/0.51 tff(595,plain,
% 0.20/0.51 (store(a_860, i2, e_837) = store(store(a_836, i1, e_839), i2, select(a_872, i5))),
% 0.20/0.51 inference(symmetry,[status(thm)],[594])).
% 0.20/0.51 tff(596,plain,
% 0.20/0.51 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[595])).
% 0.20/0.51 tff(597,plain,
% 0.20/0.51 (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[596])).
% 0.20/0.51 tff(598,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(599,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(600,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[599, 598])).
% 0.20/0.51 tff(601,plain,
% 0.20/0.51 (select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[600, 55, 49])).
% 0.20/0.51 tff(602,plain,
% 0.20/0.51 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[601])).
% 0.20/0.51 tff(603,plain,
% 0.20/0.51 (store(store(a_834, i3, e_835), i1, select(a_840, i0)) = store(a_836, i1, e_839)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[321, 354])).
% 0.20/0.51 tff(604,plain,
% 0.20/0.51 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i1, select(a_840, i0))),
% 0.20/0.51 inference(symmetry,[status(thm)],[603])).
% 0.20/0.51 tff(605,plain,
% 0.20/0.51 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[604])).
% 0.20/0.51 tff(606,plain,
% 0.20/0.51 (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[605])).
% 0.20/0.51 tff(607,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(608,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(609,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[608, 607])).
% 0.20/0.51 tff(610,plain,
% 0.20/0.51 (select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[609, 55, 471])).
% 0.20/0.51 tff(611,plain,
% 0.20/0.51 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[610])).
% 0.20/0.51 tff(612,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(613,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(614,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.20/0.51 tff(615,plain,
% 0.20/0.51 (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[614, 55, 49])).
% 0.20/0.51 tff(616,plain,
% 0.20/0.51 (store(store(a_834, i3, e_835), i2, select(a_872, i5)) = store(a_836, i2, e_837)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[321, 593])).
% 0.20/0.51 tff(617,plain,
% 0.20/0.51 (select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[616])).
% 0.20/0.51 tff(618,plain,
% 0.20/0.51 (select(store(a_836, i2, e_837), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[617])).
% 0.20/0.51 tff(619,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(620,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(621,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[620, 619])).
% 0.20/0.51 tff(622,plain,
% 0.20/0.51 (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[621, 55, 471])).
% 0.20/0.51 tff(623,plain,
% 0.20/0.51 (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[355])).
% 0.20/0.51 tff(624,plain,
% 0.20/0.51 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[623])).
% 0.20/0.51 tff(625,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(626,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(627,plain,
% 0.20/0.51 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[626, 625])).
% 0.20/0.51 tff(628,plain,
% 0.20/0.51 (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[627, 55, 471])).
% 0.20/0.51 tff(629,plain,
% 0.20/0.51 (select(a_840, i0) = e_841),
% 0.20/0.51 inference(transitivity,[status(thm)],[338, 366, 362])).
% 0.20/0.51 tff(630,plain,
% 0.20/0.51 (store(store(a_838, i1, e_839), i1, select(a_840, i0)) = store(a_840, i0, e_841)),
% 0.20/0.51 inference(monotonicity,[status(thm)],[147, 198, 629])).
% 0.20/0.51 tff(631,plain,
% 0.20/0.51 (select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[630])).
% 0.20/0.51 tff(632,plain,
% 0.20/0.51 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.51 inference(symmetry,[status(thm)],[631])).
% 0.20/0.51 tff(633,plain,
% 0.20/0.51 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(634,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(635,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[634, 633])).
% 0.20/0.52 tff(636,plain,
% 0.20/0.52 (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[635, 55, 471])).
% 0.20/0.52 tff(637,plain,
% 0.20/0.52 (store(store(a_840, i0, e_841), i1, select(a_840, i0)) = store(a_842, i5, e_843)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[380, 183, 376])).
% 0.20/0.52 tff(638,plain,
% 0.20/0.52 (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[637])).
% 0.20/0.52 tff(639,plain,
% 0.20/0.52 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.52 inference(symmetry,[status(thm)],[638])).
% 0.20/0.52 tff(640,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(641,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(642,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[641, 640])).
% 0.20/0.52 tff(643,plain,
% 0.20/0.52 (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[642, 55, 49])).
% 0.20/0.52 tff(644,plain,
% 0.20/0.52 ((e_845 = select(a_844, i5)) <=> (e_845 = select(a_844, i5))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(645,axiom,(e_845 = select(a_844, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp32')).
% 0.20/0.52 tff(646,plain,
% 0.20/0.52 (e_845 = select(a_844, i5)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[645, 644])).
% 0.20/0.52 tff(647,plain,
% 0.20/0.52 (select(a_844, i5) = e_845),
% 0.20/0.52 inference(symmetry,[status(thm)],[646])).
% 0.20/0.52 tff(648,plain,
% 0.20/0.52 (select(a_844, i5) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.52 tff(649,plain,
% 0.20/0.52 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5) = select(a_844, i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[648])).
% 0.20/0.52 tff(650,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5) = select(a_840, i0))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(651,plain,
% 0.20/0.52 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5) = select(a_840, i0)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[650, 23])).
% 0.20/0.52 tff(652,plain,
% 0.20/0.52 (select(a_840, i0) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[651])).
% 0.20/0.52 tff(653,plain,
% 0.20/0.52 (select(a_840, i0) = e_845),
% 0.20/0.52 inference(transitivity,[status(thm)],[652, 649, 647])).
% 0.20/0.52 tff(654,plain,
% 0.20/0.52 (store(a_842, i5, e_843) = a_844),
% 0.20/0.52 inference(symmetry,[status(thm)],[385])).
% 0.20/0.52 tff(655,plain,
% 0.20/0.52 (store(store(a_842, i5, e_843), i2, select(a_840, i0)) = store(a_844, i2, e_845)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[654, 653])).
% 0.20/0.52 tff(656,plain,
% 0.20/0.52 (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[655])).
% 0.20/0.52 tff(657,plain,
% 0.20/0.52 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.52 inference(symmetry,[status(thm)],[656])).
% 0.20/0.52 tff(658,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(659,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(660,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[659, 658])).
% 0.20/0.52 tff(661,plain,
% 0.20/0.52 (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[660, 55, 471])).
% 0.20/0.52 tff(662,plain,
% 0.20/0.52 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(a_844, i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[387])).
% 0.20/0.52 tff(663,plain,
% 0.20/0.52 (select(store(a_840, i0, e_841), i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[243])).
% 0.20/0.52 tff(664,plain,
% 0.20/0.52 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[371])).
% 0.20/0.52 tff(665,plain,
% 0.20/0.52 (select(store(a_838, i1, e_839), i2) = select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[248])).
% 0.20/0.52 tff(666,plain,
% 0.20/0.52 (select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[357])).
% 0.20/0.52 tff(667,plain,
% 0.20/0.52 (select(store(a_836, i2, e_837), i2) = select(store(store(a_836, i2, e_837), i1, select(a_840, i0)), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[231])).
% 0.20/0.52 tff(668,plain,
% 0.20/0.52 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[352])).
% 0.20/0.52 tff(669,plain,
% 0.20/0.52 (select(a_836, i1) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[349])).
% 0.20/0.52 tff(670,plain,
% 0.20/0.52 (select(a_872, i5) = e_847),
% 0.20/0.52 inference(transitivity,[status(thm)],[499, 277, 558, 193, 557, 295, 592, 223, 591, 227, 589, 346, 669, 668, 667, 666, 665, 664, 663, 662, 393])).
% 0.20/0.52 tff(671,plain,
% 0.20/0.52 (store(store(a_844, i2, e_845), i1, select(a_872, i5)) = store(a_846, i5, e_847)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[397, 183, 670])).
% 0.20/0.52 tff(672,plain,
% 0.20/0.52 (select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[671])).
% 0.20/0.52 tff(673,plain,
% 0.20/0.52 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.52 inference(symmetry,[status(thm)],[672])).
% 0.20/0.52 tff(674,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(675,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(676,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[675, 674])).
% 0.20/0.52 tff(677,plain,
% 0.20/0.52 (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[676, 55, 471])).
% 0.20/0.52 tff(678,plain,
% 0.20/0.52 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(a_848, i1)),
% 0.20/0.52 inference(symmetry,[status(thm)],[404])).
% 0.20/0.52 tff(679,plain,
% 0.20/0.52 (select(a_844, i2) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.20/0.52 inference(symmetry,[status(thm)],[389])).
% 0.20/0.52 tff(680,plain,
% 0.20/0.52 (select(a_872, i5) = e_849),
% 0.20/0.52 inference(transitivity,[status(thm)],[499, 277, 558, 193, 557, 295, 592, 223, 591, 227, 589, 346, 669, 668, 667, 666, 665, 664, 663, 662, 679, 678, 410])).
% 0.20/0.52 tff(681,plain,
% 0.20/0.52 (store(a_846, i5, e_847) = a_848),
% 0.20/0.52 inference(symmetry,[status(thm)],[402])).
% 0.20/0.52 tff(682,plain,
% 0.20/0.52 (store(store(a_846, i5, e_847), i1, select(a_872, i5)) = store(a_848, i1, e_849)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[681, 680])).
% 0.20/0.52 tff(683,plain,
% 0.20/0.52 (select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[682])).
% 0.20/0.52 tff(684,plain,
% 0.20/0.52 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.52 inference(symmetry,[status(thm)],[683])).
% 0.20/0.52 tff(685,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(686,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(687,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[686, 685])).
% 0.20/0.52 tff(688,plain,
% 0.20/0.52 (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[687, 55, 471])).
% 0.20/0.52 tff(689,plain,
% 0.20/0.52 (store(store(a_848, i1, e_849), i1, select(a_872, i5)) = store(a_850, i1, e_849)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[414, 680])).
% 0.20/0.52 tff(690,plain,
% 0.20/0.52 (select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[689])).
% 0.20/0.52 tff(691,plain,
% 0.20/0.52 (select(store(a_850, i1, e_849), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.52 inference(symmetry,[status(thm)],[690])).
% 0.20/0.52 tff(692,plain,
% 0.20/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(693,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(694,plain,
% 0.20/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[693, 692])).
% 0.20/0.52 tff(695,plain,
% 0.20/0.52 (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[694, 55, 471])).
% 0.20/0.52 tff(696,plain,
% 0.20/0.52 ((e_852 = select(a_851, i2)) <=> (e_852 = select(a_851, i2))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(697,axiom,(e_852 = select(a_851, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp35')).
% 0.20/0.52 tff(698,plain,
% 0.20/0.52 (e_852 = select(a_851, i2)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[697, 696])).
% 0.20/0.52 tff(699,plain,
% 0.20/0.52 (select(a_851, i2) = e_852),
% 0.20/0.52 inference(symmetry,[status(thm)],[698])).
% 0.20/0.52 tff(700,plain,
% 0.20/0.52 (select(a_851, i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[420])).
% 0.20/0.52 tff(701,plain,
% 0.20/0.52 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(a_851, i2)),
% 0.20/0.52 inference(symmetry,[status(thm)],[700])).
% 0.20/0.52 tff(702,plain,
% 0.20/0.52 (((~![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_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), 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_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(703,plain,
% 0.20/0.52 ((~![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_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(704,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[703, 702])).
% 0.20/0.53 tff(705,plain,
% 0.20/0.53 ((i1 = i2) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[704, 55])).
% 0.20/0.53 tff(706,plain,
% 0.20/0.53 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[705, 169])).
% 0.20/0.53 tff(707,plain,
% 0.20/0.53 (select(store(a_848, i1, e_849), i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[706])).
% 0.20/0.53 tff(708,plain,
% 0.20/0.53 (select(a_851, i5) = e_849),
% 0.20/0.53 inference(transitivity,[status(thm)],[421, 406, 410])).
% 0.20/0.53 tff(709,plain,
% 0.20/0.53 (store(store(a_846, i5, e_847), i1, select(a_851, i5)) = store(a_848, i1, e_849)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[681, 708])).
% 0.20/0.53 tff(710,plain,
% 0.20/0.53 (store(a_848, i1, e_849) = store(store(a_846, i5, e_847), i1, select(a_851, i5))),
% 0.20/0.53 inference(symmetry,[status(thm)],[709])).
% 0.20/0.53 tff(711,plain,
% 0.20/0.53 (select(store(a_848, i1, e_849), i2) = select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[710])).
% 0.20/0.53 tff(712,plain,
% 0.20/0.53 (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_848, i1, e_849), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[711])).
% 0.20/0.53 tff(713,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), 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_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(714,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(715,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.20/0.53 tff(716,plain,
% 0.20/0.53 (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[715, 55, 169])).
% 0.20/0.53 tff(717,plain,
% 0.20/0.53 (select(store(a_846, i5, e_847), i2) = select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[716])).
% 0.20/0.53 tff(718,plain,
% 0.20/0.53 (select(a_851, i5) = e_847),
% 0.20/0.53 inference(transitivity,[status(thm)],[421, 406, 404, 389, 393])).
% 0.20/0.53 tff(719,plain,
% 0.20/0.53 (store(store(a_844, i2, e_845), i1, select(a_851, i5)) = store(a_846, i5, e_847)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[397, 183, 718])).
% 0.20/0.53 tff(720,plain,
% 0.20/0.53 (store(a_846, i5, e_847) = store(store(a_844, i2, e_845), i1, select(a_851, i5))),
% 0.20/0.53 inference(symmetry,[status(thm)],[719])).
% 0.20/0.53 tff(721,plain,
% 0.20/0.53 (select(store(a_846, i5, e_847), i2) = select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[720])).
% 0.20/0.53 tff(722,plain,
% 0.20/0.53 (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[721])).
% 0.20/0.53 tff(723,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), 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_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(724,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i2) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(725,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i2) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[724, 723])).
% 0.20/0.53 tff(726,plain,
% 0.20/0.53 (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[725, 55, 169])).
% 0.20/0.53 tff(727,plain,
% 0.20/0.53 (select(store(a_844, i2, e_845), i2) = select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[726])).
% 0.20/0.53 tff(728,plain,
% 0.20/0.53 (store(store(a_842, i5, e_843), i2, select(a_844, i5)) = store(a_844, i2, e_845)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[654, 647])).
% 0.20/0.53 tff(729,plain,
% 0.20/0.53 (store(a_844, i2, e_845) = store(store(a_842, i5, e_843), i2, select(a_844, i5))),
% 0.20/0.53 inference(symmetry,[status(thm)],[728])).
% 0.20/0.53 tff(730,plain,
% 0.20/0.53 (select(store(a_844, i2, e_845), i2) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[729])).
% 0.20/0.53 tff(731,plain,
% 0.20/0.53 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[730])).
% 0.20/0.53 tff(732,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(a_844, i5))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(733,plain,
% 0.20/0.53 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(a_844, i5)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[732, 23])).
% 0.20/0.53 tff(734,plain,
% 0.20/0.53 (select(a_844, i5) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[733])).
% 0.20/0.53 tff(735,plain,
% 0.20/0.53 (select(a_840, i0) = e_852),
% 0.20/0.53 inference(transitivity,[status(thm)],[652, 649, 734, 731, 727, 722, 717, 712, 707, 701, 699])).
% 0.20/0.53 tff(736,plain,
% 0.20/0.53 (store(a_850, i1, e_849) = a_851),
% 0.20/0.53 inference(symmetry,[status(thm)],[419])).
% 0.20/0.53 tff(737,plain,
% 0.20/0.53 (store(store(a_850, i1, e_849), i1, select(a_840, i0)) = store(a_851, i5, e_852)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[736, 183, 735])).
% 0.20/0.53 tff(738,plain,
% 0.20/0.53 (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[737])).
% 0.20/0.53 tff(739,plain,
% 0.20/0.53 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.20/0.53 inference(symmetry,[status(thm)],[738])).
% 0.20/0.53 tff(740,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(741,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(742,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[741, 740])).
% 0.20/0.53 tff(743,plain,
% 0.20/0.53 (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[742, 55, 49])).
% 0.20/0.53 tff(744,plain,
% 0.20/0.53 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1) = select(a_851, i5)),
% 0.20/0.53 inference(symmetry,[status(thm)],[421])).
% 0.20/0.53 tff(745,plain,
% 0.20/0.53 (select(a_848, i1) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.20/0.53 inference(symmetry,[status(thm)],[406])).
% 0.20/0.53 tff(746,plain,
% 0.20/0.53 (select(a_872, i5) = e_854),
% 0.20/0.53 inference(transitivity,[status(thm)],[499, 277, 558, 193, 557, 295, 592, 223, 591, 227, 589, 346, 669, 668, 667, 666, 665, 664, 663, 662, 679, 678, 745, 744, 427])).
% 0.20/0.53 tff(747,plain,
% 0.20/0.53 (store(store(a_851, i5, e_852), i2, select(a_872, i5)) = store(a_853, i2, e_854)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[431, 746])).
% 0.20/0.53 tff(748,plain,
% 0.20/0.53 (select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[747])).
% 0.20/0.53 tff(749,plain,
% 0.20/0.53 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.53 inference(symmetry,[status(thm)],[748])).
% 0.20/0.53 tff(750,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(751,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(752,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[751, 750])).
% 0.20/0.53 tff(753,plain,
% 0.20/0.53 ((i1 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[752, 55])).
% 0.20/0.53 tff(754,plain,
% 0.20/0.53 (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[753, 471])).
% 0.20/0.53 tff(755,plain,
% 0.20/0.53 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i2) = select(a_855, i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[438])).
% 0.20/0.53 tff(756,plain,
% 0.20/0.53 (select(a_851, i5) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i2)),
% 0.20/0.53 inference(symmetry,[status(thm)],[423])).
% 0.20/0.53 tff(757,plain,
% 0.20/0.53 (select(a_851, i5) = e_856),
% 0.20/0.53 inference(transitivity,[status(thm)],[756, 755, 444])).
% 0.20/0.53 tff(758,plain,
% 0.20/0.53 (store(store(a_853, i2, e_854), i1, select(a_851, i5)) = store(a_855, i5, e_856)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[445, 183, 757])).
% 0.20/0.53 tff(759,plain,
% 0.20/0.53 (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[758])).
% 0.20/0.53 tff(760,plain,
% 0.20/0.53 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.20/0.53 inference(symmetry,[status(thm)],[759])).
% 0.20/0.53 tff(761,plain,
% 0.20/0.53 (sk(a_859, a_880) = i_881),
% 0.20/0.53 inference(symmetry,[status(thm)],[32])).
% 0.20/0.53 tff(762,plain,
% 0.20/0.53 (store(a_857, i2, e_858) = a_859),
% 0.20/0.53 inference(symmetry,[status(thm)],[462])).
% 0.20/0.53 tff(763,plain,
% 0.20/0.53 (store(store(a_855, i5, e_856), i2, select(a_855, i5)) = a_859),
% 0.20/0.53 inference(transitivity,[status(thm)],[458, 762])).
% 0.20/0.53 tff(764,plain,
% 0.20/0.53 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(a_859, i_881)),
% 0.20/0.53 inference(monotonicity,[status(thm)],[763, 761])).
% 0.20/0.53 tff(765,plain,
% 0.20/0.53 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880))),
% 0.20/0.53 inference(symmetry,[status(thm)],[764])).
% 0.20/0.53 tff(766,plain,
% 0.20/0.53 (e_882 = e_883),
% 0.20/0.53 inference(transitivity,[status(thm)],[180, 765, 236, 760, 754, 749, 743, 739, 695, 691, 688, 684, 677, 673, 661, 657, 643, 639, 636, 632, 628, 624, 622, 618, 615, 611, 606, 602, 597, 588, 583, 578, 573, 568, 563, 556, 551, 546, 541, 539, 534, 530, 525, 484, 479, 477, 197, 61, 48, 29])).
% 0.20/0.53 tff(767,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[468, 766])).
% 0.20/0.53 tff(768,plain,((~(i1 = i0)) | (~(i5 = i1)) | (i2 = sk(a_859, a_880)) | (i1 = i2)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(769,plain,
% 0.20/0.53 (~(i1 = i0)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[768, 49, 182, 169])).
% 0.20/0.53 tff(770,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i0) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i0) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(771,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i0) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(772,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i0) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[771, 770])).
% 0.20/0.53 tff(773,plain,
% 0.20/0.53 ((i1 = i0) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[772, 55])).
% 0.20/0.53 tff(774,plain,
% 0.20/0.53 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[773, 769])).
% 0.20/0.53 tff(775,plain,
% 0.20/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i0) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i0) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(776,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i0) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(777,plain,
% 0.20/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i0) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[776, 775])).
% 0.20/0.54 tff(778,plain,
% 0.20/0.54 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[777, 55, 769])).
% 0.20/0.54 tff(779,plain,
% 0.20/0.54 ((i0 = i1) <=> (i1 = i0)),
% 0.20/0.54 inference(commutativity,[status(thm)],[])).
% 0.20/0.54 tff(780,plain,
% 0.20/0.54 ((i0 = i5) <=> (i0 = i1)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[182])).
% 0.20/0.54 tff(781,plain,
% 0.20/0.54 ((i0 = i5) <=> (i1 = i0)),
% 0.20/0.54 inference(transitivity,[status(thm)],[780, 779])).
% 0.20/0.54 tff(782,plain,
% 0.20/0.54 ((i1 = i0) <=> (i0 = i5)),
% 0.20/0.54 inference(symmetry,[status(thm)],[781])).
% 0.20/0.54 tff(783,plain,
% 0.20/0.54 ((~(i1 = i0)) <=> (~(i0 = i5))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[782])).
% 0.20/0.54 tff(784,plain,
% 0.20/0.54 (~(i0 = i5)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[769, 783])).
% 0.20/0.54 tff(785,plain,
% 0.20/0.54 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[121, 784])).
% 0.20/0.54 tff(786,plain,
% 0.20/0.54 (((~![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_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), 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_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(787,plain,
% 0.20/0.54 ((~![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_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(788,plain,
% 0.20/0.54 ((~![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_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[787, 786])).
% 0.20/0.54 tff(789,plain,
% 0.20/0.54 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[788, 55, 169])).
% 0.20/0.54 tff(790,plain,
% 0.20/0.54 (((~![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_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), 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_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(791,plain,
% 0.20/0.54 ((~![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_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(792,plain,
% 0.20/0.54 ((~![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_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[791, 790])).
% 0.20/0.54 tff(793,plain,
% 0.20/0.54 (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[792, 55, 169])).
% 0.20/0.54 tff(794,plain,
% 0.20/0.54 (select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[475, 170])).
% 0.20/0.54 tff(795,plain,
% 0.20/0.54 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.20/0.54 inference(symmetry,[status(thm)],[794])).
% 0.20/0.54 tff(796,plain,
% 0.20/0.54 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[490, 182])).
% 0.20/0.54 tff(797,plain,
% 0.20/0.54 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_872, i5)),
% 0.20/0.54 inference(symmetry,[status(thm)],[796])).
% 0.20/0.54 tff(798,plain,
% 0.20/0.54 (a_869 = store(store(a_865, i5, e_866), i2, select(a_865, i5))),
% 0.20/0.54 inference(transitivity,[status(thm)],[281, 510])).
% 0.20/0.54 tff(799,plain,
% 0.20/0.54 (select(a_869, i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[798])).
% 0.20/0.54 tff(800,plain,
% 0.20/0.54 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(a_869, i1)),
% 0.20/0.54 inference(symmetry,[status(thm)],[799])).
% 0.20/0.54 tff(801,plain,
% 0.20/0.54 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i5, select(a_865, i2))),
% 0.20/0.54 inference(symmetry,[status(thm)],[292])).
% 0.20/0.54 tff(802,plain,
% 0.20/0.54 (select(store(a_865, i5, e_866), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[801, 183])).
% 0.20/0.54 tff(803,plain,
% 0.20/0.54 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), i1)),
% 0.20/0.54 inference(symmetry,[status(thm)],[802])).
% 0.20/0.54 tff(804,plain,
% 0.20/0.54 (select(a_865, i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[99])).
% 0.20/0.54 tff(805,plain,
% 0.20/0.54 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(a_865, i2)),
% 0.20/0.54 inference(symmetry,[status(thm)],[804])).
% 0.20/0.54 tff(806,assumption,(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)), introduced(assumption)).
% 0.20/0.54 tff(807,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2)), introduced(assumption)).
% 0.20/0.54 tff(808,assumption,(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)), introduced(assumption)).
% 0.20/0.54 tff(809,assumption,(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2)), introduced(assumption)).
% 0.20/0.54 tff(810,assumption,(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)), introduced(assumption)).
% 0.20/0.54 tff(811,assumption,(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)), introduced(assumption)).
% 0.20/0.54 tff(812,assumption,(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)), introduced(assumption)).
% 0.20/0.54 tff(813,assumption,(i0 = i2), introduced(assumption)).
% 0.20/0.54 tff(814,plain,
% 0.20/0.54 (i2 = i0),
% 0.20/0.54 inference(symmetry,[status(thm)],[813])).
% 0.20/0.54 tff(815,plain,
% 0.20/0.54 (select(a_865, i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[99, 814])).
% 0.20/0.54 tff(816,plain,
% 0.20/0.54 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(a_865, i2)),
% 0.20/0.54 inference(symmetry,[status(thm)],[815])).
% 0.20/0.54 tff(817,plain,
% 0.20/0.54 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_840, i5)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[336, 183])).
% 0.20/0.54 tff(818,plain,
% 0.20/0.54 (select(a_840, i5) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.20/0.54 inference(symmetry,[status(thm)],[817])).
% 0.20/0.54 tff(819,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(a_840, i5))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(820,plain,
% 0.20/0.54 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(a_840, i5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[819, 23])).
% 0.20/0.54 tff(821,plain,
% 0.20/0.54 (store(store(a_838, i1, e_839), i0, select(a_840, i5)) = store(a_840, i0, e_841)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[147, 362])).
% 0.20/0.54 tff(822,plain,
% 0.20/0.54 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), i2)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[821, 813])).
% 0.20/0.54 tff(823,plain,
% 0.20/0.54 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.20/0.54 inference(symmetry,[status(thm)],[822])).
% 0.20/0.54 tff(824,plain,
% 0.20/0.54 (store(store(a_840, i0, e_841), i5, select(a_840, i0)) = a_844),
% 0.20/0.54 inference(transitivity,[status(thm)],[381, 654])).
% 0.20/0.54 tff(825,plain,
% 0.20/0.54 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(a_844, i2)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[824])).
% 0.20/0.54 tff(826,plain,
% 0.20/0.54 (select(a_844, i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2)),
% 0.20/0.54 inference(symmetry,[status(thm)],[825])).
% 0.20/0.54 tff(827,plain,
% 0.20/0.54 (store(store(a_844, i2, e_845), i5, select(a_844, i2)) = a_848),
% 0.20/0.54 inference(transitivity,[status(thm)],[398, 681])).
% 0.20/0.54 tff(828,plain,
% 0.20/0.54 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(a_848, i1)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[827, 182])).
% 0.20/0.54 tff(829,plain,
% 0.20/0.54 (select(a_848, i1) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.20/0.54 inference(symmetry,[status(thm)],[828])).
% 0.20/0.54 tff(830,plain,
% 0.20/0.54 (store(store(a_848, i1, e_849), i1, select(a_848, i1)) = a_851),
% 0.20/0.54 inference(transitivity,[status(thm)],[415, 736])).
% 0.20/0.54 tff(831,plain,
% 0.20/0.54 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1) = select(a_851, i5)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[830, 183])).
% 0.20/0.54 tff(832,plain,
% 0.20/0.54 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.20/0.54 inference(symmetry,[status(thm)],[831])).
% 0.20/0.54 tff(833,plain,
% 0.20/0.54 (select(a_851, i5) = e_875),
% 0.20/0.54 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 328, 325, 317, 315, 519, 816, 296, 803, 287, 800, 278, 797, 9])).
% 0.20/0.54 tff(834,plain,
% 0.20/0.54 (store(store(a_872, i5, e_873), i2, select(a_851, i5)) = store(a_874, i2, e_875)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[13, 833])).
% 0.20/0.54 tff(835,plain,
% 0.20/0.54 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i2, select(a_851, i5))),
% 0.20/0.54 inference(symmetry,[status(thm)],[834])).
% 0.20/0.54 tff(836,plain,
% 0.20/0.54 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[835])).
% 0.20/0.54 tff(837,plain,
% 0.20/0.54 (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.20/0.54 inference(symmetry,[status(thm)],[836])).
% 0.20/0.54 tff(838,plain,
% 0.20/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(839,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(840,plain,
% 0.20/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[839, 838])).
% 0.20/0.54 tff(841,plain,
% 0.20/0.54 (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[840, 55, 49])).
% 0.20/0.54 tff(842,plain,
% 0.20/0.54 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.20/0.54 inference(symmetry,[status(thm)],[841])).
% 0.20/0.54 tff(843,plain,
% 0.20/0.54 (store(store(a_871, i1, e_870), i1, select(a_872, i2)) = store(a_872, i5, e_873)),
% 0.20/0.54 inference(monotonicity,[status(thm)],[264, 183, 488])).
% 0.20/0.54 tff(844,plain,
% 0.38/0.54 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i1, select(a_872, i2))),
% 0.38/0.54 inference(symmetry,[status(thm)],[843])).
% 0.38/0.54 tff(845,plain,
% 0.38/0.54 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.54 inference(monotonicity,[status(thm)],[844])).
% 0.38/0.54 tff(846,plain,
% 0.38/0.54 (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.38/0.54 inference(symmetry,[status(thm)],[845])).
% 0.38/0.54 tff(847,plain,
% 0.38/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(848,plain,
% 0.38/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(849,plain,
% 0.38/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[848, 847])).
% 0.38/0.54 tff(850,plain,
% 0.38/0.54 (select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[849, 55, 170])).
% 0.38/0.54 tff(851,plain,
% 0.38/0.54 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.54 inference(symmetry,[status(thm)],[850])).
% 0.38/0.54 tff(852,plain,
% 0.38/0.54 (select(a_851, i5) = e_870),
% 0.38/0.54 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 328, 325, 317, 315, 519, 816, 296, 803, 287, 800, 268])).
% 0.38/0.54 tff(853,plain,
% 0.38/0.54 (store(store(a_869, i1, e_870), i1, select(a_851, i5)) = store(a_871, i1, e_870)),
% 0.38/0.54 inference(monotonicity,[status(thm)],[272, 852])).
% 0.38/0.54 tff(854,plain,
% 0.38/0.54 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_851, i5))),
% 0.38/0.54 inference(symmetry,[status(thm)],[853])).
% 0.38/0.54 tff(855,plain,
% 0.38/0.54 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.54 inference(monotonicity,[status(thm)],[854])).
% 0.38/0.54 tff(856,plain,
% 0.38/0.54 (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.38/0.54 inference(symmetry,[status(thm)],[855])).
% 0.38/0.54 tff(857,plain,
% 0.38/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(858,plain,
% 0.38/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(859,plain,
% 0.38/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[858, 857])).
% 0.38/0.55 tff(860,plain,
% 0.38/0.55 (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[859, 55, 170])).
% 0.38/0.55 tff(861,plain,
% 0.38/0.55 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[860])).
% 0.38/0.55 tff(862,plain,
% 0.38/0.55 (store(store(a_867, i2, e_868), i1, select(a_851, i5)) = store(a_869, i1, e_870)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[282, 852])).
% 0.38/0.55 tff(863,plain,
% 0.38/0.55 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_851, i5))),
% 0.38/0.55 inference(symmetry,[status(thm)],[862])).
% 0.38/0.55 tff(864,plain,
% 0.38/0.55 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[863])).
% 0.38/0.55 tff(865,plain,
% 0.38/0.55 (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[864])).
% 0.38/0.55 tff(866,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(867,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(868,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[867, 866])).
% 0.38/0.55 tff(869,plain,
% 0.38/0.55 (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[868, 55, 170])).
% 0.38/0.55 tff(870,plain,
% 0.38/0.55 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[869])).
% 0.38/0.55 tff(871,plain,
% 0.38/0.55 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[283])).
% 0.38/0.55 tff(872,plain,
% 0.38/0.55 (select(store(a_867, i2, e_868), i2) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.38/0.55 inference(symmetry,[status(thm)],[871])).
% 0.38/0.55 tff(873,plain,
% 0.38/0.55 (select(a_872, i5) = e_870),
% 0.38/0.55 inference(transitivity,[status(thm)],[796, 277, 268])).
% 0.38/0.55 tff(874,plain,
% 0.38/0.55 (store(store(a_867, i2, e_868), i1, select(a_872, i5)) = store(a_869, i1, e_870)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[282, 873])).
% 0.38/0.55 tff(875,plain,
% 0.38/0.55 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[874])).
% 0.38/0.55 tff(876,plain,
% 0.38/0.55 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2)),
% 0.38/0.55 inference(symmetry,[status(thm)],[875])).
% 0.38/0.55 tff(877,plain,
% 0.38/0.55 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(a_872, i2)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[274])).
% 0.38/0.55 tff(878,plain,
% 0.38/0.55 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2)),
% 0.38/0.55 inference(symmetry,[status(thm)],[877])).
% 0.38/0.55 tff(879,plain,
% 0.38/0.55 (select(a_872, i2) = e_868),
% 0.38/0.55 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 85])).
% 0.38/0.55 tff(880,plain,
% 0.38/0.55 (store(store(a_865, i5, e_866), i2, select(a_872, i2)) = store(a_867, i2, e_868)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[140, 879])).
% 0.38/0.55 tff(881,plain,
% 0.38/0.55 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_872, i2))),
% 0.38/0.55 inference(symmetry,[status(thm)],[880])).
% 0.38/0.55 tff(882,plain,
% 0.38/0.55 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[881])).
% 0.38/0.55 tff(883,plain,
% 0.38/0.55 (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[882])).
% 0.38/0.55 tff(884,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(885,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(886,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[885, 884])).
% 0.38/0.55 tff(887,plain,
% 0.38/0.55 (select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[886, 55, 49])).
% 0.38/0.55 tff(888,plain,
% 0.38/0.55 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[887])).
% 0.38/0.55 tff(889,plain,
% 0.38/0.55 (select(a_851, i5) = e_866),
% 0.38/0.55 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 328, 325, 317, 315, 519, 816, 291])).
% 0.38/0.55 tff(890,plain,
% 0.38/0.55 (store(store(a_863, i0, e_864), i1, select(a_851, i5)) = store(a_865, i5, e_866)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[129, 183, 889])).
% 0.38/0.55 tff(891,plain,
% 0.38/0.55 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i1, select(a_851, i5))),
% 0.38/0.55 inference(symmetry,[status(thm)],[890])).
% 0.38/0.55 tff(892,plain,
% 0.38/0.55 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[891])).
% 0.38/0.55 tff(893,plain,
% 0.38/0.55 (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[892])).
% 0.38/0.55 tff(894,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(895,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(896,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[895, 894])).
% 0.38/0.55 tff(897,plain,
% 0.38/0.55 (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[896, 55, 170])).
% 0.38/0.55 tff(898,plain,
% 0.38/0.55 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[897])).
% 0.38/0.55 tff(899,plain,
% 0.38/0.55 (select(a_851, i5) = e_864),
% 0.38/0.55 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 328, 325, 317, 315, 89])).
% 0.38/0.55 tff(900,plain,
% 0.38/0.55 (store(store(a_861, i5, e_862), i2, select(a_851, i5)) = store(a_863, i0, e_864)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[93, 814, 899])).
% 0.38/0.55 tff(901,plain,
% 0.38/0.55 (store(a_863, i0, e_864) = store(store(a_861, i5, e_862), i2, select(a_851, i5))),
% 0.38/0.55 inference(symmetry,[status(thm)],[900])).
% 0.38/0.55 tff(902,plain,
% 0.38/0.55 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[901])).
% 0.38/0.55 tff(903,plain,
% 0.38/0.55 (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[902])).
% 0.38/0.55 tff(904,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(905,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(906,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[905, 904])).
% 0.38/0.55 tff(907,plain,
% 0.38/0.55 (select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[906, 55, 49])).
% 0.38/0.55 tff(908,plain,
% 0.38/0.55 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[907])).
% 0.38/0.55 tff(909,plain,
% 0.38/0.55 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5) = select(store(a_861, i5, e_862), i5)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[110])).
% 0.38/0.55 tff(910,plain,
% 0.38/0.55 (select(store(a_861, i5, e_862), i5) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i5)),
% 0.38/0.55 inference(symmetry,[status(thm)],[909])).
% 0.38/0.55 tff(911,plain,
% 0.38/0.55 (select(a_865, i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5)),
% 0.38/0.55 inference(symmetry,[status(thm)],[131])).
% 0.38/0.55 tff(912,plain,
% 0.38/0.55 (select(a_872, i2) = e_862),
% 0.38/0.55 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 911, 808, 910, 115, 105])).
% 0.38/0.55 tff(913,plain,
% 0.38/0.55 (store(store(a_860, i2, e_837), i1, select(a_872, i2)) = store(a_861, i5, e_862)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[109, 183, 912])).
% 0.38/0.55 tff(914,plain,
% 0.38/0.55 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i1, select(a_872, i2))),
% 0.38/0.55 inference(symmetry,[status(thm)],[913])).
% 0.38/0.55 tff(915,plain,
% 0.38/0.55 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[914])).
% 0.38/0.55 tff(916,plain,
% 0.38/0.55 (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[915])).
% 0.38/0.55 tff(917,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(918,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(919,plain,
% 0.38/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880)))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[918, 917])).
% 0.38/0.55 tff(920,plain,
% 0.38/0.55 (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[919, 55, 170])).
% 0.38/0.55 tff(921,plain,
% 0.38/0.55 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[920])).
% 0.38/0.55 tff(922,plain,
% 0.38/0.55 (store(store(a_836, i1, e_839), i2, select(a_836, i1)) = a_861),
% 0.38/0.55 inference(transitivity,[status(thm)],[311, 109])).
% 0.38/0.55 tff(923,plain,
% 0.38/0.55 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_861, i0)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[922, 814])).
% 0.38/0.55 tff(924,plain,
% 0.38/0.55 (select(a_861, i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.38/0.55 inference(symmetry,[status(thm)],[923])).
% 0.38/0.55 tff(925,plain,
% 0.38/0.55 (select(a_872, i2) = e_837),
% 0.38/0.55 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 911, 808, 910, 115, 924, 346, 306])).
% 0.38/0.55 tff(926,plain,
% 0.38/0.55 (store(store(a_836, i1, e_839), i2, select(a_872, i2)) = store(a_860, i2, e_837)),
% 0.38/0.55 inference(monotonicity,[status(thm)],[310, 925])).
% 0.38/0.55 tff(927,plain,
% 0.38/0.55 (store(a_860, i2, e_837) = store(store(a_836, i1, e_839), i2, select(a_872, i2))),
% 0.38/0.55 inference(symmetry,[status(thm)],[926])).
% 0.38/0.55 tff(928,plain,
% 0.38/0.55 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.55 inference(monotonicity,[status(thm)],[927])).
% 0.38/0.55 tff(929,plain,
% 0.38/0.55 (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.38/0.55 inference(symmetry,[status(thm)],[928])).
% 0.38/0.55 tff(930,plain,
% 0.38/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.38/0.56 inference(rewrite,[status(thm)],[])).
% 0.38/0.56 tff(931,plain,
% 0.38/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.38/0.56 inference(quant_inst,[status(thm)],[])).
% 0.38/0.56 tff(932,plain,
% 0.38/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880)))),
% 0.38/0.56 inference(modus_ponens,[status(thm)],[931, 930])).
% 0.38/0.56 tff(933,plain,
% 0.38/0.56 (select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.38/0.56 inference(unit_resolution,[status(thm)],[932, 55, 49])).
% 0.38/0.56 tff(934,plain,
% 0.38/0.56 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.38/0.56 inference(symmetry,[status(thm)],[933])).
% 0.38/0.56 tff(935,plain,
% 0.38/0.56 (select(a_851, i5) = e_839),
% 0.38/0.56 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 151])).
% 0.38/0.56 tff(936,plain,
% 0.38/0.56 (store(store(a_834, i3, e_835), i1, select(a_851, i5)) = store(a_836, i1, e_839)),
% 0.38/0.56 inference(monotonicity,[status(thm)],[321, 935])).
% 0.38/0.56 tff(937,plain,
% 0.38/0.56 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i1, select(a_851, i5))),
% 0.38/0.56 inference(symmetry,[status(thm)],[936])).
% 0.38/0.56 tff(938,plain,
% 0.38/0.56 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.56 inference(monotonicity,[status(thm)],[937])).
% 0.38/0.56 tff(939,plain,
% 0.38/0.56 (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.38/0.56 inference(symmetry,[status(thm)],[938])).
% 0.38/0.56 tff(940,plain,
% 0.38/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.38/0.56 inference(rewrite,[status(thm)],[])).
% 0.38/0.56 tff(941,plain,
% 0.38/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.38/0.56 inference(quant_inst,[status(thm)],[])).
% 0.38/0.56 tff(942,plain,
% 0.38/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.38/0.56 inference(modus_ponens,[status(thm)],[941, 940])).
% 0.38/0.56 tff(943,plain,
% 0.38/0.56 (select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.38/0.56 inference(unit_resolution,[status(thm)],[942, 55, 170])).
% 0.38/0.56 tff(944,plain,
% 0.38/0.56 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.38/0.56 inference(symmetry,[status(thm)],[943])).
% 0.38/0.56 tff(945,plain,
% 0.38/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(946,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(947,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[946, 945])).
% 0.40/0.56 tff(948,plain,
% 0.40/0.56 (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[947, 55, 49])).
% 0.40/0.56 tff(949,plain,
% 0.40/0.56 (store(store(a_834, i3, e_835), i2, select(a_872, i2)) = store(a_836, i2, e_837)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[321, 925])).
% 0.40/0.56 tff(950,plain,
% 0.40/0.56 (select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[949])).
% 0.40/0.56 tff(951,plain,
% 0.40/0.56 (select(store(a_836, i2, e_837), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.56 inference(symmetry,[status(thm)],[950])).
% 0.40/0.56 tff(952,plain,
% 0.40/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(953,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(954,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.40/0.56 tff(955,plain,
% 0.40/0.56 (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[954, 55, 170])).
% 0.40/0.56 tff(956,plain,
% 0.40/0.56 (store(store(a_836, i2, e_837), i1, select(a_851, i5)) = store(a_838, i1, e_839)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[334, 935])).
% 0.40/0.56 tff(957,plain,
% 0.40/0.56 (select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[956])).
% 0.40/0.56 tff(958,plain,
% 0.40/0.56 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.56 inference(symmetry,[status(thm)],[957])).
% 0.40/0.56 tff(959,plain,
% 0.40/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(960,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(961,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[960, 959])).
% 0.40/0.56 tff(962,plain,
% 0.40/0.56 (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[961, 55, 49])).
% 0.40/0.56 tff(963,plain,
% 0.40/0.56 (select(a_851, i5) = e_841),
% 0.40/0.56 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 823, 820, 362])).
% 0.40/0.56 tff(964,plain,
% 0.40/0.56 (store(store(a_838, i1, e_839), i2, select(a_851, i5)) = store(a_840, i0, e_841)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[147, 814, 963])).
% 0.40/0.56 tff(965,plain,
% 0.40/0.56 (select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[964])).
% 0.40/0.56 tff(966,plain,
% 0.40/0.56 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.56 inference(symmetry,[status(thm)],[965])).
% 0.40/0.56 tff(967,plain,
% 0.40/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(968,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.40/0.56 inference(quant_inst,[status(thm)],[])).
% 0.40/0.56 tff(969,plain,
% 0.40/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))),
% 0.40/0.56 inference(modus_ponens,[status(thm)],[968, 967])).
% 0.40/0.56 tff(970,plain,
% 0.40/0.56 (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.40/0.56 inference(unit_resolution,[status(thm)],[969, 55, 170])).
% 0.40/0.56 tff(971,plain,
% 0.40/0.56 (select(a_840, i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[364])).
% 0.40/0.56 tff(972,plain,
% 0.40/0.56 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(a_840, i0)),
% 0.40/0.56 inference(symmetry,[status(thm)],[971])).
% 0.40/0.56 tff(973,plain,
% 0.40/0.56 (select(store(a_836, i2, e_837), i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0)),
% 0.40/0.56 inference(symmetry,[status(thm)],[812])).
% 0.40/0.56 tff(974,plain,
% 0.40/0.56 (select(store(a_836, i2, e_837), i0) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[351, 813])).
% 0.40/0.56 tff(975,plain,
% 0.40/0.56 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i0)),
% 0.40/0.56 inference(symmetry,[status(thm)],[974])).
% 0.40/0.56 tff(976,plain,
% 0.40/0.56 (select(a_872, i2) = e_843),
% 0.40/0.56 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 911, 808, 910, 115, 924, 346, 669, 975, 973, 972, 376])).
% 0.40/0.56 tff(977,plain,
% 0.40/0.56 (store(store(a_840, i0, e_841), i1, select(a_872, i2)) = store(a_842, i5, e_843)),
% 0.40/0.56 inference(monotonicity,[status(thm)],[380, 183, 976])).
% 0.40/0.56 tff(978,plain,
% 0.40/0.56 (select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[977])).
% 0.40/0.56 tff(979,plain,
% 0.40/0.56 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.56 inference(symmetry,[status(thm)],[978])).
% 0.40/0.56 tff(980,plain,
% 0.40/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(981,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(982,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[981, 980])).
% 0.40/0.57 tff(983,plain,
% 0.40/0.57 (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[982, 55, 49])).
% 0.40/0.57 tff(984,plain,
% 0.40/0.57 (select(a_872, i2) = e_845),
% 0.40/0.57 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 911, 808, 910, 115, 924, 346, 669, 975, 973, 972, 652, 649, 647])).
% 0.40/0.57 tff(985,plain,
% 0.40/0.57 (store(store(a_842, i5, e_843), i2, select(a_872, i2)) = store(a_844, i2, e_845)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[654, 984])).
% 0.40/0.57 tff(986,plain,
% 0.40/0.57 (select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[985])).
% 0.40/0.57 tff(987,plain,
% 0.40/0.57 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i2, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[986])).
% 0.40/0.57 tff(988,plain,
% 0.40/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(989,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(990,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[989, 988])).
% 0.40/0.57 tff(991,plain,
% 0.40/0.57 (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[990, 55, 170])).
% 0.40/0.57 tff(992,plain,
% 0.40/0.57 (select(a_851, i5) = e_847),
% 0.40/0.57 inference(transitivity,[status(thm)],[832, 406, 829, 389, 393])).
% 0.40/0.57 tff(993,plain,
% 0.40/0.57 (store(store(a_844, i2, e_845), i1, select(a_851, i5)) = store(a_846, i5, e_847)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[397, 183, 992])).
% 0.40/0.57 tff(994,plain,
% 0.40/0.57 (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[993])).
% 0.40/0.57 tff(995,plain,
% 0.40/0.57 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[994])).
% 0.40/0.57 tff(996,plain,
% 0.40/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(997,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(998,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[997, 996])).
% 0.40/0.57 tff(999,plain,
% 0.40/0.57 (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[998, 55, 170])).
% 0.40/0.57 tff(1000,plain,
% 0.40/0.57 (select(a_851, i5) = e_849),
% 0.40/0.57 inference(transitivity,[status(thm)],[832, 406, 410])).
% 0.40/0.57 tff(1001,plain,
% 0.40/0.57 (store(store(a_846, i5, e_847), i1, select(a_851, i5)) = store(a_848, i1, e_849)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[681, 1000])).
% 0.40/0.57 tff(1002,plain,
% 0.40/0.57 (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[1001])).
% 0.40/0.57 tff(1003,plain,
% 0.40/0.57 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[1002])).
% 0.40/0.57 tff(1004,plain,
% 0.40/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(1005,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(1006,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 0.40/0.57 tff(1007,plain,
% 0.40/0.57 (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[1006, 55, 170])).
% 0.40/0.57 tff(1008,plain,
% 0.40/0.57 (store(store(a_848, i1, e_849), i1, select(a_851, i5)) = store(a_850, i1, e_849)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[414, 1000])).
% 0.40/0.57 tff(1009,plain,
% 0.40/0.57 (select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[1008])).
% 0.40/0.57 tff(1010,plain,
% 0.40/0.57 (select(store(a_850, i1, e_849), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[1009])).
% 0.40/0.57 tff(1011,plain,
% 0.40/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(1012,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(1013,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 0.40/0.57 tff(1014,plain,
% 0.40/0.57 (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[1013, 55, 170])).
% 0.40/0.57 tff(1015,plain,
% 0.40/0.57 (select(store(a_848, i1, e_849), i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2)),
% 0.40/0.57 inference(symmetry,[status(thm)],[811])).
% 0.40/0.57 tff(1016,plain,
% 0.40/0.57 (store(a_848, i1, e_849) = store(store(a_846, i5, e_847), i1, select(a_851, i5))),
% 0.40/0.57 inference(symmetry,[status(thm)],[1001])).
% 0.40/0.57 tff(1017,plain,
% 0.40/0.57 (select(store(a_848, i1, e_849), i2) = select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[1016])).
% 0.40/0.57 tff(1018,plain,
% 0.40/0.57 (select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_848, i1, e_849), i2)),
% 0.40/0.57 inference(symmetry,[status(thm)],[1017])).
% 0.40/0.57 tff(1019,plain,
% 0.40/0.57 (select(store(a_846, i5, e_847), i2) = select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2)),
% 0.40/0.57 inference(symmetry,[status(thm)],[810])).
% 0.40/0.57 tff(1020,plain,
% 0.40/0.57 (store(a_846, i5, e_847) = store(store(a_844, i2, e_845), i1, select(a_851, i5))),
% 0.40/0.57 inference(symmetry,[status(thm)],[993])).
% 0.40/0.57 tff(1021,plain,
% 0.40/0.57 (select(store(a_846, i5, e_847), i2) = select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[1020])).
% 0.40/0.57 tff(1022,plain,
% 0.40/0.57 (select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2)),
% 0.40/0.57 inference(symmetry,[status(thm)],[1021])).
% 0.40/0.57 tff(1023,plain,
% 0.40/0.57 (select(store(a_844, i2, e_845), i2) = select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2)),
% 0.40/0.57 inference(symmetry,[status(thm)],[809])).
% 0.40/0.57 tff(1024,plain,
% 0.40/0.57 (select(a_872, i2) = e_852),
% 0.40/0.57 inference(transitivity,[status(thm)],[878, 806, 876, 807, 872, 514, 911, 808, 910, 115, 924, 346, 669, 975, 973, 972, 652, 649, 734, 731, 1023, 1022, 1019, 1018, 1015, 701, 699])).
% 0.40/0.57 tff(1025,plain,
% 0.40/0.57 (store(store(a_850, i1, e_849), i1, select(a_872, i2)) = store(a_851, i5, e_852)),
% 0.40/0.57 inference(monotonicity,[status(thm)],[736, 183, 1024])).
% 0.40/0.57 tff(1026,plain,
% 0.40/0.57 (select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[1025])).
% 0.40/0.57 tff(1027,plain,
% 0.40/0.57 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i1, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[1026])).
% 0.40/0.57 tff(1028,plain,
% 0.40/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.40/0.57 inference(rewrite,[status(thm)],[])).
% 0.40/0.57 tff(1029,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.40/0.57 inference(quant_inst,[status(thm)],[])).
% 0.40/0.57 tff(1030,plain,
% 0.40/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.40/0.57 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 0.40/0.57 tff(1031,plain,
% 0.40/0.57 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[1030, 55, 49])).
% 0.40/0.57 tff(1032,plain,
% 0.40/0.57 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.40/0.57 inference(monotonicity,[status(thm)],[432])).
% 0.40/0.57 tff(1033,plain,
% 0.40/0.57 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.57 inference(symmetry,[status(thm)],[1032])).
% 0.40/0.57 tff(1034,plain,
% 0.40/0.57 (select(store(store(a_853, i2, e_854), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[753, 170])).
% 0.40/0.57 tff(1035,plain,
% 0.40/0.57 (e_882 = e_883),
% 0.40/0.57 inference(transitivity,[status(thm)],[180, 765, 236, 760, 1034, 1033, 1031, 1027, 1014, 1010, 1007, 1003, 999, 995, 991, 987, 983, 979, 970, 966, 962, 958, 955, 951, 948, 944, 939, 934, 929, 921, 916, 908, 903, 898, 893, 888, 883, 870, 865, 861, 856, 851, 846, 842, 837, 795, 197, 61, 48, 29])).
% 0.40/0.57 tff(1036,plain,
% 0.40/0.57 ($false),
% 0.40/0.57 inference(unit_resolution,[status(thm)],[468, 1035])).
% 0.40/0.57 tff(1037,plain,((i1 = sk(a_859, a_880)) | (~(i5 = i1)) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (~(i0 = i2)) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.58 tff(1038,plain,
% 0.40/0.58 (i1 = sk(a_859, a_880)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1037, 813, 811, 810, 809, 812, 808, 807, 806, 182, 372, 316, 286, 49])).
% 0.40/0.58 tff(1039,plain,
% 0.40/0.58 (sk(a_859, a_880) = i1),
% 0.40/0.58 inference(symmetry,[status(thm)],[1038])).
% 0.40/0.58 tff(1040,plain,
% 0.40/0.58 (sk(a_859, a_880) = i5),
% 0.40/0.58 inference(transitivity,[status(thm)],[1039, 183])).
% 0.40/0.58 tff(1041,plain,
% 0.40/0.58 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[255, 1040])).
% 0.40/0.58 tff(1042,plain,
% 0.40/0.58 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1041])).
% 0.40/0.58 tff(1043,plain,
% 0.40/0.58 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[447, 1040])).
% 0.40/0.58 tff(1044,plain,
% 0.40/0.58 (e_882 = e_883),
% 0.40/0.58 inference(transitivity,[status(thm)],[180, 464, 236, 1043, 440, 438, 423, 832, 406, 829, 389, 826, 372, 823, 820, 818, 330, 328, 325, 317, 315, 519, 816, 296, 803, 287, 800, 278, 797, 72, 69, 260, 1042, 61, 48, 29])).
% 0.40/0.58 tff(1045,plain,
% 0.40/0.58 ($false),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[468, 1044])).
% 0.40/0.58 tff(1046,plain,((~(i0 = i2)) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(i5 = i1)) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.58 tff(1047,plain,
% 0.40/0.58 (~(i0 = i2)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1046, 812, 316, 372, 182, 811, 810, 809, 286, 808, 807, 806, 49])).
% 0.40/0.58 tff(1048,plain,
% 0.40/0.58 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[222, 1047])).
% 0.40/0.58 tff(1049,plain,
% 0.40/0.58 (select(store(a_861, i5, e_862), i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1048])).
% 0.40/0.58 tff(1050,plain,
% 0.40/0.58 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_872, i5))),
% 0.40/0.58 inference(symmetry,[status(thm)],[874])).
% 0.40/0.58 tff(1051,plain,
% 0.40/0.58 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1050])).
% 0.40/0.58 tff(1052,plain,
% 0.40/0.58 (select(a_872, i2) = e_862),
% 0.40/0.58 inference(transitivity,[status(thm)],[491, 806, 1051, 807, 511, 514, 100, 808, 112, 115, 105])).
% 0.40/0.58 tff(1053,plain,
% 0.40/0.58 (store(store(a_860, i2, e_837), i1, select(a_872, i2)) = store(a_861, i5, e_862)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[109, 183, 1052])).
% 0.40/0.58 tff(1054,plain,
% 0.40/0.58 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i1, select(a_872, i2))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1053])).
% 0.40/0.58 tff(1055,plain,
% 0.40/0.58 (select(store(a_861, i5, e_862), i2) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1054])).
% 0.40/0.58 tff(1056,plain,
% 0.40/0.58 (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1055])).
% 0.40/0.58 tff(1057,assumption,(select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)), introduced(assumption)).
% 0.40/0.58 tff(1058,plain,
% 0.40/0.58 (select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1057])).
% 0.40/0.58 tff(1059,plain,
% 0.40/0.58 (select(store(a_860, i2, e_837), i2) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[312])).
% 0.40/0.58 tff(1060,plain,
% 0.40/0.58 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(store(a_860, i2, e_837), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1059])).
% 0.40/0.58 tff(1061,plain,
% 0.40/0.58 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[350])).
% 0.40/0.58 tff(1062,plain,
% 0.40/0.58 (select(store(a_836, i2, e_837), i2) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1061])).
% 0.40/0.58 tff(1063,assumption,(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2)), introduced(assumption)).
% 0.40/0.58 tff(1064,plain,
% 0.40/0.58 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[335])).
% 0.40/0.58 tff(1065,plain,
% 0.40/0.58 (select(store(a_838, i1, e_839), i2) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1064])).
% 0.40/0.58 tff(1066,plain,
% 0.40/0.58 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[247, 1047])).
% 0.40/0.58 tff(1067,plain,
% 0.40/0.58 (select(a_836, i2) = e_841),
% 0.40/0.58 inference(transitivity,[status(thm)],[367, 817, 362])).
% 0.40/0.58 tff(1068,plain,
% 0.40/0.58 (store(store(a_838, i1, e_839), i0, select(a_836, i2)) = store(a_840, i0, e_841)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[147, 1067])).
% 0.40/0.58 tff(1069,plain,
% 0.40/0.58 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1068])).
% 0.40/0.58 tff(1070,plain,
% 0.40/0.58 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1069])).
% 0.40/0.58 tff(1071,plain,
% 0.40/0.58 (select(a_851, i5) = e_875),
% 0.40/0.58 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1070, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 296, 803, 287, 800, 278, 797, 9])).
% 0.40/0.58 tff(1072,plain,
% 0.40/0.58 (store(store(a_872, i5, e_873), i2, select(a_851, i5)) = store(a_874, i2, e_875)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[13, 1071])).
% 0.40/0.58 tff(1073,plain,
% 0.40/0.58 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i2, select(a_851, i5))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1072])).
% 0.40/0.58 tff(1074,plain,
% 0.40/0.58 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1073])).
% 0.40/0.58 tff(1075,plain,
% 0.40/0.58 (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1074])).
% 0.40/0.58 tff(1076,plain,
% 0.40/0.58 (select(store(a_869, i1, e_870), i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[806])).
% 0.40/0.58 tff(1077,plain,
% 0.40/0.58 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1051])).
% 0.40/0.58 tff(1078,plain,
% 0.40/0.58 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2)),
% 0.40/0.58 inference(symmetry,[status(thm)],[807])).
% 0.40/0.58 tff(1079,plain,
% 0.40/0.58 (select(store(a_861, i5, e_862), i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5)),
% 0.40/0.58 inference(symmetry,[status(thm)],[808])).
% 0.40/0.58 tff(1080,plain,
% 0.40/0.58 (select(a_861, i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[313])).
% 0.40/0.58 tff(1081,plain,
% 0.40/0.58 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(a_861, i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1080])).
% 0.40/0.58 tff(1082,plain,
% 0.40/0.58 ((~(i0 = i2)) <=> (~(i2 = i0))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[80])).
% 0.40/0.58 tff(1083,plain,
% 0.40/0.58 (~(i2 = i0)),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[1047, 1082])).
% 0.40/0.58 tff(1084,plain,
% 0.40/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i0) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i0) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(1085,plain,
% 0.40/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i0) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(1086,plain,
% 0.40/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i0) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 0.40/0.58 tff(1087,plain,
% 0.40/0.58 ((i2 = i0) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1086, 55])).
% 0.40/0.58 tff(1088,plain,
% 0.40/0.58 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1087, 1083])).
% 0.40/0.58 tff(1089,plain,
% 0.40/0.58 (select(store(a_836, i1, e_839), i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1088])).
% 0.40/0.58 tff(1090,plain,
% 0.40/0.58 (select(store(a_836, i1, e_839), i0) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[323])).
% 0.40/0.58 tff(1091,plain,
% 0.40/0.58 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1090])).
% 0.40/0.58 tff(1092,assumption,(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)), introduced(assumption)).
% 0.40/0.58 tff(1093,plain,
% 0.40/0.58 (select(store(a_834, i3, e_835), i0) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1092])).
% 0.40/0.58 tff(1094,plain,
% 0.40/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i0) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i0) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.40/0.58 inference(rewrite,[status(thm)],[])).
% 0.40/0.58 tff(1095,plain,
% 0.40/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = i0) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(1096,plain,
% 0.40/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = i0) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 0.40/0.58 tff(1097,plain,
% 0.40/0.58 ((i2 = i0) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1096, 55])).
% 0.40/0.58 tff(1098,plain,
% 0.40/0.58 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[1097, 1083])).
% 0.40/0.58 tff(1099,plain,
% 0.40/0.58 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_836, i2, e_837), i0)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[350])).
% 0.40/0.58 tff(1100,plain,
% 0.40/0.58 (select(store(a_836, i2, e_837), i0) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1099])).
% 0.40/0.58 tff(1101,plain,
% 0.40/0.58 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(a_840, i0)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[336])).
% 0.40/0.58 tff(1102,plain,
% 0.40/0.58 (select(a_840, i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0)),
% 0.40/0.58 inference(symmetry,[status(thm)],[1101])).
% 0.40/0.58 tff(1103,plain,
% 0.40/0.58 (select(a_840, i0) = e_873),
% 0.40/0.58 inference(transitivity,[status(thm)],[1102, 812, 1100, 1098, 1093, 1091, 1089, 1081, 116, 113, 1079, 101, 515, 512, 1078, 1077, 1076, 492, 488])).
% 0.40/0.58 tff(1104,plain,
% 0.40/0.58 (store(store(a_871, i1, e_870), i1, select(a_840, i0)) = store(a_872, i5, e_873)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[264, 183, 1103])).
% 0.40/0.58 tff(1105,plain,
% 0.40/0.58 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i1, select(a_840, i0))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1104])).
% 0.40/0.58 tff(1106,plain,
% 0.40/0.58 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1105])).
% 0.40/0.58 tff(1107,plain,
% 0.40/0.58 (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1106])).
% 0.40/0.58 tff(1108,plain,
% 0.40/0.58 (select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[528, 55, 170])).
% 0.40/0.58 tff(1109,plain,
% 0.40/0.58 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1108])).
% 0.40/0.58 tff(1110,plain,
% 0.40/0.58 (select(a_851, i5) = e_870),
% 0.40/0.58 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1070, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 296, 803, 287, 800, 268])).
% 0.40/0.58 tff(1111,plain,
% 0.40/0.58 (store(store(a_869, i1, e_870), i1, select(a_851, i5)) = store(a_871, i1, e_870)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[272, 1110])).
% 0.40/0.58 tff(1112,plain,
% 0.40/0.58 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_851, i5))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1111])).
% 0.40/0.58 tff(1113,plain,
% 0.40/0.58 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1112])).
% 0.40/0.58 tff(1114,plain,
% 0.40/0.58 (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1113])).
% 0.40/0.58 tff(1115,plain,
% 0.40/0.58 (store(store(a_867, i2, e_868), i1, select(a_851, i5)) = store(a_869, i1, e_870)),
% 0.40/0.58 inference(monotonicity,[status(thm)],[282, 1110])).
% 0.40/0.58 tff(1116,plain,
% 0.40/0.58 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_851, i5))),
% 0.40/0.58 inference(symmetry,[status(thm)],[1115])).
% 0.40/0.58 tff(1117,plain,
% 0.40/0.58 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.58 inference(monotonicity,[status(thm)],[1116])).
% 0.40/0.58 tff(1118,plain,
% 0.40/0.58 (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1117])).
% 0.40/0.59 tff(1119,plain,
% 0.40/0.59 (select(a_840, i0) = e_868),
% 0.40/0.59 inference(transitivity,[status(thm)],[1102, 812, 1100, 1098, 1093, 1091, 1089, 1081, 116, 113, 1079, 101, 85])).
% 0.40/0.59 tff(1120,plain,
% 0.40/0.59 (store(store(a_865, i5, e_866), i2, select(a_840, i0)) = store(a_867, i2, e_868)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[140, 1119])).
% 0.40/0.59 tff(1121,plain,
% 0.40/0.59 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_840, i0))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1120])).
% 0.40/0.59 tff(1122,plain,
% 0.40/0.59 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1121])).
% 0.40/0.59 tff(1123,plain,
% 0.40/0.59 (select(store(store(a_865, i5, e_866), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1122])).
% 0.40/0.59 tff(1124,plain,
% 0.40/0.59 (select(a_851, i5) = e_866),
% 0.40/0.59 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1070, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 291])).
% 0.40/0.59 tff(1125,plain,
% 0.40/0.59 (store(store(a_863, i0, e_864), i1, select(a_851, i5)) = store(a_865, i5, e_866)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[129, 183, 1124])).
% 0.40/0.59 tff(1126,plain,
% 0.40/0.59 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i1, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1125])).
% 0.40/0.59 tff(1127,plain,
% 0.40/0.59 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1126])).
% 0.40/0.59 tff(1128,plain,
% 0.40/0.59 (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1127])).
% 0.40/0.59 tff(1129,plain,
% 0.40/0.59 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[369])).
% 0.40/0.59 tff(1130,plain,
% 0.40/0.59 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2)),
% 0.40/0.59 inference(symmetry,[status(thm)],[1129])).
% 0.40/0.59 tff(1131,plain,
% 0.40/0.59 (select(a_851, i5) = e_875),
% 0.40/0.59 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1130, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 296, 803, 287, 800, 278, 797, 9])).
% 0.40/0.59 tff(1132,plain,
% 0.40/0.59 (store(store(a_872, i5, e_873), i2, select(a_851, i5)) = store(a_874, i2, e_875)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[13, 1131])).
% 0.40/0.59 tff(1133,plain,
% 0.40/0.59 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i2, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1132])).
% 0.40/0.59 tff(1134,plain,
% 0.40/0.59 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1133])).
% 0.40/0.59 tff(1135,plain,
% 0.40/0.59 (select(store(store(a_872, i5, e_873), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1134])).
% 0.40/0.59 tff(1136,plain,
% 0.40/0.59 (select(a_851, i5) = e_870),
% 0.40/0.59 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1130, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 296, 803, 287, 800, 268])).
% 0.40/0.59 tff(1137,plain,
% 0.40/0.59 (store(store(a_869, i1, e_870), i1, select(a_851, i5)) = store(a_871, i1, e_870)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[272, 1136])).
% 0.40/0.59 tff(1138,plain,
% 0.40/0.59 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1137])).
% 0.40/0.59 tff(1139,plain,
% 0.40/0.59 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1138])).
% 0.40/0.59 tff(1140,plain,
% 0.40/0.59 (select(store(store(a_869, i1, e_870), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1139])).
% 0.40/0.59 tff(1141,plain,
% 0.40/0.59 (store(store(a_867, i2, e_868), i1, select(a_851, i5)) = store(a_869, i1, e_870)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[282, 1136])).
% 0.40/0.59 tff(1142,plain,
% 0.40/0.59 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1141])).
% 0.40/0.59 tff(1143,plain,
% 0.40/0.59 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1142])).
% 0.40/0.59 tff(1144,plain,
% 0.40/0.59 (select(store(store(a_867, i2, e_868), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1143])).
% 0.40/0.59 tff(1145,plain,
% 0.40/0.59 (select(a_851, i5) = e_866),
% 0.40/0.59 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1130, 1066, 1065, 1063, 1062, 349, 347, 1060, 1058, 1056, 1049, 805, 291])).
% 0.40/0.59 tff(1146,plain,
% 0.40/0.59 (store(store(a_863, i0, e_864), i1, select(a_851, i5)) = store(a_865, i5, e_866)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[129, 183, 1145])).
% 0.40/0.59 tff(1147,plain,
% 0.40/0.59 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i1, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1146])).
% 0.40/0.59 tff(1148,plain,
% 0.40/0.59 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1147])).
% 0.40/0.59 tff(1149,plain,
% 0.40/0.59 (select(store(store(a_863, i0, e_864), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1148])).
% 0.40/0.59 tff(1150,plain,
% 0.40/0.59 (select(a_836, i2) = e_864),
% 0.40/0.59 inference(transitivity,[status(thm)],[328, 325, 317, 315, 89])).
% 0.40/0.59 tff(1151,plain,
% 0.40/0.59 (store(store(a_861, i5, e_862), i0, select(a_836, i2)) = store(a_863, i0, e_864)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[93, 1150])).
% 0.40/0.59 tff(1152,plain,
% 0.40/0.59 (store(a_863, i0, e_864) = store(store(a_861, i5, e_862), i0, select(a_836, i2))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1151])).
% 0.40/0.59 tff(1153,plain,
% 0.40/0.59 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1152])).
% 0.40/0.59 tff(1154,plain,
% 0.40/0.59 (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1153])).
% 0.40/0.59 tff(1155,assumption,(~(i0 = sk(a_859, a_880))), introduced(assumption)).
% 0.40/0.59 tff(1156,plain,
% 0.40/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(1157,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(1158,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 0.40/0.59 tff(1159,plain,
% 0.40/0.59 ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[1158, 55])).
% 0.40/0.59 tff(1160,plain,
% 0.40/0.59 (select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[1159, 1155])).
% 0.40/0.59 tff(1161,plain,
% 0.40/0.59 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1160])).
% 0.40/0.59 tff(1162,plain,
% 0.40/0.59 (select(a_840, i0) = e_862),
% 0.40/0.59 inference(transitivity,[status(thm)],[1102, 812, 1100, 1098, 1093, 1091, 1089, 1081, 105])).
% 0.40/0.59 tff(1163,plain,
% 0.40/0.59 (store(store(a_860, i2, e_837), i1, select(a_840, i0)) = store(a_861, i5, e_862)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[109, 183, 1162])).
% 0.40/0.59 tff(1164,plain,
% 0.40/0.59 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i1, select(a_840, i0))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1163])).
% 0.40/0.59 tff(1165,plain,
% 0.40/0.59 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1164])).
% 0.40/0.59 tff(1166,plain,
% 0.40/0.59 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1165])).
% 0.40/0.59 tff(1167,plain,
% 0.40/0.59 (select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[586, 55, 170])).
% 0.40/0.59 tff(1168,plain,
% 0.40/0.59 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1167])).
% 0.40/0.59 tff(1169,plain,
% 0.40/0.59 (select(a_851, i5) = e_837),
% 0.40/0.59 inference(transitivity,[status(thm)],[832, 406, 829, 389, 826, 372, 1130, 1066, 1065, 1063, 1062, 349, 306])).
% 0.40/0.59 tff(1170,plain,
% 0.40/0.59 (store(store(a_836, i1, e_839), i2, select(a_851, i5)) = store(a_860, i2, e_837)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[310, 1169])).
% 0.40/0.59 tff(1171,plain,
% 0.40/0.59 (store(a_860, i2, e_837) = store(store(a_836, i1, e_839), i2, select(a_851, i5))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1170])).
% 0.40/0.59 tff(1172,plain,
% 0.40/0.59 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1171])).
% 0.40/0.59 tff(1173,plain,
% 0.40/0.59 (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1172])).
% 0.40/0.59 tff(1174,plain,
% 0.40/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(1175,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(1176,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[1175, 1174])).
% 0.40/0.59 tff(1177,plain,
% 0.40/0.59 (select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[1176, 55, 49])).
% 0.40/0.59 tff(1178,plain,
% 0.40/0.59 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1177])).
% 0.40/0.59 tff(1179,plain,
% 0.40/0.59 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[323])).
% 0.40/0.59 tff(1180,plain,
% 0.40/0.59 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1179])).
% 0.40/0.59 tff(1181,plain,
% 0.40/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(1182,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(1183,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 0.40/0.59 tff(1184,plain,
% 0.40/0.59 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[1183, 55, 170])).
% 0.40/0.59 tff(1185,plain,
% 0.40/0.59 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1184])).
% 0.40/0.59 tff(1186,plain,
% 0.40/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.59 inference(rewrite,[status(thm)],[])).
% 0.40/0.59 tff(1187,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.40/0.59 inference(quant_inst,[status(thm)],[])).
% 0.40/0.59 tff(1188,plain,
% 0.40/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.40/0.59 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 0.40/0.59 tff(1189,plain,
% 0.40/0.59 (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.40/0.59 inference(unit_resolution,[status(thm)],[1188, 55, 49])).
% 0.40/0.59 tff(1190,plain,
% 0.40/0.59 (store(store(a_834, i3, e_835), i2, select(a_851, i5)) = store(a_836, i2, e_837)),
% 0.40/0.59 inference(monotonicity,[status(thm)],[321, 1169])).
% 0.40/0.59 tff(1191,plain,
% 0.40/0.59 (select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.40/0.59 inference(monotonicity,[status(thm)],[1190])).
% 0.40/0.59 tff(1192,plain,
% 0.40/0.59 (select(store(a_836, i2, e_837), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.40/0.59 inference(symmetry,[status(thm)],[1191])).
% 0.40/0.60 tff(1193,plain,
% 0.40/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(1194,plain,
% 0.40/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(1195,plain,
% 0.40/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 0.40/0.60 tff(1196,plain,
% 0.40/0.60 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1195, 55, 170])).
% 0.40/0.60 tff(1197,plain,
% 0.40/0.60 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[335])).
% 0.40/0.60 tff(1198,plain,
% 0.40/0.60 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1197])).
% 0.40/0.60 tff(1199,plain,
% 0.40/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(1200,plain,
% 0.40/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(1201,plain,
% 0.40/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 0.40/0.60 tff(1202,plain,
% 0.40/0.60 ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1201, 55])).
% 0.40/0.60 tff(1203,plain,
% 0.40/0.60 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1202, 1155])).
% 0.40/0.60 tff(1204,plain,
% 0.40/0.60 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[369])).
% 0.40/0.60 tff(1205,plain,
% 0.40/0.60 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), sk(a_859, a_880))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1204])).
% 0.40/0.60 tff(1206,plain,
% 0.40/0.60 (select(store(store(a_840, i0, e_841), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[635, 55, 170])).
% 0.40/0.60 tff(1207,plain,
% 0.40/0.60 (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[694, 55, 170])).
% 0.40/0.60 tff(1208,plain,
% 0.40/0.60 (select(a_840, i0) = e_852),
% 0.40/0.60 inference(transitivity,[status(thm)],[652, 649, 734, 731, 1023, 1022, 1019, 1018, 1015, 701, 699])).
% 0.40/0.60 tff(1209,plain,
% 0.40/0.60 (store(store(a_850, i1, e_849), i1, select(a_840, i0)) = store(a_851, i5, e_852)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[736, 183, 1208])).
% 0.40/0.60 tff(1210,plain,
% 0.40/0.60 (select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[1209])).
% 0.40/0.60 tff(1211,plain,
% 0.40/0.60 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i1, select(a_840, i0)), sk(a_859, a_880))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1210])).
% 0.40/0.60 tff(1212,plain,
% 0.40/0.60 (e_882 = e_883),
% 0.40/0.60 inference(transitivity,[status(thm)],[180, 765, 236, 760, 1034, 1033, 1031, 1211, 1207, 1010, 1007, 1003, 999, 995, 991, 657, 643, 639, 1206, 1205, 1203, 1198, 1196, 1192, 1189, 1185, 1180, 1178, 1173, 1168, 1166, 1161, 1154, 898, 1149, 556, 1123, 870, 1144, 861, 1140, 1109, 1107, 842, 1135, 795, 197, 61, 48, 29])).
% 0.40/0.60 tff(1213,plain,
% 0.40/0.60 ($false),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[468, 1212])).
% 0.40/0.60 tff(1214,plain,((i0 = sk(a_859, a_880)) | (~(i5 = i1)) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (i1 = sk(a_859, a_880)) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.60 tff(1215,plain,
% 0.40/0.60 (i0 = sk(a_859, a_880)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1214, 170, 811, 810, 809, 1063, 372, 1092, 812, 316, 1057, 806, 807, 808, 286, 182, 49])).
% 0.40/0.60 tff(1216,plain,
% 0.40/0.60 (sk(a_859, a_880) = i0),
% 0.40/0.60 inference(symmetry,[status(thm)],[1215])).
% 0.40/0.60 tff(1217,plain,
% 0.40/0.60 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[95, 1216])).
% 0.40/0.60 tff(1218,plain,
% 0.40/0.60 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1217])).
% 0.40/0.60 tff(1219,plain,
% 0.40/0.60 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.40/0.60 inference(monotonicity,[status(thm)],[821, 1215])).
% 0.40/0.60 tff(1220,plain,
% 0.40/0.60 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1219])).
% 0.40/0.60 tff(1221,plain,
% 0.40/0.60 (e_882 = e_883),
% 0.40/0.60 inference(transitivity,[status(thm)],[180, 765, 236, 760, 1034, 1033, 1031, 1211, 1207, 1010, 1007, 1003, 999, 995, 991, 657, 643, 639, 1206, 1220, 820, 818, 330, 328, 325, 317, 315, 519, 1218, 898, 1128, 556, 1123, 870, 1118, 861, 1114, 1109, 1107, 842, 1075, 795, 197, 61, 48, 29])).
% 0.40/0.60 tff(1222,plain,
% 0.40/0.60 ($false),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[468, 1221])).
% 0.40/0.60 tff(1223,plain,((i1 = sk(a_859, a_880)) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(i5 = i1)) | (~(select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i2) = select(store(a_836, i2, e_837), i2))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.60 tff(1224,plain,
% 0.40/0.60 (i1 = sk(a_859, a_880)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1223, 793, 706, 716, 726, 182, 210, 789, 243, 497, 508, 785, 778, 774, 193, 49])).
% 0.40/0.60 tff(1225,plain,
% 0.40/0.60 (sk(a_859, a_880) = i1),
% 0.40/0.60 inference(symmetry,[status(thm)],[1224])).
% 0.40/0.60 tff(1226,plain,
% 0.40/0.60 (sk(a_859, a_880) = i5),
% 0.40/0.60 inference(transitivity,[status(thm)],[1225, 183])).
% 0.40/0.60 tff(1227,plain,
% 0.40/0.60 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[255, 1226])).
% 0.40/0.60 tff(1228,plain,
% 0.40/0.60 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1227])).
% 0.40/0.60 tff(1229,plain,
% 0.40/0.60 (select(store(a_865, i5, e_866), i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1)),
% 0.40/0.60 inference(symmetry,[status(thm)],[193])).
% 0.40/0.60 tff(1230,plain,
% 0.40/0.60 (~(i0 = i2)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1046, 774, 210, 243, 182, 706, 716, 726, 193, 785, 508, 497, 49])).
% 0.40/0.60 tff(1231,plain,
% 0.40/0.60 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[222, 1230])).
% 0.40/0.60 tff(1232,plain,
% 0.40/0.60 (select(store(a_861, i5, e_862), i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1231])).
% 0.40/0.60 tff(1233,plain,
% 0.40/0.60 (select(a_872, i2) = e_862),
% 0.40/0.60 inference(transitivity,[status(thm)],[491, 497, 1051, 508, 511, 514, 100, 785, 112, 115, 105])).
% 0.40/0.60 tff(1234,plain,
% 0.40/0.60 (store(store(a_860, i2, e_837), i1, select(a_872, i2)) = store(a_861, i5, e_862)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[109, 183, 1233])).
% 0.40/0.60 tff(1235,plain,
% 0.40/0.60 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), i1, select(a_872, i2))),
% 0.40/0.60 inference(symmetry,[status(thm)],[1234])).
% 0.40/0.60 tff(1236,plain,
% 0.40/0.60 (select(store(a_861, i5, e_862), i2) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[1235])).
% 0.40/0.60 tff(1237,plain,
% 0.40/0.60 (select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1236])).
% 0.40/0.60 tff(1238,plain,
% 0.40/0.60 (select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), i1, select(a_872, i2)), i2)),
% 0.40/0.60 inference(symmetry,[status(thm)],[793])).
% 0.40/0.60 tff(1239,plain,
% 0.40/0.60 (select(store(store(a_838, i1, e_839), i0, select(a_836, i2)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[247, 1230])).
% 0.40/0.60 tff(1240,plain,
% 0.40/0.60 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[447, 1226])).
% 0.40/0.60 tff(1241,plain,
% 0.40/0.60 (e_882 = e_883),
% 0.40/0.60 inference(transitivity,[status(thm)],[180, 464, 236, 1240, 440, 438, 423, 832, 406, 829, 389, 826, 243, 1130, 1239, 1065, 789, 1062, 349, 347, 1060, 1238, 1237, 1232, 805, 296, 803, 1229, 800, 278, 797, 72, 69, 260, 1228, 61, 48, 29])).
% 0.40/0.60 tff(1242,plain,
% 0.40/0.60 ($false),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[468, 1241])).
% 0.40/0.60 tff(1243,plain,((i2 = sk(a_859, a_880)) | (~(i5 = i1)) | (i1 = i2)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.60 tff(1244,plain,
% 0.40/0.60 (i2 = sk(a_859, a_880)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1243, 169, 182])).
% 0.40/0.60 tff(1245,plain,
% 0.40/0.60 (sk(a_859, a_880) = i2),
% 0.40/0.60 inference(symmetry,[status(thm)],[1244])).
% 0.40/0.60 tff(1246,plain,
% 0.40/0.60 (i_881 = i2),
% 0.40/0.60 inference(transitivity,[status(thm)],[32, 1245])).
% 0.40/0.60 tff(1247,plain,
% 0.40/0.60 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[463, 1246])).
% 0.40/0.60 tff(1248,plain,
% 0.40/0.60 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2) = select(a_859, i_881)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1247])).
% 0.40/0.60 tff(1249,plain,
% 0.40/0.60 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2) = select(a_855, i5))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(1250,plain,
% 0.40/0.60 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2) = select(a_855, i5)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1249, 23])).
% 0.40/0.60 tff(1251,plain,
% 0.40/0.60 (select(a_855, i5) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1250])).
% 0.40/0.60 tff(1252,plain,
% 0.40/0.60 (select(a_855, i5) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5)),
% 0.40/0.60 inference(monotonicity,[status(thm)],[437])).
% 0.40/0.60 tff(1253,plain,
% 0.40/0.60 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(a_855, i5)),
% 0.40/0.60 inference(symmetry,[status(thm)],[1252])).
% 0.40/0.60 tff(1254,plain,
% 0.40/0.60 (((~![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_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), 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_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)))),
% 0.40/0.60 inference(rewrite,[status(thm)],[])).
% 0.40/0.60 tff(1255,plain,
% 0.40/0.60 ((~![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_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)))),
% 0.40/0.60 inference(quant_inst,[status(thm)],[])).
% 0.40/0.60 tff(1256,plain,
% 0.40/0.60 ((~![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_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))),
% 0.40/0.60 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 0.40/0.60 tff(1257,plain,
% 0.40/0.60 ((i2 = i5) | (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1256, 55])).
% 0.40/0.60 tff(1258,plain,
% 0.40/0.60 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.40/0.60 inference(unit_resolution,[status(thm)],[1257, 205])).
% 0.40/0.61 tff(1259,plain,
% 0.40/0.61 (select(store(a_851, i5, e_852), i5) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1258])).
% 0.40/0.61 tff(1260,plain,
% 0.40/0.61 (store(store(a_850, i1, e_849), i5, select(a_851, i2)) = store(a_851, i5, e_852)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[736, 699])).
% 0.40/0.61 tff(1261,plain,
% 0.40/0.61 (store(a_851, i5, e_852) = store(store(a_850, i1, e_849), i5, select(a_851, i2))),
% 0.40/0.61 inference(symmetry,[status(thm)],[1260])).
% 0.40/0.61 tff(1262,plain,
% 0.40/0.61 (select(store(a_851, i5, e_852), i5) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), i5)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1261])).
% 0.40/0.61 tff(1263,plain,
% 0.40/0.61 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1262])).
% 0.40/0.61 tff(1264,plain,
% 0.40/0.61 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), i5) = select(a_851, i2))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(1265,plain,
% 0.40/0.61 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), i5) = select(a_851, i2)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1264, 23])).
% 0.40/0.61 tff(1266,plain,
% 0.40/0.61 (select(a_851, i2) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1265])).
% 0.40/0.61 tff(1267,plain,
% 0.40/0.61 (((~![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_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), 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_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(1268,plain,
% 0.40/0.61 ((~![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_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(1269,plain,
% 0.40/0.61 ((~![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_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 0.40/0.61 tff(1270,plain,
% 0.40/0.61 ((i2 = i5) | (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1269, 55])).
% 0.40/0.61 tff(1271,plain,
% 0.40/0.61 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1270, 205])).
% 0.40/0.61 tff(1272,assumption,(i2 = sk(a_859, a_880)), introduced(assumption)).
% 0.40/0.61 tff(1273,plain,
% 0.40/0.61 (sk(a_859, a_880) = i2),
% 0.40/0.61 inference(symmetry,[status(thm)],[1272])).
% 0.40/0.61 tff(1274,plain,
% 0.40/0.61 (i_881 = i2),
% 0.40/0.61 inference(transitivity,[status(thm)],[32, 1273])).
% 0.40/0.61 tff(1275,plain,
% 0.40/0.61 (select(a_880, i_881) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[46, 1274])).
% 0.40/0.61 tff(1276,plain,
% 0.40/0.61 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2) = select(a_880, i_881)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1275])).
% 0.40/0.61 tff(1277,plain,
% 0.40/0.61 (select(a_876, i5) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2)),
% 0.40/0.61 inference(symmetry,[status(thm)],[25])).
% 0.40/0.61 tff(1278,plain,
% 0.40/0.61 (select(a_876, i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[67])).
% 0.40/0.61 tff(1279,plain,
% 0.40/0.61 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(a_876, i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1278])).
% 0.40/0.61 tff(1280,assumption,(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)), introduced(assumption)).
% 0.40/0.61 tff(1281,plain,
% 0.40/0.61 (select(store(a_872, i5, e_873), i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1280])).
% 0.40/0.61 tff(1282,plain,
% 0.40/0.61 (store(store(a_871, i1, e_870), i5, select(a_872, i2)) = store(a_872, i5, e_873)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[264, 488])).
% 0.40/0.61 tff(1283,plain,
% 0.40/0.61 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_872, i2))),
% 0.40/0.61 inference(symmetry,[status(thm)],[1282])).
% 0.40/0.61 tff(1284,plain,
% 0.40/0.61 (select(store(a_872, i5, e_873), i5) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), i5)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1283])).
% 0.40/0.61 tff(1285,plain,
% 0.40/0.61 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1284])).
% 0.40/0.61 tff(1286,plain,
% 0.40/0.61 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), i5) = select(a_872, i2))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(1287,plain,
% 0.40/0.61 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), i5) = select(a_872, i2)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1286, 23])).
% 0.40/0.61 tff(1288,plain,
% 0.40/0.61 (select(a_872, i2) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1287])).
% 0.40/0.61 tff(1289,assumption,(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)), introduced(assumption)).
% 0.40/0.61 tff(1290,plain,
% 0.40/0.61 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[463, 1274])).
% 0.40/0.61 tff(1291,plain,
% 0.40/0.61 (e_882 = e_883),
% 0.40/0.61 inference(transitivity,[status(thm)],[180, 1290, 1250, 1252, 1289, 1262, 1265, 700, 811, 1017, 810, 1021, 809, 730, 733, 648, 651, 338, 330, 328, 325, 317, 315, 519, 518, 515, 512, 1078, 504, 1076, 492, 1288, 1285, 1281, 1279, 1277, 1276, 29])).
% 0.40/0.61 tff(1292,plain,
% 0.40/0.61 ($false),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[468, 1291])).
% 0.40/0.61 tff(1293,plain,((~(i1 = i0)) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(i5 = i1)) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.61 tff(1294,plain,
% 0.40/0.61 (~(i1 = i0)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1293, 1258, 706, 716, 726, 1271, 497, 508, 210, 182, 1244])).
% 0.40/0.61 tff(1295,plain,
% 0.40/0.61 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[773, 1294])).
% 0.40/0.61 tff(1296,plain,
% 0.40/0.61 (select(store(a_836, i2, e_837), i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1295])).
% 0.40/0.61 tff(1297,plain,
% 0.40/0.61 (store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)) = store(a_836, i2, e_837)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[321, 1245, 306])).
% 0.40/0.61 tff(1298,plain,
% 0.40/0.61 (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_836, i2, e_837), i0)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1297])).
% 0.40/0.61 tff(1299,plain,
% 0.40/0.61 ((sk(a_859, a_880) = i0) <=> (i0 = sk(a_859, a_880))),
% 0.40/0.61 inference(commutativity,[status(thm)],[])).
% 0.40/0.61 tff(1300,plain,
% 0.40/0.61 ((i0 = sk(a_859, a_880)) <=> (sk(a_859, a_880) = i0)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1299])).
% 0.40/0.61 tff(1301,plain,
% 0.40/0.61 ((i0 = sk(a_859, a_880)) <=> (i0 = i2)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1245])).
% 0.40/0.61 tff(1302,plain,
% 0.40/0.61 ((i0 = sk(a_859, a_880)) <=> (i2 = i0)),
% 0.40/0.61 inference(transitivity,[status(thm)],[1301, 80])).
% 0.40/0.61 tff(1303,plain,
% 0.40/0.61 ((i2 = i0) <=> (i0 = sk(a_859, a_880))),
% 0.40/0.61 inference(symmetry,[status(thm)],[1302])).
% 0.40/0.61 tff(1304,plain,
% 0.40/0.61 ((i0 = i2) <=> (sk(a_859, a_880) = i0)),
% 0.40/0.61 inference(transitivity,[status(thm)],[80, 1303, 1300])).
% 0.40/0.61 tff(1305,plain,
% 0.40/0.61 ((~(i0 = i2)) <=> (~(sk(a_859, a_880) = i0))),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1304])).
% 0.40/0.61 tff(1306,plain,
% 0.40/0.61 (~(i0 = i5)),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[1294, 783])).
% 0.40/0.61 tff(1307,plain,
% 0.40/0.61 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[121, 1306])).
% 0.40/0.61 tff(1308,plain,
% 0.40/0.61 (select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[501])).
% 0.40/0.61 tff(1309,plain,
% 0.40/0.61 (e_882 = e_883),
% 0.40/0.61 inference(transitivity,[status(thm)],[180, 1290, 1250, 1252, 1289, 1262, 1265, 700, 811, 1017, 810, 1021, 809, 730, 733, 648, 651, 971, 812, 974, 349, 347, 923, 116, 909, 1079, 131, 515, 871, 1078, 1308, 1076, 877, 1288, 1285, 1281, 1279, 1277, 1276, 29])).
% 0.40/0.61 tff(1310,plain,
% 0.40/0.61 ($false),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[468, 1309])).
% 0.40/0.61 tff(1311,plain,((~(i0 = i2)) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_851, i5)), i2) = select(store(a_846, i5, e_847), i2))) | (~(select(store(store(a_844, i2, e_845), i1, select(a_851, i5)), i2) = select(store(a_844, i2, e_845), i2))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5) = select(store(a_861, i5, e_862), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_872, i5)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))) | (~(i5 = i1)) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.61 tff(1312,plain,
% 0.40/0.61 (~(i0 = i2)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1311, 1258, 706, 716, 726, 1295, 1307, 508, 497, 1271, 182, 1244])).
% 0.40/0.61 tff(1313,plain,
% 0.40/0.61 (~(sk(a_859, a_880) = i0)),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[1312, 1305])).
% 0.40/0.61 tff(1314,plain,
% 0.40/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i0) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i0) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.40/0.61 inference(rewrite,[status(thm)],[])).
% 0.40/0.61 tff(1315,plain,
% 0.40/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i0) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.40/0.61 inference(quant_inst,[status(thm)],[])).
% 0.40/0.61 tff(1316,plain,
% 0.40/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i0) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 0.40/0.61 tff(1317,plain,
% 0.40/0.61 ((sk(a_859, a_880) = i0) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1316, 55])).
% 0.40/0.61 tff(1318,plain,
% 0.40/0.61 (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1317, 1313])).
% 0.40/0.61 tff(1319,plain,
% 0.40/0.61 (select(store(a_834, i3, e_835), i0) = select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_836, i1)), i0)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1318])).
% 0.40/0.61 tff(1320,plain,
% 0.40/0.61 (select(store(a_834, i3, e_835), i0) = e_882),
% 0.40/0.61 inference(transitivity,[status(thm)],[1319, 1298, 1296, 1101, 652, 649, 734, 731, 727, 722, 717, 712, 707, 701, 1266, 1263, 1259, 1253, 1251, 1248, 181])).
% 0.40/0.61 tff(1321,plain,
% 0.40/0.61 (select(a_880, i_881) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[46, 1246])).
% 0.40/0.61 tff(1322,plain,
% 0.40/0.61 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2) = select(a_880, i_881)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1321])).
% 0.40/0.61 tff(1323,plain,
% 0.40/0.61 (select(store(a_872, i5, e_873), i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1271])).
% 0.40/0.61 tff(1324,plain,
% 0.40/0.61 (select(store(a_861, i5, e_862), i5) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i5)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1307])).
% 0.40/0.61 tff(1325,plain,
% 0.40/0.61 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(a_861, i0)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[922])).
% 0.40/0.61 tff(1326,plain,
% 0.40/0.61 (~(i2 = i0)),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[1312, 1082])).
% 0.40/0.61 tff(1327,plain,
% 0.40/0.61 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1087, 1326])).
% 0.40/0.61 tff(1328,plain,
% 0.40/0.61 (select(store(a_836, i1, e_839), i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.40/0.61 inference(symmetry,[status(thm)],[1327])).
% 0.40/0.61 tff(1329,plain,
% 0.40/0.61 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[322])).
% 0.40/0.61 tff(1330,plain,
% 0.40/0.61 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = e_883),
% 0.40/0.61 inference(transitivity,[status(thm)],[1329, 1328, 1325, 116, 909, 1324, 131, 515, 871, 509, 1308, 498, 877, 1288, 1285, 1323, 1279, 1277, 1322, 29])).
% 0.40/0.61 tff(1331,plain,
% 0.40/0.61 ((select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)) <=> (e_883 = e_882)),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1330, 1320])).
% 0.40/0.61 tff(1332,plain,
% 0.40/0.61 ((select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)) <=> (e_882 = e_883)),
% 0.40/0.61 inference(transitivity,[status(thm)],[1331, 177])).
% 0.40/0.61 tff(1333,plain,
% 0.40/0.61 ((e_882 = e_883) <=> (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.61 inference(symmetry,[status(thm)],[1332])).
% 0.40/0.61 tff(1334,plain,
% 0.40/0.61 ((~(e_882 = e_883)) <=> (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))),
% 0.40/0.61 inference(monotonicity,[status(thm)],[1333])).
% 0.40/0.61 tff(1335,plain,
% 0.40/0.61 (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))),
% 0.40/0.61 inference(modus_ponens,[status(thm)],[468, 1334])).
% 0.40/0.61 tff(1336,plain,
% 0.40/0.61 ($false),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[777, 55, 1294, 1335])).
% 0.40/0.61 tff(1337,plain,((i1 = i2) | (~(i5 = i1))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.61 tff(1338,plain,
% 0.40/0.61 (~(i5 = i1)),
% 0.40/0.61 inference(unit_resolution,[status(thm)],[1337, 169])).
% 0.40/0.61 tff(1339,assumption,(~(i2 = i5)), introduced(assumption)).
% 0.40/0.61 tff(1340,assumption,(~(i5 = sk(a_859, a_880))), introduced(assumption)).
% 0.40/0.61 tff(1341,plain,
% 0.40/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1342,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1343,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 0.40/0.62 tff(1344,plain,
% 0.40/0.62 ((i5 = sk(a_859, a_880)) | (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1343, 55])).
% 0.40/0.62 tff(1345,plain,
% 0.40/0.62 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1344, 1340])).
% 0.40/0.62 tff(1346,plain,
% 0.40/0.62 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1345])).
% 0.40/0.62 tff(1347,plain,
% 0.40/0.62 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[1283])).
% 0.40/0.62 tff(1348,plain,
% 0.40/0.62 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1347])).
% 0.40/0.62 tff(1349,plain,
% 0.40/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1350,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1351,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 0.40/0.62 tff(1352,plain,
% 0.40/0.62 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1351, 55, 1340])).
% 0.40/0.62 tff(1353,plain,
% 0.40/0.62 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1352])).
% 0.40/0.62 tff(1354,plain,
% 0.40/0.62 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[489])).
% 0.40/0.62 tff(1355,plain,
% 0.40/0.62 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1354])).
% 0.40/0.62 tff(1356,plain,
% 0.40/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1357,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1358,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 0.40/0.62 tff(1359,plain,
% 0.40/0.62 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1358, 55, 170])).
% 0.40/0.62 tff(1360,plain,
% 0.40/0.62 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1359])).
% 0.40/0.62 tff(1361,plain,
% 0.40/0.62 (store(store(a_867, i2, e_868), i1, select(a_869, i1)) = store(a_869, i1, e_870)),
% 0.40/0.62 inference(monotonicity,[status(thm)],[282, 268])).
% 0.40/0.62 tff(1362,plain,
% 0.40/0.62 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_869, i1))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1361])).
% 0.40/0.62 tff(1363,plain,
% 0.40/0.62 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[1362])).
% 0.40/0.62 tff(1364,plain,
% 0.40/0.62 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1363])).
% 0.40/0.62 tff(1365,plain,
% 0.40/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1366,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1367,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 0.40/0.62 tff(1368,plain,
% 0.40/0.62 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1367, 55, 170])).
% 0.40/0.62 tff(1369,plain,
% 0.40/0.62 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1368])).
% 0.40/0.62 tff(1370,plain,
% 0.40/0.62 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_861, i0))),
% 0.40/0.62 inference(symmetry,[status(thm)],[141])).
% 0.40/0.62 tff(1371,plain,
% 0.40/0.62 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[1370])).
% 0.40/0.62 tff(1372,plain,
% 0.40/0.62 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1371])).
% 0.40/0.62 tff(1373,plain,
% 0.40/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1374,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1375,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1374, 1373])).
% 0.40/0.62 tff(1376,plain,
% 0.40/0.62 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1375, 55, 49])).
% 0.40/0.62 tff(1377,plain,
% 0.40/0.62 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1376])).
% 0.40/0.62 tff(1378,plain,
% 0.40/0.62 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[801])).
% 0.40/0.62 tff(1379,plain,
% 0.40/0.62 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1378])).
% 0.40/0.62 tff(1380,plain,
% 0.40/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.40/0.62 inference(rewrite,[status(thm)],[])).
% 0.40/0.62 tff(1381,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.40/0.62 inference(quant_inst,[status(thm)],[])).
% 0.40/0.62 tff(1382,plain,
% 0.40/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 0.40/0.62 tff(1383,plain,
% 0.40/0.62 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1382, 55, 1340])).
% 0.40/0.62 tff(1384,plain,
% 0.40/0.62 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1383])).
% 0.40/0.62 tff(1385,plain,
% 0.40/0.62 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880))),
% 0.40/0.62 inference(monotonicity,[status(thm)],[95])).
% 0.40/0.62 tff(1386,plain,
% 0.40/0.62 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1385])).
% 0.40/0.62 tff(1387,assumption,(~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))), introduced(assumption)).
% 0.40/0.62 tff(1388,plain,
% 0.40/0.62 ($false),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[777, 55, 81, 1387])).
% 0.40/0.62 tff(1389,plain,((select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.62 tff(1390,plain,
% 0.40/0.62 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1389, 81])).
% 0.40/0.62 tff(1391,plain,
% 0.40/0.62 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0)),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[773, 81])).
% 0.40/0.62 tff(1392,assumption,(~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))), introduced(assumption)).
% 0.40/0.62 tff(1393,plain,
% 0.40/0.62 (i2 = sk(a_859, a_880)),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[235, 1392])).
% 0.40/0.62 tff(1394,assumption,(i5 = i2), introduced(assumption)).
% 0.40/0.62 tff(1395,plain,
% 0.40/0.62 (i2 = i5),
% 0.40/0.62 inference(symmetry,[status(thm)],[1394])).
% 0.40/0.62 tff(1396,plain,
% 0.40/0.62 (sk(a_859, a_880) = i5),
% 0.40/0.62 inference(transitivity,[status(thm)],[1273, 1395])).
% 0.40/0.62 tff(1397,plain,
% 0.40/0.62 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.40/0.62 inference(monotonicity,[status(thm)],[447, 1396])).
% 0.40/0.62 tff(1398,plain,
% 0.40/0.62 (select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.40/0.62 inference(symmetry,[status(thm)],[1397])).
% 0.40/0.62 tff(1399,plain,
% 0.40/0.62 (select(a_855, i2) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.40/0.62 inference(symmetry,[status(thm)],[440])).
% 0.40/0.62 tff(1400,plain,
% 0.40/0.62 (select(a_855, i5) = select(a_855, i2)),
% 0.40/0.62 inference(monotonicity,[status(thm)],[1394])).
% 0.40/0.62 tff(1401,plain,
% 0.40/0.62 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.40/0.62 inference(transitivity,[status(thm)],[764, 1290, 1250, 1400, 1399, 1398])).
% 0.40/0.62 tff(1402,plain,
% 0.40/0.62 ($false),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1392, 1401])).
% 0.40/0.62 tff(1403,plain,((~(i5 = i2)) | (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.62 tff(1404,plain,
% 0.40/0.62 (~(i5 = i2)),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1403, 1392, 1393])).
% 0.40/0.62 tff(1405,assumption,(i2 = i5), introduced(assumption)).
% 0.40/0.62 tff(1406,plain,
% 0.40/0.62 (i5 = i2),
% 0.40/0.62 inference(modus_ponens,[status(thm)],[1405, 199])).
% 0.40/0.62 tff(1407,assumption,(~(i5 = i2)), introduced(assumption)).
% 0.40/0.62 tff(1408,plain,
% 0.40/0.62 ($false),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1407, 1406])).
% 0.40/0.62 tff(1409,plain,((~(i2 = i5)) | (i5 = i2)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.62 tff(1410,plain,
% 0.40/0.62 (~(i2 = i5)),
% 0.40/0.62 inference(unit_resolution,[status(thm)],[1409, 1404])).
% 0.40/0.62 tff(1411,plain,
% 0.40/0.62 (e_883 = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.40/0.62 inference(transitivity,[status(thm)],[28, 1275, 25, 1278])).
% 0.40/0.62 tff(1412,plain,
% 0.40/0.62 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.40/0.62 inference(monotonicity,[status(thm)],[490, 184])).
% 0.40/0.62 tff(1413,plain,
% 0.40/0.62 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_872, i2)),
% 0.40/0.62 inference(symmetry,[status(thm)],[1412])).
% 0.40/0.63 tff(1414,plain,
% 0.40/0.63 (i1 = i2),
% 0.40/0.63 inference(symmetry,[status(thm)],[184])).
% 0.40/0.63 tff(1415,plain,
% 0.40/0.63 (select(a_869, i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[798, 1414])).
% 0.40/0.63 tff(1416,plain,
% 0.40/0.63 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(a_869, i1)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1415])).
% 0.40/0.63 tff(1417,plain,
% 0.40/0.63 (select(a_836, i2) = select(a_836, i1)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[184])).
% 0.40/0.63 tff(1418,plain,
% 0.40/0.63 (select(a_836, i1) = select(a_836, i2)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1417])).
% 0.40/0.63 tff(1419,plain,
% 0.40/0.63 (e_837 = e_839),
% 0.40/0.63 inference(transitivity,[status(thm)],[305, 1418, 151])).
% 0.40/0.63 tff(1420,plain,
% 0.40/0.63 (e_839 = e_837),
% 0.40/0.63 inference(transitivity,[status(thm)],[150, 1417, 306])).
% 0.40/0.63 tff(1421,plain,
% 0.40/0.63 (store(a_836, i1, e_839) = store(a_836, i2, e_837)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1414, 1420])).
% 0.40/0.63 tff(1422,plain,
% 0.40/0.63 (a_860 = a_838),
% 0.40/0.63 inference(transitivity,[status(thm)],[309, 1421, 334])).
% 0.40/0.63 tff(1423,plain,
% 0.40/0.63 (store(a_860, i2, e_837) = store(a_838, i1, e_839)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1422, 184, 1419])).
% 0.40/0.63 tff(1424,plain,
% 0.40/0.63 (a_861 = a_840),
% 0.40/0.63 inference(transitivity,[status(thm)],[108, 1423, 147])).
% 0.40/0.63 tff(1425,plain,
% 0.40/0.63 (select(a_861, i0) = select(a_840, i0)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1424])).
% 0.40/0.63 tff(1426,plain,
% 0.40/0.63 (select(a_840, i0) = select(a_861, i0)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1425])).
% 0.40/0.63 tff(1427,plain,
% 0.40/0.63 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5) = select(a_844, i5)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[824])).
% 0.40/0.63 tff(1428,plain,
% 0.40/0.63 (select(a_844, i5) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i5)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1427])).
% 0.40/0.63 tff(1429,plain,
% 0.40/0.63 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), i1)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[728, 184])).
% 0.40/0.63 tff(1430,plain,
% 0.40/0.63 (select(store(a_844, i2, e_845), i1) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1429])).
% 0.40/0.63 tff(1431,assumption,(~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1))), introduced(assumption)).
% 0.40/0.63 tff(1432,plain,
% 0.40/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(1433,plain,
% 0.40/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1)))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(1434,plain,
% 0.40/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 0.40/0.63 tff(1435,plain,
% 0.40/0.63 ((i5 = i1) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1))),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1434, 55])).
% 0.40/0.63 tff(1436,plain,
% 0.40/0.63 (i5 = i1),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1435, 1431])).
% 0.40/0.63 tff(1437,plain,
% 0.40/0.63 (i1 = i2),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1337, 1436])).
% 0.40/0.63 tff(1438,plain,
% 0.40/0.63 (select(store(a_844, i2, e_845), i1) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[729, 1437])).
% 0.40/0.63 tff(1439,plain,
% 0.40/0.63 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), i1)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1438])).
% 0.40/0.63 tff(1440,plain,
% 0.40/0.63 (i5 = i2),
% 0.40/0.63 inference(transitivity,[status(thm)],[1436, 1437])).
% 0.40/0.63 tff(1441,plain,
% 0.40/0.63 (select(a_844, i5) = select(a_844, i2)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1440])).
% 0.40/0.63 tff(1442,plain,
% 0.40/0.63 (select(a_844, i2) = select(a_844, i5)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1441])).
% 0.40/0.63 tff(1443,plain,
% 0.40/0.63 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(a_848, i1)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[827, 1436])).
% 0.40/0.63 tff(1444,plain,
% 0.40/0.63 (select(a_848, i1) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1443])).
% 0.40/0.63 tff(1445,plain,
% 0.40/0.63 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(a_848, i1)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[827])).
% 0.40/0.63 tff(1446,plain,
% 0.40/0.63 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1)),
% 0.40/0.63 inference(transitivity,[status(thm)],[1445, 1444, 389, 1442, 734, 1439])).
% 0.40/0.63 tff(1447,plain,
% 0.40/0.63 ($false),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1431, 1446])).
% 0.40/0.63 tff(1448,plain,(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1) = select(store(a_844, i2, e_845), i1)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.63 tff(1449,plain,
% 0.40/0.63 (select(a_848, i1) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1445])).
% 0.40/0.63 tff(1450,plain,
% 0.40/0.63 (select(a_851, i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[420, 184])).
% 0.40/0.63 tff(1451,plain,
% 0.40/0.63 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1257, 1339])).
% 0.40/0.63 tff(1452,plain,
% 0.40/0.63 (e_882 = select(store(a_872, i5, e_873), i5)),
% 0.40/0.63 inference(transitivity,[status(thm)],[180, 1290, 1250, 1252, 1451, 1262, 1265, 1450, 406, 1449, 1448, 1430, 733, 1428, 651, 1426, 116, 113, 135, 101, 515, 1416, 278, 1413, 1288, 1285])).
% 0.40/0.63 tff(1453,plain,
% 0.40/0.63 ((e_882 = e_883) <=> (select(store(a_872, i5, e_873), i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5))),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1452, 1411])).
% 0.40/0.63 tff(1454,plain,
% 0.40/0.63 ((e_882 = e_883) <=> (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))),
% 0.40/0.63 inference(transitivity,[status(thm)],[1453, 1])).
% 0.40/0.63 tff(1455,plain,
% 0.40/0.63 ((select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)) <=> (e_882 = e_883)),
% 0.40/0.63 inference(symmetry,[status(thm)],[1454])).
% 0.40/0.63 tff(1456,plain,
% 0.40/0.63 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1270, 1339])).
% 0.40/0.63 tff(1457,plain,
% 0.40/0.63 (e_882 = e_883),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 0.40/0.63 tff(1458,plain,
% 0.40/0.63 ($false),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[468, 1457])).
% 0.40/0.63 tff(1459,plain,((i2 = i5) | (~(i2 = sk(a_859, a_880))) | (~(i2 = i1))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.63 tff(1460,plain,
% 0.40/0.63 (~(i2 = i1)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1459, 1410, 1393])).
% 0.40/0.63 tff(1461,plain,
% 0.40/0.63 (sk(a_859, a_880) = i2),
% 0.40/0.63 inference(symmetry,[status(thm)],[1393])).
% 0.40/0.63 tff(1462,plain,
% 0.40/0.63 ((i5 = sk(a_859, a_880)) <=> (i5 = i2)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1461])).
% 0.40/0.63 tff(1463,plain,
% 0.40/0.63 ((i5 = i2) <=> (i5 = sk(a_859, a_880))),
% 0.40/0.63 inference(symmetry,[status(thm)],[1462])).
% 0.40/0.63 tff(1464,plain,
% 0.40/0.63 ((~(i5 = i2)) <=> (~(i5 = sk(a_859, a_880)))),
% 0.40/0.63 inference(monotonicity,[status(thm)],[1463])).
% 0.40/0.63 tff(1465,plain,
% 0.40/0.63 (~(i5 = sk(a_859, a_880))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[1404, 1464])).
% 0.40/0.63 tff(1466,plain,
% 0.40/0.63 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[1257, 1410])).
% 0.40/0.63 tff(1467,plain,
% 0.40/0.63 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1270, 1410])).
% 0.47/0.63 tff(1468,plain,
% 0.47/0.63 ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1367, 55])).
% 0.47/0.63 tff(1469,plain,
% 0.47/0.63 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1468, 170])).
% 0.47/0.63 tff(1470,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1471,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1472,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 0.47/0.63 tff(1473,plain,
% 0.47/0.63 ((i1 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1472, 55])).
% 0.47/0.63 tff(1474,plain,
% 0.47/0.63 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1473, 170])).
% 0.47/0.63 tff(1475,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1476,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1477,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 0.47/0.63 tff(1478,plain,
% 0.47/0.63 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1477, 55, 1340])).
% 0.47/0.63 tff(1479,assumption,(~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2))), introduced(assumption)).
% 0.47/0.63 tff(1480,plain,
% 0.47/0.63 (i1 = i2),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[496, 1479])).
% 0.47/0.63 tff(1481,plain,
% 0.47/0.63 (i2 = i1),
% 0.47/0.63 inference(symmetry,[status(thm)],[1480])).
% 0.47/0.63 tff(1482,plain,
% 0.47/0.63 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1362, 1481])).
% 0.47/0.63 tff(1483,plain,
% 0.47/0.63 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1) = select(store(a_869, i1, e_870), i2)),
% 0.47/0.63 inference(symmetry,[status(thm)],[1482])).
% 0.47/0.63 tff(1484,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1) = select(a_869, i1))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1485,plain,
% 0.47/0.63 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1) = select(a_869, i1)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1484, 23])).
% 0.47/0.63 tff(1486,plain,
% 0.47/0.63 (select(a_869, i1) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1)),
% 0.47/0.63 inference(symmetry,[status(thm)],[1485])).
% 0.47/0.63 tff(1487,plain,
% 0.47/0.63 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[490, 1481])).
% 0.47/0.63 tff(1488,plain,
% 0.47/0.63 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.47/0.63 inference(transitivity,[status(thm)],[877, 1487, 277, 1486, 1483])).
% 0.47/0.63 tff(1489,plain,
% 0.47/0.63 ($false),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1479, 1488])).
% 0.47/0.63 tff(1490,plain,(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.63 tff(1491,plain,
% 0.47/0.63 (select(store(a_869, i1, e_870), i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i2)),
% 0.47/0.63 inference(symmetry,[status(thm)],[1490])).
% 0.47/0.63 tff(1492,plain,
% 0.47/0.63 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(a_869, i1, e_870), i2)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1273])).
% 0.47/0.63 tff(1493,plain,
% 0.47/0.63 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1361])).
% 0.47/0.63 tff(1494,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.63 tff(1495,plain,
% 0.47/0.63 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1494])).
% 0.47/0.63 tff(1496,plain,
% 0.47/0.63 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[283, 1272])).
% 0.47/0.63 tff(1497,plain,
% 0.47/0.63 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[729, 1273])).
% 0.47/0.63 tff(1498,assumption,(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.63 tff(1499,plain,
% 0.47/0.63 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[399])).
% 0.47/0.63 tff(1500,assumption,(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.63 tff(1501,plain,
% 0.47/0.63 (store(store(a_846, i5, e_847), i1, select(a_848, i1)) = store(a_848, i1, e_849)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[681, 410])).
% 0.47/0.63 tff(1502,plain,
% 0.47/0.63 (store(a_848, i1, e_849) = store(store(a_846, i5, e_847), i1, select(a_848, i1))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1501])).
% 0.47/0.63 tff(1503,plain,
% 0.47/0.63 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1502])).
% 0.47/0.63 tff(1504,plain,
% 0.47/0.63 (select(store(a_848, i1, e_849), i2) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1272])).
% 0.47/0.63 tff(1505,assumption,(~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2))), introduced(assumption)).
% 0.47/0.63 tff(1506,plain,
% 0.47/0.63 (i1 = i2),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[705, 1505])).
% 0.47/0.63 tff(1507,plain,
% 0.47/0.63 (i2 = i1),
% 0.47/0.63 inference(symmetry,[status(thm)],[1506])).
% 0.47/0.63 tff(1508,plain,
% 0.47/0.63 (select(store(a_848, i1, e_849), i2) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1502, 1507])).
% 0.47/0.63 tff(1509,plain,
% 0.47/0.63 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1) = select(store(a_848, i1, e_849), i2)),
% 0.47/0.63 inference(symmetry,[status(thm)],[1508])).
% 0.47/0.63 tff(1510,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1) = select(a_848, i1))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1511,plain,
% 0.47/0.63 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1) = select(a_848, i1)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1510, 23])).
% 0.47/0.63 tff(1512,plain,
% 0.47/0.63 (select(a_848, i1) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.47/0.64 inference(symmetry,[status(thm)],[1511])).
% 0.47/0.64 tff(1513,plain,
% 0.47/0.64 (select(a_851, i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[420, 1507])).
% 0.47/0.64 tff(1514,plain,
% 0.47/0.64 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(a_851, i2)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[830])).
% 0.47/0.64 tff(1515,plain,
% 0.47/0.64 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)),
% 0.47/0.64 inference(transitivity,[status(thm)],[1514, 1513, 406, 1512, 1509])).
% 0.47/0.64 tff(1516,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1505, 1515])).
% 0.47/0.64 tff(1517,plain,(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2) = select(store(a_848, i1, e_849), i2)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1518,plain,
% 0.47/0.64 (e_882 = e_883),
% 0.47/0.64 inference(transitivity,[status(thm)],[180, 1290, 1250, 1252, 1289, 1262, 1265, 700, 1517, 1504, 1503, 1500, 1499, 1498, 1497, 733, 648, 651, 971, 812, 974, 349, 347, 923, 116, 909, 135, 131, 515, 1496, 1495, 1493, 1492, 1491, 877, 1288, 1285, 1281, 1279, 1277, 1276, 29])).
% 0.47/0.64 tff(1519,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[468, 1518])).
% 0.47/0.64 tff(1520,plain,((~(i0 = i2)) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1521,plain,
% 0.47/0.64 (~(i0 = i2)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1520, 1478, 1272, 1474, 812, 1469, 1280, 1289])).
% 0.47/0.64 tff(1522,plain,
% 0.47/0.64 (~(i2 = i0)),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1521, 1082])).
% 0.47/0.64 tff(1523,assumption,(~(i2 = i0)), introduced(assumption)).
% 0.47/0.64 tff(1524,plain,
% 0.47/0.64 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1087, 1523])).
% 0.47/0.64 tff(1525,plain,
% 0.47/0.64 (select(store(a_836, i1, e_839), i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.47/0.64 inference(symmetry,[status(thm)],[1524])).
% 0.47/0.64 tff(1526,plain,
% 0.47/0.64 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0) = select(store(a_834, i3, e_835), i0)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1097, 1523])).
% 0.47/0.64 tff(1527,plain,
% 0.47/0.64 (select(store(a_836, i2, e_837), i0) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i0)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[351])).
% 0.47/0.64 tff(1528,plain,
% 0.47/0.64 (e_882 = e_883),
% 0.47/0.64 inference(transitivity,[status(thm)],[180, 1290, 1250, 1252, 1289, 1262, 1265, 700, 1517, 1504, 1503, 1500, 1499, 1498, 1497, 733, 648, 651, 971, 812, 1527, 1526, 1093, 1329, 1525, 1325, 116, 909, 135, 131, 515, 1496, 1495, 1493, 1492, 1491, 877, 1288, 1285, 1281, 1279, 1277, 1276, 29])).
% 0.47/0.64 tff(1529,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[468, 1528])).
% 0.47/0.64 tff(1530,plain,((i2 = i0) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1531,plain,
% 0.47/0.64 (i2 = i0),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1530, 1474, 1289, 1478, 812, 1092, 1469, 1280, 1272])).
% 0.47/0.64 tff(1532,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1531, 1522])).
% 0.47/0.64 tff(1533,plain,((i1 = sk(a_859, a_880)) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))) | (~(i2 = sk(a_859, a_880))) | (i5 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1534,plain,
% 0.47/0.64 (i1 = sk(a_859, a_880)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1533, 1467, 812, 1092, 1466, 1393, 1465])).
% 0.47/0.64 tff(1535,plain,
% 0.47/0.64 ((i1 = sk(a_859, a_880)) <=> (i1 = i2)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1273])).
% 0.47/0.64 tff(1536,plain,
% 0.47/0.64 ((i1 = sk(a_859, a_880)) <=> (i2 = i1)),
% 0.47/0.64 inference(transitivity,[status(thm)],[1535, 79])).
% 0.47/0.64 tff(1537,plain,
% 0.47/0.64 (i2 = i1),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[251, 1536])).
% 0.47/0.64 tff(1538,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[153, 1537])).
% 0.47/0.64 tff(1539,plain,((~(i1 = sk(a_859, a_880))) | (i2 = i1) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1540,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1539, 1534, 1460, 1393])).
% 0.47/0.64 tff(1541,plain,((select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1542,plain,
% 0.47/0.64 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1541, 1391, 1390])).
% 0.47/0.64 tff(1543,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1544,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1545,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 0.47/0.64 tff(1546,plain,
% 0.47/0.64 ((i5 = sk(a_859, a_880)) | (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1545, 55])).
% 0.47/0.64 tff(1547,plain,
% 0.47/0.64 (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1546, 1340])).
% 0.47/0.64 tff(1548,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1549,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1550,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 0.47/0.64 tff(1551,plain,
% 0.47/0.64 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1550, 55, 1340])).
% 0.47/0.64 tff(1552,plain,
% 0.47/0.64 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1472, 55, 170])).
% 0.47/0.64 tff(1553,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1554,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1555,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 0.47/0.64 tff(1556,plain,
% 0.47/0.64 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1555, 55, 1340])).
% 0.47/0.64 tff(1557,assumption,(~(i5 = i1)), introduced(assumption)).
% 0.47/0.64 tff(1558,plain,
% 0.47/0.64 ((i1 = i5) <=> (i5 = i1)),
% 0.47/0.64 inference(symmetry,[status(thm)],[152])).
% 0.47/0.64 tff(1559,assumption,(i1 = i5), introduced(assumption)).
% 0.47/0.64 tff(1560,plain,
% 0.47/0.64 (i5 = i1),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 0.47/0.64 tff(1561,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1557, 1560])).
% 0.47/0.64 tff(1562,plain,((~(i1 = i5)) | (i5 = i1)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(1563,plain,
% 0.47/0.64 (~(i1 = i5)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1562, 1557])).
% 0.47/0.64 tff(1564,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1565,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1566,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 0.47/0.64 tff(1567,plain,
% 0.47/0.64 ((i1 = i5) | (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1566, 55])).
% 0.47/0.64 tff(1568,plain,
% 0.47/0.64 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1567, 1563])).
% 0.47/0.64 tff(1569,plain,
% 0.47/0.64 (((~![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_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), 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_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1570,plain,
% 0.47/0.64 ((~![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_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1571,plain,
% 0.47/0.64 ((~![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_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 0.47/0.64 tff(1572,plain,
% 0.47/0.64 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1571, 55, 1339])).
% 0.47/0.64 tff(1573,plain,
% 0.47/0.64 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[209, 1339])).
% 0.47/0.64 tff(1574,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(1575,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(1576,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 0.47/0.65 tff(1577,plain,
% 0.47/0.65 ((i1 = i5) | (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1576, 55])).
% 0.47/0.65 tff(1578,plain,
% 0.47/0.65 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1577, 1563])).
% 0.47/0.65 tff(1579,assumption,(select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1580,plain,
% 0.47/0.65 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1579])).
% 0.47/0.65 tff(1581,assumption,(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1582,plain,
% 0.47/0.65 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1581])).
% 0.47/0.65 tff(1583,assumption,(select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1584,plain,
% 0.47/0.65 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1583])).
% 0.47/0.65 tff(1585,assumption,(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1586,plain,
% 0.47/0.65 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1585])).
% 0.47/0.65 tff(1587,assumption,(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1588,plain,
% 0.47/0.65 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1587])).
% 0.47/0.65 tff(1589,assumption,(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1590,plain,
% 0.47/0.65 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1589])).
% 0.47/0.65 tff(1591,assumption,(i0 = sk(a_859, a_880)), introduced(assumption)).
% 0.47/0.65 tff(1592,plain,
% 0.47/0.65 (sk(a_859, a_880) = i0),
% 0.47/0.65 inference(symmetry,[status(thm)],[1591])).
% 0.47/0.65 tff(1593,plain,
% 0.47/0.65 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[95, 1592])).
% 0.47/0.65 tff(1594,plain,
% 0.47/0.65 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1593])).
% 0.47/0.65 tff(1595,plain,
% 0.47/0.65 (select(store(a_836, i1, e_839), i5) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[323])).
% 0.47/0.65 tff(1596,plain,
% 0.47/0.65 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_836, i1, e_839), i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1595])).
% 0.47/0.65 tff(1597,assumption,(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5)), introduced(assumption)).
% 0.47/0.65 tff(1598,plain,
% 0.47/0.65 (select(store(a_834, i3, e_835), i5) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1597])).
% 0.47/0.65 tff(1599,assumption,(select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5)), introduced(assumption)).
% 0.47/0.65 tff(1600,plain,
% 0.47/0.65 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_836, i2, e_837), i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[350])).
% 0.47/0.65 tff(1601,plain,
% 0.47/0.65 (select(store(a_836, i2, e_837), i5) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1600])).
% 0.47/0.65 tff(1602,assumption,(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)), introduced(assumption)).
% 0.47/0.65 tff(1603,plain,
% 0.47/0.65 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(a_840, i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[336])).
% 0.47/0.65 tff(1604,plain,
% 0.47/0.65 (select(a_840, i5) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1603])).
% 0.47/0.65 tff(1605,plain,
% 0.47/0.65 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[821, 1591])).
% 0.47/0.65 tff(1606,plain,
% 0.47/0.65 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1605])).
% 0.47/0.65 tff(1607,assumption,(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1608,plain,
% 0.47/0.65 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[381])).
% 0.47/0.65 tff(1609,plain,
% 0.47/0.65 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1608])).
% 0.47/0.65 tff(1610,assumption,(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1611,plain,
% 0.47/0.65 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[398])).
% 0.47/0.65 tff(1612,plain,
% 0.47/0.65 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1611])).
% 0.47/0.65 tff(1613,plain,
% 0.47/0.65 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1501])).
% 0.47/0.65 tff(1614,plain,
% 0.47/0.65 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1613])).
% 0.47/0.65 tff(1615,assumption,(~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))), introduced(assumption)).
% 0.47/0.65 tff(1616,plain,
% 0.47/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(1617,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(1618,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 0.47/0.65 tff(1619,plain,
% 0.47/0.65 ((i1 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1618, 55])).
% 0.47/0.65 tff(1620,plain,
% 0.47/0.65 (i1 = sk(a_859, a_880)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1619, 1615])).
% 0.47/0.65 tff(1621,plain,
% 0.47/0.65 (sk(a_859, a_880) = i1),
% 0.47/0.65 inference(symmetry,[status(thm)],[1620])).
% 0.47/0.65 tff(1622,plain,
% 0.47/0.65 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1502, 1621])).
% 0.47/0.65 tff(1623,plain,
% 0.47/0.65 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1622])).
% 0.47/0.65 tff(1624,plain,
% 0.47/0.65 (select(store(a_850, i1, e_849), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[416, 1621])).
% 0.47/0.65 tff(1625,plain,
% 0.47/0.65 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[415])).
% 0.47/0.65 tff(1626,plain,
% 0.47/0.65 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.47/0.65 inference(transitivity,[status(thm)],[1625, 1624, 406, 1512, 1623])).
% 0.47/0.65 tff(1627,plain,
% 0.47/0.65 ($false),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1615, 1626])).
% 0.47/0.65 tff(1628,plain,(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.65 tff(1629,plain,
% 0.47/0.65 (select(store(a_850, i1, e_849), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1625])).
% 0.47/0.65 tff(1630,assumption,(select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1631,plain,
% 0.47/0.65 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1260])).
% 0.47/0.65 tff(1632,plain,
% 0.47/0.65 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1631])).
% 0.47/0.65 tff(1633,assumption,(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1634,assumption,(select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))), introduced(assumption)).
% 0.47/0.65 tff(1635,plain,
% 0.47/0.65 (store(store(a_853, i2, e_854), i5, select(a_851, i5)) = store(a_855, i5, e_856)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[445, 757])).
% 0.47/0.65 tff(1636,plain,
% 0.47/0.65 (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1635])).
% 0.47/0.65 tff(1637,plain,
% 0.47/0.65 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1636])).
% 0.47/0.65 tff(1638,plain,
% 0.47/0.65 (e_882 = e_883),
% 0.47/0.65 inference(transitivity,[status(thm)],[180, 765, 449, 1637, 1634, 1033, 1633, 1632, 1630, 1629, 1628, 1614, 1500, 1612, 1498, 657, 1610, 1609, 1607, 1606, 820, 1604, 1602, 1601, 1599, 1598, 1596, 317, 315, 519, 1594, 1590, 1379, 1588, 1372, 1495, 1364, 1586, 1355, 1584, 1348, 1582, 479, 1580, 77, 250, 48, 29])).
% 0.47/0.65 tff(1639,plain,
% 0.47/0.65 ($false),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[468, 1638])).
% 0.47/0.65 tff(1640,plain,((~(i0 = sk(a_859, a_880))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))) | (~(select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))) | (~(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i5) = select(store(a_834, i3, e_835), i5))) | (~(select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))) | (~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))) | (~(select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.65 tff(1641,plain,
% 0.47/0.65 (~(i0 = sk(a_859, a_880))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1640, 1578, 1345, 483, 1352, 1359, 1368, 1376, 1383, 1573, 60, 1572, 1568, 1556, 643, 1478, 1552, 1551, 1031, 1547, 1542])).
% 0.47/0.65 tff(1642,plain,
% 0.47/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(1643,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1644,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 0.47/0.66 tff(1645,plain,
% 0.47/0.66 ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1644, 55])).
% 0.47/0.66 tff(1646,plain,
% 0.47/0.66 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1645, 1641])).
% 0.47/0.66 tff(1647,plain,
% 0.47/0.66 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1646])).
% 0.47/0.66 tff(1648,plain,
% 0.47/0.66 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[111])).
% 0.47/0.66 tff(1649,plain,
% 0.47/0.66 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1648])).
% 0.47/0.66 tff(1650,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1651,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1652,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880)))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 0.47/0.66 tff(1653,plain,
% 0.47/0.66 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1652, 55, 1340])).
% 0.47/0.66 tff(1654,plain,
% 0.47/0.66 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1653])).
% 0.47/0.66 tff(1655,plain,
% 0.47/0.66 (select(store(a_860, i2, e_837), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[312])).
% 0.47/0.66 tff(1656,plain,
% 0.47/0.66 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1655])).
% 0.47/0.66 tff(1657,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1658,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1659,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880)))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 0.47/0.66 tff(1660,plain,
% 0.47/0.66 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1659, 55, 49])).
% 0.47/0.66 tff(1661,plain,
% 0.47/0.66 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1660])).
% 0.47/0.66 tff(1662,plain,
% 0.47/0.66 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[335])).
% 0.47/0.66 tff(1663,plain,
% 0.47/0.66 (select(store(a_838, i1, e_839), i1) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1662])).
% 0.47/0.66 tff(1664,plain,
% 0.47/0.66 ((i1 = i0) <=> (i0 = i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[779])).
% 0.47/0.66 tff(1665,plain,
% 0.47/0.66 ((~(i1 = i0)) <=> (~(i0 = i1))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1664])).
% 0.47/0.66 tff(1666,plain,
% 0.47/0.66 (~(i0 = i1)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[81, 1665])).
% 0.47/0.66 tff(1667,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i1) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i1) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1668,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i1) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1669,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i1) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 0.47/0.66 tff(1670,plain,
% 0.47/0.66 ((i0 = i1) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1669, 55])).
% 0.47/0.66 tff(1671,plain,
% 0.47/0.66 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1670, 1666])).
% 0.47/0.66 tff(1672,plain,
% 0.47/0.66 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_840, i0, e_841), i1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[821])).
% 0.47/0.66 tff(1673,plain,
% 0.47/0.66 (select(store(a_840, i0, e_841), i1) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1672])).
% 0.47/0.66 tff(1674,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1675,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1676,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 0.47/0.66 tff(1677,plain,
% 0.47/0.66 ((i5 = i1) | (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1676, 55])).
% 0.47/0.66 tff(1678,plain,
% 0.47/0.66 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1677, 1557])).
% 0.47/0.66 tff(1679,plain,
% 0.47/0.66 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[381])).
% 0.47/0.66 tff(1680,plain,
% 0.47/0.66 (select(store(a_842, i5, e_843), i1) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1679])).
% 0.47/0.66 tff(1681,plain,
% 0.47/0.66 (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_844, i2, e_845), i1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[655])).
% 0.47/0.66 tff(1682,plain,
% 0.47/0.66 (select(store(a_844, i2, e_845), i1) = select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1681])).
% 0.47/0.66 tff(1683,plain,
% 0.47/0.66 (select(a_848, i1) = e_839),
% 0.47/0.66 inference(transitivity,[status(thm)],[1449, 1448, 1682, 168, 1680, 1678, 1673, 1671, 1663, 330, 151])).
% 0.47/0.66 tff(1684,plain,
% 0.47/0.66 (store(store(a_834, i3, e_835), i1, select(a_848, i1)) = store(a_836, i1, e_839)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[321, 1683])).
% 0.47/0.66 tff(1685,plain,
% 0.47/0.66 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i1, select(a_848, i1))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1684])).
% 0.47/0.66 tff(1686,plain,
% 0.47/0.66 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1685])).
% 0.47/0.66 tff(1687,plain,
% 0.47/0.66 (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1686])).
% 0.47/0.66 tff(1688,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1689,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1690,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 0.47/0.66 tff(1691,plain,
% 0.47/0.66 (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1690, 55, 170])).
% 0.47/0.67 tff(1692,plain,
% 0.47/0.67 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1691])).
% 0.47/0.67 tff(1693,plain,
% 0.47/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(1694,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1695,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 0.47/0.67 tff(1696,plain,
% 0.47/0.67 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1695, 55, 49])).
% 0.47/0.67 tff(1697,plain,
% 0.47/0.67 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[350])).
% 0.47/0.67 tff(1698,plain,
% 0.47/0.67 (select(store(a_836, i2, e_837), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1697])).
% 0.47/0.67 tff(1699,plain,
% 0.47/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(1700,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1701,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880)))),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 0.47/0.67 tff(1702,plain,
% 0.47/0.67 (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1701, 55, 170])).
% 0.47/0.67 tff(1703,plain,
% 0.47/0.67 (store(store(a_836, i2, e_837), i1, select(a_848, i1)) = store(a_838, i1, e_839)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[334, 1683])).
% 0.47/0.67 tff(1704,plain,
% 0.47/0.67 (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1703])).
% 0.47/0.67 tff(1705,plain,
% 0.47/0.67 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1704])).
% 0.47/0.67 tff(1706,plain,
% 0.51/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1707,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1708,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 0.51/0.67 tff(1709,plain,
% 0.51/0.67 ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1708, 55])).
% 0.51/0.67 tff(1710,plain,
% 0.51/0.67 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1709, 1641])).
% 0.51/0.67 tff(1711,plain,
% 0.51/0.67 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.51/0.67 inference(monotonicity,[status(thm)],[821])).
% 0.51/0.67 tff(1712,plain,
% 0.51/0.67 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880))),
% 0.51/0.67 inference(symmetry,[status(thm)],[1711])).
% 0.51/0.67 tff(1713,plain,
% 0.51/0.67 (e_882 = e_883),
% 0.51/0.67 inference(transitivity,[status(thm)],[180, 765, 1542, 1637, 1547, 1033, 1031, 1632, 1551, 1629, 1628, 1614, 1552, 1612, 1478, 657, 643, 1609, 1556, 1712, 1710, 1705, 1702, 1698, 1696, 1692, 1687, 1661, 1656, 1654, 1649, 1647, 1386, 1384, 1379, 1377, 1372, 1369, 1364, 1360, 1355, 1353, 1348, 484, 479, 1346, 77, 61, 48, 29])).
% 0.51/0.67 tff(1714,plain,
% 0.51/0.67 ($false),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[468, 1713])).
% 0.51/0.67 tff(1715,plain,((i5 = i1) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (i1 = sk(a_859, a_880)) | (i2 = sk(a_859, a_880)) | (i5 = sk(a_859, a_880)) | (i1 = i0) | (i2 = i5)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.67 tff(1716,plain,
% 0.51/0.67 (i5 = sk(a_859, a_880)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1715, 1339, 1338, 49, 168, 81, 170])).
% 0.51/0.67 tff(1717,plain,
% 0.51/0.67 (sk(a_859, a_880) = i5),
% 0.51/0.67 inference(symmetry,[status(thm)],[1716])).
% 0.51/0.67 tff(1718,plain,
% 0.51/0.67 (store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)) = store(a_861, i5, e_862)),
% 0.51/0.67 inference(monotonicity,[status(thm)],[109, 1717, 105])).
% 0.51/0.67 tff(1719,plain,
% 0.51/0.67 (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.51/0.67 inference(monotonicity,[status(thm)],[1718])).
% 0.51/0.67 tff(1720,plain,
% 0.51/0.67 (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2)),
% 0.51/0.67 inference(transitivity,[status(thm)],[1719, 176])).
% 0.51/0.67 tff(1721,plain,
% 0.51/0.67 ((select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)) <=> (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.67 inference(monotonicity,[status(thm)],[1720])).
% 0.51/0.67 tff(1722,plain,
% 0.51/0.67 ((select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)) <=> (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.67 inference(symmetry,[status(thm)],[1721])).
% 0.51/0.67 tff(1723,plain,
% 0.51/0.67 ((select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2)) <=> (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.67 inference(commutativity,[status(thm)],[])).
% 0.51/0.67 tff(1724,plain,
% 0.51/0.67 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1677, 1338])).
% 0.51/0.67 tff(1725,plain,
% 0.51/0.67 (~(i1 = i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1562, 1338])).
% 0.51/0.67 tff(1726,plain,
% 0.51/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1727,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1728,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 0.51/0.67 tff(1729,plain,
% 0.51/0.67 ((i1 = i5) | (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1728, 55])).
% 0.51/0.67 tff(1730,plain,
% 0.51/0.67 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1729, 1725])).
% 0.51/0.67 tff(1731,plain,
% 0.51/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1732,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1733,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 0.51/0.67 tff(1734,plain,
% 0.51/0.67 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1733, 55, 1725])).
% 0.51/0.67 tff(1735,plain,
% 0.51/0.67 (i2 = i5),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1394, 200])).
% 0.51/0.67 tff(1736,plain,
% 0.51/0.67 ($false),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1339, 1735])).
% 0.51/0.67 tff(1737,plain,((~(i5 = i2)) | (i2 = i5)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.67 tff(1738,plain,
% 0.51/0.67 (~(i5 = i2)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1737, 1339])).
% 0.51/0.67 tff(1739,plain,
% 0.51/0.67 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[242, 1738])).
% 0.51/0.67 tff(1740,plain,
% 0.51/0.67 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1567, 1725])).
% 0.51/0.67 tff(1741,plain,
% 0.51/0.67 ((i2 = i5) | (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5))),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1571, 55])).
% 0.51/0.67 tff(1742,plain,
% 0.51/0.67 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1741, 1339])).
% 0.51/0.67 tff(1743,plain,
% 0.51/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5)))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1744,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5)))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1745,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5))),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 0.51/0.67 tff(1746,plain,
% 0.51/0.67 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1745, 55, 1725])).
% 0.51/0.67 tff(1747,plain,
% 0.51/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1748,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1749,plain,
% 0.51/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))),
% 0.51/0.67 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 0.51/0.67 tff(1750,plain,
% 0.51/0.67 ((i1 = i5) | (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1749, 55])).
% 0.51/0.67 tff(1751,plain,
% 0.51/0.67 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.51/0.67 inference(unit_resolution,[status(thm)],[1750, 1725])).
% 0.51/0.67 tff(1752,plain,
% 0.51/0.67 (((~![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_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), 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_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5)))),
% 0.51/0.67 inference(rewrite,[status(thm)],[])).
% 0.51/0.67 tff(1753,plain,
% 0.51/0.67 ((~![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_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5)))),
% 0.51/0.67 inference(quant_inst,[status(thm)],[])).
% 0.51/0.67 tff(1754,plain,
% 0.51/0.67 ((~![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_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5))),
% 0.51/0.68 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 0.51/0.68 tff(1755,plain,
% 0.51/0.68 ((i2 = i5) | (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5))),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1754, 55])).
% 0.51/0.68 tff(1756,plain,
% 0.51/0.68 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5)),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1755, 1339])).
% 0.51/0.68 tff(1757,assumption,(i5 = sk(a_859, a_880)), introduced(assumption)).
% 0.51/0.68 tff(1758,plain,
% 0.51/0.68 (sk(a_859, a_880) = i5),
% 0.51/0.68 inference(symmetry,[status(thm)],[1757])).
% 0.51/0.68 tff(1759,plain,
% 0.51/0.68 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[255, 1758])).
% 0.51/0.68 tff(1760,plain,
% 0.51/0.68 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.51/0.68 inference(symmetry,[status(thm)],[1759])).
% 0.51/0.68 tff(1761,plain,
% 0.51/0.68 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[490])).
% 0.51/0.68 tff(1762,plain,
% 0.51/0.68 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(a_872, i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1761])).
% 0.51/0.68 tff(1763,assumption,(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)), introduced(assumption)).
% 0.51/0.68 tff(1764,plain,
% 0.51/0.68 (select(store(a_869, i1, e_870), i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1763])).
% 0.51/0.68 tff(1765,plain,
% 0.51/0.68 (select(store(a_869, i1, e_870), i5) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1362])).
% 0.51/0.68 tff(1766,plain,
% 0.51/0.68 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1765])).
% 0.51/0.68 tff(1767,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5)), introduced(assumption)).
% 0.51/0.68 tff(1768,plain,
% 0.51/0.68 (select(store(a_867, i2, e_868), i5) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1767])).
% 0.51/0.68 tff(1769,plain,
% 0.51/0.68 (select(store(a_867, i2, e_868), i5) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1370])).
% 0.51/0.68 tff(1770,plain,
% 0.51/0.68 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_867, i2, e_868), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1769])).
% 0.51/0.68 tff(1771,assumption,(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5)), introduced(assumption)).
% 0.51/0.68 tff(1772,plain,
% 0.51/0.68 (select(store(a_865, i5, e_866), i5) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1771])).
% 0.51/0.68 tff(1773,plain,
% 0.51/0.68 (select(store(a_865, i5, e_866), i5) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[801])).
% 0.51/0.68 tff(1774,plain,
% 0.51/0.68 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1773])).
% 0.51/0.68 tff(1775,assumption,(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)), introduced(assumption)).
% 0.51/0.68 tff(1776,assumption,(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)), introduced(assumption)).
% 0.51/0.68 tff(1777,plain,
% 0.51/0.68 (select(a_848, i1) = e_839),
% 0.51/0.68 inference(transitivity,[status(thm)],[1449, 1448, 1682, 168, 1680, 1776, 1673, 1775, 1663, 330, 151])).
% 0.51/0.68 tff(1778,plain,
% 0.51/0.68 (store(store(a_834, i3, e_835), i1, select(a_848, i1)) = store(a_836, i1, e_839)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[321, 1777])).
% 0.51/0.68 tff(1779,plain,
% 0.51/0.68 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i1, select(a_848, i1))),
% 0.51/0.68 inference(symmetry,[status(thm)],[1778])).
% 0.51/0.68 tff(1780,plain,
% 0.51/0.68 (select(store(a_836, i1, e_839), i5) = select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1779, 1757])).
% 0.51/0.68 tff(1781,plain,
% 0.51/0.68 (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1780])).
% 0.51/0.68 tff(1782,assumption,(select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))), introduced(assumption)).
% 0.51/0.68 tff(1783,plain,
% 0.51/0.68 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.68 inference(symmetry,[status(thm)],[1782])).
% 0.51/0.68 tff(1784,plain,
% 0.51/0.68 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(a_834, i3, e_835), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1758])).
% 0.51/0.68 tff(1785,plain,
% 0.51/0.68 (select(store(a_834, i3, e_835), i5) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.51/0.68 inference(symmetry,[status(thm)],[1784])).
% 0.51/0.68 tff(1786,plain,
% 0.51/0.68 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(store(a_846, i5, e_847), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[398])).
% 0.51/0.68 tff(1787,plain,
% 0.51/0.68 (select(store(a_846, i5, e_847), i5) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1786])).
% 0.51/0.68 tff(1788,assumption,(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)), introduced(assumption)).
% 0.51/0.68 tff(1789,plain,
% 0.51/0.68 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1501])).
% 0.51/0.68 tff(1790,plain,
% 0.51/0.68 (select(store(a_848, i1, e_849), i5) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1789])).
% 0.51/0.68 tff(1791,assumption,(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)), introduced(assumption)).
% 0.51/0.68 tff(1792,plain,
% 0.51/0.68 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(a_851, i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[830])).
% 0.51/0.68 tff(1793,plain,
% 0.51/0.68 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1792])).
% 0.51/0.68 tff(1794,plain,
% 0.51/0.68 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[447, 1758])).
% 0.51/0.68 tff(1795,plain,
% 0.51/0.68 (e_882 = e_883),
% 0.51/0.68 inference(transitivity,[status(thm)],[180, 464, 449, 1794, 440, 438, 423, 1793, 1791, 1790, 1788, 1787, 389, 826, 372, 823, 820, 1604, 1602, 1601, 1599, 1785, 1783, 1781, 317, 315, 519, 816, 296, 1774, 1772, 1770, 1768, 1766, 1764, 1762, 72, 69, 260, 1760, 250, 48, 29])).
% 0.51/0.68 tff(1796,plain,
% 0.51/0.68 ($false),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[468, 1795])).
% 0.51/0.68 tff(1797,plain,((~(i0 = i2)) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_867, i2, e_868), i5))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_865, i5, e_866), i5))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))) | (~(select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i5) = select(store(a_834, i3, e_835), i5))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (~(i5 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.68 tff(1798,plain,
% 0.51/0.68 (~(i0 = i2)),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1797, 1756, 60, 1751, 1746, 1542, 1573, 1691, 1742, 1740, 1739, 1734, 1730, 1671, 1724, 168, 1716])).
% 0.51/0.68 tff(1799,plain,
% 0.51/0.68 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[222, 1798])).
% 0.51/0.68 tff(1800,plain,
% 0.51/0.68 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[292])).
% 0.51/0.68 tff(1801,plain,
% 0.51/0.68 (select(store(a_865, i5, e_866), i5) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1800])).
% 0.51/0.68 tff(1802,plain,
% 0.51/0.68 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5) = select(store(a_867, i2, e_868), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[141])).
% 0.51/0.68 tff(1803,plain,
% 0.51/0.68 (select(store(a_867, i2, e_868), i5) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1802])).
% 0.51/0.68 tff(1804,plain,
% 0.51/0.68 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1361])).
% 0.51/0.68 tff(1805,plain,
% 0.51/0.68 (select(store(a_869, i1, e_870), i5) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1804])).
% 0.51/0.68 tff(1806,plain,
% 0.51/0.68 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(a_872, i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[274])).
% 0.51/0.68 tff(1807,plain,
% 0.51/0.68 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1806])).
% 0.51/0.68 tff(1808,plain,
% 0.51/0.68 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[255, 1717])).
% 0.51/0.68 tff(1809,plain,
% 0.51/0.68 (e_883 = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2)),
% 0.51/0.68 inference(transitivity,[status(thm)],[28, 47, 60, 1808, 259, 68, 71, 1807, 1751, 1805, 1746, 1803, 1756, 1801, 295, 592, 1799, 176])).
% 0.51/0.68 tff(1810,plain,
% 0.51/0.68 (((~![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_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_836, i2, e_837), 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_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(1811,plain,
% 0.51/0.68 ((~![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_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.51/0.68 inference(quant_inst,[status(thm)],[])).
% 0.51/0.68 tff(1812,plain,
% 0.51/0.68 ((~![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_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_836, i2, e_837), i2))),
% 0.51/0.68 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 0.51/0.68 tff(1813,plain,
% 0.51/0.68 (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1812, 55, 169])).
% 0.51/0.68 tff(1814,plain,
% 0.51/0.68 (select(a_848, i1) = e_839),
% 0.51/0.68 inference(transitivity,[status(thm)],[1449, 1448, 1682, 168, 1680, 1724, 1673, 1671, 1663, 330, 151])).
% 0.51/0.68 tff(1815,plain,
% 0.51/0.68 (store(store(a_836, i2, e_837), i1, select(a_848, i1)) = store(a_838, i1, e_839)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[334, 1814])).
% 0.51/0.68 tff(1816,plain,
% 0.51/0.68 (select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1815])).
% 0.51/0.68 tff(1817,plain,
% 0.51/0.68 (select(store(a_838, i1, e_839), i2) = select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), i2)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1816])).
% 0.51/0.68 tff(1818,plain,
% 0.51/0.68 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2)))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(1819,plain,
% 0.51/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2)))),
% 0.51/0.68 inference(quant_inst,[status(thm)],[])).
% 0.51/0.68 tff(1820,plain,
% 0.51/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2))),
% 0.51/0.68 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 0.51/0.68 tff(1821,plain,
% 0.51/0.68 ((i0 = i2) | (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2))),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1820, 55])).
% 0.51/0.68 tff(1822,plain,
% 0.51/0.68 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.51/0.68 inference(unit_resolution,[status(thm)],[1821, 1798])).
% 0.51/0.68 tff(1823,plain,
% 0.51/0.68 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[821])).
% 0.51/0.68 tff(1824,plain,
% 0.51/0.68 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2)),
% 0.51/0.68 inference(symmetry,[status(thm)],[1823])).
% 0.51/0.68 tff(1825,plain,
% 0.51/0.68 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.51/0.68 inference(monotonicity,[status(thm)],[447, 1717])).
% 0.51/0.68 tff(1826,plain,
% 0.51/0.68 (e_882 = select(store(a_860, i2, e_837), i2)),
% 0.51/0.68 inference(transitivity,[status(thm)],[180, 464, 1542, 1825, 440, 438, 423, 1793, 1730, 1790, 1734, 1787, 389, 826, 1739, 1824, 1822, 1817, 1813, 1062, 349, 347, 1060])).
% 0.51/0.68 tff(1827,plain,
% 0.51/0.68 ((e_882 = e_883) <=> (select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1826, 1809])).
% 0.51/0.68 tff(1828,plain,
% 0.51/0.68 ((e_882 = e_883) <=> (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.68 inference(transitivity,[status(thm)],[1827, 1723])).
% 0.51/0.68 tff(1829,plain,
% 0.51/0.68 ((e_882 = e_883) <=> (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.68 inference(transitivity,[status(thm)],[1828, 1722])).
% 0.51/0.68 tff(1830,plain,
% 0.51/0.68 ((~(e_882 = e_883)) <=> (~(select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[1829])).
% 0.51/0.68 tff(1831,plain,
% 0.51/0.68 (~(select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.68 inference(modus_ponens,[status(thm)],[468, 1830])).
% 0.51/0.69 tff(1832,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1833,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1834,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 0.51/0.69 tff(1835,plain,
% 0.51/0.69 ((sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_861, i0)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1834, 55])).
% 0.51/0.69 tff(1836,plain,
% 0.51/0.69 ($false),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1835, 1831, 174])).
% 0.51/0.69 tff(1837,plain,((i2 = i5) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (i2 = sk(a_859, a_880)) | (i1 = i2) | (i1 = sk(a_859, a_880)) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.69 tff(1838,plain,
% 0.51/0.69 (i2 = i5),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1837, 170, 49, 169, 168, 81])).
% 0.51/0.69 tff(1839,plain,
% 0.51/0.69 ((i2 = sk(a_859, a_880)) <=> (i5 = sk(a_859, a_880))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1838])).
% 0.51/0.69 tff(1840,plain,
% 0.51/0.69 ((~(i2 = sk(a_859, a_880))) <=> (~(i5 = sk(a_859, a_880)))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1839])).
% 0.51/0.69 tff(1841,plain,
% 0.51/0.69 (~(i5 = sk(a_859, a_880))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[49, 1840])).
% 0.51/0.69 tff(1842,plain,
% 0.51/0.69 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1344, 1841])).
% 0.51/0.69 tff(1843,plain,
% 0.51/0.69 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1842])).
% 0.51/0.69 tff(1844,plain,
% 0.51/0.69 (i5 = i2),
% 0.51/0.69 inference(symmetry,[status(thm)],[1838])).
% 0.51/0.69 tff(1845,plain,
% 0.51/0.69 (select(a_872, i5) = select(a_872, i2)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1844])).
% 0.51/0.69 tff(1846,plain,
% 0.51/0.69 (select(a_872, i2) = select(a_872, i5)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1845])).
% 0.51/0.69 tff(1847,plain,
% 0.51/0.69 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1362])).
% 0.51/0.69 tff(1848,plain,
% 0.51/0.69 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1847])).
% 0.51/0.69 tff(1849,plain,
% 0.51/0.69 (((~![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_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), 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_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1850,plain,
% 0.51/0.69 ((~![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_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1851,plain,
% 0.51/0.69 ((~![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_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 0.51/0.69 tff(1852,plain,
% 0.51/0.69 ((i1 = i2) | (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1851, 55])).
% 0.51/0.69 tff(1853,plain,
% 0.51/0.69 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1852, 169])).
% 0.51/0.69 tff(1854,plain,
% 0.51/0.69 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1853])).
% 0.51/0.69 tff(1855,plain,
% 0.51/0.69 (select(a_861, i0) = e_875),
% 0.51/0.69 inference(transitivity,[status(thm)],[116, 113, 135, 101, 515, 512, 1854, 1848, 1491, 492, 1846, 9])).
% 0.51/0.69 tff(1856,plain,
% 0.51/0.69 (store(store(a_872, i5, e_873), i5, select(a_861, i0)) = store(a_874, i2, e_875)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[13, 1844, 1855])).
% 0.51/0.69 tff(1857,plain,
% 0.51/0.69 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i5, select(a_861, i0))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1856])).
% 0.51/0.69 tff(1858,plain,
% 0.51/0.69 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1857])).
% 0.51/0.69 tff(1859,plain,
% 0.51/0.69 (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1858])).
% 0.51/0.69 tff(1860,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1861,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1862,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 0.51/0.69 tff(1863,plain,
% 0.51/0.69 (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1862, 55, 1841])).
% 0.51/0.69 tff(1864,plain,
% 0.51/0.69 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1863])).
% 0.51/0.69 tff(1865,plain,
% 0.51/0.69 (select(a_861, i0) = e_873),
% 0.51/0.69 inference(transitivity,[status(thm)],[116, 113, 135, 101, 515, 512, 1854, 1848, 1491, 492, 488])).
% 0.51/0.69 tff(1866,plain,
% 0.51/0.69 (store(store(a_871, i1, e_870), i5, select(a_861, i0)) = store(a_872, i5, e_873)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[264, 1865])).
% 0.51/0.69 tff(1867,plain,
% 0.51/0.69 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_861, i0))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1866])).
% 0.51/0.69 tff(1868,plain,
% 0.51/0.69 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1867])).
% 0.51/0.69 tff(1869,plain,
% 0.51/0.69 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1868])).
% 0.51/0.69 tff(1870,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1871,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1872,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 0.51/0.69 tff(1873,plain,
% 0.51/0.69 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1872, 55, 1841])).
% 0.51/0.69 tff(1874,plain,
% 0.51/0.69 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1873])).
% 0.51/0.69 tff(1875,assumption,(~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))), introduced(assumption)).
% 0.51/0.69 tff(1876,plain,
% 0.51/0.69 (i2 = i1),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[192, 1875])).
% 0.51/0.69 tff(1877,plain,
% 0.51/0.69 ((i2 = sk(a_859, a_880)) <=> (i1 = sk(a_859, a_880))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1876])).
% 0.51/0.69 tff(1878,plain,
% 0.51/0.69 ((i1 = sk(a_859, a_880)) <=> (i2 = sk(a_859, a_880))),
% 0.51/0.69 inference(symmetry,[status(thm)],[1877])).
% 0.51/0.69 tff(1879,plain,
% 0.51/0.69 ((i5 = i2) <=> (i5 = i1)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1876])).
% 0.51/0.69 tff(1880,plain,
% 0.51/0.69 ((i5 = i2) <=> (i1 = i5)),
% 0.51/0.69 inference(transitivity,[status(thm)],[1879, 152])).
% 0.51/0.69 tff(1881,plain,
% 0.51/0.69 ((i2 = i5) <=> (i1 = i5)),
% 0.51/0.69 inference(transitivity,[status(thm)],[199, 1880])).
% 0.51/0.69 tff(1882,plain,
% 0.51/0.69 ((~(i2 = i5)) <=> (~(i1 = i5))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1881])).
% 0.51/0.69 tff(1883,plain,
% 0.51/0.69 (i1 = i2),
% 0.51/0.69 inference(symmetry,[status(thm)],[1876])).
% 0.51/0.69 tff(1884,plain,
% 0.51/0.69 (i1 = i5),
% 0.51/0.69 inference(transitivity,[status(thm)],[1883, 1405])).
% 0.51/0.69 tff(1885,plain,
% 0.51/0.69 (select(store(a_865, i5, e_866), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[801, 1884])).
% 0.51/0.69 tff(1886,plain,
% 0.51/0.69 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), i1)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1885])).
% 0.51/0.69 tff(1887,plain,
% 0.51/0.69 (select(a_865, i2) = select(store(a_863, i0, e_864), i1)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[98, 1876])).
% 0.51/0.69 tff(1888,plain,
% 0.51/0.69 (select(store(a_863, i0, e_864), i1) = select(a_865, i2)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1887])).
% 0.51/0.69 tff(1889,plain,
% 0.51/0.69 (select(store(a_863, i0, e_864), i1) = select(a_865, i5)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[129, 1884])).
% 0.51/0.69 tff(1890,plain,
% 0.51/0.69 (select(a_865, i5) = select(store(a_863, i0, e_864), i1)),
% 0.51/0.69 inference(symmetry,[status(thm)],[1889])).
% 0.51/0.69 tff(1891,plain,
% 0.51/0.69 (select(a_869, i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.51/0.69 inference(monotonicity,[status(thm)],[798, 1883])).
% 0.51/0.69 tff(1892,plain,
% 0.51/0.69 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)),
% 0.51/0.69 inference(transitivity,[status(thm)],[285, 1891, 514, 1890, 1888, 296, 1886])).
% 0.51/0.69 tff(1893,plain,
% 0.51/0.69 ($false),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1875, 1892])).
% 0.51/0.69 tff(1894,plain,((~(i2 = i5)) | (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.69 tff(1895,plain,
% 0.51/0.69 (~(i2 = i5)),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1894, 1875])).
% 0.51/0.69 tff(1896,plain,
% 0.51/0.69 (~(i1 = i5)),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1895, 1882])).
% 0.51/0.69 tff(1897,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1898,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1899,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1898, 1897])).
% 0.51/0.69 tff(1900,plain,
% 0.51/0.69 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1899, 55, 1896])).
% 0.51/0.69 tff(1901,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1902,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)))),
% 0.51/0.69 inference(quant_inst,[status(thm)],[])).
% 0.51/0.69 tff(1903,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = i5) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 0.51/0.69 tff(1904,plain,
% 0.51/0.69 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1903, 55, 1896])).
% 0.51/0.69 tff(1905,plain,
% 0.51/0.69 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.51/0.69 inference(unit_resolution,[status(thm)],[1750, 1896])).
% 0.51/0.69 tff(1906,plain,
% 0.51/0.69 ((i2 = i5) <=> (i5 = i1)),
% 0.51/0.69 inference(transitivity,[status(thm)],[199, 1880, 1558])).
% 0.51/0.69 tff(1907,plain,
% 0.51/0.69 ((~(i2 = i5)) <=> (~(i5 = i1))),
% 0.51/0.69 inference(monotonicity,[status(thm)],[1906])).
% 0.51/0.69 tff(1908,plain,
% 0.51/0.69 (~(i5 = i1)),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[1895, 1907])).
% 0.51/0.69 tff(1909,plain,
% 0.51/0.69 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)))),
% 0.51/0.69 inference(rewrite,[status(thm)],[])).
% 0.51/0.69 tff(1910,plain,
% 0.51/0.69 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)))),
% 0.51/0.70 inference(quant_inst,[status(thm)],[])).
% 0.51/0.70 tff(1911,plain,
% 0.51/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1))),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 0.51/0.70 tff(1912,plain,
% 0.51/0.70 ((i5 = i1) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1911, 55])).
% 0.51/0.70 tff(1913,plain,
% 0.51/0.70 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1912, 1908])).
% 0.51/0.70 tff(1914,plain,
% 0.51/0.70 ((i1 = i0) <=> (i2 = i0)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1883])).
% 0.51/0.70 tff(1915,plain,
% 0.51/0.70 ((i1 = i0) <=> (i0 = i2)),
% 0.51/0.70 inference(transitivity,[status(thm)],[1914, 211])).
% 0.51/0.70 tff(1916,plain,
% 0.51/0.70 ((~(i1 = i0)) <=> (~(i0 = i2))),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1915])).
% 0.51/0.70 tff(1917,plain,
% 0.51/0.70 (~(i0 = i2)),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[81, 1916])).
% 0.51/0.70 tff(1918,plain,
% 0.51/0.70 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[222, 1917])).
% 0.51/0.70 tff(1919,plain,
% 0.51/0.70 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1669, 55, 1666])).
% 0.51/0.70 tff(1920,plain,
% 0.51/0.70 ((~(i2 = i5)) <=> (~(i5 = i2))),
% 0.51/0.70 inference(monotonicity,[status(thm)],[199])).
% 0.51/0.70 tff(1921,plain,
% 0.51/0.70 (~(i5 = i2)),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[1895, 1920])).
% 0.51/0.70 tff(1922,plain,
% 0.51/0.70 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[242, 1921])).
% 0.51/0.70 tff(1923,plain,
% 0.51/0.70 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1733, 55, 1896])).
% 0.51/0.70 tff(1924,plain,
% 0.51/0.70 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1729, 1896])).
% 0.51/0.70 tff(1925,plain,
% 0.51/0.70 (~(i2 = sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1459, 1895, 1876])).
% 0.51/0.70 tff(1926,plain,
% 0.51/0.70 (select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[235, 1925])).
% 0.51/0.70 tff(1927,plain,
% 0.51/0.70 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[59, 1925])).
% 0.51/0.70 tff(1928,assumption,(select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)), introduced(assumption)).
% 0.51/0.70 tff(1929,assumption,(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)), introduced(assumption)).
% 0.51/0.70 tff(1930,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)), introduced(assumption)).
% 0.51/0.70 tff(1931,plain,
% 0.51/0.70 (select(a_848, i1) = e_870),
% 0.51/0.70 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 1428, 651, 1426, 116, 113, 135, 101, 515, 1416, 268])).
% 0.51/0.70 tff(1932,plain,
% 0.51/0.70 (store(store(a_867, i2, e_868), i1, select(a_848, i1)) = store(a_869, i1, e_870)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[282, 1931])).
% 0.51/0.70 tff(1933,plain,
% 0.51/0.70 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_848, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1932])).
% 0.51/0.70 tff(1934,plain,
% 0.51/0.70 (select(store(a_869, i1, e_870), i5) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1933])).
% 0.51/0.70 tff(1935,plain,
% 0.51/0.70 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1934])).
% 0.51/0.70 tff(1936,plain,
% 0.51/0.70 (select(store(a_867, i2, e_868), i5) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1930])).
% 0.51/0.70 tff(1937,plain,
% 0.51/0.70 (select(a_848, i1) = e_868),
% 0.51/0.70 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 1428, 651, 1426, 116, 113, 135, 101, 85])).
% 0.51/0.70 tff(1938,plain,
% 0.51/0.70 (store(store(a_865, i5, e_866), i1, select(a_848, i1)) = store(a_867, i2, e_868)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[140, 1414, 1937])).
% 0.51/0.70 tff(1939,plain,
% 0.51/0.70 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i1, select(a_848, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1938])).
% 0.51/0.70 tff(1940,plain,
% 0.51/0.70 (select(store(a_867, i2, e_868), i5) = select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1939])).
% 0.51/0.70 tff(1941,plain,
% 0.51/0.70 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1940])).
% 0.51/0.70 tff(1942,plain,
% 0.51/0.70 (select(store(a_865, i5, e_866), i5) = select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1929])).
% 0.51/0.70 tff(1943,plain,
% 0.51/0.70 (select(a_848, i1) = e_862),
% 0.51/0.70 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 1428, 651, 1426, 105])).
% 0.51/0.70 tff(1944,plain,
% 0.51/0.70 (store(a_838, i1, e_839) = store(a_860, i2, e_837)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1423])).
% 0.51/0.70 tff(1945,plain,
% 0.51/0.70 (store(a_838, i1, e_839) = a_861),
% 0.51/0.70 inference(transitivity,[status(thm)],[1944, 109])).
% 0.51/0.70 tff(1946,plain,
% 0.51/0.70 (store(store(a_838, i1, e_839), i5, select(a_848, i1)) = store(a_861, i5, e_862)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1945, 1943])).
% 0.51/0.70 tff(1947,plain,
% 0.51/0.70 (store(a_861, i5, e_862) = store(store(a_838, i1, e_839), i5, select(a_848, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1946])).
% 0.51/0.70 tff(1948,plain,
% 0.51/0.70 (select(store(a_861, i5, e_862), i2) = select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1947, 184])).
% 0.51/0.70 tff(1949,plain,
% 0.51/0.70 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_861, i5, e_862), i2)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1948])).
% 0.51/0.70 tff(1950,plain,
% 0.51/0.70 (select(store(a_838, i1, e_839), i1) = select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1928])).
% 0.51/0.70 tff(1951,plain,
% 0.51/0.70 (store(a_840, i0, e_841) = store(store(a_838, i1, e_839), i0, select(a_840, i5))),
% 0.51/0.70 inference(symmetry,[status(thm)],[821])).
% 0.51/0.70 tff(1952,plain,
% 0.51/0.70 (select(store(a_840, i0, e_841), i1) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1951])).
% 0.51/0.70 tff(1953,plain,
% 0.51/0.70 (select(store(a_840, i0, e_841), i2) = select(store(a_840, i0, e_841), i1)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[184])).
% 0.51/0.70 tff(1954,plain,
% 0.51/0.70 (select(store(a_846, i5, e_847), i5) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[399])).
% 0.51/0.70 tff(1955,plain,
% 0.51/0.70 (select(store(a_848, i1, e_849), i5) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1502])).
% 0.51/0.70 tff(1956,plain,
% 0.51/0.70 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[420])).
% 0.51/0.70 tff(1957,plain,
% 0.51/0.70 (e_882 = e_883),
% 0.51/0.70 inference(transitivity,[status(thm)],[180, 464, 449, 1794, 440, 438, 423, 1956, 1791, 1955, 1788, 1954, 389, 387, 372, 1953, 1952, 1775, 1950, 1949, 299, 805, 296, 1774, 1942, 1941, 1936, 1935, 1764, 1762, 72, 69, 260, 1760, 250, 48, 29])).
% 0.51/0.70 tff(1958,plain,
% 0.51/0.70 ($false),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[468, 1957])).
% 0.51/0.70 tff(1959,plain,((~(i5 = sk(a_859, a_880))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5))) | (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))) | (~(select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1))) | (~(i2 = i1))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.70 tff(1960,plain,
% 0.51/0.70 (~(i5 = sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1959, 449, 1791, 1788, 372, 1775, 249, 1763, 1930, 1929, 298, 1928, 184])).
% 0.51/0.70 tff(1961,plain,
% 0.51/0.70 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1344, 1960])).
% 0.51/0.70 tff(1962,plain,
% 0.51/0.70 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1961])).
% 0.51/0.70 tff(1963,plain,
% 0.51/0.70 (select(store(a_838, i1, e_839), i1) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[363])).
% 0.51/0.70 tff(1964,plain,
% 0.51/0.70 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.51/0.70 inference(symmetry,[status(thm)],[1963])).
% 0.51/0.70 tff(1965,plain,
% 0.51/0.70 (select(a_836, i1) = e_875),
% 0.51/0.70 inference(transitivity,[status(thm)],[1418, 367, 1964, 1950, 1949, 299, 805, 296, 1774, 1942, 1941, 1936, 1935, 1764, 1762, 9])).
% 0.51/0.70 tff(1966,plain,
% 0.51/0.70 (store(store(a_872, i5, e_873), i1, select(a_836, i1)) = store(a_874, i2, e_875)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[13, 1414, 1965])).
% 0.51/0.70 tff(1967,plain,
% 0.51/0.70 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i1, select(a_836, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1966])).
% 0.51/0.70 tff(1968,plain,
% 0.51/0.70 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1967])).
% 0.51/0.70 tff(1969,plain,
% 0.51/0.70 (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1968])).
% 0.51/0.70 tff(1970,plain,
% 0.51/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.51/0.70 inference(rewrite,[status(thm)],[])).
% 0.51/0.70 tff(1971,plain,
% 0.51/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.51/0.70 inference(quant_inst,[status(thm)],[])).
% 0.51/0.70 tff(1972,plain,
% 0.51/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 0.51/0.70 tff(1973,plain,
% 0.51/0.70 ((i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1972, 55])).
% 0.51/0.70 tff(1974,plain,
% 0.51/0.70 (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1973, 170])).
% 0.51/0.70 tff(1975,plain,
% 0.51/0.70 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1974])).
% 0.51/0.70 tff(1976,plain,
% 0.51/0.70 (select(a_848, i1) = e_873),
% 0.51/0.70 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 1428, 651, 1426, 116, 113, 135, 101, 515, 1416, 278, 1413, 488])).
% 0.51/0.70 tff(1977,plain,
% 0.51/0.70 (store(store(a_871, i1, e_870), i5, select(a_848, i1)) = store(a_872, i5, e_873)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[264, 1976])).
% 0.51/0.70 tff(1978,plain,
% 0.51/0.70 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_848, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1977])).
% 0.51/0.70 tff(1979,plain,
% 0.51/0.70 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1978])).
% 0.51/0.70 tff(1980,plain,
% 0.51/0.70 (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1979])).
% 0.51/0.70 tff(1981,plain,
% 0.51/0.70 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.70 inference(rewrite,[status(thm)],[])).
% 0.51/0.70 tff(1982,plain,
% 0.51/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.70 inference(quant_inst,[status(thm)],[])).
% 0.51/0.70 tff(1983,plain,
% 0.51/0.70 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 0.51/0.70 tff(1984,plain,
% 0.51/0.70 (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.51/0.70 inference(unit_resolution,[status(thm)],[1983, 55, 1960])).
% 0.51/0.70 tff(1985,plain,
% 0.51/0.70 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1984])).
% 0.51/0.70 tff(1986,plain,
% 0.51/0.70 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(a_871, i1, e_870)),
% 0.51/0.70 inference(monotonicity,[status(thm)],[272, 1931])).
% 0.51/0.70 tff(1987,plain,
% 0.51/0.70 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_848, i1))),
% 0.51/0.70 inference(symmetry,[status(thm)],[1986])).
% 0.51/0.70 tff(1988,plain,
% 0.51/0.70 (store(store(a_869, i1, e_870), i1, select(a_869, i1)) = store(store(a_869, i1, e_870), i1, select(a_848, i1))),
% 0.51/0.70 inference(transitivity,[status(thm)],[273, 1987])).
% 0.51/0.70 tff(1989,plain,
% 0.51/0.70 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.70 inference(monotonicity,[status(thm)],[1988])).
% 0.51/0.70 tff(1990,plain,
% 0.51/0.70 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[1989])).
% 0.51/0.71 tff(1991,assumption,(~(select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))), introduced(assumption)).
% 0.51/0.71 tff(1992,plain,
% 0.51/0.71 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(1993,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.51/0.71 inference(quant_inst,[status(thm)],[])).
% 0.51/0.71 tff(1994,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))),
% 0.51/0.71 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 0.51/0.71 tff(1995,plain,
% 0.51/0.71 ($false),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[1994, 55, 170, 1991])).
% 0.51/0.71 tff(1996,plain,((select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.71 tff(1997,plain,
% 0.51/0.71 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[1996, 170])).
% 0.51/0.71 tff(1998,plain,
% 0.51/0.71 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[1997])).
% 0.51/0.71 tff(1999,plain,
% 0.51/0.71 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[1933])).
% 0.51/0.71 tff(2000,plain,
% 0.51/0.71 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[1999])).
% 0.51/0.71 tff(2001,plain,
% 0.51/0.71 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(2002,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.51/0.71 inference(quant_inst,[status(thm)],[])).
% 0.51/0.71 tff(2003,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.51/0.71 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 0.51/0.71 tff(2004,plain,
% 0.51/0.71 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[2003, 55, 170])).
% 0.51/0.71 tff(2005,plain,
% 0.51/0.71 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2004])).
% 0.51/0.71 tff(2006,plain,
% 0.51/0.71 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[1939])).
% 0.51/0.71 tff(2007,plain,
% 0.51/0.71 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2006])).
% 0.51/0.71 tff(2008,plain,
% 0.51/0.71 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(2009,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.51/0.71 inference(quant_inst,[status(thm)],[])).
% 0.51/0.71 tff(2010,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.51/0.71 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 0.51/0.71 tff(2011,plain,
% 0.51/0.71 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[2010, 55, 170])).
% 0.51/0.71 tff(2012,plain,
% 0.51/0.71 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2011])).
% 0.51/0.71 tff(2013,plain,
% 0.51/0.71 (select(a_836, i1) = e_866),
% 0.51/0.71 inference(transitivity,[status(thm)],[1418, 367, 1964, 1950, 1949, 299, 805, 291])).
% 0.51/0.71 tff(2014,plain,
% 0.51/0.71 (store(store(a_863, i0, e_864), i5, select(a_836, i1)) = store(a_865, i5, e_866)),
% 0.51/0.71 inference(monotonicity,[status(thm)],[129, 2013])).
% 0.51/0.71 tff(2015,plain,
% 0.51/0.71 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i5, select(a_836, i1))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2014])).
% 0.51/0.71 tff(2016,plain,
% 0.51/0.71 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[2015])).
% 0.51/0.71 tff(2017,plain,
% 0.51/0.71 (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2016])).
% 0.51/0.71 tff(2018,plain,
% 0.51/0.71 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(2019,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.51/0.71 inference(quant_inst,[status(thm)],[])).
% 0.51/0.71 tff(2020,plain,
% 0.51/0.71 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.51/0.71 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 0.51/0.71 tff(2021,plain,
% 0.51/0.71 (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[2020, 55, 1960])).
% 0.51/0.71 tff(2022,plain,
% 0.51/0.71 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2021])).
% 0.51/0.71 tff(2023,plain,
% 0.51/0.71 (select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[1972, 55, 170])).
% 0.51/0.71 tff(2024,plain,
% 0.51/0.71 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2023])).
% 0.51/0.71 tff(2025,plain,
% 0.51/0.71 (select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[1983, 55, 1340])).
% 0.51/0.71 tff(2026,plain,
% 0.51/0.71 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2025])).
% 0.51/0.71 tff(2027,plain,
% 0.51/0.71 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[1932])).
% 0.51/0.71 tff(2028,plain,
% 0.51/0.71 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[1938])).
% 0.51/0.71 tff(2029,plain,
% 0.51/0.71 (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[2014])).
% 0.51/0.71 tff(2030,plain,
% 0.51/0.71 ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[2020, 55])).
% 0.51/0.71 tff(2031,plain,
% 0.51/0.71 (select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.51/0.71 inference(unit_resolution,[status(thm)],[2030, 1340])).
% 0.51/0.71 tff(2032,plain,
% 0.51/0.71 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.71 inference(symmetry,[status(thm)],[2031])).
% 0.51/0.71 tff(2033,plain,
% 0.51/0.71 (select(a_861, i5) = select(a_840, i5)),
% 0.51/0.71 inference(monotonicity,[status(thm)],[1424])).
% 0.51/0.71 tff(2034,plain,
% 0.51/0.71 (select(a_840, i5) = select(a_861, i5)),
% 0.51/0.71 inference(symmetry,[status(thm)],[2033])).
% 0.51/0.71 tff(2035,plain,
% 0.51/0.71 (select(a_840, i5) = e_864),
% 0.51/0.71 inference(transitivity,[status(thm)],[2034, 89])).
% 0.51/0.71 tff(2036,plain,
% 0.51/0.71 (store(store(a_861, i5, e_862), i0, select(a_840, i5)) = store(a_863, i0, e_864)),
% 0.51/0.71 inference(monotonicity,[status(thm)],[93, 2035])).
% 0.51/0.71 tff(2037,plain,
% 0.51/0.71 (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[2036])).
% 0.51/0.71 tff(2038,plain,
% 0.51/0.71 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2039,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2040,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 0.51/0.72 tff(2041,plain,
% 0.51/0.72 (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2040, 55, 1155])).
% 0.51/0.72 tff(2042,plain,
% 0.51/0.72 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2041])).
% 0.51/0.72 tff(2043,plain,
% 0.51/0.72 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[1946])).
% 0.51/0.72 tff(2044,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2045,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2046,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 0.51/0.72 tff(2047,plain,
% 0.51/0.72 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2046, 55, 1340])).
% 0.51/0.72 tff(2048,plain,
% 0.51/0.72 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2047])).
% 0.51/0.72 tff(2049,plain,
% 0.51/0.72 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[1708, 55, 1155])).
% 0.51/0.72 tff(2050,plain,
% 0.51/0.72 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[1951])).
% 0.51/0.72 tff(2051,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2052,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2053,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 0.51/0.72 tff(2054,plain,
% 0.51/0.72 (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2053, 55, 1340])).
% 0.51/0.72 tff(2055,plain,
% 0.51/0.72 (select(a_848, i1) = e_843),
% 0.51/0.72 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 1428, 651, 376])).
% 0.51/0.72 tff(2056,plain,
% 0.51/0.72 (store(store(a_840, i0, e_841), i5, select(a_848, i1)) = store(a_842, i5, e_843)),
% 0.51/0.72 inference(monotonicity,[status(thm)],[380, 2055])).
% 0.51/0.72 tff(2057,plain,
% 0.51/0.72 (store(a_842, i5, e_843) = store(store(a_840, i0, e_841), i5, select(a_848, i1))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2056])).
% 0.51/0.72 tff(2058,plain,
% 0.51/0.72 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2057])).
% 0.51/0.72 tff(2059,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2060,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2061,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 0.51/0.72 tff(2062,plain,
% 0.51/0.72 (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2061, 55, 170])).
% 0.51/0.72 tff(2063,plain,
% 0.51/0.72 (select(a_848, i1) = e_845),
% 0.51/0.72 inference(transitivity,[status(thm)],[1449, 1448, 1430, 733, 647])).
% 0.51/0.72 tff(2064,plain,
% 0.51/0.72 (store(store(a_842, i5, e_843), i1, select(a_848, i1)) = store(a_844, i2, e_845)),
% 0.51/0.72 inference(monotonicity,[status(thm)],[654, 1414, 2063])).
% 0.51/0.72 tff(2065,plain,
% 0.51/0.72 (store(a_844, i2, e_845) = store(store(a_842, i5, e_843), i1, select(a_848, i1))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2064])).
% 0.51/0.72 tff(2066,plain,
% 0.51/0.72 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2065])).
% 0.51/0.72 tff(2067,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2068,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2069,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 0.51/0.72 tff(2070,plain,
% 0.51/0.72 (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2069, 55, 1340])).
% 0.51/0.72 tff(2071,plain,
% 0.51/0.72 (select(store(a_840, i0, e_841), i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2)),
% 0.51/0.72 inference(symmetry,[status(thm)],[372])).
% 0.51/0.72 tff(2072,plain,
% 0.51/0.72 (select(store(a_840, i0, e_841), i1) = select(store(a_840, i0, e_841), i2)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1953])).
% 0.51/0.72 tff(2073,plain,
% 0.51/0.72 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_840, i0, e_841), i1)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1952])).
% 0.51/0.72 tff(2074,plain,
% 0.51/0.72 (select(store(a_838, i1, e_839), i1) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1775])).
% 0.51/0.72 tff(2075,plain,
% 0.51/0.72 (select(a_836, i1) = e_847),
% 0.51/0.72 inference(transitivity,[status(thm)],[1418, 367, 1964, 2074, 2073, 2072, 2071, 662, 393])).
% 0.51/0.72 tff(2076,plain,
% 0.51/0.72 (store(store(a_844, i2, e_845), i5, select(a_836, i1)) = store(a_846, i5, e_847)),
% 0.51/0.72 inference(monotonicity,[status(thm)],[397, 2075])).
% 0.51/0.72 tff(2077,plain,
% 0.51/0.72 (store(a_846, i5, e_847) = store(store(a_844, i2, e_845), i5, select(a_836, i1))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2076])).
% 0.51/0.72 tff(2078,plain,
% 0.51/0.72 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2077])).
% 0.51/0.72 tff(2079,plain,
% 0.51/0.72 (select(store(a_850, i1, e_849), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[416])).
% 0.51/0.72 tff(2080,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2081,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2082,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 0.51/0.72 tff(2083,plain,
% 0.51/0.72 (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2082, 55, 1340])).
% 0.51/0.72 tff(2084,plain,
% 0.51/0.72 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1) = select(a_851, i2)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1450])).
% 0.51/0.72 tff(2085,plain,
% 0.51/0.72 (select(a_848, i1) = e_852),
% 0.51/0.72 inference(transitivity,[status(thm)],[745, 2084, 699])).
% 0.51/0.72 tff(2086,plain,
% 0.51/0.72 (store(store(a_850, i1, e_849), i5, select(a_848, i1)) = store(a_851, i5, e_852)),
% 0.51/0.72 inference(monotonicity,[status(thm)],[736, 2085])).
% 0.51/0.72 tff(2087,plain,
% 0.51/0.72 (store(a_851, i5, e_852) = store(store(a_850, i1, e_849), i5, select(a_848, i1))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2086])).
% 0.51/0.72 tff(2088,plain,
% 0.51/0.72 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2087])).
% 0.51/0.72 tff(2089,plain,
% 0.51/0.72 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(2090,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.51/0.72 inference(quant_inst,[status(thm)],[])).
% 0.51/0.72 tff(2091,plain,
% 0.51/0.72 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.51/0.72 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 0.51/0.72 tff(2092,plain,
% 0.51/0.72 (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.51/0.72 inference(unit_resolution,[status(thm)],[2091, 55, 170])).
% 0.51/0.72 tff(2093,plain,
% 0.51/0.72 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(a_851, i5)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1956])).
% 0.51/0.72 tff(2094,plain,
% 0.51/0.72 (select(store(a_848, i1, e_849), i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1791])).
% 0.51/0.72 tff(2095,plain,
% 0.51/0.72 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1955])).
% 0.51/0.72 tff(2096,plain,
% 0.51/0.72 (select(store(a_846, i5, e_847), i5) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1788])).
% 0.51/0.72 tff(2097,plain,
% 0.51/0.72 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(store(a_846, i5, e_847), i5)),
% 0.51/0.72 inference(symmetry,[status(thm)],[1954])).
% 0.51/0.72 tff(2098,plain,
% 0.51/0.72 (select(a_836, i1) = e_854),
% 0.51/0.72 inference(transitivity,[status(thm)],[1418, 367, 1964, 2074, 2073, 2072, 2071, 662, 679, 2097, 2096, 2095, 2094, 2093, 427])).
% 0.51/0.72 tff(2099,plain,
% 0.51/0.72 (store(store(a_851, i5, e_852), i1, select(a_836, i1)) = store(a_853, i2, e_854)),
% 0.51/0.72 inference(monotonicity,[status(thm)],[431, 1414, 2098])).
% 0.51/0.72 tff(2100,plain,
% 0.51/0.72 (store(a_853, i2, e_854) = store(store(a_851, i5, e_852), i1, select(a_836, i1))),
% 0.51/0.72 inference(symmetry,[status(thm)],[2099])).
% 0.51/0.72 tff(2101,plain,
% 0.51/0.72 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2100])).
% 0.51/0.72 tff(2102,plain,
% 0.51/0.72 (store(a_855, i5, e_856) = store(store(a_853, i2, e_854), i5, select(a_851, i5))),
% 0.51/0.72 inference(symmetry,[status(thm)],[1635])).
% 0.51/0.72 tff(2103,plain,
% 0.51/0.72 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.51/0.72 inference(monotonicity,[status(thm)],[2102])).
% 0.51/0.72 tff(2104,plain,
% 0.51/0.72 (e_882 = e_883),
% 0.51/0.72 inference(transitivity,[status(thm)],[180, 464, 449, 2103, 1547, 2101, 2092, 2088, 2083, 2079, 1628, 1503, 1552, 2078, 2070, 2066, 2062, 2058, 2054, 2050, 2049, 2048, 2043, 2042, 2037, 2032, 2029, 2012, 2028, 2005, 2027, 1998, 1990, 1355, 2026, 1980, 2024, 1969, 1346, 77, 250, 48, 29])).
% 0.51/0.73 tff(2105,plain,
% 0.51/0.73 ($false),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[468, 2104])).
% 0.51/0.73 tff(2106,plain,((i5 = sk(a_859, a_880)) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(i2 = i1)) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5))) | (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))) | (~(select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))) | (i0 = sk(a_859, a_880)) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.73 tff(2107,plain,
% 0.51/0.73 (i0 = sk(a_859, a_880)),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2106, 170, 249, 184, 1763, 1930, 1929, 298, 1928, 372, 1775, 1791, 1788, 449, 1960])).
% 0.51/0.73 tff(2108,plain,
% 0.51/0.73 (sk(a_859, a_880) = i0),
% 0.51/0.73 inference(symmetry,[status(thm)],[2107])).
% 0.51/0.73 tff(2109,plain,
% 0.51/0.73 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.51/0.73 inference(monotonicity,[status(thm)],[95, 2108])).
% 0.51/0.73 tff(2110,plain,
% 0.51/0.73 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2109])).
% 0.51/0.73 tff(2111,plain,
% 0.51/0.73 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[821, 2107])).
% 0.51/0.73 tff(2112,plain,
% 0.51/0.73 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.51/0.73 inference(symmetry,[status(thm)],[2111])).
% 0.51/0.73 tff(2113,plain,
% 0.51/0.73 (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2053, 55, 1960])).
% 0.51/0.73 tff(2114,plain,
% 0.51/0.73 (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[2056])).
% 0.51/0.73 tff(2115,plain,
% 0.51/0.73 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2114])).
% 0.51/0.73 tff(2116,plain,
% 0.51/0.73 (select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[2064])).
% 0.51/0.73 tff(2117,plain,
% 0.51/0.73 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2116])).
% 0.51/0.73 tff(2118,plain,
% 0.51/0.73 (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2069, 55, 1960])).
% 0.51/0.73 tff(2119,plain,
% 0.51/0.73 (select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[2076])).
% 0.51/0.73 tff(2120,plain,
% 0.51/0.73 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2119])).
% 0.51/0.73 tff(2121,plain,
% 0.51/0.73 (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2082, 55, 1960])).
% 0.51/0.73 tff(2122,plain,
% 0.51/0.73 (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[2086])).
% 0.51/0.73 tff(2123,plain,
% 0.51/0.73 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2122])).
% 0.51/0.73 tff(2124,plain,
% 0.51/0.73 ((i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2091, 55])).
% 0.51/0.73 tff(2125,plain,
% 0.51/0.73 (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2124, 170])).
% 0.51/0.73 tff(2126,plain,
% 0.51/0.73 (select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.51/0.73 inference(monotonicity,[status(thm)],[2099])).
% 0.51/0.73 tff(2127,plain,
% 0.51/0.73 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i1, select(a_836, i1)), sk(a_859, a_880))),
% 0.51/0.73 inference(symmetry,[status(thm)],[2126])).
% 0.51/0.73 tff(2128,plain,
% 0.51/0.73 (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[1546, 1960])).
% 0.51/0.73 tff(2129,plain,
% 0.51/0.73 (e_882 = e_883),
% 0.51/0.73 inference(transitivity,[status(thm)],[180, 765, 449, 1637, 2128, 2127, 2125, 2123, 2121, 1629, 1628, 1614, 1552, 2120, 2118, 2117, 2062, 2115, 2113, 2112, 820, 2034, 519, 2110, 2022, 2017, 2012, 2007, 2005, 2000, 1998, 1990, 1355, 1985, 1980, 1975, 1969, 1962, 77, 250, 48, 29])).
% 0.51/0.73 tff(2130,plain,
% 0.51/0.73 ($false),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[468, 2129])).
% 0.51/0.73 tff(2131,plain,((i1 = sk(a_859, a_880)) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(i2 = i1)) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2))) | (~(select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), i5) = select(store(a_867, i2, e_868), i5))) | (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), i5) = select(store(a_865, i5, e_866), i5)))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.73 tff(2132,plain,
% 0.51/0.73 (i1 = sk(a_859, a_880)),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2131, 1927, 1926, 1924, 1923, 1922, 1919, 1876, 1918, 1913, 1905, 1904, 1900])).
% 0.51/0.73 tff(2133,plain,
% 0.51/0.73 (i2 = sk(a_859, a_880)),
% 0.51/0.73 inference(modus_ponens,[status(thm)],[2132, 1878])).
% 0.51/0.73 tff(2134,plain,
% 0.51/0.73 ($false),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[1925, 2133])).
% 0.51/0.73 tff(2135,plain,((select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.73 tff(2136,plain,
% 0.51/0.73 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1)),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2135, 81])).
% 0.51/0.73 tff(2137,plain,
% 0.51/0.73 (select(store(a_865, i5, e_866), i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1)),
% 0.51/0.73 inference(symmetry,[status(thm)],[2136])).
% 0.51/0.73 tff(2138,plain,
% 0.51/0.73 (select(store(a_865, i5, e_866), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1)),
% 0.51/0.73 inference(monotonicity,[status(thm)],[801])).
% 0.51/0.73 tff(2139,plain,
% 0.51/0.73 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_865, i5, e_866), i1)),
% 0.51/0.73 inference(symmetry,[status(thm)],[2138])).
% 0.51/0.73 tff(2140,plain,
% 0.51/0.73 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)))),
% 0.51/0.73 inference(rewrite,[status(thm)],[])).
% 0.51/0.73 tff(2141,plain,
% 0.51/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)))),
% 0.51/0.73 inference(quant_inst,[status(thm)],[])).
% 0.51/0.73 tff(2142,plain,
% 0.51/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1))),
% 0.51/0.73 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 0.51/0.73 tff(2143,plain,
% 0.51/0.73 ((i5 = i1) | (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2142, 55])).
% 0.51/0.73 tff(2144,plain,
% 0.51/0.73 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2143, 1338])).
% 0.51/0.73 tff(2145,plain,
% 0.51/0.73 (select(store(a_863, i0, e_864), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1)),
% 0.51/0.73 inference(symmetry,[status(thm)],[2144])).
% 0.51/0.73 tff(2146,plain,
% 0.51/0.73 (select(store(a_863, i0, e_864), i1) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1)),
% 0.51/0.73 inference(monotonicity,[status(thm)],[95])).
% 0.51/0.73 tff(2147,plain,
% 0.51/0.73 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_863, i0, e_864), i1)),
% 0.51/0.73 inference(symmetry,[status(thm)],[2146])).
% 0.51/0.73 tff(2148,plain,
% 0.51/0.73 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i1) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i1) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1)))),
% 0.51/0.73 inference(rewrite,[status(thm)],[])).
% 0.51/0.73 tff(2149,plain,
% 0.51/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i1) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1)))),
% 0.51/0.73 inference(quant_inst,[status(thm)],[])).
% 0.51/0.73 tff(2150,plain,
% 0.51/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i1) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1))),
% 0.51/0.73 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 0.51/0.73 tff(2151,plain,
% 0.51/0.73 ((i0 = i1) | (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1))),
% 0.51/0.73 inference(unit_resolution,[status(thm)],[2150, 55])).
% 0.58/0.73 tff(2152,plain,
% 0.58/0.73 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[2151, 1666])).
% 0.58/0.73 tff(2153,plain,
% 0.58/0.73 (select(store(a_861, i5, e_862), i1) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2152])).
% 0.58/0.73 tff(2154,plain,
% 0.58/0.73 (select(store(a_861, i5, e_862), i1) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1)),
% 0.58/0.73 inference(monotonicity,[status(thm)],[111])).
% 0.58/0.73 tff(2155,plain,
% 0.58/0.73 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_861, i5, e_862), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2154])).
% 0.58/0.73 tff(2156,plain,
% 0.58/0.73 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(2157,plain,
% 0.58/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(2158,plain,
% 0.58/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 0.58/0.73 tff(2159,plain,
% 0.58/0.73 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[2158, 55, 1338])).
% 0.58/0.73 tff(2160,plain,
% 0.58/0.73 (select(store(a_860, i2, e_837), i1) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2159])).
% 0.58/0.73 tff(2161,plain,
% 0.58/0.73 (select(store(a_860, i2, e_837), i1) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1)),
% 0.58/0.73 inference(monotonicity,[status(thm)],[312])).
% 0.58/0.73 tff(2162,plain,
% 0.58/0.73 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_860, i2, e_837), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2161])).
% 0.58/0.73 tff(2163,assumption,(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1)), introduced(assumption)).
% 0.58/0.73 tff(2164,plain,
% 0.58/0.73 (select(store(a_836, i1, e_839), i1) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2163])).
% 0.58/0.73 tff(2165,plain,
% 0.58/0.73 (select(store(a_836, i1, e_839), i1) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1)),
% 0.58/0.73 inference(monotonicity,[status(thm)],[323])).
% 0.58/0.73 tff(2166,plain,
% 0.58/0.73 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(store(a_836, i1, e_839), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2165])).
% 0.58/0.73 tff(2167,plain,
% 0.58/0.73 (select(a_840, i0) = e_845),
% 0.58/0.73 inference(transitivity,[status(thm)],[652, 1427, 647])).
% 0.58/0.73 tff(2168,plain,
% 0.58/0.73 (store(store(a_842, i5, e_843), i2, select(a_840, i0)) = store(a_844, i2, e_845)),
% 0.58/0.73 inference(monotonicity,[status(thm)],[654, 2167])).
% 0.58/0.73 tff(2169,plain,
% 0.58/0.73 (select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_844, i2, e_845), i1)),
% 0.58/0.73 inference(monotonicity,[status(thm)],[2168])).
% 0.58/0.73 tff(2170,plain,
% 0.58/0.73 (select(store(a_844, i2, e_845), i1) = select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1)),
% 0.58/0.73 inference(symmetry,[status(thm)],[2169])).
% 0.58/0.73 tff(2171,plain,
% 0.58/0.73 (select(a_848, i1) = e_870),
% 0.58/0.73 inference(transitivity,[status(thm)],[1449, 1448, 2170, 168, 1680, 1724, 1673, 1671, 1663, 330, 328, 2166, 2164, 2162, 2160, 2155, 2153, 2147, 2145, 2139, 2137, 800, 268])).
% 0.58/0.73 tff(2172,plain,
% 0.58/0.73 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(a_871, i1, e_870)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[272, 2171])).
% 0.58/0.74 tff(2173,plain,
% 0.58/0.74 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i1, select(a_848, i1))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2172])).
% 0.58/0.74 tff(2174,plain,
% 0.58/0.74 (store(store(a_869, i1, e_870), i1, select(a_869, i1)) = store(store(a_869, i1, e_870), i1, select(a_848, i1))),
% 0.58/0.74 inference(transitivity,[status(thm)],[273, 2173])).
% 0.58/0.74 tff(2175,plain,
% 0.58/0.74 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2174])).
% 0.58/0.74 tff(2176,plain,
% 0.58/0.74 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2175])).
% 0.58/0.74 tff(2177,plain,
% 0.58/0.74 (store(store(a_867, i2, e_868), i1, select(a_848, i1)) = store(a_869, i1, e_870)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[282, 2171])).
% 0.58/0.74 tff(2178,plain,
% 0.58/0.74 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i1, select(a_848, i1))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2177])).
% 0.58/0.74 tff(2179,plain,
% 0.58/0.74 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2178])).
% 0.58/0.74 tff(2180,plain,
% 0.58/0.74 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2179])).
% 0.58/0.74 tff(2181,plain,
% 0.58/0.74 (store(store(a_865, i5, e_866), i5, select(a_861, i0)) = store(a_867, i2, e_868)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[140, 1844, 136])).
% 0.58/0.74 tff(2182,plain,
% 0.58/0.74 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i5, select(a_861, i0))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2181])).
% 0.58/0.74 tff(2183,plain,
% 0.58/0.74 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2182])).
% 0.58/0.74 tff(2184,plain,
% 0.58/0.74 (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2183])).
% 0.58/0.74 tff(2185,plain,
% 0.58/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(2186,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.58/0.74 inference(quant_inst,[status(thm)],[])).
% 0.58/0.74 tff(2187,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.58/0.74 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 0.58/0.74 tff(2188,plain,
% 0.58/0.74 (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[2187, 55, 1841])).
% 0.58/0.74 tff(2189,plain,
% 0.58/0.74 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2188])).
% 0.58/0.74 tff(2190,plain,
% 0.58/0.74 (select(a_865, i2) = select(a_865, i5)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[1838])).
% 0.58/0.74 tff(2191,plain,
% 0.58/0.74 (select(a_865, i5) = select(a_865, i2)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2190])).
% 0.58/0.74 tff(2192,plain,
% 0.58/0.74 (select(a_861, i0) = e_866),
% 0.58/0.74 inference(transitivity,[status(thm)],[116, 113, 135, 101, 2191, 291])).
% 0.58/0.74 tff(2193,plain,
% 0.58/0.74 (store(store(a_863, i0, e_864), i5, select(a_861, i0)) = store(a_865, i5, e_866)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[129, 2192])).
% 0.58/0.74 tff(2194,plain,
% 0.58/0.74 (store(a_865, i5, e_866) = store(store(a_863, i0, e_864), i5, select(a_861, i0))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2193])).
% 0.58/0.74 tff(2195,plain,
% 0.58/0.74 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2194])).
% 0.58/0.74 tff(2196,plain,
% 0.58/0.74 (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2195])).
% 0.58/0.74 tff(2197,plain,
% 0.58/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(2198,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))))),
% 0.58/0.74 inference(quant_inst,[status(thm)],[])).
% 0.58/0.74 tff(2199,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))),
% 0.58/0.74 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 0.58/0.74 tff(2200,plain,
% 0.58/0.74 (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[2199, 55, 1841])).
% 0.58/0.74 tff(2201,plain,
% 0.58/0.74 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2200])).
% 0.58/0.74 tff(2202,plain,
% 0.58/0.74 (store(a_878, i2, e_879) = a_880),
% 0.58/0.74 inference(symmetry,[status(thm)],[45])).
% 0.58/0.74 tff(2203,plain,
% 0.58/0.74 (store(store(a_876, i5, e_877), i2, select(a_876, i5)) = a_880),
% 0.58/0.74 inference(transitivity,[status(thm)],[41, 2202])).
% 0.58/0.74 tff(2204,plain,
% 0.58/0.74 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(a_880, i_881)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2203, 761])).
% 0.58/0.74 tff(2205,plain,
% 0.58/0.74 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[74])).
% 0.58/0.74 tff(2206,plain,
% 0.58/0.74 (i5 = i2),
% 0.58/0.74 inference(symmetry,[status(thm)],[1405])).
% 0.58/0.74 tff(2207,plain,
% 0.58/0.74 (select(a_872, i5) = select(a_872, i2)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2206])).
% 0.58/0.74 tff(2208,plain,
% 0.58/0.74 (select(a_872, i2) = select(a_872, i5)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2207])).
% 0.58/0.74 tff(2209,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)), introduced(assumption)).
% 0.58/0.74 tff(2210,plain,
% 0.58/0.74 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2209])).
% 0.58/0.74 tff(2211,plain,
% 0.58/0.74 (select(a_861, i0) = e_875),
% 0.58/0.74 inference(transitivity,[status(thm)],[116, 113, 135, 101, 515, 512, 2210, 1848, 1491, 492, 2208, 9])).
% 0.58/0.74 tff(2212,plain,
% 0.58/0.74 (store(store(a_872, i5, e_873), i5, select(a_861, i0)) = store(a_874, i2, e_875)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[13, 2206, 2211])).
% 0.58/0.74 tff(2213,plain,
% 0.58/0.74 (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2212])).
% 0.58/0.74 tff(2214,plain,
% 0.58/0.74 (select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[1862, 55, 1340])).
% 0.58/0.74 tff(2215,plain,
% 0.58/0.74 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2214])).
% 0.58/0.74 tff(2216,plain,
% 0.58/0.74 (select(a_861, i0) = e_873),
% 0.58/0.74 inference(transitivity,[status(thm)],[116, 113, 135, 101, 515, 512, 2210, 1848, 1491, 492, 488])).
% 0.58/0.74 tff(2217,plain,
% 0.58/0.74 (store(store(a_871, i1, e_870), i5, select(a_861, i0)) = store(a_872, i5, e_873)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[264, 2216])).
% 0.58/0.74 tff(2218,plain,
% 0.58/0.74 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2217])).
% 0.58/0.74 tff(2219,plain,
% 0.58/0.74 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[1872, 55, 1340])).
% 0.58/0.74 tff(2220,plain,
% 0.58/0.74 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2219])).
% 0.58/0.74 tff(2221,plain,
% 0.58/0.74 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[273])).
% 0.58/0.74 tff(2222,assumption,(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)), introduced(assumption)).
% 0.58/0.74 tff(2223,plain,
% 0.58/0.74 (select(store(a_863, i0, e_864), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2222])).
% 0.58/0.74 tff(2224,assumption,(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1)), introduced(assumption)).
% 0.58/0.74 tff(2225,plain,
% 0.58/0.74 (select(store(a_861, i5, e_862), i1) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2224])).
% 0.58/0.74 tff(2226,assumption,(select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)), introduced(assumption)).
% 0.58/0.74 tff(2227,plain,
% 0.58/0.74 (select(store(a_860, i2, e_837), i1) = select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2226])).
% 0.58/0.74 tff(2228,plain,
% 0.58/0.74 (select(a_848, i1) = e_870),
% 0.58/0.74 inference(transitivity,[status(thm)],[1449, 1448, 2170, 168, 1680, 1776, 1673, 1775, 1663, 330, 328, 2166, 2164, 2162, 2227, 2155, 2225, 2147, 2223, 2139, 287, 800, 268])).
% 0.58/0.74 tff(2229,plain,
% 0.58/0.74 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(a_871, i1, e_870)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[272, 2228])).
% 0.58/0.74 tff(2230,plain,
% 0.58/0.74 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(store(a_869, i1, e_870), i1, select(a_869, i1))),
% 0.58/0.74 inference(transitivity,[status(thm)],[2229, 489])).
% 0.58/0.74 tff(2231,plain,
% 0.58/0.74 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2230])).
% 0.58/0.74 tff(2232,plain,
% 0.58/0.74 (store(store(a_867, i2, e_868), i1, select(a_848, i1)) = store(a_869, i1, e_870)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[282, 2228])).
% 0.58/0.74 tff(2233,plain,
% 0.58/0.74 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2232])).
% 0.58/0.74 tff(2234,plain,
% 0.58/0.74 (store(store(a_865, i5, e_866), i5, select(a_861, i0)) = store(a_867, i2, e_868)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[140, 2206, 136])).
% 0.58/0.74 tff(2235,plain,
% 0.58/0.74 (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2234])).
% 0.58/0.74 tff(2236,plain,
% 0.58/0.74 (select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[2187, 55, 1340])).
% 0.58/0.74 tff(2237,plain,
% 0.58/0.74 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2236])).
% 0.58/0.74 tff(2238,plain,
% 0.58/0.74 (select(a_865, i2) = select(a_865, i5)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[1405])).
% 0.58/0.74 tff(2239,plain,
% 0.58/0.74 (select(a_865, i5) = select(a_865, i2)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2238])).
% 0.58/0.74 tff(2240,plain,
% 0.58/0.74 (select(a_861, i0) = e_866),
% 0.58/0.74 inference(transitivity,[status(thm)],[116, 113, 135, 101, 2239, 291])).
% 0.58/0.74 tff(2241,plain,
% 0.58/0.74 (store(store(a_863, i0, e_864), i5, select(a_861, i0)) = store(a_865, i5, e_866)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[129, 2240])).
% 0.58/0.74 tff(2242,plain,
% 0.58/0.74 (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2241])).
% 0.58/0.74 tff(2243,plain,
% 0.58/0.74 (select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[2199, 55, 1340])).
% 0.58/0.74 tff(2244,plain,
% 0.58/0.74 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.58/0.74 inference(symmetry,[status(thm)],[2243])).
% 0.58/0.74 tff(2245,plain,
% 0.58/0.74 (select(a_861, i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[313, 2206])).
% 0.58/0.74 tff(2246,plain,
% 0.58/0.74 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_861, i5)),
% 0.58/0.74 inference(symmetry,[status(thm)],[2245])).
% 0.58/0.74 tff(2247,plain,
% 0.58/0.74 (select(a_836, i1) = e_864),
% 0.58/0.74 inference(transitivity,[status(thm)],[347, 2246, 89])).
% 0.58/0.74 tff(2248,plain,
% 0.58/0.74 (store(store(a_861, i5, e_862), i0, select(a_836, i1)) = store(a_863, i0, e_864)),
% 0.58/0.74 inference(monotonicity,[status(thm)],[93, 2247])).
% 0.58/0.74 tff(2249,plain,
% 0.58/0.74 (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[2248])).
% 0.58/0.74 tff(2250,plain,
% 0.58/0.74 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(2251,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))))),
% 0.58/0.74 inference(quant_inst,[status(thm)],[])).
% 0.58/0.74 tff(2252,plain,
% 0.58/0.74 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.58/0.74 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 0.58/0.74 tff(2253,plain,
% 0.58/0.74 ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.58/0.74 inference(unit_resolution,[status(thm)],[2252, 55])).
% 0.58/0.75 tff(2254,plain,
% 0.58/0.75 (select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2253, 1155])).
% 0.58/0.75 tff(2255,plain,
% 0.58/0.75 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_836, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2254])).
% 0.58/0.75 tff(2256,plain,
% 0.58/0.75 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[110])).
% 0.58/0.75 tff(2257,plain,
% 0.58/0.75 (store(store(a_836, i1, e_839), i5, select(a_836, i1)) = store(a_860, i2, e_837)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[310, 2206, 306])).
% 0.58/0.75 tff(2258,plain,
% 0.58/0.75 (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_860, i2, e_837), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2257])).
% 0.58/0.75 tff(2259,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2260,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2261,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 0.58/0.75 tff(2262,plain,
% 0.58/0.75 (select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2261, 55, 1340])).
% 0.58/0.75 tff(2263,plain,
% 0.58/0.75 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i1, e_839), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2262])).
% 0.58/0.75 tff(2264,plain,
% 0.58/0.75 (select(a_848, i1) = e_839),
% 0.58/0.75 inference(transitivity,[status(thm)],[1449, 1448, 2170, 168, 1680, 1776, 1673, 1775, 1663, 330, 151])).
% 0.58/0.75 tff(2265,plain,
% 0.58/0.75 (store(store(a_834, i3, e_835), i1, select(a_848, i1)) = store(a_836, i1, e_839)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[321, 2264])).
% 0.58/0.75 tff(2266,plain,
% 0.58/0.75 (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2265])).
% 0.58/0.75 tff(2267,assumption,(~(select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))), introduced(assumption)).
% 0.58/0.75 tff(2268,plain,
% 0.58/0.75 ($false),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[1690, 55, 170, 2267])).
% 0.58/0.75 tff(2269,plain,((select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.58/0.75 tff(2270,plain,
% 0.58/0.75 (select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2269, 170])).
% 0.58/0.75 tff(2271,plain,
% 0.58/0.75 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2270])).
% 0.58/0.75 tff(2272,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2273,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2274,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 0.58/0.75 tff(2275,plain,
% 0.58/0.75 (select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2274, 55, 1340])).
% 0.58/0.75 tff(2276,plain,
% 0.58/0.75 (store(store(a_834, i3, e_835), i5, select(a_836, i1)) = store(a_836, i2, e_837)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[321, 2206, 306])).
% 0.58/0.75 tff(2277,plain,
% 0.58/0.75 (store(a_836, i2, e_837) = store(store(a_834, i3, e_835), i5, select(a_836, i1))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2276])).
% 0.58/0.75 tff(2278,plain,
% 0.58/0.75 (select(store(a_836, i2, e_837), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i5, select(a_836, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2277])).
% 0.58/0.75 tff(2279,plain,
% 0.58/0.75 (store(store(a_836, i2, e_837), i1, select(a_848, i1)) = store(a_838, i1, e_839)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[334, 2264])).
% 0.58/0.75 tff(2280,plain,
% 0.58/0.75 (store(a_838, i1, e_839) = store(store(a_836, i2, e_837), i1, select(a_848, i1))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2279])).
% 0.58/0.75 tff(2281,plain,
% 0.58/0.75 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2280])).
% 0.58/0.75 tff(2282,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2283,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2284,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 0.58/0.75 tff(2285,plain,
% 0.58/0.75 ((i0 = sk(a_859, a_880)) | (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880)))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2284, 55])).
% 0.58/0.75 tff(2286,plain,
% 0.58/0.75 (select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2285, 1155])).
% 0.58/0.75 tff(2287,plain,
% 0.58/0.75 (select(a_840, i5) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[364])).
% 0.58/0.75 tff(2288,plain,
% 0.58/0.75 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(a_840, i5)),
% 0.58/0.75 inference(symmetry,[status(thm)],[2287])).
% 0.58/0.75 tff(2289,plain,
% 0.58/0.75 (select(store(a_836, i2, e_837), i5) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5)),
% 0.58/0.75 inference(symmetry,[status(thm)],[1602])).
% 0.58/0.75 tff(2290,plain,
% 0.58/0.75 (select(store(a_836, i2, e_837), i5) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[351, 2206])).
% 0.58/0.75 tff(2291,plain,
% 0.58/0.75 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i5)),
% 0.58/0.75 inference(symmetry,[status(thm)],[2290])).
% 0.58/0.75 tff(2292,plain,
% 0.58/0.75 (select(a_836, i1) = e_841),
% 0.58/0.75 inference(transitivity,[status(thm)],[669, 2291, 2289, 2288, 362])).
% 0.58/0.75 tff(2293,plain,
% 0.58/0.75 (store(store(a_838, i1, e_839), i0, select(a_836, i1)) = store(a_840, i0, e_841)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[147, 2292])).
% 0.58/0.75 tff(2294,plain,
% 0.58/0.75 (store(a_840, i0, e_841) = store(store(a_838, i1, e_839), i0, select(a_836, i1))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2293])).
% 0.58/0.75 tff(2295,plain,
% 0.58/0.75 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_836, i1)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2294])).
% 0.58/0.75 tff(2296,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2297,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2298,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 0.58/0.75 tff(2299,plain,
% 0.58/0.75 (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2298, 55, 1340])).
% 0.58/0.75 tff(2300,plain,
% 0.58/0.75 (select(a_844, i5) = select(a_844, i2)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2206])).
% 0.58/0.75 tff(2301,plain,
% 0.58/0.75 (select(a_844, i2) = select(a_844, i5)),
% 0.58/0.75 inference(symmetry,[status(thm)],[2300])).
% 0.58/0.75 tff(2302,plain,
% 0.58/0.75 (select(a_851, i5) = e_843),
% 0.58/0.75 inference(transitivity,[status(thm)],[1793, 1791, 1790, 1788, 1787, 389, 2301, 1428, 651, 376])).
% 0.58/0.75 tff(2303,plain,
% 0.58/0.75 (store(store(a_840, i0, e_841), i5, select(a_851, i5)) = store(a_842, i5, e_843)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[380, 2302])).
% 0.58/0.75 tff(2304,plain,
% 0.58/0.75 (store(a_842, i5, e_843) = store(store(a_840, i0, e_841), i5, select(a_851, i5))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2303])).
% 0.58/0.75 tff(2305,plain,
% 0.58/0.75 (store(store(a_840, i0, e_841), i5, select(a_840, i0)) = store(store(a_840, i0, e_841), i5, select(a_851, i5))),
% 0.58/0.75 inference(transitivity,[status(thm)],[381, 2304])).
% 0.58/0.75 tff(2306,plain,
% 0.58/0.75 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2305])).
% 0.58/0.75 tff(2307,plain,
% 0.58/0.75 (select(store(a_842, i5, e_843), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[382])).
% 0.58/0.75 tff(2308,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2309,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2310,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 0.58/0.75 tff(2311,plain,
% 0.58/0.75 (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2310, 55, 1340])).
% 0.58/0.75 tff(2312,plain,
% 0.58/0.75 (select(a_851, i5) = e_845),
% 0.58/0.75 inference(transitivity,[status(thm)],[1793, 1791, 1790, 1788, 1787, 389, 2301, 647])).
% 0.58/0.75 tff(2313,plain,
% 0.58/0.75 (store(store(a_842, i5, e_843), i5, select(a_851, i5)) = store(a_844, i2, e_845)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[654, 2206, 2312])).
% 0.58/0.75 tff(2314,plain,
% 0.58/0.75 (store(a_844, i2, e_845) = store(store(a_842, i5, e_843), i5, select(a_851, i5))),
% 0.58/0.75 inference(symmetry,[status(thm)],[2313])).
% 0.58/0.75 tff(2315,plain,
% 0.58/0.75 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[2314])).
% 0.58/0.75 tff(2316,plain,
% 0.58/0.75 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(2317,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.58/0.75 inference(quant_inst,[status(thm)],[])).
% 0.58/0.75 tff(2318,plain,
% 0.58/0.75 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.58/0.75 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 0.58/0.75 tff(2319,plain,
% 0.58/0.75 (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.58/0.75 inference(unit_resolution,[status(thm)],[2318, 55, 1340])).
% 0.58/0.75 tff(2320,plain,
% 0.58/0.75 (select(a_851, i5) = e_847),
% 0.58/0.75 inference(transitivity,[status(thm)],[1793, 1791, 1790, 1788, 1787, 389, 393])).
% 0.58/0.75 tff(2321,plain,
% 0.58/0.75 (store(store(a_844, i2, e_845), i5, select(a_851, i5)) = store(a_846, i5, e_847)),
% 0.58/0.75 inference(monotonicity,[status(thm)],[397, 2320])).
% 0.58/0.76 tff(2322,plain,
% 0.58/0.76 (store(a_846, i5, e_847) = store(store(a_844, i2, e_845), i5, select(a_851, i5))),
% 0.58/0.76 inference(symmetry,[status(thm)],[2321])).
% 0.58/0.76 tff(2323,plain,
% 0.58/0.76 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[2322])).
% 0.58/0.76 tff(2324,plain,
% 0.58/0.76 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(2325,plain,
% 0.58/0.76 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(2326,plain,
% 0.58/0.76 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 0.58/0.76 tff(2327,plain,
% 0.58/0.76 (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[2326, 55, 1340])).
% 0.58/0.76 tff(2328,plain,
% 0.58/0.76 (select(a_851, i2) = select(a_851, i5)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[1405])).
% 0.58/0.76 tff(2329,plain,
% 0.58/0.76 (select(a_851, i5) = select(a_851, i2)),
% 0.58/0.76 inference(symmetry,[status(thm)],[2328])).
% 0.58/0.76 tff(2330,plain,
% 0.58/0.76 (select(a_851, i5) = e_852),
% 0.58/0.76 inference(transitivity,[status(thm)],[2329, 699])).
% 0.58/0.76 tff(2331,plain,
% 0.58/0.76 (store(store(a_850, i1, e_849), i5, select(a_851, i5)) = store(a_851, i5, e_852)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[736, 2330])).
% 0.58/0.76 tff(2332,plain,
% 0.58/0.76 (store(a_851, i5, e_852) = store(store(a_850, i1, e_849), i5, select(a_851, i5))),
% 0.58/0.76 inference(symmetry,[status(thm)],[2331])).
% 0.58/0.76 tff(2333,plain,
% 0.58/0.76 (store(store(a_850, i1, e_849), i5, select(a_851, i2)) = store(store(a_850, i1, e_849), i5, select(a_851, i5))),
% 0.58/0.76 inference(transitivity,[status(thm)],[1260, 2332])).
% 0.58/0.76 tff(2334,plain,
% 0.58/0.76 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[2333])).
% 0.58/0.76 tff(2335,plain,
% 0.58/0.76 (select(store(a_851, i5, e_852), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[1261])).
% 0.58/0.76 tff(2336,plain,
% 0.58/0.76 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(2337,plain,
% 0.58/0.76 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.58/0.76 inference(quant_inst,[status(thm)],[])).
% 0.58/0.76 tff(2338,plain,
% 0.58/0.76 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.58/0.76 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 0.58/0.76 tff(2339,plain,
% 0.58/0.76 (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[2338, 55, 1340])).
% 0.58/0.76 tff(2340,plain,
% 0.58/0.76 (store(store(a_851, i5, e_852), i5, select(a_851, i5)) = store(a_853, i2, e_854)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[431, 2206, 427])).
% 0.58/0.76 tff(2341,plain,
% 0.58/0.76 (store(a_853, i2, e_854) = store(store(a_851, i5, e_852), i5, select(a_851, i5))),
% 0.58/0.76 inference(symmetry,[status(thm)],[2340])).
% 0.58/0.76 tff(2342,plain,
% 0.58/0.76 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[2341])).
% 0.58/0.76 tff(2343,plain,
% 0.58/0.76 (e_882 = e_883),
% 0.58/0.76 inference(transitivity,[status(thm)],[180, 464, 449, 2103, 1547, 2342, 2339, 2335, 2334, 2327, 2079, 1628, 1503, 1552, 2323, 2319, 2315, 2311, 2307, 2306, 2299, 2295, 2286, 2281, 1702, 2278, 2275, 2271, 2266, 2263, 2258, 1654, 2256, 2255, 2249, 2244, 2242, 2237, 2235, 2005, 2233, 1998, 2231, 2221, 2220, 2218, 2215, 2213, 1346, 2205, 250, 2204, 29])).
% 0.58/0.76 tff(2344,plain,
% 0.58/0.76 ($false),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[468, 2343])).
% 0.58/0.76 tff(2345,plain,((i0 = sk(a_859, a_880)) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))) | (~(i2 = i5)) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (~(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1))) | (~(select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i5) = select(store(a_846, i5, e_847), i5))) | (~(select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))) | (i5 = sk(a_859, a_880)) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.58/0.76 tff(2346,plain,
% 0.58/0.76 (i0 = sk(a_859, a_880)),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[2345, 1838, 60, 1853, 1542, 2136, 2144, 2152, 2159, 2163, 1671, 1724, 168, 1740, 1734, 1730, 1841, 170])).
% 0.58/0.76 tff(2347,plain,
% 0.58/0.76 (sk(a_859, a_880) = i0),
% 0.58/0.76 inference(symmetry,[status(thm)],[2346])).
% 0.58/0.76 tff(2348,plain,
% 0.58/0.76 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[95, 2347])).
% 0.58/0.76 tff(2349,plain,
% 0.58/0.76 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.58/0.76 inference(symmetry,[status(thm)],[2348])).
% 0.58/0.76 tff(2350,plain,
% 0.58/0.76 (select(a_861, i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[313, 1844])).
% 0.58/0.76 tff(2351,plain,
% 0.58/0.76 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_861, i5)),
% 0.58/0.76 inference(symmetry,[status(thm)],[2350])).
% 0.58/0.76 tff(2352,plain,
% 0.58/0.76 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i5)),
% 0.58/0.76 inference(monotonicity,[status(thm)],[350, 1838])).
% 0.58/0.76 tff(2353,plain,
% 0.58/0.76 (select(store(a_836, i2, e_837), i5) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.58/0.76 inference(symmetry,[status(thm)],[2352])).
% 0.58/0.76 tff(2354,plain,
% 0.58/0.76 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[821, 2346])).
% 0.58/0.76 tff(2355,plain,
% 0.58/0.76 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.58/0.76 inference(symmetry,[status(thm)],[2354])).
% 0.58/0.76 tff(2356,plain,
% 0.58/0.76 (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.58/0.76 inference(unit_resolution,[status(thm)],[2298, 55, 1841])).
% 0.61/0.76 tff(2357,plain,
% 0.61/0.76 (select(a_844, i5) = select(a_844, i2)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[1844])).
% 0.61/0.76 tff(2358,plain,
% 0.61/0.76 (select(a_844, i2) = select(a_844, i5)),
% 0.61/0.76 inference(symmetry,[status(thm)],[2357])).
% 0.61/0.76 tff(2359,plain,
% 0.61/0.76 (select(a_851, i5) = e_843),
% 0.61/0.76 inference(transitivity,[status(thm)],[1793, 1730, 1790, 1734, 1787, 389, 2358, 1428, 651, 376])).
% 0.61/0.76 tff(2360,plain,
% 0.61/0.76 (store(store(a_840, i0, e_841), i5, select(a_851, i5)) = store(a_842, i5, e_843)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[380, 2359])).
% 0.61/0.76 tff(2361,plain,
% 0.61/0.76 (store(store(a_840, i0, e_841), i5, select(a_851, i5)) = store(store(a_840, i0, e_841), i5, select(a_840, i0))),
% 0.61/0.76 inference(transitivity,[status(thm)],[2360, 382])).
% 0.61/0.76 tff(2362,plain,
% 0.61/0.76 (select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2361])).
% 0.61/0.76 tff(2363,plain,
% 0.61/0.76 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2362])).
% 0.61/0.76 tff(2364,plain,
% 0.61/0.76 (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[2310, 55, 1841])).
% 0.61/0.76 tff(2365,plain,
% 0.61/0.76 (select(a_851, i5) = e_845),
% 0.61/0.76 inference(transitivity,[status(thm)],[1793, 1730, 1790, 1734, 1787, 389, 2358, 647])).
% 0.61/0.76 tff(2366,plain,
% 0.61/0.76 (store(store(a_842, i5, e_843), i5, select(a_851, i5)) = store(a_844, i2, e_845)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[654, 1844, 2365])).
% 0.61/0.76 tff(2367,plain,
% 0.61/0.76 (select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2366])).
% 0.61/0.76 tff(2368,plain,
% 0.61/0.76 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2367])).
% 0.61/0.76 tff(2369,plain,
% 0.61/0.76 (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[2318, 55, 1841])).
% 0.61/0.76 tff(2370,plain,
% 0.61/0.76 (select(a_851, i5) = e_847),
% 0.61/0.76 inference(transitivity,[status(thm)],[1793, 1730, 1790, 1734, 1787, 389, 393])).
% 0.61/0.76 tff(2371,plain,
% 0.61/0.76 (store(store(a_844, i2, e_845), i5, select(a_851, i5)) = store(a_846, i5, e_847)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[397, 2370])).
% 0.61/0.76 tff(2372,plain,
% 0.61/0.76 (select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2371])).
% 0.61/0.76 tff(2373,plain,
% 0.61/0.76 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2372])).
% 0.61/0.76 tff(2374,plain,
% 0.61/0.76 (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[2326, 55, 1841])).
% 0.61/0.76 tff(2375,plain,
% 0.61/0.76 (select(a_851, i2) = select(a_851, i5)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[1838])).
% 0.61/0.76 tff(2376,plain,
% 0.61/0.76 (select(a_851, i5) = select(a_851, i2)),
% 0.61/0.76 inference(symmetry,[status(thm)],[2375])).
% 0.61/0.76 tff(2377,plain,
% 0.61/0.76 (select(a_851, i5) = e_852),
% 0.61/0.76 inference(transitivity,[status(thm)],[2376, 699])).
% 0.61/0.76 tff(2378,plain,
% 0.61/0.76 (store(store(a_850, i1, e_849), i5, select(a_851, i5)) = store(a_851, i5, e_852)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[736, 2377])).
% 0.61/0.76 tff(2379,plain,
% 0.61/0.76 (store(store(a_850, i1, e_849), i5, select(a_851, i5)) = store(store(a_850, i1, e_849), i5, select(a_851, i2))),
% 0.61/0.76 inference(transitivity,[status(thm)],[2378, 1261])).
% 0.61/0.76 tff(2380,plain,
% 0.61/0.76 (select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2379])).
% 0.61/0.76 tff(2381,plain,
% 0.61/0.76 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2380])).
% 0.61/0.76 tff(2382,plain,
% 0.61/0.76 (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[2338, 55, 1841])).
% 0.61/0.76 tff(2383,plain,
% 0.61/0.76 (store(store(a_851, i5, e_852), i5, select(a_851, i5)) = store(a_853, i2, e_854)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[431, 1844, 427])).
% 0.61/0.76 tff(2384,plain,
% 0.61/0.76 (select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2383])).
% 0.61/0.76 tff(2385,plain,
% 0.61/0.76 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i5, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2384])).
% 0.61/0.76 tff(2386,plain,
% 0.61/0.76 (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[1546, 1841])).
% 0.61/0.76 tff(2387,plain,
% 0.61/0.76 (e_882 = e_883),
% 0.61/0.76 inference(transitivity,[status(thm)],[180, 765, 1542, 1637, 2386, 2385, 2382, 1632, 2381, 2374, 1629, 1628, 1614, 1552, 2373, 2369, 2368, 2364, 1609, 2363, 2356, 2355, 820, 1604, 1740, 2353, 349, 347, 2351, 519, 2349, 2201, 2196, 2189, 2184, 2005, 2180, 1998, 2176, 1355, 1874, 1869, 1864, 1859, 1843, 77, 61, 48, 29])).
% 0.61/0.76 tff(2388,plain,
% 0.61/0.76 ($false),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[468, 2387])).
% 0.61/0.76 tff(2389,plain,((i1 = sk(a_859, a_880)) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (i2 = sk(a_859, a_880)) | (i1 = i2) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.61/0.76 tff(2390,plain,
% 0.61/0.76 (i1 = sk(a_859, a_880)),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[2389, 167, 163, 49, 158, 81])).
% 0.61/0.76 tff(2391,plain,
% 0.61/0.76 (sk(a_859, a_880) = i1),
% 0.61/0.76 inference(symmetry,[status(thm)],[2390])).
% 0.61/0.76 tff(2392,plain,
% 0.61/0.76 ((i5 = sk(a_859, a_880)) <=> (i5 = i1)),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2391])).
% 0.61/0.76 tff(2393,plain,
% 0.61/0.76 ((i5 = sk(a_859, a_880)) <=> (i1 = i5)),
% 0.61/0.76 inference(transitivity,[status(thm)],[2392, 152])).
% 0.61/0.76 tff(2394,plain,
% 0.61/0.76 ((i1 = i5) <=> (i5 = sk(a_859, a_880))),
% 0.61/0.76 inference(symmetry,[status(thm)],[2393])).
% 0.61/0.76 tff(2395,plain,
% 0.61/0.76 ((~(i1 = i5)) <=> (~(i5 = sk(a_859, a_880)))),
% 0.61/0.76 inference(monotonicity,[status(thm)],[2394])).
% 0.61/0.76 tff(2396,plain,
% 0.61/0.76 (~(i5 = i1)),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[1337, 158])).
% 0.61/0.76 tff(2397,plain,
% 0.61/0.76 (~(i1 = i5)),
% 0.61/0.76 inference(unit_resolution,[status(thm)],[1562, 2396])).
% 0.61/0.76 tff(2398,plain,
% 0.61/0.76 (~(i5 = sk(a_859, a_880))),
% 0.61/0.76 inference(modus_ponens,[status(thm)],[2397, 2395])).
% 0.61/0.77 tff(2399,plain,
% 0.61/0.77 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1852, 158])).
% 0.61/0.77 tff(2400,plain,
% 0.61/0.77 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1677, 2396])).
% 0.61/0.77 tff(2401,plain,
% 0.61/0.77 (select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2158, 55, 2396])).
% 0.61/0.77 tff(2402,plain,
% 0.61/0.77 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2143, 2396])).
% 0.61/0.77 tff(2403,plain,
% 0.61/0.77 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_861, i0))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2217])).
% 0.61/0.77 tff(2404,plain,
% 0.61/0.77 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2403])).
% 0.61/0.77 tff(2405,plain,
% 0.61/0.77 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2404])).
% 0.61/0.77 tff(2406,plain,
% 0.61/0.77 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[252])).
% 0.61/0.77 tff(2407,plain,
% 0.61/0.77 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2406])).
% 0.61/0.77 tff(2408,plain,
% 0.61/0.77 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[252])).
% 0.61/0.77 tff(2409,plain,
% 0.61/0.77 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[433])).
% 0.61/0.77 tff(2410,plain,
% 0.61/0.77 (e_882 = e_883),
% 0.61/0.77 inference(transitivity,[status(thm)],[180, 464, 449, 2103, 1547, 2409, 1031, 2335, 1551, 2079, 2408, 406, 1449, 1448, 2170, 168, 1680, 1776, 1673, 1775, 1663, 330, 328, 2166, 2164, 2162, 2227, 2155, 2225, 2147, 2223, 2139, 287, 800, 278, 2407, 1355, 2220, 2405, 484, 479, 1346, 77, 61, 48, 29])).
% 0.61/0.77 tff(2411,plain,
% 0.61/0.77 ($false),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[468, 2410])).
% 0.61/0.77 tff(2412,plain,((i5 = sk(a_859, a_880)) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i1) = select(store(a_865, i5, e_866), i1))) | (~(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1))) | (~(select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i1) = select(store(a_861, i5, e_862), i1))) | (~(select(store(store(a_860, i2, e_837), i5, select(a_861, i0)), i1) = select(store(a_860, i2, e_837), i1))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i1) = select(store(a_836, i1, e_839), i1))) | (~(select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i1) = select(store(a_838, i1, e_839), i1))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i1) = select(store(a_840, i0, e_841), i1))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), i1) = select(store(a_842, i5, e_843), i1))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))) | (~(i1 = sk(a_859, a_880))) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.77 tff(2413,plain,
% 0.61/0.77 (i5 = sk(a_859, a_880)),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2412, 2402, 2136, 1542, 2152, 2401, 167, 1671, 2400, 163, 2399, 2390, 49])).
% 0.61/0.77 tff(2414,plain,
% 0.61/0.77 ($false),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2413, 2398])).
% 0.61/0.77 tff(2415,plain,((i2 = i1) | (i2 = sk(a_859, a_880)) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.61/0.77 tff(2416,plain,
% 0.61/0.77 (i2 = i1),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2415, 49, 81])).
% 0.61/0.77 tff(2417,plain,
% 0.61/0.77 (i1 = i2),
% 0.61/0.77 inference(symmetry,[status(thm)],[2416])).
% 0.61/0.77 tff(2418,plain,
% 0.61/0.77 (select(a_836, i1) = select(a_836, i2)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2417])).
% 0.61/0.77 tff(2419,plain,
% 0.61/0.77 (e_837 = e_839),
% 0.61/0.77 inference(transitivity,[status(thm)],[305, 2418, 151])).
% 0.61/0.77 tff(2420,plain,
% 0.61/0.77 (select(a_836, i2) = select(a_836, i1)),
% 0.61/0.77 inference(symmetry,[status(thm)],[2418])).
% 0.61/0.77 tff(2421,plain,
% 0.61/0.77 (e_839 = e_837),
% 0.61/0.77 inference(transitivity,[status(thm)],[150, 2420, 306])).
% 0.61/0.77 tff(2422,plain,
% 0.61/0.77 (store(a_836, i1, e_839) = store(a_836, i2, e_837)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2417, 2421])).
% 0.61/0.77 tff(2423,plain,
% 0.61/0.77 (a_860 = a_838),
% 0.61/0.77 inference(transitivity,[status(thm)],[309, 2422, 334])).
% 0.61/0.77 tff(2424,plain,
% 0.61/0.77 (store(a_860, i2, e_837) = store(a_838, i1, e_839)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2423, 2416, 2419])).
% 0.61/0.77 tff(2425,plain,
% 0.61/0.77 (a_861 = a_840),
% 0.61/0.77 inference(transitivity,[status(thm)],[108, 2424, 147])).
% 0.61/0.77 tff(2426,plain,
% 0.61/0.77 (select(a_861, i0) = select(a_840, i0)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2425])).
% 0.61/0.77 tff(2427,plain,
% 0.61/0.77 (select(a_840, i0) = select(a_861, i0)),
% 0.61/0.77 inference(symmetry,[status(thm)],[2426])).
% 0.61/0.77 tff(2428,plain,
% 0.61/0.77 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), i1)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[728, 2416])).
% 0.61/0.77 tff(2429,plain,
% 0.61/0.77 (select(store(a_844, i2, e_845), i1) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.61/0.77 inference(symmetry,[status(thm)],[2428])).
% 0.61/0.77 tff(2430,plain,
% 0.61/0.77 (select(a_848, i1) = e_868),
% 0.61/0.77 inference(transitivity,[status(thm)],[1449, 1448, 2429, 733, 1428, 651, 2427, 116, 113, 135, 101, 85])).
% 0.61/0.77 tff(2431,plain,
% 0.61/0.77 (store(store(a_865, i5, e_866), i1, select(a_848, i1)) = store(a_867, i2, e_868)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[140, 2417, 2430])).
% 0.61/0.77 tff(2432,plain,
% 0.61/0.77 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2431])).
% 0.61/0.77 tff(2433,plain,
% 0.61/0.77 (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.61/0.77 inference(transitivity,[status(thm)],[2432, 143])).
% 0.61/0.77 tff(2434,plain,
% 0.61/0.77 ((select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))) <=> (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2433])).
% 0.61/0.77 tff(2435,plain,
% 0.61/0.77 ((select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))) <=> (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2434])).
% 0.61/0.77 tff(2436,plain,
% 0.61/0.77 ((select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))) <=> (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.77 inference(commutativity,[status(thm)],[])).
% 0.61/0.77 tff(2437,plain,
% 0.61/0.77 ((i2 = sk(a_859, a_880)) <=> (i1 = sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2416])).
% 0.61/0.77 tff(2438,plain,
% 0.61/0.77 ((~(i2 = sk(a_859, a_880))) <=> (~(i1 = sk(a_859, a_880)))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2437])).
% 0.61/0.77 tff(2439,plain,
% 0.61/0.77 (~(i1 = sk(a_859, a_880))),
% 0.61/0.77 inference(modus_ponens,[status(thm)],[49, 2438])).
% 0.61/0.77 tff(2440,plain,
% 0.61/0.77 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[2003, 55, 2439])).
% 0.61/0.77 tff(2441,plain,
% 0.61/0.77 (select(a_869, i1) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[798, 2417])).
% 0.61/0.77 tff(2442,plain,
% 0.61/0.77 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(a_869, i1)),
% 0.61/0.77 inference(symmetry,[status(thm)],[2441])).
% 0.61/0.77 tff(2443,plain,
% 0.61/0.77 (select(a_848, i1) = e_870),
% 0.61/0.77 inference(transitivity,[status(thm)],[1449, 1448, 2429, 733, 1428, 651, 2427, 116, 113, 135, 101, 515, 2442, 268])).
% 0.61/0.77 tff(2444,plain,
% 0.61/0.77 (store(store(a_867, i2, e_868), i1, select(a_848, i1)) = store(a_869, i1, e_870)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[282, 2443])).
% 0.61/0.77 tff(2445,plain,
% 0.61/0.77 (select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2444])).
% 0.61/0.77 tff(2446,plain,
% 0.61/0.77 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2445])).
% 0.61/0.77 tff(2447,plain,
% 0.61/0.77 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.77 inference(unit_resolution,[status(thm)],[1996, 2439])).
% 0.61/0.77 tff(2448,plain,
% 0.61/0.77 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(a_871, i1, e_870)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[272, 2443])).
% 0.61/0.77 tff(2449,plain,
% 0.61/0.77 (store(store(a_869, i1, e_870), i1, select(a_848, i1)) = store(store(a_869, i1, e_870), i1, select(a_869, i1))),
% 0.61/0.77 inference(transitivity,[status(thm)],[2448, 489])).
% 0.61/0.77 tff(2450,plain,
% 0.61/0.77 (select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2449])).
% 0.61/0.77 tff(2451,plain,
% 0.61/0.77 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2450])).
% 0.61/0.77 tff(2452,plain,
% 0.61/0.77 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.61/0.77 inference(transitivity,[status(thm)],[1354, 2451, 2447, 2446, 2440, 143])).
% 0.61/0.77 tff(2453,plain,
% 0.61/0.77 (store(store(a_872, i5, e_873), i1, select(a_872, i5)) = store(a_874, i2, e_875)),
% 0.61/0.77 inference(monotonicity,[status(thm)],[13, 1414, 9])).
% 0.61/0.77 tff(2454,plain,
% 0.61/0.77 (store(a_874, i2, e_875) = store(store(a_872, i5, e_873), i1, select(a_872, i5))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2453])).
% 0.61/0.77 tff(2455,plain,
% 0.61/0.77 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.61/0.77 inference(monotonicity,[status(thm)],[2454])).
% 0.61/0.77 tff(2456,plain,
% 0.61/0.77 (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.61/0.77 inference(symmetry,[status(thm)],[2455])).
% 0.61/0.77 tff(2457,plain,
% 0.61/0.77 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.61/0.77 inference(rewrite,[status(thm)],[])).
% 0.61/0.77 tff(2458,plain,
% 0.61/0.77 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))))),
% 0.61/0.77 inference(quant_inst,[status(thm)],[])).
% 0.61/0.77 tff(2459,plain,
% 0.61/0.77 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[2458, 2457])).
% 0.61/0.78 tff(2460,plain,
% 0.61/0.78 (select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2459, 55, 170])).
% 0.61/0.78 tff(2461,plain,
% 0.61/0.78 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2460])).
% 0.61/0.78 tff(2462,plain,
% 0.61/0.78 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(2463,plain,
% 0.61/0.78 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))))),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(2464,plain,
% 0.61/0.78 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_859, a_880)) | (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 0.61/0.78 tff(2465,plain,
% 0.61/0.78 (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2464, 55, 170])).
% 0.61/0.78 tff(2466,assumption,(select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2467,plain,
% 0.61/0.78 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2466])).
% 0.61/0.78 tff(2468,assumption,(select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2469,plain,
% 0.61/0.78 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2468])).
% 0.61/0.78 tff(2470,assumption,(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2471,plain,
% 0.61/0.78 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2470])).
% 0.61/0.78 tff(2472,assumption,(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2473,plain,
% 0.61/0.78 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2472])).
% 0.61/0.78 tff(2474,plain,
% 0.61/0.78 (store(a_863, i0, e_864) = store(store(a_861, i5, e_862), i0, select(a_840, i5))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2036])).
% 0.61/0.78 tff(2475,plain,
% 0.61/0.78 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2474])).
% 0.61/0.78 tff(2476,plain,
% 0.61/0.78 (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2475])).
% 0.61/0.78 tff(2477,plain,
% 0.61/0.78 ((i0 = sk(a_859, a_880)) | (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880)))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2040, 55])).
% 0.61/0.78 tff(2478,plain,
% 0.61/0.78 (select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2477, 1155])).
% 0.61/0.78 tff(2479,plain,
% 0.61/0.78 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_840, i5)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2478])).
% 0.61/0.78 tff(2480,plain,
% 0.61/0.78 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[1947])).
% 0.61/0.78 tff(2481,plain,
% 0.61/0.78 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2480])).
% 0.61/0.78 tff(2482,plain,
% 0.61/0.78 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[1709, 1155])).
% 0.61/0.78 tff(2483,plain,
% 0.61/0.78 (store(store(a_840, i0, e_841), i5, select(a_848, i1)) = store(store(a_840, i0, e_841), i5, select(a_840, i0))),
% 0.61/0.78 inference(transitivity,[status(thm)],[2056, 382])).
% 0.61/0.78 tff(2484,plain,
% 0.61/0.78 (select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2483])).
% 0.61/0.78 tff(2485,plain,
% 0.61/0.78 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(store(a_840, i0, e_841), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2484])).
% 0.61/0.78 tff(2486,assumption,(select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2487,plain,
% 0.61/0.78 (store(store(a_850, i1, e_849), i5, select(a_848, i1)) = store(store(a_850, i1, e_849), i5, select(a_851, i2))),
% 0.61/0.78 inference(transitivity,[status(thm)],[2086, 1261])).
% 0.61/0.78 tff(2488,plain,
% 0.61/0.78 (select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2487])).
% 0.61/0.78 tff(2489,plain,
% 0.61/0.78 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(store(a_850, i1, e_849), i5, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2488])).
% 0.61/0.78 tff(2490,assumption,(select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.78 tff(2491,plain,
% 0.61/0.78 (store(store(a_851, i5, e_852), i1, select(a_851, i5)) = store(a_853, i2, e_854)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[431, 1414, 427])).
% 0.61/0.78 tff(2492,plain,
% 0.61/0.78 (select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2491])).
% 0.61/0.78 tff(2493,plain,
% 0.61/0.78 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2492])).
% 0.61/0.78 tff(2494,plain,
% 0.61/0.78 (e_882 = e_883),
% 0.61/0.78 inference(transitivity,[status(thm)],[180, 765, 449, 1637, 1547, 2493, 2490, 1632, 2489, 2083, 1629, 1628, 1614, 1500, 1612, 1478, 2117, 2486, 1609, 2485, 2054, 1712, 2482, 2048, 2481, 2479, 2476, 1384, 1379, 2473, 2007, 2471, 2000, 2469, 1990, 1355, 2026, 1980, 2467, 2456, 1346, 77, 250, 48, 29])).
% 0.61/0.78 tff(2495,plain,
% 0.61/0.78 ($false),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[468, 2494])).
% 0.61/0.78 tff(2496,plain,((i0 = sk(a_859, a_880)) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_872, i5, e_873), i1, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))) | (~(select(store(store(a_842, i5, e_843), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))) | (~(select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(select(store(store(a_851, i5, e_852), i1, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(i2 = i1)) | (i5 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.78 tff(2497,plain,
% 0.61/0.78 (i0 = sk(a_859, a_880)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2496, 2460, 249, 1997, 2004, 2011, 2062, 1552, 2465, 449, 184, 1340])).
% 0.61/0.78 tff(2498,plain,
% 0.61/0.78 (sk(a_859, a_880) = i0),
% 0.61/0.78 inference(symmetry,[status(thm)],[2497])).
% 0.61/0.78 tff(2499,plain,
% 0.61/0.78 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[95, 2498])).
% 0.61/0.78 tff(2500,plain,
% 0.61/0.78 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2499])).
% 0.61/0.78 tff(2501,plain,
% 0.61/0.78 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[821, 2497])).
% 0.61/0.78 tff(2502,plain,
% 0.61/0.78 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2501])).
% 0.61/0.78 tff(2503,plain,
% 0.61/0.78 (e_882 = e_883),
% 0.61/0.78 inference(transitivity,[status(thm)],[180, 765, 449, 1637, 1547, 2493, 2465, 1632, 2489, 2083, 1629, 1628, 1614, 1552, 1612, 1478, 2117, 2062, 1609, 2485, 2054, 2502, 820, 2034, 519, 2500, 1384, 1379, 2012, 2007, 2005, 2000, 1998, 1990, 1355, 2026, 1980, 2461, 2456, 1346, 77, 250, 48, 29])).
% 0.61/0.78 tff(2504,plain,
% 0.61/0.78 ($false),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[468, 2503])).
% 0.61/0.78 tff(2505,plain,((i5 = sk(a_859, a_880)) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(i2 = i1)) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.78 tff(2506,plain,
% 0.61/0.78 (i5 = sk(a_859, a_880)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2505, 60, 1542, 2416, 2439])).
% 0.61/0.78 tff(2507,plain,
% 0.61/0.78 (sk(a_859, a_880) = i5),
% 0.61/0.78 inference(symmetry,[status(thm)],[2506])).
% 0.61/0.78 tff(2508,plain,
% 0.61/0.78 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[801, 2507])).
% 0.61/0.78 tff(2509,plain,
% 0.61/0.78 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2508])).
% 0.61/0.78 tff(2510,plain,
% 0.61/0.78 (select(a_865, i2) = select(store(a_863, i0, e_864), i1)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[98, 2416])).
% 0.61/0.78 tff(2511,plain,
% 0.61/0.78 (select(store(a_863, i0, e_864), i1) = select(a_865, i2)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2510])).
% 0.61/0.78 tff(2512,plain,
% 0.61/0.78 ((i1 = sk(a_859, a_880)) <=> (i1 = i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2507])).
% 0.61/0.78 tff(2513,plain,
% 0.61/0.78 ((i1 = sk(a_859, a_880)) <=> (i5 = i1)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2512, 1558])).
% 0.61/0.78 tff(2514,plain,
% 0.61/0.78 ((~(i1 = sk(a_859, a_880))) <=> (~(i5 = i1))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2513])).
% 0.61/0.78 tff(2515,plain,
% 0.61/0.78 (~(i5 = i1)),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[2439, 2514])).
% 0.61/0.78 tff(2516,plain,
% 0.61/0.78 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_863, i0, e_864), i1)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2143, 2515])).
% 0.61/0.78 tff(2517,plain,
% 0.61/0.78 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1) = select(store(a_865, i5, e_866), i1)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[292])).
% 0.61/0.78 tff(2518,plain,
% 0.61/0.78 (select(store(a_865, i5, e_866), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2517])).
% 0.61/0.78 tff(2519,plain,
% 0.61/0.78 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[490, 2416])).
% 0.61/0.78 tff(2520,plain,
% 0.61/0.78 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(a_872, i5, e_873), i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2507])).
% 0.61/0.78 tff(2521,plain,
% 0.61/0.78 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[1282])).
% 0.61/0.78 tff(2522,plain,
% 0.61/0.78 (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.61/0.78 inference(transitivity,[status(thm)],[2521, 2520, 1284, 1287, 2519, 277, 558, 2136, 2518, 2516, 2511, 296, 2509])).
% 0.61/0.78 tff(2523,plain,
% 0.61/0.78 ((select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))) <=> (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2522, 2452])).
% 0.61/0.78 tff(2524,plain,
% 0.61/0.78 ((select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))) <=> (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.78 inference(transitivity,[status(thm)],[2523, 2436])).
% 0.61/0.78 tff(2525,plain,
% 0.61/0.78 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(a_872, i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[274, 2507])).
% 0.61/0.78 tff(2526,plain,
% 0.61/0.78 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2525])).
% 0.61/0.78 tff(2527,plain,
% 0.61/0.78 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[255, 2507])).
% 0.61/0.78 tff(2528,plain,
% 0.61/0.78 (e_883 = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.61/0.78 inference(transitivity,[status(thm)],[28, 47, 60, 2527, 259, 68, 71, 2526, 1355])).
% 0.61/0.78 tff(2529,plain,
% 0.61/0.78 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2521])).
% 0.61/0.78 tff(2530,plain,
% 0.61/0.78 (select(store(a_872, i5, e_873), i5) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2520])).
% 0.61/0.78 tff(2531,plain,
% 0.61/0.78 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(a_872, i2)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2519])).
% 0.61/0.78 tff(2532,plain,
% 0.61/0.78 (select(store(a_863, i0, e_864), i1) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i1)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2516])).
% 0.61/0.78 tff(2533,plain,
% 0.61/0.78 ((i1 = i0) <=> (i2 = i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2417])).
% 0.61/0.78 tff(2534,plain,
% 0.61/0.78 ((i1 = i0) <=> (i0 = i2)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2533, 211])).
% 0.61/0.78 tff(2535,plain,
% 0.61/0.78 ((~(i1 = i0)) <=> (~(i0 = i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2534])).
% 0.61/0.79 tff(2536,plain,
% 0.61/0.79 (~(i0 = i2)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[81, 2535])).
% 0.61/0.79 tff(2537,plain,
% 0.61/0.79 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[222, 2536])).
% 0.61/0.79 tff(2538,plain,
% 0.61/0.79 (select(store(a_861, i5, e_862), i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2537])).
% 0.61/0.79 tff(2539,plain,
% 0.61/0.79 (select(store(a_861, i5, e_862), i1) = select(store(a_861, i5, e_862), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2417])).
% 0.61/0.79 tff(2540,plain,
% 0.61/0.79 (select(a_848, i1) = e_862),
% 0.61/0.79 inference(transitivity,[status(thm)],[1449, 1448, 2429, 733, 1428, 651, 2427, 105])).
% 0.61/0.79 tff(2541,plain,
% 0.61/0.79 (store(a_838, i1, e_839) = store(a_860, i2, e_837)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2424])).
% 0.61/0.79 tff(2542,plain,
% 0.61/0.79 (store(a_838, i1, e_839) = a_861),
% 0.61/0.79 inference(transitivity,[status(thm)],[2541, 109])).
% 0.61/0.79 tff(2543,plain,
% 0.61/0.79 (store(store(a_838, i1, e_839), i5, select(a_848, i1)) = store(a_861, i5, e_862)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2542, 2540])).
% 0.61/0.79 tff(2544,plain,
% 0.61/0.79 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_861, i5, e_862), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2543])).
% 0.61/0.79 tff(2545,plain,
% 0.61/0.79 (select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1) = select(store(a_838, i1, e_839), i1)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1912, 2515])).
% 0.61/0.79 tff(2546,plain,
% 0.61/0.79 (select(store(a_838, i1, e_839), i1) = select(store(store(a_838, i1, e_839), i5, select(a_848, i1)), i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2545])).
% 0.61/0.79 tff(2547,plain,
% 0.61/0.79 (select(store(a_840, i0, e_841), i2) = select(store(a_840, i0, e_841), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2416])).
% 0.61/0.79 tff(2548,plain,
% 0.61/0.79 ((i5 = i2) <=> (i5 = i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2416])).
% 0.61/0.79 tff(2549,plain,
% 0.61/0.79 ((i5 = i2) <=> (i1 = i5)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2548, 152])).
% 0.61/0.79 tff(2550,plain,
% 0.61/0.79 ((i1 = i5) <=> (i5 = i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2549])).
% 0.61/0.79 tff(2551,plain,
% 0.61/0.79 ((i1 = sk(a_859, a_880)) <=> (i5 = i2)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2512, 2550])).
% 0.61/0.79 tff(2552,plain,
% 0.61/0.79 ((~(i1 = sk(a_859, a_880))) <=> (~(i5 = i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2551])).
% 0.61/0.79 tff(2553,plain,
% 0.61/0.79 (~(i5 = i2)),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[2439, 2552])).
% 0.61/0.79 tff(2554,plain,
% 0.61/0.79 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[242, 2553])).
% 0.61/0.79 tff(2555,plain,
% 0.61/0.79 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[399, 2507])).
% 0.61/0.79 tff(2556,plain,
% 0.61/0.79 (select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1472, 55, 2439])).
% 0.61/0.79 tff(2557,plain,
% 0.61/0.79 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[420, 2506])).
% 0.61/0.79 tff(2558,plain,
% 0.61/0.79 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[447, 2507])).
% 0.61/0.79 tff(2559,plain,
% 0.61/0.79 (e_882 = select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880))),
% 0.61/0.79 inference(transitivity,[status(thm)],[180, 464, 1542, 2558, 440, 438, 423, 2557, 1628, 1503, 2556, 2555, 389, 387, 2554, 2547, 1952, 1919, 2546, 2544, 2539, 2538, 297, 2510, 2532, 2517, 2137, 285, 278, 2531, 1288, 1285, 2530, 2529])).
% 0.61/0.79 tff(2560,plain,
% 0.61/0.79 ((e_882 = e_883) <=> (select(store(store(a_871, i1, e_870), i5, select(a_872, i2)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2559, 2528])).
% 0.61/0.79 tff(2561,plain,
% 0.61/0.79 ((e_882 = e_883) <=> (select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.79 inference(transitivity,[status(thm)],[2560, 2524, 2435])).
% 0.61/0.79 tff(2562,plain,
% 0.61/0.79 ((~(e_882 = e_883)) <=> (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880))))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2561])).
% 0.61/0.79 tff(2563,plain,
% 0.61/0.79 (~(select(store(store(a_865, i5, e_866), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[468, 2562])).
% 0.61/0.79 tff(2564,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2010, 55, 2439, 2563])).
% 0.61/0.79 tff(2565,plain,((i2 = sk(a_859, a_880)) | (i1 = i0)), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2566,plain,
% 0.61/0.79 (i2 = sk(a_859, a_880)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2565, 81])).
% 0.61/0.79 tff(2567,plain,
% 0.61/0.79 (sk(a_859, a_880) = i2),
% 0.61/0.79 inference(symmetry,[status(thm)],[2566])).
% 0.61/0.79 tff(2568,plain,
% 0.61/0.79 (i_881 = i2),
% 0.61/0.79 inference(transitivity,[status(thm)],[32, 2567])).
% 0.61/0.79 tff(2569,plain,
% 0.61/0.79 (select(a_880, i_881) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[46, 2568])).
% 0.61/0.79 tff(2570,plain,
% 0.61/0.79 (select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2) = select(a_880, i_881)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2569])).
% 0.61/0.79 tff(2571,plain,
% 0.61/0.79 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[1497])).
% 0.61/0.79 tff(2572,plain,
% 0.61/0.79 (i5 = sk(a_859, a_880)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2206, 1272])).
% 0.61/0.79 tff(2573,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1340, 2572])).
% 0.61/0.79 tff(2574,plain,((~(i2 = i5)) | (i5 = sk(a_859, a_880)) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2575,plain,
% 0.61/0.79 (~(i2 = i5)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2574, 1340, 1272])).
% 0.61/0.79 tff(2576,plain,
% 0.61/0.79 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1257, 2575])).
% 0.61/0.79 tff(2577,plain,
% 0.61/0.79 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1270, 2575])).
% 0.61/0.79 tff(2578,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1533, 2577, 2576, 812, 1092, 1272, 170, 1340])).
% 0.61/0.79 tff(2579,plain,((i5 = sk(a_859, a_880)) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0))) | (~(i2 = sk(a_859, a_880))) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2580,plain,
% 0.61/0.79 (i5 = sk(a_859, a_880)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2579, 170, 1092, 1272, 812])).
% 0.61/0.79 tff(2581,plain,
% 0.61/0.79 (select(a_844, i5) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[386, 2580])).
% 0.61/0.79 tff(2582,plain,
% 0.61/0.79 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(a_844, i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2581])).
% 0.61/0.79 tff(2583,plain,
% 0.61/0.79 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(a_844, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[824, 1273])).
% 0.61/0.79 tff(2584,plain,
% 0.61/0.79 (select(a_844, i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2583])).
% 0.61/0.79 tff(2585,plain,
% 0.61/0.79 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[398, 2580])).
% 0.61/0.79 tff(2586,plain,
% 0.61/0.79 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2585])).
% 0.61/0.79 tff(2587,plain,
% 0.61/0.79 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.79 inference(transitivity,[status(thm)],[1611, 2586, 389, 2584, 2582, 734, 2571])).
% 0.61/0.79 tff(2588,plain,
% 0.61/0.79 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(a_851, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[830, 1273])).
% 0.61/0.79 tff(2589,plain,
% 0.61/0.79 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[420, 2580])).
% 0.61/0.79 tff(2590,plain,
% 0.61/0.79 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(a_855, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[445, 1273])).
% 0.61/0.79 tff(2591,plain,
% 0.61/0.79 (select(a_855, i5) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[436, 2580])).
% 0.61/0.79 tff(2592,plain,
% 0.61/0.79 (store(store(a_851, i5, e_852), i2, select(a_851, i5)) = a_855),
% 0.61/0.79 inference(transitivity,[status(thm)],[432, 445])).
% 0.61/0.79 tff(2593,plain,
% 0.61/0.79 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(a_855, i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2592])).
% 0.61/0.79 tff(2594,plain,
% 0.61/0.79 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), i5) = select(store(a_851, i5, e_852), i5)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2593, 2591, 2590, 438, 423, 2589, 2588, 1266, 1263])).
% 0.61/0.79 tff(2595,plain,
% 0.61/0.79 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(a_872, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[274, 1273])).
% 0.61/0.79 tff(2596,plain,
% 0.61/0.79 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[490, 2580])).
% 0.61/0.79 tff(2597,plain,
% 0.61/0.79 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(a_876, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[5, 1273])).
% 0.61/0.79 tff(2598,plain,
% 0.61/0.79 (select(a_876, i5) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[4, 2580])).
% 0.61/0.79 tff(2599,plain,
% 0.61/0.79 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.61/0.79 inference(transitivity,[status(thm)],[16, 2598, 2597, 68, 71, 2596, 2595, 1288, 1285])).
% 0.61/0.79 tff(2600,plain,
% 0.61/0.79 (i2 = i0),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1530, 2599, 1272, 1474, 812, 1092, 1469, 2594, 2587])).
% 0.61/0.79 tff(2601,plain,
% 0.61/0.79 (i0 = i2),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[2600, 211])).
% 0.61/0.79 tff(2602,plain,
% 0.61/0.79 (~(i0 = i2)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1520, 2599, 1272, 1474, 812, 1469, 2587, 2594])).
% 0.61/0.79 tff(2603,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2602, 2601])).
% 0.61/0.79 tff(2604,plain,((i1 = sk(a_859, a_880)) | (~(i2 = sk(a_859, a_880))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i0) = select(store(a_836, i2, e_837), i0))) | (~(select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i0) = select(store(a_834, i3, e_835), i0)))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2605,plain,
% 0.61/0.79 (i1 = sk(a_859, a_880)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2604, 2566, 1391, 1390])).
% 0.61/0.79 tff(2606,plain,
% 0.61/0.79 (i2 = i1),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1539, 2605, 2566])).
% 0.61/0.79 tff(2607,plain,
% 0.61/0.79 (i2 = i5),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1459, 2606, 2566])).
% 0.61/0.79 tff(2608,plain,
% 0.61/0.79 (i5 = i2),
% 0.61/0.79 inference(symmetry,[status(thm)],[2607])).
% 0.61/0.79 tff(2609,plain,
% 0.61/0.79 (i5 = sk(a_859, a_880)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2608, 2566])).
% 0.61/0.79 tff(2610,plain,
% 0.61/0.79 (select(a_876, i5) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[4, 2609])).
% 0.61/0.79 tff(2611,plain,
% 0.61/0.79 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(a_876, i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2610])).
% 0.61/0.79 tff(2612,plain,
% 0.61/0.79 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(a_876, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[5, 2567])).
% 0.61/0.79 tff(2613,plain,
% 0.61/0.79 (select(a_876, i2) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2612])).
% 0.61/0.79 tff(2614,plain,
% 0.61/0.79 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[490, 2609])).
% 0.61/0.79 tff(2615,plain,
% 0.61/0.79 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(a_872, i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2614])).
% 0.61/0.79 tff(2616,plain,
% 0.61/0.79 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(a_872, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[274, 2567])).
% 0.61/0.79 tff(2617,plain,
% 0.61/0.79 (select(a_872, i2) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2616])).
% 0.61/0.79 tff(2618,plain,
% 0.61/0.79 (select(store(a_869, i1, e_870), i2) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2566])).
% 0.61/0.79 tff(2619,plain,
% 0.61/0.79 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(a_869, i1, e_870), i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2618])).
% 0.61/0.79 tff(2620,plain,
% 0.61/0.79 (sk(a_859, a_880) = i1),
% 0.61/0.79 inference(symmetry,[status(thm)],[2605])).
% 0.61/0.79 tff(2621,plain,
% 0.61/0.79 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[1362, 2620])).
% 0.61/0.79 tff(2622,plain,
% 0.61/0.79 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2621])).
% 0.61/0.79 tff(2623,plain,
% 0.61/0.79 (select(a_869, i1) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[281, 2605])).
% 0.61/0.79 tff(2624,plain,
% 0.61/0.79 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(a_869, i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2623])).
% 0.61/0.79 tff(2625,plain,
% 0.61/0.79 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[510, 2567])).
% 0.61/0.79 tff(2626,plain,
% 0.61/0.79 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2625])).
% 0.61/0.79 tff(2627,plain,
% 0.61/0.79 (select(a_836, i1) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[320, 2605])).
% 0.61/0.79 tff(2628,plain,
% 0.61/0.79 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(a_836, i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2627])).
% 0.61/0.79 tff(2629,plain,
% 0.61/0.79 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(a_836, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[321, 2567])).
% 0.61/0.79 tff(2630,plain,
% 0.61/0.79 (select(a_836, i2) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2629])).
% 0.61/0.79 tff(2631,plain,
% 0.61/0.79 (e_839 = e_837),
% 0.61/0.79 inference(transitivity,[status(thm)],[150, 2630, 2628, 306])).
% 0.61/0.79 tff(2632,plain,
% 0.61/0.79 (i1 = i2),
% 0.61/0.79 inference(transitivity,[status(thm)],[2605, 2567])).
% 0.61/0.79 tff(2633,plain,
% 0.61/0.79 (e_837 = e_839),
% 0.61/0.79 inference(transitivity,[status(thm)],[305, 2627, 2629, 151])).
% 0.61/0.79 tff(2634,plain,
% 0.61/0.79 (i2 = i1),
% 0.61/0.79 inference(transitivity,[status(thm)],[2566, 2620])).
% 0.61/0.79 tff(2635,plain,
% 0.61/0.79 (store(a_836, i2, e_837) = store(a_836, i1, e_839)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2634, 2633])).
% 0.61/0.79 tff(2636,plain,
% 0.61/0.79 (a_838 = a_860),
% 0.61/0.79 inference(transitivity,[status(thm)],[333, 2635, 310])).
% 0.61/0.79 tff(2637,plain,
% 0.61/0.79 (store(a_838, i1, e_839) = store(a_860, i2, e_837)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2636, 2632, 2631])).
% 0.61/0.79 tff(2638,plain,
% 0.61/0.79 (a_840 = a_861),
% 0.61/0.79 inference(transitivity,[status(thm)],[146, 2637, 109])).
% 0.61/0.79 tff(2639,plain,
% 0.61/0.79 (select(a_840, i0) = select(a_861, i0)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2638])).
% 0.61/0.79 tff(2640,plain,
% 0.61/0.79 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[729, 2567])).
% 0.61/0.79 tff(2641,plain,
% 0.61/0.79 (select(store(a_844, i2, e_845), i1) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2605])).
% 0.61/0.79 tff(2642,plain,
% 0.61/0.79 (select(a_848, i1) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[403])).
% 0.61/0.79 tff(2643,plain,
% 0.61/0.79 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[1502, 2620])).
% 0.61/0.79 tff(2644,plain,
% 0.61/0.79 (select(store(a_848, i1, e_849), i2) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2566])).
% 0.61/0.79 tff(2645,plain,
% 0.61/0.79 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(a_851, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[830, 2567])).
% 0.61/0.79 tff(2646,plain,
% 0.61/0.79 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[420, 2609])).
% 0.61/0.79 tff(2647,plain,
% 0.61/0.79 (select(store(a_853, i2, e_854), sk(a_859, a_880)) = select(a_855, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[445, 2567])).
% 0.61/0.79 tff(2648,plain,
% 0.61/0.79 (select(a_855, i5) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[436, 2609])).
% 0.61/0.79 tff(2649,plain,
% 0.61/0.79 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[463, 2568])).
% 0.61/0.79 tff(2650,plain,
% 0.61/0.79 (e_882 = e_883),
% 0.61/0.79 inference(transitivity,[status(thm)],[180, 2649, 1250, 2648, 2647, 438, 423, 2646, 2645, 700, 1517, 2644, 2643, 1511, 2642, 1448, 2641, 2640, 733, 648, 651, 2639, 116, 113, 135, 101, 515, 2626, 2624, 1486, 2622, 2619, 1491, 492, 2617, 2615, 72, 69, 2613, 2611, 1277, 2570, 29])).
% 0.61/0.79 tff(2651,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[468, 2650])).
% 0.61/0.79 tff(2652,plain,(i1 = i0), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2653,plain,
% 0.61/0.79 ((i1 = i2) <=> (i0 = i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2652])).
% 0.61/0.79 tff(2654,plain,
% 0.61/0.79 ((i1 = i2) <=> (i2 = i0)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2653, 80])).
% 0.61/0.79 tff(2655,plain,
% 0.61/0.79 ((i2 = i0) <=> (i1 = i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2654])).
% 0.61/0.79 tff(2656,plain,
% 0.61/0.79 (~(i2 = i1)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2505, 1340, 236, 60, 170])).
% 0.61/0.79 tff(2657,plain,
% 0.61/0.79 (~(i1 = i2)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[157, 2656])).
% 0.61/0.79 tff(2658,plain,
% 0.61/0.79 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1852, 2657])).
% 0.61/0.79 tff(2659,plain,
% 0.61/0.79 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2658])).
% 0.61/0.79 tff(2660,plain,
% 0.61/0.79 (select(a_861, i0) = e_873),
% 0.61/0.79 inference(transitivity,[status(thm)],[116, 113, 135, 101, 515, 512, 2659, 1848, 1491, 492, 488])).
% 0.61/0.79 tff(2661,plain,
% 0.61/0.79 (store(store(a_871, i1, e_870), i5, select(a_861, i0)) = store(a_872, i5, e_873)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[264, 2660])).
% 0.61/0.79 tff(2662,plain,
% 0.61/0.79 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_861, i0))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2661])).
% 0.61/0.79 tff(2663,plain,
% 0.61/0.79 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2662])).
% 0.61/0.79 tff(2664,plain,
% 0.61/0.79 (select(store(store(a_871, i1, e_870), i5, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2663])).
% 0.61/0.79 tff(2665,plain,
% 0.61/0.79 (i0 = i1),
% 0.61/0.79 inference(symmetry,[status(thm)],[2652])).
% 0.61/0.79 tff(2666,plain,
% 0.61/0.79 (store(store(a_869, i1, e_870), i0, select(a_869, i1)) = store(a_871, i1, e_870)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[272, 2665, 268])).
% 0.61/0.79 tff(2667,plain,
% 0.61/0.79 (store(a_871, i1, e_870) = store(store(a_869, i1, e_870), i0, select(a_869, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2666])).
% 0.61/0.79 tff(2668,plain,
% 0.61/0.79 (store(store(a_869, i1, e_870), i1, select(a_869, i1)) = store(store(a_869, i1, e_870), i0, select(a_869, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[273, 2667])).
% 0.61/0.80 tff(2669,plain,
% 0.61/0.80 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2668])).
% 0.61/0.80 tff(2670,plain,
% 0.61/0.80 (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2669])).
% 0.61/0.80 tff(2671,plain,
% 0.61/0.80 ((i1 = sk(a_859, a_880)) <=> (i0 = sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2652])).
% 0.61/0.80 tff(2672,plain,
% 0.61/0.80 ((i0 = sk(a_859, a_880)) <=> (i1 = sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2671])).
% 0.61/0.80 tff(2673,plain,
% 0.61/0.80 (i1 = sk(a_859, a_880)),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[1591, 2672])).
% 0.61/0.80 tff(2674,plain,
% 0.61/0.80 ($false),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[170, 2673])).
% 0.61/0.80 tff(2675,plain,((~(i0 = sk(a_859, a_880))) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.80 tff(2676,plain,
% 0.61/0.80 (~(i0 = sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2675, 170])).
% 0.61/0.80 tff(2677,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2678,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2679,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 0.61/0.80 tff(2680,plain,
% 0.61/0.80 (select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2679, 55, 2676])).
% 0.61/0.80 tff(2681,plain,
% 0.61/0.80 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i0, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2680])).
% 0.61/0.80 tff(2682,plain,
% 0.61/0.80 (store(store(a_867, i2, e_868), i0, select(a_869, i1)) = store(a_869, i1, e_870)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[282, 2665, 268])).
% 0.61/0.80 tff(2683,plain,
% 0.61/0.80 (store(a_869, i1, e_870) = store(store(a_867, i2, e_868), i0, select(a_869, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2682])).
% 0.61/0.80 tff(2684,plain,
% 0.61/0.80 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2683])).
% 0.61/0.80 tff(2685,plain,
% 0.61/0.80 (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2684])).
% 0.61/0.80 tff(2686,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2687,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2688,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 0.61/0.80 tff(2689,plain,
% 0.61/0.80 (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2688, 55, 2676])).
% 0.61/0.80 tff(2690,plain,
% 0.61/0.80 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2689])).
% 0.61/0.80 tff(2691,plain,
% 0.61/0.80 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880)) = select(store(a_861, i5, e_862), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[1644, 55, 2676])).
% 0.61/0.80 tff(2692,plain,
% 0.61/0.80 (select(store(a_861, i5, e_862), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2691])).
% 0.61/0.80 tff(2693,plain,
% 0.61/0.80 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_840, i0)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[336, 2652])).
% 0.61/0.80 tff(2694,plain,
% 0.61/0.80 (select(a_840, i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2693])).
% 0.61/0.80 tff(2695,plain,
% 0.61/0.80 (select(a_840, i0) = e_839),
% 0.61/0.80 inference(transitivity,[status(thm)],[2694, 330, 151])).
% 0.61/0.80 tff(2696,plain,
% 0.61/0.80 (store(store(a_834, i3, e_835), i0, select(a_840, i0)) = store(a_836, i1, e_839)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[321, 2665, 2695])).
% 0.61/0.80 tff(2697,plain,
% 0.61/0.80 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), i0, select(a_840, i0))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2696])).
% 0.61/0.80 tff(2698,plain,
% 0.61/0.80 (select(store(a_836, i1, e_839), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2697])).
% 0.61/0.80 tff(2699,plain,
% 0.61/0.80 (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2698])).
% 0.61/0.80 tff(2700,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2701,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2702,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 0.61/0.80 tff(2703,plain,
% 0.61/0.80 (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2702, 55, 2676])).
% 0.61/0.80 tff(2704,plain,
% 0.61/0.80 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2703])).
% 0.61/0.80 tff(2705,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2706,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2707,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 0.61/0.80 tff(2708,plain,
% 0.61/0.80 (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i2, e_837), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2707, 55, 2676])).
% 0.61/0.80 tff(2709,plain,
% 0.61/0.80 (store(store(a_836, i2, e_837), i1, select(a_840, i0)) = store(a_838, i1, e_839)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[334, 2695])).
% 0.61/0.80 tff(2710,plain,
% 0.61/0.80 (store(store(a_836, i2, e_837), i0, select(a_840, i0)) = store(store(a_836, i2, e_837), i1, select(a_840, i0))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2665])).
% 0.61/0.80 tff(2711,plain,
% 0.61/0.80 (store(store(a_836, i2, e_837), i0, select(a_840, i0)) = store(a_838, i1, e_839)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2710, 2709])).
% 0.61/0.80 tff(2712,plain,
% 0.61/0.80 (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2711])).
% 0.61/0.80 tff(2713,plain,
% 0.61/0.80 (select(store(a_838, i1, e_839), sk(a_859, a_880)) = select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2712])).
% 0.61/0.80 tff(2714,plain,
% 0.61/0.80 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), sk(a_859, a_880)) = select(store(a_838, i1, e_839), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[1708, 55, 2676])).
% 0.61/0.80 tff(2715,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2716,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2717,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 0.61/0.80 tff(2718,plain,
% 0.61/0.80 (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2717, 55, 2676])).
% 0.61/0.80 tff(2719,plain,
% 0.61/0.80 (store(store(a_846, i5, e_847), i0, select(a_848, i1)) = store(a_848, i1, e_849)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[681, 2665, 410])).
% 0.61/0.80 tff(2720,plain,
% 0.61/0.80 (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2719])).
% 0.61/0.80 tff(2721,plain,
% 0.61/0.80 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2720])).
% 0.61/0.80 tff(2722,plain,
% 0.61/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(2723,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2724,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = sk(a_859, a_880)) | (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 0.61/0.80 tff(2725,plain,
% 0.61/0.80 (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2724, 55, 2676])).
% 0.61/0.80 tff(2726,plain,
% 0.61/0.80 (store(store(a_848, i1, e_849), i0, select(a_848, i1)) = store(a_850, i1, e_849)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[414, 2665, 410])).
% 0.61/0.80 tff(2727,plain,
% 0.61/0.80 (store(store(a_848, i1, e_849), i0, select(a_848, i1)) = store(store(a_848, i1, e_849), i1, select(a_848, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[2726, 416])).
% 0.61/0.80 tff(2728,plain,
% 0.61/0.80 (select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2727])).
% 0.61/0.80 tff(2729,plain,
% 0.61/0.80 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i0, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2728])).
% 0.61/0.80 tff(2730,plain,
% 0.61/0.80 (e_882 = e_883),
% 0.61/0.80 inference(transitivity,[status(thm)],[180, 765, 236, 1637, 1547, 1033, 1031, 1632, 1551, 1629, 2729, 2725, 2721, 2718, 1612, 1478, 657, 643, 1609, 1556, 1712, 2714, 2713, 2708, 1698, 1696, 2704, 2699, 1661, 1656, 1654, 1649, 2692, 1386, 1384, 1379, 1377, 1372, 2690, 2685, 2681, 2670, 1355, 2220, 2664, 484, 479, 1346, 77, 61, 48, 29])).
% 0.61/0.80 tff(2731,plain,
% 0.61/0.80 ($false),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[468, 2730])).
% 0.61/0.80 tff(2732,plain,((i5 = sk(a_859, a_880)) | (i2 = sk(a_859, a_880)) | (i1 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.80 tff(2733,plain,
% 0.61/0.80 (i5 = sk(a_859, a_880)),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2732, 170, 49])).
% 0.61/0.80 tff(2734,plain,
% 0.61/0.80 (sk(a_859, a_880) = i5),
% 0.61/0.80 inference(symmetry,[status(thm)],[2733])).
% 0.61/0.80 tff(2735,plain,
% 0.61/0.80 (select(store(a_876, i5, e_877), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[255, 2734])).
% 0.61/0.80 tff(2736,plain,
% 0.61/0.80 (select(store(store(a_874, i2, e_875), i5, select(a_876, i2)), i5) = select(store(a_876, i5, e_877), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2735])).
% 0.61/0.81 tff(2737,plain,
% 0.61/0.81 ((i0 = i5) <=> (i1 = i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2665])).
% 0.61/0.81 tff(2738,plain,
% 0.61/0.81 ((i0 = sk(a_859, a_880)) <=> (i0 = i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2734])).
% 0.61/0.81 tff(2739,plain,
% 0.61/0.81 ((i0 = sk(a_859, a_880)) <=> (i1 = i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2738, 2737])).
% 0.61/0.81 tff(2740,plain,
% 0.61/0.81 ((~(i0 = sk(a_859, a_880))) <=> (~(i1 = i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2739])).
% 0.61/0.81 tff(2741,plain,
% 0.61/0.81 (~(i1 = i5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[2676, 2740])).
% 0.61/0.81 tff(2742,plain,
% 0.61/0.81 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[1750, 2741])).
% 0.61/0.81 tff(2743,plain,
% 0.61/0.81 (select(store(a_869, i1, e_870), i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2742])).
% 0.61/0.81 tff(2744,plain,
% 0.61/0.81 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(a_869, i1, e_870), i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2734])).
% 0.61/0.81 tff(2745,plain,
% 0.61/0.81 (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2682])).
% 0.61/0.81 tff(2746,plain,
% 0.61/0.81 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[292, 2733])).
% 0.61/0.81 tff(2747,plain,
% 0.61/0.81 ((i0 = i2) <=> (i2 = i1)),
% 0.61/0.81 inference(transitivity,[status(thm)],[80, 2655, 79])).
% 0.61/0.81 tff(2748,assumption,(select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.81 tff(2749,plain,
% 0.61/0.81 ((i2 = sk(a_859, a_880)) <=> (i2 = i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1758])).
% 0.61/0.81 tff(2750,plain,
% 0.61/0.81 ((i2 = sk(a_859, a_880)) <=> (i5 = i2)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2749, 199])).
% 0.61/0.81 tff(2751,plain,
% 0.61/0.81 ((~(i2 = sk(a_859, a_880))) <=> (~(i5 = i2))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2750])).
% 0.61/0.81 tff(2752,plain,
% 0.61/0.81 (~(i5 = i2)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[49, 2751])).
% 0.61/0.81 tff(2753,plain,
% 0.61/0.81 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[242, 2752])).
% 0.61/0.81 tff(2754,assumption,(select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.81 tff(2755,plain,
% 0.61/0.81 (select(store(a_869, i1, e_870), i5) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1757])).
% 0.61/0.81 tff(2756,plain,
% 0.61/0.81 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(a_869, i1, e_870), i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2755])).
% 0.61/0.81 tff(2757,plain,
% 0.61/0.81 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2754])).
% 0.61/0.81 tff(2758,plain,
% 0.61/0.81 (select(a_861, i0) = e_868),
% 0.61/0.81 inference(transitivity,[status(thm)],[116, 909, 135, 131, 85])).
% 0.61/0.81 tff(2759,plain,
% 0.61/0.81 (store(store(a_865, i5, e_866), i2, select(a_861, i0)) = store(a_867, i2, e_868)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[140, 2758])).
% 0.61/0.81 tff(2760,plain,
% 0.61/0.81 (store(a_867, i2, e_868) = store(store(a_865, i5, e_866), i2, select(a_861, i0))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2759])).
% 0.61/0.81 tff(2761,plain,
% 0.61/0.81 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2760])).
% 0.61/0.81 tff(2762,plain,
% 0.61/0.81 (select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2761])).
% 0.61/0.81 tff(2763,plain,
% 0.61/0.81 (select(store(a_865, i5, e_866), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[801, 1758])).
% 0.61/0.81 tff(2764,plain,
% 0.61/0.81 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), i5) = select(store(a_865, i5, e_866), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2763])).
% 0.61/0.81 tff(2765,assumption,(~(i0 = i2)), introduced(assumption)).
% 0.61/0.81 tff(2766,plain,
% 0.61/0.81 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[222, 2765])).
% 0.61/0.81 tff(2767,plain,
% 0.61/0.81 (select(store(a_861, i5, e_862), i2) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2766])).
% 0.61/0.81 tff(2768,plain,
% 0.61/0.81 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_869, i1, e_870), i2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1361])).
% 0.61/0.81 tff(2769,plain,
% 0.61/0.81 (select(store(a_869, i1, e_870), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2768])).
% 0.61/0.81 tff(2770,plain,
% 0.61/0.81 (select(a_872, i2) = e_862),
% 0.61/0.81 inference(transitivity,[status(thm)],[878, 1490, 2769, 2209, 872, 514, 911, 134, 910, 115, 105])).
% 0.61/0.81 tff(2771,plain,
% 0.61/0.81 (store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)) = store(a_861, i5, e_862)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[109, 1758, 2770])).
% 0.61/0.81 tff(2772,plain,
% 0.61/0.81 (store(a_861, i5, e_862) = store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2771])).
% 0.61/0.81 tff(2773,plain,
% 0.61/0.81 (select(store(a_861, i5, e_862), i2) = select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2772])).
% 0.61/0.81 tff(2774,plain,
% 0.61/0.81 (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_861, i5, e_862), i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2773])).
% 0.61/0.81 tff(2775,assumption,(~(sk(a_859, a_880) = i2)), introduced(assumption)).
% 0.61/0.81 tff(2776,plain,
% 0.61/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(2777,plain,
% 0.61/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(2778,plain,
% 0.61/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i2) | (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 0.61/0.81 tff(2779,plain,
% 0.61/0.81 (select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2) = select(store(a_860, i2, e_837), i2)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[2778, 55, 2775])).
% 0.61/0.81 tff(2780,plain,
% 0.61/0.81 (select(store(a_860, i2, e_837), i2) = select(store(store(a_860, i2, e_837), sk(a_859, a_880), select(a_872, i2)), i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2779])).
% 0.61/0.81 tff(2781,plain,
% 0.61/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.61/0.81 inference(rewrite,[status(thm)],[])).
% 0.61/0.81 tff(2782,plain,
% 0.61/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i0 = i2) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)))),
% 0.61/0.81 inference(quant_inst,[status(thm)],[])).
% 0.61/0.81 tff(2783,plain,
% 0.61/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i0 = i2) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 0.61/0.81 tff(2784,plain,
% 0.61/0.81 (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_836, i2, e_837), i2)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[2783, 55, 2765])).
% 0.61/0.81 tff(2785,plain,
% 0.61/0.81 (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2711])).
% 0.61/0.81 tff(2786,plain,
% 0.61/0.81 (select(store(a_838, i1, e_839), i2) = select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2785])).
% 0.61/0.81 tff(2787,plain,
% 0.61/0.81 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i2) = select(store(a_838, i1, e_839), i2)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[1821, 2765])).
% 0.61/0.81 tff(2788,plain,
% 0.61/0.81 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[398, 1757])).
% 0.61/0.81 tff(2789,plain,
% 0.61/0.81 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2788])).
% 0.61/0.81 tff(2790,plain,
% 0.61/0.81 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(a_848, i1, e_849), i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1758])).
% 0.61/0.81 tff(2791,plain,
% 0.61/0.81 (select(store(a_848, i1, e_849), i5) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2790])).
% 0.61/0.81 tff(2792,plain,
% 0.61/0.81 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(a_851, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[830, 1758])).
% 0.61/0.81 tff(2793,plain,
% 0.61/0.81 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2792])).
% 0.61/0.81 tff(2794,plain,
% 0.61/0.81 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.81 inference(transitivity,[status(thm)],[1792, 2793])).
% 0.61/0.81 tff(2795,plain,
% 0.61/0.81 ((select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)) <=> (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2794, 2791])).
% 0.61/0.81 tff(2796,plain,
% 0.61/0.81 ((select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))) <=> (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2795])).
% 0.61/0.81 tff(2797,plain,
% 0.61/0.81 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[1628, 2796])).
% 0.61/0.81 tff(2798,plain,
% 0.61/0.81 (e_882 = e_883),
% 0.61/0.81 inference(transitivity,[status(thm)],[180, 464, 449, 1794, 440, 438, 423, 1793, 2797, 2791, 2721, 2748, 2789, 389, 826, 372, 1824, 2787, 2786, 2784, 1062, 349, 347, 1060, 2780, 2774, 2767, 805, 296, 2764, 1588, 2762, 2757, 2685, 2756, 1764, 1762, 72, 69, 260, 1760, 250, 48, 29])).
% 0.61/0.81 tff(2799,plain,
% 0.61/0.81 ($false),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[468, 2798])).
% 0.61/0.81 tff(2800,plain,((i0 = i2) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2))) | (~(select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))) | (~(i5 = sk(a_859, a_880))) | (sk(a_859, a_880) = i2)), inference(lemma,lemma(discharge,[]))).
% 0.61/0.81 tff(2801,plain,
% 0.61/0.81 (i0 = i2),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[2800, 2399, 60, 1763, 2754, 1376, 2753, 2748, 236, 1757, 174])).
% 0.61/0.81 tff(2802,plain,
% 0.61/0.81 (i2 = i1),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[2801, 2747])).
% 0.61/0.81 tff(2803,plain,
% 0.61/0.81 ($false),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[153, 2802])).
% 0.61/0.81 tff(2804,plain,((i2 = i1) | (~(select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5))) | (~(select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))) | (~(i5 = sk(a_859, a_880))) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.81 tff(2805,plain,
% 0.61/0.81 (i2 = i1),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[2804, 2742, 2689, 2718, 2733, 49])).
% 0.61/0.81 tff(2806,plain,
% 0.61/0.81 (i1 = i2),
% 0.61/0.81 inference(symmetry,[status(thm)],[2805])).
% 0.61/0.81 tff(2807,plain,
% 0.61/0.81 (i0 = i2),
% 0.61/0.81 inference(transitivity,[status(thm)],[2665, 2806])).
% 0.61/0.81 tff(2808,plain,
% 0.61/0.81 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(a_865, i2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[130, 2807])).
% 0.61/0.81 tff(2809,plain,
% 0.61/0.81 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(a_861, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[922])).
% 0.61/0.81 tff(2810,plain,
% 0.61/0.81 ((i2 = sk(a_859, a_880)) <=> (i2 = i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2734])).
% 0.61/0.81 tff(2811,plain,
% 0.61/0.81 ((i2 = sk(a_859, a_880)) <=> (i5 = i2)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2810, 199])).
% 0.61/0.81 tff(2812,plain,
% 0.61/0.81 ((i2 = sk(a_859, a_880)) <=> (i2 = i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2811, 200])).
% 0.61/0.81 tff(2813,plain,
% 0.61/0.81 ((~(i2 = sk(a_859, a_880))) <=> (~(i2 = i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2812])).
% 0.61/0.81 tff(2814,plain,
% 0.61/0.81 (~(i2 = i5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[49, 2813])).
% 0.61/0.81 tff(2815,plain,
% 0.61/0.81 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5) = select(store(a_836, i1, e_839), i5)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[209, 2814])).
% 0.61/0.81 tff(2816,plain,
% 0.61/0.81 (select(store(a_836, i1, e_839), i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2815])).
% 0.61/0.81 tff(2817,plain,
% 0.61/0.81 (select(store(store(a_834, i3, e_835), i0, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_836, i1, e_839), i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2696, 2734])).
% 0.61/0.81 tff(2818,plain,
% 0.61/0.81 (select(store(a_836, i2, e_837), i5) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), sk(a_859, a_880))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[351, 2733])).
% 0.61/0.81 tff(2819,plain,
% 0.61/0.81 ((~(i0 = sk(a_859, a_880))) <=> (~(i0 = i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2738])).
% 0.61/0.81 tff(2820,plain,
% 0.61/0.81 (~(i0 = i5)),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[2676, 2819])).
% 0.61/0.81 tff(2821,plain,
% 0.61/0.81 (((~![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_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), 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_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), i5)))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(2822,plain,
% 0.61/0.82 ((~![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_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), i5)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(2823,plain,
% 0.61/0.82 ((~![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_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), i5))),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[2822, 2821])).
% 0.61/0.82 tff(2824,plain,
% 0.61/0.82 ((i0 = i5) | (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), i5))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2823, 55])).
% 0.61/0.82 tff(2825,plain,
% 0.61/0.82 (select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i5) = select(store(a_836, i2, e_837), i5)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2824, 2820])).
% 0.61/0.82 tff(2826,plain,
% 0.61/0.82 (store(store(a_836, i2, e_837), i1, select(a_840, i0)) = store(store(a_836, i2, e_837), i0, select(a_840, i0))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2710])).
% 0.61/0.82 tff(2827,plain,
% 0.61/0.82 (store(a_838, i1, e_839) = store(store(a_836, i2, e_837), i1, select(a_840, i0))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2709])).
% 0.61/0.82 tff(2828,plain,
% 0.61/0.82 (a_840 = store(store(a_836, i2, e_837), i0, select(a_840, i0))),
% 0.61/0.82 inference(transitivity,[status(thm)],[146, 2827, 2826])).
% 0.61/0.82 tff(2829,plain,
% 0.61/0.82 (select(a_840, i5) = select(store(store(a_836, i2, e_837), i0, select(a_840, i0)), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2828])).
% 0.61/0.82 tff(2830,plain,
% 0.61/0.82 (i2 = i0),
% 0.61/0.82 inference(transitivity,[status(thm)],[2805, 2652])).
% 0.61/0.82 tff(2831,plain,
% 0.61/0.82 (select(store(a_840, i0, e_841), i2) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[1951, 2830])).
% 0.61/0.82 tff(2832,plain,
% 0.61/0.82 ((~(i2 = sk(a_859, a_880))) <=> (~(i5 = i2))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2811])).
% 0.61/0.82 tff(2833,plain,
% 0.61/0.82 (~(i5 = i2)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[49, 2832])).
% 0.61/0.82 tff(2834,plain,
% 0.61/0.82 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), i2) = select(store(a_840, i0, e_841), i2)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[242, 2833])).
% 0.61/0.82 tff(2835,plain,
% 0.61/0.82 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[399, 2734])).
% 0.61/0.82 tff(2836,plain,
% 0.61/0.82 (store(a_848, i1, e_849) = store(store(a_846, i5, e_847), i0, select(a_848, i1))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2719])).
% 0.61/0.82 tff(2837,plain,
% 0.61/0.82 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2836])).
% 0.61/0.82 tff(2838,plain,
% 0.61/0.82 (select(store(a_848, i1, e_849), i5) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2733])).
% 0.61/0.82 tff(2839,plain,
% 0.61/0.82 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(a_851, i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[830, 2734])).
% 0.61/0.82 tff(2840,plain,
% 0.61/0.82 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2839])).
% 0.61/0.82 tff(2841,plain,
% 0.61/0.82 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.61/0.82 inference(transitivity,[status(thm)],[2093, 2840])).
% 0.61/0.82 tff(2842,plain,
% 0.61/0.82 ((select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)) <=> (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880)))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2841, 2838])).
% 0.61/0.82 tff(2843,plain,
% 0.61/0.82 ((select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_848, i1, e_849), sk(a_859, a_880))) <=> (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2842])).
% 0.61/0.82 tff(2844,plain,
% 0.61/0.82 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i5) = select(store(a_848, i1, e_849), i5)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[1628, 2843])).
% 0.61/0.82 tff(2845,plain,
% 0.61/0.82 (select(store(a_855, i5, e_856), sk(a_859, a_880)) = select(store(store(a_853, i2, e_854), i5, select(a_855, i2)), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[447, 2734])).
% 0.61/0.82 tff(2846,plain,
% 0.61/0.82 (e_882 = e_883),
% 0.61/0.82 inference(transitivity,[status(thm)],[180, 464, 236, 2845, 440, 438, 423, 1956, 2844, 2838, 2837, 2718, 2835, 389, 387, 2834, 2831, 820, 2829, 2825, 2818, 1696, 2704, 2817, 2816, 2809, 519, 2808, 296, 2746, 1377, 142, 2690, 2745, 2744, 2743, 1806, 72, 69, 260, 2736, 61, 48, 29])).
% 0.61/0.82 tff(2847,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[468, 2846])).
% 0.61/0.82 tff(2848,plain,((i1 = sk(a_859, a_880)) | (i2 = sk(a_859, a_880))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.82 tff(2849,plain,
% 0.61/0.82 (i1 = sk(a_859, a_880)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2848, 49])).
% 0.61/0.82 tff(2850,plain,
% 0.61/0.82 (sk(a_859, a_880) = i1),
% 0.61/0.82 inference(symmetry,[status(thm)],[2849])).
% 0.61/0.82 tff(2851,plain,
% 0.61/0.82 (sk(a_859, a_880) = i0),
% 0.61/0.82 inference(transitivity,[status(thm)],[2850, 2652])).
% 0.61/0.82 tff(2852,plain,
% 0.61/0.82 ((i2 = sk(a_859, a_880)) <=> (i2 = i0)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2851])).
% 0.61/0.82 tff(2853,plain,
% 0.61/0.82 ((i2 = sk(a_859, a_880)) <=> (i2 = i1)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2852, 2655, 79])).
% 0.61/0.82 tff(2854,plain,
% 0.61/0.82 ((~(i2 = sk(a_859, a_880))) <=> (~(i2 = i1))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2853])).
% 0.61/0.82 tff(2855,plain,
% 0.61/0.82 (~(i2 = i1)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[49, 2854])).
% 0.61/0.82 tff(2856,plain,
% 0.61/0.82 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(a_848, i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[681, 2850])).
% 0.61/0.82 tff(2857,plain,
% 0.61/0.82 (select(a_848, i1) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2856])).
% 0.61/0.82 tff(2858,plain,
% 0.61/0.82 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[1502, 2850])).
% 0.61/0.82 tff(2859,plain,
% 0.61/0.82 (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.61/0.82 inference(transitivity,[status(thm)],[2720, 2858, 1511, 2857])).
% 0.61/0.82 tff(2860,plain,
% 0.61/0.82 (select(a_869, i1) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[281, 2849])).
% 0.61/0.82 tff(2861,plain,
% 0.61/0.82 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[1362, 2850])).
% 0.61/0.82 tff(2862,plain,
% 0.61/0.82 (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.82 inference(transitivity,[status(thm)],[2745, 2861, 1485, 2860])).
% 0.61/0.82 tff(2863,plain,
% 0.61/0.82 ((i2 = sk(a_859, a_880)) <=> (i1 = i2)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2852, 2655])).
% 0.61/0.82 tff(2864,plain,
% 0.61/0.82 ((~(i2 = sk(a_859, a_880))) <=> (~(i1 = i2))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2863])).
% 0.61/0.82 tff(2865,plain,
% 0.61/0.82 (~(i1 = i2)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[49, 2864])).
% 0.61/0.82 tff(2866,plain,
% 0.61/0.82 (~(i5 = i1)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1337, 2865])).
% 0.61/0.82 tff(2867,plain,
% 0.61/0.82 (~(i1 = i5)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1562, 2866])).
% 0.61/0.82 tff(2868,plain,
% 0.61/0.82 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i5) = select(store(a_869, i1, e_870), i5)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1750, 2867])).
% 0.61/0.82 tff(2869,plain,
% 0.61/0.82 (~(i5 = sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2804, 2868, 2862, 2859, 2855, 49])).
% 0.61/0.82 tff(2870,plain,
% 0.61/0.82 (select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1344, 2869])).
% 0.61/0.82 tff(2871,plain,
% 0.61/0.82 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2870])).
% 0.61/0.82 tff(2872,plain,
% 0.61/0.82 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1852, 2865])).
% 0.61/0.82 tff(2873,plain,
% 0.61/0.82 (select(store(a_867, i2, e_868), i2) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2872])).
% 0.61/0.82 tff(2874,plain,
% 0.61/0.82 ((~(i2 = sk(a_859, a_880))) <=> (~(i2 = i0))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2852])).
% 0.61/0.82 tff(2875,plain,
% 0.61/0.82 (~(i2 = i0)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[49, 2874])).
% 0.61/0.82 tff(2876,plain,
% 0.61/0.82 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1087, 2875])).
% 0.61/0.82 tff(2877,plain,
% 0.61/0.82 (select(store(a_836, i1, e_839), i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2876])).
% 0.61/0.82 tff(2878,plain,
% 0.61/0.82 (select(store(a_836, i1, e_839), i0) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[323, 2665])).
% 0.61/0.82 tff(2879,plain,
% 0.61/0.82 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(store(a_836, i1, e_839), i0)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2878])).
% 0.61/0.82 tff(2880,plain,
% 0.61/0.82 (select(a_840, i0) = e_873),
% 0.61/0.82 inference(transitivity,[status(thm)],[2694, 330, 328, 2879, 2877, 1081, 116, 113, 135, 101, 515, 512, 2873, 1848, 1491, 492, 488])).
% 0.61/0.82 tff(2881,plain,
% 0.61/0.82 (store(store(a_871, i1, e_870), i5, select(a_840, i0)) = store(a_872, i5, e_873)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[264, 2880])).
% 0.61/0.82 tff(2882,plain,
% 0.61/0.82 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_840, i0))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2881])).
% 0.61/0.82 tff(2883,plain,
% 0.61/0.82 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2882])).
% 0.61/0.82 tff(2884,plain,
% 0.61/0.82 (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2883])).
% 0.61/0.82 tff(2885,plain,
% 0.61/0.82 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(2886,plain,
% 0.61/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(2887,plain,
% 0.61/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_859, a_880)) | (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 0.61/0.82 tff(2888,plain,
% 0.61/0.82 (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2887, 55, 2869])).
% 0.61/0.82 tff(2889,plain,
% 0.61/0.82 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2888])).
% 0.61/0.82 tff(2890,plain,
% 0.61/0.82 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2850])).
% 0.61/0.82 tff(2891,plain,
% 0.61/0.82 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), i1) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2890])).
% 0.61/0.82 tff(2892,plain,
% 0.61/0.82 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(a_869, i1)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2860])).
% 0.61/0.82 tff(2893,plain,
% 0.61/0.82 (select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1382, 55, 2869])).
% 0.61/0.82 tff(2894,plain,
% 0.61/0.82 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2893])).
% 0.61/0.82 tff(2895,plain,
% 0.61/0.82 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[95, 2851])).
% 0.61/0.82 tff(2896,plain,
% 0.61/0.82 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2895])).
% 0.61/0.82 tff(2897,plain,
% 0.61/0.82 ((sk(a_859, a_880) = i5) <=> (i5 = sk(a_859, a_880))),
% 0.61/0.82 inference(commutativity,[status(thm)],[])).
% 0.61/0.82 tff(2898,plain,
% 0.61/0.82 ((i5 = sk(a_859, a_880)) <=> (sk(a_859, a_880) = i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2897])).
% 0.61/0.82 tff(2899,plain,
% 0.61/0.82 ((~(i5 = sk(a_859, a_880))) <=> (~(sk(a_859, a_880) = i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2898])).
% 0.61/0.82 tff(2900,plain,
% 0.61/0.82 (~(sk(a_859, a_880) = i5)),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[2869, 2899])).
% 0.61/0.82 tff(2901,plain,
% 0.61/0.82 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1555, 55, 2869])).
% 0.61/0.82 tff(2902,plain,
% 0.61/0.82 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1567, 2867])).
% 0.61/0.82 tff(2903,plain,
% 0.61/0.82 (select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1550, 55, 2869])).
% 0.61/0.82 tff(2904,plain,
% 0.61/0.82 (select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880))),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[1546, 2869])).
% 0.61/0.82 tff(2905,assumption,(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)), introduced(assumption)).
% 0.61/0.82 tff(2906,plain,
% 0.61/0.82 (select(store(a_836, i1, e_839), i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2905])).
% 0.61/0.82 tff(2907,plain,
% 0.61/0.82 (select(a_840, i0) = e_873),
% 0.61/0.82 inference(transitivity,[status(thm)],[2694, 330, 328, 2879, 2906, 1081, 116, 113, 135, 101, 515, 512, 2210, 1848, 1491, 492, 488])).
% 0.61/0.82 tff(2908,plain,
% 0.61/0.82 (store(store(a_871, i1, e_870), i5, select(a_840, i0)) = store(a_872, i5, e_873)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[264, 2907])).
% 0.61/0.82 tff(2909,plain,
% 0.61/0.82 (store(a_872, i5, e_873) = store(store(a_871, i1, e_870), i5, select(a_840, i0))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2908])).
% 0.61/0.82 tff(2910,plain,
% 0.61/0.82 (select(store(a_872, i5, e_873), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2909])).
% 0.61/0.82 tff(2911,plain,
% 0.61/0.82 (select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2910])).
% 0.61/0.82 tff(2912,assumption,(select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880))), introduced(assumption)).
% 0.61/0.82 tff(2913,plain,
% 0.61/0.82 (select(store(a_871, i1, e_870), sk(a_859, a_880)) = select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2912])).
% 0.61/0.82 tff(2914,plain,
% 0.61/0.82 (select(a_869, i1) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[281, 251])).
% 0.61/0.82 tff(2915,plain,
% 0.61/0.82 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(a_869, i1)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2914])).
% 0.61/0.82 tff(2916,plain,
% 0.61/0.82 (sk(a_859, a_880) = i0),
% 0.61/0.82 inference(transitivity,[status(thm)],[252, 2652])).
% 0.61/0.82 tff(2917,plain,
% 0.61/0.82 (select(store(a_863, i0, e_864), sk(a_859, a_880)) = select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[95, 2916])).
% 0.61/0.82 tff(2918,plain,
% 0.61/0.82 (select(store(store(a_861, i5, e_862), i0, select(a_861, i5)), i0) = select(store(a_863, i0, e_864), sk(a_859, a_880))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2917])).
% 0.61/0.82 tff(2919,plain,
% 0.61/0.82 (select(store(a_836, i1, e_839), i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[1573])).
% 0.61/0.82 tff(2920,plain,
% 0.61/0.82 (store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)) = store(a_836, i1, e_839)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[321, 252, 2695])).
% 0.61/0.82 tff(2921,plain,
% 0.61/0.82 (store(a_836, i1, e_839) = store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2920])).
% 0.61/0.82 tff(2922,plain,
% 0.61/0.82 (select(store(a_836, i1, e_839), i5) = select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2921])).
% 0.61/0.82 tff(2923,plain,
% 0.61/0.82 (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_836, i1, e_839), i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2922])).
% 0.61/0.82 tff(2924,assumption,(~(sk(a_859, a_880) = i5)), introduced(assumption)).
% 0.61/0.82 tff(2925,plain,
% 0.61/0.82 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i5) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_834, i3, e_835), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i5) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.61/0.82 inference(rewrite,[status(thm)],[])).
% 0.61/0.82 tff(2926,plain,
% 0.61/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((sk(a_859, a_880) = i5) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_834, i3, e_835), i5)))),
% 0.61/0.82 inference(quant_inst,[status(thm)],[])).
% 0.61/0.82 tff(2927,plain,
% 0.61/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (sk(a_859, a_880) = i5) | (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_834, i3, e_835), i5))),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 0.61/0.82 tff(2928,plain,
% 0.61/0.82 (select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5) = select(store(a_834, i3, e_835), i5)),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[2927, 55, 2924])).
% 0.61/0.82 tff(2929,plain,
% 0.61/0.82 (select(store(a_834, i3, e_835), i5) = select(store(store(a_834, i3, e_835), sk(a_859, a_880), select(a_840, i0)), i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2928])).
% 0.61/0.82 tff(2930,plain,
% 0.61/0.82 (i0 = sk(a_859, a_880)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2665, 251])).
% 0.61/0.82 tff(2931,plain,
% 0.61/0.82 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[821, 2930])).
% 0.61/0.82 tff(2932,plain,
% 0.61/0.82 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.61/0.83 inference(symmetry,[status(thm)],[2931])).
% 0.61/0.83 tff(2933,plain,
% 0.61/0.83 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(a_844, i2, e_845), i1)),
% 0.61/0.83 inference(monotonicity,[status(thm)],[252])).
% 0.61/0.83 tff(2934,plain,
% 0.61/0.83 (select(store(a_844, i2, e_845), i1) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.61/0.83 inference(symmetry,[status(thm)],[2933])).
% 0.61/0.83 tff(2935,plain,
% 0.61/0.83 (e_882 = e_883),
% 0.61/0.83 inference(transitivity,[status(thm)],[180, 464, 449, 2103, 1634, 2409, 1633, 2335, 1630, 2079, 2408, 406, 1449, 1448, 2934, 657, 1610, 1609, 1607, 2932, 820, 1604, 1602, 1601, 1742, 2929, 2923, 2919, 315, 519, 2918, 1590, 1379, 1588, 1372, 2915, 278, 2407, 1355, 2913, 2911, 1582, 479, 1580, 77, 250, 48, 29])).
% 0.61/0.83 tff(2936,plain,
% 0.61/0.83 ($false),
% 0.61/0.83 inference(unit_resolution,[status(thm)],[468, 2935])).
% 0.61/0.83 tff(2937,plain,((i2 = i5) | (~(select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), sk(a_859, a_880)) = select(store(a_855, i5, e_856), sk(a_859, a_880)))) | (~(select(store(store(a_853, i2, e_854), i5, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_853, i2, e_854), sk(a_859, a_880)))) | (~(select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(store(a_851, i5, e_852), sk(a_859, a_880)))) | (~(select(store(store(a_850, i1, e_849), i5, select(a_851, i2)), sk(a_859, a_880)) = select(store(a_850, i1, e_849), sk(a_859, a_880)))) | (~(select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), sk(a_859, a_880)) = select(store(a_876, i5, e_877), sk(a_859, a_880)))) | (~(select(store(store(a_874, i2, e_875), i5, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_874, i2, e_875), sk(a_859, a_880)))) | (~(select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), sk(a_859, a_880)) = select(store(a_872, i5, e_873), sk(a_859, a_880)))) | (~(select(store(store(a_871, i1, e_870), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_871, i1, e_870), sk(a_859, a_880)))) | (~(select(store(store(a_865, i5, e_866), i2, select(a_861, i0)), sk(a_859, a_880)) = select(store(a_865, i5, e_866), sk(a_859, a_880)))) | (~(select(store(store(a_863, i0, e_864), i5, select(a_865, i2)), sk(a_859, a_880)) = select(store(a_863, i0, e_864), sk(a_859, a_880)))) | (~(select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i5) = select(store(a_836, i2, e_837), i5))) | (~(select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_840, i0, e_841), sk(a_859, a_880)))) | (~(select(store(store(a_842, i5, e_843), i2, select(a_840, i0)), sk(a_859, a_880)) = select(store(a_842, i5, e_843), sk(a_859, a_880)))) | (~(i1 = sk(a_859, a_880))) | (~(select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i2) = select(store(a_867, i2, e_868), i2))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0))) | (sk(a_859, a_880) = i5)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(2938,plain,
% 0.67/0.83 (i2 = i5),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2937, 236, 2904, 1031, 2903, 60, 2870, 483, 2888, 1376, 2893, 2902, 2901, 643, 2849, 2872, 2876, 2900])).
% 0.67/0.83 tff(2939,plain,
% 0.67/0.83 (i5 = i2),
% 0.67/0.83 inference(symmetry,[status(thm)],[2938])).
% 0.67/0.83 tff(2940,plain,
% 0.67/0.83 (select(a_861, i5) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[313, 2939])).
% 0.67/0.83 tff(2941,plain,
% 0.67/0.83 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_861, i5)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2940])).
% 0.67/0.83 tff(2942,plain,
% 0.67/0.83 (select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2) = select(store(a_836, i2, e_837), i5)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[350, 2938])).
% 0.67/0.83 tff(2943,plain,
% 0.67/0.83 (select(store(a_836, i2, e_837), i5) = select(store(store(a_834, i3, e_835), i2, select(a_836, i1)), i2)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2942])).
% 0.67/0.83 tff(2944,plain,
% 0.67/0.83 (i0 = sk(a_859, a_880)),
% 0.67/0.83 inference(transitivity,[status(thm)],[2665, 2849])).
% 0.67/0.83 tff(2945,plain,
% 0.67/0.83 (select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0) = select(store(a_840, i0, e_841), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[821, 2944])).
% 0.67/0.83 tff(2946,plain,
% 0.67/0.83 (select(store(a_840, i0, e_841), sk(a_859, a_880)) = select(store(store(a_838, i1, e_839), i0, select(a_840, i5)), i0)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2945])).
% 0.67/0.83 tff(2947,plain,
% 0.67/0.83 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(a_844, i2, e_845), i1)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2850])).
% 0.67/0.83 tff(2948,plain,
% 0.67/0.83 (select(store(a_844, i2, e_845), i1) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[2947])).
% 0.67/0.83 tff(2949,plain,
% 0.67/0.83 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i1)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2850])).
% 0.67/0.83 tff(2950,plain,
% 0.67/0.83 (e_882 = e_883),
% 0.67/0.83 inference(transitivity,[status(thm)],[180, 464, 236, 2103, 2904, 2409, 1031, 2335, 2903, 2079, 2949, 406, 1449, 1448, 2948, 657, 643, 1609, 2901, 2946, 820, 1604, 2902, 2943, 349, 347, 2941, 519, 2896, 2894, 1379, 1377, 1372, 2892, 278, 2891, 1355, 2889, 2884, 484, 479, 2871, 77, 61, 48, 29])).
% 0.67/0.83 tff(2951,plain,
% 0.67/0.83 ($false),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[468, 2950])).
% 0.67/0.83 tff(2952,plain,(i2 = sk(a_859, a_880)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(2953,plain,
% 0.67/0.83 (sk(a_859, a_880) = i2),
% 0.67/0.83 inference(symmetry,[status(thm)],[2952])).
% 0.67/0.83 tff(2954,plain,
% 0.67/0.83 (i_881 = i2),
% 0.67/0.83 inference(transitivity,[status(thm)],[32, 2953])).
% 0.67/0.83 tff(2955,plain,
% 0.67/0.83 (select(a_880, i_881) = select(store(store(a_876, i5, e_877), i2, select(a_876, i5)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[46, 2954])).
% 0.67/0.83 tff(2956,plain,
% 0.67/0.83 (e_883 = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5)),
% 0.67/0.83 inference(transitivity,[status(thm)],[28, 2955, 25, 17])).
% 0.67/0.83 tff(2957,plain,
% 0.67/0.83 (select(store(a_869, i1, e_870), i2) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2952])).
% 0.67/0.83 tff(2958,plain,
% 0.67/0.83 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(a_869, i1, e_870), i2)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2957])).
% 0.67/0.83 tff(2959,plain,
% 0.67/0.83 (select(store(a_844, i2, e_845), sk(a_859, a_880)) = select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[729, 2953])).
% 0.67/0.83 tff(2960,plain,
% 0.67/0.83 (select(store(store(a_842, i5, e_843), i2, select(a_844, i5)), i2) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[2959])).
% 0.67/0.83 tff(2961,plain,
% 0.67/0.83 (select(a_840, i0) = select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[364, 2665])).
% 0.67/0.83 tff(2962,plain,
% 0.67/0.83 (select(store(store(a_836, i2, e_837), i1, select(a_836, i2)), i1) = select(a_840, i0)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2961])).
% 0.67/0.83 tff(2963,plain,
% 0.67/0.83 (select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1) = select(store(a_836, i1, e_839), i0)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[322, 2652])).
% 0.67/0.83 tff(2964,plain,
% 0.67/0.83 (select(store(a_836, i1, e_839), i0) = select(store(store(a_834, i3, e_835), i1, select(a_836, i2)), i1)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2963])).
% 0.67/0.83 tff(2965,plain,
% 0.67/0.83 ((i0 = sk(a_859, a_880)) <=> (i0 = i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[1273])).
% 0.67/0.83 tff(2966,plain,
% 0.67/0.83 ((i0 = sk(a_859, a_880)) <=> (i2 = i0)),
% 0.67/0.83 inference(transitivity,[status(thm)],[2965, 80])).
% 0.67/0.83 tff(2967,plain,
% 0.67/0.83 ((i2 = i0) <=> (i0 = sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[2966])).
% 0.67/0.83 tff(2968,assumption,(i2 = i0), introduced(assumption)).
% 0.67/0.83 tff(2969,plain,
% 0.67/0.83 (i0 = sk(a_859, a_880)),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 0.67/0.83 tff(2970,plain,
% 0.67/0.83 ($false),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1155, 2969])).
% 0.67/0.83 tff(2971,plain,((~(i2 = i0)) | (i0 = sk(a_859, a_880)) | (~(i2 = sk(a_859, a_880)))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(2972,plain,
% 0.67/0.83 (~(i2 = i0)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2971, 1155, 2952])).
% 0.67/0.83 tff(2973,plain,
% 0.67/0.83 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1087, 2972])).
% 0.67/0.83 tff(2974,plain,
% 0.67/0.83 (select(a_861, i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0)),
% 0.67/0.83 inference(symmetry,[status(thm)],[1325])).
% 0.67/0.83 tff(2975,plain,
% 0.67/0.83 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[510, 2953])).
% 0.67/0.83 tff(2976,plain,
% 0.67/0.83 ((i0 = sk(a_859, a_880)) | (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2688, 55])).
% 0.67/0.83 tff(2977,plain,
% 0.67/0.83 (select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2976, 1155])).
% 0.67/0.83 tff(2978,plain,
% 0.67/0.83 (select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880)) = select(a_872, i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[274, 2953])).
% 0.67/0.83 tff(2979,plain,
% 0.67/0.83 ((i0 = sk(a_859, a_880)) | (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880)))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2717, 55])).
% 0.67/0.83 tff(2980,plain,
% 0.67/0.83 (select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2979, 1155])).
% 0.67/0.83 tff(2981,plain,
% 0.67/0.83 ((i5 = i2) <=> (i5 = sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2952])).
% 0.67/0.83 tff(2982,plain,
% 0.67/0.83 ((i5 = sk(a_859, a_880)) <=> (i5 = i2)),
% 0.67/0.83 inference(symmetry,[status(thm)],[2981])).
% 0.67/0.83 tff(2983,plain,
% 0.67/0.83 ((i5 = sk(a_859, a_880)) <=> (i2 = i5)),
% 0.67/0.83 inference(transitivity,[status(thm)],[2982, 200])).
% 0.67/0.83 tff(2984,plain,
% 0.67/0.83 (e_883 = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(transitivity,[status(thm)],[28, 2955, 25, 1278, 1456, 1284, 1287, 491, 1490, 2957, 2684, 2754, 2975, 514, 100, 134, 112, 115, 2974, 2905, 2964, 327, 367, 2962, 652, 649, 734, 2960])).
% 0.67/0.83 tff(2985,plain,
% 0.67/0.83 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(a_848, i1, e_849), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2953])).
% 0.67/0.83 tff(2986,plain,
% 0.67/0.83 (select(store(a_848, i1, e_849), i2) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[2985])).
% 0.67/0.83 tff(2987,plain,
% 0.67/0.83 (select(a_851, i2) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), i2)),
% 0.67/0.83 inference(symmetry,[status(thm)],[1514])).
% 0.67/0.83 tff(2988,plain,
% 0.67/0.83 (select(a_859, i_881) = select(store(store(a_855, i5, e_856), i2, select(a_855, i5)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[463, 2954])).
% 0.67/0.83 tff(2989,plain,
% 0.67/0.83 (e_882 = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880))),
% 0.67/0.83 inference(transitivity,[status(thm)],[180, 2988, 1250, 1252, 1451, 1262, 1265, 2987, 1517, 2986, 2721, 2748, 1612])).
% 0.67/0.83 tff(2990,plain,
% 0.67/0.83 ((e_882 = e_883) <=> (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2989, 2984])).
% 0.67/0.83 tff(2991,plain,
% 0.67/0.83 ((~(e_882 = e_883)) <=> (~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2990])).
% 0.67/0.83 tff(2992,plain,
% 0.67/0.83 (~(select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[468, 2991])).
% 0.67/0.83 tff(2993,plain,
% 0.67/0.83 ((i5 = sk(a_859, a_880)) | (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1477, 55])).
% 0.67/0.83 tff(2994,plain,
% 0.67/0.83 (i5 = sk(a_859, a_880)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2993, 2992])).
% 0.67/0.83 tff(2995,plain,
% 0.67/0.83 (i2 = i5),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[2994, 2983])).
% 0.67/0.83 tff(2996,plain,
% 0.67/0.83 ($false),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1339, 2995])).
% 0.67/0.83 tff(2997,plain,((i2 = i5) | (~(select(store(store(a_867, i2, e_868), i0, select(a_869, i1)), sk(a_859, a_880)) = select(store(a_867, i2, e_868), sk(a_859, a_880)))) | (~(select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i0) = select(store(a_836, i1, e_839), i0))) | (~(select(store(store(a_846, i5, e_847), i0, select(a_848, i1)), sk(a_859, a_880)) = select(store(a_846, i5, e_847), sk(a_859, a_880))))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(2998,plain,
% 0.67/0.83 (i2 = i5),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2997, 2977, 2973, 2980])).
% 0.67/0.83 tff(2999,plain,
% 0.67/0.83 (i5 = i2),
% 0.67/0.83 inference(symmetry,[status(thm)],[2998])).
% 0.67/0.83 tff(3000,plain,
% 0.67/0.83 (i5 = sk(a_859, a_880)),
% 0.67/0.83 inference(transitivity,[status(thm)],[2999, 2952])).
% 0.67/0.83 tff(3001,plain,
% 0.67/0.83 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[490, 3000])).
% 0.67/0.83 tff(3002,plain,
% 0.67/0.83 (select(store(a_874, i2, e_875), sk(a_859, a_880)) = select(a_876, i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[5, 2953])).
% 0.67/0.83 tff(3003,plain,
% 0.67/0.83 (select(a_876, i5) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[4, 3000])).
% 0.67/0.83 tff(3004,plain,
% 0.67/0.83 (e_883 = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(transitivity,[status(thm)],[28, 2955, 25, 3003, 3002, 68, 71, 3001, 2978, 491, 1490, 2957, 2684, 2977, 2975, 514, 100, 134, 112, 115, 2974, 2973, 2964, 327, 367, 2962, 652, 649, 734, 2960])).
% 0.67/0.83 tff(3005,plain,
% 0.67/0.83 (select(store(a_848, i1, e_849), i2) = select(store(a_848, i1, e_849), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2952])).
% 0.67/0.83 tff(3006,plain,
% 0.67/0.83 (select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880)) = select(a_851, i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[830, 2953])).
% 0.67/0.83 tff(3007,plain,
% 0.67/0.83 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[420, 3000])).
% 0.67/0.83 tff(3008,plain,
% 0.67/0.83 (select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880)) = select(a_855, i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[2592, 2953])).
% 0.67/0.83 tff(3009,plain,
% 0.67/0.83 (select(a_855, i5) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[437, 3000])).
% 0.67/0.83 tff(3010,plain,
% 0.67/0.83 (e_882 = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880))),
% 0.67/0.83 inference(transitivity,[status(thm)],[180, 2988, 1250, 3009, 3008, 438, 423, 3007, 3006, 700, 1517, 3005, 2837, 2980, 1612])).
% 0.67/0.83 tff(3011,plain,
% 0.67/0.83 ((e_882 = e_883) <=> (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880)))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[3010, 3004])).
% 0.67/0.83 tff(3012,plain,
% 0.67/0.83 ((select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))) <=> (e_882 = e_883)),
% 0.67/0.83 inference(symmetry,[status(thm)],[3011])).
% 0.67/0.83 tff(3013,plain,
% 0.67/0.83 (sk(a_859, a_880) = i5),
% 0.67/0.83 inference(transitivity,[status(thm)],[2953, 2998])).
% 0.67/0.83 tff(3014,plain,
% 0.67/0.83 (select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880)) = select(a_844, i5)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[824, 3013])).
% 0.67/0.83 tff(3015,plain,
% 0.67/0.83 (select(a_844, i2) = select(store(store(a_840, i0, e_841), i5, select(a_840, i0)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[386, 2952])).
% 0.67/0.83 tff(3016,plain,
% 0.67/0.83 (select(store(a_846, i5, e_847), sk(a_859, a_880)) = select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), i5)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[399, 3013])).
% 0.67/0.83 tff(3017,plain,
% 0.67/0.83 (select(store(store(a_844, i2, e_845), i5, select(a_844, i2)), sk(a_859, a_880)) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(transitivity,[status(thm)],[1611, 3016, 389, 3015, 3014, 734, 2960])).
% 0.67/0.83 tff(3018,plain,
% 0.67/0.83 (e_882 = e_883),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[3017, 3012])).
% 0.67/0.83 tff(3019,plain,
% 0.67/0.83 ($false),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[468, 3018])).
% 0.67/0.83 tff(3020,plain,(i0 = sk(a_859, a_880)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(3021,plain,
% 0.67/0.83 (sk(a_859, a_880) = i0),
% 0.67/0.83 inference(symmetry,[status(thm)],[3020])).
% 0.67/0.83 tff(3022,plain,
% 0.67/0.83 (sk(a_859, a_880) = i1),
% 0.67/0.83 inference(transitivity,[status(thm)],[3021, 2665])).
% 0.67/0.83 tff(3023,plain,
% 0.67/0.83 (select(store(a_869, i1, e_870), sk(a_859, a_880)) = select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[1362, 3022])).
% 0.67/0.83 tff(3024,plain,
% 0.67/0.83 (select(store(store(a_867, i2, e_868), i1, select(a_869, i1)), i1) = select(store(a_869, i1, e_870), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[3023])).
% 0.67/0.83 tff(3025,plain,
% 0.67/0.83 (i1 = sk(a_859, a_880)),
% 0.67/0.83 inference(transitivity,[status(thm)],[2652, 3020])).
% 0.67/0.83 tff(3026,plain,
% 0.67/0.83 (select(a_869, i1) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[281, 3025])).
% 0.67/0.83 tff(3027,plain,
% 0.67/0.83 (select(store(a_867, i2, e_868), sk(a_859, a_880)) = select(a_869, i1)),
% 0.67/0.83 inference(symmetry,[status(thm)],[3026])).
% 0.67/0.83 tff(3028,plain,
% 0.67/0.83 (select(store(store(a_865, i5, e_866), i2, select(a_865, i5)), i2) = select(store(a_867, i2, e_868), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[2975])).
% 0.67/0.83 tff(3029,plain,
% 0.67/0.83 (i0 = i2),
% 0.67/0.83 inference(transitivity,[status(thm)],[3020, 2953])).
% 0.67/0.83 tff(3030,plain,
% 0.67/0.83 (select(a_861, i0) = select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[313, 3029])).
% 0.67/0.83 tff(3031,plain,
% 0.67/0.83 (select(store(store(a_836, i1, e_839), i2, select(a_836, i1)), i2) = select(a_861, i0)),
% 0.67/0.83 inference(symmetry,[status(thm)],[3030])).
% 0.67/0.83 tff(3032,plain,
% 0.67/0.83 (select(a_836, i1) = select(store(a_834, i3, e_835), i0)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[320, 2652])).
% 0.67/0.83 tff(3033,plain,
% 0.67/0.83 (select(store(a_834, i3, e_835), i0) = select(a_836, i1)),
% 0.67/0.83 inference(symmetry,[status(thm)],[3032])).
% 0.67/0.83 tff(3034,plain,
% 0.67/0.83 (select(store(a_834, i3, e_835), i0) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[3020])).
% 0.67/0.83 tff(3035,plain,
% 0.67/0.83 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(store(a_834, i3, e_835), i0)),
% 0.67/0.83 inference(symmetry,[status(thm)],[3034])).
% 0.67/0.83 tff(3036,plain,
% 0.67/0.83 (select(store(a_834, i3, e_835), sk(a_859, a_880)) = select(a_836, i2)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[321, 2953])).
% 0.67/0.83 tff(3037,plain,
% 0.67/0.83 (select(a_836, i2) = select(store(a_834, i3, e_835), sk(a_859, a_880))),
% 0.67/0.83 inference(symmetry,[status(thm)],[3036])).
% 0.67/0.83 tff(3038,plain,
% 0.67/0.83 (select(store(a_844, i2, e_845), i1) = select(store(a_844, i2, e_845), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[3025])).
% 0.67/0.83 tff(3039,plain,
% 0.67/0.83 (select(store(a_848, i1, e_849), sk(a_859, a_880)) = select(store(store(a_846, i5, e_847), i1, select(a_848, i1)), i1)),
% 0.67/0.83 inference(monotonicity,[status(thm)],[1502, 3022])).
% 0.67/0.83 tff(3040,plain,
% 0.67/0.83 (i1 = sk(a_859, a_880)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[2675, 3020])).
% 0.67/0.83 tff(3041,plain,
% 0.67/0.83 (i2 = i1),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1539, 3040, 2952])).
% 0.67/0.83 tff(3042,plain,
% 0.67/0.83 (i2 = i5),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[1459, 3041, 2952])).
% 0.67/0.83 tff(3043,plain,
% 0.67/0.83 (i5 = i2),
% 0.67/0.83 inference(symmetry,[status(thm)],[3042])).
% 0.67/0.83 tff(3044,plain,
% 0.67/0.83 (i5 = sk(a_859, a_880)),
% 0.67/0.83 inference(transitivity,[status(thm)],[3043, 2952])).
% 0.67/0.83 tff(3045,plain,
% 0.67/0.83 (select(a_851, i5) = select(store(store(a_848, i1, e_849), i1, select(a_848, i1)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[420, 3044])).
% 0.67/0.83 tff(3046,plain,
% 0.67/0.83 (select(a_855, i5) = select(store(store(a_851, i5, e_852), i2, select(a_851, i5)), sk(a_859, a_880))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[437, 3044])).
% 0.67/0.83 tff(3047,plain,
% 0.67/0.83 (e_882 = select(store(a_872, i5, e_873), i5)),
% 0.67/0.83 inference(transitivity,[status(thm)],[180, 2988, 1250, 3046, 3008, 438, 423, 3045, 3006, 700, 1517, 3005, 3039, 1511, 2642, 1448, 3038, 2959, 733, 648, 651, 2694, 330, 3037, 3035, 3033, 347, 3031, 116, 113, 135, 101, 515, 3028, 3027, 1486, 3024, 2958, 1491, 492, 1288, 1285])).
% 0.67/0.84 tff(3048,plain,
% 0.67/0.84 ((e_882 = e_883) <=> (select(store(a_872, i5, e_873), i5) = select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[3047, 2956])).
% 0.67/0.84 tff(3049,plain,
% 0.67/0.84 ((e_882 = e_883) <=> (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5))),
% 0.67/0.84 inference(transitivity,[status(thm)],[3048, 1])).
% 0.67/0.84 tff(3050,plain,
% 0.67/0.84 ((select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)) <=> (e_882 = e_883)),
% 0.67/0.84 inference(symmetry,[status(thm)],[3049])).
% 0.67/0.84 tff(3051,plain,
% 0.67/0.84 (select(a_872, i5) = select(store(store(a_869, i1, e_870), i1, select(a_869, i1)), sk(a_859, a_880))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[490, 3044])).
% 0.67/0.84 tff(3052,plain,
% 0.67/0.84 (select(a_876, i5) = select(store(a_874, i2, e_875), sk(a_859, a_880))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[4, 3044])).
% 0.67/0.84 tff(3053,plain,
% 0.67/0.84 (select(store(store(a_872, i5, e_873), i2, select(a_872, i5)), i5) = select(store(a_872, i5, e_873), i5)),
% 0.67/0.84 inference(transitivity,[status(thm)],[16, 3052, 3002, 68, 71, 3051, 2978, 1288, 1285])).
% 0.67/0.84 tff(3054,plain,
% 0.67/0.84 (e_882 = e_883),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[3053, 3050])).
% 0.67/0.84 tff(3055,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[468, 3054])).
% 0.67/0.84 % SZS output end Proof
% 0.67/0.84 % E exiting
%------------------------------------------------------------------------------