TSTP Solution File: SWV537-1.007 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV537-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n002.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 : Tue Aug 22 11:04:54 EDT 2023

% Result   : Unsatisfiable 31.16s 18.21s
% Output   : CNFRefutation 32.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  110
% Syntax   : Number of formulae    : 2278 (1356 unt;  61 typ;   0 def)
%            Number of atoms       : 3078 (3030 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  987 ( 126   ~; 861   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  58 con; 0-3 aty)
%            Number of variables   :  310 (; 310   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ store > sk > select > #nlpp > i_881 > i5 > i4 > i3 > i2 > i1 > i0 > e_883 > e_882 > e_879 > e_877 > e_875 > e_873 > e_870 > e_868 > e_866 > e_864 > e_862 > e_858 > e_856 > e_854 > e_852 > e_849 > e_847 > e_845 > e_843 > e_841 > e_839 > e_837 > e_835 > e_833 > a_880 > a_878 > a_876 > a_874 > a_872 > a_871 > a_869 > a_867 > a_865 > a_863 > a_861 > a_860 > a_859 > a_857 > a_855 > a_853 > a_851 > a_850 > a_848 > a_846 > a_844 > a_842 > a_840 > a_838 > a_836 > a_834 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a1,type,
    a1: $i ).

tff(e_868,type,
    e_868: $i ).

tff(e_870,type,
    e_870: $i ).

tff(a_871,type,
    a_871: $i ).

tff(a_844,type,
    a_844: $i ).

tff(e_882,type,
    e_882: $i ).

tff(a_857,type,
    a_857: $i ).

tff(e_847,type,
    e_847: $i ).

tff(e_879,type,
    e_879: $i ).

tff(e_883,type,
    e_883: $i ).

tff(a_838,type,
    a_838: $i ).

tff(e_866,type,
    e_866: $i ).

tff(a_840,type,
    a_840: $i ).

tff(e_864,type,
    e_864: $i ).

tff(a_850,type,
    a_850: $i ).

tff(a_867,type,
    a_867: $i ).

tff(store,type,
    store: ( $i * $i * $i ) > $i ).

tff(a_876,type,
    a_876: $i ).

tff(e_839,type,
    e_839: $i ).

tff(a_869,type,
    a_869: $i ).

tff(a_855,type,
    a_855: $i ).

tff(a_859,type,
    a_859: $i ).

tff(a_860,type,
    a_860: $i ).

tff(e_833,type,
    e_833: $i ).

tff(a_848,type,
    a_848: $i ).

tff(a_834,type,
    a_834: $i ).

tff(i_881,type,
    i_881: $i ).

tff(a_853,type,
    a_853: $i ).

tff(a_846,type,
    a_846: $i ).

tff(e_854,type,
    e_854: $i ).

tff(e_849,type,
    e_849: $i ).

tff(e_841,type,
    e_841: $i ).

tff(e_877,type,
    e_877: $i ).

tff(e_856,type,
    e_856: $i ).

tff(sk,type,
    sk: ( $i * $i ) > $i ).

tff(a_863,type,
    a_863: $i ).

tff(i1,type,
    i1: $i ).

tff(i2,type,
    i2: $i ).

tff(e_852,type,
    e_852: $i ).

tff(e_873,type,
    e_873: $i ).

tff(a_874,type,
    a_874: $i ).

tff(select,type,
    select: ( $i * $i ) > $i ).

tff(a_861,type,
    a_861: $i ).

tff(e_845,type,
    e_845: $i ).

tff(a_878,type,
    a_878: $i ).

tff(e_862,type,
    e_862: $i ).

tff(e_837,type,
    e_837: $i ).

tff(a_836,type,
    a_836: $i ).

tff(e_843,type,
    e_843: $i ).

tff(i0,type,
    i0: $i ).

tff(e_875,type,
    e_875: $i ).

tff(i5,type,
    i5: $i ).

tff(e_858,type,
    e_858: $i ).

tff(i4,type,
    i4: $i ).

tff(a_865,type,
    a_865: $i ).

tff(e_835,type,
    e_835: $i ).

tff(i3,type,
    i3: $i ).

tff(a_851,type,
    a_851: $i ).

tff(a_842,type,
    a_842: $i ).

tff(a_872,type,
    a_872: $i ).

tff(a_880,type,
    a_880: $i ).

tff(f_83,axiom,
    e_882 != e_883,
    file(unknown,unknown) ).

tff(f_34,axiom,
    a_840 = store(a_838,i1,e_839),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [I,J,A,E] :
      ( ( I = J )
      | ( select(store(A,I,E),J) = select(A,J) ) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    e_843 = select(a_840,i0),
    file(unknown,unknown) ).

tff(f_45,axiom,
    a_860 = store(a_836,i1,e_839),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [A,I,E] : ( select(store(A,I,E),I) = E ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    a_861 = store(a_860,i2,e_837),
    file(unknown,unknown) ).

tff(f_61,axiom,
    e_841 = select(a_840,i5),
    file(unknown,unknown) ).

tff(f_71,axiom,
    e_864 = select(a_861,i5),
    file(unknown,unknown) ).

tff(f_59,axiom,
    e_837 = select(a_836,i1),
    file(unknown,unknown) ).

tff(f_60,axiom,
    e_839 = select(a_836,i2),
    file(unknown,unknown) ).

tff(f_33,axiom,
    a_838 = store(a_836,i2,e_837),
    file(unknown,unknown) ).

tff(f_70,axiom,
    e_862 = select(a_861,i0),
    file(unknown,unknown) ).

tff(f_48,axiom,
    a_865 = store(a_863,i0,e_864),
    file(unknown,unknown) ).

tff(f_72,axiom,
    e_866 = select(a_865,i2),
    file(unknown,unknown) ).

tff(f_73,axiom,
    e_868 = select(a_865,i5),
    file(unknown,unknown) ).

tff(f_50,axiom,
    a_869 = store(a_867,i2,e_868),
    file(unknown,unknown) ).

tff(f_74,axiom,
    e_870 = select(a_869,i1),
    file(unknown,unknown) ).

tff(f_52,axiom,
    a_872 = store(a_871,i1,e_870),
    file(unknown,unknown) ).

tff(f_76,axiom,
    e_875 = select(a_872,i5),
    file(unknown,unknown) ).

tff(f_54,axiom,
    a_876 = store(a_874,i2,e_875),
    file(unknown,unknown) ).

tff(f_78,axiom,
    e_879 = select(a_876,i5),
    file(unknown,unknown) ).

tff(f_56,axiom,
    a_880 = store(a_878,i2,e_879),
    file(unknown,unknown) ).

tff(f_79,axiom,
    e_882 = select(a_859,i_881),
    file(unknown,unknown) ).

tff(f_44,axiom,
    a_859 = store(a_857,i2,e_858),
    file(unknown,unknown) ).

tff(f_80,axiom,
    e_883 = select(a_880,i_881),
    file(unknown,unknown) ).

tff(f_36,axiom,
    a_844 = store(a_842,i5,e_843),
    file(unknown,unknown) ).

tff(f_64,axiom,
    e_847 = select(a_844,i2),
    file(unknown,unknown) ).

tff(f_38,axiom,
    a_848 = store(a_846,i5,e_847),
    file(unknown,unknown) ).

tff(f_65,axiom,
    e_849 = select(a_848,i1),
    file(unknown,unknown) ).

tff(f_40,axiom,
    a_851 = store(a_850,i1,e_849),
    file(unknown,unknown) ).

tff(f_67,axiom,
    e_854 = select(a_851,i5),
    file(unknown,unknown) ).

tff(f_42,axiom,
    a_855 = store(a_853,i2,e_854),
    file(unknown,unknown) ).

tff(f_69,axiom,
    e_858 = select(a_855,i5),
    file(unknown,unknown) ).

tff(f_43,axiom,
    a_857 = store(a_855,i5,e_856),
    file(unknown,unknown) ).

tff(f_66,axiom,
    e_852 = select(a_851,i2),
    file(unknown,unknown) ).

tff(f_41,axiom,
    a_853 = store(a_851,i5,e_852),
    file(unknown,unknown) ).

tff(f_39,axiom,
    a_850 = store(a_848,i1,e_849),
    file(unknown,unknown) ).

tff(f_63,axiom,
    e_845 = select(a_844,i5),
    file(unknown,unknown) ).

tff(f_37,axiom,
    a_846 = store(a_844,i2,e_845),
    file(unknown,unknown) ).

tff(f_35,axiom,
    a_842 = store(a_840,i0,e_841),
    file(unknown,unknown) ).

tff(f_47,axiom,
    a_863 = store(a_861,i5,e_862),
    file(unknown,unknown) ).

tff(f_49,axiom,
    a_867 = store(a_865,i5,e_866),
    file(unknown,unknown) ).

tff(f_51,axiom,
    a_871 = store(a_869,i1,e_870),
    file(unknown,unknown) ).

tff(f_75,axiom,
    e_873 = select(a_872,i2),
    file(unknown,unknown) ).

tff(f_53,axiom,
    a_874 = store(a_872,i5,e_873),
    file(unknown,unknown) ).

tff(f_55,axiom,
    a_878 = store(a_876,i5,e_877),
    file(unknown,unknown) ).

tff(f_77,axiom,
    e_877 = select(a_876,i2),
    file(unknown,unknown) ).

tff(f_68,axiom,
    e_856 = select(a_855,i2),
    file(unknown,unknown) ).

tff(c_108,plain,
    e_883 != e_882,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_12,plain,
    store(a_838,i1,e_839) = a_840,
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_409,plain,
    ! [A_11,I_12,E_13,J_14] :
      ( ( select(store(A_11,I_12,E_13),J_14) = select(A_11,J_14) )
      | ( J_14 = I_12 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_716,plain,
    ! [J_18] :
      ( ( select(a_840,J_18) = select(a_838,J_18) )
      | ( i1 = J_18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_409]) ).

tff(c_68,plain,
    select(a_840,i0) = e_843,
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_728,plain,
    ( ( select(a_838,i0) = e_843 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_716,c_68]) ).

tff(c_66929,plain,
    i1 = i0,
    inference(splitLeft,[status(thm)],[c_728]) ).

tff(c_34,plain,
    store(a_836,i1,e_839) = a_860,
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_313,plain,
    ! [A_8,I_9,E_10] : ( select(store(A_8,I_9,E_10),I_9) = E_10 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_394,plain,
    select(a_860,i1) = e_839,
    inference(superposition,[status(thm),theory(equality)],[c_34,c_313]) ).

tff(c_36,plain,
    store(a_860,i2,e_837) = a_861,
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_1007,plain,
    ! [J_22] :
      ( ( select(a_861,J_22) = select(a_860,J_22) )
      | ( i2 = J_22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_66,plain,
    select(a_840,i5) = e_841,
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_725,plain,
    ( ( select(a_838,i5) = e_841 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_716,c_66]) ).

tff(c_745,plain,
    i5 = i1,
    inference(splitLeft,[status(thm)],[c_725]) ).

tff(c_86,plain,
    select(a_861,i5) = e_864,
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_768,plain,
    select(a_861,i1) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_86]) ).

tff(c_1013,plain,
    ( ( select(a_860,i1) = e_864 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1007,c_768]) ).

tff(c_1033,plain,
    ( ( e_864 = e_839 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_1013]) ).

tff(c_1038,plain,
    i2 = i1,
    inference(splitLeft,[status(thm)],[c_1033]) ).

tff(c_62,plain,
    select(a_836,i1) = e_837,
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_64,plain,
    select(a_836,i2) = e_839,
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_1057,plain,
    select(a_836,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_64]) ).

tff(c_1062,plain,
    e_839 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_62,c_1057]) ).

tff(c_1075,plain,
    store(a_838,i1,e_837) = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_1062,c_12]) ).

tff(c_10,plain,
    store(a_836,i2,e_837) = a_838,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_1053,plain,
    store(a_836,i1,e_837) = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_10]) ).

tff(c_1074,plain,
    store(a_836,i1,e_837) = a_860,
    inference(demodulation,[status(thm),theory(equality)],[c_1062,c_34]) ).

tff(c_1665,plain,
    a_860 = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1074]) ).

tff(c_1056,plain,
    store(a_860,i1,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_36]) ).

tff(c_1666,plain,
    store(a_838,i1,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_1665,c_1056]) ).

tff(c_1669,plain,
    a_861 = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_1075,c_1666]) ).

tff(c_84,plain,
    select(a_861,i0) = e_862,
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_1678,plain,
    select(a_840,i0) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_1669,c_84]) ).

tff(c_1680,plain,
    e_862 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_1678]) ).

tff(c_1019,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1007,c_84]) ).

tff(c_1782,plain,
    ( ( select(a_838,i0) = e_843 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_1680,c_1665,c_1019]) ).

tff(c_1783,plain,
    i1 = i0,
    inference(splitLeft,[status(thm)],[c_1782]) ).

tff(c_367,plain,
    select(a_861,i2) = e_837,
    inference(superposition,[status(thm),theory(equality)],[c_36,c_313]) ).

tff(c_1048,plain,
    select(a_861,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_367]) ).

tff(c_1201,plain,
    e_864 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1048,c_768]) ).

tff(c_40,plain,
    store(a_863,i0,e_864) = a_865,
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_355,plain,
    select(a_865,i0) = e_864,
    inference(superposition,[status(thm),theory(equality)],[c_40,c_313]) ).

tff(c_1206,plain,
    select(a_865,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1201,c_355]) ).

tff(c_88,plain,
    select(a_865,i2) = e_866,
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_1058,plain,
    select(a_865,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_88]) ).

tff(c_1830,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1058]) ).

tff(c_1839,plain,
    e_866 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1206,c_1830]) ).

tff(c_90,plain,
    select(a_865,i5) = e_868,
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_766,plain,
    select(a_865,i1) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_90]) ).

tff(c_1080,plain,
    e_868 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1058,c_766]) ).

tff(c_44,plain,
    store(a_867,i2,e_868) = a_869,
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_337,plain,
    select(a_869,i2) = e_868,
    inference(superposition,[status(thm),theory(equality)],[c_44,c_313]) ).

tff(c_1049,plain,
    select(a_869,i1) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_337]) ).

tff(c_1212,plain,
    select(a_869,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1080,c_1049]) ).

tff(c_92,plain,
    select(a_869,i1) = e_870,
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_1213,plain,
    e_870 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1212,c_92]) ).

tff(c_48,plain,
    store(a_871,i1,e_870) = a_872,
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_340,plain,
    select(a_872,i1) = e_870,
    inference(superposition,[status(thm),theory(equality)],[c_48,c_313]) ).

tff(c_96,plain,
    select(a_872,i5) = e_875,
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_764,plain,
    select(a_872,i1) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_96]) ).

tff(c_770,plain,
    e_875 = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_340,c_764]) ).

tff(c_52,plain,
    store(a_874,i2,e_875) = a_876,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_379,plain,
    select(a_876,i2) = e_875,
    inference(superposition,[status(thm),theory(equality)],[c_52,c_313]) ).

tff(c_778,plain,
    select(a_876,i2) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_379]) ).

tff(c_1043,plain,
    select(a_876,i1) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_778]) ).

tff(c_1379,plain,
    select(a_876,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1043]) ).

tff(c_100,plain,
    select(a_876,i5) = e_879,
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_767,plain,
    select(a_876,i1) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_100]) ).

tff(c_1380,plain,
    e_879 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1379,c_767]) ).

tff(c_56,plain,
    store(a_878,i2,e_879) = a_880,
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_325,plain,
    select(a_880,i2) = e_879,
    inference(superposition,[status(thm),theory(equality)],[c_56,c_313]) ).

tff(c_1051,plain,
    select(a_880,i1) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_325]) ).

tff(c_1385,plain,
    select(a_880,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1380,c_1051]) ).

tff(c_1809,plain,
    select(a_880,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1385]) ).

tff(c_2037,plain,
    select(a_880,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1839,c_1809]) ).

tff(c_102,plain,
    select(a_859,i_881) = e_882,
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_32,plain,
    store(a_857,i2,e_858) = a_859,
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_849,plain,
    ! [J_20] :
      ( ( select(a_859,J_20) = select(a_857,J_20) )
      | ( i2 = J_20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_867,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_102,c_849]) ).

tff(c_1784,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_867]) ).

tff(c_1785,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_1784]) ).

tff(c_1844,plain,
    i_881 = i0,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1785]) ).

tff(c_104,plain,
    select(a_880,i_881) = e_883,
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_1845,plain,
    select(a_880,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_1844,c_104]) ).

tff(c_2038,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_2037,c_1845]) ).

tff(c_2043,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_2038,c_108]) ).

tff(c_397,plain,
    select(a_840,i1) = e_839,
    inference(superposition,[status(thm),theory(equality)],[c_12,c_313]) ).

tff(c_1073,plain,
    select(a_840,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1062,c_397]) ).

tff(c_1827,plain,
    select(a_840,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1073]) ).

tff(c_1915,plain,
    e_843 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1827,c_68]) ).

tff(c_16,plain,
    store(a_842,i5,e_843) = a_844,
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_346,plain,
    select(a_844,i5) = e_843,
    inference(superposition,[status(thm),theory(equality)],[c_16,c_313]) ).

tff(c_752,plain,
    select(a_844,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_346]) ).

tff(c_72,plain,
    select(a_844,i2) = e_847,
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_1059,plain,
    select(a_844,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_72]) ).

tff(c_1063,plain,
    e_847 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_752,c_1059]) ).

tff(c_20,plain,
    store(a_846,i5,e_847) = a_848,
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_343,plain,
    select(a_848,i5) = e_847,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_313]) ).

tff(c_756,plain,
    select(a_848,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_343]) ).

tff(c_74,plain,
    select(a_848,i1) = e_849,
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_915,plain,
    e_849 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_756,c_74]) ).

tff(c_24,plain,
    store(a_850,i1,e_849) = a_851,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_349,plain,
    select(a_851,i1) = e_849,
    inference(superposition,[status(thm),theory(equality)],[c_24,c_313]) ).

tff(c_78,plain,
    select(a_851,i5) = e_854,
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_769,plain,
    select(a_851,i1) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_78]) ).

tff(c_772,plain,
    e_854 = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_349,c_769]) ).

tff(c_28,plain,
    store(a_853,i2,e_854) = a_855,
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_391,plain,
    select(a_855,i2) = e_854,
    inference(superposition,[status(thm),theory(equality)],[c_28,c_313]) ).

tff(c_810,plain,
    select(a_855,i2) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_391]) ).

tff(c_940,plain,
    select(a_855,i2) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_915,c_810]) ).

tff(c_1041,plain,
    select(a_855,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_940]) ).

tff(c_1390,plain,
    select(a_855,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_1041]) ).

tff(c_82,plain,
    select(a_855,i5) = e_858,
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_763,plain,
    select(a_855,i1) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_82]) ).

tff(c_1391,plain,
    e_858 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1390,c_763]) ).

tff(c_361,plain,
    select(a_859,i2) = e_858,
    inference(superposition,[status(thm),theory(equality)],[c_32,c_313]) ).

tff(c_1047,plain,
    select(a_859,i1) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_361]) ).

tff(c_1406,plain,
    select(a_859,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1391,c_1047]) ).

tff(c_1808,plain,
    select(a_859,i0) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1406]) ).

tff(c_2068,plain,
    select(a_859,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1915,c_1808]) ).

tff(c_1846,plain,
    select(a_859,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_1844,c_102]) ).

tff(c_2069,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_2068,c_1846]) ).

tff(c_2071,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2043,c_2069]) ).

tff(c_2073,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_1784]) ).

tff(c_2141,plain,
    i_881 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_2073]) ).

tff(c_2120,plain,
    i2 = i0,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1038]) ).

tff(c_858,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_849,c_102]) ).

tff(c_2283,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2120,c_858]) ).

tff(c_2284,plain,
    select(a_857,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2141,c_2283]) ).

tff(c_2124,plain,
    i5 = i0,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_745]) ).

tff(c_30,plain,
    store(a_855,i5,e_856) = a_857,
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_455,plain,
    ! [J_14] :
      ( ( select(a_857,J_14) = select(a_855,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_409]) ).

tff(c_2152,plain,
    ! [J_14] :
      ( ( select(a_857,J_14) = select(a_855,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2124,c_455]) ).

tff(c_2288,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2284,c_2152]) ).

tff(c_2294,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2141,c_2288]) ).

tff(c_2116,plain,
    select(a_840,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1073]) ).

tff(c_2195,plain,
    e_843 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_2116,c_68]) ).

tff(c_1106,plain,
    e_849 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_915]) ).

tff(c_811,plain,
    store(a_853,i2,e_849) = a_855,
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_28]) ).

tff(c_1354,plain,
    store(a_853,i1,e_843) = a_855,
    inference(demodulation,[status(thm),theory(equality)],[c_1106,c_1038,c_811]) ).

tff(c_2102,plain,
    store(a_853,i0,e_843) = a_855,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1354]) ).

tff(c_2761,plain,
    store(a_853,i0,e_837) = a_855,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2102]) ).

tff(c_943,plain,
    select(a_851,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_915,c_349]) ).

tff(c_76,plain,
    select(a_851,i2) = e_852,
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_1060,plain,
    select(a_851,i1) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_76]) ).

tff(c_1064,plain,
    e_852 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_943,c_1060]) ).

tff(c_1099,plain,
    e_852 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_1064]) ).

tff(c_26,plain,
    store(a_851,i5,e_852) = a_853,
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_759,plain,
    store(a_851,i1,e_852) = a_853,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_26]) ).

tff(c_1463,plain,
    store(a_851,i1,e_843) = a_853,
    inference(demodulation,[status(thm),theory(equality)],[c_1099,c_759]) ).

tff(c_2094,plain,
    store(a_851,i0,e_843) = a_853,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1463]) ).

tff(c_2577,plain,
    store(a_851,i0,e_837) = a_853,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2094]) ).

tff(c_945,plain,
    store(a_850,i1,e_847) = a_851,
    inference(demodulation,[status(thm),theory(equality)],[c_915,c_24]) ).

tff(c_1146,plain,
    store(a_850,i1,e_843) = a_851,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_945]) ).

tff(c_2117,plain,
    store(a_850,i0,e_843) = a_851,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1146]) ).

tff(c_2553,plain,
    store(a_850,i0,e_837) = a_851,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2117]) ).

tff(c_22,plain,
    store(a_848,i1,e_849) = a_850,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_946,plain,
    store(a_848,i1,e_847) = a_850,
    inference(demodulation,[status(thm),theory(equality)],[c_915,c_22]) ).

tff(c_1530,plain,
    store(a_848,i1,e_843) = a_850,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_946]) ).

tff(c_2090,plain,
    store(a_848,i0,e_843) = a_850,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1530]) ).

tff(c_2678,plain,
    store(a_848,i0,e_837) = a_850,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2090]) ).

tff(c_757,plain,
    store(a_846,i1,e_847) = a_848,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_20]) ).

tff(c_1103,plain,
    store(a_846,i1,e_843) = a_848,
    inference(demodulation,[status(thm),theory(equality)],[c_1063,c_757]) ).

tff(c_2079,plain,
    store(a_846,i0,e_843) = a_848,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1103]) ).

tff(c_2690,plain,
    store(a_846,i0,e_837) = a_848,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2079]) ).

tff(c_70,plain,
    select(a_844,i5) = e_845,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_557,plain,
    e_845 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_70]) ).

tff(c_18,plain,
    store(a_844,i2,e_845) = a_846,
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_562,plain,
    store(a_844,i2,e_843) = a_846,
    inference(demodulation,[status(thm),theory(equality)],[c_557,c_18]) ).

tff(c_1045,plain,
    store(a_844,i1,e_843) = a_846,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_562]) ).

tff(c_2085,plain,
    store(a_844,i0,e_843) = a_846,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1045]) ).

tff(c_2486,plain,
    store(a_844,i0,e_837) = a_846,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2085]) ).

tff(c_758,plain,
    store(a_842,i1,e_843) = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_16]) ).

tff(c_2092,plain,
    store(a_842,i0,e_843) = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_758]) ).

tff(c_2541,plain,
    store(a_842,i0,e_837) = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2092]) ).

tff(c_765,plain,
    select(a_840,i1) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_66]) ).

tff(c_771,plain,
    e_841 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_397,c_765]) ).

tff(c_14,plain,
    store(a_840,i0,e_841) = a_842,
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_785,plain,
    store(a_840,i0,e_839) = a_842,
    inference(demodulation,[status(thm),theory(equality)],[c_771,c_14]) ).

tff(c_1475,plain,
    store(a_840,i0,e_837) = a_842,
    inference(demodulation,[status(thm),theory(equality)],[c_1062,c_785]) ).

tff(c_38,plain,
    store(a_861,i5,e_862) = a_863,
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_760,plain,
    store(a_861,i1,e_862) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_38]) ).

tff(c_1675,plain,
    store(a_840,i1,e_862) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_1669,c_760]) ).

tff(c_1705,plain,
    store(a_840,i1,e_843) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_1680,c_1675]) ).

tff(c_2080,plain,
    store(a_840,i0,e_843) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1705]) ).

tff(c_2798,plain,
    a_863 = a_842,
    inference(demodulation,[status(thm),theory(equality)],[c_1475,c_2195,c_2080]) ).

tff(c_1207,plain,
    store(a_863,i0,e_837) = a_865,
    inference(demodulation,[status(thm),theory(equality)],[c_1201,c_40]) ).

tff(c_2801,plain,
    store(a_842,i0,e_837) = a_865,
    inference(demodulation,[status(thm),theory(equality)],[c_2798,c_1207]) ).

tff(c_2803,plain,
    a_865 = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_2541,c_2801]) ).

tff(c_2119,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1058]) ).

tff(c_2128,plain,
    e_866 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1206,c_2119]) ).

tff(c_42,plain,
    store(a_865,i5,e_866) = a_867,
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_761,plain,
    store(a_865,i1,e_866) = a_867,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_42]) ).

tff(c_2096,plain,
    store(a_865,i0,e_866) = a_867,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_761]) ).

tff(c_2529,plain,
    store(a_865,i0,e_837) = a_867,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2096]) ).

tff(c_2808,plain,
    store(a_844,i0,e_837) = a_867,
    inference(demodulation,[status(thm),theory(equality)],[c_2803,c_2529]) ).

tff(c_2810,plain,
    a_867 = a_846,
    inference(demodulation,[status(thm),theory(equality)],[c_2486,c_2808]) ).

tff(c_1054,plain,
    store(a_867,i1,e_868) = a_869,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_44]) ).

tff(c_1653,plain,
    store(a_867,i1,e_866) = a_869,
    inference(demodulation,[status(thm),theory(equality)],[c_1080,c_1054]) ).

tff(c_2082,plain,
    store(a_867,i0,e_866) = a_869,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1653]) ).

tff(c_2737,plain,
    store(a_867,i0,e_837) = a_869,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2082]) ).

tff(c_2816,plain,
    store(a_846,i0,e_837) = a_869,
    inference(demodulation,[status(thm),theory(equality)],[c_2810,c_2737]) ).

tff(c_2819,plain,
    a_869 = a_848,
    inference(demodulation,[status(thm),theory(equality)],[c_2690,c_2816]) ).

tff(c_46,plain,
    store(a_869,i1,e_870) = a_871,
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_1225,plain,
    store(a_869,i1,e_866) = a_871,
    inference(demodulation,[status(thm),theory(equality)],[c_1213,c_46]) ).

tff(c_2076,plain,
    store(a_869,i0,e_866) = a_871,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1225]) ).

tff(c_2749,plain,
    store(a_869,i0,e_837) = a_871,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2076]) ).

tff(c_2826,plain,
    store(a_848,i0,e_837) = a_871,
    inference(demodulation,[status(thm),theory(equality)],[c_2819,c_2749]) ).

tff(c_2828,plain,
    a_871 = a_850,
    inference(demodulation,[status(thm),theory(equality)],[c_2678,c_2826]) ).

tff(c_1224,plain,
    store(a_871,i1,e_866) = a_872,
    inference(demodulation,[status(thm),theory(equality)],[c_1213,c_48]) ).

tff(c_2075,plain,
    store(a_871,i0,e_866) = a_872,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1224]) ).

tff(c_2654,plain,
    store(a_871,i0,e_837) = a_872,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2075]) ).

tff(c_2834,plain,
    store(a_850,i0,e_837) = a_872,
    inference(demodulation,[status(thm),theory(equality)],[c_2828,c_2654]) ).

tff(c_2837,plain,
    a_872 = a_851,
    inference(demodulation,[status(thm),theory(equality)],[c_2553,c_2834]) ).

tff(c_94,plain,
    select(a_872,i2) = e_873,
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_1061,plain,
    select(a_872,i1) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_94]) ).

tff(c_1065,plain,
    e_873 = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_340,c_1061]) ).

tff(c_1218,plain,
    e_873 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1065]) ).

tff(c_50,plain,
    store(a_872,i5,e_873) = a_874,
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_762,plain,
    store(a_872,i1,e_873) = a_874,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_50]) ).

tff(c_1553,plain,
    store(a_872,i1,e_866) = a_874,
    inference(demodulation,[status(thm),theory(equality)],[c_1218,c_762]) ).

tff(c_2089,plain,
    store(a_872,i0,e_866) = a_874,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1553]) ).

tff(c_2774,plain,
    store(a_872,i0,e_837) = a_874,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2089]) ).

tff(c_2843,plain,
    store(a_851,i0,e_837) = a_874,
    inference(demodulation,[status(thm),theory(equality)],[c_2837,c_2774]) ).

tff(c_2845,plain,
    a_874 = a_853,
    inference(demodulation,[status(thm),theory(equality)],[c_2577,c_2843]) ).

tff(c_779,plain,
    store(a_874,i2,e_870) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_52]) ).

tff(c_1040,plain,
    store(a_874,i1,e_870) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_779]) ).

tff(c_1728,plain,
    store(a_874,i1,e_866) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_1213,c_1040]) ).

tff(c_2078,plain,
    store(a_874,i0,e_866) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_1728]) ).

tff(c_2565,plain,
    store(a_874,i0,e_837) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_2128,c_2078]) ).

tff(c_2852,plain,
    store(a_853,i0,e_837) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_2845,c_2565]) ).

tff(c_2854,plain,
    a_876 = a_855,
    inference(demodulation,[status(thm),theory(equality)],[c_2761,c_2852]) ).

tff(c_54,plain,
    store(a_876,i5,e_877) = a_878,
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_431,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_409]) ).

tff(c_2590,plain,
    ! [J_42] :
      ( ( select(a_878,J_42) = select(a_876,J_42) )
      | ( i0 = J_42 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2124,c_431]) ).

tff(c_428,plain,
    ! [J_14] :
      ( ( select(a_880,J_14) = select(a_878,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_2319,plain,
    ! [J_38] :
      ( ( select(a_880,J_38) = select(a_878,J_38) )
      | ( i0 = J_38 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2120,c_428]) ).

tff(c_2328,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2319,c_104]) ).

tff(c_2340,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2141,c_2328]) ).

tff(c_2596,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2590,c_2340]) ).

tff(c_2610,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2141,c_2596]) ).

tff(c_2861,plain,
    select(a_855,i_881) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_2854,c_2610]) ).

tff(c_2865,plain,
    e_883 = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_2294,c_2861]) ).

tff(c_2867,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_108,c_2865]) ).

tff(c_2869,plain,
    i1 != i0,
    inference(splitRight,[status(thm)],[c_1782]) ).

tff(c_2874,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_867]) ).

tff(c_2875,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_2874]) ).

tff(c_2897,plain,
    select(a_859,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_2875,c_102]) ).

tff(c_2900,plain,
    e_882 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1406,c_2897]) ).

tff(c_2896,plain,
    select(a_880,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_2875,c_104]) ).

tff(c_2899,plain,
    e_883 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_1385,c_2896]) ).

tff(c_2905,plain,
    e_882 != e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_2899,c_108]) ).

tff(c_2914,plain,
    e_866 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_2900,c_2905]) ).

tff(c_370,plain,
    select(a_863,i5) = e_862,
    inference(superposition,[status(thm),theory(equality)],[c_38,c_313]) ).

tff(c_754,plain,
    select(a_863,i1) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_370]) ).

tff(c_1696,plain,
    select(a_863,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_1680,c_754]) ).

tff(c_2966,plain,
    ! [J_48] :
      ( ( select(a_865,J_48) = select(a_863,J_48) )
      | ( i0 = J_48 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_2975,plain,
    ( ( select(a_863,i1) = e_866 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2966,c_1058]) ).

tff(c_2987,plain,
    ( ( e_866 = e_843 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1696,c_2975]) ).

tff(c_2989,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_2914,c_2987]) ).

tff(c_2991,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_2874]) ).

tff(c_440,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_3224,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_440]) ).

tff(c_3415,plain,
    ! [J_58] :
      ( ( select(a_872,J_58) = select(a_871,J_58) )
      | ( i1 = J_58 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_482,plain,
    ! [J_14] :
      ( ( select(a_876,J_14) = select(a_874,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_409]) ).

tff(c_1510,plain,
    ! [J_14] :
      ( ( select(a_876,J_14) = select(a_874,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_482]) ).

tff(c_3131,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_431]) ).

tff(c_3154,plain,
    ! [J_53] :
      ( ( select(a_880,J_53) = select(a_878,J_53) )
      | ( i1 = J_53 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_428]) ).

tff(c_3166,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104,c_3154]) ).

tff(c_3170,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3166]) ).

tff(c_3245,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3131,c_3170]) ).

tff(c_3249,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3245]) ).

tff(c_3332,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1510,c_3249]) ).

tff(c_3336,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3332]) ).

tff(c_485,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_50,c_409]) ).

tff(c_1633,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_485]) ).

tff(c_3389,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3336,c_1633]) ).

tff(c_3395,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3389]) ).

tff(c_3421,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3415,c_3395]) ).

tff(c_3435,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3421]) ).

tff(c_491,plain,
    ! [J_14] :
      ( ( select(a_871,J_14) = select(a_869,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_46,c_409]) ).

tff(c_3445,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3435,c_491]) ).

tff(c_3451,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3445]) ).

tff(c_3462,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3224,c_3451]) ).

tff(c_3466,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3462]) ).

tff(c_479,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_409]) ).

tff(c_1740,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_479]) ).

tff(c_4495,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3466,c_1740]) ).

tff(c_4501,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_4495]) ).

tff(c_458,plain,
    ! [J_14] :
      ( ( select(a_865,J_14) = select(a_863,J_14) )
      | ( i0 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_4508,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4501,c_458]) ).

tff(c_5179,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_4508]) ).

tff(c_5180,plain,
    select(a_865,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_5179,c_4501]) ).

tff(c_5195,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1206,c_5180]) ).

tff(c_5200,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_5195,c_108]) ).

tff(c_373,plain,
    select(a_842,i0) = e_841,
    inference(superposition,[status(thm),theory(equality)],[c_14,c_313]) ).

tff(c_784,plain,
    select(a_842,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_771,c_373]) ).

tff(c_1070,plain,
    select(a_842,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_1062,c_784]) ).

tff(c_446,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_409]) ).

tff(c_1411,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_446]) ).

tff(c_452,plain,
    ! [J_14] :
      ( ( select(a_851,J_14) = select(a_850,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_409]) ).

tff(c_3025,plain,
    ! [J_50] :
      ( ( select(a_857,J_50) = select(a_855,J_50) )
      | ( i1 = J_50 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_455]) ).

tff(c_2990,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_2874]) ).

tff(c_3031,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3025,c_2990]) ).

tff(c_3045,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3031]) ).

tff(c_494,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_1116,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_494]) ).

tff(c_3055,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3045,c_1116]) ).

tff(c_3061,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_3055]) ).

tff(c_5186,plain,
    select(a_853,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_5179,c_3061]) ).

tff(c_467,plain,
    ! [J_14] :
      ( ( select(a_853,J_14) = select(a_851,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_409]) ).

tff(c_746,plain,
    ! [J_14] :
      ( ( select(a_853,J_14) = select(a_851,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_467]) ).

tff(c_5276,plain,
    ( ( select(a_851,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5186,c_746]) ).

tff(c_5282,plain,
    select(a_851,i0) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5276]) ).

tff(c_5433,plain,
    ( ( select(a_850,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_5282]) ).

tff(c_5437,plain,
    select(a_850,i0) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5433]) ).

tff(c_488,plain,
    ! [J_14] :
      ( ( select(a_850,J_14) = select(a_848,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_5447,plain,
    ( ( select(a_848,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5437,c_488]) ).

tff(c_5453,plain,
    select(a_848,i0) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5447]) ).

tff(c_5464,plain,
    ( ( select(a_846,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1411,c_5453]) ).

tff(c_5468,plain,
    select(a_846,i0) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5464]) ).

tff(c_461,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_409]) ).

tff(c_3337,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_461]) ).

tff(c_5474,plain,
    ( ( select(a_844,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5468,c_3337]) ).

tff(c_5480,plain,
    select(a_844,i0) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5474]) ).

tff(c_449,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_3251,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_449]) ).

tff(c_5487,plain,
    ( ( select(a_842,i0) = e_882 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5480,c_3251]) ).

tff(c_5493,plain,
    ( ( e_882 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1070,c_5487]) ).

tff(c_5495,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2869,c_5200,c_5493]) ).

tff(c_5497,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_4508]) ).

tff(c_476,plain,
    ! [J_14] :
      ( ( select(a_842,J_14) = select(a_840,J_14) )
      | ( i0 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_409]) ).

tff(c_5498,plain,
    ! [J_74] :
      ( ( select(a_853,J_74) = select(a_851,J_74) )
      | ( i1 = J_74 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_467]) ).

tff(c_5504,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5498,c_3061]) ).

tff(c_5518,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5504]) ).

tff(c_5528,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5518,c_452]) ).

tff(c_5534,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5528]) ).

tff(c_5545,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_5534]) ).

tff(c_5549,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5545]) ).

tff(c_5554,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5549,c_1411]) ).

tff(c_5560,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5554]) ).

tff(c_5567,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5560,c_3337]) ).

tff(c_5573,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5567]) ).

tff(c_5580,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5573,c_3251]) ).

tff(c_5586,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_5580]) ).

tff(c_5597,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_5586]) ).

tff(c_5601,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_5497,c_5597]) ).

tff(c_473,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_409]) ).

tff(c_1311,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_473]) ).

tff(c_5949,plain,
    ! [J_77] :
      ( ( select(a_863,J_77) = select(a_840,J_77) )
      | ( i1 = J_77 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1669,c_1311]) ).

tff(c_5496,plain,
    select(a_863,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_4508]) ).

tff(c_5955,plain,
    ( ( select(a_840,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5949,c_5496]) ).

tff(c_5963,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5601,c_5955]) ).

tff(c_5965,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2991,c_108,c_5963]) ).

tff(c_5967,plain,
    i2 != i1,
    inference(splitRight,[status(thm)],[c_1033]) ).

tff(c_6149,plain,
    i2 = i0,
    inference(splitLeft,[status(thm)],[c_1019]) ).

tff(c_6171,plain,
    i1 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_5967]) ).

tff(c_6181,plain,
    select(a_861,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_367]) ).

tff(c_6256,plain,
    e_862 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6181,c_84]) ).

tff(c_6262,plain,
    select(a_863,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6256,c_754]) ).

tff(c_6750,plain,
    ! [J_89] :
      ( ( select(a_865,J_89) = select(a_863,J_89) )
      | ( i0 = J_89 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_6759,plain,
    ( ( select(a_863,i1) = e_868 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6750,c_766]) ).

tff(c_6771,plain,
    ( ( e_868 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6262,c_6759]) ).

tff(c_6772,plain,
    e_868 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6771]) ).

tff(c_6182,plain,
    select(a_869,i0) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_337]) ).

tff(c_6778,plain,
    select(a_869,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6772,c_6182]) ).

tff(c_7016,plain,
    ! [J_92] :
      ( ( select(a_872,J_92) = select(a_871,J_92) )
      | ( i1 = J_92 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_6194,plain,
    select(a_872,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_94]) ).

tff(c_7025,plain,
    ( ( select(a_871,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7016,c_6194]) ).

tff(c_7038,plain,
    select(a_871,i0) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7025]) ).

tff(c_7097,plain,
    ( ( select(a_869,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7038,c_491]) ).

tff(c_7103,plain,
    ( ( e_873 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6778,c_7097]) ).

tff(c_7104,plain,
    e_873 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7103]) ).

tff(c_364,plain,
    select(a_853,i5) = e_852,
    inference(superposition,[status(thm),theory(equality)],[c_26,c_313]) ).

tff(c_755,plain,
    select(a_853,i1) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_364]) ).

tff(c_6231,plain,
    ! [J_80] :
      ( ( select(a_855,J_80) = select(a_853,J_80) )
      | ( i0 = J_80 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_494]) ).

tff(c_6237,plain,
    ( ( select(a_853,i1) = e_858 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6231,c_763]) ).

tff(c_6245,plain,
    ( ( e_858 = e_852 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_755,c_6237]) ).

tff(c_6246,plain,
    e_858 = e_852,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6245]) ).

tff(c_6180,plain,
    select(a_859,i0) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_361]) ).

tff(c_6271,plain,
    select(a_859,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_6246,c_6180]) ).

tff(c_6628,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_858]) ).

tff(c_6629,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_6628]) ).

tff(c_6631,plain,
    select(a_859,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_6629,c_102]) ).

tff(c_6634,plain,
    e_882 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_6271,c_6631]) ).

tff(c_382,plain,
    select(a_874,i5) = e_873,
    inference(superposition,[status(thm),theory(equality)],[c_50,c_313]) ).

tff(c_753,plain,
    select(a_874,i1) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_382]) ).

tff(c_6502,plain,
    ! [J_83] :
      ( ( select(a_876,J_83) = select(a_874,J_83) )
      | ( i0 = J_83 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_482]) ).

tff(c_6511,plain,
    ( ( select(a_874,i1) = e_879 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6502,c_767]) ).

tff(c_6523,plain,
    ( ( e_879 = e_873 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_753,c_6511]) ).

tff(c_6524,plain,
    e_879 = e_873,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6523]) ).

tff(c_6184,plain,
    select(a_880,i0) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_325]) ).

tff(c_6530,plain,
    select(a_880,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_6524,c_6184]) ).

tff(c_6630,plain,
    select(a_880,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_6629,c_104]) ).

tff(c_6633,plain,
    e_883 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_6530,c_6630]) ).

tff(c_6643,plain,
    e_882 != e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_6633,c_108]) ).

tff(c_6652,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_6634,c_6643]) ).

tff(c_7109,plain,
    e_852 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_7104,c_6652]) ).

tff(c_331,plain,
    select(a_838,i2) = e_837,
    inference(superposition,[status(thm),theory(equality)],[c_10,c_313]) ).

tff(c_6183,plain,
    select(a_838,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_331]) ).

tff(c_6471,plain,
    ( ( e_843 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6183,c_728]) ).

tff(c_6472,plain,
    e_843 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6471]) ).

tff(c_358,plain,
    select(a_846,i2) = e_845,
    inference(superposition,[status(thm),theory(equality)],[c_18,c_313]) ).

tff(c_608,plain,
    select(a_846,i2) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_557,c_358]) ).

tff(c_6179,plain,
    select(a_846,i0) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_608]) ).

tff(c_6474,plain,
    select(a_846,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_6472,c_6179]) ).

tff(c_6711,plain,
    ! [J_88] :
      ( ( select(a_851,J_88) = select(a_850,J_88) )
      | ( i1 = J_88 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_409]) ).

tff(c_6193,plain,
    select(a_851,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_76]) ).

tff(c_6717,plain,
    ( ( select(a_850,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6711,c_6193]) ).

tff(c_6731,plain,
    select(a_850,i0) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6717]) ).

tff(c_6745,plain,
    ( ( select(a_848,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_6731]) ).

tff(c_6749,plain,
    select(a_848,i0) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_6745]) ).

tff(c_7127,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_446]) ).

tff(c_7211,plain,
    ( ( select(a_846,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6749,c_7127]) ).

tff(c_7217,plain,
    ( ( e_852 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6474,c_7211]) ).

tff(c_7219,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7109,c_7217]) ).

tff(c_7221,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_6628]) ).

tff(c_5966,plain,
    e_864 = e_839,
    inference(splitRight,[status(thm)],[c_1033]) ).

tff(c_5969,plain,
    select(a_865,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_5966,c_355]) ).

tff(c_6191,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_88]) ).

tff(c_6195,plain,
    e_866 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_5969,c_6191]) ).

tff(c_376,plain,
    select(a_867,i5) = e_866,
    inference(superposition,[status(thm),theory(equality)],[c_42,c_313]) ).

tff(c_751,plain,
    select(a_867,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_376]) ).

tff(c_6201,plain,
    select(a_867,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_6195,c_751]) ).

tff(c_7412,plain,
    ! [J_99] :
      ( ( select(a_869,J_99) = select(a_867,J_99) )
      | ( i0 = J_99 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_440]) ).

tff(c_7421,plain,
    ( ( select(a_867,i1) = e_870 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7412,c_92]) ).

tff(c_7433,plain,
    ( ( e_870 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6201,c_7421]) ).

tff(c_7434,plain,
    e_870 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7433]) ).

tff(c_98,plain,
    select(a_876,i2) = e_877,
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_571,plain,
    e_877 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_379,c_98]) ).

tff(c_328,plain,
    select(a_878,i5) = e_877,
    inference(superposition,[status(thm),theory(equality)],[c_54,c_313]) ).

tff(c_621,plain,
    select(a_878,i5) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_571,c_328]) ).

tff(c_749,plain,
    select(a_878,i1) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_621]) ).

tff(c_832,plain,
    select(a_878,i1) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_749]) ).

tff(c_7285,plain,
    ! [J_96] :
      ( ( select(a_880,J_96) = select(a_878,J_96) )
      | ( i0 = J_96 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_428]) ).

tff(c_7220,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_6628]) ).

tff(c_6150,plain,
    ! [J_14] :
      ( ( select(a_857,J_14) = select(a_855,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_455]) ).

tff(c_7225,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7220,c_6150]) ).

tff(c_7254,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_7225]) ).

tff(c_7257,plain,
    select(a_880,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_7254,c_104]) ).

tff(c_7291,plain,
    ( ( select(a_878,i1) = e_883 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7285,c_7257]) ).

tff(c_7305,plain,
    ( ( e_883 = e_870 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_832,c_7291]) ).

tff(c_7306,plain,
    e_883 = e_870,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7305]) ).

tff(c_7313,plain,
    ! [J_97] :
      ( ( select(a_844,J_97) = select(a_842,J_97) )
      | ( i1 = J_97 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_449]) ).

tff(c_6192,plain,
    select(a_844,i0) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_72]) ).

tff(c_7322,plain,
    ( ( select(a_842,i0) = e_847 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7313,c_6192]) ).

tff(c_7334,plain,
    ( ( e_847 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_7322]) ).

tff(c_7335,plain,
    e_847 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_6171,c_7334]) ).

tff(c_80,plain,
    select(a_855,i2) = e_856,
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_593,plain,
    e_856 = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_80]) ).

tff(c_352,plain,
    select(a_857,i5) = e_856,
    inference(superposition,[status(thm),theory(equality)],[c_30,c_313]) ).

tff(c_598,plain,
    select(a_857,i5) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_593,c_352]) ).

tff(c_750,plain,
    select(a_857,i1) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_598]) ).

tff(c_902,plain,
    select(a_857,i1) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_750]) ).

tff(c_939,plain,
    select(a_857,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_915,c_902]) ).

tff(c_7255,plain,
    select(a_857,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_7254,c_7220]) ).

tff(c_7260,plain,
    e_882 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_7255]) ).

tff(c_7265,plain,
    e_883 != e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_7260,c_108]) ).

tff(c_7341,plain,
    e_883 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_7335,c_7265]) ).

tff(c_7405,plain,
    e_870 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_7306,c_7341]) ).

tff(c_7485,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7434,c_7405]) ).

tff(c_7487,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_7225]) ).

tff(c_470,plain,
    ! [J_14] :
      ( ( select(a_861,J_14) = select(a_860,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_8694,plain,
    ! [J_110] :
      ( ( select(a_861,J_110) = select(a_860,J_110) )
      | ( i0 = J_110 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_470]) ).

tff(c_7841,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_440]) ).

tff(c_443,plain,
    ! [J_14] :
      ( ( select(a_872,J_14) = select(a_871,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_6606,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_431]) ).

tff(c_7489,plain,
    ! [J_100] :
      ( ( select(a_880,J_100) = select(a_878,J_100) )
      | ( i0 = J_100 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_428]) ).

tff(c_7498,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7489,c_104]) ).

tff(c_7510,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_7498]) ).

tff(c_7533,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6606,c_7510]) ).

tff(c_7537,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_7533]) ).

tff(c_6501,plain,
    ! [J_14] :
      ( ( select(a_876,J_14) = select(a_874,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_482]) ).

tff(c_7595,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7537,c_6501]) ).

tff(c_7601,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_7595]) ).

tff(c_7234,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_485]) ).

tff(c_8113,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7601,c_7234]) ).

tff(c_8119,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8113]) ).

tff(c_8130,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_443,c_8119]) ).

tff(c_8134,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8130]) ).

tff(c_8526,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8134,c_491]) ).

tff(c_8532,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8526]) ).

tff(c_8543,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7841,c_8532]) ).

tff(c_8547,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_8543]) ).

tff(c_6405,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_479]) ).

tff(c_8563,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8547,c_6405]) ).

tff(c_8569,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8563]) ).

tff(c_8577,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8569,c_458]) ).

tff(c_8583,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_8577]) ).

tff(c_8064,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_473]) ).

tff(c_8590,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8583,c_8064]) ).

tff(c_8596,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8590]) ).

tff(c_8700,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8694,c_8596]) ).

tff(c_8720,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_8700]) ).

tff(c_497,plain,
    ! [J_14] :
      ( ( select(a_860,J_14) = select(a_836,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_34,c_409]) ).

tff(c_8732,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8720,c_497]) ).

tff(c_8738,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8732]) ).

tff(c_8973,plain,
    ! [J_113] :
      ( ( select(a_853,J_113) = select(a_851,J_113) )
      | ( i1 = J_113 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_467]) ).

tff(c_6230,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_494]) ).

tff(c_7486,plain,
    select(a_855,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_7225]) ).

tff(c_7521,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6230,c_7486]) ).

tff(c_7525,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_7521]) ).

tff(c_8982,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8973,c_7525]) ).

tff(c_8994,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_8982]) ).

tff(c_9309,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8994,c_452]) ).

tff(c_9315,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_9309]) ).

tff(c_9326,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_9315]) ).

tff(c_9330,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_9326]) ).

tff(c_8136,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_446]) ).

tff(c_9335,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9330,c_8136]) ).

tff(c_9341,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_9335]) ).

tff(c_6296,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_461]) ).

tff(c_9348,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9341,c_6296]) ).

tff(c_9354,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_9348]) ).

tff(c_7604,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_449]) ).

tff(c_9361,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9354,c_7604]) ).

tff(c_9367,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_9361]) ).

tff(c_9378,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_9367]) ).

tff(c_9382,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_9378]) ).

tff(c_500,plain,
    ! [J_14] :
      ( ( select(a_840,J_14) = select(a_838,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_409]) ).

tff(c_9388,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9382,c_500]) ).

tff(c_9394,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_7487,c_9388]) ).

tff(c_6186,plain,
    store(a_836,i0,e_837) = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_6149,c_10]) ).

tff(c_4,plain,
    ! [A_6,I_4,E_7,J_5] :
      ( ( select(store(A_6,I_4,E_7),J_5) = select(A_6,J_5) )
      | ( J_5 = I_4 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_6386,plain,
    ! [J_5] :
      ( ( select(a_838,J_5) = select(a_836,J_5) )
      | ( i0 = J_5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6186,c_4]) ).

tff(c_9401,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9394,c_6386]) ).

tff(c_9407,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8738,c_9401]) ).

tff(c_9409,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7221,c_108,c_9407]) ).

tff(c_9411,plain,
    i2 != i0,
    inference(splitRight,[status(thm)],[c_1019]) ).

tff(c_9422,plain,
    i1 = i0,
    inference(splitLeft,[status(thm)],[c_728]) ).

tff(c_9448,plain,
    select(a_865,i0) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_766]) ).

tff(c_9463,plain,
    e_868 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_5969,c_9448]) ).

tff(c_9482,plain,
    select(a_869,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_9463,c_337]) ).

tff(c_15644,plain,
    ! [J_193] :
      ( ( select(a_871,J_193) = select(a_869,J_193) )
      | ( i0 = J_193 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_491]) ).

tff(c_14782,plain,
    ! [J_182] :
      ( ( select(a_872,J_182) = select(a_871,J_182) )
      | ( i0 = J_182 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_443]) ).

tff(c_14791,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14782,c_94]) ).

tff(c_14804,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_14791]) ).

tff(c_15650,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15644,c_14804]) ).

tff(c_15664,plain,
    ( ( e_873 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9482,c_15650]) ).

tff(c_15665,plain,
    e_873 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_15664]) ).

tff(c_9441,plain,
    select(a_853,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_755]) ).

tff(c_14826,plain,
    ! [J_183] :
      ( ( select(a_855,J_183) = select(a_853,J_183) )
      | ( i2 = J_183 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_9440,plain,
    select(a_855,i0) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_763]) ).

tff(c_14832,plain,
    ( ( select(a_853,i0) = e_858 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14826,c_9440]) ).

tff(c_14846,plain,
    ( ( e_858 = e_852 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9441,c_14832]) ).

tff(c_14847,plain,
    e_858 = e_852,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_14846]) ).

tff(c_9443,plain,
    select(a_874,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_753]) ).

tff(c_14576,plain,
    ! [J_179] :
      ( ( select(a_876,J_179) = select(a_874,J_179) )
      | ( i2 = J_179 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_409]) ).

tff(c_9442,plain,
    select(a_876,i0) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_767]) ).

tff(c_14582,plain,
    ( ( select(a_874,i0) = e_879 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14576,c_9442]) ).

tff(c_14596,plain,
    ( ( e_879 = e_873 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9443,c_14582]) ).

tff(c_14597,plain,
    e_879 = e_873,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_14596]) ).

tff(c_14319,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_867]) ).

tff(c_14321,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_14319,c_102]) ).

tff(c_14324,plain,
    e_882 = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_361,c_14321]) ).

tff(c_14320,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_14319,c_104]) ).

tff(c_14323,plain,
    e_883 = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_325,c_14320]) ).

tff(c_14329,plain,
    e_882 != e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_14323,c_108]) ).

tff(c_14338,plain,
    e_879 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_14324,c_14329]) ).

tff(c_14603,plain,
    e_873 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_14597,c_14338]) ).

tff(c_14853,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_14847,c_14603]) ).

tff(c_15673,plain,
    e_852 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_15665,c_14853]) ).

tff(c_9456,plain,
    select(a_840,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_397]) ).

tff(c_9514,plain,
    e_843 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_9456,c_68]) ).

tff(c_9549,plain,
    select(a_846,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_9514,c_608]) ).

tff(c_15802,plain,
    ! [J_195] :
      ( ( select(a_850,J_195) = select(a_848,J_195) )
      | ( i0 = J_195 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_488]) ).

tff(c_9667,plain,
    ! [J_118] :
      ( ( select(a_851,J_118) = select(a_850,J_118) )
      | ( i0 = J_118 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_452]) ).

tff(c_9676,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9667,c_76]) ).

tff(c_9689,plain,
    select(a_850,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_9676]) ).

tff(c_15811,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15802,c_9689]) ).

tff(c_15824,plain,
    select(a_848,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_15811]) ).

tff(c_9450,plain,
    i5 = i0,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_745]) ).

tff(c_14723,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_446]) ).

tff(c_15832,plain,
    ( ( select(a_846,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15824,c_14723]) ).

tff(c_15838,plain,
    ( ( e_852 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9549,c_15832]) ).

tff(c_15840,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_15673,c_15838]) ).

tff(c_15842,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_867]) ).

tff(c_434,plain,
    ! [J_14] :
      ( ( select(a_838,J_14) = select(a_836,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_409]) ).

tff(c_17699,plain,
    ! [J_215] :
      ( ( select(a_863,J_215) = select(a_861,J_215) )
      | ( i0 = J_215 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_473]) ).

tff(c_9599,plain,
    ! [J_117] :
      ( ( select(a_865,J_117) = select(a_863,J_117) )
      | ( i0 = J_117 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_9608,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9599,c_88]) ).

tff(c_9621,plain,
    select(a_863,i2) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_9608]) ).

tff(c_17705,plain,
    ( ( select(a_861,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17699,c_9621]) ).

tff(c_17719,plain,
    ( ( e_866 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_17705]) ).

tff(c_17720,plain,
    e_866 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_17719]) ).

tff(c_9447,plain,
    select(a_867,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_751]) ).

tff(c_17729,plain,
    select(a_867,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_17720,c_9447]) ).

tff(c_17933,plain,
    ! [J_219] :
      ( ( select(a_869,J_219) = select(a_867,J_219) )
      | ( i2 = J_219 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_9462,plain,
    select(a_869,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_92]) ).

tff(c_17942,plain,
    ( ( select(a_867,i0) = e_870 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17933,c_9462]) ).

tff(c_17954,plain,
    ( ( e_870 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_17729,c_17942]) ).

tff(c_17955,plain,
    e_870 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_17954]) ).

tff(c_9435,plain,
    select(a_857,i0) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_939]) ).

tff(c_17806,plain,
    ! [J_217] :
      ( ( select(a_880,J_217) = select(a_878,J_217) )
      | ( i2 = J_217 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_17815,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17806,c_104]) ).

tff(c_17827,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_17815]) ).

tff(c_9853,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_431]) ).

tff(c_17834,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17827,c_9853]) ).

tff(c_17876,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_17834]) ).

tff(c_15841,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_867]) ).

tff(c_17878,plain,
    select(a_857,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_17876,c_15841]) ).

tff(c_17884,plain,
    e_882 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_9435,c_17878]) ).

tff(c_9446,plain,
    select(a_878,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_832]) ).

tff(c_17877,plain,
    select(a_878,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_17876,c_17827]) ).

tff(c_17883,plain,
    e_883 = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_9446,c_17877]) ).

tff(c_17889,plain,
    e_882 != e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_17883,c_108]) ).

tff(c_17894,plain,
    e_870 != e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_17884,c_17889]) ).

tff(c_17961,plain,
    e_847 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_17955,c_17894]) ).

tff(c_18731,plain,
    ! [J_228] :
      ( ( select(a_840,J_228) = select(a_838,J_228) )
      | ( i0 = J_228 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_500]) ).

tff(c_9753,plain,
    ! [J_119] :
      ( ( select(a_844,J_119) = select(a_842,J_119) )
      | ( i0 = J_119 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_449]) ).

tff(c_9762,plain,
    ( ( select(a_842,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9753,c_72]) ).

tff(c_9775,plain,
    select(a_842,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_9762]) ).

tff(c_9783,plain,
    ( ( select(a_840,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9775,c_476]) ).

tff(c_9789,plain,
    select(a_840,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_9783]) ).

tff(c_18740,plain,
    ( ( select(a_838,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18731,c_9789]) ).

tff(c_18752,plain,
    ( ( e_847 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_18740]) ).

tff(c_18754,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_17961,c_18752]) ).

tff(c_18756,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_17834]) ).

tff(c_19521,plain,
    ! [J_237] :
      ( ( select(a_850,J_237) = select(a_848,J_237) )
      | ( i0 = J_237 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_488]) ).

tff(c_19432,plain,
    ! [J_236] :
      ( ( select(a_853,J_236) = select(a_851,J_236) )
      | ( i0 = J_236 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_746]) ).

tff(c_599,plain,
    store(a_855,i5,e_854) = a_857,
    inference(demodulation,[status(thm),theory(equality)],[c_593,c_30]) ).

tff(c_651,plain,
    ! [J_5] :
      ( ( select(a_857,J_5) = select(a_855,J_5) )
      | ( i5 = J_5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_599,c_4]) ).

tff(c_19151,plain,
    ! [J_234] :
      ( ( select(a_857,J_234) = select(a_855,J_234) )
      | ( i0 = J_234 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_651]) ).

tff(c_19157,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19151,c_15841]) ).

tff(c_19171,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19157]) ).

tff(c_19254,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_494,c_19171]) ).

tff(c_19258,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_19254]) ).

tff(c_19438,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19432,c_19258]) ).

tff(c_19452,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19438]) ).

tff(c_9666,plain,
    ! [J_14] :
      ( ( select(a_851,J_14) = select(a_850,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_452]) ).

tff(c_19462,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19452,c_9666]) ).

tff(c_19468,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19462]) ).

tff(c_19527,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19521,c_19468]) ).

tff(c_19547,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19527]) ).

tff(c_15876,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_446]) ).

tff(c_19973,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19547,c_15876]) ).

tff(c_19979,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19973]) ).

tff(c_20022,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19979,c_461]) ).

tff(c_20028,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_20022]) ).

tff(c_9752,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_449]) ).

tff(c_20037,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20028,c_9752]) ).

tff(c_20043,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20037]) ).

tff(c_20067,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_20043]) ).

tff(c_20071,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20067]) ).

tff(c_9451,plain,
    ! [J_14] :
      ( ( select(a_840,J_14) = select(a_838,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_500]) ).

tff(c_20091,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20071,c_9451]) ).

tff(c_20097,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20091]) ).

tff(c_20121,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_20097]) ).

tff(c_20125,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_20121]) ).

tff(c_9428,plain,
    ! [J_14] :
      ( ( select(a_860,J_14) = select(a_836,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_497]) ).

tff(c_17698,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_473]) ).

tff(c_17856,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_479]) ).

tff(c_17759,plain,
    ! [J_14] :
      ( ( select(a_872,J_14) = select(a_871,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_443]) ).

tff(c_18755,plain,
    select(a_876,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_17834]) ).

tff(c_18844,plain,
    ! [J_231] :
      ( ( select(a_876,J_231) = select(a_874,J_231) )
      | ( i2 = J_231 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_409]) ).

tff(c_18862,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18755,c_18844]) ).

tff(c_18875,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_18862]) ).

tff(c_18763,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9450,c_485]) ).

tff(c_18927,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18875,c_18763]) ).

tff(c_18933,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_18927]) ).

tff(c_18944,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17759,c_18933]) ).

tff(c_18948,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_18944]) ).

tff(c_19657,plain,
    ! [J_238] :
      ( ( select(a_871,J_238) = select(a_869,J_238) )
      | ( i0 = J_238 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9422,c_491]) ).

tff(c_19675,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18948,c_19657]) ).

tff(c_19689,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_19675]) ).

tff(c_19989,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_19689]) ).

tff(c_19993,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_19989]) ).

tff(c_20003,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17856,c_19993]) ).

tff(c_20007,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20003]) ).

tff(c_20054,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_20007]) ).

tff(c_20058,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20054]) ).

tff(c_20081,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17698,c_20058]) ).

tff(c_20085,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20081]) ).

tff(c_20107,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_20085]) ).

tff(c_20111,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_15842,c_20107]) ).

tff(c_20134,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9428,c_20111]) ).

tff(c_20138,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_18756,c_20134]) ).

tff(c_20150,plain,
    e_883 = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_20125,c_20138]) ).

tff(c_20151,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_108,c_20150]) ).

tff(c_20153,plain,
    i1 != i0,
    inference(splitRight,[status(thm)],[c_728]) ).

tff(c_20152,plain,
    select(a_838,i0) = e_843,
    inference(splitRight,[status(thm)],[c_728]) ).

tff(c_20157,plain,
    ( ( select(a_836,i0) = e_843 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20152,c_434]) ).

tff(c_20163,plain,
    select(a_836,i0) = e_843,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_20157]) ).

tff(c_9410,plain,
    select(a_860,i0) = e_862,
    inference(splitRight,[status(thm)],[c_1019]) ).

tff(c_9419,plain,
    ( ( select(a_836,i0) = e_862 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_497,c_9410]) ).

tff(c_20581,plain,
    ( ( e_862 = e_843 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_20163,c_9419]) ).

tff(c_20582,plain,
    e_862 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_20153,c_20581]) ).

tff(c_20504,plain,
    ! [J_245] :
      ( ( select(a_865,J_245) = select(a_863,J_245) )
      | ( i0 = J_245 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_20513,plain,
    ( ( select(a_863,i1) = e_868 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20504,c_766]) ).

tff(c_20531,plain,
    ( ( e_868 = e_862 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_20513]) ).

tff(c_20532,plain,
    e_868 = e_862,
    inference(negUnitSimplification,[status(thm)],[c_20153,c_20531]) ).

tff(c_20540,plain,
    select(a_869,i2) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_20532,c_337]) ).

tff(c_20584,plain,
    select(a_869,i2) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_20582,c_20540]) ).

tff(c_21307,plain,
    ! [J_256] :
      ( ( select(a_872,J_256) = select(a_871,J_256) )
      | ( i1 = J_256 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_21313,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21307,c_94]) ).

tff(c_21321,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21313]) ).

tff(c_21363,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21321,c_491]) ).

tff(c_21369,plain,
    ( ( e_873 = e_843 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_20584,c_21363]) ).

tff(c_21370,plain,
    e_873 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21369]) ).

tff(c_20898,plain,
    ! [J_251] :
      ( ( select(a_876,J_251) = select(a_874,J_251) )
      | ( i2 = J_251 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_409]) ).

tff(c_20904,plain,
    ( ( select(a_874,i1) = e_879 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20898,c_767]) ).

tff(c_20918,plain,
    ( ( e_879 = e_873 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_753,c_20904]) ).

tff(c_20919,plain,
    e_879 = e_873,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_20918]) ).

tff(c_20809,plain,
    ! [J_250] :
      ( ( select(a_855,J_250) = select(a_853,J_250) )
      | ( i2 = J_250 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_20818,plain,
    ( ( select(a_853,i1) = e_858 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20809,c_763]) ).

tff(c_20830,plain,
    ( ( e_858 = e_852 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_755,c_20818]) ).

tff(c_20831,plain,
    e_858 = e_852,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_20830]) ).

tff(c_20191,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_867]) ).

tff(c_20193,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_20191,c_102]) ).

tff(c_20196,plain,
    e_882 = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_361,c_20193]) ).

tff(c_20192,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_20191,c_104]) ).

tff(c_20195,plain,
    e_883 = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_325,c_20192]) ).

tff(c_20205,plain,
    e_882 != e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_20195,c_108]) ).

tff(c_20214,plain,
    e_879 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_20196,c_20205]) ).

tff(c_20836,plain,
    e_879 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_20831,c_20214]) ).

tff(c_20925,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_20919,c_20836]) ).

tff(c_21379,plain,
    e_852 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_21370,c_20925]) ).

tff(c_21244,plain,
    ! [J_255] :
      ( ( select(a_851,J_255) = select(a_850,J_255) )
      | ( i1 = J_255 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_409]) ).

tff(c_21250,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21244,c_76]) ).

tff(c_21258,plain,
    select(a_850,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21250]) ).

tff(c_21327,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21258,c_488]) ).

tff(c_21333,plain,
    select(a_848,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21327]) ).

tff(c_20431,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_446]) ).

tff(c_21455,plain,
    ( ( select(a_846,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21333,c_20431]) ).

tff(c_21461,plain,
    ( ( e_852 = e_843 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_608,c_21455]) ).

tff(c_21463,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21379,c_21461]) ).

tff(c_21465,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_867]) ).

tff(c_21481,plain,
    ! [J_257] :
      ( ( select(a_844,J_257) = select(a_842,J_257) )
      | ( i1 = J_257 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_449]) ).

tff(c_21490,plain,
    ( ( select(a_842,i2) = e_847 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21481,c_72]) ).

tff(c_21502,plain,
    select(a_842,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21490]) ).

tff(c_21509,plain,
    ( ( select(a_840,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21502,c_476]) ).

tff(c_21515,plain,
    select(a_840,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_21509]) ).

tff(c_21522,plain,
    ( ( select(a_838,i2) = e_847 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21515,c_500]) ).

tff(c_21528,plain,
    ( ( e_847 = e_837 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_21522]) ).

tff(c_21529,plain,
    e_847 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21528]) ).

tff(c_21541,plain,
    select(a_857,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_21529,c_939]) ).

tff(c_22087,plain,
    ! [J_266] :
      ( ( select(a_880,J_266) = select(a_878,J_266) )
      | ( i2 = J_266 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_22096,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22087,c_104]) ).

tff(c_22108,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_22096]) ).

tff(c_21755,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_431]) ).

tff(c_22115,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22108,c_21755]) ).

tff(c_22271,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_22115]) ).

tff(c_21464,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_867]) ).

tff(c_22273,plain,
    select(a_857,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_22271,c_21464]) ).

tff(c_22279,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_21541,c_22273]) ).

tff(c_21931,plain,
    ! [J_264] :
      ( ( select(a_869,J_264) = select(a_867,J_264) )
      | ( i2 = J_264 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_21940,plain,
    ( ( select(a_867,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21931,c_92]) ).

tff(c_21952,plain,
    ( ( e_870 = e_866 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_751,c_21940]) ).

tff(c_21953,plain,
    e_870 = e_866,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_21952]) ).

tff(c_21961,plain,
    select(a_878,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_21953,c_832]) ).

tff(c_22272,plain,
    select(a_878,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_22271,c_22108]) ).

tff(c_22278,plain,
    e_883 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_21961,c_22272]) ).

tff(c_22358,plain,
    e_882 != e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_22278,c_108]) ).

tff(c_22363,plain,
    e_866 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_22279,c_22358]) ).

tff(c_22284,plain,
    ! [J_268] :
      ( ( select(a_865,J_268) = select(a_863,J_268) )
      | ( i0 = J_268 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_22296,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22284,c_88]) ).

tff(c_22313,plain,
    select(a_863,i2) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_9411,c_22296]) ).

tff(c_22184,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_473]) ).

tff(c_22424,plain,
    ( ( select(a_861,i2) = e_866 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22313,c_22184]) ).

tff(c_22430,plain,
    ( ( e_866 = e_837 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_22424]) ).

tff(c_22432,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5967,c_22363,c_22430]) ).

tff(c_22434,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_22115]) ).

tff(c_22560,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_479]) ).

tff(c_22879,plain,
    ! [J_274] :
      ( ( select(a_874,J_274) = select(a_872,J_274) )
      | ( i1 = J_274 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_485]) ).

tff(c_22433,plain,
    select(a_876,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_22115]) ).

tff(c_22438,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22433,c_482]) ).

tff(c_22444,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_22438]) ).

tff(c_22888,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22879,c_22444]) ).

tff(c_22901,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_22888]) ).

tff(c_22910,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22901,c_443]) ).

tff(c_22916,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_22910]) ).

tff(c_24658,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22916,c_491]) ).

tff(c_24664,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_24658]) ).

tff(c_24673,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24664,c_440]) ).

tff(c_24679,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_24673]) ).

tff(c_24690,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22560,c_24679]) ).

tff(c_24694,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_24690]) ).

tff(c_24700,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24694,c_458]) ).

tff(c_26431,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_24700]) ).

tff(c_26440,plain,
    select(a_865,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_26431,c_24694]) ).

tff(c_26455,plain,
    e_883 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_5969,c_26440]) ).

tff(c_21480,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_449]) ).

tff(c_21804,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_446]) ).

tff(c_20170,plain,
    ! [J_14] :
      ( ( select(a_857,J_14) = select(a_855,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_745,c_455]) ).

tff(c_21473,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20170,c_21464]) ).

tff(c_25610,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_21473]) ).

tff(c_25614,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25610,c_494]) ).

tff(c_25620,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_25614]) ).

tff(c_25645,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25620,c_746]) ).

tff(c_25651,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_25645]) ).

tff(c_25658,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25651,c_452]) ).

tff(c_25664,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_25658]) ).

tff(c_25671,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25664,c_488]) ).

tff(c_25677,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_25671]) ).

tff(c_25688,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21804,c_25677]) ).

tff(c_25692,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_25688]) ).

tff(c_25879,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25692,c_461]) ).

tff(c_25885,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_25879]) ).

tff(c_25896,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21480,c_25885]) ).

tff(c_25900,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_25896]) ).

tff(c_26432,plain,
    select(a_842,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_26431,c_25900]) ).

tff(c_26454,plain,
    e_882 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_26432]) ).

tff(c_26460,plain,
    e_883 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_26454,c_108]) ).

tff(c_26499,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_26455,c_26460]) ).

tff(c_26500,plain,
    select(a_863,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_24700]) ).

tff(c_26505,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26500,c_22184]) ).

tff(c_26511,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_26505]) ).

tff(c_26521,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_26511]) ).

tff(c_26525,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_26521]) ).

tff(c_26534,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_497,c_26525]) ).

tff(c_26538,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_26534]) ).

tff(c_26501,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_24700]) ).

tff(c_25916,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25900,c_476]) ).

tff(c_26602,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_26501,c_25916]) ).

tff(c_26606,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26602,c_500]) ).

tff(c_26612,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_22434,c_26606]) ).

tff(c_26618,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26612,c_434]) ).

tff(c_26624,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26538,c_26618]) ).

tff(c_26626,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_21465,c_108,c_26624]) ).

tff(c_26628,plain,
    i5 != i1,
    inference(splitRight,[status(thm)],[c_725]) ).

tff(c_66930,plain,
    i5 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_26628]) ).

tff(c_740,plain,
    ( ( select(a_838,i0) = e_843 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_68,c_716]) ).

tff(c_26659,plain,
    i1 = i0,
    inference(splitLeft,[status(thm)],[c_740]) ).

tff(c_26629,plain,
    ! [J_284] :
      ( ( select(a_876,J_284) = select(a_874,J_284) )
      | ( i2 = J_284 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_409]) ).

tff(c_26638,plain,
    ( ( select(a_874,i5) = e_879 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26629,c_100]) ).

tff(c_26650,plain,
    ( ( e_879 = e_873 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_26638]) ).

tff(c_26658,plain,
    i5 = i2,
    inference(splitLeft,[status(thm)],[c_26650]) ).

tff(c_26661,plain,
    i2 != i1,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_26628]) ).

tff(c_26760,plain,
    i2 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_26661]) ).

tff(c_26704,plain,
    select(a_840,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_397]) ).

tff(c_26964,plain,
    e_843 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_26704,c_68]) ).

tff(c_26668,plain,
    select(a_844,i2) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_346]) ).

tff(c_27003,plain,
    select(a_844,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_26964,c_26668]) ).

tff(c_27004,plain,
    e_847 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_27003,c_72]) ).

tff(c_26672,plain,
    select(a_848,i2) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_343]) ).

tff(c_27034,plain,
    select(a_848,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_26672]) ).

tff(c_27474,plain,
    ! [J_295] :
      ( ( select(a_851,J_295) = select(a_850,J_295) )
      | ( i0 = J_295 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_452]) ).

tff(c_27483,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27474,c_76]) ).

tff(c_27496,plain,
    select(a_850,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_27483]) ).

tff(c_27453,plain,
    ! [J_14] :
      ( ( select(a_850,J_14) = select(a_848,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_488]) ).

tff(c_27504,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27496,c_27453]) ).

tff(c_27510,plain,
    ( ( e_852 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_27034,c_27504]) ).

tff(c_27511,plain,
    e_852 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_27510]) ).

tff(c_26685,plain,
    select(a_851,i2) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_78]) ).

tff(c_26692,plain,
    e_854 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_76,c_26685]) ).

tff(c_26679,plain,
    select(a_855,i2) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_82]) ).

tff(c_26687,plain,
    e_858 = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_26679]) ).

tff(c_26724,plain,
    select(a_859,i2) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_26687,c_361]) ).

tff(c_26849,plain,
    select(a_859,i2) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_26692,c_26724]) ).

tff(c_26737,plain,
    ! [J_285] :
      ( ( select(a_880,J_285) = select(a_878,J_285) )
      | ( i2 = J_285 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_26746,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26737,c_104]) ).

tff(c_27405,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_26746]) ).

tff(c_27407,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_27405,c_102]) ).

tff(c_27410,plain,
    e_882 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_26849,c_27407]) ).

tff(c_26680,plain,
    select(a_872,i2) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_96]) ).

tff(c_26688,plain,
    e_875 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_26680]) ).

tff(c_26683,plain,
    select(a_876,i2) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_100]) ).

tff(c_26690,plain,
    e_879 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_379,c_26683]) ).

tff(c_26779,plain,
    e_879 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_26688,c_26690]) ).

tff(c_26780,plain,
    select(a_880,i2) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_26779,c_325]) ).

tff(c_27406,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_27405,c_104]) ).

tff(c_27409,plain,
    e_883 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_26780,c_27406]) ).

tff(c_27435,plain,
    e_882 != e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_27409,c_108]) ).

tff(c_27444,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_27410,c_27435]) ).

tff(c_27516,plain,
    e_873 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_27511,c_27444]) ).

tff(c_26703,plain,
    select(a_860,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_394]) ).

tff(c_28930,plain,
    ! [J_311] :
      ( ( select(a_861,J_311) = select(a_860,J_311) )
      | ( i2 = J_311 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_28939,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28930,c_84]) ).

tff(c_28951,plain,
    ( ( e_862 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26703,c_28939]) ).

tff(c_28952,plain,
    e_862 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_28951]) ).

tff(c_26670,plain,
    select(a_863,i2) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_370]) ).

tff(c_26804,plain,
    ! [J_286] :
      ( ( select(a_865,J_286) = select(a_863,J_286) )
      | ( i0 = J_286 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_26816,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_88,c_26804]) ).

tff(c_26820,plain,
    select(a_863,i2) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_26816]) ).

tff(c_27043,plain,
    e_866 = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_26670,c_26820]) ).

tff(c_26682,plain,
    select(a_865,i2) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_90]) ).

tff(c_26689,plain,
    e_868 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_88,c_26682]) ).

tff(c_26786,plain,
    select(a_869,i2) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_26689,c_337]) ).

tff(c_27044,plain,
    select(a_869,i2) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_27043,c_26786]) ).

tff(c_28960,plain,
    select(a_869,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_28952,c_27044]) ).

tff(c_29608,plain,
    ! [J_318] :
      ( ( select(a_871,J_318) = select(a_869,J_318) )
      | ( i0 = J_318 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_491]) ).

tff(c_29131,plain,
    ! [J_313] :
      ( ( select(a_872,J_313) = select(a_871,J_313) )
      | ( i0 = J_313 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_443]) ).

tff(c_29140,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29131,c_94]) ).

tff(c_29153,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_29140]) ).

tff(c_29614,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29608,c_29153]) ).

tff(c_29628,plain,
    ( ( e_873 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28960,c_29614]) ).

tff(c_29630,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_27516,c_29628]) ).

tff(c_29632,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_26746]) ).

tff(c_26684,plain,
    select(a_861,i2) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_86]) ).

tff(c_26691,plain,
    e_864 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_26684]) ).

tff(c_26769,plain,
    select(a_865,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_26691,c_355]) ).

tff(c_30322,plain,
    ! [J_329] :
      ( ( select(a_867,J_329) = select(a_865,J_329) )
      | ( i2 = J_329 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_479]) ).

tff(c_27083,plain,
    ! [J_290] :
      ( ( select(a_869,J_290) = select(a_867,J_290) )
      | ( i2 = J_290 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_26712,plain,
    select(a_869,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_92]) ).

tff(c_27092,plain,
    ( ( select(a_867,i0) = e_870 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27083,c_26712]) ).

tff(c_27105,plain,
    select(a_867,i0) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_27092]) ).

tff(c_30331,plain,
    ( ( select(a_865,i0) = e_870 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30322,c_27105]) ).

tff(c_30344,plain,
    ( ( e_870 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26769,c_30331]) ).

tff(c_30345,plain,
    e_870 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_30344]) ).

tff(c_26699,plain,
    select(a_872,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_340]) ).

tff(c_30355,plain,
    select(a_872,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_30345,c_26699]) ).

tff(c_29631,plain,
    select(a_878,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_26746]) ).

tff(c_26938,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_431]) ).

tff(c_29636,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29631,c_26938]) ).

tff(c_29642,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_29636]) ).

tff(c_29652,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_482,c_29642]) ).

tff(c_29656,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_29652]) ).

tff(c_29657,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_485]) ).

tff(c_29681,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29656,c_29657]) ).

tff(c_29687,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_29681]) ).

tff(c_30239,plain,
    ! [J_328] :
      ( ( select(a_872,J_328) = select(a_871,J_328) )
      | ( i0 = J_328 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_443]) ).

tff(c_30257,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29687,c_30239]) ).

tff(c_31644,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_30257]) ).

tff(c_31648,plain,
    select(a_872,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_31644,c_29687]) ).

tff(c_31656,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_30355,c_31648]) ).

tff(c_31661,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_31656,c_108]) ).

tff(c_26627,plain,
    select(a_838,i5) = e_841,
    inference(splitRight,[status(thm)],[c_725]) ).

tff(c_26660,plain,
    select(a_838,i2) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_26627]) ).

tff(c_26686,plain,
    e_841 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_26660]) ).

tff(c_26718,plain,
    select(a_842,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_26686,c_373]) ).

tff(c_30366,plain,
    ! [J_330] :
      ( ( select(a_846,J_330) = select(a_844,J_330) )
      | ( i2 = J_330 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_409]) ).

tff(c_29927,plain,
    ! [J_324] :
      ( ( select(a_848,J_324) = select(a_846,J_324) )
      | ( i2 = J_324 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_446]) ).

tff(c_26713,plain,
    select(a_848,i0) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_74]) ).

tff(c_29936,plain,
    ( ( select(a_846,i0) = e_849 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29927,c_26713]) ).

tff(c_29949,plain,
    select(a_846,i0) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_29936]) ).

tff(c_30372,plain,
    ( ( select(a_844,i0) = e_849 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30366,c_29949]) ).

tff(c_30386,plain,
    select(a_844,i0) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_30372]) ).

tff(c_30436,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_449]) ).

tff(c_30457,plain,
    ( ( select(a_842,i0) = e_849 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30386,c_30436]) ).

tff(c_30463,plain,
    ( ( e_849 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26718,c_30457]) ).

tff(c_30464,plain,
    e_849 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_30463]) ).

tff(c_26700,plain,
    select(a_851,i0) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_349]) ).

tff(c_30472,plain,
    select(a_851,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_30464,c_26700]) ).

tff(c_27009,plain,
    ! [J_289] :
      ( ( select(a_859,J_289) = select(a_857,J_289) )
      | ( i2 = J_289 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_27018,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27009,c_102]) ).

tff(c_29698,plain,
    select(a_857,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_27018]) ).

tff(c_30104,plain,
    ! [J_326] :
      ( ( select(a_857,J_326) = select(a_855,J_326) )
      | ( i2 = J_326 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_455]) ).

tff(c_30119,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29698,c_30104]) ).

tff(c_30128,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_30119]) ).

tff(c_30196,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30128,c_494]) ).

tff(c_30202,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_30196]) ).

tff(c_31645,plain,
    select(a_853,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_31644,c_30202]) ).

tff(c_26662,plain,
    ! [J_14] :
      ( ( select(a_853,J_14) = select(a_851,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_467]) ).

tff(c_31954,plain,
    ( ( select(a_851,i0) = e_882 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31645,c_26662]) ).

tff(c_31960,plain,
    ( ( e_882 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30472,c_31954]) ).

tff(c_31962,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26760,c_31661,c_31960]) ).

tff(c_31964,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_30257]) ).

tff(c_26697,plain,
    ! [J_14] :
      ( ( select(a_840,J_14) = select(a_838,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_500]) ).

tff(c_29706,plain,
    ! [J_14] :
      ( ( select(a_850,J_14) = select(a_848,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_488]) ).

tff(c_31971,plain,
    ! [J_339] :
      ( ( select(a_853,J_339) = select(a_851,J_339) )
      | ( i2 = J_339 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_467]) ).

tff(c_31980,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31971,c_30202]) ).

tff(c_31993,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_31980]) ).

tff(c_30022,plain,
    ! [J_14] :
      ( ( select(a_851,J_14) = select(a_850,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_452]) ).

tff(c_32001,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31993,c_30022]) ).

tff(c_32007,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32001]) ).

tff(c_32018,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29706,c_32007]) ).

tff(c_32022,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32018]) ).

tff(c_29926,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_446]) ).

tff(c_32027,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32022,c_29926]) ).

tff(c_32033,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32027]) ).

tff(c_32040,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32033,c_461]) ).

tff(c_32046,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32040]) ).

tff(c_32272,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30436,c_32046]) ).

tff(c_32276,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32272]) ).

tff(c_32281,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32276,c_476]) ).

tff(c_32287,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32281]) ).

tff(c_32324,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26697,c_32287]) ).

tff(c_32328,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32324]) ).

tff(c_32345,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32328,c_434]) ).

tff(c_32351,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32345]) ).

tff(c_27195,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_473]) ).

tff(c_30321,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_479]) ).

tff(c_31963,plain,
    select(a_871,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_30257]) ).

tff(c_32050,plain,
    ! [J_340] :
      ( ( select(a_871,J_340) = select(a_869,J_340) )
      | ( i0 = J_340 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_491]) ).

tff(c_32068,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31963,c_32050]) ).

tff(c_32082,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32068]) ).

tff(c_32229,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32082,c_440]) ).

tff(c_32235,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32229]) ).

tff(c_32246,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30321,c_32235]) ).

tff(c_32250,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32246]) ).

tff(c_32259,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_32250]) ).

tff(c_32263,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32259]) ).

tff(c_32298,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27195,c_32263]) ).

tff(c_32302,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32298]) ).

tff(c_32307,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32302,c_470]) ).

tff(c_32313,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_29632,c_32307]) ).

tff(c_30173,plain,
    ! [J_14] :
      ( ( select(a_860,J_14) = select(a_836,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_497]) ).

tff(c_32333,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32313,c_30173]) ).

tff(c_32339,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_31964,c_32333]) ).

tff(c_32368,plain,
    e_883 = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_32351,c_32339]) ).

tff(c_32369,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_108,c_32368]) ).

tff(c_32371,plain,
    i1 != i0,
    inference(splitRight,[status(thm)],[c_740]) ).

tff(c_44367,plain,
    ! [J_481] :
      ( ( select(a_838,J_481) = select(a_836,J_481) )
      | ( i2 = J_481 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_409]) ).

tff(c_32370,plain,
    select(a_838,i0) = e_843,
    inference(splitRight,[status(thm)],[c_740]) ).

tff(c_44373,plain,
    ( ( select(a_836,i0) = e_843 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44367,c_32370]) ).

tff(c_44511,plain,
    i2 = i0,
    inference(splitLeft,[status(thm)],[c_44373]) ).

tff(c_44563,plain,
    select(a_838,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_331]) ).

tff(c_44643,plain,
    e_843 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_44563,c_32370]) ).

tff(c_32380,plain,
    select(a_844,i2) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_346]) ).

tff(c_32643,plain,
    e_847 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_32380,c_72]) ).

tff(c_32384,plain,
    select(a_848,i2) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_343]) ).

tff(c_32656,plain,
    select(a_848,i2) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_32643,c_32384]) ).

tff(c_44544,plain,
    select(a_848,i0) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_32656]) ).

tff(c_44785,plain,
    select(a_848,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_44643,c_44544]) ).

tff(c_44567,plain,
    select(a_851,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_76]) ).

tff(c_44625,plain,
    ( ( select(a_850,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_44567]) ).

tff(c_44629,plain,
    select(a_850,i0) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_44625]) ).

tff(c_44854,plain,
    ( ( select(a_848,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44629,c_488]) ).

tff(c_44860,plain,
    ( ( e_852 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_44785,c_44854]) ).

tff(c_44861,plain,
    e_852 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_44860]) ).

tff(c_32397,plain,
    select(a_851,i2) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_78]) ).

tff(c_32404,plain,
    e_854 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_76,c_32397]) ).

tff(c_32391,plain,
    select(a_855,i2) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_82]) ).

tff(c_32399,plain,
    e_858 = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_32391]) ).

tff(c_32490,plain,
    e_858 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_32404,c_32399]) ).

tff(c_32491,plain,
    select(a_859,i2) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_32490,c_361]) ).

tff(c_32866,plain,
    ! [J_347] :
      ( ( select(a_880,J_347) = select(a_878,J_347) )
      | ( i2 = J_347 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_32875,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32866,c_104]) ).

tff(c_42731,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_32875]) ).

tff(c_42752,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_42731,c_102]) ).

tff(c_42755,plain,
    e_882 = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_32491,c_42752]) ).

tff(c_32392,plain,
    select(a_872,i2) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_96]) ).

tff(c_32400,plain,
    e_875 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_32392]) ).

tff(c_32395,plain,
    select(a_876,i2) = e_879,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_100]) ).

tff(c_32402,plain,
    e_879 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_379,c_32395]) ).

tff(c_32427,plain,
    select(a_880,i2) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_32402,c_325]) ).

tff(c_32532,plain,
    select(a_880,i2) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_32400,c_32427]) ).

tff(c_42751,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_42731,c_104]) ).

tff(c_42754,plain,
    e_883 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_32532,c_42751]) ).

tff(c_42760,plain,
    e_882 != e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_42754,c_108]) ).

tff(c_42769,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_42755,c_42760]) ).

tff(c_44871,plain,
    e_873 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_44861,c_42769]) ).

tff(c_32396,plain,
    select(a_861,i2) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_86]) ).

tff(c_32403,plain,
    e_864 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_32396]) ).

tff(c_32422,plain,
    store(a_863,i0,e_837) = a_865,
    inference(demodulation,[status(thm),theory(equality)],[c_32403,c_40]) ).

tff(c_2,plain,
    ! [A_1,I_2,E_3] : ( select(store(A_1,I_2,E_3),I_2) = E_3 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_32486,plain,
    select(a_865,i0) = e_837,
    inference(superposition,[status(thm),theory(equality)],[c_32422,c_2]) ).

tff(c_44566,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_88]) ).

tff(c_44569,plain,
    e_866 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_32486,c_44566]) ).

tff(c_32394,plain,
    select(a_865,i2) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_90]) ).

tff(c_32401,plain,
    e_868 = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_88,c_32394]) ).

tff(c_32433,plain,
    select(a_869,i2) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_32401,c_337]) ).

tff(c_44555,plain,
    select(a_869,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_32433]) ).

tff(c_44821,plain,
    select(a_869,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_44569,c_44555]) ).

tff(c_44718,plain,
    ! [J_485] :
      ( ( select(a_872,J_485) = select(a_871,J_485) )
      | ( i1 = J_485 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_44568,plain,
    select(a_872,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_44511,c_94]) ).

tff(c_44724,plain,
    ( ( select(a_871,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44718,c_44568]) ).

tff(c_44738,plain,
    select(a_871,i0) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_44724]) ).

tff(c_44930,plain,
    ( ( select(a_869,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44738,c_491]) ).

tff(c_44936,plain,
    ( ( e_873 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_44821,c_44930]) ).

tff(c_44938,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_44871,c_44936]) ).

tff(c_44940,plain,
    i2 != i0,
    inference(splitRight,[status(thm)],[c_44373]) ).

tff(c_32382,plain,
    select(a_863,i2) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_370]) ).

tff(c_45134,plain,
    ! [J_491] :
      ( ( select(a_865,J_491) = select(a_863,J_491) )
      | ( i0 = J_491 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_45146,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_45134,c_88]) ).

tff(c_45162,plain,
    ( ( e_866 = e_862 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32382,c_45146]) ).

tff(c_45163,plain,
    e_866 = e_862,
    inference(negUnitSimplification,[status(thm)],[c_44940,c_45162]) ).

tff(c_32373,plain,
    i2 != i1,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_26628]) ).

tff(c_45030,plain,
    ! [J_490] :
      ( ( select(a_872,J_490) = select(a_871,J_490) )
      | ( i1 = J_490 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_45039,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_45030,c_94]) ).

tff(c_45052,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_45039]) ).

tff(c_45075,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_45052,c_491]) ).

tff(c_45081,plain,
    ( ( e_873 = e_866 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32433,c_45075]) ).

tff(c_45082,plain,
    e_873 = e_866,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_45081]) ).

tff(c_44941,plain,
    ! [J_489] :
      ( ( select(a_851,J_489) = select(a_850,J_489) )
      | ( i1 = J_489 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_409]) ).

tff(c_44950,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44941,c_76]) ).

tff(c_44963,plain,
    select(a_850,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_44950]) ).

tff(c_44971,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44963,c_488]) ).

tff(c_44977,plain,
    ( ( e_852 = e_843 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32656,c_44971]) ).

tff(c_44978,plain,
    e_852 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_44977]) ).

tff(c_44983,plain,
    e_873 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_44978,c_42769]) ).

tff(c_45087,plain,
    e_866 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_45082,c_44983]) ).

tff(c_45216,plain,
    e_862 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_45163,c_45087]) ).

tff(c_44939,plain,
    select(a_836,i0) = e_843,
    inference(splitRight,[status(thm)],[c_44373]) ).

tff(c_45262,plain,
    ! [J_493] :
      ( ( select(a_861,J_493) = select(a_860,J_493) )
      | ( i2 = J_493 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_45271,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_45262,c_84]) ).

tff(c_45283,plain,
    select(a_860,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_44940,c_45271]) ).

tff(c_45304,plain,
    ( ( select(a_836,i0) = e_862 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_45283,c_497]) ).

tff(c_45310,plain,
    select(a_836,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_45304]) ).

tff(c_45439,plain,
    e_862 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_44939,c_45310]) ).

tff(c_45441,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45216,c_45439]) ).

tff(c_45443,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_32875]) ).

tff(c_64780,plain,
    ! [J_696] :
      ( ( select(a_846,J_696) = select(a_844,J_696) )
      | ( i2 = J_696 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_409]) ).

tff(c_32755,plain,
    ! [J_346] :
      ( ( select(a_848,J_346) = select(a_846,J_346) )
      | ( i2 = J_346 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_446]) ).

tff(c_32764,plain,
    ( ( select(a_846,i1) = e_849 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32755,c_74]) ).

tff(c_32777,plain,
    select(a_846,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_32764]) ).

tff(c_64786,plain,
    ( ( select(a_844,i1) = e_849 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64780,c_32777]) ).

tff(c_64800,plain,
    select(a_844,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_64786]) ).

tff(c_32510,plain,
    ! [J_14] :
      ( ( select(a_844,J_14) = select(a_842,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_449]) ).

tff(c_64823,plain,
    ( ( select(a_842,i1) = e_849 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64800,c_32510]) ).

tff(c_64829,plain,
    select(a_842,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_64823]) ).

tff(c_65622,plain,
    ( ( select(a_840,i1) = e_849 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64829,c_476]) ).

tff(c_65628,plain,
    ( ( e_849 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_397,c_65622]) ).

tff(c_65629,plain,
    e_849 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_65628]) ).

tff(c_65636,plain,
    select(a_851,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_65629,c_349]) ).

tff(c_65685,plain,
    ! [J_704] :
      ( ( select(a_853,J_704) = select(a_851,J_704) )
      | ( i2 = J_704 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_467]) ).

tff(c_65278,plain,
    ! [J_701] :
      ( ( select(a_857,J_701) = select(a_855,J_701) )
      | ( i2 = J_701 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_455]) ).

tff(c_53911,plain,
    ! [J_580] :
      ( ( select(a_859,J_580) = select(a_857,J_580) )
      | ( i2 = J_580 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_53920,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_53911,c_102]) ).

tff(c_53933,plain,
    select(a_857,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_53920]) ).

tff(c_65284,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_65278,c_53933]) ).

tff(c_65298,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65284]) ).

tff(c_65364,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_494,c_65298]) ).

tff(c_65368,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65364]) ).

tff(c_65694,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_65685,c_65368]) ).

tff(c_65707,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65694]) ).

tff(c_65719,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_65707]) ).

tff(c_66577,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_65719]) ).

tff(c_66578,plain,
    select(a_851,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_66577,c_65707]) ).

tff(c_66590,plain,
    e_882 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_65636,c_66578]) ).

tff(c_66600,plain,
    e_883 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_66590,c_108]) ).

tff(c_64710,plain,
    ! [J_694] :
      ( ( select(a_867,J_694) = select(a_865,J_694) )
      | ( i2 = J_694 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_479]) ).

tff(c_62399,plain,
    ! [J_663] :
      ( ( select(a_869,J_663) = select(a_867,J_663) )
      | ( i2 = J_663 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_62408,plain,
    ( ( select(a_867,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_62399,c_92]) ).

tff(c_62421,plain,
    select(a_867,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_62408]) ).

tff(c_64719,plain,
    ( ( select(a_865,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64710,c_62421]) ).

tff(c_64732,plain,
    select(a_865,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_64719]) ).

tff(c_64740,plain,
    ( ( select(a_863,i1) = e_870 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64732,c_458]) ).

tff(c_64746,plain,
    select(a_863,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_32371,c_64740]) ).

tff(c_62433,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_473]) ).

tff(c_64810,plain,
    ( ( select(a_861,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64746,c_62433]) ).

tff(c_64816,plain,
    select(a_861,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_64810]) ).

tff(c_64836,plain,
    ( ( select(a_860,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64816,c_470]) ).

tff(c_64842,plain,
    ( ( e_870 = e_839 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_64836]) ).

tff(c_64843,plain,
    e_870 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_32373,c_64842]) ).

tff(c_64880,plain,
    store(a_871,i1,e_839) = a_872,
    inference(demodulation,[status(thm),theory(equality)],[c_64843,c_48]) ).

tff(c_65016,plain,
    select(a_872,i1) = e_839,
    inference(superposition,[status(thm),theory(equality)],[c_64880,c_2]) ).

tff(c_65383,plain,
    ! [J_702] :
      ( ( select(a_878,J_702) = select(a_876,J_702) )
      | ( i2 = J_702 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_431]) ).

tff(c_45442,plain,
    select(a_878,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_32875]) ).

tff(c_65392,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_65383,c_45442]) ).

tff(c_65405,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65392]) ).

tff(c_65417,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_482,c_65405]) ).

tff(c_65421,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65417]) ).

tff(c_64631,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_485]) ).

tff(c_65445,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_65421,c_64631]) ).

tff(c_65451,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_65445]) ).

tff(c_66579,plain,
    select(a_872,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_66577,c_65451]) ).

tff(c_66591,plain,
    e_883 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_65016,c_66579]) ).

tff(c_66605,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_66600,c_66591]) ).

tff(c_66607,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_65719]) ).

tff(c_32372,plain,
    select(a_838,i2) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_26627]) ).

tff(c_32398,plain,
    e_841 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_32372]) ).

tff(c_32474,plain,
    select(a_842,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_32398,c_373]) ).

tff(c_64709,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_479]) ).

tff(c_65661,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_65451,c_443]) ).

tff(c_66709,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_66607,c_65661]) ).

tff(c_66713,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66709,c_491]) ).

tff(c_66719,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_66607,c_66713]) ).

tff(c_66729,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_66719]) ).

tff(c_66733,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66729]) ).

tff(c_66744,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64709,c_66733]) ).

tff(c_66748,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66744]) ).

tff(c_66757,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_66748]) ).

tff(c_66761,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_66757]) ).

tff(c_32754,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i2 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26658,c_446]) ).

tff(c_66606,plain,
    select(a_850,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_65719]) ).

tff(c_66611,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66606,c_488]) ).

tff(c_66617,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_66607,c_66611]) ).

tff(c_66664,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32754,c_66617]) ).

tff(c_66668,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66664]) ).

tff(c_66673,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66668,c_461]) ).

tff(c_66679,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66673]) ).

tff(c_66686,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66679,c_32510]) ).

tff(c_66692,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66686]) ).

tff(c_66766,plain,
    select(a_842,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_66761,c_66692]) ).

tff(c_66785,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_32474,c_66766]) ).

tff(c_66762,plain,
    select(a_865,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_66761,c_66748]) ).

tff(c_66784,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_32486,c_66762]) ).

tff(c_66790,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_66784,c_108]) ).

tff(c_66800,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_66785,c_66790]) ).

tff(c_66802,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_66757]) ).

tff(c_66699,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66692,c_476]) ).

tff(c_66845,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_66802,c_66699]) ).

tff(c_66849,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66845,c_500]) ).

tff(c_66855,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_66607,c_66849]) ).

tff(c_66866,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_66855]) ).

tff(c_66870,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66866]) ).

tff(c_66753,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66748,c_458]) ).

tff(c_66803,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_66753]) ).

tff(c_66804,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_66802,c_66803]) ).

tff(c_66805,plain,
    select(a_863,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_66753]) ).

tff(c_66814,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_62433,c_66805]) ).

tff(c_66818,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66814]) ).

tff(c_66827,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_66818]) ).

tff(c_66831,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_45443,c_66827]) ).

tff(c_66836,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66831,c_497]) ).

tff(c_66842,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_66607,c_66836]) ).

tff(c_66887,plain,
    e_883 = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_66870,c_66842]) ).

tff(c_66888,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_108,c_66887]) ).

tff(c_66890,plain,
    i5 != i2,
    inference(splitRight,[status(thm)],[c_26650]) ).

tff(c_83658,plain,
    ! [J_874] :
      ( ( select(a_860,J_874) = select(a_836,J_874) )
      | ( i0 = J_874 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_497]) ).

tff(c_67088,plain,
    ! [J_708] :
      ( ( select(a_861,J_708) = select(a_860,J_708) )
      | ( i2 = J_708 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_67097,plain,
    ( ( select(a_860,i5) = e_864 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67088,c_86]) ).

tff(c_67115,plain,
    select(a_860,i5) = e_864,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_67097]) ).

tff(c_83664,plain,
    ( ( select(a_836,i5) = e_864 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83658,c_67115]) ).

tff(c_83678,plain,
    select(a_836,i5) = e_864,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_83664]) ).

tff(c_86184,plain,
    ! [J_898] :
      ( ( select(a_838,J_898) = select(a_836,J_898) )
      | ( i2 = J_898 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_409]) ).

tff(c_86190,plain,
    ( ( select(a_836,i5) = e_841 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86184,c_26627]) ).

tff(c_86204,plain,
    ( ( e_864 = e_841 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_83678,c_86190]) ).

tff(c_86205,plain,
    e_864 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_86204]) ).

tff(c_86215,plain,
    select(a_865,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_86205,c_355]) ).

tff(c_67257,plain,
    ! [J_710] :
      ( ( select(a_844,J_710) = select(a_842,J_710) )
      | ( i5 = J_710 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_66937,plain,
    select(a_860,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_394]) ).

tff(c_67100,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67088,c_84]) ).

tff(c_67116,plain,
    ( ( e_862 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66937,c_67100]) ).

tff(c_67126,plain,
    i2 = i0,
    inference(splitLeft,[status(thm)],[c_67116]) ).

tff(c_67157,plain,
    select(a_844,i0) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_72]) ).

tff(c_67263,plain,
    ( ( select(a_842,i0) = e_847 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67257,c_67157]) ).

tff(c_67271,plain,
    ( ( e_847 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_373,c_67263]) ).

tff(c_67272,plain,
    e_847 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_67271]) ).

tff(c_67277,plain,
    select(a_848,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_67272,c_343]) ).

tff(c_71559,plain,
    ! [J_756] :
      ( ( select(a_851,J_756) = select(a_850,J_756) )
      | ( i0 = J_756 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_452]) ).

tff(c_71565,plain,
    ( ( select(a_850,i5) = e_854 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71559,c_78]) ).

tff(c_71573,plain,
    select(a_850,i5) = e_854,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_71565]) ).

tff(c_71247,plain,
    ! [J_14] :
      ( ( select(a_850,J_14) = select(a_848,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_488]) ).

tff(c_71579,plain,
    ( ( select(a_848,i5) = e_854 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71573,c_71247]) ).

tff(c_71585,plain,
    ( ( e_854 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67277,c_71579]) ).

tff(c_71586,plain,
    e_854 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_71585]) ).

tff(c_71594,plain,
    select(a_857,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_71586,c_598]) ).

tff(c_71495,plain,
    ! [J_755] :
      ( ( select(a_857,J_755) = select(a_855,J_755) )
      | ( i5 = J_755 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_409]) ).

tff(c_66945,plain,
    select(a_836,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_62]) ).

tff(c_67155,plain,
    select(a_836,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_64]) ).

tff(c_67160,plain,
    e_839 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_66945,c_67155]) ).

tff(c_66938,plain,
    select(a_840,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_397]) ).

tff(c_66995,plain,
    e_843 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_66938,c_68]) ).

tff(c_67001,plain,
    select(a_846,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_66995,c_608]) ).

tff(c_67139,plain,
    select(a_846,i0) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_67001]) ).

tff(c_67489,plain,
    select(a_846,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67160,c_67139]) ).

tff(c_67516,plain,
    ! [J_713] :
      ( ( select(a_848,J_713) = select(a_846,J_713) )
      | ( i5 = J_713 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_409]) ).

tff(c_66947,plain,
    select(a_848,i0) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_74]) ).

tff(c_67522,plain,
    ( ( select(a_846,i0) = e_849 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67516,c_66947]) ).

tff(c_67530,plain,
    ( ( e_849 = e_837 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67489,c_67522]) ).

tff(c_67531,plain,
    e_849 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_67530]) ).

tff(c_66934,plain,
    select(a_851,i0) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_349]) ).

tff(c_67158,plain,
    select(a_851,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_76]) ).

tff(c_67162,plain,
    e_852 = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_66934,c_67158]) ).

tff(c_67183,plain,
    select(a_853,i5) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_67162,c_364]) ).

tff(c_67433,plain,
    ! [J_712] :
      ( ( select(a_855,J_712) = select(a_853,J_712) )
      | ( i0 = J_712 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_494]) ).

tff(c_67442,plain,
    ( ( select(a_853,i5) = e_858 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67433,c_82]) ).

tff(c_67454,plain,
    ( ( e_858 = e_849 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67183,c_67442]) ).

tff(c_67455,plain,
    e_858 = e_849,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_67454]) ).

tff(c_67146,plain,
    select(a_859,i0) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_361]) ).

tff(c_67468,plain,
    select(a_859,i0) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_67455,c_67146]) ).

tff(c_67623,plain,
    select(a_859,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67531,c_67468]) ).

tff(c_67596,plain,
    ! [J_714] :
      ( ( select(a_880,J_714) = select(a_878,J_714) )
      | ( i0 = J_714 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_428]) ).

tff(c_67605,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67596,c_104]) ).

tff(c_69514,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_67605]) ).

tff(c_69516,plain,
    select(a_859,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_69514,c_102]) ).

tff(c_69519,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67623,c_69516]) ).

tff(c_67148,plain,
    select(a_861,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_367]) ).

tff(c_67240,plain,
    e_862 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67148,c_84]) ).

tff(c_67009,plain,
    ! [J_707] :
      ( ( select(a_865,J_707) = select(a_863,J_707) )
      | ( i0 = J_707 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_67021,plain,
    ( ( select(a_863,i5) = e_868 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67009,c_90]) ).

tff(c_67036,plain,
    ( ( e_868 = e_862 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_67021]) ).

tff(c_67037,plain,
    e_868 = e_862,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_67036]) ).

tff(c_67046,plain,
    select(a_869,i2) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_67037,c_337]) ).

tff(c_67140,plain,
    select(a_869,i0) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_67046]) ).

tff(c_67406,plain,
    select(a_869,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67240,c_67140]) ).

tff(c_66946,plain,
    select(a_869,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_92]) ).

tff(c_67407,plain,
    e_870 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67406,c_66946]) ).

tff(c_66933,plain,
    select(a_872,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_340]) ).

tff(c_67159,plain,
    select(a_872,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_94]) ).

tff(c_67163,plain,
    e_873 = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_66933,c_67159]) ).

tff(c_66889,plain,
    e_879 = e_873,
    inference(splitRight,[status(thm)],[c_26650]) ).

tff(c_66891,plain,
    select(a_880,i2) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_66889,c_325]) ).

tff(c_67142,plain,
    select(a_880,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_66891]) ).

tff(c_67235,plain,
    select(a_880,i0) = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_67163,c_67142]) ).

tff(c_67422,plain,
    select(a_880,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67407,c_67235]) ).

tff(c_69515,plain,
    select(a_880,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_69514,c_104]) ).

tff(c_69518,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_67422,c_69515]) ).

tff(c_69524,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_69518,c_108]) ).

tff(c_69534,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_69519,c_69524]) ).

tff(c_69536,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_67605]) ).

tff(c_464,plain,
    ! [J_14] :
      ( ( select(a_859,J_14) = select(a_857,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_71330,plain,
    ! [J_753] :
      ( ( select(a_859,J_753) = select(a_857,J_753) )
      | ( i0 = J_753 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_464]) ).

tff(c_71339,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71330,c_102]) ).

tff(c_71351,plain,
    select(a_857,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_71339]) ).

tff(c_71501,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71495,c_71351]) ).

tff(c_72228,plain,
    i_881 = i5,
    inference(splitLeft,[status(thm)],[c_71501]) ).

tff(c_72229,plain,
    select(a_857,i5) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_72228,c_71351]) ).

tff(c_72235,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_71594,c_72229]) ).

tff(c_72241,plain,
    e_883 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_72235,c_108]) ).

tff(c_67150,plain,
    store(a_836,i0,e_837) = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_10]) ).

tff(c_66943,plain,
    store(a_836,i0,e_839) = a_860,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_34]) ).

tff(c_67553,plain,
    store(a_836,i0,e_837) = a_860,
    inference(demodulation,[status(thm),theory(equality)],[c_67160,c_66943]) ).

tff(c_67863,plain,
    a_860 = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_67150,c_67553]) ).

tff(c_67877,plain,
    select(a_838,i5) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_67863,c_67115]) ).

tff(c_67880,plain,
    e_864 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_26627,c_67877]) ).

tff(c_67156,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_88]) ).

tff(c_67161,plain,
    e_866 = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_355,c_67156]) ).

tff(c_67168,plain,
    select(a_867,i5) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_67161,c_376]) ).

tff(c_67895,plain,
    select(a_867,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_67880,c_67168]) ).

tff(c_72010,plain,
    ! [J_759] :
      ( ( select(a_871,J_759) = select(a_869,J_759) )
      | ( i0 = J_759 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_491]) ).

tff(c_69538,plain,
    ! [J_732] :
      ( ( select(a_872,J_732) = select(a_871,J_732) )
      | ( i0 = J_732 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_443]) ).

tff(c_69547,plain,
    ( ( select(a_871,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_69538,c_96]) ).

tff(c_69560,plain,
    select(a_871,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_69547]) ).

tff(c_72019,plain,
    ( ( select(a_869,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72010,c_69560]) ).

tff(c_72032,plain,
    select(a_869,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_72019]) ).

tff(c_67197,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_440]) ).

tff(c_72040,plain,
    ( ( select(a_867,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72032,c_67197]) ).

tff(c_72046,plain,
    ( ( e_875 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67895,c_72040]) ).

tff(c_72047,plain,
    e_875 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_72046]) ).

tff(c_72056,plain,
    select(a_878,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_72047,c_621]) ).

tff(c_67614,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104,c_67596]) ).

tff(c_69569,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_67614]) ).

tff(c_72230,plain,
    select(a_878,i5) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_72228,c_69569]) ).

tff(c_72236,plain,
    e_883 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_72056,c_72230]) ).

tff(c_72246,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72241,c_72236]) ).

tff(c_72248,plain,
    i_881 != i5,
    inference(splitRight,[status(thm)],[c_71501]) ).

tff(c_71269,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_461]) ).

tff(c_72247,plain,
    select(a_855,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_71501]) ).

tff(c_67432,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_494]) ).

tff(c_72253,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72247,c_67432]) ).

tff(c_72259,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72253]) ).

tff(c_72269,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_467,c_72259]) ).

tff(c_72273,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_72269]) ).

tff(c_71558,plain,
    ! [J_14] :
      ( ( select(a_851,J_14) = select(a_850,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_452]) ).

tff(c_72278,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72273,c_71558]) ).

tff(c_72284,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72278]) ).

tff(c_72291,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72284,c_71247]) ).

tff(c_72297,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72291]) ).

tff(c_72304,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72297,c_446]) ).

tff(c_72310,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_72304]) ).

tff(c_72321,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71269,c_72310]) ).

tff(c_72325,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72321]) ).

tff(c_72330,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72325,c_449]) ).

tff(c_72336,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_72330]) ).

tff(c_72343,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72336,c_476]) ).

tff(c_72349,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72343]) ).

tff(c_71439,plain,
    ! [J_754] :
      ( ( select(a_878,J_754) = select(a_876,J_754) )
      | ( i5 = J_754 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_409]) ).

tff(c_71445,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_71439,c_69569]) ).

tff(c_72391,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_71445]) ).

tff(c_67153,plain,
    store(a_874,i0,e_875) = a_876,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_52]) ).

tff(c_67782,plain,
    ! [J_5] :
      ( ( select(a_876,J_5) = select(a_874,J_5) )
      | ( i0 = J_5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67153,c_4]) ).

tff(c_72395,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72391,c_67782]) ).

tff(c_72401,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72395]) ).

tff(c_72407,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72401,c_485]) ).

tff(c_72413,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_72407]) ).

tff(c_69537,plain,
    ! [J_14] :
      ( ( select(a_872,J_14) = select(a_871,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_443]) ).

tff(c_72421,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72413,c_69537]) ).

tff(c_72427,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72421]) ).

tff(c_66932,plain,
    ! [J_14] :
      ( ( select(a_871,J_14) = select(a_869,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_491]) ).

tff(c_72434,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72427,c_66932]) ).

tff(c_72440,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72434]) ).

tff(c_72447,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72440,c_67197]) ).

tff(c_72453,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72447]) ).

tff(c_72464,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_479,c_72453]) ).

tff(c_72468,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_72464]) ).

tff(c_72475,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72468,c_458]) ).

tff(c_72481,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_69536,c_72475]) ).

tff(c_66944,plain,
    store(a_838,i0,e_839) = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_12]) ).

tff(c_67851,plain,
    store(a_838,i0,e_837) = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_67160,c_66944]) ).

tff(c_67152,plain,
    store(a_860,i0,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_67126,c_36]) ).

tff(c_67875,plain,
    store(a_838,i0,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_67863,c_67152]) ).

tff(c_67878,plain,
    a_861 = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_67851,c_67875]) ).

tff(c_67908,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_840,J_14) )
      | ( i5 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67878,c_473]) ).

tff(c_72488,plain,
    ( ( select(a_840,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72481,c_67908]) ).

tff(c_72494,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i5 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_72349,c_72488]) ).

tff(c_72496,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72248,c_108,c_72494]) ).

tff(c_72498,plain,
    i2 != i0,
    inference(splitRight,[status(thm)],[c_67116]) ).

tff(c_89064,plain,
    ! [J_922] :
      ( ( select(a_869,J_922) = select(a_867,J_922) )
      | ( i2 = J_922 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_89073,plain,
    ( ( select(a_867,i0) = e_870 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89064,c_66946]) ).

tff(c_89085,plain,
    select(a_867,i0) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_89073]) ).

tff(c_89092,plain,
    ( ( select(a_865,i0) = e_870 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89085,c_479]) ).

tff(c_89098,plain,
    ( ( e_870 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_86215,c_89092]) ).

tff(c_89099,plain,
    e_870 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_89098]) ).

tff(c_89108,plain,
    select(a_872,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_89099,c_66933]) ).

tff(c_85934,plain,
    ! [J_895] :
      ( ( select(a_840,J_895) = select(a_838,J_895) )
      | ( i0 = J_895 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_500]) ).

tff(c_85681,plain,
    ! [J_894] :
      ( ( select(a_844,J_894) = select(a_842,J_894) )
      | ( i5 = J_894 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_85693,plain,
    ( ( select(a_842,i2) = e_847 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_85681,c_72]) ).

tff(c_85710,plain,
    select(a_842,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_85693]) ).

tff(c_85735,plain,
    ( ( select(a_840,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_85710]) ).

tff(c_85739,plain,
    select(a_840,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_85735]) ).

tff(c_85943,plain,
    ( ( select(a_838,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_85934,c_85739]) ).

tff(c_85961,plain,
    ( ( e_847 = e_837 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_85943]) ).

tff(c_85962,plain,
    e_847 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_85961]) ).

tff(c_83586,plain,
    ! [J_873] :
      ( ( select(a_850,J_873) = select(a_848,J_873) )
      | ( i0 = J_873 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_488]) ).

tff(c_72749,plain,
    ! [J_762] :
      ( ( select(a_851,J_762) = select(a_850,J_762) )
      | ( i0 = J_762 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_452]) ).

tff(c_72761,plain,
    ( ( select(a_850,i5) = e_854 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72749,c_78]) ).

tff(c_72778,plain,
    select(a_850,i5) = e_854,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_72761]) ).

tff(c_83592,plain,
    ( ( select(a_848,i5) = e_854 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83586,c_72778]) ).

tff(c_83612,plain,
    ( ( e_854 = e_847 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_343,c_83592]) ).

tff(c_83613,plain,
    e_854 = e_847,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_83612]) ).

tff(c_83625,plain,
    select(a_857,i5) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_83613,c_598]) ).

tff(c_83095,plain,
    ! [J_869] :
      ( ( select(a_848,J_869) = select(a_846,J_869) )
      | ( i5 = J_869 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_409]) ).

tff(c_81467,plain,
    ! [J_845] :
      ( ( select(a_850,J_845) = select(a_848,J_845) )
      | ( i0 = J_845 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_488]) ).

tff(c_72758,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72749,c_76]) ).

tff(c_72777,plain,
    select(a_850,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_72758]) ).

tff(c_81476,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_81467,c_72777]) ).

tff(c_81495,plain,
    select(a_848,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_81476]) ).

tff(c_83101,plain,
    ( ( select(a_846,i2) = e_852 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83095,c_81495]) ).

tff(c_83121,plain,
    ( ( e_852 = e_839 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67001,c_83101]) ).

tff(c_83122,plain,
    e_852 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_83121]) ).

tff(c_81547,plain,
    ! [J_846] :
      ( ( select(a_855,J_846) = select(a_853,J_846) )
      | ( i2 = J_846 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_81553,plain,
    ( ( select(a_853,i5) = e_858 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_81547,c_82]) ).

tff(c_81561,plain,
    ( ( e_858 = e_852 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_81553]) ).

tff(c_81562,plain,
    e_858 = e_852,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_81561]) ).

tff(c_81424,plain,
    ! [J_844] :
      ( ( select(a_859,J_844) = select(a_857,J_844) )
      | ( i2 = J_844 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_81433,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_81424,c_102]) ).

tff(c_81451,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_81433]) ).

tff(c_81453,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_81451,c_102]) ).

tff(c_81456,plain,
    e_882 = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_361,c_81453]) ).

tff(c_81452,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_81451,c_104]) ).

tff(c_81455,plain,
    e_883 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_66891,c_81452]) ).

tff(c_81461,plain,
    e_882 != e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_81455,c_108]) ).

tff(c_81504,plain,
    e_873 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_81456,c_81461]) ).

tff(c_81566,plain,
    e_873 != e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_81562,c_81504]) ).

tff(c_83135,plain,
    e_873 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_83122,c_81566]) ).

tff(c_72497,plain,
    e_862 = e_839,
    inference(splitRight,[status(thm)],[c_67116]) ).

tff(c_72499,plain,
    select(a_869,i2) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_72497,c_67046]) ).

tff(c_83546,plain,
    ! [J_872] :
      ( ( select(a_871,J_872) = select(a_869,J_872) )
      | ( i0 = J_872 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_491]) ).

tff(c_83051,plain,
    ! [J_868] :
      ( ( select(a_872,J_868) = select(a_871,J_868) )
      | ( i0 = J_868 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_443]) ).

tff(c_83063,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83051,c_94]) ).

tff(c_83080,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_83063]) ).

tff(c_83555,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83546,c_83080]) ).

tff(c_83574,plain,
    ( ( e_873 = e_839 )
    | ( i2 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_72499,c_83555]) ).

tff(c_83576,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_83135,c_83574]) ).

tff(c_83578,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_81433]) ).

tff(c_83741,plain,
    ! [J_875] :
      ( ( select(a_880,J_875) = select(a_878,J_875) )
      | ( i2 = J_875 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_83750,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83741,c_104]) ).

tff(c_83762,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_83750]) ).

tff(c_83769,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83762,c_431]) ).

tff(c_83777,plain,
    i_881 = i5,
    inference(splitLeft,[status(thm)],[c_83769]) ).

tff(c_83577,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_81433]) ).

tff(c_83798,plain,
    select(a_857,i5) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_83777,c_83577]) ).

tff(c_83804,plain,
    e_882 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_83625,c_83798]) ).

tff(c_83797,plain,
    select(a_878,i5) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_83777,c_83762]) ).

tff(c_83803,plain,
    e_883 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_621,c_83797]) ).

tff(c_83809,plain,
    e_882 != e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_83803,c_108]) ).

tff(c_83814,plain,
    e_875 != e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_83804,c_83809]) ).

tff(c_85974,plain,
    e_875 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_85962,c_83814]) ).

tff(c_67018,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67009,c_88]) ).

tff(c_72710,plain,
    select(a_863,i2) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_67018]) ).

tff(c_72714,plain,
    ( ( select(a_861,i2) = e_866 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72710,c_473]) ).

tff(c_72720,plain,
    ( ( e_866 = e_837 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_72714]) ).

tff(c_72721,plain,
    e_866 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_72720]) ).

tff(c_72726,plain,
    select(a_867,i5) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_72721,c_376]) ).

tff(c_85363,plain,
    ! [J_890] :
      ( ( select(a_872,J_890) = select(a_871,J_890) )
      | ( i0 = J_890 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_443]) ).

tff(c_85372,plain,
    ( ( select(a_871,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_85363,c_96]) ).

tff(c_85391,plain,
    select(a_871,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_85372]) ).

tff(c_86040,plain,
    ! [J_896] :
      ( ( select(a_871,J_896) = select(a_869,J_896) )
      | ( i0 = J_896 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_491]) ).

tff(c_86064,plain,
    ( ( select(a_869,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_85391,c_86040]) ).

tff(c_86076,plain,
    select(a_869,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_86064]) ).

tff(c_86135,plain,
    ( ( select(a_867,i5) = e_875 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86076,c_440]) ).

tff(c_86141,plain,
    ( ( e_875 = e_837 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_72726,c_86135]) ).

tff(c_86143,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_85974,c_86141]) ).

tff(c_86145,plain,
    i_881 != i5,
    inference(splitRight,[status(thm)],[c_83769]) ).

tff(c_89277,plain,
    ! [J_924] :
      ( ( select(a_857,J_924) = select(a_855,J_924) )
      | ( i5 = J_924 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_409]) ).

tff(c_89286,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89277,c_83577]) ).

tff(c_89299,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_89286]) ).

tff(c_89307,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89299,c_494]) ).

tff(c_89313,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_89307]) ).

tff(c_89324,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_467,c_89313]) ).

tff(c_89328,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_89324]) ).

tff(c_72748,plain,
    ! [J_14] :
      ( ( select(a_851,J_14) = select(a_850,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_452]) ).

tff(c_89398,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89328,c_72748]) ).

tff(c_90455,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_89398]) ).

tff(c_86257,plain,
    ! [J_899] :
      ( ( select(a_874,J_899) = select(a_872,J_899) )
      | ( i5 = J_899 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_50,c_409]) ).

tff(c_86144,plain,
    select(a_876,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_83769]) ).

tff(c_86153,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_482,c_86144]) ).

tff(c_86157,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_86153]) ).

tff(c_86263,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86257,c_86157]) ).

tff(c_86277,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_86263]) ).

tff(c_90459,plain,
    select(a_872,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_90455,c_86277]) ).

tff(c_90470,plain,
    e_883 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_89108,c_90459]) ).

tff(c_89329,plain,
    ! [J_925] :
      ( ( select(a_844,J_925) = select(a_842,J_925) )
      | ( i5 = J_925 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_88930,plain,
    ! [J_920] :
      ( ( select(a_848,J_920) = select(a_846,J_920) )
      | ( i5 = J_920 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_409]) ).

tff(c_88951,plain,
    ( ( select(a_846,i0) = e_849 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66947,c_88930]) ).

tff(c_88963,plain,
    select(a_846,i0) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_88951]) ).

tff(c_89032,plain,
    ( ( select(a_844,i0) = e_849 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_461,c_88963]) ).

tff(c_89036,plain,
    select(a_844,i0) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_72498,c_89032]) ).

tff(c_89335,plain,
    ( ( select(a_842,i0) = e_849 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_89329,c_89036]) ).

tff(c_89355,plain,
    ( ( e_849 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_373,c_89335]) ).

tff(c_89356,plain,
    e_849 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66930,c_89355]) ).

tff(c_89368,plain,
    select(a_851,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_89356,c_66934]) ).

tff(c_90456,plain,
    select(a_851,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_90455,c_89328]) ).

tff(c_90469,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_89368,c_90456]) ).

tff(c_90487,plain,
    e_883 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_90469,c_108]) ).

tff(c_90498,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_90470,c_90487]) ).

tff(c_90500,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_89398]) ).

tff(c_83585,plain,
    ! [J_14] :
      ( ( select(a_850,J_14) = select(a_848,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_488]) ).

tff(c_90499,plain,
    select(a_850,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_89398]) ).

tff(c_90508,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_83585,c_90499]) ).

tff(c_90512,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_90508]) ).

tff(c_90516,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90512,c_446]) ).

tff(c_90522,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_90516]) ).

tff(c_90529,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90522,c_461]) ).

tff(c_90535,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_90529]) ).

tff(c_90546,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_449,c_90535]) ).

tff(c_90550,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_90546]) ).

tff(c_90559,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_90550]) ).

tff(c_90563,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_90559]) ).

tff(c_66931,plain,
    ! [J_14] :
      ( ( select(a_840,J_14) = select(a_838,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_500]) ).

tff(c_90568,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90563,c_66931]) ).

tff(c_90574,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_90568]) ).

tff(c_90581,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90574,c_434]) ).

tff(c_90587,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_90581]) ).

tff(c_88980,plain,
    ! [J_921] :
      ( ( select(a_872,J_921) = select(a_871,J_921) )
      | ( i0 = J_921 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_443]) ).

tff(c_89001,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86277,c_88980]) ).

tff(c_90604,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_89001]) ).

tff(c_90608,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90604,c_66932]) ).

tff(c_90614,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_90608]) ).

tff(c_90659,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90614,c_440]) ).

tff(c_90665,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_90659]) ).

tff(c_90676,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_479,c_90665]) ).

tff(c_90680,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_90676]) ).

tff(c_90685,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90680,c_458]) ).

tff(c_90691,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_90685]) ).

tff(c_90698,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90691,c_473]) ).

tff(c_90704,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_86145,c_90698]) ).

tff(c_90711,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90704,c_470]) ).

tff(c_90717,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_83578,c_90711]) ).

tff(c_83657,plain,
    ! [J_14] :
      ( ( select(a_860,J_14) = select(a_836,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66929,c_497]) ).

tff(c_90724,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90717,c_83657]) ).

tff(c_90730,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90587,c_90724]) ).

tff(c_90732,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_90500,c_108,c_90730]) ).

tff(c_90734,plain,
    i1 != i0,
    inference(splitRight,[status(thm)],[c_728]) ).

tff(c_106856,plain,
    ! [J_1061] :
      ( ( select(a_865,J_1061) = select(a_863,J_1061) )
      | ( i0 = J_1061 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_106868,plain,
    ( ( select(a_863,i5) = e_868 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106856,c_90]) ).

tff(c_106884,plain,
    ( ( e_868 = e_862 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_106868]) ).

tff(c_106889,plain,
    i5 = i0,
    inference(splitLeft,[status(thm)],[c_106884]) ).

tff(c_106919,plain,
    select(a_840,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_106889,c_66]) ).

tff(c_106942,plain,
    e_843 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_106919,c_68]) ).

tff(c_106921,plain,
    select(a_861,i0) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_106889,c_86]) ).

tff(c_106923,plain,
    e_864 = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_106921]) ).

tff(c_106920,plain,
    select(a_865,i0) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_106889,c_90]) ).

tff(c_106922,plain,
    e_868 = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_355,c_106920]) ).

tff(c_90792,plain,
    ! [J_931] :
      ( ( select(a_851,J_931) = select(a_850,J_931) )
      | ( i1 = J_931 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_409]) ).

tff(c_90801,plain,
    ( ( select(a_850,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90792,c_76]) ).

tff(c_90829,plain,
    i2 = i1,
    inference(splitLeft,[status(thm)],[c_90801]) ).

tff(c_90848,plain,
    select(a_836,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_64]) ).

tff(c_90853,plain,
    e_839 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_62,c_90848]) ).

tff(c_90863,plain,
    store(a_838,i1,e_837) = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_90853,c_12]) ).

tff(c_90842,plain,
    store(a_836,i1,e_837) = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_10]) ).

tff(c_90862,plain,
    store(a_836,i1,e_837) = a_860,
    inference(demodulation,[status(thm),theory(equality)],[c_90853,c_34]) ).

tff(c_95426,plain,
    a_860 = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_90842,c_90862]) ).

tff(c_90845,plain,
    store(a_860,i1,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_36]) ).

tff(c_95512,plain,
    store(a_838,i1,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_95426,c_90845]) ).

tff(c_95547,plain,
    a_861 = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_90863,c_95512]) ).

tff(c_95561,plain,
    select(a_840,i5) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_95547,c_86]) ).

tff(c_95564,plain,
    e_864 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_95561]) ).

tff(c_95623,plain,
    select(a_865,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_95564,c_355]) ).

tff(c_90861,plain,
    select(a_840,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_90853,c_397]) ).

tff(c_95915,plain,
    ! [J_969] :
      ( ( select(a_863,J_969) = select(a_840,J_969) )
      | ( i5 = J_969 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_95547,c_473]) ).

tff(c_91138,plain,
    ! [J_935] :
      ( ( select(a_865,J_935) = select(a_863,J_935) )
      | ( i0 = J_935 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_90849,plain,
    select(a_865,i1) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_88]) ).

tff(c_91144,plain,
    ( ( select(a_863,i1) = e_866 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91138,c_90849]) ).

tff(c_91164,plain,
    select(a_863,i1) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91144]) ).

tff(c_95924,plain,
    ( ( select(a_840,i1) = e_866 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95915,c_91164]) ).

tff(c_95937,plain,
    ( ( e_866 = e_837 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90861,c_95924]) ).

tff(c_95938,plain,
    e_866 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_95937]) ).

tff(c_95681,plain,
    ! [J_967] :
      ( ( select(a_869,J_967) = select(a_867,J_967) )
      | ( i1 = J_967 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_440]) ).

tff(c_90950,plain,
    ! [J_933] :
      ( ( select(a_872,J_933) = select(a_871,J_933) )
      | ( i1 = J_933 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_90956,plain,
    ( ( select(a_871,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90950,c_96]) ).

tff(c_90964,plain,
    select(a_871,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_90956]) ).

tff(c_90970,plain,
    ( ( select(a_869,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90964,c_491]) ).

tff(c_90976,plain,
    select(a_869,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_90970]) ).

tff(c_95687,plain,
    ( ( select(a_867,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95681,c_90976]) ).

tff(c_95695,plain,
    ( ( e_875 = e_866 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_95687]) ).

tff(c_95696,plain,
    e_875 = e_866,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_95695]) ).

tff(c_95705,plain,
    select(a_878,i5) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_95696,c_621]) ).

tff(c_95944,plain,
    select(a_878,i5) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_95938,c_95705]) ).

tff(c_103285,plain,
    ! [J_1024] :
      ( ( select(a_878,J_1024) = select(a_876,J_1024) )
      | ( i5 = J_1024 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_409]) ).

tff(c_90835,plain,
    select(a_846,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_608]) ).

tff(c_90743,plain,
    ! [J_929] :
      ( ( select(a_848,J_929) = select(a_846,J_929) )
      | ( i5 = J_929 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_409]) ).

tff(c_90752,plain,
    ( ( select(a_846,i1) = e_849 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90743,c_74]) ).

tff(c_90764,plain,
    select(a_846,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_90752]) ).

tff(c_90980,plain,
    e_849 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_90835,c_90764]) ).

tff(c_90851,plain,
    select(a_851,i1) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_76]) ).

tff(c_90854,plain,
    e_852 = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_349,c_90851]) ).

tff(c_90868,plain,
    select(a_853,i5) = e_849,
    inference(demodulation,[status(thm),theory(equality)],[c_90854,c_364]) ).

tff(c_95407,plain,
    select(a_853,i5) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_90980,c_90868]) ).

tff(c_96092,plain,
    ! [J_971] :
      ( ( select(a_855,J_971) = select(a_853,J_971) )
      | ( i1 = J_971 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_494]) ).

tff(c_96101,plain,
    ( ( select(a_853,i5) = e_858 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_96092,c_82]) ).

tff(c_96113,plain,
    ( ( e_858 = e_843 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_95407,c_96101]) ).

tff(c_96114,plain,
    e_858 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_96113]) ).

tff(c_90837,plain,
    select(a_859,i1) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_361]) ).

tff(c_96119,plain,
    select(a_859,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_96114,c_90837]) ).

tff(c_95472,plain,
    ! [J_965] :
      ( ( select(a_880,J_965) = select(a_878,J_965) )
      | ( i1 = J_965 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_428]) ).

tff(c_95481,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95472,c_104]) ).

tff(c_101458,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_95481]) ).

tff(c_101460,plain,
    select(a_859,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_101458,c_102]) ).

tff(c_101463,plain,
    e_882 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_96119,c_101460]) ).

tff(c_95562,plain,
    select(a_840,i0) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_95547,c_84]) ).

tff(c_95565,plain,
    e_862 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_95562]) ).

tff(c_91150,plain,
    ( ( select(a_863,i5) = e_868 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91138,c_90]) ).

tff(c_91166,plain,
    ( ( e_868 = e_862 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_91150]) ).

tff(c_91171,plain,
    i5 = i0,
    inference(splitLeft,[status(thm)],[c_91166]) ).

tff(c_91254,plain,
    ! [J_936] :
      ( ( select(a_844,J_936) = select(a_842,J_936) )
      | ( i0 = J_936 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_449]) ).

tff(c_90850,plain,
    select(a_844,i1) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_72]) ).

tff(c_91260,plain,
    ( ( select(a_842,i1) = e_847 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91254,c_90850]) ).

tff(c_91268,plain,
    select(a_842,i1) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91260]) ).

tff(c_91719,plain,
    ( ( select(a_840,i1) = e_847 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91268,c_476]) ).

tff(c_91725,plain,
    ( ( e_847 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90861,c_91719]) ).

tff(c_91726,plain,
    e_847 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91725]) ).

tff(c_91187,plain,
    select(a_848,i0) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_343]) ).

tff(c_91732,plain,
    select(a_848,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_91726,c_91187]) ).

tff(c_91738,plain,
    ! [J_942] :
      ( ( select(a_850,J_942) = select(a_848,J_942) )
      | ( i1 = J_942 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_90804,plain,
    ( ( select(a_850,i5) = e_854 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90792,c_78]) ).

tff(c_90820,plain,
    select(a_850,i5) = e_854,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_90804]) ).

tff(c_91175,plain,
    select(a_850,i0) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_90820]) ).

tff(c_91747,plain,
    ( ( select(a_848,i0) = e_854 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91738,c_91175]) ).

tff(c_91760,plain,
    select(a_848,i0) = e_854,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91747]) ).

tff(c_91858,plain,
    e_854 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_91732,c_91760]) ).

tff(c_91183,plain,
    select(a_857,i0) = e_854,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_598]) ).

tff(c_91864,plain,
    select(a_857,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_91858,c_91183]) ).

tff(c_91177,plain,
    select(a_838,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_26627]) ).

tff(c_91872,plain,
    a_860 = a_838,
    inference(demodulation,[status(thm),theory(equality)],[c_90842,c_90862]) ).

tff(c_91486,plain,
    ! [J_939] :
      ( ( select(a_861,J_939) = select(a_860,J_939) )
      | ( i1 = J_939 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_470]) ).

tff(c_91504,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_84,c_91486]) ).

tff(c_91512,plain,
    select(a_860,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91504]) ).

tff(c_91884,plain,
    select(a_838,i0) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_91872,c_91512]) ).

tff(c_91889,plain,
    e_862 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91177,c_91884]) ).

tff(c_91196,plain,
    select(a_861,i0) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_86]) ).

tff(c_91199,plain,
    e_864 = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_91196]) ).

tff(c_91195,plain,
    select(a_865,i0) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_90]) ).

tff(c_91198,plain,
    e_868 = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_355,c_91195]) ).

tff(c_90840,plain,
    select(a_869,i1) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_337]) ).

tff(c_90927,plain,
    e_870 = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_90840,c_92]) ).

tff(c_90852,plain,
    select(a_872,i1) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_94]) ).

tff(c_90855,plain,
    e_873 = e_870,
    inference(demodulation,[status(thm),theory(equality)],[c_340,c_90852]) ).

tff(c_90933,plain,
    e_873 = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_90927,c_90855]) ).

tff(c_90831,plain,
    select(a_880,i1) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_66891]) ).

tff(c_91116,plain,
    select(a_880,i1) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_90933,c_90831]) ).

tff(c_91204,plain,
    select(a_880,i1) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_91198,c_91116]) ).

tff(c_91566,plain,
    select(a_880,i1) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_91199,c_91204]) ).

tff(c_91898,plain,
    select(a_880,i1) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91889,c_91566]) ).

tff(c_90887,plain,
    ! [J_932] :
      ( ( select(a_859,J_932) = select(a_857,J_932) )
      | ( i1 = J_932 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_464]) ).

tff(c_90893,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90887,c_102]) ).

tff(c_93725,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_90893]) ).

tff(c_93726,plain,
    select(a_880,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_93725,c_104]) ).

tff(c_93729,plain,
    e_883 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91898,c_93726]) ).

tff(c_93735,plain,
    e_882 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_93729,c_108]) ).

tff(c_91194,plain,
    select(a_840,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_66]) ).

tff(c_91290,plain,
    e_843 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91194,c_68]) ).

tff(c_91310,plain,
    e_849 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91290,c_90980]) ).

tff(c_91464,plain,
    select(a_853,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_91310,c_91171,c_90868]) ).

tff(c_92112,plain,
    ! [J_946] :
      ( ( select(a_855,J_946) = select(a_853,J_946) )
      | ( i1 = J_946 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_494]) ).

tff(c_91192,plain,
    select(a_855,i0) = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_82]) ).

tff(c_92118,plain,
    ( ( select(a_853,i0) = e_858 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_92112,c_91192]) ).

tff(c_92126,plain,
    ( ( e_858 = e_841 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91464,c_92118]) ).

tff(c_92127,plain,
    e_858 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_92126]) ).

tff(c_92132,plain,
    select(a_859,i1) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_92127,c_90837]) ).

tff(c_93727,plain,
    select(a_859,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_93725,c_102]) ).

tff(c_93730,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_92132,c_93727]) ).

tff(c_93740,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_93735,c_93730]) ).

tff(c_93741,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_90893]) ).

tff(c_92009,plain,
    ! [J_14] :
      ( ( select(a_857,J_14) = select(a_855,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_455]) ).

tff(c_93746,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_93741,c_92009]) ).

tff(c_94651,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_93746]) ).

tff(c_94653,plain,
    select(a_857,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_94651,c_93741]) ).

tff(c_94659,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_91864,c_94653]) ).

tff(c_90839,plain,
    select(a_861,i1) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_367]) ).

tff(c_91156,plain,
    ( ( select(a_863,i1) = e_866 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90849,c_91138]) ).

tff(c_91168,plain,
    select(a_863,i1) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91156]) ).

tff(c_91406,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_861,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_473]) ).

tff(c_91647,plain,
    ( ( select(a_861,i1) = e_866 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91168,c_91406]) ).

tff(c_91653,plain,
    ( ( e_866 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90839,c_91647]) ).

tff(c_91654,plain,
    e_866 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_91653]) ).

tff(c_91184,plain,
    select(a_867,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_376]) ).

tff(c_91679,plain,
    select(a_867,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_91654,c_91184]) ).

tff(c_92194,plain,
    ! [J_947] :
      ( ( select(a_869,J_947) = select(a_867,J_947) )
      | ( i1 = J_947 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_440]) ).

tff(c_91611,plain,
    select(a_869,i0) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_90976]) ).

tff(c_92203,plain,
    ( ( select(a_867,i0) = e_875 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_92194,c_91611]) ).

tff(c_92215,plain,
    ( ( e_875 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91679,c_92203]) ).

tff(c_92216,plain,
    e_875 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_92215]) ).

tff(c_91182,plain,
    select(a_878,i0) = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_621]) ).

tff(c_92224,plain,
    select(a_878,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_92216,c_91182]) ).

tff(c_93742,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_90893]) ).

tff(c_91332,plain,
    ! [J_937] :
      ( ( select(a_880,J_937) = select(a_878,J_937) )
      | ( i1 = J_937 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_428]) ).

tff(c_91344,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104,c_91332]) ).

tff(c_93755,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_91344]) ).

tff(c_94652,plain,
    select(a_878,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_94651,c_93755]) ).

tff(c_94658,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_92224,c_94652]) ).

tff(c_94664,plain,
    e_882 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_94658,c_108]) ).

tff(c_94674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_94659,c_94664]) ).

tff(c_94676,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_93746]) ).

tff(c_91658,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_461]) ).

tff(c_94955,plain,
    ! [J_961] :
      ( ( select(a_853,J_961) = select(a_851,J_961) )
      | ( i0 = J_961 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_467]) ).

tff(c_94675,plain,
    select(a_855,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_93746]) ).

tff(c_92111,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_494]) ).

tff(c_94681,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94675,c_92111]) ).

tff(c_94687,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_94681]) ).

tff(c_94964,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94955,c_94687]) ).

tff(c_94977,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_94676,c_94964]) ).

tff(c_95148,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_94977]) ).

tff(c_95152,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95148]) ).

tff(c_95166,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_95152]) ).

tff(c_95170,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95166]) ).

tff(c_91176,plain,
    ! [J_14] :
      ( ( select(a_848,J_14) = select(a_846,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_446]) ).

tff(c_95188,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95170,c_91176]) ).

tff(c_95194,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_94676,c_95188]) ).

tff(c_95223,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91658,c_95194]) ).

tff(c_95227,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95223]) ).

tff(c_91189,plain,
    store(a_842,i0,e_843) = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_16]) ).

tff(c_92237,plain,
    store(a_842,i0,e_841) = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_91290,c_91189]) ).

tff(c_91886,plain,
    store(a_838,i1,e_837) = a_861,
    inference(demodulation,[status(thm),theory(equality)],[c_91872,c_90845]) ).

tff(c_92502,plain,
    a_861 = a_840,
    inference(demodulation,[status(thm),theory(equality)],[c_90863,c_91886]) ).

tff(c_91190,plain,
    store(a_861,i0,e_862) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_38]) ).

tff(c_92430,plain,
    store(a_861,i0,e_841) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_91889,c_91190]) ).

tff(c_92503,plain,
    store(a_840,i0,e_841) = a_863,
    inference(demodulation,[status(thm),theory(equality)],[c_92502,c_92430]) ).

tff(c_92507,plain,
    a_863 = a_842,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_92503]) ).

tff(c_91229,plain,
    store(a_863,i0,e_862) = a_865,
    inference(demodulation,[status(thm),theory(equality)],[c_91199,c_40]) ).

tff(c_92535,plain,
    a_865 = a_844,
    inference(demodulation,[status(thm),theory(equality)],[c_92237,c_92507,c_91889,c_91229]) ).

tff(c_92398,plain,
    ! [J_14] :
      ( ( select(a_867,J_14) = select(a_865,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_479]) ).

tff(c_95299,plain,
    ! [J_963] :
      ( ( select(a_867,J_963) = select(a_844,J_963) )
      | ( i0 = J_963 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_92535,c_92398]) ).

tff(c_91837,plain,
    ! [J_14] :
      ( ( select(a_874,J_14) = select(a_872,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_485]) ).

tff(c_94790,plain,
    ! [J_960] :
      ( ( select(a_876,J_960) = select(a_874,J_960) )
      | ( i1 = J_960 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_482]) ).

tff(c_91927,plain,
    ! [J_14] :
      ( ( select(a_878,J_14) = select(a_876,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91171,c_431]) ).

tff(c_93763,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91927,c_93755]) ).

tff(c_94698,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_94676,c_93763]) ).

tff(c_94796,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94790,c_94698]) ).

tff(c_94810,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_94796]) ).

tff(c_94857,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_91837,c_94810]) ).

tff(c_94861,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_94676,c_94857]) ).

tff(c_95131,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94861,c_443]) ).

tff(c_95137,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95131]) ).

tff(c_95178,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_491,c_95137]) ).

tff(c_95182,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95178]) ).

tff(c_92193,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_440]) ).

tff(c_95201,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95182,c_92193]) ).

tff(c_95207,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_93742,c_95201]) ).

tff(c_95305,plain,
    ( ( select(a_844,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_95299,c_95207]) ).

tff(c_95319,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_95227,c_95305]) ).

tff(c_95321,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_94676,c_108,c_95319]) ).

tff(c_95322,plain,
    e_868 = e_862,
    inference(splitRight,[status(thm)],[c_91166]) ).

tff(c_95325,plain,
    select(a_880,i1) = e_862,
    inference(demodulation,[status(thm),theory(equality)],[c_95322,c_91116]) ).

tff(c_95607,plain,
    select(a_880,i1) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_95565,c_95325]) ).

tff(c_101459,plain,
    select(a_880,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_101458,c_104]) ).

tff(c_101462,plain,
    e_883 = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_95607,c_101459]) ).

tff(c_101468,plain,
    e_882 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_101462,c_108]) ).

tff(c_101497,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_101463,c_101468]) ).

tff(c_101499,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_95481]) ).

tff(c_95490,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104,c_95472]) ).

tff(c_101500,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_95490]) ).

tff(c_103291,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103285,c_101500]) ).

tff(c_103834,plain,
    i_881 = i5,
    inference(splitLeft,[status(thm)],[c_103291]) ).

tff(c_103836,plain,
    select(a_878,i5) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_103834,c_101500]) ).

tff(c_103842,plain,
    e_883 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_95944,c_103836]) ).

tff(c_103202,plain,
    ! [J_1023] :
      ( ( select(a_844,J_1023) = select(a_842,J_1023) )
      | ( i5 = J_1023 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_103214,plain,
    ( ( select(a_842,i1) = e_847 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90850,c_103202]) ).

tff(c_103218,plain,
    select(a_842,i1) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_103214]) ).

tff(c_103258,plain,
    ( ( select(a_840,i1) = e_847 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103218,c_476]) ).

tff(c_103264,plain,
    ( ( e_847 = e_837 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90861,c_103258]) ).

tff(c_103265,plain,
    e_847 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_103264]) ).

tff(c_96210,plain,
    ! [J_972] :
      ( ( select(a_850,J_972) = select(a_848,J_972) )
      | ( i1 = J_972 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_96219,plain,
    ( ( select(a_848,i5) = e_854 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_96210,c_90820]) ).

tff(c_96232,plain,
    ( ( e_854 = e_847 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_343,c_96219]) ).

tff(c_96233,plain,
    e_854 = e_847,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_96232]) ).

tff(c_96243,plain,
    select(a_857,i5) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_96233,c_598]) ).

tff(c_103274,plain,
    select(a_857,i5) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_103265,c_96243]) ).

tff(c_90899,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_102,c_90887]) ).

tff(c_101508,plain,
    select(a_857,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_90899]) ).

tff(c_103835,plain,
    select(a_857,i5) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_103834,c_101508]) ).

tff(c_103841,plain,
    e_882 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_103274,c_103835]) ).

tff(c_103847,plain,
    e_883 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_103841,c_108]) ).

tff(c_103857,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_103842,c_103847]) ).

tff(c_103859,plain,
    i_881 != i5,
    inference(splitRight,[status(thm)],[c_103291]) ).

tff(c_103858,plain,
    select(a_876,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_103291]) ).

tff(c_90833,plain,
    ! [J_14] :
      ( ( select(a_876,J_14) = select(a_874,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_482]) ).

tff(c_103863,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103858,c_90833]) ).

tff(c_103869,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103863]) ).

tff(c_103875,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103869,c_485]) ).

tff(c_103881,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_103875]) ).

tff(c_103888,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103881,c_443]) ).

tff(c_103894,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103888]) ).

tff(c_103905,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_491,c_103894]) ).

tff(c_103909,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103905]) ).

tff(c_95680,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_440]) ).

tff(c_103914,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103909,c_95680]) ).

tff(c_103920,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103914]) ).

tff(c_103927,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103920,c_479]) ).

tff(c_103933,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_103927]) ).

tff(c_103944,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_103933]) ).

tff(c_104872,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_103944]) ).

tff(c_104881,plain,
    select(a_865,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_104872,c_103933]) ).

tff(c_104896,plain,
    e_883 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_95623,c_104881]) ).

tff(c_101516,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_455,c_101508]) ).

tff(c_103948,plain,
    select(a_855,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_101516]) ).

tff(c_96091,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_494]) ).

tff(c_103952,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103948,c_96091]) ).

tff(c_103958,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103952]) ).

tff(c_103966,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103958,c_467]) ).

tff(c_103972,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_103966]) ).

tff(c_103983,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_103972]) ).

tff(c_103987,plain,
    select(a_850,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103983]) ).

tff(c_103992,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103987,c_488]) ).

tff(c_103998,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_103992]) ).

tff(c_104005,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_103998,c_446]) ).

tff(c_104011,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_104005]) ).

tff(c_103097,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i1 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90829,c_461]) ).

tff(c_104020,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104011,c_103097]) ).

tff(c_104026,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_101499,c_104020]) ).

tff(c_104037,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_449,c_104026]) ).

tff(c_104041,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_104037]) ).

tff(c_104873,plain,
    select(a_842,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_104872,c_104041]) ).

tff(c_104895,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_373,c_104873]) ).

tff(c_104913,plain,
    e_883 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_104895,c_108]) ).

tff(c_104924,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_104896,c_104913]) ).

tff(c_104926,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_103944]) ).

tff(c_104925,plain,
    select(a_863,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_103944]) ).

tff(c_95914,plain,
    ! [J_14] :
      ( ( select(a_863,J_14) = select(a_840,J_14) )
      | ( i5 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_95547,c_473]) ).

tff(c_104930,plain,
    ( ( select(a_840,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104925,c_95914]) ).

tff(c_104936,plain,
    select(a_840,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_103859,c_104930]) ).

tff(c_104087,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_104041]) ).

tff(c_104991,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_104936,c_104087]) ).

tff(c_104992,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104926,c_108,c_104991]) ).

tff(c_104994,plain,
    i2 != i1,
    inference(splitRight,[status(thm)],[c_90801]) ).

tff(c_106220,plain,
    ! [J_1054] :
      ( ( select(a_850,J_1054) = select(a_848,J_1054) )
      | ( i1 = J_1054 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_104993,plain,
    select(a_850,i2) = e_852,
    inference(splitRight,[status(thm)],[c_90801]) ).

tff(c_106226,plain,
    ( ( select(a_848,i2) = e_852 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106220,c_104993]) ).

tff(c_106246,plain,
    select(a_848,i2) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_106226]) ).

tff(c_106448,plain,
    ( ( select(a_846,i2) = e_852 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106246,c_446]) ).

tff(c_106454,plain,
    ( ( e_852 = e_843 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_608,c_106448]) ).

tff(c_106455,plain,
    e_852 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_106454]) ).

tff(c_106461,plain,
    select(a_853,i5) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_106455,c_364]) ).

tff(c_106676,plain,
    ! [J_1059] :
      ( ( select(a_855,J_1059) = select(a_853,J_1059) )
      | ( i2 = J_1059 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_106685,plain,
    ( ( select(a_853,i5) = e_858 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106676,c_82]) ).

tff(c_106697,plain,
    ( ( e_858 = e_843 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_106461,c_106685]) ).

tff(c_106698,plain,
    e_858 = e_843,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_106697]) ).

tff(c_106273,plain,
    ! [J_1055] :
      ( ( select(a_872,J_1055) = select(a_871,J_1055) )
      | ( i1 = J_1055 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_106285,plain,
    ( ( select(a_871,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106273,c_94]) ).

tff(c_106302,plain,
    select(a_871,i2) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_106285]) ).

tff(c_106323,plain,
    ( ( select(a_869,i2) = e_873 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106302,c_491]) ).

tff(c_106329,plain,
    ( ( e_873 = e_868 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_337,c_106323]) ).

tff(c_106330,plain,
    e_873 = e_868,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_106329]) ).

tff(c_105002,plain,
    ! [J_1036] :
      ( ( select(a_859,J_1036) = select(a_857,J_1036) )
      | ( i2 = J_1036 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_409]) ).

tff(c_105011,plain,
    ( ( select(a_857,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105002,c_102]) ).

tff(c_105025,plain,
    i_881 = i2,
    inference(splitLeft,[status(thm)],[c_105011]) ).

tff(c_105027,plain,
    select(a_859,i2) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_105025,c_102]) ).

tff(c_105030,plain,
    e_882 = e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_361,c_105027]) ).

tff(c_105026,plain,
    select(a_880,i2) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_105025,c_104]) ).

tff(c_105029,plain,
    e_883 = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_66891,c_105026]) ).

tff(c_105035,plain,
    e_882 != e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_105029,c_108]) ).

tff(c_105063,plain,
    e_873 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_105030,c_105035]) ).

tff(c_106335,plain,
    e_868 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_106330,c_105063]) ).

tff(c_106703,plain,
    e_868 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_106698,c_106335]) ).

tff(c_106928,plain,
    e_864 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_106922,c_106703]) ).

tff(c_107044,plain,
    e_862 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_106942,c_106923,c_106928]) ).

tff(c_105088,plain,
    ! [J_1039] :
      ( ( select(a_838,J_1039) = select(a_836,J_1039) )
      | ( i2 = J_1039 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_409]) ).

tff(c_105097,plain,
    ( ( select(a_836,i5) = e_841 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105088,c_26627]) ).

tff(c_105114,plain,
    select(a_836,i5) = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_105097]) ).

tff(c_106903,plain,
    select(a_836,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_106889,c_105114]) ).

tff(c_90733,plain,
    select(a_838,i0) = e_843,
    inference(splitRight,[status(thm)],[c_728]) ).

tff(c_105094,plain,
    ( ( select(a_836,i0) = e_843 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105088,c_90733]) ).

tff(c_105126,plain,
    i2 = i0,
    inference(splitLeft,[status(thm)],[c_105094]) ).

tff(c_105135,plain,
    i5 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_66890]) ).

tff(c_105142,plain,
    select(a_861,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_367]) ).

tff(c_105277,plain,
    e_862 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105142,c_84]) ).

tff(c_105282,plain,
    select(a_863,i5) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105277,c_370]) ).

tff(c_105541,plain,
    ! [J_1045] :
      ( ( select(a_865,J_1045) = select(a_863,J_1045) )
      | ( i0 = J_1045 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_105550,plain,
    ( ( select(a_863,i5) = e_868 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105541,c_90]) ).

tff(c_105562,plain,
    ( ( e_868 = e_837 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_105282,c_105550]) ).

tff(c_105563,plain,
    e_868 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_105135,c_105562]) ).

tff(c_105143,plain,
    select(a_869,i0) = e_868,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_337]) ).

tff(c_105155,plain,
    select(a_872,i0) = e_873,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_94]) ).

tff(c_105354,plain,
    ( ( select(a_871,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_443,c_105155]) ).

tff(c_105358,plain,
    select(a_871,i0) = e_873,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_105354]) ).

tff(c_105432,plain,
    ( ( select(a_869,i0) = e_873 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_491,c_105358]) ).

tff(c_105437,plain,
    ( ( e_873 = e_868 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_105143,c_105432]) ).

tff(c_105438,plain,
    e_873 = e_868,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_105437]) ).

tff(c_105453,plain,
    e_868 != e_858,
    inference(demodulation,[status(thm),theory(equality)],[c_105438,c_105063]) ).

tff(c_105572,plain,
    e_858 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105563,c_105453]) ).

tff(c_105144,plain,
    select(a_838,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_331]) ).

tff(c_105288,plain,
    e_843 = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105144,c_90733]) ).

tff(c_105138,plain,
    select(a_846,i0) = e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_608]) ).

tff(c_105293,plain,
    select(a_846,i0) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_105288,c_105138]) ).

tff(c_105131,plain,
    select(a_850,i0) = e_852,
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_104993]) ).

tff(c_105950,plain,
    ! [J_1049] :
      ( ( select(a_850,J_1049) = select(a_848,J_1049) )
      | ( i1 = J_1049 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_105965,plain,
    ( ( select(a_848,i0) = e_852 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105131,c_105950]) ).

tff(c_105974,plain,
    select(a_848,i0) = e_852,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_105965]) ).

tff(c_106008,plain,
    ( ( select(a_846,i0) = e_852 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_105974,c_446]) ).

tff(c_106014,plain,
    ( ( e_852 = e_837 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_105293,c_106008]) ).

tff(c_106015,plain,
    e_852 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_105135,c_106014]) ).

tff(c_106022,plain,
    select(a_853,i5) = e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_106015,c_364]) ).

tff(c_106150,plain,
    ! [J_1051] :
      ( ( select(a_855,J_1051) = select(a_853,J_1051) )
      | ( i0 = J_1051 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_105126,c_494]) ).

tff(c_106159,plain,
    ( ( select(a_853,i5) = e_858 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106150,c_82]) ).

tff(c_106171,plain,
    ( ( e_858 = e_837 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_106022,c_106159]) ).

tff(c_106173,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_105135,c_105572,c_106171]) ).

tff(c_106175,plain,
    i2 != i0,
    inference(splitRight,[status(thm)],[c_105094]) ).

tff(c_107203,plain,
    ! [J_1065] :
      ( ( select(a_861,J_1065) = select(a_860,J_1065) )
      | ( i2 = J_1065 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_107212,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107203,c_84]) ).

tff(c_107224,plain,
    select(a_860,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_106175,c_107212]) ).

tff(c_107231,plain,
    ( ( select(a_836,i0) = e_862 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107224,c_497]) ).

tff(c_107237,plain,
    select(a_836,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_107231]) ).

tff(c_107329,plain,
    e_862 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_106903,c_107237]) ).

tff(c_107330,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_107044,c_107329]) ).

tff(c_107331,plain,
    e_868 = e_862,
    inference(splitRight,[status(thm)],[c_106884]) ).

tff(c_107345,plain,
    e_862 != e_843,
    inference(demodulation,[status(thm),theory(equality)],[c_107331,c_106703]) ).

tff(c_106174,plain,
    select(a_836,i0) = e_843,
    inference(splitRight,[status(thm)],[c_105094]) ).

tff(c_107675,plain,
    ! [J_1069] :
      ( ( select(a_861,J_1069) = select(a_860,J_1069) )
      | ( i2 = J_1069 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_107687,plain,
    ( ( select(a_860,i0) = e_862 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107675,c_84]) ).

tff(c_107703,plain,
    select(a_860,i0) = e_862,
    inference(negUnitSimplification,[status(thm)],[c_106175,c_107687]) ).

tff(c_107769,plain,
    ( ( select(a_836,i0) = e_862 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107703,c_497]) ).

tff(c_107775,plain,
    ( ( e_862 = e_843 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_106174,c_107769]) ).

tff(c_107777,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_107345,c_107775]) ).

tff(c_107779,plain,
    i_881 != i2,
    inference(splitRight,[status(thm)],[c_105011]) ).

tff(c_123340,plain,
    ! [J_1173] :
      ( ( select(a_844,J_1173) = select(a_842,J_1173) )
      | ( i5 = J_1173 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_121892,plain,
    ! [J_1156] :
      ( ( select(a_846,J_1156) = select(a_844,J_1156) )
      | ( i2 = J_1156 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_409]) ).

tff(c_121898,plain,
    ( ( select(a_844,i1) = e_849 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_121892,c_90764]) ).

tff(c_121912,plain,
    select(a_844,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_121898]) ).

tff(c_123346,plain,
    ( ( select(a_842,i1) = e_849 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123340,c_121912]) ).

tff(c_123366,plain,
    select(a_842,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_123346]) ).

tff(c_123861,plain,
    ( ( select(a_840,i1) = e_849 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123366,c_476]) ).

tff(c_123867,plain,
    ( ( e_849 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_397,c_123861]) ).

tff(c_123868,plain,
    e_849 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_123867]) ).

tff(c_123875,plain,
    select(a_851,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_123868,c_349]) ).

tff(c_122695,plain,
    ! [J_1165] :
      ( ( select(a_863,J_1165) = select(a_861,J_1165) )
      | ( i5 = J_1165 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_409]) ).

tff(c_108923,plain,
    ! [J_1084] :
      ( ( select(a_844,J_1084) = select(a_842,J_1084) )
      | ( i5 = J_1084 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_107830,plain,
    ! [J_1072] :
      ( ( select(a_838,J_1072) = select(a_836,J_1072) )
      | ( i2 = J_1072 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_409]) ).

tff(c_107836,plain,
    ( ( select(a_836,i0) = e_843 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107830,c_90733]) ).

tff(c_107873,plain,
    i2 = i0,
    inference(splitLeft,[status(thm)],[c_107836]) ).

tff(c_108135,plain,
    ! [J_1076] :
      ( ( select(a_846,J_1076) = select(a_844,J_1076) )
      | ( i0 = J_1076 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_461]) ).

tff(c_108153,plain,
    ( ( select(a_844,i1) = e_849 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90764,c_108135]) ).

tff(c_108161,plain,
    select(a_844,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_108153]) ).

tff(c_108929,plain,
    ( ( select(a_842,i1) = e_849 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108923,c_108161]) ).

tff(c_108949,plain,
    select(a_842,i1) = e_849,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_108929]) ).

tff(c_109110,plain,
    ( ( select(a_840,i1) = e_849 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108949,c_476]) ).

tff(c_109116,plain,
    ( ( e_849 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_397,c_109110]) ).

tff(c_109117,plain,
    e_849 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_109116]) ).

tff(c_109125,plain,
    select(a_851,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_109117,c_349]) ).

tff(c_107947,plain,
    i5 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_66890]) ).

tff(c_107963,plain,
    select(a_844,i0) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_72]) ).

tff(c_108935,plain,
    ( ( select(a_842,i0) = e_847 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108923,c_107963]) ).

tff(c_108951,plain,
    ( ( e_847 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_373,c_108935]) ).

tff(c_108952,plain,
    e_847 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_107947,c_108951]) ).

tff(c_107874,plain,
    ! [J_1073] :
      ( ( select(a_850,J_1073) = select(a_848,J_1073) )
      | ( i1 = J_1073 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_107883,plain,
    ( ( select(a_848,i5) = e_854 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107874,c_90820]) ).

tff(c_107901,plain,
    ( ( e_854 = e_847 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_343,c_107883]) ).

tff(c_107902,plain,
    e_854 = e_847,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_107901]) ).

tff(c_107913,plain,
    select(a_857,i5) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_107902,c_598]) ).

tff(c_108963,plain,
    select(a_857,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_108952,c_107913]) ).

tff(c_107778,plain,
    select(a_857,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_105011]) ).

tff(c_108803,plain,
    ! [J_1083] :
      ( ( select(a_857,J_1083) = select(a_855,J_1083) )
      | ( i5 = J_1083 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_409]) ).

tff(c_108821,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107778,c_108803]) ).

tff(c_109932,plain,
    i_881 = i5,
    inference(splitLeft,[status(thm)],[c_108821]) ).

tff(c_109935,plain,
    select(a_857,i5) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_109932,c_107778]) ).

tff(c_109940,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_108963,c_109935]) ).

tff(c_107941,plain,
    i_881 != i0,
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_107779]) ).

tff(c_108513,plain,
    ! [J_1080] :
      ( ( select(a_880,J_1080) = select(a_878,J_1080) )
      | ( i0 = J_1080 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_428]) ).

tff(c_108522,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108513,c_104]) ).

tff(c_108534,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_108522]) ).

tff(c_109933,plain,
    select(a_878,i5) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_109932,c_108534]) ).

tff(c_109939,plain,
    e_883 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_621,c_109933]) ).

tff(c_109945,plain,
    e_882 != e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_109939,c_108]) ).

tff(c_109954,plain,
    e_875 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_109940,c_109945]) ).

tff(c_107839,plain,
    ( ( select(a_836,i5) = e_841 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107830,c_26627]) ).

tff(c_107856,plain,
    select(a_836,i5) = e_841,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_107839]) ).

tff(c_108413,plain,
    ! [J_1079] :
      ( ( select(a_861,J_1079) = select(a_860,J_1079) )
      | ( i0 = J_1079 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_470]) ).

tff(c_108431,plain,
    ( ( select(a_860,i5) = e_864 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86,c_108413]) ).

tff(c_108437,plain,
    select(a_860,i5) = e_864,
    inference(negUnitSimplification,[status(thm)],[c_107947,c_108431]) ).

tff(c_108471,plain,
    ( ( select(a_836,i5) = e_864 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108437,c_497]) ).

tff(c_108477,plain,
    ( ( e_864 = e_841 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107856,c_108471]) ).

tff(c_108478,plain,
    e_864 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_108477]) ).

tff(c_107962,plain,
    select(a_865,i0) = e_866,
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_88]) ).

tff(c_107966,plain,
    e_866 = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_355,c_107962]) ).

tff(c_107971,plain,
    select(a_867,i5) = e_864,
    inference(demodulation,[status(thm),theory(equality)],[c_107966,c_376]) ).

tff(c_108483,plain,
    select(a_867,i5) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_108478,c_107971]) ).

tff(c_110488,plain,
    ! [J_1093] :
      ( ( select(a_869,J_1093) = select(a_867,J_1093) )
      | ( i0 = J_1093 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_440]) ).

tff(c_108708,plain,
    ! [J_1082] :
      ( ( select(a_872,J_1082) = select(a_871,J_1082) )
      | ( i1 = J_1082 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_108720,plain,
    ( ( select(a_871,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108708,c_96]) ).

tff(c_108737,plain,
    select(a_871,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_108720]) ).

tff(c_108750,plain,
    ( ( select(a_869,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_491,c_108737]) ).

tff(c_108754,plain,
    select(a_869,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_108750]) ).

tff(c_110500,plain,
    ( ( select(a_867,i5) = e_875 )
    | ( i5 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_110488,c_108754]) ).

tff(c_110517,plain,
    ( ( e_875 = e_841 )
    | ( i5 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108483,c_110500]) ).

tff(c_110519,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_107947,c_109954,c_110517]) ).

tff(c_110521,plain,
    i_881 != i5,
    inference(splitRight,[status(thm)],[c_108821]) ).

tff(c_110520,plain,
    select(a_855,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_108821]) ).

tff(c_108232,plain,
    ! [J_14] :
      ( ( select(a_855,J_14) = select(a_853,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_494]) ).

tff(c_110525,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_110520,c_108232]) ).

tff(c_110531,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_110525]) ).

tff(c_110541,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_467,c_110531]) ).

tff(c_110545,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_110541]) ).

tff(c_110555,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_110545]) ).

tff(c_112762,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_110555]) ).

tff(c_112766,plain,
    select(a_851,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_112762,c_110545]) ).

tff(c_112777,plain,
    e_882 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_109125,c_112766]) ).

tff(c_112782,plain,
    e_883 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_112777,c_108]) ).

tff(c_109165,plain,
    ! [J_1086] :
      ( ( select(a_863,J_1086) = select(a_861,J_1086) )
      | ( i5 = J_1086 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_409]) ).

tff(c_108071,plain,
    ! [J_1075] :
      ( ( select(a_867,J_1075) = select(a_865,J_1075) )
      | ( i5 = J_1075 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_409]) ).

tff(c_107805,plain,
    ! [J_1071] :
      ( ( select(a_869,J_1071) = select(a_867,J_1071) )
      | ( i2 = J_1071 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_409]) ).

tff(c_107814,plain,
    ( ( select(a_867,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107805,c_92]) ).

tff(c_107826,plain,
    select(a_867,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_107814]) ).

tff(c_108077,plain,
    ( ( select(a_865,i1) = e_870 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108071,c_107826]) ).

tff(c_108085,plain,
    select(a_865,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_108077]) ).

tff(c_108305,plain,
    ! [J_1078] :
      ( ( select(a_865,J_1078) = select(a_863,J_1078) )
      | ( i0 = J_1078 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_108323,plain,
    ( ( select(a_863,i1) = e_870 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108085,c_108305]) ).

tff(c_108336,plain,
    select(a_863,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_108323]) ).

tff(c_109171,plain,
    ( ( select(a_861,i1) = e_870 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_109165,c_108336]) ).

tff(c_109185,plain,
    select(a_861,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_109171]) ).

tff(c_108412,plain,
    ! [J_14] :
      ( ( select(a_861,J_14) = select(a_860,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_470]) ).

tff(c_109195,plain,
    ( ( select(a_860,i1) = e_870 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_109185,c_108412]) ).

tff(c_109201,plain,
    ( ( e_870 = e_839 )
    | ( i1 = i0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_109195]) ).

tff(c_109202,plain,
    e_870 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_109201]) ).

tff(c_109210,plain,
    select(a_872,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_109202,c_340]) ).

tff(c_112052,plain,
    ! [J_1112] :
      ( ( select(a_876,J_1112) = select(a_874,J_1112) )
      | ( i0 = J_1112 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_482]) ).

tff(c_108561,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108534,c_431]) ).

tff(c_110762,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_108561]) ).

tff(c_112058,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112052,c_110762]) ).

tff(c_112078,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112058]) ).

tff(c_112094,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112078,c_485]) ).

tff(c_112100,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_112094]) ).

tff(c_112763,plain,
    select(a_872,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_112762,c_112100]) ).

tff(c_112776,plain,
    e_883 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_109210,c_112763]) ).

tff(c_112787,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_112782,c_112776]) ).

tff(c_112789,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_110555]) ).

tff(c_112788,plain,
    select(a_850,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_110555]) ).

tff(c_112793,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112788,c_488]) ).

tff(c_112799,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_112789,c_112793]) ).

tff(c_112805,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112799,c_446]) ).

tff(c_112811,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_112805]) ).

tff(c_108134,plain,
    ! [J_14] :
      ( ( select(a_846,J_14) = select(a_844,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_461]) ).

tff(c_112818,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112811,c_108134]) ).

tff(c_112824,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112818]) ).

tff(c_112831,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112824,c_449]) ).

tff(c_112837,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_112831]) ).

tff(c_112848,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_112837]) ).

tff(c_112852,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112848]) ).

tff(c_112857,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112852,c_500]) ).

tff(c_112863,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_112789,c_112857]) ).

tff(c_107939,plain,
    ! [J_14] :
      ( ( select(a_838,J_14) = select(a_836,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_434]) ).

tff(c_112870,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112863,c_107939]) ).

tff(c_112876,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112870]) ).

tff(c_112111,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_443,c_112100]) ).

tff(c_112906,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_112789,c_112111]) ).

tff(c_112914,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_491,c_112906]) ).

tff(c_112918,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_112789,c_112914]) ).

tff(c_107940,plain,
    ! [J_14] :
      ( ( select(a_869,J_14) = select(a_867,J_14) )
      | ( i0 = J_14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107873,c_440]) ).

tff(c_112922,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112918,c_107940]) ).

tff(c_112928,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112922]) ).

tff(c_112935,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112928,c_479]) ).

tff(c_112941,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_112935]) ).

tff(c_112948,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112941,c_458]) ).

tff(c_112954,plain,
    select(a_863,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112948]) ).

tff(c_112965,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_473,c_112954]) ).

tff(c_112969,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_110521,c_112965]) ).

tff(c_112978,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108412,c_112969]) ).

tff(c_112982,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107941,c_112978]) ).

tff(c_112987,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112982,c_497]) ).

tff(c_112993,plain,
    ( ( e_883 = e_882 )
    | ( i_881 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_112876,c_112987]) ).

tff(c_112995,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_112789,c_108,c_112993]) ).

tff(c_112997,plain,
    i2 != i0,
    inference(splitRight,[status(thm)],[c_107836]) ).

tff(c_113200,plain,
    ! [J_1116] :
      ( ( select(a_865,J_1116) = select(a_863,J_1116) )
      | ( i0 = J_1116 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_409]) ).

tff(c_113209,plain,
    ( ( select(a_863,i2) = e_866 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_113200,c_88]) ).

tff(c_113227,plain,
    select(a_863,i2) = e_866,
    inference(negUnitSimplification,[status(thm)],[c_112997,c_113209]) ).

tff(c_122704,plain,
    ( ( select(a_861,i2) = e_866 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122695,c_113227]) ).

tff(c_122717,plain,
    ( ( e_866 = e_837 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_122704]) ).

tff(c_122718,plain,
    e_866 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_122717]) ).

tff(c_122581,plain,
    ! [J_1164] :
      ( ( select(a_844,J_1164) = select(a_842,J_1164) )
      | ( i5 = J_1164 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_409]) ).

tff(c_122593,plain,
    ( ( select(a_842,i2) = e_847 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122581,c_72]) ).

tff(c_122609,plain,
    select(a_842,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_122593]) ).

tff(c_122621,plain,
    ( ( select(a_840,i2) = e_847 )
    | ( i2 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_122609]) ).

tff(c_122625,plain,
    select(a_840,i2) = e_847,
    inference(negUnitSimplification,[status(thm)],[c_112997,c_122621]) ).

tff(c_122655,plain,
    ( ( select(a_838,i2) = e_847 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122625,c_500]) ).

tff(c_122661,plain,
    ( ( e_847 = e_837 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_331,c_122655]) ).

tff(c_122662,plain,
    e_847 = e_837,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_122661]) ).

tff(c_122078,plain,
    ! [J_1159] :
      ( ( select(a_872,J_1159) = select(a_871,J_1159) )
      | ( i1 = J_1159 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_409]) ).

tff(c_122087,plain,
    ( ( select(a_871,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122078,c_96]) ).

tff(c_122106,plain,
    select(a_871,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_122087]) ).

tff(c_122174,plain,
    ( ( select(a_869,i5) = e_875 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122106,c_491]) ).

tff(c_122180,plain,
    select(a_869,i5) = e_875,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_122174]) ).

tff(c_122492,plain,
    ( ( select(a_867,i5) = e_875 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122180,c_440]) ).

tff(c_122498,plain,
    ( ( e_875 = e_866 )
    | ( i5 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_122492]) ).

tff(c_122499,plain,
    e_875 = e_866,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_122498]) ).

tff(c_113002,plain,
    ! [J_1114] :
      ( ( select(a_850,J_1114) = select(a_848,J_1114) )
      | ( i1 = J_1114 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_409]) ).

tff(c_113011,plain,
    ( ( select(a_848,i5) = e_854 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_113002,c_90820]) ).

tff(c_113029,plain,
    ( ( e_854 = e_847 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_343,c_113011]) ).

tff(c_113030,plain,
    e_854 = e_847,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_113029]) ).

tff(c_113041,plain,
    select(a_857,i5) = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_113030,c_598]) ).

tff(c_121824,plain,
    ! [J_1155] :
      ( ( select(a_857,J_1155) = select(a_855,J_1155) )
      | ( i5 = J_1155 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_409]) ).

tff(c_121842,plain,
    ( ( select(a_855,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107778,c_121824]) ).

tff(c_121959,plain,
    i_881 = i5,
    inference(splitLeft,[status(thm)],[c_121842]) ).

tff(c_121961,plain,
    select(a_857,i5) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_121959,c_107778]) ).

tff(c_121967,plain,
    e_882 = e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_113041,c_121961]) ).

tff(c_113110,plain,
    ! [J_1115] :
      ( ( select(a_880,J_1115) = select(a_878,J_1115) )
      | ( i2 = J_1115 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_409]) ).

tff(c_113119,plain,
    ( ( select(a_878,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_113110,c_104]) ).

tff(c_113131,plain,
    select(a_878,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_113119]) ).

tff(c_121960,plain,
    select(a_878,i5) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_121959,c_113131]) ).

tff(c_121966,plain,
    e_883 = e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_621,c_121960]) ).

tff(c_121972,plain,
    e_882 != e_875,
    inference(demodulation,[status(thm),theory(equality)],[c_121966,c_108]) ).

tff(c_121996,plain,
    e_875 != e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_121967,c_121972]) ).

tff(c_122506,plain,
    e_866 != e_847,
    inference(demodulation,[status(thm),theory(equality)],[c_122499,c_121996]) ).

tff(c_122668,plain,
    e_866 != e_837,
    inference(demodulation,[status(thm),theory(equality)],[c_122662,c_122506]) ).

tff(c_122758,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_122718,c_122668]) ).

tff(c_122760,plain,
    i_881 != i5,
    inference(splitRight,[status(thm)],[c_121842]) ).

tff(c_122759,plain,
    select(a_855,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_121842]) ).

tff(c_123464,plain,
    ! [J_1174] :
      ( ( select(a_855,J_1174) = select(a_853,J_1174) )
      | ( i2 = J_1174 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_409]) ).

tff(c_123479,plain,
    ( ( select(a_853,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122759,c_123464]) ).

tff(c_123488,plain,
    select(a_853,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_123479]) ).

tff(c_123838,plain,
    ( ( select(a_851,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123488,c_467]) ).

tff(c_123844,plain,
    select(a_851,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_123838]) ).

tff(c_124225,plain,
    ( ( select(a_850,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123844,c_452]) ).

tff(c_126974,plain,
    i_881 = i1,
    inference(splitLeft,[status(thm)],[c_124225]) ).

tff(c_126976,plain,
    select(a_851,i1) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_126974,c_123844]) ).

tff(c_126989,plain,
    e_882 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_123875,c_126976]) ).

tff(c_123014,plain,
    ! [J_1170] :
      ( ( select(a_867,J_1170) = select(a_865,J_1170) )
      | ( i5 = J_1170 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_409]) ).

tff(c_123032,plain,
    ( ( select(a_865,i1) = e_870 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_107826,c_123014]) ).

tff(c_123040,plain,
    select(a_865,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_123032]) ).

tff(c_123101,plain,
    ( ( select(a_863,i1) = e_870 )
    | ( i1 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123040,c_458]) ).

tff(c_123107,plain,
    select(a_863,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_90734,c_123101]) ).

tff(c_123183,plain,
    ( ( select(a_861,i1) = e_870 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123107,c_473]) ).

tff(c_123189,plain,
    select(a_861,i1) = e_870,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_123183]) ).

tff(c_124185,plain,
    ( ( select(a_860,i1) = e_870 )
    | ( i2 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123189,c_470]) ).

tff(c_124191,plain,
    ( ( e_870 = e_839 )
    | ( i2 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_124185]) ).

tff(c_124192,plain,
    e_870 = e_839,
    inference(negUnitSimplification,[status(thm)],[c_104994,c_124191]) ).

tff(c_124200,plain,
    select(a_872,i1) = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_124192,c_340]) ).

tff(c_122786,plain,
    ! [J_1167] :
      ( ( select(a_878,J_1167) = select(a_876,J_1167) )
      | ( i5 = J_1167 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_409]) ).

tff(c_122792,plain,
    ( ( select(a_876,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122786,c_113131]) ).

tff(c_122806,plain,
    select(a_876,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_122792]) ).

tff(c_122816,plain,
    ( ( select(a_874,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122806,c_482]) ).

tff(c_122822,plain,
    select(a_874,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_122816]) ).

tff(c_123210,plain,
    ( ( select(a_872,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_485,c_122822]) ).

tff(c_123214,plain,
    select(a_872,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_123210]) ).

tff(c_126975,plain,
    select(a_872,i1) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_126974,c_123214]) ).

tff(c_126988,plain,
    e_883 = e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_124200,c_126975]) ).

tff(c_126994,plain,
    e_882 != e_839,
    inference(demodulation,[status(thm),theory(equality)],[c_126988,c_108]) ).

tff(c_127004,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_126989,c_126994]) ).

tff(c_127006,plain,
    i_881 != i1,
    inference(splitRight,[status(thm)],[c_124225]) ).

tff(c_124239,plain,
    ( ( select(a_871,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_443,c_123214]) ).

tff(c_127071,plain,
    select(a_871,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_127006,c_124239]) ).

tff(c_127075,plain,
    ( ( select(a_869,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127071,c_491]) ).

tff(c_127081,plain,
    select(a_869,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_127006,c_127075]) ).

tff(c_127087,plain,
    ( ( select(a_867,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127081,c_440]) ).

tff(c_127093,plain,
    select(a_867,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_127087]) ).

tff(c_127100,plain,
    ( ( select(a_865,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127093,c_479]) ).

tff(c_127106,plain,
    select(a_865,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_127100]) ).

tff(c_127113,plain,
    ( ( select(a_863,i_881) = e_883 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127106,c_458]) ).

tff(c_127123,plain,
    i_881 = i0,
    inference(splitLeft,[status(thm)],[c_127113]) ).

tff(c_127005,plain,
    select(a_850,i_881) = e_882,
    inference(splitRight,[status(thm)],[c_124225]) ).

tff(c_127010,plain,
    ( ( select(a_848,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127005,c_488]) ).

tff(c_127016,plain,
    select(a_848,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_127006,c_127010]) ).

tff(c_127024,plain,
    ( ( select(a_846,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127016,c_446]) ).

tff(c_127030,plain,
    select(a_846,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_127024]) ).

tff(c_127037,plain,
    ( ( select(a_844,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127030,c_461]) ).

tff(c_127043,plain,
    select(a_844,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_127037]) ).

tff(c_127050,plain,
    ( ( select(a_842,i_881) = e_882 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127043,c_449]) ).

tff(c_127056,plain,
    select(a_842,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_127050]) ).

tff(c_127128,plain,
    select(a_842,i0) = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_127123,c_127056]) ).

tff(c_127148,plain,
    e_882 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_373,c_127128]) ).

tff(c_123230,plain,
    ! [J_1172] :
      ( ( select(a_861,J_1172) = select(a_860,J_1172) )
      | ( i2 = J_1172 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_409]) ).

tff(c_123239,plain,
    ( ( select(a_860,i5) = e_864 )
    | ( i5 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123230,c_86]) ).

tff(c_123257,plain,
    select(a_860,i5) = e_864,
    inference(negUnitSimplification,[status(thm)],[c_66890,c_123239]) ).

tff(c_123266,plain,
    ( ( select(a_836,i5) = e_864 )
    | ( i5 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_123257,c_497]) ).

tff(c_123272,plain,
    ( ( e_864 = e_841 )
    | ( i5 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_107856,c_123266]) ).

tff(c_123273,plain,
    e_864 = e_841,
    inference(negUnitSimplification,[status(thm)],[c_26628,c_123272]) ).

tff(c_123278,plain,
    select(a_865,i0) = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_123273,c_355]) ).

tff(c_127124,plain,
    select(a_865,i0) = e_883,
    inference(demodulation,[status(thm),theory(equality)],[c_127123,c_127106]) ).

tff(c_127147,plain,
    e_883 = e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_123278,c_127124]) ).

tff(c_127165,plain,
    e_882 != e_841,
    inference(demodulation,[status(thm),theory(equality)],[c_127147,c_108]) ).

tff(c_127176,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_127148,c_127165]) ).

tff(c_127178,plain,
    i_881 != i0,
    inference(splitRight,[status(thm)],[c_127113]) ).

tff(c_127067,plain,
    ( ( select(a_840,i_881) = e_882 )
    | ( i_881 = i0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_476,c_127056]) ).

tff(c_127218,plain,
    select(a_840,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_127178,c_127067]) ).

tff(c_127222,plain,
    ( ( select(a_838,i_881) = e_882 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127218,c_500]) ).

tff(c_127228,plain,
    select(a_838,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_127006,c_127222]) ).

tff(c_127239,plain,
    ( ( select(a_836,i_881) = e_882 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_127228]) ).

tff(c_127243,plain,
    select(a_836,i_881) = e_882,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_127239]) ).

tff(c_127177,plain,
    select(a_863,i_881) = e_883,
    inference(splitRight,[status(thm)],[c_127113]) ).

tff(c_127186,plain,
    ( ( select(a_861,i_881) = e_883 )
    | ( i_881 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_473,c_127177]) ).

tff(c_127190,plain,
    select(a_861,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_122760,c_127186]) ).

tff(c_127200,plain,
    ( ( select(a_860,i_881) = e_883 )
    | ( i_881 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_127190]) ).

tff(c_127204,plain,
    select(a_860,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_107779,c_127200]) ).

tff(c_127209,plain,
    ( ( select(a_836,i_881) = e_883 )
    | ( i_881 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_127204,c_497]) ).

tff(c_127215,plain,
    select(a_836,i_881) = e_883,
    inference(negUnitSimplification,[status(thm)],[c_127006,c_127209]) ).

tff(c_127260,plain,
    e_883 = e_882,
    inference(demodulation,[status(thm),theory(equality)],[c_127243,c_127215]) ).

tff(c_127261,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_108,c_127260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV537-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 22:42:31 EDT 2023
% 0.21/0.36  % CPUTime  : 
% 31.16/18.21  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.74/18.79  
% 31.74/18.79  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.35/18.92  
% 32.35/18.92  Inference rules
% 32.35/18.92  ----------------------
% 32.35/18.92  #Ref     : 0
% 32.35/18.92  #Sup     : 36052
% 32.35/18.92  #Fact    : 0
% 32.35/18.92  #Define  : 0
% 32.35/18.92  #Split   : 223
% 32.35/18.92  #Chain   : 0
% 32.35/18.92  #Close   : 0
% 32.35/18.92  
% 32.35/18.92  Ordering : KBO
% 32.35/18.92  
% 32.35/18.92  Simplification rules
% 32.35/18.92  ----------------------
% 32.35/18.92  #Subsume      : 2056
% 32.35/18.92  #Demod        : 21622
% 32.35/18.92  #Tautology    : 32109
% 32.35/18.92  #SimpNegUnit  : 7539
% 32.35/18.92  #BackRed      : 8866
% 32.35/18.92  
% 32.35/18.92  #Partial instantiations: 0
% 32.35/18.92  #Strategies tried      : 1
% 32.35/18.92  
% 32.35/18.92  Timing (in seconds)
% 32.35/18.92  ----------------------
% 32.35/18.93  Preprocessing        : 0.53
% 32.35/18.93  Parsing              : 0.28
% 32.35/18.93  CNF conversion       : 0.03
% 32.35/18.93  Main loop            : 16.65
% 32.35/18.93  Inferencing          : 5.25
% 32.35/18.93  Reduction            : 7.34
% 32.35/18.93  Demodulation         : 5.74
% 32.35/18.93  BG Simplification    : 0.11
% 32.35/18.93  Subsumption          : 2.80
% 32.35/18.93  Abstraction          : 0.20
% 32.35/18.93  MUC search           : 0.00
% 32.35/18.93  Cooper               : 0.00
% 32.35/18.93  Total                : 17.90
% 32.35/18.93  Index Insertion      : 0.00
% 32.35/18.93  Index Deletion       : 0.00
% 32.35/18.93  Index Matching       : 0.00
% 32.35/18.93  BG Taut test         : 0.00
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