0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -m 90000 -t %d %s
0.02/0.24	% Computer   : n014.star.cs.uiowa.edu
0.02/0.24	% Model      : x86_64 x86_64
0.02/0.24	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.24	% Memory     : 32218.625MB
0.02/0.24	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.24	% CPULimit   : 300
0.02/0.24	% DateTime   : Sat Jul 14 04:57:24 CDT 2018
0.02/0.24	% CPUTime    : 
0.07/0.24	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.07/0.24	% remaining time: 2999 next slice time: 3
0.07/0.27	dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark
0.48/0.67	% (61065)Time limit reached!
0.48/0.67	% ------------------------------
0.48/0.67	% Version: Vampire 4.1 for CASC J8 Entry
0.48/0.67	% Termination reason: Time limit
0.48/0.67	% Termination phase: Saturation
0.48/0.67	
0.48/0.67	% Memory used [KB]: 7291
0.48/0.67	% Time elapsed: 0.400 s
0.48/0.67	% ------------------------------
0.48/0.67	% ------------------------------
0.48/0.67	% remaining time: 2995 next slice time: 3
0.48/0.68	lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark
0.49/1.07	% (61066)Time limit reached!
0.49/1.07	% ------------------------------
0.49/1.07	% Version: Vampire 4.1 for CASC J8 Entry
0.49/1.07	% Termination reason: Time limit
0.49/1.07	% Termination phase: Saturation
0.49/1.07	
0.49/1.07	% Memory used [KB]: 7547
0.49/1.07	% Time elapsed: 0.400 s
0.49/1.07	% ------------------------------
0.49/1.07	% ------------------------------
0.49/1.08	% remaining time: 2991 next slice time: 5
0.49/1.08	lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark
1.45/1.68	% (61067)Time limit reached!
1.45/1.68	% ------------------------------
1.45/1.68	% Version: Vampire 4.1 for CASC J8 Entry
1.45/1.68	% Termination reason: Time limit
1.45/1.68	% Termination phase: Saturation
1.45/1.68	
1.45/1.68	% Memory used [KB]: 11897
1.45/1.68	% Time elapsed: 0.600 s
1.45/1.68	% ------------------------------
1.45/1.68	% ------------------------------
1.45/1.68	% remaining time: 2985 next slice time: 9
1.45/1.68	dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark
2.47/2.68	% (61069)Time limit reached!
2.47/2.68	% ------------------------------
2.47/2.68	% Version: Vampire 4.1 for CASC J8 Entry
2.47/2.68	% Termination reason: Time limit
2.47/2.68	% Termination phase: Saturation
2.47/2.68	
2.47/2.68	% Memory used [KB]: 31598
2.47/2.68	% Time elapsed: 1.0000 s
2.47/2.68	% ------------------------------
2.47/2.68	% ------------------------------
2.47/2.68	% remaining time: 2975 next slice time: 10
2.47/2.69	dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark
3.57/3.78	% (61070)Time limit reached!
3.57/3.78	% ------------------------------
3.57/3.78	% Version: Vampire 4.1 for CASC J8 Entry
3.57/3.78	% Termination reason: Time limit
3.57/3.78	% Termination phase: Saturation
3.57/3.78	
3.57/3.78	% Memory used [KB]: 6908
3.57/3.78	% Time elapsed: 1.100 s
3.57/3.78	% ------------------------------
3.57/3.78	% ------------------------------
3.57/3.79	% remaining time: 2964 next slice time: 40
3.62/3.79	lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark
7.69/7.89	% (61071)Time limit reached!
7.69/7.89	% ------------------------------
7.69/7.89	% Version: Vampire 4.1 for CASC J8 Entry
7.69/7.89	% Termination reason: Time limit
7.69/7.89	% Termination phase: Saturation
7.69/7.89	
7.69/7.89	% Memory used [KB]: 89166
7.69/7.89	% Time elapsed: 4.100 s
7.69/7.89	% ------------------------------
7.69/7.89	% ------------------------------
7.69/7.90	% remaining time: 2923 next slice time: 10
7.69/7.90	lrs+1010_2:1_bd=off:cond=on:er=filter:gs=on:gsem=on:inw=on:irw=on:lma=on:nm=0:nwc=1.3:sas=z3:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=2.0:smm=off:ssnc=none:sp=reverse_arity:updr=off_8 on theBenchmark
8.80/9.00	% (61072)Time limit reached!
8.80/9.00	% ------------------------------
8.80/9.00	% Version: Vampire 4.1 for CASC J8 Entry
8.80/9.00	% Termination reason: Time limit
8.80/9.00	% Termination phase: Saturation
8.80/9.00	
8.80/9.00	% Memory used [KB]: 10106
8.80/9.00	% Time elapsed: 1.100 s
8.80/9.00	% ------------------------------
8.80/9.00	% ------------------------------
8.80/9.00	% remaining time: 2912 next slice time: 162
8.80/9.00	dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark
25.20/25.30	% (61073)Time limit reached!
25.20/25.30	% ------------------------------
25.20/25.30	% Version: Vampire 4.1 for CASC J8 Entry
25.20/25.30	% Termination reason: Time limit
25.20/25.30	% Termination phase: Saturation
25.20/25.30	
25.20/25.30	% Memory used [KB]: 333128
25.20/25.30	% Time elapsed: 16.300 s
25.20/25.30	% ------------------------------
25.20/25.30	% ------------------------------
25.20/25.33	% remaining time: 2749 next slice time: 6
25.20/25.33	lrs-11_3_bd=off:cond=on:gs=on:gsem=off:irw=on:inst=on:nm=4:nwc=3:sas=z3:stl=30:sdd=off:sfr=on:ssfp=100000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark
25.92/26.03	% (61074)Time limit reached!
25.92/26.03	% ------------------------------
25.92/26.03	% Version: Vampire 4.1 for CASC J8 Entry
25.92/26.03	% Termination reason: Time limit
25.92/26.03	% Termination phase: Saturation
25.92/26.03	
25.92/26.03	% Memory used [KB]: 8571
25.92/26.03	% Time elapsed: 0.700 s
25.92/26.03	% ------------------------------
25.92/26.03	% ------------------------------
25.92/26.03	% remaining time: 2742 next slice time: 6
25.92/26.03	dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark
25.96/26.21	% Refutation found. Thanks to Tanya!
25.96/26.21	% SZS status Theorem for theBenchmark
25.96/26.21	% SZS output start Proof for theBenchmark
25.96/26.21	tff(type_def_6, type, uni: $tType).
25.96/26.21	tff(type_def_7, type, ty: $tType).
25.96/26.21	tff(type_def_8, type, bool1: $tType).
25.96/26.21	tff(type_def_9, type, tuple02: $tType).
25.96/26.21	tff(type_def_10, type, map_int_int: $tType).
25.96/26.21	tff(type_def_11, type, sudoku_chunks1: $tType).
25.96/26.21	tff(type_def_12, type, array_int: $tType).
25.96/26.21	tff(func_def_0, type, witness1: ty > uni).
25.96/26.21	tff(func_def_1, type, int: ty).
25.96/26.21	tff(func_def_2, type, real: ty).
25.96/26.21	tff(func_def_3, type, bool: ty).
25.96/26.21	tff(func_def_4, type, true1: bool1).
25.96/26.21	tff(func_def_5, type, false1: bool1).
25.96/26.21	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
25.96/26.21	tff(func_def_7, type, tuple0: ty).
25.96/26.21	tff(func_def_8, type, tuple03: tuple02).
25.96/26.21	tff(func_def_9, type, qtmark: ty).
25.96/26.21	tff(func_def_10, type, map: (ty * ty) > ty).
25.96/26.21	tff(func_def_11, type, get: (ty * ty * uni * uni) > uni).
25.96/26.21	tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni).
25.96/26.21	tff(func_def_13, type, const: (ty * ty * uni) > uni).
25.96/26.21	tff(func_def_14, type, t2tb: map_int_int > uni).
25.96/26.21	tff(func_def_15, type, tb2t: uni > map_int_int).
25.96/26.21	tff(func_def_16, type, t2tb1: $int > uni).
25.96/26.21	tff(func_def_17, type, tb2t1: uni > $int).
25.96/26.21	tff(func_def_18, type, array: ty > ty).
25.96/26.21	tff(func_def_19, type, mk_array1: (ty * $int * uni) > uni).
25.96/26.21	tff(func_def_20, type, length1: (ty * uni) > $int).
25.96/26.21	tff(func_def_21, type, elts: (ty * uni) > uni).
25.96/26.21	tff(func_def_22, type, get2: (ty * uni * $int) > uni).
25.96/26.21	tff(func_def_23, type, set2: (ty * uni * $int * uni) > uni).
25.96/26.21	tff(func_def_24, type, make1: (ty * $int * uni) > uni).
25.96/26.21	tff(func_def_25, type, sudoku_chunks: ty).
25.96/26.21	tff(func_def_26, type, mk_sudoku_chunks1: (array_int * array_int * array_int * array_int * array_int * array_int) > sudoku_chunks1).
25.96/26.21	tff(func_def_27, type, column_start1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_28, type, column_offsets1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_29, type, row_start1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_30, type, row_offsets1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_31, type, square_start1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_32, type, square_offsets1: sudoku_chunks1 > array_int).
25.96/26.21	tff(func_def_33, type, t2tb2: array_int > uni).
25.96/26.21	tff(func_def_34, type, tb2t2: uni > array_int).
25.96/26.21	tff(func_def_42, type, sK5: ($int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * map_int_int) > $int).
25.96/26.21	tff(func_def_43, type, sK6: $int).
25.96/26.21	tff(func_def_44, type, sK7: map_int_int).
25.96/26.21	tff(func_def_45, type, sK8: $int).
25.96/26.21	tff(func_def_46, type, sK9: map_int_int).
25.96/26.21	tff(func_def_47, type, sK10: $int).
25.96/26.21	tff(func_def_48, type, sK11: map_int_int).
25.96/26.21	tff(func_def_49, type, sK12: $int).
25.96/26.21	tff(func_def_50, type, sK13: map_int_int).
25.96/26.21	tff(func_def_51, type, sK14: $int).
25.96/26.21	tff(func_def_52, type, sK15: map_int_int).
25.96/26.21	tff(func_def_53, type, sK16: $int).
25.96/26.21	tff(func_def_54, type, sK17: map_int_int).
25.96/26.21	tff(func_def_55, type, sK18: $int).
25.96/26.21	tff(func_def_56, type, sK19: map_int_int).
25.96/26.21	tff(func_def_57, type, sK20: map_int_int > $int).
25.96/26.21	tff(func_def_58, type, sK21: map_int_int > $int).
25.96/26.21	tff(func_def_59, type, sK22: (map_int_int * map_int_int) > $int).
25.96/26.21	tff(func_def_60, type, sK23: (array_int * array_int) > $int).
25.96/26.21	tff(func_def_61, type, sK24: (array_int * array_int) > $int).
25.96/26.21	tff(func_def_62, type, sK25: (array_int * array_int) > $int).
25.96/26.21	tff(func_def_63, type, sK26: (array_int * array_int) > $int).
25.96/26.21	tff(func_def_64, type, sK27: (array_int * array_int) > $int).
25.96/26.21	tff(func_def_65, type, sK28: (sudoku_chunks1 * map_int_int) > $int).
25.96/26.21	tff(func_def_66, type, sK29: (sudoku_chunks1 * map_int_int * $int) > $int).
25.96/26.21	tff(func_def_67, type, sK30: (map_int_int * map_int_int * $int * $int) > $int).
25.96/26.21	tff(func_def_68, type, sK31: (map_int_int * $int * array_int * array_int) > $int).
25.96/26.21	tff(func_def_69, type, sK32: (map_int_int * $int * array_int * array_int) > $int).
25.96/26.21	tff(func_def_70, type, sK33: (map_int_int * $int * array_int * array_int * $int) > $int).
25.96/26.21	tff(func_def_71, type, sK34: (map_int_int * $int * array_int * array_int * $int) > $int).
25.96/26.21	tff(pred_def_1, type, sort1: (ty * uni) > $o).
25.96/26.21	tff(pred_def_2, type, is_index1: $int > $o).
25.96/26.21	tff(pred_def_3, type, valid_values1: map_int_int > $o).
25.96/26.21	tff(pred_def_4, type, grid_eq_sub1: (map_int_int * map_int_int * $int * $int) > $o).
25.96/26.21	tff(pred_def_5, type, chunk_valid_indexes1: (array_int * array_int) > $o).
25.96/26.21	tff(pred_def_6, type, disjoint_chunks1: (array_int * array_int) > $o).
25.96/26.21	tff(pred_def_7, type, well_formed_sudoku1: sudoku_chunks1 > $o).
25.96/26.21	tff(pred_def_8, type, valid_chunk1: (map_int_int * $int * array_int * array_int) > $o).
25.96/26.21	tff(pred_def_9, type, valid_column1: (sudoku_chunks1 * map_int_int * $int) > $o).
25.96/26.21	tff(pred_def_10, type, valid_row1: (sudoku_chunks1 * map_int_int * $int) > $o).
25.96/26.21	tff(pred_def_11, type, valid_square1: (sudoku_chunks1 * map_int_int * $int) > $o).
25.96/26.21	tff(pred_def_12, type, valid1: (sudoku_chunks1 * map_int_int) > $o).
25.96/26.21	tff(pred_def_13, type, full1: map_int_int > $o).
25.96/26.21	tff(pred_def_14, type, included1: (map_int_int * map_int_int) > $o).
25.96/26.21	tff(pred_def_15, type, is_solution_for1: (sudoku_chunks1 * map_int_int * map_int_int) > $o).
25.96/26.21	tff(pred_def_16, type, valid_chunk_up_to1: (map_int_int * $int * array_int * array_int * $int) > $o).
25.96/26.21	tff(pred_def_17, type, valid_up_to1: (sudoku_chunks1 * map_int_int * $int) > $o).
25.96/26.21	tff(pred_def_20, type, sP0: (map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * $int) > $o).
25.96/26.21	tff(pred_def_21, type, sP1: (map_int_int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * $int * $int) > $o).
25.96/26.21	tff(pred_def_22, type, sP2: ($int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * $int * map_int_int * map_int_int) > $o).
25.96/26.21	tff(pred_def_23, type, sP3: (array_int * array_int) > $o).
25.96/26.21	tff(pred_def_24, type, sP4: (array_int * array_int) > $o).
25.96/26.21	tff(f2,axiom,(
25.96/26.21	  ! [X1 : uni] : t2tb2(tb2t2(X1)) = X1),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)).
25.96/26.21	tff(f5,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : square_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X10),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_start_def1)).
25.96/26.21	tff(f19,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : column_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X7),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_offsets_def1)).
25.96/26.21	tff(f21,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int,X0 : $int] : (valid_square1(X19,X20,X0) <=> valid_chunk1(X20,X0,square_start1(X19),square_offsets1(X19)))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_square_def)).
25.96/26.21	tff(f22,axiom,(
25.96/26.21	  ! [X2 : ty,X5 : uni,X0 : $int] : get(X2,int,elts(X2,X5),t2tb1(X0)) = get2(X2,X5,X0)),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)).
25.96/26.21	tff(f23,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1] : (well_formed_sudoku1(X19) <=> (chunk_valid_indexes1(row_start1(X19),row_offsets1(X19)) & chunk_valid_indexes1(square_start1(X19),square_offsets1(X19)) & disjoint_chunks1(row_start1(X19),row_offsets1(X19)) & disjoint_chunks1(square_start1(X19),square_offsets1(X19)) & disjoint_chunks1(column_start1(X19),column_offsets1(X19)) & chunk_valid_indexes1(column_start1(X19),column_offsets1(X19))))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_formed_sudoku_def)).
25.96/26.21	tff(f26,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : column_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X6),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_start_def1)).
25.96/26.21	tff(f29,axiom,(
25.96/26.21	  ! [X20 : map_int_int,X0 : $int,X23 : array_int,X24 : array_int] : (! [X25 : $int,X26 : $int] : (($lesseq(0,X25) & $less(X25,9) & $less(X26,9) & X25 != X26 & $lesseq(0,X26)) => (($lesseq(1,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25))))))) & $lesseq(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25)))))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26))))))) & $lesseq(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26)))))),9)) => tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26)))))))) <=> valid_chunk1(X20,X0,X23,X24))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_chunk_def)).
25.96/26.21	tff(f30,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int] : (! [X0 : $int] : (is_index1(X0) => (valid_column1(X19,X20,X0) & valid_row1(X19,X20,X0) & valid_square1(X19,X20,X0))) <=> valid1(X19,X20))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_def)).
25.96/26.21	tff(f32,axiom,(
25.96/26.21	  ! [X0 : $int] : (($less(X0,81) & $lesseq(0,X0)) <=> is_index1(X0))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_index_def)).
25.96/26.21	tff(f36,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : row_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X8),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_start_def1)).
25.96/26.21	tff(f40,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int,X0 : $int] : (valid_column1(X19,X20,X0) <=> valid_chunk1(X20,X0,column_start1(X19),column_offsets1(X19)))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_column_def)).
25.96/26.21	tff(f42,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int,X0 : $int] : (valid_row1(X19,X20,X0) <=> valid_chunk1(X20,X0,row_start1(X19),row_offsets1(X19)))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_row_def)).
25.96/26.21	tff(f43,axiom,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int,X0 : $int] : (valid_up_to1(X19,X20,X0) <=> ! [X1 : $int] : (($less(X1,X0) & $lesseq(0,X1)) => (valid_column1(X19,X20,X1) & valid_square1(X19,X20,X1) & valid_row1(X19,X20,X1))))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_up_to_def)).
25.96/26.21	tff(f52,conjecture,(
25.96/26.21	  ! [X19 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X20 : $int,X14 : map_int_int] : (($lesseq(0,X38) & $lesseq(0,X42) & $lesseq(0,X46) & $lesseq(0,X20) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & valid_values1(X14) & 81 = X20 & $lesseq(0,X44) & $lesseq(0,X40) & $lesseq(0,X19)) => (($lesseq(0,80) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,0) & ! [X0 : $int] : (($lesseq(0,X0) & $lesseq(X0,80)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,X0) => (valid_values1(X14) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X14) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X14) & is_index1(X0) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(X0,1))) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & 81 = X20)) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & is_index1(X0) & 81 = X20)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) & is_index1(X0) & 81 = X20))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14))))),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_check_valid)).
25.96/26.21	tff(f53,negated_conjecture,(
25.96/26.21	  ~! [X19 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X20 : $int,X14 : map_int_int] : (($lesseq(0,X38) & $lesseq(0,X42) & $lesseq(0,X46) & $lesseq(0,X20) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & valid_values1(X14) & 81 = X20 & $lesseq(0,X44) & $lesseq(0,X40) & $lesseq(0,X19)) => (($lesseq(0,80) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,0) & ! [X0 : $int] : (($lesseq(0,X0) & $lesseq(X0,80)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,X0) => (valid_values1(X14) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X14) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X14) & is_index1(X0) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(X0,1))) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & 81 = X20)) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & is_index1(X0) & 81 = X20)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) & is_index1(X0) & 81 = X20))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14))))),
25.96/26.21	  inference(negated_conjecture,[],[f52])).
25.96/26.21	tff(f55,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : row_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X9),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_offsets_def1)).
25.96/26.21	tff(f57,axiom,(
25.96/26.21	  ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : square_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X11),
25.96/26.21	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_offsets_def1)).
25.96/26.21	tff(f63,plain,(
25.96/26.21	  ~! [X19 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X20 : $int,X14 : map_int_int] : ((~$less(X38,0) & ~$less(X42,0) & ~$less(X46,0) & ~$less(X20,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & valid_values1(X14) & 81 = X20 & ~$less(X44,0) & ~$less(X40,0) & ~$less(X19,0)) => ((~$less(80,0) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,0) & ! [X0 : $int] : ((~$less(X0,0) & ~$less(80,X0)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,X0) => (valid_values1(X14) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X14) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X14) & is_index1(X0) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & (valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(X0,1))) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & 81 = X20)) & (~valid_chunk1(X14,X0,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & is_index1(X0) & 81 = X20)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) & is_index1(X0) & 81 = X20))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14)))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X19,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X14))))),
25.96/26.21	  inference(evaluation,[],[f53])).
25.96/26.21	tff(f65,plain,(
25.96/26.21	  ! [X0 : $int] : (($less(X0,81) & ~$less(X0,0)) <=> is_index1(X0))),
25.96/26.21	  inference(evaluation,[],[f32])).
25.96/26.21	tff(f71,plain,(
25.96/26.21	  ! [X19 : sudoku_chunks1,X20 : map_int_int,X0 : $int] : (valid_up_to1(X19,X20,X0) <=> ! [X1 : $int] : (($less(X1,X0) & ~$less(X1,0)) => (valid_column1(X19,X20,X1) & valid_square1(X19,X20,X1) & valid_row1(X19,X20,X1))))),
25.96/26.21	  inference(evaluation,[],[f43])).
25.96/26.21	tff(f74,plain,(
25.96/26.21	  ! [X20 : map_int_int,X0 : $int,X23 : array_int,X24 : array_int] : (! [X25 : $int,X26 : $int] : ((~$less(X25,0) & $less(X25,9) & $less(X26,9) & X25 != X26 & ~$less(X26,0)) => ((~$less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25))))))) & ~$less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26)))))))) => tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X23),X0)),tb2t1(get2(int,t2tb2(X24),X26)))))))) <=> valid_chunk1(X20,X0,X23,X24))),
25.96/26.21	  inference(evaluation,[],[f29])).
25.96/26.21	tff(f76,plain,(
25.96/26.21	  ~! [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((~$less(X2,0) & ~$less(X6,0) & ~$less(X10,0) & ~$less(X12,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & valid_values1(X13) & 81 = X12 & ~$less(X8,0) & ~$less(X4,0) & ~$less(X0,0)) => ((~$less(80,0) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0) & ! [X14 : $int] : ((~$less(X14,0) & ~$less(80,X14)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) => (valid_values1(X13) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) => (valid_values1(X13) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => (valid_values1(X13) & is_index1(X14) & chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1))) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & 81 = X12)) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) & is_index1(X14) & 81 = X12)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) & is_index1(X14) & 81 = X12))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13))))),
25.96/26.21	  inference(rectify,[],[f63])).
25.96/26.21	tff(f80,plain,(
25.96/26.21	  ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0),
25.96/26.21	  inference(rectify,[],[f2])).
25.96/26.21	tff(f88,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1] : (well_formed_sudoku1(X0) <=> (chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(column_start1(X0),column_offsets1(X0))))),
25.96/26.21	  inference(rectify,[],[f23])).
25.96/26.21	tff(f96,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int] : (! [X2 : $int] : (is_index1(X2) => (valid_column1(X0,X1,X2) & valid_row1(X0,X1,X2) & valid_square1(X0,X1,X2))) <=> valid1(X0,X1))),
25.96/26.21	  inference(rectify,[],[f30])).
25.96/26.21	tff(f103,plain,(
25.96/26.21	  ! [X0 : ty,X1 : uni,X2 : $int] : get(X0,int,elts(X0,X1),t2tb1(X2)) = get2(X0,X1,X2)),
25.96/26.21	  inference(rectify,[],[f22])).
25.96/26.21	tff(f109,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_column1(X0,X1,X2) <=> valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)))),
25.96/26.21	  inference(rectify,[],[f40])).
25.96/26.21	tff(f110,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_square1(X0,X1,X2) <=> valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)))),
25.96/26.21	  inference(rectify,[],[f21])).
25.96/26.21	tff(f111,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_row1(X0,X1,X2) <=> valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)))),
25.96/26.21	  inference(rectify,[],[f42])).
25.96/26.21	tff(f112,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_up_to1(X0,X1,X2) <=> ! [X3 : $int] : (($less(X3,X2) & ~$less(X3,0)) => (valid_column1(X0,X1,X3) & valid_square1(X0,X1,X3) & valid_row1(X0,X1,X3))))),
25.96/26.21	  inference(rectify,[],[f71])).
25.96/26.21	tff(f121,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : ((~$less(X4,0) & $less(X4,9) & $less(X5,9) & X4 != X5 & ~$less(X5,0)) => ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))))) => tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))))) <=> valid_chunk1(X0,X1,X2,X3))),
25.96/26.21	  inference(rectify,[],[f74])).
25.96/26.21	tff(f125,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5),
25.96/26.21	  inference(rectify,[],[f57])).
25.96/26.21	tff(f126,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3),
25.96/26.21	  inference(rectify,[],[f55])).
25.96/26.21	tff(f127,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X2),
25.96/26.21	  inference(rectify,[],[f36])).
25.96/26.21	tff(f128,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X4),
25.96/26.21	  inference(rectify,[],[f5])).
25.96/26.21	tff(f129,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X0),
25.96/26.21	  inference(rectify,[],[f26])).
25.96/26.21	tff(f130,plain,(
25.96/26.21	  ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1),
25.96/26.21	  inference(rectify,[],[f19])).
25.96/26.21	tff(f132,plain,(
25.96/26.21	  ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0) | ? [X14 : $int] : (((~valid_values1(X13) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | ((~valid_values1(X13) | ~is_index1(X14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~is_index1(X14) | 81 != X12) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14)) & (~$less(X14,0) & ~$less(80,X14))) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & (~$less(X2,0) & ~$less(X6,0) & ~$less(X10,0) & ~$less(X12,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & valid_values1(X13) & 81 = X12 & ~$less(X8,0) & ~$less(X4,0) & ~$less(X0,0)))),
25.96/26.21	  inference(ennf_transformation,[],[f76])).
25.96/26.21	tff(f133,plain,(
25.96/26.21	  ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0) | ? [X14 : $int] : ((~valid_values1(X13) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | ((~valid_values1(X13) | ~is_index1(X14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~is_index1(X14) | 81 != X12) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) & ~$less(X14,0) & ~$less(80,X14)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & ~$less(X2,0) & ~$less(X6,0) & ~$less(X10,0) & ~$less(X12,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & valid_values1(X13) & 81 = X12 & ~$less(X8,0) & ~$less(X4,0) & ~$less(X0,0))),
25.96/26.21	  inference(flattening,[],[f132])).
25.96/26.21	tff(f144,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int] : (! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_row1(X0,X1,X2) & valid_square1(X0,X1,X2)) | ~is_index1(X2)) <=> valid1(X0,X1))),
25.96/26.21	  inference(ennf_transformation,[],[f96])).
25.96/26.21	tff(f152,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_up_to1(X0,X1,X2) <=> ! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_square1(X0,X1,X3) & valid_row1(X0,X1,X3)) | (~$less(X3,X2) | $less(X3,0))))),
25.96/26.21	  inference(ennf_transformation,[],[f112])).
25.96/26.21	tff(f153,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_up_to1(X0,X1,X2) <=> ! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_square1(X0,X1,X3) & valid_row1(X0,X1,X3)) | ~$less(X3,X2) | $less(X3,0)))),
25.96/26.21	  inference(flattening,[],[f152])).
25.96/26.21	tff(f159,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : ((tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) | ($less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))))) | ($less(X4,0) | ~$less(X4,9) | ~$less(X5,9) | X4 = X5 | $less(X5,0))) <=> valid_chunk1(X0,X1,X2,X3))),
25.96/26.21	  inference(ennf_transformation,[],[f121])).
25.96/26.21	tff(f160,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(X4,0) | ~$less(X4,9) | ~$less(X5,9) | X4 = X5 | $less(X5,0)) <=> valid_chunk1(X0,X1,X2,X3))),
25.96/26.21	  inference(flattening,[],[f159])).
25.96/26.21	tff(f167,plain,(
25.96/26.21	  ! [X13 : map_int_int,X14 : $int,X11 : map_int_int,X10 : $int,X9 : map_int_int,X8 : $int,X7 : map_int_int,X6 : $int,X5 : map_int_int,X4 : $int,X3 : map_int_int,X2 : $int,X1 : map_int_int,X0 : $int,X12 : $int] : (((~valid_values1(X13) | ~is_index1(X14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~sP0(X13,X14,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X12))),
25.96/26.21	  introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
25.96/26.21	tff(f168,plain,(
25.96/26.21	  ! [X13 : map_int_int,X11 : map_int_int,X10 : $int,X9 : map_int_int,X8 : $int,X7 : map_int_int,X6 : $int,X5 : map_int_int,X4 : $int,X3 : map_int_int,X2 : $int,X1 : map_int_int,X0 : $int,X14 : $int,X12 : $int] : (~valid_values1(X13) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | sP0(X13,X14,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X12) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~is_index1(X14) | 81 != X12 | ~sP1(X13,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X14,X12))),
25.96/26.21	  introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
25.96/26.21	tff(f169,plain,(
25.96/26.21	  ! [X12 : $int,X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X13 : map_int_int] : (? [X14 : $int] : (sP1(X13,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X14,X12) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) & ~$less(X14,0) & ~$less(80,X14)) | ~sP2(X12,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X13))),
25.96/26.21	  introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
25.96/26.21	tff(f170,plain,(
25.96/26.21	  ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0) | sP2(X12,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X13) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & ~$less(X2,0) & ~$less(X6,0) & ~$less(X10,0) & ~$less(X12,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & valid_values1(X13) & 81 = X12 & ~$less(X8,0) & ~$less(X4,0) & ~$less(X0,0))),
25.96/26.21	  inference(definition_folding,[],[f133,f169,f168,f167])).
25.96/26.21	tff(f175,plain,(
25.96/26.21	  ! [X12 : $int,X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X13 : map_int_int] : (? [X14 : $int] : (sP1(X13,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X14,X12) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) & ~$less(X14,0) & ~$less(80,X14)) | ~sP2(X12,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X13))),
25.96/26.21	  inference(nnf_transformation,[],[f169])).
25.96/26.21	tff(f176,plain,(
25.96/26.21	  ! [X0 : $int,X1 : $int,X2 : map_int_int,X3 : $int,X4 : map_int_int,X5 : $int,X6 : map_int_int,X7 : $int,X8 : map_int_int,X9 : $int,X10 : map_int_int,X11 : $int,X12 : map_int_int,X13 : map_int_int] : (? [X14 : $int] : (sP1(X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X14,X0) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X1,t2tb(X2))),tb2t2(mk_array1(int,X3,t2tb(X4))),tb2t2(mk_array1(int,X5,t2tb(X6))),tb2t2(mk_array1(int,X7,t2tb(X8))),tb2t2(mk_array1(int,X9,t2tb(X10))),tb2t2(mk_array1(int,X11,t2tb(X12)))),X13,X14) & ~$less(X14,0) & ~$less(80,X14)) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13))),
25.96/26.21	  inference(rectify,[],[f175])).
25.96/26.21	tff(f177,plain,(
25.96/26.21	  ! [X13 : map_int_int,X12 : map_int_int,X11 : $int,X10 : map_int_int,X9 : $int,X8 : map_int_int,X7 : $int,X6 : map_int_int,X5 : $int,X4 : map_int_int,X3 : $int,X2 : map_int_int,X1 : $int,X0 : $int] : (? [X14 : $int] : (sP1(X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X14,X0) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X1,t2tb(X2))),tb2t2(mk_array1(int,X3,t2tb(X4))),tb2t2(mk_array1(int,X5,t2tb(X6))),tb2t2(mk_array1(int,X7,t2tb(X8))),tb2t2(mk_array1(int,X9,t2tb(X10))),tb2t2(mk_array1(int,X11,t2tb(X12)))),X13,X14) & ~$less(X14,0) & ~$less(80,X14)) => (sP1(X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),X0) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X1,t2tb(X2))),tb2t2(mk_array1(int,X3,t2tb(X4))),tb2t2(mk_array1(int,X5,t2tb(X6))),tb2t2(mk_array1(int,X7,t2tb(X8))),tb2t2(mk_array1(int,X9,t2tb(X10))),tb2t2(mk_array1(int,X11,t2tb(X12)))),X13,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) & ~$less(sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),0) & ~$less(80,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13))))),
25.96/26.21	  introduced(choice_axiom,[])).
25.96/26.21	tff(f178,plain,(
25.96/26.21	  ! [X0 : $int,X1 : $int,X2 : map_int_int,X3 : $int,X4 : map_int_int,X5 : $int,X6 : map_int_int,X7 : $int,X8 : map_int_int,X9 : $int,X10 : map_int_int,X11 : $int,X12 : map_int_int,X13 : map_int_int] : ((sP1(X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),X0) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X1,t2tb(X2))),tb2t2(mk_array1(int,X3,t2tb(X4))),tb2t2(mk_array1(int,X5,t2tb(X6))),tb2t2(mk_array1(int,X7,t2tb(X8))),tb2t2(mk_array1(int,X9,t2tb(X10))),tb2t2(mk_array1(int,X11,t2tb(X12)))),X13,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) & ~$less(sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),0) & ~$less(80,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13))) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13))),
25.96/26.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f176,f177])).
25.96/26.21	tff(f179,plain,(
25.96/26.21	  ! [X13 : map_int_int,X11 : map_int_int,X10 : $int,X9 : map_int_int,X8 : $int,X7 : map_int_int,X6 : $int,X5 : map_int_int,X4 : $int,X3 : map_int_int,X2 : $int,X1 : map_int_int,X0 : $int,X14 : $int,X12 : $int] : (~valid_values1(X13) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | sP0(X13,X14,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X12) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~is_index1(X14) | 81 != X12 | ~sP1(X13,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X14,X12))),
25.96/26.21	  inference(nnf_transformation,[],[f168])).
25.96/26.21	tff(f180,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : $int,X14 : $int] : (~valid_values1(X0) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) & ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))))) | ((~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) & ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | 81 != X14) & valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14))),
25.96/26.21	  inference(rectify,[],[f179])).
25.96/26.21	tff(f181,plain,(
25.96/26.21	  ! [X13 : map_int_int,X14 : $int,X11 : map_int_int,X10 : $int,X9 : map_int_int,X8 : $int,X7 : map_int_int,X6 : $int,X5 : map_int_int,X4 : $int,X3 : map_int_int,X2 : $int,X1 : map_int_int,X0 : $int,X12 : $int] : (((~valid_values1(X13) | ~is_index1(X14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~sP0(X13,X14,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,X0,X12))),
25.96/26.21	  inference(nnf_transformation,[],[f167])).
25.96/26.21	tff(f182,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : map_int_int,X3 : $int,X4 : map_int_int,X5 : $int,X6 : map_int_int,X7 : $int,X8 : map_int_int,X9 : $int,X10 : map_int_int,X11 : $int,X12 : map_int_int,X13 : $int,X14 : $int] : (((~valid_values1(X0) | ~is_index1(X1) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0,$sum(X1,1)) & valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0) & ~valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2))))) | 81 != X14) & valid_chunk1(X0,X1,tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))))) | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14))),
25.96/26.21	  inference(rectify,[],[f181])).
25.96/26.21	tff(f183,plain,(
25.96/26.21	  ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0) | sP2(X12,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X13) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & ~$less(X2,0) & ~$less(X6,0) & ~$less(X10,0) & ~$less(X12,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & valid_values1(X13) & 81 = X12 & ~$less(X8,0) & ~$less(X4,0) & ~$less(X0,0)) => ((((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) & $less(80,0))) & ~$less(sK8,0) & ~$less(sK12,0) & ~$less(sK16,0) & ~$less(sK18,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))) & valid_values1(sK19) & 81 = sK18 & ~$less(sK14,0) & ~$less(sK10,0) & ~$less(sK6,0))),
25.96/26.21	  introduced(choice_axiom,[])).
25.96/26.21	tff(f184,plain,(
25.96/26.21	  (((~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)))) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) & $less(80,0))) & ~$less(sK8,0) & ~$less(sK12,0) & ~$less(sK16,0) & ~$less(sK18,0) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))) & valid_values1(sK19) & 81 = sK18 & ~$less(sK14,0) & ~$less(sK10,0) & ~$less(sK6,0)),
25.96/26.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f170,f183])).
25.96/26.21	tff(f189,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1] : ((well_formed_sudoku1(X0) | (~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)))) & ((chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(column_start1(X0),column_offsets1(X0))) | ~well_formed_sudoku1(X0)))),
25.96/26.21	  inference(nnf_transformation,[],[f88])).
25.96/26.21	tff(f190,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1] : ((well_formed_sudoku1(X0) | ~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0))) & ((chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(column_start1(X0),column_offsets1(X0))) | ~well_formed_sudoku1(X0)))),
25.96/26.21	  inference(flattening,[],[f189])).
25.96/26.21	tff(f191,plain,(
25.96/26.21	  ! [X0 : $int] : ((($less(X0,81) & ~$less(X0,0)) | ~is_index1(X0)) & (is_index1(X0) | (~$less(X0,81) | $less(X0,0))))),
25.96/26.21	  inference(nnf_transformation,[],[f65])).
25.96/26.21	tff(f192,plain,(
25.96/26.21	  ! [X0 : $int] : ((($less(X0,81) & ~$less(X0,0)) | ~is_index1(X0)) & (is_index1(X0) | ~$less(X0,81) | $less(X0,0)))),
25.96/26.21	  inference(flattening,[],[f191])).
25.96/26.21	tff(f213,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_row1(X0,X1,X2) & valid_square1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ? [X2 : $int] : ((~valid_column1(X0,X1,X2) | ~valid_row1(X0,X1,X2) | ~valid_square1(X0,X1,X2)) & is_index1(X2))))),
25.96/26.21	  inference(nnf_transformation,[],[f144])).
25.96/26.21	tff(f214,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_row1(X0,X1,X2) & valid_square1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_row1(X0,X1,X3) | ~valid_square1(X0,X1,X3)) & is_index1(X3))))),
25.96/26.21	  inference(rectify,[],[f213])).
25.96/26.21	tff(f215,plain,(
25.96/26.21	  ! [X1 : map_int_int,X0 : sudoku_chunks1] : (? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_row1(X0,X1,X3) | ~valid_square1(X0,X1,X3)) & is_index1(X3)) => ((~valid_column1(X0,X1,sK28(X0,X1)) | ~valid_row1(X0,X1,sK28(X0,X1)) | ~valid_square1(X0,X1,sK28(X0,X1))) & is_index1(sK28(X0,X1))))),
25.96/26.21	  introduced(choice_axiom,[])).
25.96/26.21	tff(f216,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_row1(X0,X1,X2) & valid_square1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ((~valid_column1(X0,X1,sK28(X0,X1)) | ~valid_row1(X0,X1,sK28(X0,X1)) | ~valid_square1(X0,X1,sK28(X0,X1))) & is_index1(sK28(X0,X1)))))),
25.96/26.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f214,f215])).
25.96/26.21	tff(f217,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) & (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)))),
25.96/26.21	  inference(nnf_transformation,[],[f109])).
25.96/26.21	tff(f218,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))) & (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)))),
25.96/26.21	  inference(nnf_transformation,[],[f110])).
25.96/26.21	tff(f219,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))) & (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)))),
25.96/26.21	  inference(nnf_transformation,[],[f111])).
25.96/26.21	tff(f220,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_up_to1(X0,X1,X2) | ? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_square1(X0,X1,X3) | ~valid_row1(X0,X1,X3)) & $less(X3,X2) & ~$less(X3,0))) & (! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_square1(X0,X1,X3) & valid_row1(X0,X1,X3)) | ~$less(X3,X2) | $less(X3,0)) | ~valid_up_to1(X0,X1,X2)))),
25.96/26.21	  inference(nnf_transformation,[],[f153])).
25.96/26.21	tff(f221,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_up_to1(X0,X1,X2) | ? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_square1(X0,X1,X3) | ~valid_row1(X0,X1,X3)) & $less(X3,X2) & ~$less(X3,0))) & (! [X4 : $int] : ((valid_column1(X0,X1,X4) & valid_square1(X0,X1,X4) & valid_row1(X0,X1,X4)) | ~$less(X4,X2) | $less(X4,0)) | ~valid_up_to1(X0,X1,X2)))),
25.96/26.21	  inference(rectify,[],[f220])).
25.96/26.21	tff(f222,plain,(
25.96/26.21	  ! [X2 : $int,X1 : map_int_int,X0 : sudoku_chunks1] : (? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_square1(X0,X1,X3) | ~valid_row1(X0,X1,X3)) & $less(X3,X2) & ~$less(X3,0)) => ((~valid_column1(X0,X1,sK29(X0,X1,X2)) | ~valid_square1(X0,X1,sK29(X0,X1,X2)) | ~valid_row1(X0,X1,sK29(X0,X1,X2))) & $less(sK29(X0,X1,X2),X2) & ~$less(sK29(X0,X1,X2),0)))),
25.96/26.21	  introduced(choice_axiom,[])).
25.96/26.21	tff(f223,plain,(
25.96/26.21	  ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_up_to1(X0,X1,X2) | ((~valid_column1(X0,X1,sK29(X0,X1,X2)) | ~valid_square1(X0,X1,sK29(X0,X1,X2)) | ~valid_row1(X0,X1,sK29(X0,X1,X2))) & $less(sK29(X0,X1,X2),X2) & ~$less(sK29(X0,X1,X2),0))) & (! [X4 : $int] : ((valid_column1(X0,X1,X4) & valid_square1(X0,X1,X4) & valid_row1(X0,X1,X4)) | ~$less(X4,X2) | $less(X4,0)) | ~valid_up_to1(X0,X1,X2)))),
25.96/26.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f221,f222])).
25.96/26.21	tff(f230,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(X4,0) | ~$less(X4,9) | ~$less(X5,9) | X4 = X5 | $less(X5,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | ? [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(X4,0) & $less(X4,9) & $less(X5,9) & X4 != X5 & ~$less(X5,0))))),
25.96/26.21	  inference(nnf_transformation,[],[f160])).
25.96/26.21	tff(f231,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(X4,0) | ~$less(X4,9) | ~$less(X5,9) | X4 = X5 | $less(X5,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | ? [X6 : $int,X7 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(X6,0) & $less(X6,9) & $less(X7,9) & X6 != X7 & ~$less(X7,0))))),
25.96/26.21	  inference(rectify,[],[f230])).
25.96/26.21	tff(f232,plain,(
25.96/26.21	  ! [X3 : array_int,X2 : array_int,X1 : $int,X0 : map_int_int] : (? [X6 : $int,X7 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(X6,0) & $less(X6,9) & $less(X7,9) & X6 != X7 & ~$less(X7,0)) => (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3)))))))) & ~$less(sK31(X0,X1,X2,X3),0) & $less(sK31(X0,X1,X2,X3),9) & $less(sK32(X0,X1,X2,X3),9) & sK31(X0,X1,X2,X3) != sK32(X0,X1,X2,X3) & ~$less(sK32(X0,X1,X2,X3),0)))),
25.96/26.21	  introduced(choice_axiom,[])).
25.96/26.21	tff(f233,plain,(
25.96/26.21	  ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(X4,0) | ~$less(X4,9) | ~$less(X5,9) | X4 = X5 | $less(X5,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3)))))))) & ~$less(sK31(X0,X1,X2,X3),0) & $less(sK31(X0,X1,X2,X3),9) & $less(sK32(X0,X1,X2,X3),9) & sK31(X0,X1,X2,X3) != sK32(X0,X1,X2,X3) & ~$less(sK32(X0,X1,X2,X3),0))))),
25.96/26.21	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f231,f232])).
25.96/26.21	tff(f238,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:map_int_int,X11:$int,X9:$int] : (~$less(80,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) )),
25.96/26.21	  inference(cnf_transformation,[],[f178])).
25.96/26.21	tff(f239,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:map_int_int,X11:$int,X9:$int] : (~$less(sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),0) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) )),
25.96/26.21	  inference(cnf_transformation,[],[f178])).
25.96/26.21	tff(f240,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:map_int_int,X11:$int,X9:$int] : (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X1,t2tb(X2))),tb2t2(mk_array1(int,X3,t2tb(X4))),tb2t2(mk_array1(int,X5,t2tb(X6))),tb2t2(mk_array1(int,X7,t2tb(X8))),tb2t2(mk_array1(int,X9,t2tb(X10))),tb2t2(mk_array1(int,X11,t2tb(X12)))),X13,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) )),
25.96/26.21	  inference(cnf_transformation,[],[f178])).
25.96/26.21	tff(f241,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:map_int_int,X11:$int,X9:$int] : (sP1(X13,X12,X11,X10,X9,X8,X7,X6,X5,X4,X3,X2,X1,sK5(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),X0) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)) )),
25.96/26.21	  inference(cnf_transformation,[],[f178])).
25.96/26.21	tff(f243,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X14:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X14) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | 81 != X14 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f180])).
25.96/26.21	tff(f244,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X14:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | 81 != X14 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f180])).
25.96/26.21	tff(f245,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X14:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f180])).
25.96/26.21	tff(f246,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X14:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X14) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | 81 != X14 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f180])).
25.96/26.21	tff(f247,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X14:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | 81 != X14 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != X14 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f180])).
25.96/26.21	tff(f248,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:map_int_int,X14:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:$int,X11:$int,X9:$int] : (valid_chunk1(X0,X1,tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6)))) | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f182])).
25.96/26.21	tff(f250,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:map_int_int,X14:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:$int,X11:$int,X9:$int] : (~valid_values1(X0) | ~is_index1(X1) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0) | 81 != X14 | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f182])).
25.96/26.21	tff(f251,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:map_int_int,X14:$int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:$int,X11:$int,X9:$int] : (~valid_values1(X0) | ~is_index1(X1) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0,$sum(X1,1)) | ~valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | 81 != X14 | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)) )),
25.96/26.21	  inference(cnf_transformation,[],[f182])).
25.96/26.21	tff(f253,plain,(
25.96/26.21	  ~$less(sK6,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f254,plain,(
25.96/26.21	  ~$less(sK10,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f255,plain,(
25.96/26.21	  ~$less(sK14,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f256,plain,(
25.96/26.21	  81 = sK18),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f257,plain,(
25.96/26.21	  valid_values1(sK19)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f258,plain,(
25.96/26.21	  well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f260,plain,(
25.96/26.21	  ~$less(sK16,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f261,plain,(
25.96/26.21	  ~$less(sK12,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f262,plain,(
25.96/26.21	  ~$less(sK8,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f265,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)) | $less(80,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f266,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f267,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | $less(80,0)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f268,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(sK18,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(cnf_transformation,[],[f184])).
25.96/26.21	tff(f274,plain,(
25.96/26.21	  ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )),
25.96/26.21	  inference(cnf_transformation,[],[f80])).
25.96/26.21	tff(f287,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f288,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f289,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f290,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f291,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f292,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f190])).
25.96/26.21	tff(f294,plain,(
25.96/26.21	  ( ! [X0:$int] : (is_index1(X0) | ~$less(X0,81) | $less(X0,0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f192])).
25.96/26.21	tff(f295,plain,(
25.96/26.21	  ( ! [X0:$int] : (~$less(X0,0) | ~is_index1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f192])).
25.96/26.21	tff(f296,plain,(
25.96/26.21	  ( ! [X0:$int] : ($less(X0,81) | ~is_index1(X0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f192])).
25.96/26.21	tff(f329,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | is_index1(sK28(X0,X1))) )),
25.96/26.21	  inference(cnf_transformation,[],[f216])).
25.96/26.21	tff(f330,plain,(
25.96/26.21	  ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | ~valid_column1(X0,X1,sK28(X0,X1)) | ~valid_row1(X0,X1,sK28(X0,X1)) | ~valid_square1(X0,X1,sK28(X0,X1))) )),
25.96/26.21	  inference(cnf_transformation,[],[f216])).
25.96/26.21	tff(f331,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )),
25.96/26.21	  inference(cnf_transformation,[],[f216])).
25.96/26.21	tff(f332,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )),
25.96/26.21	  inference(cnf_transformation,[],[f216])).
25.96/26.21	tff(f333,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )),
25.96/26.21	  inference(cnf_transformation,[],[f216])).
25.96/26.21	tff(f340,plain,(
25.96/26.21	  ( ! [X2:$int,X0:ty,X1:uni] : (get(X0,int,elts(X0,X1),t2tb1(X2)) = get2(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f103])).
25.96/26.21	tff(f346,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f217])).
25.96/26.21	tff(f347,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) )),
25.96/26.21	  inference(cnf_transformation,[],[f217])).
25.96/26.21	tff(f348,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f218])).
25.96/26.21	tff(f349,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))) )),
25.96/26.21	  inference(cnf_transformation,[],[f218])).
25.96/26.21	tff(f350,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f219])).
25.96/26.21	tff(f351,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))) )),
25.96/26.21	  inference(cnf_transformation,[],[f219])).
25.96/26.21	tff(f352,plain,(
25.96/26.21	  ( ! [X4:$int,X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X4) | ~$less(X4,X2) | $less(X4,0) | ~valid_up_to1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f353,plain,(
25.96/26.21	  ( ! [X4:$int,X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X4) | ~$less(X4,X2) | $less(X4,0) | ~valid_up_to1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f354,plain,(
25.96/26.21	  ( ! [X4:$int,X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X4) | ~$less(X4,X2) | $less(X4,0) | ~valid_up_to1(X0,X1,X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f355,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~$less(sK29(X0,X1,X2),0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f356,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | $less(sK29(X0,X1,X2),X2)) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f357,plain,(
25.96/26.21	  ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~valid_column1(X0,X1,sK29(X0,X1,X2)) | ~valid_square1(X0,X1,sK29(X0,X1,X2)) | ~valid_row1(X0,X1,sK29(X0,X1,X2))) )),
25.96/26.21	  inference(cnf_transformation,[],[f223])).
25.96/26.21	tff(f372,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK32(X0,X1,X2,X3),0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f373,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | sK31(X0,X1,X2,X3) != sK32(X0,X1,X2,X3)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f374,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK32(X0,X1,X2,X3),9)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f375,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK31(X0,X1,X2,X3),9)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f376,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK31(X0,X1,X2,X3),0)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f377,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))))) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f378,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3))))))),1)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f379,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))))) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f380,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))),1)) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f381,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK31(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK32(X0,X1,X2,X3)))))))) )),
25.96/26.21	  inference(cnf_transformation,[],[f233])).
25.96/26.21	tff(f396,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5) )),
25.96/26.21	  inference(cnf_transformation,[],[f125])).
25.96/26.21	tff(f397,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3) )),
25.96/26.21	  inference(cnf_transformation,[],[f126])).
25.96/26.21	tff(f398,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X2) )),
25.96/26.21	  inference(cnf_transformation,[],[f127])).
25.96/26.21	tff(f399,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X4) )),
25.96/26.21	  inference(cnf_transformation,[],[f128])).
25.96/26.21	tff(f400,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X0) )),
25.96/26.21	  inference(cnf_transformation,[],[f129])).
25.96/26.21	tff(f401,plain,(
25.96/26.21	  ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1) )),
25.96/26.21	  inference(cnf_transformation,[],[f130])).
25.96/26.21	tff(f403,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(definition_unfolding,[],[f268,f256])).
25.96/26.21	tff(f404,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | $less(80,0)),
25.96/26.21	  inference(definition_unfolding,[],[f267,f256])).
25.96/26.21	tff(f405,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(definition_unfolding,[],[f266,f256])).
25.96/26.21	tff(f406,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(80,1)) | $less(80,0)),
25.96/26.21	  inference(definition_unfolding,[],[f265,f256])).
25.96/26.21	tff(f417,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK31(X0,X1,X2,X3)))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK32(X0,X1,X2,X3))))))))) )),
25.96/26.21	  inference(definition_unfolding,[],[f381,f340,f340,f340,f340])).
25.96/26.21	tff(f418,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK31(X0,X1,X2,X3)))))))),1)) )),
25.96/26.21	  inference(definition_unfolding,[],[f380,f340,f340])).
25.96/26.21	tff(f419,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK31(X0,X1,X2,X3)))))))))) )),
25.96/26.21	  inference(definition_unfolding,[],[f379,f340,f340])).
25.96/26.21	tff(f420,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK32(X0,X1,X2,X3)))))))),1)) )),
25.96/26.21	  inference(definition_unfolding,[],[f378,f340,f340])).
25.96/26.21	tff(f421,plain,(
25.96/26.21	  ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(X1))),tb2t1(get(int,int,elts(int,t2tb2(X3)),t2tb1(sK32(X0,X1,X2,X3)))))))))) )),
25.96/26.21	  inference(definition_unfolding,[],[f377,f340,f340])).
25.96/26.21	tff(f428,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f247])).
25.96/26.21	tff(f429,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f246])).
25.96/26.21	tff(f430,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f245])).
25.96/26.21	tff(f431,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f244])).
25.96/26.21	tff(f432,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~valid_values1(X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~is_index1(X13) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f243])).
25.96/26.21	tff(f435,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:map_int_int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:$int,X11:$int,X9:$int] : (~valid_values1(X0) | ~is_index1(X1) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0,$sum(X1,1)) | ~valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f251])).
25.96/26.21	tff(f436,plain,(
25.96/26.21	  ( ! [X6:map_int_int,X4:map_int_int,X2:map_int_int,X0:map_int_int,X12:map_int_int,X10:map_int_int,X8:map_int_int,X7:$int,X5:$int,X3:$int,X1:$int,X13:$int,X11:$int,X9:$int] : (~valid_values1(X0) | ~is_index1(X1) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | valid_chunk1(X0,X1,tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X13,t2tb(X12))),tb2t2(mk_array1(int,X11,t2tb(X10))),tb2t2(mk_array1(int,X9,t2tb(X8))),tb2t2(mk_array1(int,X7,t2tb(X6))),tb2t2(mk_array1(int,X5,t2tb(X4))),tb2t2(mk_array1(int,X3,t2tb(X2)))),X0) | ~sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(equality_resolution,[],[f250])).
25.96/26.21	tff(f440,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(duplicate_literal_removal,[],[f428])).
25.96/26.21	tff(f441,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(trivial_inequality_removal,[],[f440])).
25.96/26.21	tff(f442,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(duplicate_literal_removal,[],[f429])).
25.96/26.21	tff(f443,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(trivial_inequality_removal,[],[f442])).
25.96/26.21	tff(f444,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(duplicate_literal_removal,[],[f431])).
25.96/26.21	tff(f445,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9))),tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5))),tb2t2(mk_array1(int,X4,t2tb(X3))),tb2t2(mk_array1(int,X2,t2tb(X1)))),X0) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(trivial_inequality_removal,[],[f444])).
25.96/26.21	tff(f446,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | 81 != 81 | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(duplicate_literal_removal,[],[f432])).
25.96/26.21	tff(f447,plain,(
25.96/26.21	  ( ! [X6:$int,X4:$int,X2:$int,X0:map_int_int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:$int,X11:map_int_int,X9:map_int_int] : (~valid_values1(X0) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | sP0(X0,X13,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,81) | ~valid_chunk1(X0,X13,tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X7))),tb2t2(mk_array1(int,X6,t2tb(X5)))) | ~is_index1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X12,t2tb(X11))),tb2t2(mk_array1(int,X10,t2tb(X9)))) | ~sP1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,81)) )),
25.96/26.21	  inference(trivial_inequality_removal,[],[f446])).
25.96/26.21	tff(f448,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)),
25.96/26.21	  inference(evaluation,[],[f406])).
25.96/26.21	tff(f449,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(evaluation,[],[f405])).
25.96/26.21	tff(f450,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(evaluation,[],[f404])).
25.96/26.21	tff(f451,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  inference(duplicate_literal_removal,[],[f403])).
25.96/26.21	tff(f453,plain,(
25.96/26.21	  spl35_0 <=> valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_0])])).
25.96/26.21	tff(f454,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~spl35_0),
25.96/26.21	  inference(AVATAR_component_clause,[],[f453])).
25.96/26.21	tff(f456,plain,(
25.96/26.21	  spl35_1 <=> ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_1])])).
25.96/26.21	tff(f457,plain,(
25.96/26.21	  ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~spl35_1),
25.96/26.21	  inference(AVATAR_component_clause,[],[f456])).
25.96/26.21	tff(f462,plain,(
25.96/26.21	  spl35_2 <=> sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_2])])).
25.96/26.21	tff(f463,plain,(
25.96/26.21	  sP2(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19) | ~spl35_2),
25.96/26.21	  inference(AVATAR_component_clause,[],[f462])).
25.96/26.21	tff(f468,plain,(
25.96/26.21	  spl35_5 <=> ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_5])])).
25.96/26.21	tff(f469,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0) | ~spl35_5),
25.96/26.21	  inference(AVATAR_component_clause,[],[f468])).
25.96/26.21	tff(f470,plain,(
25.96/26.21	  ~spl35_1 | spl35_2 | ~spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f451,f468,f462,f456])).
25.96/26.21	tff(f471,plain,(
25.96/26.21	  ~spl35_1 | spl35_2 | ~spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f450,f468,f462,f456])).
25.96/26.21	tff(f473,plain,(
25.96/26.21	  spl35_7 <=> ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_7])])).
25.96/26.21	tff(f474,plain,(
25.96/26.21	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81) | ~spl35_7),
25.96/26.21	  inference(AVATAR_component_clause,[],[f473])).
25.96/26.21	tff(f476,plain,(
25.96/26.21	  spl35_6 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_6])])).
25.96/26.21	tff(f477,plain,(
25.96/26.21	  valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81) | ~spl35_6),
25.96/26.21	  inference(AVATAR_component_clause,[],[f476])).
25.96/26.21	tff(f478,plain,(
25.96/26.21	  ~spl35_1 | spl35_6 | spl35_2 | ~spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f449,f468,f462,f476,f456])).
25.96/26.21	tff(f479,plain,(
25.96/26.21	  spl35_6 | spl35_2 | ~spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f448,f468,f462,f476])).
25.96/26.21	tff(f484,plain,(
25.96/26.21	  spl35_9 <=> ~$less(sK8,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_9])])).
25.96/26.21	tff(f486,plain,(
25.96/26.21	  ~spl35_9),
25.96/26.21	  inference(AVATAR_split_clause,[],[f262,f484])).
25.96/26.21	tff(f491,plain,(
25.96/26.21	  spl35_11 <=> ~$less(sK12,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_11])])).
25.96/26.21	tff(f493,plain,(
25.96/26.21	  ~spl35_11),
25.96/26.21	  inference(AVATAR_split_clause,[],[f261,f491])).
25.96/26.21	tff(f498,plain,(
25.96/26.21	  spl35_13 <=> ~$less(sK16,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_13])])).
25.96/26.21	tff(f500,plain,(
25.96/26.21	  ~spl35_13),
25.96/26.21	  inference(AVATAR_split_clause,[],[f260,f498])).
25.96/26.21	tff(f505,plain,(
25.96/26.21	  spl35_14 <=> well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_14])])).
25.96/26.21	tff(f506,plain,(
25.96/26.21	  well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))) | ~spl35_14),
25.96/26.21	  inference(AVATAR_component_clause,[],[f505])).
25.96/26.21	tff(f507,plain,(
25.96/26.21	  spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f258,f505])).
25.96/26.21	tff(f512,plain,(
25.96/26.21	  spl35_16 <=> valid_values1(sK19)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_16])])).
25.96/26.21	tff(f513,plain,(
25.96/26.21	  valid_values1(sK19) | ~spl35_16),
25.96/26.21	  inference(AVATAR_component_clause,[],[f512])).
25.96/26.21	tff(f514,plain,(
25.96/26.21	  spl35_16),
25.96/26.21	  inference(AVATAR_split_clause,[],[f257,f512])).
25.96/26.21	tff(f519,plain,(
25.96/26.21	  spl35_19 <=> ~$less(sK14,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_19])])).
25.96/26.21	tff(f521,plain,(
25.96/26.21	  ~spl35_19),
25.96/26.21	  inference(AVATAR_split_clause,[],[f255,f519])).
25.96/26.21	tff(f526,plain,(
25.96/26.21	  spl35_21 <=> ~$less(sK10,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_21])])).
25.96/26.21	tff(f528,plain,(
25.96/26.21	  ~spl35_21),
25.96/26.21	  inference(AVATAR_split_clause,[],[f254,f526])).
25.96/26.21	tff(f533,plain,(
25.96/26.21	  spl35_23 <=> ~$less(sK6,0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_23])])).
25.96/26.21	tff(f535,plain,(
25.96/26.21	  ~spl35_23),
25.96/26.21	  inference(AVATAR_split_clause,[],[f253,f533])).
25.96/26.21	tff(f712,plain,(
25.96/26.21	  chunk_valid_indexes1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f287])).
25.96/26.21	tff(f713,plain,(
25.96/26.21	  disjoint_chunks1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f288])).
25.96/26.21	tff(f714,plain,(
25.96/26.21	  disjoint_chunks1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f289])).
25.96/26.21	tff(f715,plain,(
25.96/26.21	  disjoint_chunks1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f290])).
25.96/26.21	tff(f716,plain,(
25.96/26.21	  chunk_valid_indexes1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f291])).
25.96/26.21	tff(f717,plain,(
25.96/26.21	  chunk_valid_indexes1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_14),
25.96/26.21	  inference(resolution,[],[f506,f292])).
25.96/26.21	tff(f719,plain,(
25.96/26.21	  chunk_valid_indexes1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f712,f401])).
25.96/26.21	tff(f720,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f719,f400])).
25.96/26.21	tff(f725,plain,(
25.96/26.21	  spl35_24 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_24])])).
25.96/26.21	tff(f726,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_24),
25.96/26.21	  inference(AVATAR_component_clause,[],[f725])).
25.96/26.21	tff(f727,plain,(
25.96/26.21	  spl35_24 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f720,f505,f725])).
25.96/26.21	tff(f728,plain,(
25.96/26.21	  disjoint_chunks1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f713,f401])).
25.96/26.21	tff(f729,plain,(
25.96/26.21	  disjoint_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f728,f400])).
25.96/26.21	tff(f734,plain,(
25.96/26.21	  spl35_26 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_26])])).
25.96/26.21	tff(f736,plain,(
25.96/26.21	  spl35_26 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f729,f505,f734])).
25.96/26.21	tff(f737,plain,(
25.96/26.21	  disjoint_chunks1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f714,f396])).
25.96/26.21	tff(f738,plain,(
25.96/26.21	  disjoint_chunks1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f737,f399])).
25.96/26.21	tff(f743,plain,(
25.96/26.21	  spl35_28 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_28])])).
25.96/26.21	tff(f745,plain,(
25.96/26.21	  spl35_28 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f738,f505,f743])).
25.96/26.21	tff(f746,plain,(
25.96/26.21	  disjoint_chunks1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f715,f397])).
25.96/26.21	tff(f747,plain,(
25.96/26.21	  disjoint_chunks1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f746,f398])).
25.96/26.21	tff(f752,plain,(
25.96/26.21	  spl35_30 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_30])])).
25.96/26.21	tff(f754,plain,(
25.96/26.21	  spl35_30 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f747,f505,f752])).
25.96/26.21	tff(f755,plain,(
25.96/26.21	  chunk_valid_indexes1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f716,f396])).
25.96/26.21	tff(f756,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f755,f399])).
25.96/26.21	tff(f761,plain,(
25.96/26.21	  spl35_32 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_32])])).
25.96/26.21	tff(f762,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_32),
25.96/26.21	  inference(AVATAR_component_clause,[],[f761])).
25.96/26.21	tff(f763,plain,(
25.96/26.21	  spl35_32 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f756,f505,f761])).
25.96/26.21	tff(f764,plain,(
25.96/26.21	  chunk_valid_indexes1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f717,f397])).
25.96/26.21	tff(f765,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_14),
25.96/26.21	  inference(forward_demodulation,[],[f764,f398])).
25.96/26.21	tff(f770,plain,(
25.96/26.21	  spl35_34 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_34])])).
25.96/26.21	tff(f771,plain,(
25.96/26.21	  chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_34),
25.96/26.21	  inference(AVATAR_component_clause,[],[f770])).
25.96/26.21	tff(f772,plain,(
25.96/26.21	  spl35_34 | ~spl35_14),
25.96/26.21	  inference(AVATAR_split_clause,[],[f765,f505,f770])).
25.96/26.21	tff(f790,plain,(
25.96/26.21	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0),0) | ~spl35_5),
25.96/26.21	  inference(resolution,[],[f469,f355])).
25.96/26.21	tff(f791,plain,(
25.96/26.21	  $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0),0) | ~spl35_5),
25.96/26.21	  inference(resolution,[],[f469,f356])).
25.96/26.21	tff(f792,plain,(
25.96/26.21	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0)) | ~spl35_5),
25.96/26.21	  inference(resolution,[],[f469,f357])).
25.96/26.21	tff(f794,plain,(
25.96/26.21	  spl35_36 <=> $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_36])])).
25.96/26.21	tff(f797,plain,(
25.96/26.21	  spl35_37 <=> ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_37])])).
25.96/26.21	tff(f799,plain,(
25.96/26.21	  ~spl35_37 | spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f790,f468,f797])).
25.96/26.21	tff(f800,plain,(
25.96/26.21	  spl35_36 | spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f791,f468,f794])).
25.96/26.21	tff(f805,plain,(
25.96/26.21	  spl35_39 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_39])])).
25.96/26.21	tff(f811,plain,(
25.96/26.21	  spl35_41 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_41])])).
25.96/26.21	tff(f817,plain,(
25.96/26.21	  spl35_43 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,0))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_43])])).
25.96/26.21	tff(f819,plain,(
25.96/26.21	  ~spl35_39 | ~spl35_41 | ~spl35_43 | spl35_5),
25.96/26.21	  inference(AVATAR_split_clause,[],[f792,f468,f817,f811,f805])).
25.96/26.21	tff(f856,plain,(
25.96/26.21	  is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f329])).
25.96/26.21	tff(f857,plain,(
25.96/26.21	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f330])).
25.96/26.21	tff(f859,plain,(
25.96/26.21	  spl35_45 <=> ~is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_45])])).
25.96/26.21	tff(f860,plain,(
25.96/26.21	  ~is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_45),
25.96/26.21	  inference(AVATAR_component_clause,[],[f859])).
25.96/26.21	tff(f862,plain,(
25.96/26.21	  spl35_44 <=> is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_44])])).
25.96/26.21	tff(f863,plain,(
25.96/26.21	  is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_44),
25.96/26.21	  inference(AVATAR_component_clause,[],[f862])).
25.96/26.21	tff(f864,plain,(
25.96/26.21	  spl35_44 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f856,f456,f862])).
25.96/26.21	tff(f866,plain,(
25.96/26.21	  spl35_46 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_46])])).
25.96/26.21	tff(f867,plain,(
25.96/26.21	  valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_46),
25.96/26.21	  inference(AVATAR_component_clause,[],[f866])).
25.96/26.21	tff(f869,plain,(
25.96/26.21	  spl35_47 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_47])])).
25.96/26.21	tff(f870,plain,(
25.96/26.21	  ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_47),
25.96/26.21	  inference(AVATAR_component_clause,[],[f869])).
25.96/26.21	tff(f875,plain,(
25.96/26.21	  spl35_49 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_49])])).
25.96/26.21	tff(f876,plain,(
25.96/26.21	  ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_49),
25.96/26.21	  inference(AVATAR_component_clause,[],[f875])).
25.96/26.21	tff(f878,plain,(
25.96/26.21	  spl35_50 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_50])])).
25.96/26.21	tff(f879,plain,(
25.96/26.21	  valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_50),
25.96/26.21	  inference(AVATAR_component_clause,[],[f878])).
25.96/26.21	tff(f881,plain,(
25.96/26.21	  spl35_51 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_51])])).
25.96/26.21	tff(f882,plain,(
25.96/26.21	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_51),
25.96/26.21	  inference(AVATAR_component_clause,[],[f881])).
25.96/26.21	tff(f883,plain,(
25.96/26.21	  ~spl35_47 | ~spl35_49 | ~spl35_51 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f857,f456,f881,f875,f869])).
25.96/26.21	tff(f884,plain,(
25.96/26.21	  ~$less(80,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f238])).
25.96/26.21	tff(f885,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f239])).
25.96/26.21	tff(f886,plain,(
25.96/26.21	  valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f240])).
25.96/26.21	tff(f887,plain,(
25.96/26.21	  sP1(sK19,sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f241])).
25.96/26.21	tff(f892,plain,(
25.96/26.21	  spl35_53 <=> ~$less(80,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_53])])).
25.96/26.21	tff(f894,plain,(
25.96/26.21	  ~spl35_53 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f884,f462,f892])).
25.96/26.21	tff(f896,plain,(
25.96/26.21	  spl35_54 <=> $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_54])])).
25.96/26.21	tff(f899,plain,(
25.96/26.21	  spl35_55 <=> ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_55])])).
25.96/26.21	tff(f900,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_55),
25.96/26.21	  inference(AVATAR_component_clause,[],[f899])).
25.96/26.21	tff(f901,plain,(
25.96/26.21	  ~spl35_55 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f885,f462,f899])).
25.96/26.21	tff(f906,plain,(
25.96/26.21	  spl35_56 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_56])])).
25.96/26.21	tff(f907,plain,(
25.96/26.21	  valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_56),
25.96/26.21	  inference(AVATAR_component_clause,[],[f906])).
25.96/26.21	tff(f908,plain,(
25.96/26.21	  spl35_56 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f886,f462,f906])).
25.96/26.21	tff(f913,plain,(
25.96/26.21	  spl35_58 <=> sP1(sK19,sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_58])])).
25.96/26.21	tff(f914,plain,(
25.96/26.21	  sP1(sK19,sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_58),
25.96/26.21	  inference(AVATAR_component_clause,[],[f913])).
25.96/26.21	tff(f915,plain,(
25.96/26.21	  spl35_58 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f887,f462,f913])).
25.96/26.21	tff(f924,plain,(
25.96/26.21	  is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f329])).
25.96/26.21	tff(f925,plain,(
25.96/26.21	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f330])).
25.96/26.21	tff(f926,plain,(
25.96/26.21	  spl35_44 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f924,f456,f862])).
25.96/26.21	tff(f927,plain,(
25.96/26.21	  ~spl35_47 | ~spl35_49 | ~spl35_51 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f925,f456,f881,f875,f869])).
25.96/26.21	tff(f933,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | ~spl35_44),
25.96/26.21	  inference(resolution,[],[f863,f295])).
25.96/26.21	tff(f934,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | ~spl35_44),
25.96/26.21	  inference(resolution,[],[f863,f296])).
25.96/26.21	tff(f953,plain,(
25.96/26.21	  spl35_60 <=> $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_60])])).
25.96/26.21	tff(f956,plain,(
25.96/26.21	  spl35_61 <=> ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_61])])).
25.96/26.21	tff(f957,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | ~spl35_61),
25.96/26.21	  inference(AVATAR_component_clause,[],[f956])).
25.96/26.21	tff(f958,plain,(
25.96/26.21	  ~spl35_61 | ~spl35_44),
25.96/26.21	  inference(AVATAR_split_clause,[],[f933,f862,f956])).
25.96/26.21	tff(f963,plain,(
25.96/26.21	  spl35_62 <=> $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_62])])).
25.96/26.21	tff(f964,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | ~spl35_62),
25.96/26.21	  inference(AVATAR_component_clause,[],[f963])).
25.96/26.21	tff(f965,plain,(
25.96/26.21	  spl35_62 | ~spl35_44),
25.96/26.21	  inference(AVATAR_split_clause,[],[f934,f862,f963])).
25.96/26.21	tff(f966,plain,(
25.96/26.21	  ~$less(80,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f238])).
25.96/26.21	tff(f967,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f239])).
25.96/26.21	tff(f968,plain,(
25.96/26.21	  valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f240])).
25.96/26.21	tff(f969,plain,(
25.96/26.21	  sP1(sK19,sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f241])).
25.96/26.21	tff(f970,plain,(
25.96/26.21	  ~spl35_53 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f966,f462,f892])).
25.96/26.21	tff(f971,plain,(
25.96/26.21	  ~spl35_55 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f967,f462,f899])).
25.96/26.21	tff(f972,plain,(
25.96/26.21	  spl35_56 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f968,f462,f906])).
25.96/26.21	tff(f973,plain,(
25.96/26.21	  spl35_58 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f969,f462,f913])).
25.96/26.21	tff(f996,plain,(
25.96/26.21	  ~valid_values1(sK19) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.21	  inference(resolution,[],[f914,f447])).
25.96/26.21	tff(f997,plain,(
25.96/26.21	  ~valid_values1(sK19) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.21	  inference(resolution,[],[f914,f445])).
25.96/26.21	tff(f998,plain,(
25.96/26.21	  ~valid_values1(sK19) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_58),
25.96/26.21	  inference(resolution,[],[f914,f430])).
25.96/26.21	tff(f999,plain,(
25.96/26.21	  ~valid_values1(sK19) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.21	  inference(resolution,[],[f914,f443])).
25.96/26.21	tff(f1000,plain,(
25.96/26.21	  ~valid_values1(sK19) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.21	  inference(resolution,[],[f914,f441])).
25.96/26.21	tff(f1001,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f996,f513])).
25.96/26.21	tff(f1002,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1001,f771])).
25.96/26.21	tff(f1003,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1002,f726])).
25.96/26.21	tff(f1005,plain,(
25.96/26.21	  spl35_64 <=> is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_64])])).
25.96/26.21	tff(f1006,plain,(
25.96/26.21	  is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_64),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1005])).
25.96/26.21	tff(f1008,plain,(
25.96/26.21	  spl35_65 <=> ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_65])])).
25.96/26.21	tff(f1009,plain,(
25.96/26.21	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_65),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1008])).
25.96/26.21	tff(f1011,plain,(
25.96/26.21	  spl35_66 <=> valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_66])])).
25.96/26.21	tff(f1012,plain,(
25.96/26.21	  valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_66),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1011])).
25.96/26.21	tff(f1014,plain,(
25.96/26.21	  spl35_67 <=> ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_67])])).
25.96/26.21	tff(f1015,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_67),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1014])).
25.96/26.21	tff(f1020,plain,(
25.96/26.21	  spl35_68 <=> sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_68])])).
25.96/26.21	tff(f1021,plain,(
25.96/26.21	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~spl35_68),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1020])).
25.96/26.21	tff(f1023,plain,(
25.96/26.21	  spl35_70 <=> valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_70])])).
25.96/26.21	tff(f1024,plain,(
25.96/26.21	  valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_70),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1023])).
25.96/26.21	tff(f1026,plain,(
25.96/26.21	  spl35_71 <=> ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_71])])).
25.96/26.21	tff(f1027,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_71),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1026])).
25.96/26.21	tff(f1028,plain,(
25.96/26.21	  ~spl35_65 | ~spl35_67 | spl35_68 | ~spl35_71 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1003,f913,f770,f725,f512,f1026,f1020,f1014,f1008])).
25.96/26.21	tff(f1029,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_65),
25.96/26.21	  inference(resolution,[],[f1009,f294])).
25.96/26.21	tff(f1030,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | (~spl35_55 | ~spl35_65)),
25.96/26.21	  inference(subsumption_resolution,[],[f1029,f900])).
25.96/26.21	tff(f1032,plain,(
25.96/26.21	  spl35_72 <=> $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_72])])).
25.96/26.21	tff(f1033,plain,(
25.96/26.21	  $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_72),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1032])).
25.96/26.21	tff(f1035,plain,(
25.96/26.21	  spl35_73 <=> ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_73])])).
25.96/26.21	tff(f1037,plain,(
25.96/26.21	  ~spl35_73 | spl35_55 | spl35_65),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1030,f1008,f899,f1035])).
25.96/26.21	tff(f1038,plain,(
25.96/26.21	  spl35_54 | ~spl35_73 | spl35_65),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1029,f1008,f1035,f896])).
25.96/26.21	tff(f1055,plain,(
25.96/26.21	  is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f329])).
25.96/26.21	tff(f1056,plain,(
25.96/26.21	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.21	  inference(resolution,[],[f457,f330])).
25.96/26.21	tff(f1057,plain,(
25.96/26.21	  spl35_44 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1055,f456,f862])).
25.96/26.21	tff(f1058,plain,(
25.96/26.21	  ~spl35_47 | ~spl35_49 | ~spl35_51 | spl35_1),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1056,f456,f881,f875,f869])).
25.96/26.21	tff(f1061,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | ~spl35_44),
25.96/26.21	  inference(resolution,[],[f863,f295])).
25.96/26.21	tff(f1062,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | ~spl35_44),
25.96/26.21	  inference(resolution,[],[f863,f296])).
25.96/26.21	tff(f1080,plain,(
25.96/26.21	  ~spl35_61 | ~spl35_44),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1061,f862,f956])).
25.96/26.21	tff(f1081,plain,(
25.96/26.21	  spl35_62 | ~spl35_44),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1062,f862,f963])).
25.96/26.21	tff(f1097,plain,(
25.96/26.21	  ( ! [X0:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X0) | ~$less(X0,81) | $less(X0,0)) ) | ~spl35_6),
25.96/26.21	  inference(resolution,[],[f477,f352])).
25.96/26.21	tff(f1098,plain,(
25.96/26.21	  ( ! [X1:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X1) | ~$less(X1,81) | $less(X1,0)) ) | ~spl35_6),
25.96/26.21	  inference(resolution,[],[f477,f353])).
25.96/26.21	tff(f1099,plain,(
25.96/26.21	  ( ! [X2:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X2) | ~$less(X2,81) | $less(X2,0)) ) | ~spl35_6),
25.96/26.21	  inference(resolution,[],[f477,f354])).
25.96/26.21	tff(f1108,plain,(
25.96/26.21	  ( ! [X0:$int] : (~$less(X0,81) | $less(X0,0) | valid_chunk1(sK19,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))) ) | ~spl35_6),
25.96/26.21	  inference(resolution,[],[f1097,f350])).
25.96/26.21	tff(f1110,plain,(
25.96/26.21	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~$less(X0,81) | $less(X0,0)) ) | ~spl35_6),
25.96/26.21	  inference(forward_demodulation,[],[f1108,f397])).
25.96/26.21	tff(f1111,plain,(
25.96/26.21	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~$less(X0,81) | $less(X0,0)) ) | ~spl35_6),
25.96/26.21	  inference(forward_demodulation,[],[f1110,f398])).
25.96/26.21	tff(f1173,plain,(
25.96/26.21	  ( ! [X0:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X0) | ~$less(X0,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(X0,0)) ) | ~spl35_56),
25.96/26.21	  inference(resolution,[],[f907,f352])).
25.96/26.21	tff(f1174,plain,(
25.96/26.21	  ( ! [X1:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X1) | ~$less(X1,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(X1,0)) ) | ~spl35_56),
25.96/26.21	  inference(resolution,[],[f907,f353])).
25.96/26.21	tff(f1175,plain,(
25.96/26.21	  ( ! [X2:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X2) | ~$less(X2,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(X2,0)) ) | ~spl35_56),
25.96/26.21	  inference(resolution,[],[f907,f354])).
25.96/26.21	tff(f1181,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_51)),
25.96/26.21	  inference(resolution,[],[f882,f1099])).
25.96/26.21	tff(f1183,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_51),
25.96/26.21	  inference(resolution,[],[f882,f347])).
25.96/26.21	tff(f1185,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_51 | ~spl35_62)),
25.96/26.21	  inference(subsumption_resolution,[],[f1181,f964])).
25.96/26.21	tff(f1186,plain,(
25.96/26.21	  $false | (~spl35_6 | ~spl35_51 | ~spl35_61 | ~spl35_62)),
25.96/26.21	  inference(subsumption_resolution,[],[f1185,f957])).
25.96/26.21	tff(f1187,plain,(
25.96/26.21	  ~spl35_6 | spl35_51 | spl35_61 | ~spl35_62),
25.96/26.21	  inference(AVATAR_contradiction_clause,[],[f1186,f963,f956,f881,f476])).
25.96/26.21	tff(f1188,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_51),
25.96/26.21	  inference(forward_demodulation,[],[f1183,f401])).
25.96/26.21	tff(f1189,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_51),
25.96/26.21	  inference(forward_demodulation,[],[f1188,f400])).
25.96/26.21	tff(f1216,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_47 | ~spl35_56)),
25.96/26.21	  inference(resolution,[],[f870,f1174])).
25.96/26.21	tff(f1217,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_47)),
25.96/26.21	  inference(resolution,[],[f870,f1098])).
25.96/26.21	tff(f1219,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_47),
25.96/26.21	  inference(resolution,[],[f870,f349])).
25.96/26.21	tff(f1221,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_47 | ~spl35_56 | ~spl35_61)),
25.96/26.21	  inference(subsumption_resolution,[],[f1216,f957])).
25.96/26.21	tff(f1226,plain,(
25.96/26.21	  spl35_75 <=> ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_75])])).
25.96/26.21	tff(f1228,plain,(
25.96/26.21	  ~spl35_75 | spl35_47 | ~spl35_56 | spl35_61),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1221,f956,f906,f869,f1226])).
25.96/26.21	tff(f1229,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_47 | ~spl35_62)),
25.96/26.21	  inference(subsumption_resolution,[],[f1217,f964])).
25.96/26.21	tff(f1230,plain,(
25.96/26.21	  $false | (~spl35_6 | ~spl35_47 | ~spl35_61 | ~spl35_62)),
25.96/26.21	  inference(subsumption_resolution,[],[f1229,f957])).
25.96/26.21	tff(f1231,plain,(
25.96/26.21	  ~spl35_6 | spl35_47 | spl35_61 | ~spl35_62),
25.96/26.21	  inference(AVATAR_contradiction_clause,[],[f1230,f963,f956,f869,f476])).
25.96/26.21	tff(f1232,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_47),
25.96/26.21	  inference(forward_demodulation,[],[f1219,f396])).
25.96/26.21	tff(f1233,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_47),
25.96/26.21	  inference(forward_demodulation,[],[f1232,f399])).
25.96/26.21	tff(f1246,plain,(
25.96/26.21	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_46),
25.96/26.21	  inference(resolution,[],[f867,f348])).
25.96/26.21	tff(f1247,plain,(
25.96/26.21	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_46),
25.96/26.21	  inference(forward_demodulation,[],[f1246,f396])).
25.96/26.21	tff(f1248,plain,(
25.96/26.21	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_46),
25.96/26.21	  inference(forward_demodulation,[],[f1247,f399])).
25.96/26.21	tff(f1250,plain,(
25.96/26.21	  spl35_77 <=> ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_77])])).
25.96/26.21	tff(f1251,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_77),
25.96/26.21	  inference(AVATAR_component_clause,[],[f1250])).
25.96/26.21	tff(f1253,plain,(
25.96/26.21	  spl35_76 <=> valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_76])])).
25.96/26.21	tff(f1255,plain,(
25.96/26.21	  spl35_76 | ~spl35_46),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1248,f866,f1253])).
25.96/26.21	tff(f1256,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f997,f513])).
25.96/26.21	tff(f1257,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1256,f771])).
25.96/26.21	tff(f1258,plain,(
25.96/26.21	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1257,f726])).
25.96/26.21	tff(f1259,plain,(
25.96/26.21	  ~spl35_65 | spl35_0 | spl35_68 | ~spl35_71 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1258,f913,f770,f725,f512,f1026,f1020,f453,f1008])).
25.96/26.21	tff(f1260,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f998,f513])).
25.96/26.21	tff(f1261,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_24 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1260,f726])).
25.96/26.21	tff(f1262,plain,(
25.96/26.21	  ~spl35_65 | spl35_70 | spl35_0 | ~spl35_16 | ~spl35_24 | ~spl35_58),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1261,f913,f725,f512,f453,f1023,f1008])).
25.96/26.21	tff(f1263,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f999,f513])).
25.96/26.21	tff(f1264,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1263,f771])).
25.96/26.21	tff(f1265,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1264,f726])).
25.96/26.21	tff(f1266,plain,(
25.96/26.21	  ~spl35_65 | ~spl35_67 | spl35_68 | spl35_0 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1265,f913,f770,f725,f512,f453,f1020,f1014,f1008])).
25.96/26.21	tff(f1267,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1000,f513])).
25.96/26.21	tff(f1268,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1267,f771])).
25.96/26.21	tff(f1269,plain,(
25.96/26.21	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58)),
25.96/26.21	  inference(subsumption_resolution,[],[f1268,f726])).
25.96/26.21	tff(f1270,plain,(
25.96/26.21	  ~spl35_65 | spl35_68 | spl35_0 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1269,f913,f770,f725,f512,f453,f1020,f1008])).
25.96/26.21	tff(f1271,plain,(
25.96/26.21	  ~spl35_77 | spl35_47),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1233,f869,f1250])).
25.96/26.21	tff(f1272,plain,(
25.96/26.21	  ~$less(80,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f238])).
25.96/26.21	tff(f1273,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_2),
25.96/26.21	  inference(resolution,[],[f463,f239])).
25.96/26.21	tff(f1276,plain,(
25.96/26.21	  ~spl35_53 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1272,f462,f892])).
25.96/26.21	tff(f1277,plain,(
25.96/26.21	  ~spl35_55 | ~spl35_2),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1273,f462,f899])).
25.96/26.21	tff(f1280,plain,(
25.96/26.21	  ( ! [X2:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X2) | ~is_index1(X2)) ) | ~spl35_0),
25.96/26.21	  inference(resolution,[],[f454,f331])).
25.96/26.21	tff(f1281,plain,(
25.96/26.21	  ( ! [X3:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X3) | ~is_index1(X3)) ) | ~spl35_0),
25.96/26.21	  inference(resolution,[],[f454,f332])).
25.96/26.21	tff(f1282,plain,(
25.96/26.21	  ( ! [X4:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X4) | ~is_index1(X4)) ) | ~spl35_0),
25.96/26.21	  inference(resolution,[],[f454,f333])).
25.96/26.21	tff(f1285,plain,(
25.96/26.21	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_64),
25.96/26.21	  inference(resolution,[],[f1006,f295])).
25.96/26.21	tff(f1286,plain,(
25.96/26.21	  $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_64),
25.96/26.21	  inference(resolution,[],[f1006,f296])).
25.96/26.21	tff(f1304,plain,(
25.96/26.21	  ~spl35_55 | ~spl35_64),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1285,f1005,f899])).
25.96/26.21	tff(f1305,plain,(
25.96/26.21	  spl35_72 | ~spl35_64),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1286,f1005,f1032])).
25.96/26.21	tff(f1331,plain,(
25.96/26.21	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | ~spl35_45),
25.96/26.21	  inference(resolution,[],[f860,f294])).
25.96/26.21	tff(f1332,plain,(
25.96/26.21	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_45 | ~spl35_62)),
25.96/26.21	  inference(subsumption_resolution,[],[f1331,f964])).
25.96/26.21	tff(f1333,plain,(
25.96/26.21	  spl35_60 | spl35_45 | ~spl35_62),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1332,f963,f859,f953])).
25.96/26.21	tff(f1338,plain,(
25.96/26.21	  ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f372])).
25.96/26.21	tff(f1339,plain,(
25.96/26.21	  sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f373])).
25.96/26.21	tff(f1340,plain,(
25.96/26.21	  $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f374])).
25.96/26.21	tff(f1341,plain,(
25.96/26.21	  $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f375])).
25.96/26.21	tff(f1342,plain,(
25.96/26.21	  ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f376])).
25.96/26.21	tff(f1343,plain,(
25.96/26.21	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f417])).
25.96/26.21	tff(f1344,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f418])).
25.96/26.21	tff(f1345,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f419])).
25.96/26.21	tff(f1346,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f420])).
25.96/26.21	tff(f1347,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(resolution,[],[f1015,f421])).
25.96/26.21	tff(f1352,plain,(
25.96/26.21	  spl35_79 <=> ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_79])])).
25.96/26.21	tff(f1354,plain,(
25.96/26.21	  ~spl35_79 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1338,f1014,f1352])).
25.96/26.21	tff(f1359,plain,(
25.96/26.21	  spl35_81 <=> sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_81])])).
25.96/26.21	tff(f1361,plain,(
25.96/26.21	  ~spl35_81 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1339,f1014,f1359])).
25.96/26.21	tff(f1366,plain,(
25.96/26.21	  spl35_82 <=> $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_82])])).
25.96/26.21	tff(f1368,plain,(
25.96/26.21	  spl35_82 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1340,f1014,f1366])).
25.96/26.21	tff(f1373,plain,(
25.96/26.21	  spl35_84 <=> $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_84])])).
25.96/26.21	tff(f1375,plain,(
25.96/26.21	  spl35_84 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1341,f1014,f1373])).
25.96/26.21	tff(f1380,plain,(
25.96/26.21	  spl35_87 <=> ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_87])])).
25.96/26.21	tff(f1382,plain,(
25.96/26.21	  ~spl35_87 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1342,f1014,f1380])).
25.96/26.21	tff(f1383,plain,(
25.96/26.21	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1343,f274])).
25.96/26.21	tff(f1384,plain,(
25.96/26.21	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1383,f274])).
25.96/26.21	tff(f1389,plain,(
25.96/26.21	  spl35_88 <=> tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_88])])).
25.96/26.21	tff(f1391,plain,(
25.96/26.21	  spl35_88 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1384,f1014,f1389])).
25.96/26.21	tff(f1392,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1344,f274])).
25.96/26.21	tff(f1393,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1392,f274])).
25.96/26.21	tff(f1398,plain,(
25.96/26.21	  spl35_91 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_91])])).
25.96/26.21	tff(f1400,plain,(
25.96/26.21	  ~spl35_91 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1393,f1014,f1398])).
25.96/26.21	tff(f1401,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1345,f274])).
25.96/26.21	tff(f1402,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1401,f274])).
25.96/26.21	tff(f1407,plain,(
25.96/26.21	  spl35_93 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_93])])).
25.96/26.21	tff(f1409,plain,(
25.96/26.21	  ~spl35_93 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1402,f1014,f1407])).
25.96/26.21	tff(f1410,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1346,f274])).
25.96/26.21	tff(f1411,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1410,f274])).
25.96/26.21	tff(f1416,plain,(
25.96/26.21	  spl35_95 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_95])])).
25.96/26.21	tff(f1418,plain,(
25.96/26.21	  ~spl35_95 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1411,f1014,f1416])).
25.96/26.21	tff(f1419,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1347,f274])).
25.96/26.21	tff(f1420,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_67),
25.96/26.21	  inference(forward_demodulation,[],[f1419,f274])).
25.96/26.21	tff(f1425,plain,(
25.96/26.21	  spl35_97 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_97])])).
25.96/26.21	tff(f1427,plain,(
25.96/26.21	  ~spl35_97 | spl35_67),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1420,f1014,f1425])).
25.96/26.21	tff(f1449,plain,(
25.96/26.21	  ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f372])).
25.96/26.21	tff(f1450,plain,(
25.96/26.21	  sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f373])).
25.96/26.21	tff(f1451,plain,(
25.96/26.21	  $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f374])).
25.96/26.21	tff(f1452,plain,(
25.96/26.21	  $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f375])).
25.96/26.21	tff(f1453,plain,(
25.96/26.21	  ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f376])).
25.96/26.21	tff(f1454,plain,(
25.96/26.21	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f417])).
25.96/26.21	tff(f1455,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f418])).
25.96/26.21	tff(f1456,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f419])).
25.96/26.21	tff(f1457,plain,(
25.96/26.21	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f420])).
25.96/26.21	tff(f1458,plain,(
25.96/26.21	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.21	  inference(resolution,[],[f1027,f421])).
25.96/26.21	tff(f1463,plain,(
25.96/26.21	  spl35_99 <=> ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_99])])).
25.96/26.21	tff(f1465,plain,(
25.96/26.21	  ~spl35_99 | spl35_71),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1449,f1026,f1463])).
25.96/26.21	tff(f1470,plain,(
25.96/26.21	  spl35_101 <=> sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_101])])).
25.96/26.21	tff(f1472,plain,(
25.96/26.21	  ~spl35_101 | spl35_71),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1450,f1026,f1470])).
25.96/26.21	tff(f1477,plain,(
25.96/26.21	  spl35_102 <=> $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_102])])).
25.96/26.21	tff(f1479,plain,(
25.96/26.21	  spl35_102 | spl35_71),
25.96/26.21	  inference(AVATAR_split_clause,[],[f1451,f1026,f1477])).
25.96/26.21	tff(f1484,plain,(
25.96/26.21	  spl35_104 <=> $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9)),
25.96/26.21	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_104])])).
25.96/26.21	tff(f1486,plain,(
25.96/26.22	  spl35_104 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1452,f1026,f1484])).
25.96/26.22	tff(f1491,plain,(
25.96/26.22	  spl35_107 <=> ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_107])])).
25.96/26.22	tff(f1493,plain,(
25.96/26.22	  ~spl35_107 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1453,f1026,f1491])).
25.96/26.22	tff(f1494,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1454,f274])).
25.96/26.22	tff(f1495,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1494,f274])).
25.96/26.22	tff(f1500,plain,(
25.96/26.22	  spl35_108 <=> tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_108])])).
25.96/26.22	tff(f1502,plain,(
25.96/26.22	  spl35_108 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1495,f1026,f1500])).
25.96/26.22	tff(f1503,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1455,f274])).
25.96/26.22	tff(f1504,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1503,f274])).
25.96/26.22	tff(f1509,plain,(
25.96/26.22	  spl35_111 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_111])])).
25.96/26.22	tff(f1511,plain,(
25.96/26.22	  ~spl35_111 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1504,f1026,f1509])).
25.96/26.22	tff(f1512,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1456,f274])).
25.96/26.22	tff(f1513,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1512,f274])).
25.96/26.22	tff(f1518,plain,(
25.96/26.22	  spl35_113 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_113])])).
25.96/26.22	tff(f1520,plain,(
25.96/26.22	  ~spl35_113 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1513,f1026,f1518])).
25.96/26.22	tff(f1521,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1457,f274])).
25.96/26.22	tff(f1522,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1521,f274])).
25.96/26.22	tff(f1527,plain,(
25.96/26.22	  spl35_115 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_115])])).
25.96/26.22	tff(f1529,plain,(
25.96/26.22	  ~spl35_115 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1522,f1026,f1527])).
25.96/26.22	tff(f1530,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1458,f274])).
25.96/26.22	tff(f1531,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f1530,f274])).
25.96/26.22	tff(f1536,plain,(
25.96/26.22	  spl35_117 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_117])])).
25.96/26.22	tff(f1538,plain,(
25.96/26.22	  ~spl35_117 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1531,f1026,f1536])).
25.96/26.22	tff(f1557,plain,(
25.96/26.22	  ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK19,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))) ) | ~spl35_0),
25.96/26.22	  inference(resolution,[],[f1280,f348])).
25.96/26.22	tff(f1559,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1557,f396])).
25.96/26.22	tff(f1560,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1559,f399])).
25.96/26.22	tff(f1579,plain,(
25.96/26.22	  ~valid_values1(sK19) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_68),
25.96/26.22	  inference(resolution,[],[f1021,f435])).
25.96/26.22	tff(f1581,plain,(
25.96/26.22	  valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_68),
25.96/26.22	  inference(resolution,[],[f1021,f248])).
25.96/26.22	tff(f1582,plain,(
25.96/26.22	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | (~spl35_16 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f1579,f513])).
25.96/26.22	tff(f1583,plain,(
25.96/26.22	  ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | (~spl35_16 | ~spl35_64 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f1582,f1006])).
25.96/26.22	tff(f1584,plain,(
25.96/26.22	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | (~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f1583,f762])).
25.96/26.22	tff(f1589,plain,(
25.96/26.22	  spl35_119 <=> ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_119])])).
25.96/26.22	tff(f1590,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_119),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1589])).
25.96/26.22	tff(f1595,plain,(
25.96/26.22	  spl35_121 <=> ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_121])])).
25.96/26.22	tff(f1596,plain,(
25.96/26.22	  ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~spl35_121),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1595])).
25.96/26.22	tff(f1597,plain,(
25.96/26.22	  ~spl35_119 | ~spl35_121 | ~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1584,f1020,f1005,f761,f512,f1595,f1589])).
25.96/26.22	tff(f1598,plain,(
25.96/26.22	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_0 | ~spl35_119)),
25.96/26.22	  inference(resolution,[],[f1590,f1560])).
25.96/26.22	tff(f1613,plain,(
25.96/26.22	  $false | (~spl35_0 | ~spl35_64 | ~spl35_119)),
25.96/26.22	  inference(subsumption_resolution,[],[f1598,f1006])).
25.96/26.22	tff(f1614,plain,(
25.96/26.22	  ~spl35_0 | ~spl35_64 | spl35_119),
25.96/26.22	  inference(AVATAR_contradiction_clause,[],[f1613,f1589,f1005,f453])).
25.96/26.22	tff(f1643,plain,(
25.96/26.22	  ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK19,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))) ) | ~spl35_0),
25.96/26.22	  inference(resolution,[],[f1281,f350])).
25.96/26.22	tff(f1645,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1643,f397])).
25.96/26.22	tff(f1646,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1645,f398])).
25.96/26.22	tff(f1672,plain,(
25.96/26.22	  ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK19,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))) ) | ~spl35_0),
25.96/26.22	  inference(resolution,[],[f1282,f346])).
25.96/26.22	tff(f1674,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1672,f401])).
25.96/26.22	tff(f1675,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_chunk1(sK19,X0,tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~is_index1(X0)) ) | ~spl35_0),
25.96/26.22	  inference(forward_demodulation,[],[f1674,f400])).
25.96/26.22	tff(f1696,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_47),
25.96/26.22	  inference(resolution,[],[f870,f349])).
25.96/26.22	tff(f1698,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_47),
25.96/26.22	  inference(forward_demodulation,[],[f1696,f396])).
25.96/26.22	tff(f1699,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_47),
25.96/26.22	  inference(forward_demodulation,[],[f1698,f399])).
25.96/26.22	tff(f1700,plain,(
25.96/26.22	  ~spl35_77 | spl35_47),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1699,f869,f1250])).
25.96/26.22	tff(f1706,plain,(
25.96/26.22	  ~$less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f372])).
25.96/26.22	tff(f1707,plain,(
25.96/26.22	  sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) != sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f373])).
25.96/26.22	tff(f1708,plain,(
25.96/26.22	  $less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f374])).
25.96/26.22	tff(f1709,plain,(
25.96/26.22	  $less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f375])).
25.96/26.22	tff(f1710,plain,(
25.96/26.22	  ~$less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f376])).
25.96/26.22	tff(f1711,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f417])).
25.96/26.22	tff(f1712,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f418])).
25.96/26.22	tff(f1713,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f419])).
25.96/26.22	tff(f1714,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f420])).
25.96/26.22	tff(f1715,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(resolution,[],[f1251,f421])).
25.96/26.22	tff(f1720,plain,(
25.96/26.22	  spl35_123 <=> ~$less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_123])])).
25.96/26.22	tff(f1722,plain,(
25.96/26.22	  ~spl35_123 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1706,f1250,f1720])).
25.96/26.22	tff(f1727,plain,(
25.96/26.22	  spl35_125 <=> sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) != sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_125])])).
25.96/26.22	tff(f1729,plain,(
25.96/26.22	  ~spl35_125 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1707,f1250,f1727])).
25.96/26.22	tff(f1734,plain,(
25.96/26.22	  spl35_126 <=> $less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_126])])).
25.96/26.22	tff(f1736,plain,(
25.96/26.22	  spl35_126 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1708,f1250,f1734])).
25.96/26.22	tff(f1741,plain,(
25.96/26.22	  spl35_128 <=> $less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_128])])).
25.96/26.22	tff(f1743,plain,(
25.96/26.22	  spl35_128 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1709,f1250,f1741])).
25.96/26.22	tff(f1748,plain,(
25.96/26.22	  spl35_131 <=> ~$less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_131])])).
25.96/26.22	tff(f1750,plain,(
25.96/26.22	  ~spl35_131 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1710,f1250,f1748])).
25.96/26.22	tff(f1751,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1711,f274])).
25.96/26.22	tff(f1752,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1751,f274])).
25.96/26.22	tff(f1757,plain,(
25.96/26.22	  spl35_132 <=> tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_132])])).
25.96/26.22	tff(f1759,plain,(
25.96/26.22	  spl35_132 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1752,f1250,f1757])).
25.96/26.22	tff(f1760,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1712,f274])).
25.96/26.22	tff(f1761,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1760,f274])).
25.96/26.22	tff(f1766,plain,(
25.96/26.22	  spl35_135 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_135])])).
25.96/26.22	tff(f1768,plain,(
25.96/26.22	  ~spl35_135 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1761,f1250,f1766])).
25.96/26.22	tff(f1769,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1713,f274])).
25.96/26.22	tff(f1770,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1769,f274])).
25.96/26.22	tff(f1775,plain,(
25.96/26.22	  spl35_137 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_137])])).
25.96/26.22	tff(f1777,plain,(
25.96/26.22	  ~spl35_137 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1770,f1250,f1775])).
25.96/26.22	tff(f1778,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1714,f274])).
25.96/26.22	tff(f1779,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1778,f274])).
25.96/26.22	tff(f1784,plain,(
25.96/26.22	  spl35_139 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_139])])).
25.96/26.22	tff(f1786,plain,(
25.96/26.22	  ~spl35_139 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1779,f1250,f1784])).
25.96/26.22	tff(f1787,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1715,f274])).
25.96/26.22	tff(f1788,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_77),
25.96/26.22	  inference(forward_demodulation,[],[f1787,f274])).
25.96/26.22	tff(f1793,plain,(
25.96/26.22	  spl35_141 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_141])])).
25.96/26.22	tff(f1795,plain,(
25.96/26.22	  ~spl35_141 | spl35_77),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1788,f1250,f1793])).
25.96/26.22	tff(f1839,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_49),
25.96/26.22	  inference(resolution,[],[f876,f351])).
25.96/26.22	tff(f1841,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_49),
25.96/26.22	  inference(forward_demodulation,[],[f1839,f397])).
25.96/26.22	tff(f1842,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_49),
25.96/26.22	  inference(forward_demodulation,[],[f1841,f398])).
25.96/26.22	tff(f1847,plain,(
25.96/26.22	  spl35_143 <=> ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_143])])).
25.96/26.22	tff(f1848,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_143),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1847])).
25.96/26.22	tff(f1849,plain,(
25.96/26.22	  ~spl35_143 | spl35_49),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1842,f875,f1847])).
25.96/26.22	tff(f1855,plain,(
25.96/26.22	  ~$less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f372])).
25.96/26.22	tff(f1856,plain,(
25.96/26.22	  sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) != sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f373])).
25.96/26.22	tff(f1857,plain,(
25.96/26.22	  $less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f374])).
25.96/26.22	tff(f1858,plain,(
25.96/26.22	  $less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f375])).
25.96/26.22	tff(f1859,plain,(
25.96/26.22	  ~$less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f376])).
25.96/26.22	tff(f1860,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f417])).
25.96/26.22	tff(f1861,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f418])).
25.96/26.22	tff(f1862,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f419])).
25.96/26.22	tff(f1863,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f420])).
25.96/26.22	tff(f1864,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f421])).
25.96/26.22	tff(f1869,plain,(
25.96/26.22	  spl35_145 <=> ~$less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_145])])).
25.96/26.22	tff(f1871,plain,(
25.96/26.22	  ~spl35_145 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1855,f1847,f1869])).
25.96/26.22	tff(f1876,plain,(
25.96/26.22	  spl35_147 <=> sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) != sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_147])])).
25.96/26.22	tff(f1878,plain,(
25.96/26.22	  ~spl35_147 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1856,f1847,f1876])).
25.96/26.22	tff(f1883,plain,(
25.96/26.22	  spl35_148 <=> $less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_148])])).
25.96/26.22	tff(f1885,plain,(
25.96/26.22	  spl35_148 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1857,f1847,f1883])).
25.96/26.22	tff(f1890,plain,(
25.96/26.22	  spl35_150 <=> $less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_150])])).
25.96/26.22	tff(f1892,plain,(
25.96/26.22	  spl35_150 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1858,f1847,f1890])).
25.96/26.22	tff(f1897,plain,(
25.96/26.22	  spl35_153 <=> ~$less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_153])])).
25.96/26.22	tff(f1899,plain,(
25.96/26.22	  ~spl35_153 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1859,f1847,f1897])).
25.96/26.22	tff(f1900,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1860,f274])).
25.96/26.22	tff(f1901,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1900,f274])).
25.96/26.22	tff(f1906,plain,(
25.96/26.22	  spl35_154 <=> tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_154])])).
25.96/26.22	tff(f1908,plain,(
25.96/26.22	  spl35_154 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1901,f1847,f1906])).
25.96/26.22	tff(f1909,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1861,f274])).
25.96/26.22	tff(f1910,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1909,f274])).
25.96/26.22	tff(f1915,plain,(
25.96/26.22	  spl35_157 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_157])])).
25.96/26.22	tff(f1917,plain,(
25.96/26.22	  ~spl35_157 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1910,f1847,f1915])).
25.96/26.22	tff(f1918,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1862,f274])).
25.96/26.22	tff(f1919,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1918,f274])).
25.96/26.22	tff(f1924,plain,(
25.96/26.22	  spl35_159 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_159])])).
25.96/26.22	tff(f1926,plain,(
25.96/26.22	  ~spl35_159 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1919,f1847,f1924])).
25.96/26.22	tff(f1927,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1863,f274])).
25.96/26.22	tff(f1928,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1927,f274])).
25.96/26.22	tff(f1933,plain,(
25.96/26.22	  spl35_161 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_161])])).
25.96/26.22	tff(f1935,plain,(
25.96/26.22	  ~spl35_161 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1928,f1847,f1933])).
25.96/26.22	tff(f1936,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1864,f274])).
25.96/26.22	tff(f1937,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f1936,f274])).
25.96/26.22	tff(f1942,plain,(
25.96/26.22	  spl35_163 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_163])])).
25.96/26.22	tff(f1944,plain,(
25.96/26.22	  ~spl35_163 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1937,f1847,f1942])).
25.96/26.22	tff(f1972,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | ~spl35_121),
25.96/26.22	  inference(resolution,[],[f1596,f355])).
25.96/26.22	tff(f1973,plain,(
25.96/26.22	  $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)) | ~spl35_121),
25.96/26.22	  inference(resolution,[],[f1596,f356])).
25.96/26.22	tff(f1974,plain,(
25.96/26.22	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~spl35_121),
25.96/26.22	  inference(resolution,[],[f1596,f357])).
25.96/26.22	tff(f1976,plain,(
25.96/26.22	  spl35_164 <=> $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_164])])).
25.96/26.22	tff(f1979,plain,(
25.96/26.22	  spl35_165 <=> ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_165])])).
25.96/26.22	tff(f1980,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | ~spl35_165),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1979])).
25.96/26.22	tff(f1981,plain,(
25.96/26.22	  ~spl35_165 | spl35_121),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1972,f1595,f1979])).
25.96/26.22	tff(f1986,plain,(
25.96/26.22	  spl35_166 <=> $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_166])])).
25.96/26.22	tff(f1988,plain,(
25.96/26.22	  spl35_166 | spl35_121),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1973,f1595,f1986])).
25.96/26.22	tff(f1993,plain,(
25.96/26.22	  spl35_169 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_169])])).
25.96/26.22	tff(f1994,plain,(
25.96/26.22	  ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~spl35_169),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1993])).
25.96/26.22	tff(f1999,plain,(
25.96/26.22	  spl35_171 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_171])])).
25.96/26.22	tff(f2000,plain,(
25.96/26.22	  ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~spl35_171),
25.96/26.22	  inference(AVATAR_component_clause,[],[f1999])).
25.96/26.22	tff(f2005,plain,(
25.96/26.22	  spl35_173 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_173])])).
25.96/26.22	tff(f2006,plain,(
25.96/26.22	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | ~spl35_173),
25.96/26.22	  inference(AVATAR_component_clause,[],[f2005])).
25.96/26.22	tff(f2007,plain,(
25.96/26.22	  ~spl35_169 | ~spl35_171 | ~spl35_173 | spl35_121),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1974,f1595,f2005,f1999,f1993])).
25.96/26.22	tff(f2028,plain,(
25.96/26.22	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_50),
25.96/26.22	  inference(resolution,[],[f879,f346])).
25.96/26.22	tff(f2029,plain,(
25.96/26.22	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_50),
25.96/26.22	  inference(forward_demodulation,[],[f2028,f401])).
25.96/26.22	tff(f2030,plain,(
25.96/26.22	  valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_50),
25.96/26.22	  inference(forward_demodulation,[],[f2029,f400])).
25.96/26.22	tff(f2032,plain,(
25.96/26.22	  spl35_175 <=> ~valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_175])])).
25.96/26.22	tff(f2035,plain,(
25.96/26.22	  spl35_174 <=> valid_chunk1(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_174])])).
25.96/26.22	tff(f2037,plain,(
25.96/26.22	  spl35_174 | ~spl35_50),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2030,f878,f2035])).
25.96/26.22	tff(f2061,plain,(
25.96/26.22	  ~is_index1(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | (~spl35_0 | ~spl35_173)),
25.96/26.22	  inference(resolution,[],[f2006,f1282])).
25.96/26.22	tff(f2062,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | (~spl35_56 | ~spl35_173)),
25.96/26.22	  inference(resolution,[],[f2006,f1175])).
25.96/26.22	tff(f2064,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_173),
25.96/26.22	  inference(resolution,[],[f2006,f347])).
25.96/26.22	tff(f2070,plain,(
25.96/26.22	  spl35_177 <=> ~is_index1(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_177])])).
25.96/26.22	tff(f2072,plain,(
25.96/26.22	  ~spl35_177 | ~spl35_0 | spl35_173),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2061,f2005,f453,f2070])).
25.96/26.22	tff(f2073,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_56 | ~spl35_165 | ~spl35_173)),
25.96/26.22	  inference(subsumption_resolution,[],[f2062,f1980])).
25.96/26.22	tff(f2078,plain,(
25.96/26.22	  spl35_179 <=> ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_179])])).
25.96/26.22	tff(f2080,plain,(
25.96/26.22	  ~spl35_179 | ~spl35_56 | spl35_165 | spl35_173),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2073,f2005,f1979,f906,f2078])).
25.96/26.22	tff(f2081,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_173),
25.96/26.22	  inference(forward_demodulation,[],[f2064,f401])).
25.96/26.22	tff(f2082,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_173),
25.96/26.22	  inference(forward_demodulation,[],[f2081,f400])).
25.96/26.22	tff(f2087,plain,(
25.96/26.22	  spl35_181 <=> ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_181])])).
25.96/26.22	tff(f2089,plain,(
25.96/26.22	  ~spl35_181 | spl35_173),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2082,f2005,f2087])).
25.96/26.22	tff(f2090,plain,(
25.96/26.22	  ~is_index1(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | (~spl35_0 | ~spl35_171)),
25.96/26.22	  inference(resolution,[],[f2000,f1280])).
25.96/26.22	tff(f2091,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | (~spl35_56 | ~spl35_171)),
25.96/26.22	  inference(resolution,[],[f2000,f1174])).
25.96/26.22	tff(f2093,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_171),
25.96/26.22	  inference(resolution,[],[f2000,f349])).
25.96/26.22	tff(f2095,plain,(
25.96/26.22	  ~spl35_177 | ~spl35_0 | spl35_171),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2090,f1999,f453,f2070])).
25.96/26.22	tff(f2096,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_56 | ~spl35_165 | ~spl35_171)),
25.96/26.22	  inference(subsumption_resolution,[],[f2091,f1980])).
25.96/26.22	tff(f2097,plain,(
25.96/26.22	  ~spl35_179 | ~spl35_56 | spl35_165 | spl35_171),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2096,f1999,f1979,f906,f2078])).
25.96/26.22	tff(f2098,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_171),
25.96/26.22	  inference(forward_demodulation,[],[f2093,f396])).
25.96/26.22	tff(f2099,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_171),
25.96/26.22	  inference(forward_demodulation,[],[f2098,f399])).
25.96/26.22	tff(f2104,plain,(
25.96/26.22	  spl35_183 <=> ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_183])])).
25.96/26.22	tff(f2106,plain,(
25.96/26.22	  ~spl35_183 | spl35_171),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2099,f1999,f2104])).
25.96/26.22	tff(f2107,plain,(
25.96/26.22	  ~is_index1(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1))) | (~spl35_0 | ~spl35_169)),
25.96/26.22	  inference(resolution,[],[f1994,f1281])).
25.96/26.22	tff(f2108,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | (~spl35_56 | ~spl35_169)),
25.96/26.22	  inference(resolution,[],[f1994,f1173])).
25.96/26.22	tff(f2110,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))) | ~spl35_169),
25.96/26.22	  inference(resolution,[],[f1994,f351])).
25.96/26.22	tff(f2112,plain,(
25.96/26.22	  ~spl35_177 | ~spl35_0 | spl35_169),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2107,f1993,f453,f2070])).
25.96/26.22	tff(f2113,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_56 | ~spl35_165 | ~spl35_169)),
25.96/26.22	  inference(subsumption_resolution,[],[f2108,f1980])).
25.96/26.22	tff(f2114,plain,(
25.96/26.22	  ~spl35_179 | ~spl35_56 | spl35_165 | spl35_169),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2113,f1993,f1979,f906,f2078])).
25.96/26.22	tff(f2115,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_169),
25.96/26.22	  inference(forward_demodulation,[],[f2110,f397])).
25.96/26.22	tff(f2116,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_169),
25.96/26.22	  inference(forward_demodulation,[],[f2115,f398])).
25.96/26.22	tff(f2121,plain,(
25.96/26.22	  spl35_185 <=> ~valid_chunk1(sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_185])])).
25.96/26.22	tff(f2123,plain,(
25.96/26.22	  ~spl35_185 | spl35_169),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2116,f1993,f2121])).
25.96/26.22	tff(f2124,plain,(
25.96/26.22	  spl35_164 | ~spl35_179 | ~spl35_56 | spl35_169),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2108,f1993,f906,f2078,f1976])).
25.96/26.22	tff(f2125,plain,(
25.96/26.22	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_0 | ~spl35_67)),
25.96/26.22	  inference(resolution,[],[f1015,f1646])).
25.96/26.22	tff(f2140,plain,(
25.96/26.22	  $false | (~spl35_0 | ~spl35_64 | ~spl35_67)),
25.96/26.22	  inference(subsumption_resolution,[],[f2125,f1006])).
25.96/26.22	tff(f2141,plain,(
25.96/26.22	  ~spl35_0 | ~spl35_64 | spl35_67),
25.96/26.22	  inference(AVATAR_contradiction_clause,[],[f2140,f1014,f1005,f453])).
25.96/26.22	tff(f2169,plain,(
25.96/26.22	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | (~spl35_0 | ~spl35_71)),
25.96/26.22	  inference(resolution,[],[f1027,f1675])).
25.96/26.22	tff(f2174,plain,(
25.96/26.22	  ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f372])).
25.96/26.22	tff(f2175,plain,(
25.96/26.22	  sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f373])).
25.96/26.22	tff(f2176,plain,(
25.96/26.22	  $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f374])).
25.96/26.22	tff(f2177,plain,(
25.96/26.22	  $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),9) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f375])).
25.96/26.22	tff(f2178,plain,(
25.96/26.22	  ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))),0) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f376])).
25.96/26.22	tff(f2179,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f417])).
25.96/26.22	tff(f2180,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f418])).
25.96/26.22	tff(f2181,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f419])).
25.96/26.22	tff(f2182,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f420])).
25.96/26.22	tff(f2183,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(resolution,[],[f1027,f421])).
25.96/26.22	tff(f2184,plain,(
25.96/26.22	  $false | (~spl35_0 | ~spl35_64 | ~spl35_71)),
25.96/26.22	  inference(subsumption_resolution,[],[f2169,f1006])).
25.96/26.22	tff(f2185,plain,(
25.96/26.22	  ~spl35_0 | ~spl35_64 | spl35_71),
25.96/26.22	  inference(AVATAR_contradiction_clause,[],[f2184,f1026,f1005,f453])).
25.96/26.22	tff(f2186,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2179,f274])).
25.96/26.22	tff(f2187,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2186,f274])).
25.96/26.22	tff(f2188,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2180,f274])).
25.96/26.22	tff(f2189,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2188,f274])).
25.96/26.22	tff(f2190,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2181,f274])).
25.96/26.22	tff(f2191,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2190,f274])).
25.96/26.22	tff(f2192,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2182,f274])).
25.96/26.22	tff(f2193,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))))))))))),1) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2192,f274])).
25.96/26.22	tff(f2194,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2183,f274])).
25.96/26.22	tff(f2195,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK6,t2tb(sK7))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK8,t2tb(sK9))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))))))))))) | ~spl35_71),
25.96/26.22	  inference(forward_demodulation,[],[f2194,f274])).
25.96/26.22	tff(f2196,plain,(
25.96/26.22	  ~spl35_143 | spl35_49),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1842,f875,f1847])).
25.96/26.22	tff(f2197,plain,(
25.96/26.22	  spl35_76 | ~spl35_46),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1248,f866,f1253])).
25.96/26.22	tff(f2198,plain,(
25.96/26.22	  ~spl35_117 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2195,f1026,f1536])).
25.96/26.22	tff(f2199,plain,(
25.96/26.22	  ~spl35_115 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2193,f1026,f1527])).
25.96/26.22	tff(f2200,plain,(
25.96/26.22	  ~spl35_113 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2191,f1026,f1518])).
25.96/26.22	tff(f2201,plain,(
25.96/26.22	  ~spl35_111 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2189,f1026,f1509])).
25.96/26.22	tff(f2202,plain,(
25.96/26.22	  spl35_108 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2187,f1026,f1500])).
25.96/26.22	tff(f2203,plain,(
25.96/26.22	  ~spl35_107 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2178,f1026,f1491])).
25.96/26.22	tff(f2204,plain,(
25.96/26.22	  spl35_104 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2177,f1026,f1484])).
25.96/26.22	tff(f2205,plain,(
25.96/26.22	  spl35_102 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2176,f1026,f1477])).
25.96/26.22	tff(f2206,plain,(
25.96/26.22	  ~spl35_101 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2175,f1026,f1470])).
25.96/26.22	tff(f2207,plain,(
25.96/26.22	  ~spl35_99 | spl35_71),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2174,f1026,f1463])).
25.96/26.22	tff(f2208,plain,(
25.96/26.22	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_65),
25.96/26.22	  inference(resolution,[],[f1009,f294])).
25.96/26.22	tff(f2209,plain,(
25.96/26.22	  $less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | (~spl35_65 | ~spl35_72)),
25.96/26.22	  inference(subsumption_resolution,[],[f2208,f1033])).
25.96/26.22	tff(f2210,plain,(
25.96/26.22	  spl35_54 | spl35_65 | ~spl35_72),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2209,f1032,f1008,f896])).
25.96/26.22	tff(f2227,plain,(
25.96/26.22	  is_index1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.22	  inference(resolution,[],[f457,f329])).
25.96/26.22	tff(f2228,plain,(
25.96/26.22	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~spl35_1),
25.96/26.22	  inference(resolution,[],[f457,f330])).
25.96/26.22	tff(f2229,plain,(
25.96/26.22	  spl35_44 | spl35_1),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2227,f456,f862])).
25.96/26.22	tff(f2230,plain,(
25.96/26.22	  ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)) | (~spl35_1 | ~spl35_50)),
25.96/26.22	  inference(subsumption_resolution,[],[f2228,f879])).
25.96/26.22	tff(f2231,plain,(
25.96/26.22	  ~spl35_47 | ~spl35_49 | spl35_1 | ~spl35_50),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2230,f878,f456,f875,f869])).
25.96/26.22	tff(f2299,plain,(
25.96/26.22	  ( ! [X0:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,X0) | ~$less(X0,81) | $less(X0,0)) ) | ~spl35_6),
25.96/26.22	  inference(resolution,[],[f477,f352])).
25.96/26.22	tff(f2359,plain,(
25.96/26.22	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | ~spl35_44),
25.96/26.22	  inference(resolution,[],[f863,f295])).
25.96/26.22	tff(f2378,plain,(
25.96/26.22	  ~spl35_61 | ~spl35_44),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2359,f862,f956])).
25.96/26.22	tff(f2413,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),81) | $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),0) | (~spl35_6 | ~spl35_169)),
25.96/26.22	  inference(resolution,[],[f2299,f1994])).
25.96/26.22	tff(f2421,plain,(
25.96/26.22	  spl35_187 <=> ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,$sum(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),1)),81)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_187])])).
25.96/26.22	tff(f2423,plain,(
25.96/26.22	  spl35_164 | ~spl35_187 | ~spl35_6 | spl35_169),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2413,f1993,f476,f2421,f1976])).
25.96/26.22	tff(f2472,plain,(
25.96/26.22	  ~$less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),81) | $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_143)),
25.96/26.22	  inference(resolution,[],[f1848,f1111])).
25.96/26.22	tff(f2477,plain,(
25.96/26.22	  ~$less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f372])).
25.96/26.22	tff(f2478,plain,(
25.96/26.22	  sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) != sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f373])).
25.96/26.22	tff(f2479,plain,(
25.96/26.22	  $less(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f374])).
25.96/26.22	tff(f2480,plain,(
25.96/26.22	  $less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),9) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f375])).
25.96/26.22	tff(f2481,plain,(
25.96/26.22	  ~$less(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))),0) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f376])).
25.96/26.22	tff(f2482,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f417])).
25.96/26.22	tff(f2483,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f418])).
25.96/26.22	tff(f2484,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f419])).
25.96/26.22	tff(f2485,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f420])).
25.96/26.22	tff(f2486,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK12,t2tb(sK13))))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(resolution,[],[f1848,f421])).
25.96/26.22	tff(f2487,plain,(
25.96/26.22	  $less(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),0) | (~spl35_6 | ~spl35_62 | ~spl35_143)),
25.96/26.22	  inference(subsumption_resolution,[],[f2472,f964])).
25.96/26.22	tff(f2488,plain,(
25.96/26.22	  $false | (~spl35_6 | ~spl35_61 | ~spl35_62 | ~spl35_143)),
25.96/26.22	  inference(subsumption_resolution,[],[f2487,f957])).
25.96/26.22	tff(f2489,plain,(
25.96/26.22	  ~spl35_6 | spl35_61 | ~spl35_62 | spl35_143),
25.96/26.22	  inference(AVATAR_contradiction_clause,[],[f2488,f1847,f963,f956,f476])).
25.96/26.22	tff(f2490,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2482,f274])).
25.96/26.22	tff(f2491,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2490,f274])).
25.96/26.22	tff(f2492,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2483,f274])).
25.96/26.22	tff(f2493,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2492,f274])).
25.96/26.22	tff(f2494,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2484,f274])).
25.96/26.22	tff(f2495,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK31(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2494,f274])).
25.96/26.22	tff(f2496,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2485,f274])).
25.96/26.22	tff(f2497,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))))))))))),1) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2496,f274])).
25.96/26.22	tff(f2498,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2486,f274])).
25.96/26.22	tff(f2499,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK10,t2tb(sK11))),t2tb1(sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK12,t2tb(sK13))),t2tb1(sK32(sK19,sK28(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))))))))))) | ~spl35_143),
25.96/26.22	  inference(forward_demodulation,[],[f2498,f274])).
25.96/26.22	tff(f2500,plain,(
25.96/26.22	  ~spl35_47 | ~spl35_49 | ~spl35_51 | spl35_1),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2228,f456,f881,f875,f869])).
25.96/26.22	tff(f2501,plain,(
25.96/26.22	  spl35_66 | ~spl35_68),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1581,f1020,f1011])).
25.96/26.22	tff(f2502,plain,(
25.96/26.22	  ~spl35_175 | spl35_51),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1189,f881,f2032])).
25.96/26.22	tff(f2503,plain,(
25.96/26.22	  ~spl35_77 | spl35_47),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1699,f869,f1250])).
25.96/26.22	tff(f2504,plain,(
25.96/26.22	  ~spl35_75 | spl35_47 | ~spl35_56 | spl35_61),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1221,f956,f906,f869,f1226])).
25.96/26.22	tff(f2505,plain,(
25.96/26.22	  ~spl35_77 | spl35_47),
25.96/26.22	  inference(AVATAR_split_clause,[],[f1233,f869,f1250])).
25.96/26.22	tff(f2506,plain,(
25.96/26.22	  ~spl35_163 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2499,f1847,f1942])).
25.96/26.22	tff(f2507,plain,(
25.96/26.22	  ~spl35_161 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2497,f1847,f1933])).
25.96/26.22	tff(f2508,plain,(
25.96/26.22	  ~spl35_159 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2495,f1847,f1924])).
25.96/26.22	tff(f2509,plain,(
25.96/26.22	  ~spl35_157 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2493,f1847,f1915])).
25.96/26.22	tff(f2510,plain,(
25.96/26.22	  spl35_154 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2491,f1847,f1906])).
25.96/26.22	tff(f2511,plain,(
25.96/26.22	  ~spl35_153 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2481,f1847,f1897])).
25.96/26.22	tff(f2512,plain,(
25.96/26.22	  spl35_150 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2480,f1847,f1890])).
25.96/26.22	tff(f2513,plain,(
25.96/26.22	  spl35_148 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2479,f1847,f1883])).
25.96/26.22	tff(f2514,plain,(
25.96/26.22	  ~spl35_147 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2478,f1847,f1876])).
25.96/26.22	tff(f2515,plain,(
25.96/26.22	  ~spl35_145 | spl35_143),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2477,f1847,f1869])).
25.96/26.22	tff(f2517,plain,(
25.96/26.22	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_2),
25.96/26.22	  inference(resolution,[],[f463,f239])).
25.96/26.22	tff(f2519,plain,(
25.96/26.22	  sP1(sK19,sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),81) | ~spl35_2),
25.96/26.22	  inference(resolution,[],[f463,f241])).
25.96/26.22	tff(f2520,plain,(
25.96/26.22	  ~spl35_55 | ~spl35_2),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2517,f462,f899])).
25.96/26.22	tff(f2521,plain,(
25.96/26.22	  spl35_58 | ~spl35_2),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2519,f462,f913])).
25.96/26.22	tff(f2524,plain,(
25.96/26.22	  ~$less(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),0) | ~spl35_64),
25.96/26.22	  inference(resolution,[],[f1006,f295])).
25.96/26.22	tff(f2543,plain,(
25.96/26.22	  ~spl35_55 | ~spl35_64),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2524,f1005,f899])).
25.96/26.22	tff(f2559,plain,(
25.96/26.22	  ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81),0) | ~spl35_7),
25.96/26.22	  inference(resolution,[],[f474,f355])).
25.96/26.22	tff(f2560,plain,(
25.96/26.22	  $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81),81) | ~spl35_7),
25.96/26.22	  inference(resolution,[],[f474,f356])).
25.96/26.22	tff(f2561,plain,(
25.96/26.22	  ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81)) | ~spl35_7),
25.96/26.22	  inference(resolution,[],[f474,f357])).
25.96/26.22	tff(f2566,plain,(
25.96/26.22	  spl35_189 <=> ~$less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_189])])).
25.96/26.22	tff(f2568,plain,(
25.96/26.22	  ~spl35_189 | spl35_7),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2559,f473,f2566])).
25.96/26.22	tff(f2573,plain,(
25.96/26.22	  spl35_190 <=> $less(sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81),81)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_190])])).
25.96/26.22	tff(f2575,plain,(
25.96/26.22	  spl35_190 | spl35_7),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2560,f473,f2573])).
25.96/26.22	tff(f2580,plain,(
25.96/26.22	  spl35_193 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_193])])).
25.96/26.22	tff(f2586,plain,(
25.96/26.22	  spl35_195 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_195])])).
25.96/26.22	tff(f2592,plain,(
25.96/26.22	  spl35_197 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,sK29(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19,81))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_197])])).
25.96/26.22	tff(f2594,plain,(
25.96/26.22	  ~spl35_193 | ~spl35_195 | ~spl35_197 | spl35_7),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2561,f473,f2592,f2586,f2580])).
25.96/26.22	tff(f2633,plain,(
25.96/26.22	  ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f372])).
25.96/26.22	tff(f2634,plain,(
25.96/26.22	  sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f373])).
25.96/26.22	tff(f2635,plain,(
25.96/26.22	  $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f374])).
25.96/26.22	tff(f2636,plain,(
25.96/26.22	  $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f375])).
25.96/26.22	tff(f2637,plain,(
25.96/26.22	  ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f376])).
25.96/26.22	tff(f2638,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f417])).
25.96/26.22	tff(f2639,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f418])).
25.96/26.22	tff(f2640,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f419])).
25.96/26.22	tff(f2641,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f420])).
25.96/26.22	tff(f2642,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK16,t2tb(sK17))))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(resolution,[],[f1590,f421])).
25.96/26.22	tff(f2647,plain,(
25.96/26.22	  spl35_199 <=> ~$less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_199])])).
25.96/26.22	tff(f2649,plain,(
25.96/26.22	  ~spl35_199 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2633,f1589,f2647])).
25.96/26.22	tff(f2654,plain,(
25.96/26.22	  spl35_201 <=> sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) != sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_201])])).
25.96/26.22	tff(f2656,plain,(
25.96/26.22	  ~spl35_201 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2634,f1589,f2654])).
25.96/26.22	tff(f2661,plain,(
25.96/26.22	  spl35_202 <=> $less(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_202])])).
25.96/26.22	tff(f2663,plain,(
25.96/26.22	  spl35_202 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2635,f1589,f2661])).
25.96/26.22	tff(f2668,plain,(
25.96/26.22	  spl35_204 <=> $less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),9)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_204])])).
25.96/26.22	tff(f2670,plain,(
25.96/26.22	  spl35_204 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2636,f1589,f2668])).
25.96/26.22	tff(f2675,plain,(
25.96/26.22	  spl35_207 <=> ~$less(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),0)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_207])])).
25.96/26.22	tff(f2677,plain,(
25.96/26.22	  ~spl35_207 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2637,f1589,f2675])).
25.96/26.22	tff(f2678,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2638,f274])).
25.96/26.22	tff(f2679,plain,(
25.96/26.22	  tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2678,f274])).
25.96/26.22	tff(f2684,plain,(
25.96/26.22	  spl35_208 <=> tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))) = tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_208])])).
25.96/26.22	tff(f2686,plain,(
25.96/26.22	  spl35_208 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2679,f1589,f2684])).
25.96/26.22	tff(f2687,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2639,f274])).
25.96/26.22	tff(f2688,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2687,f274])).
25.96/26.22	tff(f2693,plain,(
25.96/26.22	  spl35_211 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_211])])).
25.96/26.22	tff(f2695,plain,(
25.96/26.22	  ~spl35_211 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2688,f1589,f2693])).
25.96/26.22	tff(f2696,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2640,f274])).
25.96/26.22	tff(f2697,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2696,f274])).
25.96/26.22	tff(f2702,plain,(
25.96/26.22	  spl35_213 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK31(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_213])])).
25.96/26.22	tff(f2704,plain,(
25.96/26.22	  ~spl35_213 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2697,f1589,f2702])).
25.96/26.22	tff(f2705,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2641,f274])).
25.96/26.22	tff(f2706,plain,(
25.96/26.22	  ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2705,f274])).
25.96/26.22	tff(f2711,plain,(
25.96/26.22	  spl35_215 <=> ~$less(tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))),1)),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_215])])).
25.96/26.22	tff(f2713,plain,(
25.96/26.22	  ~spl35_215 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2706,f1589,f2711])).
25.96/26.22	tff(f2714,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK14,t2tb(sK15))))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2642,f274])).
25.96/26.22	tff(f2715,plain,(
25.96/26.22	  ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))))))))))) | ~spl35_119),
25.96/26.22	  inference(forward_demodulation,[],[f2714,f274])).
25.96/26.22	tff(f2720,plain,(
25.96/26.22	  spl35_217 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK19),t2tb1($sum(tb2t1(get(int,int,elts(int,mk_array1(int,sK14,t2tb(sK15))),t2tb1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)))),tb2t1(get(int,int,elts(int,mk_array1(int,sK16,t2tb(sK17))),t2tb1(sK32(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17))))))))))))),
25.96/26.22	  introduced(AVATAR_definition,[new_symbols(naming,[spl35_217])])).
25.96/26.22	tff(f2722,plain,(
25.96/26.22	  ~spl35_217 | spl35_119),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2715,f1589,f2720])).
25.96/26.22	tff(f2738,plain,(
25.96/26.22	  ~valid_values1(sK19) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.22	  inference(resolution,[],[f914,f447])).
25.96/26.22	tff(f2739,plain,(
25.96/26.22	  ~valid_values1(sK19) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.22	  inference(resolution,[],[f914,f445])).
25.96/26.22	tff(f2741,plain,(
25.96/26.22	  ~valid_values1(sK19) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.22	  inference(resolution,[],[f914,f443])).
25.96/26.22	tff(f2742,plain,(
25.96/26.22	  ~valid_values1(sK19) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | ~spl35_58),
25.96/26.22	  inference(resolution,[],[f914,f441])).
25.96/26.22	tff(f2743,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2738,f513])).
25.96/26.22	tff(f2744,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2743,f1024])).
25.96/26.22	tff(f2745,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58 | ~spl35_66 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2744,f1012])).
25.96/26.22	tff(f2746,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_66 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2745,f771])).
25.96/26.22	tff(f2747,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2746,f1006])).
25.96/26.22	tff(f2748,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | (~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2747,f726])).
25.96/26.22	tff(f2749,plain,(
25.96/26.22	  spl35_68 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66 | ~spl35_70),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2748,f1023,f1011,f1005,f913,f770,f725,f512,f1020])).
25.96/26.22	tff(f2750,plain,(
25.96/26.22	  ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2739,f513])).
25.96/26.22	tff(f2751,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2750,f1024])).
25.96/26.22	tff(f2752,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_58 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2751,f457])).
25.96/26.22	tff(f2753,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2752,f771])).
25.96/26.22	tff(f2754,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2753,f1006])).
25.96/26.22	tff(f2755,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | (~spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_70)),
25.96/26.22	  inference(subsumption_resolution,[],[f2754,f726])).
25.96/26.22	tff(f2756,plain,(
25.96/26.22	  spl35_68 | spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_70),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2755,f1023,f1005,f913,f770,f725,f512,f456,f1020])).
25.96/26.22	tff(f2757,plain,(
25.96/26.22	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2741,f513])).
25.96/26.22	tff(f2758,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2757,f457])).
25.96/26.22	tff(f2759,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_58 | ~spl35_66)),
25.96/26.22	  inference(subsumption_resolution,[],[f2758,f1012])).
25.96/26.22	tff(f2760,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_66)),
25.96/26.22	  inference(subsumption_resolution,[],[f2759,f771])).
25.96/26.22	tff(f2761,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66)),
25.96/26.22	  inference(subsumption_resolution,[],[f2760,f1006])).
25.96/26.22	tff(f2762,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | (~spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66)),
25.96/26.22	  inference(subsumption_resolution,[],[f2761,f726])).
25.96/26.22	tff(f2763,plain,(
25.96/26.22	  spl35_68 | spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64 | ~spl35_66),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2762,f1011,f1005,f913,f770,f725,f512,f456,f1020])).
25.96/26.22	tff(f2764,plain,(
25.96/26.22	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2742,f513])).
25.96/26.22	tff(f2765,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13)))) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2764,f457])).
25.96/26.22	tff(f2766,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58)),
25.96/26.22	  inference(subsumption_resolution,[],[f2765,f771])).
25.96/26.22	tff(f2767,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9)))) | (~spl35_1 | ~spl35_16 | ~spl35_34 | ~spl35_58 | ~spl35_64)),
25.96/26.22	  inference(subsumption_resolution,[],[f2766,f1006])).
25.96/26.22	tff(f2768,plain,(
25.96/26.22	  sP0(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),sK17,sK16,sK15,sK14,sK13,sK12,sK11,sK10,sK9,sK8,sK7,sK6,81) | (~spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64)),
25.96/26.22	  inference(subsumption_resolution,[],[f2767,f726])).
25.96/26.22	tff(f2769,plain,(
25.96/26.22	  spl35_68 | spl35_1 | ~spl35_16 | ~spl35_24 | ~spl35_34 | ~spl35_58 | ~spl35_64),
25.96/26.22	  inference(AVATAR_split_clause,[],[f2768,f1005,f913,f770,f725,f512,f456,f1020])).
25.96/26.22	tff(f2805,plain,(
25.96/26.22	  ~valid_values1(sK19) | ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | ~spl35_68),
25.96/26.22	  inference(resolution,[],[f1021,f436])).
25.96/26.22	tff(f2809,plain,(
25.96/26.22	  ~is_index1(sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | (~spl35_16 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f2805,f513])).
25.96/26.22	tff(f2810,plain,(
25.96/26.22	  ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | (~spl35_16 | ~spl35_64 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f2809,f1006])).
25.96/26.22	tff(f2811,plain,(
25.96/26.22	  valid_chunk1(sK19,sK5(81,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK19),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | (~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68)),
25.96/26.22	  inference(subsumption_resolution,[],[f2810,f762])).
25.96/26.22	tff(f2812,plain,(
25.96/26.22	  valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))),tb2t2(mk_array1(int,sK12,t2tb(sK13))),tb2t2(mk_array1(int,sK14,t2tb(sK15))),tb2t2(mk_array1(int,sK16,t2tb(sK17)))),sK19) | (~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68 | ~spl35_119)),
25.96/26.22	  inference(subsumption_resolution,[],[f2811,f1590])).
25.96/26.22	tff(f2813,plain,(
25.96/26.22	  $false | (~spl35_1 | ~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68 | ~spl35_119)),
25.96/26.22	  inference(subsumption_resolution,[],[f2812,f457])).
25.96/26.22	tff(f2814,plain,(
25.96/26.22	  spl35_1 | ~spl35_16 | ~spl35_32 | ~spl35_64 | ~spl35_68 | spl35_119),
25.96/26.22	  inference(AVATAR_contradiction_clause,[],[f2813,f1589,f1020,f1005,f761,f512,f456])).
25.96/26.22	tff(f2819,plain,(
25.96/26.22	  $false),
25.96/26.22	  inference(AVATAR_sat_refutation,[],[f470,f471,f478,f479,f486,f493,f500,f507,f514,f521,f528,f535,f727,f736,f745,f754,f763,f772,f799,f800,f819,f864,f883,f894,f901,f908,f915,f926,f927,f958,f965,f970,f971,f972,f973,f1028,f1037,f1038,f1057,f1058,f1080,f1081,f1187,f1228,f1231,f1255,f1259,f1262,f1266,f1270,f1271,f1276,f1277,f1304,f1305,f1333,f1354,f1361,f1368,f1375,f1382,f1391,f1400,f1409,f1418,f1427,f1465,f1472,f1479,f1486,f1493,f1502,f1511,f1520,f1529,f1538,f1597,f1614,f1700,f1722,f1729,f1736,f1743,f1750,f1759,f1768,f1777,f1786,f1795,f1849,f1871,f1878,f1885,f1892,f1899,f1908,f1917,f1926,f1935,f1944,f1981,f1988,f2007,f2037,f2072,f2080,f2089,f2095,f2097,f2106,f2112,f2114,f2123,f2124,f2141,f2185,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2210,f2229,f2231,f2378,f2423,f2489,f2500,f2501,f2502,f2503,f2504,f2505,f2506,f2507,f2508,f2509,f2510,f2511,f2512,f2513,f2514,f2515,f2520,f2521,f2543,f2568,f2575,f2594,f2649,f2656,f2663,f2670,f2677,f2686,f2695,f2704,f2713,f2722,f2749,f2756,f2763,f2769,f2814])).
25.96/26.22	% SZS output end Proof for theBenchmark
25.96/26.22	% ------------------------------
25.96/26.22	% Version: Vampire 4.1 for CASC J8 Entry
25.96/26.22	% Termination reason: Refutation
25.96/26.22	
25.96/26.22	% Memory used [KB]: 3198
25.96/26.22	% Time elapsed: 0.188 s
25.96/26.22	% ------------------------------
25.96/26.22	% ------------------------------
25.96/26.22	% Success in time 25.973 s
25.96/26.22	EOF