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 0.03/0.23 % Computer : n119.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:53:40 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % 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 0.44/0.67 % (35615)Time limit reached! 0.44/0.67 % ------------------------------ 0.44/0.67 % Version: Vampire 4.1 for CASC J8 Entry 0.44/0.67 % Termination reason: Time limit 0.44/0.67 % Termination phase: Saturation 0.44/0.67 0.44/0.67 % Memory used [KB]: 8827 0.44/0.67 % Time elapsed: 0.400 s 0.44/0.67 % ------------------------------ 0.44/0.67 % ------------------------------ 0.44/0.67 % remaining time: 2995 next slice time: 3 0.44/0.67 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 % (35616)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]: 7803 0.49/1.07 % Time elapsed: 0.400 s 0.49/1.07 % ------------------------------ 0.49/1.07 % ------------------------------ 0.49/1.07 % 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 1.41/1.68 % (35617)Time limit reached! 1.41/1.68 % ------------------------------ 1.41/1.68 % Version: Vampire 4.1 for CASC J8 Entry 1.41/1.68 % Termination reason: Time limit 1.41/1.68 % Termination phase: Saturation 1.41/1.68 1.41/1.68 % Memory used [KB]: 11001 1.41/1.68 % Time elapsed: 0.600 s 1.41/1.68 % ------------------------------ 1.41/1.68 % ------------------------------ 1.41/1.68 % remaining time: 2985 next slice time: 9 1.41/1.68 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 2.41/2.68 % (35618)Time limit reached! 2.41/2.68 % ------------------------------ 2.41/2.68 % Version: Vampire 4.1 for CASC J8 Entry 2.41/2.68 % Termination reason: Time limit 2.41/2.68 % Termination phase: Saturation 2.41/2.68 2.41/2.68 % Memory used [KB]: 5884 2.41/2.68 % Time elapsed: 1.0000 s 2.41/2.68 % ------------------------------ 2.41/2.68 % ------------------------------ 2.41/2.68 % remaining time: 2975 next slice time: 10 2.41/2.68 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 2.72/2.93 % Refutation found. Thanks to Tanya! 2.72/2.93 % SZS status Theorem for theBenchmark 2.72/2.93 % SZS output start Proof for theBenchmark 2.72/2.93 tff(type_def_6, type, uni: $tType). 2.72/2.93 tff(type_def_7, type, ty: $tType). 2.72/2.93 tff(type_def_8, type, bool1: $tType). 2.72/2.93 tff(type_def_9, type, tuple02: $tType). 2.72/2.93 tff(type_def_10, type, array_int: $tType). 2.72/2.93 tff(type_def_11, type, map_int_int: $tType). 2.72/2.93 tff(func_def_0, type, witness1: ty > uni). 2.72/2.93 tff(func_def_1, type, int: ty). 2.72/2.93 tff(func_def_2, type, real: ty). 2.72/2.93 tff(func_def_3, type, bool: ty). 2.72/2.93 tff(func_def_4, type, true1: bool1). 2.72/2.93 tff(func_def_5, type, false1: bool1). 2.72/2.93 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 2.72/2.93 tff(func_def_7, type, tuple0: ty). 2.72/2.93 tff(func_def_8, type, tuple03: tuple02). 2.72/2.93 tff(func_def_9, type, qtmark: ty). 2.72/2.93 tff(func_def_10, type, map: (ty * ty) > ty). 2.72/2.93 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 2.72/2.93 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 2.72/2.93 tff(func_def_13, type, const: (ty * ty * uni) > uni). 2.72/2.93 tff(func_def_14, type, array: ty > ty). 2.72/2.93 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 2.72/2.93 tff(func_def_16, type, length1: (ty * uni) > $int). 2.72/2.93 tff(func_def_17, type, elts: (ty * uni) > uni). 2.72/2.93 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 2.72/2.93 tff(func_def_19, type, t2tb: $int > uni). 2.72/2.93 tff(func_def_20, type, tb2t: uni > $int). 2.72/2.93 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 2.72/2.93 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 2.72/2.93 tff(func_def_23, type, t2tb1: array_int > uni). 2.72/2.93 tff(func_def_24, type, tb2t1: uni > array_int). 2.72/2.93 tff(func_def_25, type, ref: ty > ty). 2.72/2.93 tff(func_def_26, type, mk_ref: (ty * uni) > uni). 2.72/2.93 tff(func_def_27, type, contents: (ty * uni) > uni). 2.72/2.93 tff(func_def_28, type, t2tb2: map_int_int > uni). 2.72/2.93 tff(func_def_29, type, tb2t2: uni > map_int_int). 2.72/2.93 tff(func_def_34, type, sK0: $int). 2.72/2.93 tff(func_def_35, type, sK1: map_int_int). 2.72/2.93 tff(func_def_36, type, sK2: $int). 2.72/2.93 tff(func_def_37, type, sK3: $int). 2.72/2.93 tff(func_def_38, type, sK4: $int). 2.72/2.93 tff(func_def_39, type, sK5: $int). 2.72/2.93 tff(func_def_40, type, sK6: (array_int * $int * $int * $int) > $int). 2.72/2.93 tff(func_def_41, type, sK7: (array_int * $int * $int * $int) > $int). 2.72/2.93 tff(pred_def_1, type, sort1: (ty * uni) > $o). 2.72/2.93 tff(pred_def_2, type, is_common_prefix1: (array_int * $int * $int * $int) > $o). 2.72/2.93 tff(pred_def_3, type, is_longest_common_prefix1: (array_int * $int * $int * $int) > $o). 2.72/2.93 tff(f4,axiom,( 2.72/2.93 ! [X9 : map_int_int] : sort1(map(int,int),t2tb2(X9))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort4)). 2.72/2.93 tff(f6,conjecture,( 2.72/2.93 ! [X0 : $int,X1 : map_int_int,X9 : $int,X11 : $int] : (($lesseq(0,X9) & $lesseq(X11,X0) & $lesseq(0,X11) & $lesseq(X9,X0) & $lesseq(0,X0)) => ! [X12 : $int] : (is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X12) => ($less($sum(X9,X12),X0) => ($less($sum(X11,X12),X0) => (($lesseq(0,$sum(X11,X12)) & $less($sum(X11,X12),X0)) => (($lesseq(0,$sum(X9,X12)) & $less($sum(X9,X12),X0)) => (tb2t(get(int,int,t2tb2(X1),t2tb($sum(X9,X12)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X11,X12)))) => ! [X13 : $int] : ($sum(X12,1) = X13 => is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X13)))))))))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_lcp)). 2.72/2.93 tff(f7,negated_conjecture,( 2.72/2.93 ~! [X0 : $int,X1 : map_int_int,X9 : $int,X11 : $int] : (($lesseq(0,X9) & $lesseq(X11,X0) & $lesseq(0,X11) & $lesseq(X9,X0) & $lesseq(0,X0)) => ! [X12 : $int] : (is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X12) => ($less($sum(X9,X12),X0) => ($less($sum(X11,X12),X0) => (($lesseq(0,$sum(X11,X12)) & $less($sum(X11,X12),X0)) => (($lesseq(0,$sum(X9,X12)) & $less($sum(X9,X12),X0)) => (tb2t(get(int,int,t2tb2(X1),t2tb($sum(X9,X12)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X11,X12)))) => ! [X13 : $int] : ($sum(X12,1) = X13 => is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X13)))))))))), 2.72/2.93 inference(negated_conjecture,[],[f6])). 2.72/2.93 tff(f12,axiom,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : (($lesseq(0,X12) & $lesseq($sum(X9,X12),length1(int,t2tb1(X0))) & $lesseq($sum(X11,X12),length1(int,t2tb1(X0))) & ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X9,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X11,X2))))) <=> is_common_prefix1(X0,X9,X11,X12))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_common_prefix_def)). 2.72/2.93 tff(f13,axiom,( 2.72/2.93 ! [X0 : ty,X17 : $int,X18 : uni] : length1(X0,mk_array1(X0,X17,X18)) = X17), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def1)). 2.72/2.93 tff(f17,axiom,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : ((~is_common_prefix1(X0,X9,X11,$sum(X12,1)) & is_common_prefix1(X0,X9,X11,X12)) => is_longest_common_prefix1(X0,X9,X11,X12))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',longest_common_prefix_succ)). 2.72/2.93 tff(f19,axiom,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : (is_longest_common_prefix1(X0,X9,X11,X12) <=> (! [X6 : $int] : ($less(X12,X6) => ~is_common_prefix1(X0,X9,X11,X6)) & is_common_prefix1(X0,X9,X11,X12)))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_longest_common_prefix_def)). 2.72/2.93 tff(f20,axiom,( 2.72/2.93 ! [X4 : uni] : t2tb1(tb2t1(X4)) = X4), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 2.72/2.93 tff(f28,axiom,( 2.72/2.93 ! [X0 : ty,X1 : uni,X2 : $int] : get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 2.72/2.93 tff(f33,axiom,( 2.72/2.93 ! [X4 : uni] : t2tb(tb2t(X4)) = X4), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 2.72/2.93 tff(f34,axiom,( 2.72/2.93 ! [X0 : ty,X17 : $int,X18 : uni] : (sort1(map(int,X0),X18) => elts(X0,mk_array1(X0,X17,X18)) = X18)), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def1)). 2.72/2.93 tff(f37,axiom,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : (($lesseq(0,X12) & tb2t(get2(int,t2tb1(X0),$sum(X9,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X11,X12))) & $less($sum(X11,X12),length1(int,t2tb1(X0))) & $less($sum(X9,X12),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X9,X11,$sum(X12,1)))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_common_prefix_if_last_char_are_different)). 2.72/2.93 tff(f43,axiom,( 2.72/2.93 ! [X9 : $int,X11 : $int,X14 : $int] : ($lesseq(X9,X11) => ($lesseq(0,X14) => $lesseq($product(X9,X14),$product(X11,X14))))), 2.72/2.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 2.72/2.93 tff(f46,plain,( 2.72/2.93 ~! [X0 : $int,X1 : map_int_int,X9 : $int,X11 : $int] : ((~$less(X9,0) & ~$less(X0,X11) & ~$less(X11,0) & ~$less(X0,X9) & ~$less(X0,0)) => ! [X12 : $int] : (is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X12) => ($less($sum(X9,X12),X0) => ($less($sum(X11,X12),X0) => ((~$less($sum(X11,X12),0) & $less($sum(X11,X12),X0)) => ((~$less($sum(X9,X12),0) & $less($sum(X9,X12),X0)) => (tb2t(get(int,int,t2tb2(X1),t2tb($sum(X9,X12)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X11,X12)))) => ! [X13 : $int] : ($sum(X12,1) = X13 => is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X9,X11,X13)))))))))), 2.72/2.93 inference(evaluation,[],[f7])). 2.72/2.93 tff(f47,plain,( 2.72/2.93 ! [X9 : $int,X11 : $int,X14 : $int] : (~$less(X11,X9) => (~$less(X14,0) => ~$less($product(X11,X14),$product(X9,X14))))), 2.72/2.93 inference(evaluation,[],[f43])). 2.72/2.93 tff(f48,plain,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : ((~$less(X12,0) & tb2t(get2(int,t2tb1(X0),$sum(X9,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X11,X12))) & $less($sum(X11,X12),length1(int,t2tb1(X0))) & $less($sum(X9,X12),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X9,X11,$sum(X12,1)))), 2.72/2.93 inference(evaluation,[],[f37])). 2.72/2.93 tff(f49,plain,( 2.72/2.93 ! [X0 : array_int,X9 : $int,X11 : $int,X12 : $int] : ((~$less(X12,0) & ~$less(length1(int,t2tb1(X0)),$sum(X9,X12)) & ~$less(length1(int,t2tb1(X0)),$sum(X11,X12)) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X9,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X11,X2))))) <=> is_common_prefix1(X0,X9,X11,X12))), 2.72/2.93 inference(evaluation,[],[f12])). 2.72/2.93 tff(f50,plain,( 2.72/2.93 ~! [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : ((~$less(X2,0) & ~$less(X0,X3) & ~$less(X3,0) & ~$less(X0,X2) & ~$less(X0,0)) => ! [X4 : $int] : (is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4) => ($less($sum(X2,X4),X0) => ($less($sum(X3,X4),X0) => ((~$less($sum(X3,X4),0) & $less($sum(X3,X4),X0)) => ((~$less($sum(X2,X4),0) & $less($sum(X2,X4),X0)) => (tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) => ! [X5 : $int] : ($sum(X4,1) = X5 => is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5)))))))))), 2.72/2.93 inference(rectify,[],[f46])). 2.72/2.93 tff(f55,plain,( 2.72/2.93 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 2.72/2.93 inference(rectify,[],[f20])). 2.72/2.93 tff(f57,plain,( 2.72/2.93 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 2.72/2.93 inference(rectify,[],[f33])). 2.72/2.93 tff(f60,plain,( 2.72/2.93 ! [X0 : map_int_int] : sort1(map(int,int),t2tb2(X0))), 2.72/2.93 inference(rectify,[],[f4])). 2.72/2.93 tff(f71,plain,( 2.72/2.93 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 2.72/2.93 inference(rectify,[],[f13])). 2.72/2.93 tff(f74,plain,( 2.72/2.93 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 2.72/2.93 inference(rectify,[],[f47])). 2.72/2.93 tff(f77,plain,( 2.72/2.93 ! [X0 : ty,X1 : $int,X2 : uni] : (sort1(map(int,X0),X2) => elts(X0,mk_array1(X0,X1,X2)) = X2)), 2.72/2.93 inference(rectify,[],[f34])). 2.72/2.93 tff(f82,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~is_common_prefix1(X0,X1,X2,$sum(X3,1)) & is_common_prefix1(X0,X1,X2,X3)) => is_longest_common_prefix1(X0,X1,X2,X3))), 2.72/2.93 inference(rectify,[],[f17])). 2.72/2.93 tff(f83,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) & $less($sum(X2,X3),length1(int,t2tb1(X0))) & $less($sum(X1,X3),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 2.72/2.93 inference(rectify,[],[f48])). 2.72/2.93 tff(f84,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) <=> (! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4)) & is_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(rectify,[],[f19])). 2.72/2.93 tff(f85,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,X3)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))))) <=> is_common_prefix1(X0,X1,X2,X3))), 2.72/2.93 inference(rectify,[],[f49])). 2.72/2.93 tff(f89,plain,( 2.72/2.93 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (? [X4 : $int] : ((((((? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(X4,1) = X5) & tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4))))) & (~$less($sum(X2,X4),0) & $less($sum(X2,X4),X0))) & (~$less($sum(X3,X4),0) & $less($sum(X3,X4),X0))) & $less($sum(X3,X4),X0)) & $less($sum(X2,X4),X0)) & is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)) & (~$less(X2,0) & ~$less(X0,X3) & ~$less(X3,0) & ~$less(X0,X2) & ~$less(X0,0)))), 2.72/2.93 inference(ennf_transformation,[],[f50])). 2.72/2.93 tff(f90,plain,( 2.72/2.93 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (? [X4 : $int] : (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(X4,1) = X5) & tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) & ~$less($sum(X2,X4),0) & $less($sum(X2,X4),X0) & ~$less($sum(X3,X4),0) & $less($sum(X3,X4),X0) & $less($sum(X3,X4),X0) & $less($sum(X2,X4),X0) & is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)) & ~$less(X2,0) & ~$less(X0,X3) & ~$less(X3,0) & ~$less(X0,X2) & ~$less(X0,0))), 2.72/2.93 inference(flattening,[],[f89])). 2.72/2.93 tff(f93,plain,( 2.72/2.93 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 2.72/2.93 inference(ennf_transformation,[],[f74])). 2.72/2.93 tff(f94,plain,( 2.72/2.93 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 2.72/2.93 inference(flattening,[],[f93])). 2.72/2.93 tff(f97,plain,( 2.72/2.93 ! [X0 : ty,X1 : $int,X2 : uni] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2))), 2.72/2.93 inference(ennf_transformation,[],[f77])). 2.72/2.93 tff(f99,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | (is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ~is_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(ennf_transformation,[],[f82])). 2.72/2.93 tff(f100,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ~is_common_prefix1(X0,X1,X2,X3))), 2.72/2.93 inference(flattening,[],[f99])). 2.72/2.93 tff(f101,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ($less(X3,0) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | ~$less($sum(X1,X3),length1(int,t2tb1(X0)))))), 2.72/2.93 inference(ennf_transformation,[],[f83])). 2.72/2.93 tff(f102,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))))), 2.72/2.93 inference(flattening,[],[f101])). 2.72/2.93 tff(f103,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) <=> (! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4)) & is_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(ennf_transformation,[],[f84])). 2.72/2.93 tff(f104,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | ($less(X4,0) | ~$less(X4,X3)))) <=> is_common_prefix1(X0,X1,X2,X3))), 2.72/2.93 inference(ennf_transformation,[],[f85])). 2.72/2.93 tff(f105,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3))) <=> is_common_prefix1(X0,X1,X2,X3))), 2.72/2.93 inference(flattening,[],[f104])). 2.72/2.93 tff(f110,plain,( 2.72/2.93 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (? [X4 : $int] : (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(X4,1) = X5) & tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) & ~$less($sum(X2,X4),0) & $less($sum(X2,X4),X0) & ~$less($sum(X3,X4),0) & $less($sum(X3,X4),X0) & $less($sum(X3,X4),X0) & $less($sum(X2,X4),X0) & is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)) & ~$less(X2,0) & ~$less(X0,X3) & ~$less(X3,0) & ~$less(X0,X2) & ~$less(X0,0)) => (? [X4 : $int] : (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,X5) & $sum(X4,1) = X5) & tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,X4)))) = tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,X4)))) & ~$less($sum(sK2,X4),0) & $less($sum(sK2,X4),sK0) & ~$less($sum(sK3,X4),0) & $less($sum(sK3,X4),sK0) & $less($sum(sK3,X4),sK0) & $less($sum(sK2,X4),sK0) & is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,X4)) & ~$less(sK2,0) & ~$less(sK0,sK3) & ~$less(sK3,0) & ~$less(sK0,sK2) & ~$less(sK0,0))), 2.72/2.93 introduced(choice_axiom,[])). 2.72/2.93 tff(f111,plain,( 2.72/2.93 ( ! [X2:$int,X0:$int,X3:$int,X1:map_int_int] : (? [X4 : $int] : (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(X4,1) = X5) & tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) & ~$less($sum(X2,X4),0) & $less($sum(X2,X4),X0) & ~$less($sum(X3,X4),0) & $less($sum(X3,X4),X0) & $less($sum(X3,X4),X0) & $less($sum(X2,X4),X0) & is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X4)) => (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(sK4,1) = X5) & tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,sK4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,sK4)))) & ~$less($sum(X2,sK4),0) & $less($sum(X2,sK4),X0) & ~$less($sum(X3,sK4),0) & $less($sum(X3,sK4),X0) & $less($sum(X3,sK4),X0) & $less($sum(X2,sK4),X0) & is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,sK4))) )), 2.72/2.93 introduced(choice_axiom,[])). 2.72/2.93 tff(f112,plain,( 2.72/2.93 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:map_int_int] : (? [X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,X5) & $sum(X4,1) = X5) => (~is_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X1))),X2,X3,sK5) & $sum(X4,1) = sK5)) )), 2.72/2.93 introduced(choice_axiom,[])). 2.72/2.93 tff(f113,plain,( 2.72/2.93 ((~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5) & $sum(sK4,1) = sK5) & tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4)))) = tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4)))) & ~$less($sum(sK2,sK4),0) & $less($sum(sK2,sK4),sK0) & ~$less($sum(sK3,sK4),0) & $less($sum(sK3,sK4),sK0) & $less($sum(sK3,sK4),sK0) & $less($sum(sK2,sK4),sK0) & is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)) & ~$less(sK2,0) & ~$less(sK0,sK3) & ~$less(sK3,0) & ~$less(sK0,sK2) & ~$less(sK0,0)), 2.72/2.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f90,f112,f111,f110])). 2.72/2.93 tff(f114,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) | ~is_common_prefix1(X0,X1,X2,X3))) & ((! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4)) & is_common_prefix1(X0,X1,X2,X3)) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(nnf_transformation,[],[f103])). 2.72/2.93 tff(f115,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) | ~is_common_prefix1(X0,X1,X2,X3)) & ((! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4)) & is_common_prefix1(X0,X1,X2,X3)) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(flattening,[],[f114])). 2.72/2.93 tff(f116,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) | ~is_common_prefix1(X0,X1,X2,X3)) & ((! [X5 : $int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5)) & is_common_prefix1(X0,X1,X2,X3)) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(rectify,[],[f115])). 2.72/2.93 tff(f117,plain,( 2.72/2.93 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) => (is_common_prefix1(X0,X1,X2,sK6(X0,X1,X2,X3)) & $less(X3,sK6(X0,X1,X2,X3))))), 2.72/2.93 introduced(choice_axiom,[])). 2.72/2.93 tff(f118,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | (is_common_prefix1(X0,X1,X2,sK6(X0,X1,X2,X3)) & $less(X3,sK6(X0,X1,X2,X3))) | ~is_common_prefix1(X0,X1,X2,X3)) & ((! [X5 : $int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5)) & is_common_prefix1(X0,X1,X2,X3)) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.72/2.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f116,f117])). 2.72/2.93 tff(f119,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3))) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | ($less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)))))), 2.72/2.93 inference(nnf_transformation,[],[f105])). 2.72/2.93 tff(f120,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3))) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3))))), 2.72/2.93 inference(flattening,[],[f119])). 2.72/2.93 tff(f121,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3))) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3))))), 2.72/2.93 inference(rectify,[],[f120])). 2.72/2.93 tff(f122,plain,( 2.72/2.93 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) => (tb2t(get2(int,t2tb1(X0),$sum(X1,sK7(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK7(X0,X1,X2,X3)))) & ~$less(sK7(X0,X1,X2,X3),0) & $less(sK7(X0,X1,X2,X3),X3)))), 2.72/2.93 introduced(choice_axiom,[])). 2.72/2.93 tff(f123,plain,( 2.72/2.93 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(X3,0) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3))) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | (tb2t(get2(int,t2tb1(X0),$sum(X1,sK7(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK7(X0,X1,X2,X3)))) & ~$less(sK7(X0,X1,X2,X3),0) & $less(sK7(X0,X1,X2,X3),X3))))), 2.72/2.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f121,f122])). 2.72/2.93 tff(f125,plain,( 2.72/2.93 ~$less(sK0,0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f126,plain,( 2.72/2.93 ~$less(sK0,sK2)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f127,plain,( 2.72/2.93 ~$less(sK3,0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f128,plain,( 2.72/2.93 ~$less(sK0,sK3)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f129,plain,( 2.72/2.93 ~$less(sK2,0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f130,plain,( 2.72/2.93 is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f131,plain,( 2.72/2.93 $less($sum(sK2,sK4),sK0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f132,plain,( 2.72/2.93 $less($sum(sK3,sK4),sK0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f133,plain,( 2.72/2.93 $less($sum(sK3,sK4),sK0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f134,plain,( 2.72/2.93 ~$less($sum(sK3,sK4),0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f135,plain,( 2.72/2.93 $less($sum(sK2,sK4),sK0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f136,plain,( 2.72/2.93 ~$less($sum(sK2,sK4),0)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f137,plain,( 2.72/2.93 tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4)))) = tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4))))), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f138,plain,( 2.72/2.93 $sum(sK4,1) = sK5), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f139,plain,( 2.72/2.93 ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)), 2.72/2.93 inference(cnf_transformation,[],[f113])). 2.72/2.93 tff(f146,plain,( 2.72/2.93 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 2.72/2.93 inference(cnf_transformation,[],[f55])). 2.72/2.93 tff(f148,plain,( 2.72/2.93 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 2.72/2.93 inference(cnf_transformation,[],[f57])). 2.72/2.93 tff(f151,plain,( 2.72/2.93 ( ! [X0:map_int_int] : (sort1(map(int,int),t2tb2(X0))) )), 2.72/2.93 inference(cnf_transformation,[],[f60])). 2.72/2.93 tff(f162,plain,( 2.72/2.93 ( ! [X2:uni,X0:ty,X1:$int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 2.72/2.93 inference(cnf_transformation,[],[f71])). 2.72/2.93 tff(f165,plain,( 2.72/2.93 ( ! [X2:$int,X0:ty,X1:uni] : (get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)) )), 2.72/2.93 inference(cnf_transformation,[],[f28])). 2.72/2.93 tff(f166,plain,( 2.72/2.93 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 2.72/2.93 inference(cnf_transformation,[],[f94])). 2.72/2.93 tff(f169,plain,( 2.72/2.93 ( ! [X2:uni,X0:ty,X1:$int] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2)) )), 2.72/2.93 inference(cnf_transformation,[],[f97])). 2.72/2.93 tff(f175,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f100])). 2.72/2.93 tff(f176,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | ~$less($sum(X1,X3),length1(int,t2tb1(X0)))) )), 2.72/2.93 inference(cnf_transformation,[],[f102])). 2.72/2.93 tff(f177,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | ~is_longest_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f118])). 2.72/2.93 tff(f178,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X5:$int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5) | ~is_longest_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f118])). 2.72/2.93 tff(f179,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | $less(X3,sK6(X0,X1,X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f118])). 2.72/2.93 tff(f180,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,sK6(X0,X1,X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f118])). 2.72/2.93 tff(f181,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(sK7(X0,X1,X2,X3),X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f182,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~$less(sK7(X0,X1,X2,X3),0)) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f183,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get2(int,t2tb1(X0),$sum(X1,sK7(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK7(X0,X1,X2,X3))))) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f184,plain,( 2.72/2.93 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f185,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f186,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.93 inference(cnf_transformation,[],[f123])). 2.72/2.93 tff(f187,plain,( 2.72/2.93 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(X3,0) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.94 inference(cnf_transformation,[],[f123])). 2.72/2.94 tff(f194,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X3)))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | ~$less($sum(X1,X3),length1(int,t2tb1(X0)))) )), 2.72/2.94 inference(definition_unfolding,[],[f176,f165,f165])). 2.72/2.94 tff(f195,plain,( 2.72/2.94 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X4)))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.72/2.94 inference(definition_unfolding,[],[f184,f165,f165])). 2.72/2.94 tff(f196,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(X3,0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(X0,X1,X2,X3)))))) )), 2.72/2.94 inference(definition_unfolding,[],[f183,f165,f165])). 2.72/2.94 tff(f199,plain,( 2.72/2.94 spl8_1 <=> ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_1])])). 2.72/2.94 tff(f200,plain,( 2.72/2.94 ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5) | ~spl8_1), 2.72/2.94 inference(AVATAR_component_clause,[],[f199])). 2.72/2.94 tff(f201,plain,( 2.72/2.94 ~spl8_1), 2.72/2.94 inference(AVATAR_split_clause,[],[f139,f199])). 2.72/2.94 tff(f203,plain,( 2.72/2.94 spl8_2 <=> $sum(sK4,1) = sK5), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_2])])). 2.72/2.94 tff(f204,plain,( 2.72/2.94 $sum(sK4,1) = sK5 | ~spl8_2), 2.72/2.94 inference(AVATAR_component_clause,[],[f203])). 2.72/2.94 tff(f205,plain,( 2.72/2.94 spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f138,f203])). 2.72/2.94 tff(f207,plain,( 2.72/2.94 spl8_4 <=> tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4)))) = tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_4])])). 2.72/2.94 tff(f208,plain,( 2.72/2.94 tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4)))) = tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4)))) | ~spl8_4), 2.72/2.94 inference(AVATAR_component_clause,[],[f207])). 2.72/2.94 tff(f209,plain,( 2.72/2.94 spl8_4), 2.72/2.94 inference(AVATAR_split_clause,[],[f137,f207])). 2.72/2.94 tff(f211,plain,( 2.72/2.94 spl8_7 <=> ~$less($sum(sK2,sK4),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_7])])). 2.72/2.94 tff(f212,plain,( 2.72/2.94 ~$less($sum(sK2,sK4),0) | ~spl8_7), 2.72/2.94 inference(AVATAR_component_clause,[],[f211])). 2.72/2.94 tff(f213,plain,( 2.72/2.94 ~spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f136,f211])). 2.72/2.94 tff(f215,plain,( 2.72/2.94 spl8_8 <=> $less($sum(sK2,sK4),sK0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_8])])). 2.72/2.94 tff(f216,plain,( 2.72/2.94 $less($sum(sK2,sK4),sK0) | ~spl8_8), 2.72/2.94 inference(AVATAR_component_clause,[],[f215])). 2.72/2.94 tff(f217,plain,( 2.72/2.94 spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f135,f215])). 2.72/2.94 tff(f219,plain,( 2.72/2.94 spl8_11 <=> ~$less($sum(sK3,sK4),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_11])])). 2.72/2.94 tff(f220,plain,( 2.72/2.94 ~$less($sum(sK3,sK4),0) | ~spl8_11), 2.72/2.94 inference(AVATAR_component_clause,[],[f219])). 2.72/2.94 tff(f221,plain,( 2.72/2.94 ~spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f134,f219])). 2.72/2.94 tff(f223,plain,( 2.72/2.94 spl8_12 <=> $less($sum(sK3,sK4),sK0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_12])])). 2.72/2.94 tff(f224,plain,( 2.72/2.94 $less($sum(sK3,sK4),sK0) | ~spl8_12), 2.72/2.94 inference(AVATAR_component_clause,[],[f223])). 2.72/2.94 tff(f225,plain,( 2.72/2.94 spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f133,f223])). 2.72/2.94 tff(f226,plain,( 2.72/2.94 spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f132,f223])). 2.72/2.94 tff(f227,plain,( 2.72/2.94 spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f131,f215])). 2.72/2.94 tff(f229,plain,( 2.72/2.94 spl8_14 <=> is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_14])])). 2.72/2.94 tff(f230,plain,( 2.72/2.94 is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | ~spl8_14), 2.72/2.94 inference(AVATAR_component_clause,[],[f229])). 2.72/2.94 tff(f231,plain,( 2.72/2.94 spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f130,f229])). 2.72/2.94 tff(f233,plain,( 2.72/2.94 spl8_17 <=> ~$less(sK2,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_17])])). 2.72/2.94 tff(f234,plain,( 2.72/2.94 ~$less(sK2,0) | ~spl8_17), 2.72/2.94 inference(AVATAR_component_clause,[],[f233])). 2.72/2.94 tff(f235,plain,( 2.72/2.94 ~spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f129,f233])). 2.72/2.94 tff(f237,plain,( 2.72/2.94 spl8_19 <=> ~$less(sK0,sK3)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_19])])). 2.72/2.94 tff(f239,plain,( 2.72/2.94 ~spl8_19), 2.72/2.94 inference(AVATAR_split_clause,[],[f128,f237])). 2.72/2.94 tff(f241,plain,( 2.72/2.94 spl8_21 <=> ~$less(sK3,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_21])])). 2.72/2.94 tff(f242,plain,( 2.72/2.94 ~$less(sK3,0) | ~spl8_21), 2.72/2.94 inference(AVATAR_component_clause,[],[f241])). 2.72/2.94 tff(f243,plain,( 2.72/2.94 ~spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f127,f241])). 2.72/2.94 tff(f245,plain,( 2.72/2.94 spl8_23 <=> ~$less(sK0,sK2)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_23])])). 2.72/2.94 tff(f247,plain,( 2.72/2.94 ~spl8_23), 2.72/2.94 inference(AVATAR_split_clause,[],[f126,f245])). 2.72/2.94 tff(f249,plain,( 2.72/2.94 spl8_25 <=> ~$less(sK0,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_25])])). 2.72/2.94 tff(f250,plain,( 2.72/2.94 ~$less(sK0,0) | ~spl8_25), 2.72/2.94 inference(AVATAR_component_clause,[],[f249])). 2.72/2.94 tff(f251,plain,( 2.72/2.94 ~spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f125,f249])). 2.72/2.94 tff(f252,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK2) | $less(length1(int,t2tb1(X0)),$sum(X1,sK2)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK2)) | $less(sK7(X0,X1,X2,sK2),sK2)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f234,f181])). 2.72/2.94 tff(f253,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,sK2) | $less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | ~$less(sK7(X3,X4,X5,sK2),0)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f234,f182])). 2.72/2.94 tff(f254,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,sK2) | $less(length1(int,t2tb1(X6)),$sum(X7,sK2)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK2)))))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f234,f196])). 2.72/2.94 tff(f255,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(sK2,X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK2)))) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f234,f195])). 2.72/2.94 tff(f256,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum(sK2,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK2)))) | ~$less($sum(X15,sK2),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK2),length1(int,t2tb1(X13)))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f234,f194])). 2.72/2.94 tff(f260,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK3) | $less(length1(int,t2tb1(X0)),$sum(X1,sK3)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK3)) | $less(sK7(X0,X1,X2,sK3),sK3)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f242,f181])). 2.72/2.94 tff(f261,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,sK3) | $less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | ~$less(sK7(X3,X4,X5,sK3),0)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f242,f182])). 2.72/2.94 tff(f262,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,sK3) | $less(length1(int,t2tb1(X6)),$sum(X7,sK3)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK3)))))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f242,f196])). 2.72/2.94 tff(f263,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(sK3,X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f242,f195])). 2.72/2.94 tff(f264,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK3)))) | ~$less($sum(X15,sK3),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK3),length1(int,t2tb1(X13)))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f242,f194])). 2.72/2.94 tff(f268,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(sK7(X0,X1,X2,sK0),sK0)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f250,f181])). 2.72/2.94 tff(f269,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,sK0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | ~$less(sK7(X3,X4,X5,sK0),0)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f250,f182])). 2.72/2.94 tff(f270,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,sK0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0)))))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f250,f196])). 2.72/2.94 tff(f271,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(sK0,X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK0)))) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f250,f195])). 2.72/2.94 tff(f272,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK0)))) | ~$less($sum(X15,sK0),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK0),length1(int,t2tb1(X13)))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f250,f194])). 2.72/2.94 tff(f275,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK5) | $less(sK4,0) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~$less($sum(X2,sK4),length1(int,t2tb1(X0))) | ~$less($sum(X1,sK4),length1(int,t2tb1(X0)))) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f194,f204])). 2.72/2.94 tff(f276,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_longest_common_prefix1(X3,X4,X5,sK4) | is_common_prefix1(X3,X4,X5,sK5) | ~is_common_prefix1(X3,X4,X5,sK4)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f175,f204])). 2.72/2.94 tff(f277,plain,( 2.72/2.94 ( ! [X6:array_int,X7:$int] : ($less(length1(int,t2tb1(X6)),sK5) | is_common_prefix1(X6,X7,sK4,1) | $less(1,0) | $less(length1(int,t2tb1(X6)),$sum(X7,1)) | $less(sK7(X6,X7,sK4,1),1)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f181,f204])). 2.72/2.94 tff(f278,plain,( 2.72/2.94 ( ! [X8:array_int,X9:$int] : ($less(length1(int,t2tb1(X8)),sK5) | is_common_prefix1(X8,sK4,X9,1) | $less(1,0) | $less(length1(int,t2tb1(X8)),$sum(X9,1)) | $less(sK7(X8,sK4,X9,1),1)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f181,f204])). 2.72/2.94 tff(f279,plain,( 2.72/2.94 ( ! [X10:array_int,X11:$int] : ($less(length1(int,t2tb1(X10)),sK5) | is_common_prefix1(X10,X11,sK4,1) | $less(1,0) | $less(length1(int,t2tb1(X10)),$sum(X11,1)) | ~$less(sK7(X10,X11,sK4,1),0)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f182,f204])). 2.72/2.94 tff(f280,plain,( 2.72/2.94 ( ! [X12:array_int,X13:$int] : ($less(length1(int,t2tb1(X12)),sK5) | is_common_prefix1(X12,sK4,X13,1) | $less(1,0) | $less(length1(int,t2tb1(X12)),$sum(X13,1)) | ~$less(sK7(X12,sK4,X13,1),0)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f182,f204])). 2.72/2.94 tff(f287,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,1)))) | $less(1,0) | ~$less(1,X28) | ~is_common_prefix1(X26,X27,sK4,X28)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f195,f204])). 2.72/2.94 tff(f288,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,1)))) | $less(1,0) | ~$less(1,X31) | ~is_common_prefix1(X29,sK4,X30,X31)) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f195,f204])). 2.72/2.94 tff(f289,plain,( 2.72/2.94 ( ! [X33:$int,X32:array_int] : ($less(length1(int,t2tb1(X32)),sK5) | is_common_prefix1(X32,X33,sK4,1) | $less(1,0) | $less(length1(int,t2tb1(X32)),$sum(X33,1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(sK4,sK7(X32,X33,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,sK7(X32,X33,sK4,1)))))) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f196,f204])). 2.72/2.94 tff(f290,plain,( 2.72/2.94 ( ! [X35:$int,X34:array_int] : ($less(length1(int,t2tb1(X34)),sK5) | is_common_prefix1(X34,sK4,X35,1) | $less(1,0) | $less(length1(int,t2tb1(X34)),$sum(X35,1)) | tb2t(get(int,int,elts(int,t2tb1(X34)),t2tb($sum(sK4,sK7(X34,sK4,X35,1))))) != tb2t(get(int,int,elts(int,t2tb1(X34)),t2tb($sum(X35,sK7(X34,sK4,X35,1)))))) ) | ~spl8_2), 2.72/2.94 inference(superposition,[],[f196,f204])). 2.72/2.94 tff(f291,plain,( 2.72/2.94 ( ! [X35:$int,X34:array_int] : (is_common_prefix1(X34,sK4,X35,1) | $less(length1(int,t2tb1(X34)),sK5) | $less(length1(int,t2tb1(X34)),$sum(X35,1)) | tb2t(get(int,int,elts(int,t2tb1(X34)),t2tb($sum(sK4,sK7(X34,sK4,X35,1))))) != tb2t(get(int,int,elts(int,t2tb1(X34)),t2tb($sum(X35,sK7(X34,sK4,X35,1)))))) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f290])). 2.72/2.94 tff(f292,plain,( 2.72/2.94 ( ! [X33:$int,X32:array_int] : (is_common_prefix1(X32,X33,sK4,1) | $less(length1(int,t2tb1(X32)),sK5) | $less(length1(int,t2tb1(X32)),$sum(X33,1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(sK4,sK7(X32,X33,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,sK7(X32,X33,sK4,1)))))) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f289])). 2.72/2.94 tff(f293,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : (~$less(1,X31) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,1)))) | ~is_common_prefix1(X29,sK4,X30,X31)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f288])). 2.72/2.94 tff(f294,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : (~$less(1,X28) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,1)))) | ~is_common_prefix1(X26,X27,sK4,X28)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f287])). 2.72/2.94 tff(f299,plain,( 2.72/2.94 ( ! [X12:array_int,X13:$int] : (is_common_prefix1(X12,sK4,X13,1) | $less(length1(int,t2tb1(X12)),sK5) | $less(length1(int,t2tb1(X12)),$sum(X13,1)) | ~$less(sK7(X12,sK4,X13,1),0)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f280])). 2.72/2.94 tff(f300,plain,( 2.72/2.94 ( ! [X10:array_int,X11:$int] : (is_common_prefix1(X10,X11,sK4,1) | $less(length1(int,t2tb1(X10)),sK5) | $less(length1(int,t2tb1(X10)),$sum(X11,1)) | ~$less(sK7(X10,X11,sK4,1),0)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f279])). 2.72/2.94 tff(f301,plain,( 2.72/2.94 ( ! [X8:array_int,X9:$int] : (is_common_prefix1(X8,sK4,X9,1) | $less(length1(int,t2tb1(X8)),sK5) | $less(length1(int,t2tb1(X8)),$sum(X9,1)) | $less(sK7(X8,sK4,X9,1),1)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f278])). 2.72/2.94 tff(f302,plain,( 2.72/2.94 ( ! [X6:array_int,X7:$int] : (is_common_prefix1(X6,X7,sK4,1) | $less(length1(int,t2tb1(X6)),sK5) | $less(length1(int,t2tb1(X6)),$sum(X7,1)) | $less(sK7(X6,X7,sK4,1),1)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f277])). 2.72/2.94 tff(f304,plain,( 2.72/2.94 spl8_26 <=> $less(sK4,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_26])])). 2.72/2.94 tff(f307,plain,( 2.72/2.94 spl8_28 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (~is_common_prefix1(X0,X1,X2,sK5) | ~$less($sum(X1,sK4),length1(int,t2tb1(X0))) | ~$less($sum(X2,sK4),length1(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_28])])). 2.72/2.94 tff(f308,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK5) | ~$less($sum(X1,sK4),length1(int,t2tb1(X0))) | ~$less($sum(X2,sK4),length1(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl8_28), 2.72/2.94 inference(AVATAR_component_clause,[],[f307])). 2.72/2.94 tff(f309,plain,( 2.72/2.94 spl8_26 | spl8_28 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f275,f203,f307,f304])). 2.72/2.94 tff(f314,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK2,sK4))) | $less(sK7(X0,X1,X2,$sum(sK2,sK4)),$sum(sK2,sK4))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f212,f181])). 2.72/2.94 tff(f315,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,sK4))) | ~$less(sK7(X3,X4,X5,$sum(sK2,sK4)),0)) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f212,f182])). 2.72/2.94 tff(f316,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,$sum(sK2,sK4))))))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f212,f196])). 2.72/2.94 tff(f317,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,X12) | ~$less($sum(sK2,sK4),X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4)))))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f212,f195])). 2.72/2.94 tff(f318,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum($sum(sK2,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,$sum(sK2,sK4))))) | ~$less($sum(X15,$sum(sK2,sK4)),length1(int,t2tb1(X13))) | ~$less($sum(X14,$sum(sK2,sK4)),length1(int,t2tb1(X13)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f212,f194])). 2.72/2.94 tff(f321,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK2,sK4))))) | $less($sum(sK2,sK4),0) | ~is_common_prefix1(X0,X1,X2,sK0)) ) | ~spl8_8), 2.72/2.94 inference(resolution,[],[f216,f195])). 2.72/2.94 tff(f322,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(X3,X4,X5,sK0) | ~is_longest_common_prefix1(X3,X4,X5,$sum(sK2,sK4))) ) | ~spl8_8), 2.72/2.94 inference(resolution,[],[f216,f178])). 2.72/2.94 tff(f324,plain,( 2.72/2.94 spl8_6 <=> $less($sum(sK2,sK4),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_6])])). 2.72/2.94 tff(f327,plain,( 2.72/2.94 spl8_30 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK2,sK4))))) | ~is_common_prefix1(X0,X1,X2,sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_30])])). 2.72/2.94 tff(f328,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK0) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK2,sK4)))))) ) | ~spl8_30), 2.72/2.94 inference(AVATAR_component_clause,[],[f327])). 2.72/2.94 tff(f329,plain,( 2.72/2.94 spl8_6 | spl8_30 | ~spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f321,f215,f327,f324])). 2.72/2.94 tff(f330,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,sK4))) | $less(sK7(X0,X1,X2,$sum(sK3,sK4)),$sum(sK3,sK4))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f220,f181])). 2.72/2.94 tff(f331,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,sK4))) | ~$less(sK7(X3,X4,X5,$sum(sK3,sK4)),0)) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f220,f182])). 2.72/2.94 tff(f332,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,$sum(sK3,sK4))))))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f220,f196])). 2.72/2.94 tff(f333,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,X12) | ~$less($sum(sK3,sK4),X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK3,sK4)))))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f220,f195])). 2.72/2.94 tff(f334,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum($sum(sK3,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,$sum(sK3,sK4))))) | ~$less($sum(X15,$sum(sK3,sK4)),length1(int,t2tb1(X13))) | ~$less($sum(X14,$sum(sK3,sK4)),length1(int,t2tb1(X13)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f220,f194])). 2.72/2.94 tff(f337,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK3,sK4))))) | $less($sum(sK3,sK4),0) | ~is_common_prefix1(X0,X1,X2,sK0)) ) | ~spl8_12), 2.72/2.94 inference(resolution,[],[f224,f195])). 2.72/2.94 tff(f338,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(X3,X4,X5,sK0) | ~is_longest_common_prefix1(X3,X4,X5,$sum(sK3,sK4))) ) | ~spl8_12), 2.72/2.94 inference(resolution,[],[f224,f178])). 2.72/2.94 tff(f340,plain,( 2.72/2.94 spl8_10 <=> $less($sum(sK3,sK4),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_10])])). 2.72/2.94 tff(f343,plain,( 2.72/2.94 spl8_32 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK3,sK4))))) | ~is_common_prefix1(X0,X1,X2,sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_32])])). 2.72/2.94 tff(f344,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK0) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,$sum(sK3,sK4)))))) ) | ~spl8_32), 2.72/2.94 inference(AVATAR_component_clause,[],[f343])). 2.72/2.94 tff(f345,plain,( 2.72/2.94 spl8_10 | spl8_32 | ~spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f337,f223,f343,f340])). 2.72/2.94 tff(f346,plain,( 2.72/2.94 $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,sK5)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_1), 2.72/2.94 inference(resolution,[],[f200,f181])). 2.72/2.94 tff(f347,plain,( 2.72/2.94 $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,sK5)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_1), 2.72/2.94 inference(resolution,[],[f200,f182])). 2.72/2.94 tff(f348,plain,( 2.72/2.94 $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,sK5)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_1), 2.72/2.94 inference(resolution,[],[f200,f196])). 2.72/2.94 tff(f349,plain,( 2.72/2.94 ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5) | ~spl8_1), 2.72/2.94 inference(resolution,[],[f200,f177])). 2.72/2.94 tff(f350,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f346,f146])). 2.72/2.94 tff(f351,plain,( 2.72/2.94 $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f350,f162])). 2.72/2.94 tff(f352,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f351,f146])). 2.72/2.94 tff(f353,plain,( 2.72/2.94 $less(sK0,$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f352,f162])). 2.72/2.94 tff(f355,plain,( 2.72/2.94 spl8_34 <=> $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_34])])). 2.72/2.94 tff(f356,plain,( 2.72/2.94 $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK5) | ~spl8_34), 2.72/2.94 inference(AVATAR_component_clause,[],[f355])). 2.72/2.94 tff(f358,plain,( 2.72/2.94 spl8_36 <=> $less(sK5,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_36])])). 2.72/2.94 tff(f361,plain,( 2.72/2.94 spl8_38 <=> $less(sK0,$sum(sK2,sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_38])])). 2.72/2.94 tff(f364,plain,( 2.72/2.94 spl8_40 <=> $less(sK0,$sum(sK3,sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_40])])). 2.72/2.94 tff(f366,plain,( 2.72/2.94 spl8_34 | spl8_36 | spl8_38 | spl8_40 | spl8_1), 2.72/2.94 inference(AVATAR_split_clause,[],[f353,f199,f364,f361,f358,f355])). 2.72/2.94 tff(f367,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f347,f146])). 2.72/2.94 tff(f368,plain,( 2.72/2.94 $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f367,f162])). 2.72/2.94 tff(f369,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f368,f146])). 2.72/2.94 tff(f370,plain,( 2.72/2.94 $less(sK0,$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f369,f162])). 2.72/2.94 tff(f372,plain,( 2.72/2.94 spl8_43 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_43])])). 2.72/2.94 tff(f373,plain,( 2.72/2.94 ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~spl8_43), 2.72/2.94 inference(AVATAR_component_clause,[],[f372])). 2.72/2.94 tff(f374,plain,( 2.72/2.94 ~spl8_43 | spl8_36 | spl8_38 | spl8_40 | spl8_1), 2.72/2.94 inference(AVATAR_split_clause,[],[f370,f199,f364,f361,f358,f372])). 2.72/2.94 tff(f375,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f348,f146])). 2.72/2.94 tff(f376,plain,( 2.72/2.94 $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK5)) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f375,f162])). 2.72/2.94 tff(f377,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f376,f146])). 2.72/2.94 tff(f378,plain,( 2.72/2.94 $less(sK0,$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f377,f162])). 2.72/2.94 tff(f379,plain,( 2.72/2.94 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK0,$sum(sK3,sK5)) | $less(sK0,$sum(sK2,sK5)) | $less(sK5,0) | ~spl8_1), 2.72/2.94 inference(forward_demodulation,[],[f378,f146])). 2.72/2.94 tff(f381,plain,( 2.72/2.94 spl8_45 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_45])])). 2.72/2.94 tff(f382,plain,( 2.72/2.94 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~spl8_45), 2.72/2.94 inference(AVATAR_component_clause,[],[f381])). 2.72/2.94 tff(f383,plain,( 2.72/2.94 spl8_36 | spl8_38 | spl8_40 | ~spl8_45 | spl8_1), 2.72/2.94 inference(AVATAR_split_clause,[],[f379,f199,f381,f364,f361,f358])). 2.72/2.94 tff(f385,plain,( 2.72/2.94 spl8_47 <=> ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_47])])). 2.72/2.94 tff(f387,plain,( 2.72/2.94 ~spl8_47 | spl8_1), 2.72/2.94 inference(AVATAR_split_clause,[],[f349,f199,f385])). 2.72/2.94 tff(f388,plain,( 2.72/2.94 is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK4,1)) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f175])). 2.72/2.94 tff(f389,plain,( 2.72/2.94 ( ! [X0:$int] : (~$less(X0,sK4) | ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,X0)) ) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f178])). 2.72/2.94 tff(f390,plain,( 2.72/2.94 is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | $less(sK4,sK6(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f179])). 2.72/2.94 tff(f391,plain,( 2.72/2.94 is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f180])). 2.72/2.94 tff(f392,plain,( 2.72/2.94 ~$less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,sK4)) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f185])). 2.72/2.94 tff(f393,plain,( 2.72/2.94 ~$less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,sK4)) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f186])). 2.72/2.94 tff(f394,plain,( 2.72/2.94 ~$less(sK4,0) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f187])). 2.72/2.94 tff(f395,plain,( 2.72/2.94 ( ! [X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,X1)))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,X1)))) | $less(X1,0) | ~$less(X1,sK4)) ) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f230,f195])). 2.72/2.94 tff(f396,plain,( 2.72/2.94 is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5) | is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | (~spl8_2 | ~spl8_14)), 2.72/2.94 inference(forward_demodulation,[],[f388,f204])). 2.72/2.94 tff(f398,plain,( 2.72/2.94 spl8_48 <=> is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_48])])). 2.72/2.94 tff(f399,plain,( 2.72/2.94 is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4) | ~spl8_48), 2.72/2.94 inference(AVATAR_component_clause,[],[f398])). 2.72/2.94 tff(f401,plain,( 2.72/2.94 spl8_0 <=> is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_0])])). 2.72/2.94 tff(f403,plain,( 2.72/2.94 spl8_48 | spl8_0 | ~spl8_2 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f396,f229,f203,f401,f398])). 2.72/2.94 tff(f405,plain,( 2.72/2.94 spl8_50 <=> $less(sK4,sK6(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_50])])). 2.72/2.94 tff(f407,plain,( 2.72/2.94 spl8_50 | spl8_48 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f390,f229,f398,f405])). 2.72/2.94 tff(f409,plain,( 2.72/2.94 spl8_52 <=> is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_52])])). 2.72/2.94 tff(f411,plain,( 2.72/2.94 spl8_52 | spl8_48 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f391,f229,f398,f409])). 2.72/2.94 tff(f412,plain,( 2.72/2.94 ~$less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,sK4)) | ~spl8_14), 2.72/2.94 inference(forward_demodulation,[],[f392,f146])). 2.72/2.94 tff(f413,plain,( 2.72/2.94 ~$less(sK0,$sum(sK3,sK4)) | ~spl8_14), 2.72/2.94 inference(forward_demodulation,[],[f412,f162])). 2.72/2.94 tff(f415,plain,( 2.72/2.94 spl8_55 <=> ~$less(sK0,$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_55])])). 2.72/2.94 tff(f417,plain,( 2.72/2.94 ~spl8_55 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f413,f229,f415])). 2.72/2.94 tff(f418,plain,( 2.72/2.94 ~$less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,sK4)) | ~spl8_14), 2.72/2.94 inference(forward_demodulation,[],[f393,f146])). 2.72/2.94 tff(f419,plain,( 2.72/2.94 ~$less(sK0,$sum(sK2,sK4)) | ~spl8_14), 2.72/2.94 inference(forward_demodulation,[],[f418,f162])). 2.72/2.94 tff(f421,plain,( 2.72/2.94 spl8_57 <=> ~$less(sK0,$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_57])])). 2.72/2.94 tff(f423,plain,( 2.72/2.94 ~spl8_57 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f419,f229,f421])). 2.72/2.94 tff(f425,plain,( 2.72/2.94 spl8_27 <=> ~$less(sK4,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_27])])). 2.72/2.94 tff(f426,plain,( 2.72/2.94 ~$less(sK4,0) | ~spl8_27), 2.72/2.94 inference(AVATAR_component_clause,[],[f425])). 2.72/2.94 tff(f427,plain,( 2.72/2.94 ~spl8_27 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f394,f229,f425])). 2.72/2.94 tff(f428,plain,( 2.72/2.94 ( ! [X1:$int] : (~$less(X1,sK4) | $less(X1,0) | tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,X1)))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,X1))))) ) | ~spl8_14), 2.72/2.94 inference(forward_demodulation,[],[f395,f146])). 2.72/2.94 tff(f429,plain,( 2.72/2.94 get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4))) = t2tb(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4))))) | ~spl8_4), 2.72/2.94 inference(superposition,[],[f148,f208])). 2.72/2.94 tff(f430,plain,( 2.72/2.94 get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4))) = get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4))) | ~spl8_4), 2.72/2.94 inference(forward_demodulation,[],[f429,f148])). 2.72/2.94 tff(f432,plain,( 2.72/2.94 spl8_58 <=> get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK4))) = get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_58])])). 2.72/2.94 tff(f434,plain,( 2.72/2.94 spl8_58 | ~spl8_4), 2.72/2.94 inference(AVATAR_split_clause,[],[f430,f207,f432])). 2.72/2.94 tff(f435,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK4) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4)) | $less(sK7(X0,X1,X2,sK4),sK4)) ) | ~spl8_27), 2.72/2.94 inference(resolution,[],[f426,f181])). 2.72/2.94 tff(f436,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,sK4) | $less(length1(int,t2tb1(X3)),$sum(X4,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK4)) | ~$less(sK7(X3,X4,X5,sK4),0)) ) | ~spl8_27), 2.72/2.94 inference(resolution,[],[f426,f182])). 2.72/2.94 tff(f437,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,sK4) | $less(length1(int,t2tb1(X6)),$sum(X7,sK4)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK4)))))) ) | ~spl8_27), 2.72/2.94 inference(resolution,[],[f426,f196])). 2.72/2.94 tff(f438,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(sK4,X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK4)))) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_27), 2.72/2.94 inference(resolution,[],[f426,f195])). 2.72/2.94 tff(f457,plain,( 2.72/2.94 ( ! [X0:$int] : (~$less(sK4,X0) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,X0)) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f399,f178])). 2.72/2.94 tff(f480,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK2,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(sK7(X0,X1,X2,sK0),sK0)) ) | ~spl8_8), 2.72/2.94 inference(resolution,[],[f322,f181])). 2.72/2.94 tff(f481,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK2,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | ~$less(sK7(X3,X4,X5,sK0),0)) ) | ~spl8_8), 2.72/2.94 inference(resolution,[],[f322,f182])). 2.72/2.94 tff(f482,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK2,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0)))))) ) | ~spl8_8), 2.72/2.94 inference(resolution,[],[f322,f196])). 2.72/2.94 tff(f485,plain,( 2.72/2.94 spl8_24 <=> $less(sK0,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_24])])). 2.72/2.94 tff(f488,plain,( 2.72/2.94 spl8_60 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK2,sK4)) | $less(sK7(X0,X1,X2,sK0),sK0) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_60])])). 2.72/2.94 tff(f489,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK2,sK4)) | $less(sK7(X0,X1,X2,sK0),sK0) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0))) ) | ~spl8_60), 2.72/2.94 inference(AVATAR_component_clause,[],[f488])). 2.72/2.94 tff(f490,plain,( 2.72/2.94 spl8_24 | spl8_60 | ~spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f480,f215,f488,f485])). 2.72/2.94 tff(f492,plain,( 2.72/2.94 spl8_62 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK2,sK4)) | ~$less(sK7(X3,X4,X5,sK0),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_62])])). 2.72/2.94 tff(f493,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK2,sK4)) | ~$less(sK7(X3,X4,X5,sK0),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0))) ) | ~spl8_62), 2.72/2.94 inference(AVATAR_component_clause,[],[f492])). 2.72/2.94 tff(f494,plain,( 2.72/2.94 spl8_24 | spl8_62 | ~spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f481,f215,f492,f485])). 2.72/2.94 tff(f496,plain,( 2.72/2.94 spl8_64 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_64])])). 2.72/2.94 tff(f497,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0))) ) | ~spl8_64), 2.72/2.94 inference(AVATAR_component_clause,[],[f496])). 2.72/2.94 tff(f498,plain,( 2.72/2.94 spl8_24 | spl8_64 | ~spl8_8), 2.72/2.94 inference(AVATAR_split_clause,[],[f482,f215,f496,f485])). 2.72/2.94 tff(f501,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK3,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(sK7(X0,X1,X2,sK0),sK0)) ) | ~spl8_12), 2.72/2.94 inference(resolution,[],[f338,f181])). 2.72/2.94 tff(f502,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK3,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | ~$less(sK7(X3,X4,X5,sK0),0)) ) | ~spl8_12), 2.72/2.94 inference(resolution,[],[f338,f182])). 2.72/2.94 tff(f503,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK3,sK4)) | $less(sK0,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0)))))) ) | ~spl8_12), 2.72/2.94 inference(resolution,[],[f338,f196])). 2.72/2.94 tff(f506,plain,( 2.72/2.94 spl8_66 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK3,sK4)) | $less(sK7(X0,X1,X2,sK0),sK0) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_66])])). 2.72/2.94 tff(f507,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,$sum(sK3,sK4)) | $less(sK7(X0,X1,X2,sK0),sK0) | $less(length1(int,t2tb1(X0)),$sum(X2,sK0)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK0))) ) | ~spl8_66), 2.72/2.94 inference(AVATAR_component_clause,[],[f506])). 2.72/2.94 tff(f508,plain,( 2.72/2.94 spl8_24 | spl8_66 | ~spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f501,f223,f506,f485])). 2.72/2.94 tff(f510,plain,( 2.72/2.94 spl8_68 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK3,sK4)) | ~$less(sK7(X3,X4,X5,sK0),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_68])])). 2.72/2.94 tff(f511,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,$sum(sK3,sK4)) | ~$less(sK7(X3,X4,X5,sK0),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK0))) ) | ~spl8_68), 2.72/2.94 inference(AVATAR_component_clause,[],[f510])). 2.72/2.94 tff(f512,plain,( 2.72/2.94 spl8_24 | spl8_68 | ~spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f502,f223,f510,f485])). 2.72/2.94 tff(f514,plain,( 2.72/2.94 spl8_70 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_70])])). 2.72/2.94 tff(f515,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0))) ) | ~spl8_70), 2.72/2.94 inference(AVATAR_component_clause,[],[f514])). 2.72/2.94 tff(f516,plain,( 2.72/2.94 spl8_24 | spl8_70 | ~spl8_12), 2.72/2.94 inference(AVATAR_split_clause,[],[f503,f223,f514,f485])). 2.72/2.94 tff(f521,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0) | ~is_common_prefix1(X0,X1,X2,sK5)) ) | ~spl8_34), 2.72/2.94 inference(resolution,[],[f356,f195])). 2.72/2.94 tff(f522,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(X3,X4,X5,sK5) | ~is_longest_common_prefix1(X3,X4,X5,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))) ) | ~spl8_34), 2.72/2.94 inference(resolution,[],[f356,f178])). 2.72/2.94 tff(f524,plain,( 2.72/2.94 spl8_42 <=> $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_42])])). 2.72/2.94 tff(f527,plain,( 2.72/2.94 spl8_72 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~is_common_prefix1(X0,X1,X2,sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_72])])). 2.72/2.94 tff(f528,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)))))) ) | ~spl8_72), 2.72/2.94 inference(AVATAR_component_clause,[],[f527])). 2.72/2.94 tff(f529,plain,( 2.72/2.94 spl8_42 | spl8_72 | ~spl8_34), 2.72/2.94 inference(AVATAR_split_clause,[],[f521,f355,f527,f524])). 2.72/2.94 tff(f533,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,X12) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)))))) ) | ~spl8_43), 2.72/2.94 inference(resolution,[],[f373,f195])). 2.72/2.94 tff(f542,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X3:$int] : (~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X2,X3,X4,sK4)) | is_common_prefix1(X2,X3,X4,sK4) | $less(sK4,0) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4))) ) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f389,f181])). 2.72/2.94 tff(f544,plain,( 2.72/2.94 spl8_74 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : (~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X2,X3,X4,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4)) | is_common_prefix1(X2,X3,X4,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_74])])). 2.72/2.94 tff(f545,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X3:$int] : (~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X2,X3,X4,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4)) | is_common_prefix1(X2,X3,X4,sK4)) ) | ~spl8_74), 2.72/2.94 inference(AVATAR_component_clause,[],[f544])). 2.72/2.94 tff(f546,plain,( 2.72/2.94 spl8_26 | spl8_74 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f542,f229,f544,f304])). 2.72/2.94 tff(f551,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(X3,X4,X5,sK4) | is_common_prefix1(X3,X4,X5,sK5) | ~is_common_prefix1(X3,X4,X5,X6) | ~$less(sK4,X6)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f276,f178])). 2.72/2.94 tff(f555,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | ~$less(sK7(X2,sK4,X3,1),0) | is_longest_common_prefix1(X2,sK4,X3,1) | is_common_prefix1(X2,sK4,X3,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f299,f175])). 2.72/2.94 tff(f557,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,sK4,X8,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | ~$less(sK7(X7,sK4,X8,1),0) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,sK4,X8,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f299,f179])). 2.72/2.94 tff(f564,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,sK4,X3,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | ~$less(sK7(X2,sK4,X3,1),0) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,sK4,X3,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f555])). 2.72/2.94 tff(f570,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | ~$less(sK7(X2,X3,sK4,1),0) | is_longest_common_prefix1(X2,X3,sK4,1) | is_common_prefix1(X2,X3,sK4,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f300,f175])). 2.72/2.94 tff(f572,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,X8,sK4,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | ~$less(sK7(X7,X8,sK4,1),0) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,X8,sK4,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f300,f179])). 2.72/2.94 tff(f579,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,X3,sK4,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | ~$less(sK7(X2,X3,sK4,1),0) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,X3,sK4,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f570])). 2.72/2.94 tff(f582,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(sK7(X2,sK4,X3,1),1) | is_longest_common_prefix1(X2,sK4,X3,1) | is_common_prefix1(X2,sK4,X3,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f301,f175])). 2.72/2.94 tff(f584,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,sK4,X8,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(sK7(X7,sK4,X8,1),1) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,sK4,X8,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f301,f179])). 2.72/2.94 tff(f591,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,sK4,X3,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(sK7(X2,sK4,X3,1),1) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,sK4,X3,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f582])). 2.72/2.94 tff(f597,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(sK7(X2,X3,sK4,1),1) | is_longest_common_prefix1(X2,X3,sK4,1) | is_common_prefix1(X2,X3,sK4,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f302,f175])). 2.72/2.94 tff(f599,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,X8,sK4,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(sK7(X7,X8,sK4,1),1) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,X8,sK4,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f302,f179])). 2.72/2.94 tff(f606,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,X3,sK4,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(sK7(X2,X3,sK4,1),1) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,X3,sK4,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f597])). 2.72/2.94 tff(f608,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum(sK2,1)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK2)) | $less(sK7(X0,X1,X2,sK2),sK2) | is_longest_common_prefix1(X0,X1,X2,sK2) | $less(length1(int,t2tb1(X0)),$sum(X1,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f252,f175])). 2.72/2.94 tff(f609,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK2) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | $less(sK7(X3,X4,X5,sK2),sK2) | $less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f252,f178])). 2.72/2.94 tff(f610,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,sK2) | $less(length1(int,t2tb1(X7)),$sum(X9,sK2)) | $less(sK7(X7,X8,X9,sK2),sK2) | $less(length1(int,t2tb1(X7)),$sum(X8,sK2)) | $less(sK2,sK6(X7,X8,X9,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f252,f179])). 2.72/2.94 tff(f615,plain,( 2.72/2.94 ( ! [X24:$int,X23:$int,X25:$int,X22:array_int] : (~$less(X25,sK2) | $less(length1(int,t2tb1(X22)),$sum(X24,sK2)) | $less(sK7(X22,X23,X24,sK2),sK2) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,X25)))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X24,X25)))) | $less(X25,0) | $less(length1(int,t2tb1(X22)),$sum(X23,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f252,f195])). 2.72/2.94 tff(f616,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | is_common_prefix1(X0,X1,X2,sK4) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4)) | $less(sK7(X0,X1,X2,sK4),sK4)) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f181])). 2.72/2.94 tff(f617,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | is_common_prefix1(X3,X4,X5,sK4) | $less(length1(int,t2tb1(X3)),$sum(X4,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK4)) | ~$less(sK7(X3,X4,X5,sK4),0)) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f182])). 2.72/2.94 tff(f618,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | is_common_prefix1(X6,X7,X8,sK4) | $less(length1(int,t2tb1(X6)),$sum(X7,sK4)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK4)))))) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f196])). 2.72/2.94 tff(f619,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK4)))) | ~$less(sK4,X12) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f195])). 2.72/2.94 tff(f620,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | ~is_common_prefix1(X13,X14,X15,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK4)))) | ~$less($sum(X15,sK4),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK4),length1(int,t2tb1(X13)))) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f194])). 2.72/2.94 tff(f623,plain,( 2.72/2.94 ( ! [X21:$int,X22:$int,X20:array_int] : (~is_common_prefix1(X20,X21,X22,sK4) | is_longest_common_prefix1(X20,X21,X22,sK4) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X20,X21,X22,sK4))) ) | ~spl8_48), 2.72/2.94 inference(resolution,[],[f457,f179])). 2.72/2.94 tff(f625,plain,( 2.72/2.94 spl8_76 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (is_common_prefix1(X0,X1,X2,sK4) | $less(sK7(X0,X1,X2,sK4),sK4) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_76])])). 2.72/2.94 tff(f628,plain,( 2.72/2.94 spl8_79 <=> ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_79])])). 2.72/2.94 tff(f629,plain,( 2.72/2.94 ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | ~spl8_79), 2.72/2.94 inference(AVATAR_component_clause,[],[f628])). 2.72/2.94 tff(f630,plain,( 2.72/2.94 spl8_76 | ~spl8_79 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f616,f398,f628,f625])). 2.72/2.94 tff(f632,plain,( 2.72/2.94 spl8_80 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (is_common_prefix1(X3,X4,X5,sK4) | ~$less(sK7(X3,X4,X5,sK4),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_80])])). 2.72/2.94 tff(f634,plain,( 2.72/2.94 spl8_80 | ~spl8_79 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f617,f398,f628,f632])). 2.72/2.94 tff(f636,plain,( 2.72/2.94 spl8_82 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (is_common_prefix1(X6,X7,X8,sK4) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK4))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK4)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_82])])). 2.72/2.94 tff(f638,plain,( 2.72/2.94 spl8_82 | ~spl8_79 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f618,f398,f628,f636])). 2.72/2.94 tff(f640,plain,( 2.72/2.94 spl8_84 <=> ! [X9 : array_int,X11 : $int,X10 : $int,X12 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK4)))) | ~is_common_prefix1(X9,X10,X11,X12) | ~$less(sK4,X12))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_84])])). 2.72/2.94 tff(f642,plain,( 2.72/2.94 spl8_84 | ~spl8_79 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f619,f398,f628,f640])). 2.72/2.94 tff(f643,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,sK5) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK4)))) | ~$less($sum(X15,sK4),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK4),length1(int,t2tb1(X13)))) ) | (~spl8_2 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f620,f204])). 2.72/2.94 tff(f644,plain,( 2.72/2.94 ~spl8_79 | spl8_28 | ~spl8_2 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f643,f398,f203,f307,f628])). 2.72/2.94 tff(f646,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK2) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | ~$less(sK7(X3,X4,X5,sK2),0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f253,f178])). 2.72/2.94 tff(f647,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,sK2) | $less(length1(int,t2tb1(X7)),$sum(X9,sK2)) | ~$less(sK7(X7,X8,X9,sK2),0) | $less(length1(int,t2tb1(X7)),$sum(X8,sK2)) | $less(sK2,sK6(X7,X8,X9,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f253,f179])). 2.72/2.94 tff(f652,plain,( 2.72/2.94 ( ! [X24:$int,X23:$int,X25:$int,X22:array_int] : (~$less(X25,sK2) | $less(length1(int,t2tb1(X22)),$sum(X24,sK2)) | ~$less(sK7(X22,X23,X24,sK2),0) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,X25)))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X24,X25)))) | $less(X25,0) | $less(length1(int,t2tb1(X22)),$sum(X23,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f253,f195])). 2.72/2.94 tff(f653,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK3)) | $less(sK7(X0,X1,X2,sK3),sK3) | is_longest_common_prefix1(X0,X1,X2,sK3) | $less(length1(int,t2tb1(X0)),$sum(X1,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f260,f175])). 2.72/2.94 tff(f654,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK3) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | $less(sK7(X3,X4,X5,sK3),sK3) | $less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f260,f178])). 2.72/2.94 tff(f655,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,sK3) | $less(length1(int,t2tb1(X7)),$sum(X9,sK3)) | $less(sK7(X7,X8,X9,sK3),sK3) | $less(length1(int,t2tb1(X7)),$sum(X8,sK3)) | $less(sK3,sK6(X7,X8,X9,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f260,f179])). 2.72/2.94 tff(f660,plain,( 2.72/2.94 ( ! [X24:$int,X23:$int,X25:$int,X22:array_int] : (~$less(X25,sK3) | $less(length1(int,t2tb1(X22)),$sum(X24,sK3)) | $less(sK7(X22,X23,X24,sK3),sK3) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,X25)))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X24,X25)))) | $less(X25,0) | $less(length1(int,t2tb1(X22)),$sum(X23,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f260,f195])). 2.72/2.94 tff(f661,plain,( 2.72/2.94 $less(0,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,0)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,0)) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(resolution,[],[f629,f181])). 2.72/2.94 tff(f662,plain,( 2.72/2.94 $less(0,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,0)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,0)) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(resolution,[],[f629,f182])). 2.72/2.94 tff(f663,plain,( 2.72/2.94 $less(0,0) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,0)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,0)) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(resolution,[],[f629,f196])). 2.72/2.94 tff(f664,plain,( 2.72/2.94 ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0) | ~spl8_79), 2.72/2.94 inference(resolution,[],[f629,f177])). 2.72/2.94 tff(f665,plain,( 2.72/2.94 $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(evaluation,[],[f663])). 2.72/2.94 tff(f666,plain,( 2.72/2.94 $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(evaluation,[],[f662])). 2.72/2.94 tff(f667,plain,( 2.72/2.94 $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(evaluation,[],[f661])). 2.72/2.94 tff(f668,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f667,f146])). 2.72/2.94 tff(f669,plain,( 2.72/2.94 $less(sK0,sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f668,f162])). 2.72/2.94 tff(f670,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK3) | $less(sK0,sK2) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f669,f146])). 2.72/2.94 tff(f671,plain,( 2.72/2.94 $less(sK0,sK3) | $less(sK0,sK2) | $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f670,f162])). 2.72/2.94 tff(f673,plain,( 2.72/2.94 spl8_86 <=> $less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_86])])). 2.72/2.94 tff(f676,plain,( 2.72/2.94 spl8_22 <=> $less(sK0,sK2)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_22])])). 2.72/2.94 tff(f679,plain,( 2.72/2.94 spl8_18 <=> $less(sK0,sK3)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_18])])). 2.72/2.94 tff(f681,plain,( 2.72/2.94 spl8_86 | spl8_22 | spl8_18 | spl8_79), 2.72/2.94 inference(AVATAR_split_clause,[],[f671,f628,f679,f676,f673])). 2.72/2.94 tff(f682,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f666,f146])). 2.72/2.94 tff(f683,plain,( 2.72/2.94 $less(sK0,sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f682,f162])). 2.72/2.94 tff(f684,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK3) | $less(sK0,sK2) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f683,f146])). 2.72/2.94 tff(f685,plain,( 2.72/2.94 $less(sK0,sK3) | $less(sK0,sK2) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f684,f162])). 2.72/2.94 tff(f687,plain,( 2.72/2.94 spl8_87 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_87])])). 2.72/2.94 tff(f689,plain,( 2.72/2.94 ~spl8_87 | spl8_22 | spl8_18 | spl8_79), 2.72/2.94 inference(AVATAR_split_clause,[],[f685,f628,f679,f676,f687])). 2.72/2.94 tff(f690,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f665,f146])). 2.72/2.94 tff(f691,plain,( 2.72/2.94 $less(sK0,sK2) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),sK3) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f690,f162])). 2.72/2.94 tff(f692,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),sK3) | $less(sK0,sK2) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f691,f146])). 2.72/2.94 tff(f693,plain,( 2.72/2.94 $less(sK0,sK3) | $less(sK0,sK2) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f692,f162])). 2.72/2.94 tff(f694,plain,( 2.72/2.94 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) | $less(sK0,sK3) | $less(sK0,sK2) | ~spl8_79), 2.72/2.94 inference(forward_demodulation,[],[f693,f146])). 2.72/2.94 tff(f696,plain,( 2.72/2.94 spl8_89 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_89])])). 2.72/2.94 tff(f698,plain,( 2.72/2.94 spl8_22 | spl8_18 | ~spl8_89 | spl8_79), 2.72/2.94 inference(AVATAR_split_clause,[],[f694,f628,f696,f679,f676])). 2.72/2.94 tff(f700,plain,( 2.72/2.94 spl8_91 <=> ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_91])])). 2.72/2.94 tff(f702,plain,( 2.72/2.94 ~spl8_91 | spl8_79), 2.72/2.94 inference(AVATAR_split_clause,[],[f664,f628,f700])). 2.72/2.94 tff(f704,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK3) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | ~$less(sK7(X3,X4,X5,sK3),0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f261,f178])). 2.72/2.94 tff(f705,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,sK3) | $less(length1(int,t2tb1(X7)),$sum(X9,sK3)) | ~$less(sK7(X7,X8,X9,sK3),0) | $less(length1(int,t2tb1(X7)),$sum(X8,sK3)) | $less(sK3,sK6(X7,X8,X9,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f261,f179])). 2.72/2.94 tff(f710,plain,( 2.72/2.94 ( ! [X24:$int,X23:$int,X25:$int,X22:array_int] : (~$less(X25,sK3) | $less(length1(int,t2tb1(X22)),$sum(X24,sK3)) | ~$less(sK7(X22,X23,X24,sK3),0) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,X25)))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X24,X25)))) | $less(X25,0) | $less(length1(int,t2tb1(X22)),$sum(X23,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f261,f195])). 2.72/2.94 tff(f713,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (is_common_prefix1(X6,X7,X8,$sum(sK0,1)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(sK7(X6,X7,X8,sK0),sK0) | is_longest_common_prefix1(X6,X7,X8,sK0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f268,f175])). 2.72/2.94 tff(f714,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(X12,sK0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | ~is_longest_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f268,f178])). 2.72/2.94 tff(f715,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (is_longest_common_prefix1(X13,X14,X15,sK0) | $less(length1(int,t2tb1(X13)),$sum(X15,sK0)) | $less(sK7(X13,X14,X15,sK0),sK0) | $less(length1(int,t2tb1(X13)),$sum(X14,sK0)) | $less(sK0,sK6(X13,X14,X15,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f268,f179])). 2.72/2.94 tff(f720,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X31:$int,X29:$int] : (~$less(X31,sK0) | $less(length1(int,t2tb1(X28)),$sum(X30,sK0)) | $less(sK7(X28,X29,X30,sK0),sK0) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,X31)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,X31)))) | $less(X31,0) | $less(length1(int,t2tb1(X28)),$sum(X29,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f268,f195])). 2.72/2.94 tff(f725,plain,( 2.72/2.94 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(X12,sK0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | ~$less(sK7(X9,X10,X11,sK0),0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | ~is_longest_common_prefix1(X9,X10,X11,X12)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f269,f178])). 2.72/2.94 tff(f726,plain,( 2.72/2.94 ( ! [X14:$int,X15:$int,X13:array_int] : (is_longest_common_prefix1(X13,X14,X15,sK0) | $less(length1(int,t2tb1(X13)),$sum(X15,sK0)) | ~$less(sK7(X13,X14,X15,sK0),0) | $less(length1(int,t2tb1(X13)),$sum(X14,sK0)) | $less(sK0,sK6(X13,X14,X15,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f269,f179])). 2.72/2.94 tff(f731,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X31:$int,X29:$int] : (~$less(X31,sK0) | $less(length1(int,t2tb1(X28)),$sum(X30,sK0)) | ~$less(sK7(X28,X29,X30,sK0),0) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,X31)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,X31)))) | $less(X31,0) | $less(length1(int,t2tb1(X28)),$sum(X29,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f269,f195])). 2.72/2.94 tff(f732,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X0:array_int,X3:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,1)))) | ~is_common_prefix1(X0,sK4,X1,0) | is_common_prefix1(X2,X3,X4,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(length1(int,t2tb1(X2)),$sum(X4,1)) | $less(sK7(X2,X3,X4,1),1)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f181])). 2.72/2.94 tff(f733,plain,( 2.72/2.94 ( ! [X6:$int,X8:$int,X7:array_int,X5:array_int,X9:$int] : (tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,1)))) | ~is_common_prefix1(X5,sK4,X6,0) | is_common_prefix1(X7,X8,X9,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(X9,1)) | ~$less(sK7(X7,X8,X9,1),0)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f182])). 2.72/2.94 tff(f734,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X10:array_int,X13:$int,X11:$int] : (tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X11,1)))) | ~is_common_prefix1(X10,sK4,X11,0) | is_common_prefix1(X12,X13,X14,1) | $less(length1(int,t2tb1(X12)),$sum(X13,1)) | $less(length1(int,t2tb1(X12)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,1)))))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f196])). 2.72/2.94 tff(f735,plain,( 2.72/2.94 ( ! [X19:$int,X17:array_int,X15:array_int,X20:$int,X18:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,1)))) | ~is_common_prefix1(X15,sK4,X16,0) | tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,1)))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,1)))) | ~$less(1,X20) | ~is_common_prefix1(X17,X18,X19,X20)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f195])). 2.72/2.94 tff(f736,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X21:array_int,X25:$int,X22:$int] : (tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb($sum(X22,1)))) | ~is_common_prefix1(X21,sK4,X22,0) | ~is_common_prefix1(X23,X24,X25,$sum(1,1)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,1)))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,1)))) | ~$less($sum(X25,1),length1(int,t2tb1(X23))) | ~$less($sum(X24,1),length1(int,t2tb1(X23)))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f194])). 2.72/2.94 tff(f737,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X29:$int,X27:$int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,1)))) | ~is_common_prefix1(X26,sK4,X27,0) | ~$less($product(X28,1),$product(X29,1)) | $less(X28,X29)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f293,f166])). 2.72/2.94 tff(f740,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X21:array_int,X25:$int,X22:$int] : (tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb($sum(X22,1)))) | ~is_common_prefix1(X21,sK4,X22,0) | ~is_common_prefix1(X23,X24,X25,2) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,1)))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,1)))) | ~$less($sum(X25,1),length1(int,t2tb1(X23))) | ~$less($sum(X24,1),length1(int,t2tb1(X23)))) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f736])). 2.72/2.94 tff(f742,plain,( 2.72/2.94 spl8_92 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : (is_common_prefix1(X2,X3,X4,1) | $less(sK7(X2,X3,X4,1),1) | $less(length1(int,t2tb1(X2)),$sum(X4,1)) | $less(length1(int,t2tb1(X2)),$sum(X3,1)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_92])])). 2.72/2.94 tff(f743,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X3:$int] : (is_common_prefix1(X2,X3,X4,1) | $less(sK7(X2,X3,X4,1),1) | $less(length1(int,t2tb1(X2)),$sum(X4,1)) | $less(length1(int,t2tb1(X2)),$sum(X3,1))) ) | ~spl8_92), 2.72/2.94 inference(AVATAR_component_clause,[],[f742])). 2.72/2.94 tff(f745,plain,( 2.72/2.94 spl8_94 <=> ! [X1 : $int,X0 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,1)))) | ~is_common_prefix1(X0,sK4,X1,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_94])])). 2.72/2.94 tff(f747,plain,( 2.72/2.94 spl8_92 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f732,f203,f745,f742])). 2.72/2.94 tff(f749,plain,( 2.72/2.94 spl8_96 <=> ! [X9 : $int,X7 : array_int,X8 : $int] : (is_common_prefix1(X7,X8,X9,1) | ~$less(sK7(X7,X8,X9,1),0) | $less(length1(int,t2tb1(X7)),$sum(X9,1)) | $less(length1(int,t2tb1(X7)),$sum(X8,1)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_96])])). 2.72/2.94 tff(f750,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_common_prefix1(X7,X8,X9,1) | ~$less(sK7(X7,X8,X9,1),0) | $less(length1(int,t2tb1(X7)),$sum(X9,1)) | $less(length1(int,t2tb1(X7)),$sum(X8,1))) ) | ~spl8_96), 2.72/2.94 inference(AVATAR_component_clause,[],[f749])). 2.72/2.94 tff(f751,plain,( 2.72/2.94 spl8_96 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f733,f203,f745,f749])). 2.72/2.94 tff(f753,plain,( 2.72/2.94 spl8_98 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (is_common_prefix1(X12,X13,X14,1) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,1))))) | $less(length1(int,t2tb1(X12)),$sum(X14,1)) | $less(length1(int,t2tb1(X12)),$sum(X13,1)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_98])])). 2.72/2.94 tff(f754,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X13:$int] : (is_common_prefix1(X12,X13,X14,1) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,1))))) | $less(length1(int,t2tb1(X12)),$sum(X14,1)) | $less(length1(int,t2tb1(X12)),$sum(X13,1))) ) | ~spl8_98), 2.72/2.94 inference(AVATAR_component_clause,[],[f753])). 2.72/2.94 tff(f755,plain,( 2.72/2.94 spl8_98 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f734,f203,f745,f753])). 2.72/2.94 tff(f757,plain,( 2.72/2.94 spl8_100 <=> ! [X18 : $int,X20 : $int,X17 : array_int,X19 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,1)))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,1)))) | ~is_common_prefix1(X17,X18,X19,X20) | ~$less(1,X20))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_100])])). 2.72/2.94 tff(f758,plain,( 2.72/2.94 ( ! [X19:$int,X17:array_int,X20:$int,X18:$int] : (~$less(1,X20) | ~is_common_prefix1(X17,X18,X19,X20) | tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,1)))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,1))))) ) | ~spl8_100), 2.72/2.94 inference(AVATAR_component_clause,[],[f757])). 2.72/2.94 tff(f759,plain,( 2.72/2.94 spl8_100 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f735,f203,f745,f757])). 2.72/2.94 tff(f761,plain,( 2.72/2.94 spl8_102 <=> ! [X25 : $int,X23 : array_int,X24 : $int] : (~is_common_prefix1(X23,X24,X25,2) | ~$less($sum(X24,1),length1(int,t2tb1(X23))) | ~$less($sum(X25,1),length1(int,t2tb1(X23))) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,1)))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,1)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_102])])). 2.72/2.94 tff(f763,plain,( 2.72/2.94 spl8_102 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f740,f203,f745,f761])). 2.72/2.94 tff(f765,plain,( 2.72/2.94 spl8_104 <=> ! [X29 : $int,X28 : $int] : (~$less($product(X28,1),$product(X29,1)) | $less(X28,X29))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_104])])). 2.72/2.94 tff(f767,plain,( 2.72/2.94 spl8_104 | spl8_94 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f737,f203,f745,f765])). 2.72/2.94 tff(f769,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X0:array_int,X3:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,1)))) | ~is_common_prefix1(X0,X1,sK4,0) | is_common_prefix1(X2,X3,X4,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | $less(length1(int,t2tb1(X2)),$sum(X4,1)) | $less(sK7(X2,X3,X4,1),1)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f181])). 2.72/2.94 tff(f770,plain,( 2.72/2.94 ( ! [X6:$int,X8:$int,X7:array_int,X5:array_int,X9:$int] : (tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,1)))) | ~is_common_prefix1(X5,X6,sK4,0) | is_common_prefix1(X7,X8,X9,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(X9,1)) | ~$less(sK7(X7,X8,X9,1),0)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f182])). 2.72/2.94 tff(f771,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X10:array_int,X13:$int,X11:$int] : (tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X11,1)))) | ~is_common_prefix1(X10,X11,sK4,0) | is_common_prefix1(X12,X13,X14,1) | $less(length1(int,t2tb1(X12)),$sum(X13,1)) | $less(length1(int,t2tb1(X12)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,1)))))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f196])). 2.72/2.94 tff(f772,plain,( 2.72/2.94 ( ! [X19:$int,X17:array_int,X15:array_int,X20:$int,X18:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,1)))) | ~is_common_prefix1(X15,X16,sK4,0) | tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,1)))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,1)))) | ~$less(1,X20) | ~is_common_prefix1(X17,X18,X19,X20)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f195])). 2.72/2.94 tff(f773,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X21:array_int,X25:$int,X22:$int] : (tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb($sum(X22,1)))) | ~is_common_prefix1(X21,X22,sK4,0) | ~is_common_prefix1(X23,X24,X25,$sum(1,1)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,1)))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,1)))) | ~$less($sum(X25,1),length1(int,t2tb1(X23))) | ~$less($sum(X24,1),length1(int,t2tb1(X23)))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f194])). 2.72/2.94 tff(f774,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X29:$int,X27:$int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,1)))) | ~is_common_prefix1(X26,X27,sK4,0) | ~$less($product(X28,1),$product(X29,1)) | $less(X28,X29)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f294,f166])). 2.72/2.94 tff(f777,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X21:array_int,X25:$int,X22:$int] : (tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X21)),t2tb($sum(X22,1)))) | ~is_common_prefix1(X21,X22,sK4,0) | ~is_common_prefix1(X23,X24,X25,2) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,1)))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,1)))) | ~$less($sum(X25,1),length1(int,t2tb1(X23))) | ~$less($sum(X24,1),length1(int,t2tb1(X23)))) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f773])). 2.72/2.94 tff(f779,plain,( 2.72/2.94 spl8_106 <=> ! [X1 : $int,X0 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK5))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,1)))) | ~is_common_prefix1(X0,X1,sK4,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_106])])). 2.72/2.94 tff(f781,plain,( 2.72/2.94 spl8_92 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f769,f203,f779,f742])). 2.72/2.94 tff(f782,plain,( 2.72/2.94 spl8_96 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f770,f203,f779,f749])). 2.72/2.94 tff(f783,plain,( 2.72/2.94 spl8_98 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f771,f203,f779,f753])). 2.72/2.94 tff(f784,plain,( 2.72/2.94 spl8_100 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f772,f203,f779,f757])). 2.72/2.94 tff(f785,plain,( 2.72/2.94 spl8_102 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f777,f203,f779,f761])). 2.72/2.94 tff(f786,plain,( 2.72/2.94 spl8_104 | spl8_106 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f774,f203,f779,f765])). 2.72/2.94 tff(f789,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X17:$int,X15:array_int,X13:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK2)))) | ~is_common_prefix1(X12,X13,X14,0) | is_common_prefix1(X15,X16,X17,sK2) | $less(length1(int,t2tb1(X15)),$sum(X16,sK2)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK2)))))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f255,f196])). 2.72/2.94 tff(f791,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X26:$int,X29:$int,X27:$int,X25:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X26,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X27,sK2)))) | ~is_common_prefix1(X25,X26,X27,0) | ~is_common_prefix1(X28,X29,X30,$sum(sK2,1)) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK2)))) | ~$less($sum(X30,sK2),length1(int,t2tb1(X28))) | ~$less($sum(X29,sK2),length1(int,t2tb1(X28)))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f255,f194])). 2.72/2.94 tff(f794,plain,( 2.72/2.94 ( ! [X45:$int,X43:$int,X41:array_int,X46:$int,X44:array_int,X42:$int] : (~is_common_prefix1(X44,X45,X46,sK2) | ~is_common_prefix1(X41,X42,X43,sK6(X44,X45,X46,sK2)) | is_longest_common_prefix1(X44,X45,X46,sK2) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK2))))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f255,f179])). 2.72/2.94 tff(f796,plain,( 2.72/2.94 spl8_108 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_common_prefix1(X15,X16,X17,sK2) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK2))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK2)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK2)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_108])])). 2.72/2.94 tff(f799,plain,( 2.72/2.94 spl8_110 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK2)))) | ~is_common_prefix1(X12,X13,X14,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_110])])). 2.72/2.94 tff(f801,plain,( 2.72/2.94 spl8_108 | spl8_110 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f789,f233,f799,f796])). 2.72/2.94 tff(f803,plain,( 2.72/2.94 spl8_112 <=> ! [X29 : $int,X28 : array_int,X30 : $int] : (~is_common_prefix1(X28,X29,X30,$sum(sK2,1)) | ~$less($sum(X29,sK2),length1(int,t2tb1(X28))) | ~$less($sum(X30,sK2),length1(int,t2tb1(X28))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK2)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_112])])). 2.72/2.94 tff(f805,plain,( 2.72/2.94 spl8_112 | spl8_110 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f791,f233,f799,f803])). 2.72/2.94 tff(f809,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X17:$int,X15:array_int,X13:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK3)))) | ~is_common_prefix1(X12,X13,X14,0) | is_common_prefix1(X15,X16,X17,sK3) | $less(length1(int,t2tb1(X15)),$sum(X16,sK3)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK3)))))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f263,f196])). 2.72/2.94 tff(f811,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X26:$int,X29:$int,X27:$int,X25:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X26,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X27,sK3)))) | ~is_common_prefix1(X25,X26,X27,0) | ~is_common_prefix1(X28,X29,X30,$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK3)))) | ~$less($sum(X30,sK3),length1(int,t2tb1(X28))) | ~$less($sum(X29,sK3),length1(int,t2tb1(X28)))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f263,f194])). 2.72/2.94 tff(f814,plain,( 2.72/2.94 ( ! [X45:$int,X43:$int,X41:array_int,X46:$int,X44:array_int,X42:$int] : (~is_common_prefix1(X44,X45,X46,sK3) | ~is_common_prefix1(X41,X42,X43,sK6(X44,X45,X46,sK3)) | is_longest_common_prefix1(X44,X45,X46,sK3) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK3))))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f263,f179])). 2.72/2.94 tff(f816,plain,( 2.72/2.94 spl8_114 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_common_prefix1(X15,X16,X17,sK3) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK3))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK3)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK3)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_114])])). 2.72/2.94 tff(f819,plain,( 2.72/2.94 spl8_116 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK3)))) | ~is_common_prefix1(X12,X13,X14,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_116])])). 2.72/2.94 tff(f821,plain,( 2.72/2.94 spl8_114 | spl8_116 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f809,f241,f819,f816])). 2.72/2.94 tff(f823,plain,( 2.72/2.94 spl8_118 <=> ! [X29 : $int,X28 : array_int,X30 : $int] : (~is_common_prefix1(X28,X29,X30,$sum(sK3,1)) | ~$less($sum(X29,sK3),length1(int,t2tb1(X28))) | ~$less($sum(X30,sK3),length1(int,t2tb1(X28))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK3)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_118])])). 2.72/2.94 tff(f825,plain,( 2.72/2.94 spl8_118 | spl8_116 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f811,f241,f819,f823])). 2.72/2.94 tff(f828,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X17:$int,X15:array_int,X13:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK0)))) | ~is_common_prefix1(X12,X13,X14,0) | is_common_prefix1(X15,X16,X17,sK0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0)))))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f271,f196])). 2.72/2.94 tff(f830,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X26:$int,X29:$int,X27:$int,X25:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X26,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X27,sK0)))) | ~is_common_prefix1(X25,X26,X27,0) | ~is_common_prefix1(X28,X29,X30,$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK0)))) | ~$less($sum(X30,sK0),length1(int,t2tb1(X28))) | ~$less($sum(X29,sK0),length1(int,t2tb1(X28)))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f271,f194])). 2.72/2.94 tff(f833,plain,( 2.72/2.94 ( ! [X45:$int,X43:$int,X41:array_int,X46:$int,X44:array_int,X42:$int] : (~is_common_prefix1(X44,X45,X46,sK0) | ~is_common_prefix1(X41,X42,X43,sK6(X44,X45,X46,sK0)) | is_longest_common_prefix1(X44,X45,X46,sK0) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK0))))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f271,f179])). 2.72/2.94 tff(f835,plain,( 2.72/2.94 spl8_120 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_common_prefix1(X15,X16,X17,sK0) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_120])])). 2.72/2.94 tff(f838,plain,( 2.72/2.94 spl8_122 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK0)))) | ~is_common_prefix1(X12,X13,X14,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_122])])). 2.72/2.94 tff(f840,plain,( 2.72/2.94 spl8_120 | spl8_122 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f828,f249,f838,f835])). 2.72/2.94 tff(f842,plain,( 2.72/2.94 spl8_124 <=> ! [X29 : $int,X28 : array_int,X30 : $int] : (~is_common_prefix1(X28,X29,X30,$sum(sK0,1)) | ~$less($sum(X29,sK0),length1(int,t2tb1(X28))) | ~$less($sum(X30,sK0),length1(int,t2tb1(X28))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK0)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_124])])). 2.72/2.94 tff(f844,plain,( 2.72/2.94 spl8_124 | spl8_122 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f830,f249,f838,f842])). 2.72/2.94 tff(f848,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK2,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(sK7(X6,X7,X8,sK0),sK0)) ) | ~spl8_30), 2.72/2.94 inference(resolution,[],[f328,f181])). 2.72/2.94 tff(f849,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | ~$less(sK7(X9,X10,X11,sK0),0)) ) | ~spl8_30), 2.72/2.94 inference(resolution,[],[f328,f182])). 2.72/2.94 tff(f850,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X13:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK2,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,sK0)))))) ) | ~spl8_30), 2.72/2.94 inference(resolution,[],[f328,f196])). 2.72/2.94 tff(f853,plain,( 2.72/2.94 spl8_126 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK2,sK4))))) | $less(sK7(X6,X7,X8,sK0),sK0) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_126])])). 2.72/2.94 tff(f855,plain,( 2.72/2.94 spl8_24 | spl8_126 | ~spl8_30), 2.72/2.94 inference(AVATAR_split_clause,[],[f848,f327,f853,f485])). 2.72/2.94 tff(f857,plain,( 2.72/2.94 spl8_128 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | ~$less(sK7(X9,X10,X11,sK0),0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_128])])). 2.72/2.94 tff(f859,plain,( 2.72/2.94 spl8_24 | spl8_128 | ~spl8_30), 2.72/2.94 inference(AVATAR_split_clause,[],[f849,f327,f857,f485])). 2.72/2.94 tff(f861,plain,( 2.72/2.94 spl8_130 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK2,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,sK0))))) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_130])])). 2.72/2.94 tff(f863,plain,( 2.72/2.94 spl8_24 | spl8_130 | ~spl8_30), 2.72/2.94 inference(AVATAR_split_clause,[],[f850,f327,f861,f485])). 2.72/2.94 tff(f866,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(sK7(X6,X7,X8,sK0),sK0)) ) | ~spl8_32), 2.72/2.94 inference(resolution,[],[f344,f181])). 2.72/2.94 tff(f867,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK3,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | ~$less(sK7(X9,X10,X11,sK0),0)) ) | ~spl8_32), 2.72/2.94 inference(resolution,[],[f344,f182])). 2.72/2.94 tff(f868,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X13:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK3,sK4))))) | $less(sK0,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,sK0)))))) ) | ~spl8_32), 2.72/2.94 inference(resolution,[],[f344,f196])). 2.72/2.94 tff(f871,plain,( 2.72/2.94 spl8_132 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | $less(sK7(X6,X7,X8,sK0),sK0) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_132])])). 2.72/2.94 tff(f873,plain,( 2.72/2.94 spl8_24 | spl8_132 | ~spl8_32), 2.72/2.94 inference(AVATAR_split_clause,[],[f866,f343,f871,f485])). 2.72/2.94 tff(f875,plain,( 2.72/2.94 spl8_134 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK3,sK4))))) | ~$less(sK7(X9,X10,X11,sK0),0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_134])])). 2.72/2.94 tff(f877,plain,( 2.72/2.94 spl8_24 | spl8_134 | ~spl8_32), 2.72/2.94 inference(AVATAR_split_clause,[],[f867,f343,f875,f485])). 2.72/2.94 tff(f879,plain,( 2.72/2.94 spl8_136 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK7(X12,X13,X14,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK7(X12,X13,X14,sK0))))) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_136])])). 2.72/2.94 tff(f881,plain,( 2.72/2.94 spl8_24 | spl8_136 | ~spl8_32), 2.72/2.94 inference(AVATAR_split_clause,[],[f868,f343,f879,f485])). 2.72/2.94 tff(f884,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,X6) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,sK4))) | ~$less(sK7(X3,X4,X5,$sum(sK2,sK4)),0) | ~$less(X6,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,sK4)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f315,f178])). 2.72/2.94 tff(f885,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X9,$sum(sK2,sK4))) | ~$less(sK7(X7,X8,X9,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | $less($sum(sK2,sK4),sK6(X7,X8,X9,$sum(sK2,sK4)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f315,f179])). 2.72/2.94 tff(f892,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,X6) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,sK4))) | ~$less(sK7(X3,X4,X5,$sum(sK3,sK4)),0) | ~$less(X6,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,sK4)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f331,f178])). 2.72/2.94 tff(f893,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X9,$sum(sK3,sK4))) | ~$less(sK7(X7,X8,X9,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X7,X8,X9,$sum(sK3,sK4)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f331,f179])). 2.72/2.94 tff(f901,plain,( 2.72/2.94 ( ! [X4:$int,X2:array_int,X3:$int] : ($less(sK7(X2,X3,X4,sK4),0) | tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(X2,X3,X4,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(X2,X3,X4,sK4))))) | is_common_prefix1(X2,X3,X4,sK4) | $less(sK4,0) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4))) ) | ~spl8_14), 2.72/2.94 inference(resolution,[],[f428,f181])). 2.72/2.94 tff(f903,plain,( 2.72/2.94 spl8_138 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : ($less(sK7(X2,X3,X4,sK4),0) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4)) | is_common_prefix1(X2,X3,X4,sK4) | tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(X2,X3,X4,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(X2,X3,X4,sK4))))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_138])])). 2.72/2.94 tff(f905,plain,( 2.72/2.94 spl8_26 | spl8_138 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f901,f229,f903,f304])). 2.72/2.94 tff(f906,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum($sum(sK2,sK4),1)) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK2,sK4))) | $less(sK7(X0,X1,X2,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X0,X1,X2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK2,sK4)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f314,f175])). 2.72/2.94 tff(f907,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,X6) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,sK4))) | $less(sK7(X3,X4,X5,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(X6,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,sK4)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f314,f178])). 2.72/2.94 tff(f908,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X9,$sum(sK2,sK4))) | $less(sK7(X7,X8,X9,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | $less($sum(sK2,sK4),sK6(X7,X8,X9,$sum(sK2,sK4)))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f314,f179])). 2.72/2.94 tff(f915,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,$sum($sum(sK3,sK4),1)) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,sK4))) | $less(sK7(X0,X1,X2,$sum(sK3,sK4)),$sum(sK3,sK4)) | is_longest_common_prefix1(X0,X1,X2,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,sK4)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f330,f175])). 2.72/2.94 tff(f916,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,X6) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,sK4))) | $less(sK7(X3,X4,X5,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(X6,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,sK4)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f330,f178])). 2.72/2.94 tff(f917,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int,X9:$int] : (is_longest_common_prefix1(X7,X8,X9,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X9,$sum(sK3,sK4))) | $less(sK7(X7,X8,X9,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X7,X8,X9,$sum(sK3,sK4)))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f330,f179])). 2.72/2.94 tff(f926,plain,( 2.72/2.94 ( ! [X14:$int,X12:$int,X15:$int,X13:array_int] : (~is_longest_common_prefix1(X13,X14,X15,X12) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),X12)) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f317,f177])). 2.72/2.94 tff(f927,plain,( 2.72/2.94 ( ! [X19:$int,X17:array_int,X18:$int,X16:$int] : (is_longest_common_prefix1(X17,X18,X19,X16) | tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum(X16,1)) | ~is_common_prefix1(X17,X18,X19,X16)) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f317,f175])). 2.72/2.94 tff(f928,plain,( 2.72/2.94 ( ! [X21:$int,X22:$int,X20:array_int] : (~$less($sum(sK2,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f317,f314])). 2.72/2.94 tff(f929,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X25:$int] : (~$less($sum(sK2,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK2,sK4))) | ~$less(sK7(X23,X24,X25,$sum(sK2,sK4)),0)) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f317,f315])). 2.72/2.94 tff(f930,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : (~$less($sum(sK2,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))) | $less(sK7(X26,X27,X28,$sum(sK3,sK4)),$sum(sK3,sK4))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f317,f330])). 2.72/2.94 tff(f931,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : (~$less($sum(sK2,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))) | ~$less(sK7(X29,X30,X31,$sum(sK3,sK4)),0)) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f317,f331])). 2.72/2.94 tff(f932,plain,( 2.72/2.94 ( ! [X33:$int,X34:$int,X32:array_int] : (~$less($sum(sK2,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X33,sK0)) | $less(length1(int,t2tb1(X32)),$sum(X34,sK0)) | ~$less(sK7(X32,X33,X34,sK0),0)) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f317,f269])). 2.72/2.94 tff(f933,plain,( 2.72/2.94 ( ! [X37:$int,X35:array_int,X36:$int] : (~$less($sum(sK2,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X36,sK0)) | $less(length1(int,t2tb1(X35)),$sum(X37,sK0)) | $less(sK7(X35,X36,X37,sK0),sK0)) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f317,f268])). 2.72/2.94 tff(f934,plain,( 2.72/2.94 ( ! [X39:$int,X38:array_int,X40:$int] : (~$less($sum(sK2,sK4),sK2) | tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2)) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)) | ~$less(sK7(X38,X39,X40,sK2),0)) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f317,f253])). 2.72/2.94 tff(f935,plain,( 2.72/2.94 ( ! [X43:$int,X41:array_int,X42:$int] : (~$less($sum(sK2,sK4),sK2) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X41)),$sum(X42,sK2)) | $less(length1(int,t2tb1(X41)),$sum(X43,sK2)) | $less(sK7(X41,X42,X43,sK2),sK2)) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f317,f252])). 2.72/2.94 tff(f936,plain,( 2.72/2.94 ( ! [X45:$int,X46:$int,X44:array_int] : (~$less($sum(sK2,sK4),sK3) | tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X44)),$sum(X45,sK3)) | $less(length1(int,t2tb1(X44)),$sum(X46,sK3)) | ~$less(sK7(X44,X45,X46,sK3),0)) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f317,f261])). 2.72/2.94 tff(f937,plain,( 2.72/2.94 ( ! [X47:array_int,X48:$int,X49:$int] : (~$less($sum(sK2,sK4),sK3) | tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X47)),$sum(X48,sK3)) | $less(length1(int,t2tb1(X47)),$sum(X49,sK3)) | $less(sK7(X47,X48,X49,sK3),sK3)) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f317,f260])). 2.72/2.94 tff(f939,plain,( 2.72/2.94 ( ! [X54:array_int,X55:$int] : (~$less($sum(sK2,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(X55,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X54)),sK5) | $less(length1(int,t2tb1(X54)),$sum(X55,1)) | $less(sK7(X54,X55,sK4,1),1)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f317,f302])). 2.72/2.94 tff(f940,plain,( 2.72/2.94 ( ! [X57:$int,X56:array_int] : (~$less($sum(sK2,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X56)),sK5) | $less(length1(int,t2tb1(X56)),$sum(X57,1)) | ~$less(sK7(X56,X57,sK4,1),0)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f317,f300])). 2.72/2.94 tff(f941,plain,( 2.72/2.94 ( ! [X59:$int,X58:array_int] : (~$less($sum(sK2,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(X59,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X58)),sK5) | $less(length1(int,t2tb1(X58)),$sum(X59,1)) | $less(sK7(X58,sK4,X59,1),1)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f317,f301])). 2.72/2.94 tff(f942,plain,( 2.72/2.94 ( ! [X61:$int,X60:array_int] : (~$less($sum(sK2,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(X61,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X60)),sK5) | $less(length1(int,t2tb1(X60)),$sum(X61,1)) | ~$less(sK7(X60,sK4,X61,1),0)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f317,f299])). 2.72/2.94 tff(f943,plain,( 2.72/2.94 ~$less($sum(sK2,sK4),sK4) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,$sum(sK2,sK4))))) | (~spl8_7 | ~spl8_14)), 2.72/2.94 inference(resolution,[],[f317,f230])). 2.72/2.94 tff(f945,plain,( 2.72/2.94 spl8_140 <=> ! [X20 : array_int,X22 : $int,X21 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,$sum(sK2,sK4))))) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_140])])). 2.72/2.94 tff(f948,plain,( 2.72/2.94 spl8_143 <=> ~$less($sum(sK2,sK4),$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_143])])). 2.72/2.94 tff(f950,plain,( 2.72/2.94 spl8_140 | ~spl8_143 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f928,f211,f948,f945])). 2.72/2.94 tff(f952,plain,( 2.72/2.94 spl8_144 <=> ! [X25 : $int,X23 : array_int,X24 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,$sum(sK2,sK4))))) | ~$less(sK7(X23,X24,X25,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_144])])). 2.72/2.94 tff(f954,plain,( 2.72/2.94 spl8_144 | ~spl8_143 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f929,f211,f948,f952])). 2.72/2.94 tff(f956,plain,( 2.72/2.94 spl8_146 <=> ! [X27 : $int,X26 : array_int,X28 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4))))) | $less(sK7(X26,X27,X28,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_146])])). 2.72/2.94 tff(f959,plain,( 2.72/2.94 spl8_149 <=> ~$less($sum(sK2,sK4),$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_149])])). 2.72/2.94 tff(f961,plain,( 2.72/2.94 spl8_146 | ~spl8_149 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f930,f219,f211,f959,f956])). 2.72/2.94 tff(f963,plain,( 2.72/2.94 spl8_150 <=> ! [X29 : array_int,X31 : $int,X30 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK2,sK4))))) | ~$less(sK7(X29,X30,X31,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_150])])). 2.72/2.94 tff(f965,plain,( 2.72/2.94 spl8_150 | ~spl8_149 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f931,f219,f211,f959,f963])). 2.72/2.94 tff(f967,plain,( 2.72/2.94 spl8_9 <=> ~$less($sum(sK2,sK4),sK0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_9])])). 2.72/2.94 tff(f969,plain,( 2.72/2.94 spl8_128 | ~spl8_9 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f932,f249,f211,f967,f857])). 2.72/2.94 tff(f970,plain,( 2.72/2.94 spl8_126 | ~spl8_9 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f933,f249,f211,f967,f853])). 2.72/2.94 tff(f972,plain,( 2.72/2.94 spl8_152 <=> ! [X40 : $int,X38 : array_int,X39 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,$sum(sK2,sK4))))) | ~$less(sK7(X38,X39,X40,sK2),0) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_152])])). 2.72/2.94 tff(f975,plain,( 2.72/2.94 spl8_155 <=> ~$less($sum(sK2,sK4),sK2)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_155])])). 2.72/2.94 tff(f977,plain,( 2.72/2.94 spl8_152 | ~spl8_155 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f934,f233,f211,f975,f972])). 2.72/2.94 tff(f979,plain,( 2.72/2.94 spl8_156 <=> ! [X42 : $int,X41 : array_int,X43 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,$sum(sK2,sK4))))) | $less(sK7(X41,X42,X43,sK2),sK2) | $less(length1(int,t2tb1(X41)),$sum(X43,sK2)) | $less(length1(int,t2tb1(X41)),$sum(X42,sK2)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_156])])). 2.72/2.94 tff(f981,plain,( 2.72/2.94 spl8_156 | ~spl8_155 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f935,f233,f211,f975,f979])). 2.72/2.94 tff(f983,plain,( 2.72/2.94 spl8_158 <=> ! [X44 : array_int,X46 : $int,X45 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,$sum(sK2,sK4))))) | ~$less(sK7(X44,X45,X46,sK3),0) | $less(length1(int,t2tb1(X44)),$sum(X46,sK3)) | $less(length1(int,t2tb1(X44)),$sum(X45,sK3)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_158])])). 2.72/2.94 tff(f986,plain,( 2.72/2.94 spl8_161 <=> ~$less($sum(sK2,sK4),sK3)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_161])])). 2.72/2.94 tff(f988,plain,( 2.72/2.94 spl8_158 | ~spl8_161 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f936,f241,f211,f986,f983])). 2.72/2.94 tff(f990,plain,( 2.72/2.94 spl8_162 <=> ! [X49 : $int,X48 : $int,X47 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,$sum(sK2,sK4))))) | $less(sK7(X47,X48,X49,sK3),sK3) | $less(length1(int,t2tb1(X47)),$sum(X49,sK3)) | $less(length1(int,t2tb1(X47)),$sum(X48,sK3)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_162])])). 2.72/2.94 tff(f992,plain,( 2.72/2.94 spl8_162 | ~spl8_161 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f937,f241,f211,f986,f990])). 2.72/2.94 tff(f994,plain,( 2.72/2.94 spl8_164 <=> ! [X55 : $int,X54 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(X55,$sum(sK2,sK4))))) | $less(sK7(X54,X55,sK4,1),1) | $less(length1(int,t2tb1(X54)),$sum(X55,1)) | $less(length1(int,t2tb1(X54)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_164])])). 2.72/2.94 tff(f997,plain,( 2.72/2.94 spl8_167 <=> ~$less($sum(sK2,sK4),1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_167])])). 2.72/2.94 tff(f999,plain,( 2.72/2.94 spl8_164 | ~spl8_167 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f939,f211,f203,f997,f994])). 2.72/2.94 tff(f1001,plain,( 2.72/2.94 spl8_168 <=> ! [X56 : array_int,X57 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,$sum(sK2,sK4))))) | ~$less(sK7(X56,X57,sK4,1),0) | $less(length1(int,t2tb1(X56)),$sum(X57,1)) | $less(length1(int,t2tb1(X56)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_168])])). 2.72/2.94 tff(f1003,plain,( 2.72/2.94 spl8_168 | ~spl8_167 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f940,f211,f203,f997,f1001])). 2.72/2.94 tff(f1005,plain,( 2.72/2.94 spl8_170 <=> ! [X58 : array_int,X59 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(X59,$sum(sK2,sK4))))) | $less(sK7(X58,sK4,X59,1),1) | $less(length1(int,t2tb1(X58)),$sum(X59,1)) | $less(length1(int,t2tb1(X58)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_170])])). 2.72/2.94 tff(f1007,plain,( 2.72/2.94 spl8_170 | ~spl8_167 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f941,f211,f203,f997,f1005])). 2.72/2.94 tff(f1009,plain,( 2.72/2.94 spl8_172 <=> ! [X60 : array_int,X61 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(sK4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(X61,$sum(sK2,sK4))))) | ~$less(sK7(X60,sK4,X61,1),0) | $less(length1(int,t2tb1(X60)),$sum(X61,1)) | $less(length1(int,t2tb1(X60)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_172])])). 2.72/2.94 tff(f1011,plain,( 2.72/2.94 spl8_172 | ~spl8_167 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f942,f211,f203,f997,f1009])). 2.72/2.94 tff(f1012,plain,( 2.72/2.94 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),sK4) | (~spl8_7 | ~spl8_14)), 2.72/2.94 inference(forward_demodulation,[],[f943,f146])). 2.72/2.94 tff(f1014,plain,( 2.72/2.94 spl8_175 <=> ~$less($sum(sK2,sK4),sK4)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_175])])). 2.72/2.94 tff(f1017,plain,( 2.72/2.94 spl8_176 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK2,sK4)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_176])])). 2.72/2.94 tff(f1019,plain,( 2.72/2.94 ~spl8_175 | spl8_176 | spl8_7 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f1012,f229,f211,f1017,f1014])). 2.72/2.94 tff(f1024,plain,( 2.72/2.94 ( ! [X14:$int,X12:$int,X15:$int,X13:array_int] : (~is_longest_common_prefix1(X13,X14,X15,X12) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),X12)) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f333,f177])). 2.72/2.94 tff(f1025,plain,( 2.72/2.94 ( ! [X19:$int,X17:array_int,X18:$int,X16:$int] : (is_longest_common_prefix1(X17,X18,X19,X16) | tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X18,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X17)),t2tb($sum(X19,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum(X16,1)) | ~is_common_prefix1(X17,X18,X19,X16)) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f333,f175])). 2.72/2.94 tff(f1026,plain,( 2.72/2.94 ( ! [X21:$int,X22:$int,X20:array_int] : (~$less($sum(sK3,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f314])). 2.72/2.94 tff(f1027,plain,( 2.72/2.94 ( ! [X24:$int,X23:array_int,X25:$int] : (~$less($sum(sK3,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK2,sK4))) | ~$less(sK7(X23,X24,X25,$sum(sK2,sK4)),0)) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f315])). 2.72/2.94 tff(f1028,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : (~$less($sum(sK3,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))) | $less(sK7(X26,X27,X28,$sum(sK3,sK4)),$sum(sK3,sK4))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f333,f330])). 2.72/2.94 tff(f1029,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : (~$less($sum(sK3,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))) | ~$less(sK7(X29,X30,X31,$sum(sK3,sK4)),0)) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f333,f331])). 2.72/2.94 tff(f1030,plain,( 2.72/2.94 ( ! [X33:$int,X34:$int,X32:array_int] : (~$less($sum(sK3,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X33,sK0)) | $less(length1(int,t2tb1(X32)),$sum(X34,sK0)) | ~$less(sK7(X32,X33,X34,sK0),0)) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f333,f269])). 2.72/2.94 tff(f1031,plain,( 2.72/2.94 ( ! [X37:$int,X35:array_int,X36:$int] : (~$less($sum(sK3,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X36,sK0)) | $less(length1(int,t2tb1(X35)),$sum(X37,sK0)) | $less(sK7(X35,X36,X37,sK0),sK0)) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f333,f268])). 2.72/2.94 tff(f1032,plain,( 2.72/2.94 ( ! [X39:$int,X38:array_int,X40:$int] : (~$less($sum(sK3,sK4),sK2) | tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2)) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)) | ~$less(sK7(X38,X39,X40,sK2),0)) ) | (~spl8_11 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f333,f253])). 2.72/2.94 tff(f1033,plain,( 2.72/2.94 ( ! [X43:$int,X41:array_int,X42:$int] : (~$less($sum(sK3,sK4),sK2) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X41)),$sum(X42,sK2)) | $less(length1(int,t2tb1(X41)),$sum(X43,sK2)) | $less(sK7(X41,X42,X43,sK2),sK2)) ) | (~spl8_11 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f333,f252])). 2.72/2.94 tff(f1034,plain,( 2.72/2.94 ( ! [X45:$int,X46:$int,X44:array_int] : (~$less($sum(sK3,sK4),sK3) | tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X44)),$sum(X45,sK3)) | $less(length1(int,t2tb1(X44)),$sum(X46,sK3)) | ~$less(sK7(X44,X45,X46,sK3),0)) ) | (~spl8_11 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f333,f261])). 2.72/2.94 tff(f1035,plain,( 2.72/2.94 ( ! [X47:array_int,X48:$int,X49:$int] : (~$less($sum(sK3,sK4),sK3) | tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X47)),$sum(X48,sK3)) | $less(length1(int,t2tb1(X47)),$sum(X49,sK3)) | $less(sK7(X47,X48,X49,sK3),sK3)) ) | (~spl8_11 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f333,f260])). 2.72/2.94 tff(f1037,plain,( 2.72/2.94 ( ! [X54:array_int,X55:$int] : (~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(X55,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X54)),sK5) | $less(length1(int,t2tb1(X54)),$sum(X55,1)) | $less(sK7(X54,X55,sK4,1),1)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f302])). 2.72/2.94 tff(f1038,plain,( 2.72/2.94 ( ! [X57:$int,X56:array_int] : (~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X56)),sK5) | $less(length1(int,t2tb1(X56)),$sum(X57,1)) | ~$less(sK7(X56,X57,sK4,1),0)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f300])). 2.72/2.94 tff(f1039,plain,( 2.72/2.94 ( ! [X59:$int,X58:array_int] : (~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(X59,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X58)),sK5) | $less(length1(int,t2tb1(X58)),$sum(X59,1)) | $less(sK7(X58,sK4,X59,1),1)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f301])). 2.72/2.94 tff(f1040,plain,( 2.72/2.94 ( ! [X61:$int,X60:array_int] : (~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(X61,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X60)),sK5) | $less(length1(int,t2tb1(X60)),$sum(X61,1)) | ~$less(sK7(X60,sK4,X61,1),0)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f333,f299])). 2.72/2.94 tff(f1041,plain,( 2.72/2.94 ~$less($sum(sK3,sK4),sK4) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,$sum(sK3,sK4))))) | (~spl8_11 | ~spl8_14)), 2.72/2.94 inference(resolution,[],[f333,f230])). 2.72/2.94 tff(f1043,plain,( 2.72/2.94 spl8_178 <=> ! [X20 : array_int,X22 : $int,X21 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,$sum(sK3,sK4))))) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_178])])). 2.72/2.94 tff(f1046,plain,( 2.72/2.94 spl8_181 <=> ~$less($sum(sK3,sK4),$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_181])])). 2.72/2.94 tff(f1048,plain,( 2.72/2.94 spl8_178 | ~spl8_181 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1026,f219,f211,f1046,f1043])). 2.72/2.94 tff(f1050,plain,( 2.72/2.94 spl8_182 <=> ! [X25 : $int,X23 : array_int,X24 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,$sum(sK3,sK4))))) | ~$less(sK7(X23,X24,X25,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_182])])). 2.72/2.94 tff(f1052,plain,( 2.72/2.94 spl8_182 | ~spl8_181 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1027,f219,f211,f1046,f1050])). 2.72/2.94 tff(f1054,plain,( 2.72/2.94 spl8_184 <=> ! [X27 : $int,X26 : array_int,X28 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK3,sK4))))) | $less(sK7(X26,X27,X28,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_184])])). 2.72/2.94 tff(f1057,plain,( 2.72/2.94 spl8_187 <=> ~$less($sum(sK3,sK4),$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_187])])). 2.72/2.94 tff(f1059,plain,( 2.72/2.94 spl8_184 | ~spl8_187 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1028,f219,f1057,f1054])). 2.72/2.94 tff(f1061,plain,( 2.72/2.94 spl8_188 <=> ! [X29 : array_int,X31 : $int,X30 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4))))) | ~$less(sK7(X29,X30,X31,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_188])])). 2.72/2.94 tff(f1063,plain,( 2.72/2.94 spl8_188 | ~spl8_187 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1029,f219,f1057,f1061])). 2.72/2.94 tff(f1065,plain,( 2.72/2.94 spl8_13 <=> ~$less($sum(sK3,sK4),sK0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_13])])). 2.72/2.94 tff(f1067,plain,( 2.72/2.94 spl8_134 | ~spl8_13 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1030,f249,f219,f1065,f875])). 2.72/2.94 tff(f1068,plain,( 2.72/2.94 spl8_132 | ~spl8_13 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1031,f249,f219,f1065,f871])). 2.72/2.94 tff(f1070,plain,( 2.72/2.94 spl8_190 <=> ! [X40 : $int,X38 : array_int,X39 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,$sum(sK3,sK4))))) | ~$less(sK7(X38,X39,X40,sK2),0) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_190])])). 2.72/2.94 tff(f1073,plain,( 2.72/2.94 spl8_193 <=> ~$less($sum(sK3,sK4),sK2)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_193])])). 2.72/2.94 tff(f1075,plain,( 2.72/2.94 spl8_190 | ~spl8_193 | spl8_11 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1032,f233,f219,f1073,f1070])). 2.72/2.94 tff(f1077,plain,( 2.72/2.94 spl8_194 <=> ! [X42 : $int,X41 : array_int,X43 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,$sum(sK3,sK4))))) | $less(sK7(X41,X42,X43,sK2),sK2) | $less(length1(int,t2tb1(X41)),$sum(X43,sK2)) | $less(length1(int,t2tb1(X41)),$sum(X42,sK2)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_194])])). 2.72/2.94 tff(f1079,plain,( 2.72/2.94 spl8_194 | ~spl8_193 | spl8_11 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1033,f233,f219,f1073,f1077])). 2.72/2.94 tff(f1081,plain,( 2.72/2.94 spl8_196 <=> ! [X44 : array_int,X46 : $int,X45 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,$sum(sK3,sK4))))) | ~$less(sK7(X44,X45,X46,sK3),0) | $less(length1(int,t2tb1(X44)),$sum(X46,sK3)) | $less(length1(int,t2tb1(X44)),$sum(X45,sK3)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_196])])). 2.72/2.94 tff(f1084,plain,( 2.72/2.94 spl8_199 <=> ~$less($sum(sK3,sK4),sK3)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_199])])). 2.72/2.94 tff(f1086,plain,( 2.72/2.94 spl8_196 | ~spl8_199 | spl8_11 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1034,f241,f219,f1084,f1081])). 2.72/2.94 tff(f1088,plain,( 2.72/2.94 spl8_200 <=> ! [X49 : $int,X48 : $int,X47 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,$sum(sK3,sK4))))) | $less(sK7(X47,X48,X49,sK3),sK3) | $less(length1(int,t2tb1(X47)),$sum(X49,sK3)) | $less(length1(int,t2tb1(X47)),$sum(X48,sK3)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_200])])). 2.72/2.94 tff(f1090,plain,( 2.72/2.94 spl8_200 | ~spl8_199 | spl8_11 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1035,f241,f219,f1084,f1088])). 2.72/2.94 tff(f1092,plain,( 2.72/2.94 spl8_202 <=> ! [X55 : $int,X54 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X54)),t2tb($sum(X55,$sum(sK3,sK4))))) | $less(sK7(X54,X55,sK4,1),1) | $less(length1(int,t2tb1(X54)),$sum(X55,1)) | $less(length1(int,t2tb1(X54)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_202])])). 2.72/2.94 tff(f1095,plain,( 2.72/2.94 spl8_205 <=> ~$less($sum(sK3,sK4),1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_205])])). 2.72/2.94 tff(f1097,plain,( 2.72/2.94 spl8_202 | ~spl8_205 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1037,f219,f203,f1095,f1092])). 2.72/2.94 tff(f1099,plain,( 2.72/2.94 spl8_206 <=> ! [X56 : array_int,X57 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,$sum(sK3,sK4))))) | ~$less(sK7(X56,X57,sK4,1),0) | $less(length1(int,t2tb1(X56)),$sum(X57,1)) | $less(length1(int,t2tb1(X56)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_206])])). 2.72/2.94 tff(f1101,plain,( 2.72/2.94 spl8_206 | ~spl8_205 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1038,f219,f203,f1095,f1099])). 2.72/2.94 tff(f1103,plain,( 2.72/2.94 spl8_208 <=> ! [X58 : array_int,X59 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X58)),t2tb($sum(X59,$sum(sK3,sK4))))) | $less(sK7(X58,sK4,X59,1),1) | $less(length1(int,t2tb1(X58)),$sum(X59,1)) | $less(length1(int,t2tb1(X58)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_208])])). 2.72/2.94 tff(f1105,plain,( 2.72/2.94 spl8_208 | ~spl8_205 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1039,f219,f203,f1095,f1103])). 2.72/2.94 tff(f1107,plain,( 2.72/2.94 spl8_210 <=> ! [X60 : array_int,X61 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X60)),t2tb($sum(X61,$sum(sK3,sK4))))) | ~$less(sK7(X60,sK4,X61,1),0) | $less(length1(int,t2tb1(X60)),$sum(X61,1)) | $less(length1(int,t2tb1(X60)),sK5))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_210])])). 2.72/2.94 tff(f1109,plain,( 2.72/2.94 spl8_210 | ~spl8_205 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1040,f219,f203,f1095,f1107])). 2.72/2.94 tff(f1110,plain,( 2.72/2.94 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),sK4) | (~spl8_11 | ~spl8_14)), 2.72/2.94 inference(forward_demodulation,[],[f1041,f146])). 2.72/2.94 tff(f1112,plain,( 2.72/2.94 spl8_213 <=> ~$less($sum(sK3,sK4),sK4)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_213])])). 2.72/2.94 tff(f1115,plain,( 2.72/2.94 spl8_214 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK3,sK4)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_214])])). 2.72/2.94 tff(f1117,plain,( 2.72/2.94 ~spl8_213 | spl8_214 | spl8_11 | ~spl8_14), 2.72/2.94 inference(AVATAR_split_clause,[],[f1110,f229,f219,f1115,f1112])). 2.72/2.94 tff(f1134,plain,( 2.72/2.94 ( ! [X2:$int,X0:$int,X1:array_int] : (~$less($sum(X0,sK4),length1(int,t2tb1(X1))) | ~$less($sum(X2,sK4),length1(int,t2tb1(X1))) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK4)))) | $less(sK5,0) | $less(length1(int,t2tb1(X1)),$sum(X0,sK5)) | $less(length1(int,t2tb1(X1)),$sum(X2,sK5)) | $less(sK7(X1,X0,X2,sK5),sK5)) ) | ~spl8_28), 2.72/2.94 inference(resolution,[],[f308,f181])). 2.72/2.94 tff(f1135,plain,( 2.72/2.94 ( ! [X4:array_int,X5:$int,X3:$int] : (~$less($sum(X3,sK4),length1(int,t2tb1(X4))) | ~$less($sum(X5,sK4),length1(int,t2tb1(X4))) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK4)))) | $less(sK5,0) | $less(length1(int,t2tb1(X4)),$sum(X3,sK5)) | $less(length1(int,t2tb1(X4)),$sum(X5,sK5)) | ~$less(sK7(X4,X3,X5,sK5),0)) ) | ~spl8_28), 2.72/2.94 inference(resolution,[],[f308,f182])). 2.72/2.94 tff(f1136,plain,( 2.72/2.94 ( ! [X6:$int,X8:$int,X7:array_int] : (~$less($sum(X6,sK4),length1(int,t2tb1(X7))) | ~$less($sum(X8,sK4),length1(int,t2tb1(X7))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK4)))) | $less(sK5,0) | $less(length1(int,t2tb1(X7)),$sum(X6,sK5)) | $less(length1(int,t2tb1(X7)),$sum(X8,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK7(X7,X6,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X6,X8,sK5)))))) ) | ~spl8_28), 2.72/2.94 inference(resolution,[],[f308,f196])). 2.72/2.94 tff(f1139,plain,( 2.72/2.94 spl8_216 <=> ! [X1 : array_int,X0 : $int,X2 : $int] : (~$less($sum(X0,sK4),length1(int,t2tb1(X1))) | $less(sK7(X1,X0,X2,sK5),sK5) | $less(length1(int,t2tb1(X1)),$sum(X2,sK5)) | $less(length1(int,t2tb1(X1)),$sum(X0,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK4)))) | ~$less($sum(X2,sK4),length1(int,t2tb1(X1))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_216])])). 2.72/2.94 tff(f1141,plain,( 2.72/2.94 spl8_36 | spl8_216 | ~spl8_28), 2.72/2.94 inference(AVATAR_split_clause,[],[f1134,f307,f1139,f358])). 2.72/2.94 tff(f1143,plain,( 2.72/2.94 spl8_218 <=> ! [X3 : $int,X5 : $int,X4 : array_int] : (~$less($sum(X3,sK4),length1(int,t2tb1(X4))) | ~$less(sK7(X4,X3,X5,sK5),0) | $less(length1(int,t2tb1(X4)),$sum(X5,sK5)) | $less(length1(int,t2tb1(X4)),$sum(X3,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK4)))) | ~$less($sum(X5,sK4),length1(int,t2tb1(X4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_218])])). 2.72/2.94 tff(f1145,plain,( 2.72/2.94 spl8_36 | spl8_218 | ~spl8_28), 2.72/2.94 inference(AVATAR_split_clause,[],[f1135,f307,f1143,f358])). 2.72/2.94 tff(f1147,plain,( 2.72/2.94 spl8_220 <=> ! [X7 : array_int,X8 : $int,X6 : $int] : (~$less($sum(X6,sK4),length1(int,t2tb1(X7))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK7(X7,X6,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X6,X8,sK5))))) | $less(length1(int,t2tb1(X7)),$sum(X8,sK5)) | $less(length1(int,t2tb1(X7)),$sum(X6,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK4)))) | ~$less($sum(X8,sK4),length1(int,t2tb1(X7))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_220])])). 2.72/2.94 tff(f1149,plain,( 2.72/2.94 spl8_36 | spl8_220 | ~spl8_28), 2.72/2.94 inference(AVATAR_split_clause,[],[f1136,f307,f1147,f358])). 2.72/2.94 tff(f1151,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK2) | ~$less($sum(X2,sK2),length1(int,t2tb1(X0))) | ~$less($sum(X1,sK2),length1(int,t2tb1(X0))) | is_longest_common_prefix1(X0,X1,X2,sK2) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK2))))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f256,f175])). 2.72/2.94 tff(f1152,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | $less($sum(sK2,1),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,1))) | $less(sK7(X3,X4,X5,$sum(sK2,1)),$sum(sK2,1))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f256,f181])). 2.72/2.94 tff(f1153,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK2)))) | ~$less($sum(X8,sK2),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK2),length1(int,t2tb1(X6))) | $less($sum(sK2,1),0) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK2,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK2,1))) | ~$less(sK7(X6,X7,X8,$sum(sK2,1)),0)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f256,f182])). 2.72/2.94 tff(f1154,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK2)))) | ~$less($sum(X11,sK2),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK2),length1(int,t2tb1(X9))) | $less($sum(sK2,1),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK2,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK2,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK2,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK2,1))))))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f256,f196])). 2.72/2.94 tff(f1156,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK2)))) | ~$less($sum(X11,sK2),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK2),length1(int,t2tb1(X9))) | $less(sK2,$uminus(1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK2,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK2,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK2,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK2,1))))))) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1154])). 2.72/2.94 tff(f1157,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK2)))) | ~$less($sum(X11,sK2),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK2),length1(int,t2tb1(X9))) | $less(sK2,-1) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK2,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK2,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK2,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK2,1))))))) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1156])). 2.72/2.94 tff(f1158,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK2)))) | ~$less($sum(X8,sK2),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK2),length1(int,t2tb1(X6))) | $less(sK2,$uminus(1)) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK2,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK2,1))) | ~$less(sK7(X6,X7,X8,$sum(sK2,1)),0)) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1153])). 2.72/2.94 tff(f1159,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK2)))) | ~$less($sum(X8,sK2),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK2),length1(int,t2tb1(X6))) | $less(sK2,-1) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK2,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK2,1))) | ~$less(sK7(X6,X7,X8,$sum(sK2,1)),0)) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1158])). 2.72/2.94 tff(f1160,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | $less(sK2,$uminus(1)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,1))) | $less(sK7(X3,X4,X5,$sum(sK2,1)),$sum(sK2,1))) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1152])). 2.72/2.94 tff(f1161,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | $less(sK2,-1) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,1))) | $less(sK7(X3,X4,X5,$sum(sK2,1)),$sum(sK2,1))) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1160])). 2.72/2.94 tff(f1163,plain,( 2.72/2.94 spl8_222 <=> $less(sK2,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_222])])). 2.72/2.94 tff(f1166,plain,( 2.72/2.94 spl8_224 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | $less(sK7(X3,X4,X5,$sum(sK2,1)),$sum(sK2,1)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,1))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_224])])). 2.72/2.94 tff(f1168,plain,( 2.72/2.94 spl8_222 | spl8_224 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1161,f233,f1166,f1163])). 2.72/2.94 tff(f1170,plain,( 2.72/2.94 spl8_226 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK2)))) | ~$less(sK7(X6,X7,X8,$sum(sK2,1)),0) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK2,1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK2,1))) | ~$less($sum(X7,sK2),length1(int,t2tb1(X6))) | ~$less($sum(X8,sK2),length1(int,t2tb1(X6))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_226])])). 2.72/2.94 tff(f1172,plain,( 2.72/2.94 spl8_222 | spl8_226 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1159,f233,f1170,f1163])). 2.72/2.94 tff(f1174,plain,( 2.72/2.94 spl8_228 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK2)))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK2,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK2,1)))))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK2,1))) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK2,1))) | ~$less($sum(X10,sK2),length1(int,t2tb1(X9))) | ~$less($sum(X11,sK2),length1(int,t2tb1(X9))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_228])])). 2.72/2.94 tff(f1176,plain,( 2.72/2.94 spl8_222 | spl8_228 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1157,f233,f1174,f1163])). 2.72/2.94 tff(f1177,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK3) | ~$less($sum(X2,sK3),length1(int,t2tb1(X0))) | ~$less($sum(X1,sK3),length1(int,t2tb1(X0))) | is_longest_common_prefix1(X0,X1,X2,sK3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3))))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f264,f175])). 2.72/2.94 tff(f1178,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | $less($sum(sK3,1),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | $less(sK7(X3,X4,X5,$sum(sK3,1)),$sum(sK3,1))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f264,f181])). 2.72/2.94 tff(f1179,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK3),length1(int,t2tb1(X6))) | $less($sum(sK3,1),0) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | ~$less(sK7(X6,X7,X8,$sum(sK3,1)),0)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f264,f182])). 2.72/2.94 tff(f1180,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | ~$less($sum(X11,sK3),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK3),length1(int,t2tb1(X9))) | $less($sum(sK3,1),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK3,1))))))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f264,f196])). 2.72/2.94 tff(f1182,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | ~$less($sum(X11,sK3),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK3),length1(int,t2tb1(X9))) | $less(sK3,$uminus(1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK3,1))))))) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1180])). 2.72/2.94 tff(f1183,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | ~$less($sum(X11,sK3),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK3),length1(int,t2tb1(X9))) | $less(sK3,-1) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK3,1))))))) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1182])). 2.72/2.94 tff(f1184,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK3),length1(int,t2tb1(X6))) | $less(sK3,$uminus(1)) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | ~$less(sK7(X6,X7,X8,$sum(sK3,1)),0)) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1179])). 2.72/2.94 tff(f1185,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK3),length1(int,t2tb1(X6))) | $less(sK3,-1) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | ~$less(sK7(X6,X7,X8,$sum(sK3,1)),0)) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1184])). 2.72/2.94 tff(f1186,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | $less(sK3,$uminus(1)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | $less(sK7(X3,X4,X5,$sum(sK3,1)),$sum(sK3,1))) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1178])). 2.72/2.94 tff(f1187,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | $less(sK3,-1) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | $less(sK7(X3,X4,X5,$sum(sK3,1)),$sum(sK3,1))) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1186])). 2.72/2.94 tff(f1189,plain,( 2.72/2.94 spl8_230 <=> $less(sK3,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_230])])). 2.72/2.94 tff(f1192,plain,( 2.72/2.94 spl8_232 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | $less(sK7(X3,X4,X5,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_232])])). 2.72/2.94 tff(f1194,plain,( 2.72/2.94 spl8_230 | spl8_232 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1187,f241,f1192,f1189])). 2.72/2.94 tff(f1196,plain,( 2.72/2.94 spl8_234 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | ~$less(sK7(X6,X7,X8,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | ~$less($sum(X7,sK3),length1(int,t2tb1(X6))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X6))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_234])])). 2.72/2.94 tff(f1198,plain,( 2.72/2.94 spl8_230 | spl8_234 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1185,f241,f1196,f1189])). 2.72/2.94 tff(f1200,plain,( 2.72/2.94 spl8_236 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK3,1))) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,1))) | ~$less($sum(X10,sK3),length1(int,t2tb1(X9))) | ~$less($sum(X11,sK3),length1(int,t2tb1(X9))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_236])])). 2.72/2.94 tff(f1202,plain,( 2.72/2.94 spl8_230 | spl8_236 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1183,f241,f1200,f1189])). 2.72/2.94 tff(f1204,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK0) | ~$less($sum(X2,sK0),length1(int,t2tb1(X0))) | ~$less($sum(X1,sK0),length1(int,t2tb1(X0))) | is_longest_common_prefix1(X0,X1,X2,sK0) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK0))))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f272,f175])). 2.72/2.94 tff(f1205,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | $less($sum(sK0,1),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK0,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK0,1))) | $less(sK7(X3,X4,X5,$sum(sK0,1)),$sum(sK0,1))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f272,f181])). 2.72/2.94 tff(f1206,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK0)))) | ~$less($sum(X8,sK0),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK0),length1(int,t2tb1(X6))) | $less($sum(sK0,1),0) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK0,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK0,1))) | ~$less(sK7(X6,X7,X8,$sum(sK0,1)),0)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f272,f182])). 2.72/2.94 tff(f1207,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK0)))) | ~$less($sum(X11,sK0),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK0),length1(int,t2tb1(X9))) | $less($sum(sK0,1),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK0,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK0,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK0,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK0,1))))))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f272,f196])). 2.72/2.94 tff(f1209,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK0)))) | ~$less($sum(X11,sK0),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK0),length1(int,t2tb1(X9))) | $less(sK0,$uminus(1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK0,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK0,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK0,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK0,1))))))) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1207])). 2.72/2.94 tff(f1210,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK0)))) | ~$less($sum(X11,sK0),length1(int,t2tb1(X9))) | ~$less($sum(X10,sK0),length1(int,t2tb1(X9))) | $less(sK0,-1) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK0,1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK0,1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK0,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK0,1))))))) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1209])). 2.72/2.94 tff(f1211,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK0)))) | ~$less($sum(X8,sK0),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK0),length1(int,t2tb1(X6))) | $less(sK0,$uminus(1)) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK0,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK0,1))) | ~$less(sK7(X6,X7,X8,$sum(sK0,1)),0)) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1206])). 2.72/2.94 tff(f1212,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK0)))) | ~$less($sum(X8,sK0),length1(int,t2tb1(X6))) | ~$less($sum(X7,sK0),length1(int,t2tb1(X6))) | $less(sK0,-1) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK0,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK0,1))) | ~$less(sK7(X6,X7,X8,$sum(sK0,1)),0)) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1211])). 2.72/2.94 tff(f1213,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | $less(sK0,$uminus(1)) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK0,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK0,1))) | $less(sK7(X3,X4,X5,$sum(sK0,1)),$sum(sK0,1))) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1205])). 2.72/2.94 tff(f1214,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | $less(sK0,-1) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK0,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK0,1))) | $less(sK7(X3,X4,X5,$sum(sK0,1)),$sum(sK0,1))) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1213])). 2.72/2.94 tff(f1216,plain,( 2.72/2.94 spl8_238 <=> $less(sK0,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_238])])). 2.72/2.94 tff(f1219,plain,( 2.72/2.94 spl8_240 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | $less(sK7(X3,X4,X5,$sum(sK0,1)),$sum(sK0,1)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK0,1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK0,1))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_240])])). 2.72/2.94 tff(f1221,plain,( 2.72/2.94 spl8_238 | spl8_240 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1214,f249,f1219,f1216])). 2.72/2.94 tff(f1223,plain,( 2.72/2.94 spl8_242 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK0)))) | ~$less(sK7(X6,X7,X8,$sum(sK0,1)),0) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK0,1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK0,1))) | ~$less($sum(X7,sK0),length1(int,t2tb1(X6))) | ~$less($sum(X8,sK0),length1(int,t2tb1(X6))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_242])])). 2.72/2.94 tff(f1225,plain,( 2.72/2.94 spl8_238 | spl8_242 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1212,f249,f1223,f1216])). 2.72/2.94 tff(f1227,plain,( 2.72/2.94 spl8_244 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK0)))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum(sK0,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum(sK0,1)))))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum(sK0,1))) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK0,1))) | ~$less($sum(X10,sK0),length1(int,t2tb1(X9))) | ~$less($sum(X11,sK0),length1(int,t2tb1(X9))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_244])])). 2.72/2.94 tff(f1229,plain,( 2.72/2.94 spl8_238 | spl8_244 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1210,f249,f1227,f1216])). 2.72/2.94 tff(f1230,plain,( 2.72/2.94 tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~sort1(map(int,int),t2tb2(sK1)) | ~spl8_45), 2.72/2.94 inference(superposition,[],[f382,f169])). 2.72/2.94 tff(f1232,plain,( 2.72/2.94 spl8_247 <=> ~sort1(map(int,int),t2tb2(sK1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_247])])). 2.72/2.94 tff(f1233,plain,( 2.72/2.94 ~sort1(map(int,int),t2tb2(sK1)) | ~spl8_247), 2.72/2.94 inference(AVATAR_component_clause,[],[f1232])). 2.72/2.94 tff(f1235,plain,( 2.72/2.94 spl8_249 <=> tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) != tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_249])])). 2.72/2.94 tff(f1237,plain,( 2.72/2.94 ~spl8_247 | ~spl8_249 | spl8_45), 2.72/2.94 inference(AVATAR_split_clause,[],[f1230,f381,f1235,f1232])). 2.72/2.94 tff(f1240,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(sK4,sK7(X2,sK4,X3,1))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK7(X2,sK4,X3,1))))) | is_longest_common_prefix1(X2,sK4,X3,1) | is_common_prefix1(X2,sK4,X3,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f291,f175])). 2.72/2.94 tff(f1242,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,sK4,X8,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,sK4,X8,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,sK4,X8,1))))) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,sK4,X8,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f291,f179])). 2.72/2.94 tff(f1249,plain,( 2.72/2.94 ( ! [X23:$int,X22:array_int] : ($less(length1(int,t2tb1(X22)),sK5) | $less(length1(int,t2tb1(X22)),$sum(X23,1)) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,sK7(X22,sK4,X23,1))))) != tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,sK7(X22,sK4,X23,1))))) | ~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,$sum(sK3,sK4)))))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f291,f333])). 2.72/2.94 tff(f1251,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,sK4,X3,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(sK4,sK7(X2,sK4,X3,1))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK7(X2,sK4,X3,1))))) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,sK4,X3,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f1240])). 2.72/2.94 tff(f1254,plain,( 2.72/2.94 spl8_250 <=> ! [X22 : array_int,X23 : $int] : ($less(length1(int,t2tb1(X22)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,sK7(X22,sK4,X23,1))))) != tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,sK7(X22,sK4,X23,1))))) | $less(length1(int,t2tb1(X22)),$sum(X23,1)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_250])])). 2.72/2.94 tff(f1256,plain,( 2.72/2.94 ~spl8_205 | spl8_250 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1249,f219,f203,f1254,f1095])). 2.72/2.94 tff(f1258,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : ($less(length1(int,t2tb1(X2)),sK5) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(sK4,sK7(X2,X3,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK7(X2,X3,sK4,1))))) | is_longest_common_prefix1(X2,X3,sK4,1) | is_common_prefix1(X2,X3,sK4,$sum(1,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f292,f175])). 2.72/2.94 tff(f1260,plain,( 2.72/2.94 ( ! [X8:$int,X7:array_int] : (is_longest_common_prefix1(X7,X8,sK4,1) | $less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,X8,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X8,sK4,1))))) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,X8,sK4,1))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f292,f179])). 2.72/2.94 tff(f1267,plain,( 2.72/2.94 ( ! [X23:$int,X22:array_int] : ($less(length1(int,t2tb1(X22)),sK5) | $less(length1(int,t2tb1(X22)),$sum(X23,1)) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,sK7(X22,X23,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,sK7(X22,X23,sK4,1))))) | ~$less($sum(sK3,sK4),1) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,$sum(sK3,sK4)))))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f292,f333])). 2.72/2.94 tff(f1269,plain,( 2.72/2.94 ( ! [X2:array_int,X3:$int] : (is_longest_common_prefix1(X2,X3,sK4,1) | $less(length1(int,t2tb1(X2)),$sum(X3,1)) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(sK4,sK7(X2,X3,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK7(X2,X3,sK4,1))))) | $less(length1(int,t2tb1(X2)),sK5) | is_common_prefix1(X2,X3,sK4,2)) ) | ~spl8_2), 2.72/2.94 inference(evaluation,[],[f1258])). 2.72/2.94 tff(f1272,plain,( 2.72/2.94 spl8_252 <=> ! [X22 : array_int,X23 : $int] : ($less(length1(int,t2tb1(X22)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(sK4,sK7(X22,X23,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X22)),t2tb($sum(X23,sK7(X22,X23,sK4,1))))) | $less(length1(int,t2tb1(X22)),$sum(X23,1)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_252])])). 2.72/2.94 tff(f1274,plain,( 2.72/2.94 ~spl8_205 | spl8_252 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1267,f219,f203,f1272,f1095])). 2.72/2.94 tff(f1277,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK2) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK7(X3,X4,X5,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK7(X3,X4,X5,sK2))))) | $less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f254,f178])). 2.72/2.94 tff(f1287,plain,( 2.72/2.94 ( ! [X6:$int,X4:$int,X5:$int,X3:array_int] : (~$less(X6,sK3) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK7(X3,X4,X5,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK7(X3,X4,X5,sK3))))) | $less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | ~is_longest_common_prefix1(X3,X4,X5,X6)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f262,f178])). 2.72/2.94 tff(f1302,plain,( 2.72/2.94 ( ! [X17:$int,X15:array_int,X18:$int,X16:$int] : (~$less(X18,sK0) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0))))) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | ~is_longest_common_prefix1(X15,X16,X17,X18)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f270,f178])). 2.72/2.94 tff(f1309,plain,( 2.72/2.94 ( ! [X39:$int,X38:array_int,X40:$int] : ($less(length1(int,t2tb1(X38)),$sum(X39,sK0)) | $less(length1(int,t2tb1(X38)),$sum(X40,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,sK7(X38,X39,X40,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,sK7(X38,X39,X40,sK0))))) | ~$less($sum(sK2,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,$sum(sK2,sK4)))))) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f270,f317])). 2.72/2.94 tff(f1310,plain,( 2.72/2.94 ( ! [X43:$int,X41:array_int,X42:$int] : ($less(length1(int,t2tb1(X41)),$sum(X42,sK0)) | $less(length1(int,t2tb1(X41)),$sum(X43,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK7(X41,X42,X43,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK7(X41,X42,X43,sK0))))) | ~$less($sum(sK3,sK4),sK0) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,$sum(sK3,sK4)))))) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f270,f333])). 2.72/2.94 tff(f1311,plain,( 2.72/2.94 ~spl8_9 | spl8_130 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1309,f249,f211,f861,f967])). 2.72/2.94 tff(f1312,plain,( 2.72/2.94 ~spl8_13 | spl8_136 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1310,f249,f219,f879,f1065])). 2.72/2.94 tff(f1314,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK2,sK4))))) | ~$less($sum(X5,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X4,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | $less($sum($sum(sK2,sK4),1),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum($sum(sK2,sK4),1))) | $less(sK7(X3,X4,X5,$sum($sum(sK2,sK4),1)),$sum($sum(sK2,sK4),1))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f318,f181])). 2.72/2.94 tff(f1315,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK2,sK4))))) | ~$less($sum(X8,$sum(sK2,sK4)),length1(int,t2tb1(X6))) | ~$less($sum(X7,$sum(sK2,sK4)),length1(int,t2tb1(X6))) | $less($sum($sum(sK2,sK4),1),0) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum($sum(sK2,sK4),1))) | ~$less(sK7(X6,X7,X8,$sum($sum(sK2,sK4),1)),0)) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f318,f182])). 2.72/2.94 tff(f1316,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | ~$less($sum(X11,$sum(sK2,sK4)),length1(int,t2tb1(X9))) | ~$less($sum(X10,$sum(sK2,sK4)),length1(int,t2tb1(X9))) | $less($sum($sum(sK2,sK4),1),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum($sum(sK2,sK4),1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum($sum(sK2,sK4),1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum($sum(sK2,sK4),1))))))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f318,f196])). 2.72/2.94 tff(f1319,plain,( 2.72/2.94 spl8_254 <=> $less($sum($sum(sK2,sK4),1),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_254])])). 2.72/2.94 tff(f1322,plain,( 2.72/2.94 spl8_256 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK2,sK4))))) | $less(sK7(X3,X4,X5,$sum($sum(sK2,sK4),1)),$sum($sum(sK2,sK4),1)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum($sum(sK2,sK4),1))) | ~$less($sum(X4,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X5,$sum(sK2,sK4)),length1(int,t2tb1(X3))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_256])])). 2.72/2.94 tff(f1324,plain,( 2.72/2.94 spl8_254 | spl8_256 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1314,f211,f1322,f1319])). 2.72/2.94 tff(f1326,plain,( 2.72/2.94 spl8_258 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK2,sK4))))) | ~$less(sK7(X6,X7,X8,$sum($sum(sK2,sK4),1)),0) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum($sum(sK2,sK4),1))) | ~$less($sum(X7,$sum(sK2,sK4)),length1(int,t2tb1(X6))) | ~$less($sum(X8,$sum(sK2,sK4)),length1(int,t2tb1(X6))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_258])])). 2.72/2.94 tff(f1328,plain,( 2.72/2.94 spl8_254 | spl8_258 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1315,f211,f1326,f1319])). 2.72/2.94 tff(f1330,plain,( 2.72/2.94 spl8_260 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum($sum(sK2,sK4),1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum($sum(sK2,sK4),1)))))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum($sum(sK2,sK4),1))) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum($sum(sK2,sK4),1))) | ~$less($sum(X10,$sum(sK2,sK4)),length1(int,t2tb1(X9))) | ~$less($sum(X11,$sum(sK2,sK4)),length1(int,t2tb1(X9))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_260])])). 2.72/2.94 tff(f1332,plain,( 2.72/2.94 spl8_254 | spl8_260 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1316,f211,f1330,f1319])). 2.72/2.94 tff(f1333,plain,( 2.72/2.94 $false | ~spl8_247), 2.72/2.94 inference(resolution,[],[f1233,f151])). 2.72/2.94 tff(f1334,plain,( 2.72/2.94 spl8_247), 2.72/2.94 inference(AVATAR_contradiction_clause,[],[f1333,f1232])). 2.72/2.94 tff(f1336,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK3,sK4))))) | ~$less($sum(X5,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X4,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | $less($sum($sum(sK3,sK4),1),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum($sum(sK3,sK4),1))) | $less(sK7(X3,X4,X5,$sum($sum(sK3,sK4),1)),$sum($sum(sK3,sK4),1))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f334,f181])). 2.72/2.94 tff(f1337,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | ~$less($sum(X8,$sum(sK3,sK4)),length1(int,t2tb1(X6))) | ~$less($sum(X7,$sum(sK3,sK4)),length1(int,t2tb1(X6))) | $less($sum($sum(sK3,sK4),1),0) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum($sum(sK3,sK4),1))) | ~$less(sK7(X6,X7,X8,$sum($sum(sK3,sK4),1)),0)) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f334,f182])). 2.72/2.94 tff(f1338,plain,( 2.72/2.94 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK3,sK4))))) | ~$less($sum(X11,$sum(sK3,sK4)),length1(int,t2tb1(X9))) | ~$less($sum(X10,$sum(sK3,sK4)),length1(int,t2tb1(X9))) | $less($sum($sum(sK3,sK4),1),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum($sum(sK3,sK4),1))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum($sum(sK3,sK4),1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum($sum(sK3,sK4),1))))))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f334,f196])). 2.72/2.94 tff(f1341,plain,( 2.72/2.94 spl8_262 <=> $less($sum($sum(sK3,sK4),1),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_262])])). 2.72/2.94 tff(f1344,plain,( 2.72/2.94 spl8_264 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK3,sK4))))) | $less(sK7(X3,X4,X5,$sum($sum(sK3,sK4),1)),$sum($sum(sK3,sK4),1)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum($sum(sK3,sK4),1))) | ~$less($sum(X4,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X5,$sum(sK3,sK4)),length1(int,t2tb1(X3))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_264])])). 2.72/2.94 tff(f1346,plain,( 2.72/2.94 spl8_262 | spl8_264 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1336,f219,f1344,f1341])). 2.72/2.94 tff(f1348,plain,( 2.72/2.94 spl8_266 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | ~$less(sK7(X6,X7,X8,$sum($sum(sK3,sK4),1)),0) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum($sum(sK3,sK4),1))) | ~$less($sum(X7,$sum(sK3,sK4)),length1(int,t2tb1(X6))) | ~$less($sum(X8,$sum(sK3,sK4)),length1(int,t2tb1(X6))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_266])])). 2.72/2.94 tff(f1350,plain,( 2.72/2.94 spl8_262 | spl8_266 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1337,f219,f1348,f1341])). 2.72/2.94 tff(f1352,plain,( 2.72/2.94 spl8_268 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,$sum($sum(sK3,sK4),1)))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,$sum($sum(sK3,sK4),1)))))) | $less(length1(int,t2tb1(X9)),$sum(X11,$sum($sum(sK3,sK4),1))) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum($sum(sK3,sK4),1))) | ~$less($sum(X10,$sum(sK3,sK4)),length1(int,t2tb1(X9))) | ~$less($sum(X11,$sum(sK3,sK4)),length1(int,t2tb1(X9))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_268])])). 2.72/2.94 tff(f1354,plain,( 2.72/2.94 spl8_262 | spl8_268 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1338,f219,f1352,f1341])). 2.72/2.94 tff(f1363,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : ($less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(X26,X27,X28,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(X26,X27,X28,$sum(sK2,sK4)))))) | ~$less($sum(sK2,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4)))))) ) | ~spl8_7), 2.72/2.94 inference(resolution,[],[f316,f317])). 2.72/2.94 tff(f1364,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : ($less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK2,sK4)))))) | ~$less($sum(sK3,sK4),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4)))))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f316,f333])). 2.72/2.94 tff(f1366,plain,( 2.72/2.94 spl8_270 <=> ! [X27 : $int,X26 : array_int,X28 : $int] : ($less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(X26,X27,X28,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(X26,X27,X28,$sum(sK2,sK4)))))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_270])])). 2.72/2.94 tff(f1368,plain,( 2.72/2.94 ~spl8_143 | spl8_270 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1363,f211,f1366,f948])). 2.72/2.94 tff(f1370,plain,( 2.72/2.94 spl8_272 <=> ! [X29 : array_int,X31 : $int,X30 : $int] : ($less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK2,sK4)))))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_272])])). 2.72/2.94 tff(f1372,plain,( 2.72/2.94 ~spl8_181 | spl8_272 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1364,f219,f211,f1370,f1046])). 2.72/2.94 tff(f1382,plain,( 2.72/2.94 ( ! [X28:$int,X26:array_int,X27:$int] : ($less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(X26,X27,X28,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(X26,X27,X28,$sum(sK3,sK4)))))) | ~$less($sum(sK2,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4)))))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f332,f317])). 2.72/2.94 tff(f1383,plain,( 2.72/2.94 ( ! [X30:$int,X31:$int,X29:array_int] : ($less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK3,sK4)))))) | ~$less($sum(sK3,sK4),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4)))))) ) | ~spl8_11), 2.72/2.94 inference(resolution,[],[f332,f333])). 2.72/2.94 tff(f1385,plain,( 2.72/2.94 spl8_274 <=> ! [X27 : $int,X26 : array_int,X28 : $int] : ($less(length1(int,t2tb1(X26)),$sum(X27,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,$sum(sK2,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(X26,X27,X28,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(X26,X27,X28,$sum(sK3,sK4)))))) | $less(length1(int,t2tb1(X26)),$sum(X28,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_274])])). 2.72/2.94 tff(f1387,plain,( 2.72/2.94 ~spl8_149 | spl8_274 | spl8_7 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1382,f219,f211,f1385,f959])). 2.72/2.94 tff(f1389,plain,( 2.72/2.94 spl8_276 <=> ! [X29 : array_int,X31 : $int,X30 : $int] : ($less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,$sum(sK3,sK4))))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK3,sK4)))))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK3,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_276])])). 2.72/2.94 tff(f1391,plain,( 2.72/2.94 ~spl8_187 | spl8_276 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f1383,f219,f1389,f1057])). 2.72/2.94 tff(f1397,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK5) | ~is_common_prefix1(X0,X1,X2,X3) | ~$less(sK4,X3) | $less(sK4,0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4)) | $less(sK7(X0,X1,X2,sK4),sK4)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f551,f181])). 2.72/2.94 tff(f1398,plain,( 2.72/2.94 ( ! [X6:$int,X4:array_int,X7:$int,X5:$int] : (is_common_prefix1(X4,X5,X6,sK5) | ~is_common_prefix1(X4,X5,X6,X7) | ~$less(sK4,X7) | $less(sK4,0) | $less(length1(int,t2tb1(X4)),$sum(X5,sK4)) | $less(length1(int,t2tb1(X4)),$sum(X6,sK4)) | ~$less(sK7(X4,X5,X6,sK4),0)) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f551,f182])). 2.72/2.94 tff(f1399,plain,( 2.72/2.94 ( ! [X10:$int,X8:array_int,X11:$int,X9:$int] : (is_common_prefix1(X8,X9,X10,sK5) | ~is_common_prefix1(X8,X9,X10,X11) | ~$less(sK4,X11) | $less(sK4,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK4)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X8)),t2tb($sum(X9,sK7(X8,X9,X10,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X8)),t2tb($sum(X10,sK7(X8,X9,X10,sK4)))))) ) | ~spl8_2), 2.72/2.94 inference(resolution,[],[f551,f196])). 2.72/2.94 tff(f1403,plain,( 2.72/2.94 spl8_278 <=> ! [X1 : $int,X3 : $int,X0 : array_int,X2 : $int] : (is_common_prefix1(X0,X1,X2,sK5) | $less(sK7(X0,X1,X2,sK4),sK4) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4)) | ~$less(sK4,X3) | ~is_common_prefix1(X0,X1,X2,X3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_278])])). 2.72/2.94 tff(f1405,plain,( 2.72/2.94 spl8_26 | spl8_278 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f1397,f203,f1403,f304])). 2.72/2.94 tff(f1407,plain,( 2.72/2.94 spl8_280 <=> ! [X5 : $int,X7 : $int,X4 : array_int,X6 : $int] : (is_common_prefix1(X4,X5,X6,sK5) | ~$less(sK7(X4,X5,X6,sK4),0) | $less(length1(int,t2tb1(X4)),$sum(X6,sK4)) | $less(length1(int,t2tb1(X4)),$sum(X5,sK4)) | ~$less(sK4,X7) | ~is_common_prefix1(X4,X5,X6,X7))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_280])])). 2.72/2.94 tff(f1409,plain,( 2.72/2.94 spl8_26 | spl8_280 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f1398,f203,f1407,f304])). 2.72/2.94 tff(f1411,plain,( 2.72/2.94 spl8_282 <=> ! [X9 : $int,X11 : $int,X8 : array_int,X10 : $int] : (is_common_prefix1(X8,X9,X10,sK5) | tb2t(get(int,int,elts(int,t2tb1(X8)),t2tb($sum(X9,sK7(X8,X9,X10,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X8)),t2tb($sum(X10,sK7(X8,X9,X10,sK4))))) | $less(length1(int,t2tb1(X8)),$sum(X10,sK4)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK4)) | ~$less(sK4,X11) | ~is_common_prefix1(X8,X9,X10,X11))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_282])])). 2.72/2.94 tff(f1413,plain,( 2.72/2.94 spl8_26 | spl8_282 | ~spl8_2), 2.72/2.94 inference(AVATAR_split_clause,[],[f1399,f203,f1411,f304])). 2.72/2.94 tff(f1417,plain,( 2.72/2.94 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK5)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK5)) | $less(sK7(X0,X1,X2,sK5),sK5)) ) | ~spl8_34), 2.72/2.94 inference(resolution,[],[f522,f181])). 2.72/2.94 tff(f1418,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK5)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK5)) | ~$less(sK7(X3,X4,X5,sK5),0)) ) | ~spl8_34), 2.72/2.94 inference(resolution,[],[f522,f182])). 2.72/2.94 tff(f1419,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | $less(sK5,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK5)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK5)))))) ) | ~spl8_34), 2.72/2.94 inference(resolution,[],[f522,f196])). 2.72/2.94 tff(f1422,plain,( 2.72/2.94 spl8_284 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (~is_longest_common_prefix1(X0,X1,X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | $less(sK7(X0,X1,X2,sK5),sK5) | $less(length1(int,t2tb1(X0)),$sum(X2,sK5)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK5)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_284])])). 2.72/2.94 tff(f1424,plain,( 2.72/2.94 spl8_36 | spl8_284 | ~spl8_34), 2.72/2.94 inference(AVATAR_split_clause,[],[f1417,f355,f1422,f358])). 2.72/2.94 tff(f1426,plain,( 2.72/2.94 spl8_286 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X4,X5,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | ~$less(sK7(X3,X4,X5,sK5),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK5)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK5)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_286])])). 2.72/2.94 tff(f1428,plain,( 2.72/2.94 spl8_36 | spl8_286 | ~spl8_34), 2.72/2.94 inference(AVATAR_split_clause,[],[f1418,f355,f1426,f358])). 2.72/2.94 tff(f1430,plain,( 2.72/2.94 spl8_288 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (~is_longest_common_prefix1(X6,X7,X8,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK5))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK5)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK5)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_288])])). 2.72/2.94 tff(f1432,plain,( 2.72/2.94 spl8_36 | spl8_288 | ~spl8_34), 2.72/2.94 inference(AVATAR_split_clause,[],[f1419,f355,f1430,f358])). 2.72/2.94 tff(f1571,plain,( 2.72/2.94 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(sK7(X5,X7,X6,sK2),sK2) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(sK2,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f609,f181])). 2.72/2.94 tff(f1573,plain,( 2.72/2.94 spl8_16 <=> $less(sK2,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_16])])). 2.72/2.94 tff(f1576,plain,( 2.72/2.94 spl8_290 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | $less(sK7(X5,X7,X6,sK2),sK2))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_290])])). 2.72/2.94 tff(f1578,plain,( 2.72/2.94 spl8_16 | spl8_290 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1571,f233,f1576,f1573])). 2.72/2.94 tff(f1580,plain,( 2.72/2.94 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | ~$less(sK7(X5,X7,X6,sK2),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(sK2,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f646,f181])). 2.72/2.94 tff(f1582,plain,( 2.72/2.94 spl8_292 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | ~$less(sK7(X5,X7,X6,sK2),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_292])])). 2.72/2.94 tff(f1584,plain,( 2.72/2.94 spl8_16 | spl8_292 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1580,f233,f1582,f1573])). 2.72/2.94 tff(f1587,plain,( 2.72/2.94 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(sK7(X5,X7,X6,sK3),sK3) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(sK3,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f654,f181])). 2.72/2.94 tff(f1589,plain,( 2.72/2.94 spl8_20 <=> $less(sK3,0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_20])])). 2.72/2.94 tff(f1592,plain,( 2.72/2.94 spl8_294 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | $less(sK7(X5,X7,X6,sK3),sK3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_294])])). 2.72/2.94 tff(f1594,plain,( 2.72/2.94 spl8_20 | spl8_294 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1587,f241,f1592,f1589])). 2.72/2.94 tff(f1596,plain,( 2.72/2.94 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | ~$less(sK7(X5,X7,X6,sK3),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(sK3,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f704,f181])). 2.72/2.94 tff(f1598,plain,( 2.72/2.94 spl8_296 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | ~$less(sK7(X5,X7,X6,sK3),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_296])])). 2.72/2.94 tff(f1600,plain,( 2.72/2.94 spl8_20 | spl8_296 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1596,f241,f1598,f1589])). 2.72/2.94 tff(f1605,plain,( 2.72/2.94 ( ! [X14:array_int,X12:$int,X15:$int,X13:$int,X11:array_int,X16:$int] : ($less(length1(int,t2tb1(X11)),$sum(X12,sK0)) | $less(sK7(X11,X13,X12,sK0),sK0) | $less(length1(int,t2tb1(X11)),$sum(X13,sK0)) | ~is_longest_common_prefix1(X11,X13,X12,sK7(X14,X15,X16,sK0)) | is_common_prefix1(X14,X15,X16,sK0) | $less(sK0,0) | $less(length1(int,t2tb1(X14)),$sum(X15,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X16,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f714,f181])). 2.72/2.94 tff(f1607,plain,( 2.72/2.94 spl8_298 <=> ! [X16 : $int,X11 : array_int,X13 : $int,X15 : $int,X12 : $int,X14 : array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X15,sK0)) | is_common_prefix1(X14,X15,X16,sK0) | ~is_longest_common_prefix1(X11,X13,X12,sK7(X14,X15,X16,sK0)) | $less(length1(int,t2tb1(X11)),$sum(X13,sK0)) | $less(sK7(X11,X13,X12,sK0),sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_298])])). 2.72/2.94 tff(f1609,plain,( 2.72/2.94 spl8_24 | spl8_298 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1605,f249,f1607,f485])). 2.72/2.94 tff(f1613,plain,( 2.72/2.94 ( ! [X14:array_int,X12:$int,X15:$int,X13:$int,X11:array_int,X16:$int] : ($less(length1(int,t2tb1(X11)),$sum(X12,sK0)) | ~$less(sK7(X11,X13,X12,sK0),0) | $less(length1(int,t2tb1(X11)),$sum(X13,sK0)) | ~is_longest_common_prefix1(X11,X13,X12,sK7(X14,X15,X16,sK0)) | is_common_prefix1(X14,X15,X16,sK0) | $less(sK0,0) | $less(length1(int,t2tb1(X14)),$sum(X15,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X16,sK0))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f725,f181])). 2.72/2.94 tff(f1615,plain,( 2.72/2.94 spl8_300 <=> ! [X16 : $int,X11 : array_int,X13 : $int,X15 : $int,X12 : $int,X14 : array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X14)),$sum(X15,sK0)) | is_common_prefix1(X14,X15,X16,sK0) | ~is_longest_common_prefix1(X11,X13,X12,sK7(X14,X15,X16,sK0)) | $less(length1(int,t2tb1(X11)),$sum(X13,sK0)) | ~$less(sK7(X11,X13,X12,sK0),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_300])])). 2.72/2.94 tff(f1617,plain,( 2.72/2.94 spl8_24 | spl8_300 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1613,f249,f1615,f485])). 2.72/2.94 tff(f1621,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X17:$int,X15:array_int,X13:$int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK4)))) | ~is_common_prefix1(X12,X13,X14,0) | is_common_prefix1(X15,X16,X17,sK4) | $less(length1(int,t2tb1(X15)),$sum(X16,sK4)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK4)))))) ) | ~spl8_27), 2.72/2.94 inference(resolution,[],[f438,f196])). 2.72/2.94 tff(f1628,plain,( 2.72/2.94 spl8_302 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK4)))) | ~is_common_prefix1(X12,X13,X14,0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_302])])). 2.72/2.94 tff(f1630,plain,( 2.72/2.94 spl8_82 | spl8_302 | spl8_27), 2.72/2.94 inference(AVATAR_split_clause,[],[f1621,f425,f1628,f636])). 2.72/2.94 tff(f1652,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X17:$int,X15:array_int,X13:$int,X16:$int] : (~is_common_prefix1(X12,X13,X14,0) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,1)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,1)))) | is_common_prefix1(X15,X16,X17,1) | $less(length1(int,t2tb1(X15)),$sum(X16,1)) | $less(length1(int,t2tb1(X15)),$sum(X17,1)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,1))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,1)))))) ) | ~spl8_100), 2.72/2.94 inference(resolution,[],[f758,f196])). 2.72/2.94 tff(f1654,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X26:$int,X29:$int,X27:$int,X25:array_int] : (~is_common_prefix1(X25,X26,X27,0) | tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X26,1)))) = tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X27,1)))) | ~is_common_prefix1(X28,X29,X30,$sum(1,1)) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,1)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,1)))) | ~$less($sum(X30,1),length1(int,t2tb1(X28))) | ~$less($sum(X29,1),length1(int,t2tb1(X28)))) ) | ~spl8_100), 2.72/2.94 inference(resolution,[],[f758,f194])). 2.72/2.94 tff(f1658,plain,( 2.72/2.94 ( ! [X30:$int,X28:array_int,X26:$int,X29:$int,X27:$int,X25:array_int] : (~is_common_prefix1(X25,X26,X27,0) | tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X26,1)))) = tb2t(get(int,int,elts(int,t2tb1(X25)),t2tb($sum(X27,1)))) | ~is_common_prefix1(X28,X29,X30,2) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,1)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,1)))) | ~$less($sum(X30,1),length1(int,t2tb1(X28))) | ~$less($sum(X29,1),length1(int,t2tb1(X28)))) ) | ~spl8_100), 2.72/2.94 inference(evaluation,[],[f1654])). 2.72/2.94 tff(f1660,plain,( 2.72/2.94 spl8_304 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (~is_common_prefix1(X12,X13,X14,0) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,1)))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,1)))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_304])])). 2.72/2.94 tff(f1662,plain,( 2.72/2.94 spl8_98 | spl8_304 | ~spl8_100), 2.72/2.94 inference(AVATAR_split_clause,[],[f1652,f757,f1660,f753])). 2.72/2.94 tff(f1663,plain,( 2.72/2.94 spl8_102 | spl8_304 | ~spl8_100), 2.72/2.94 inference(AVATAR_split_clause,[],[f1658,f757,f1660,f761])). 2.72/2.94 tff(f1718,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | $less(sK7(X3,X5,X4,sK2),sK2) | is_longest_common_prefix1(X3,X5,X4,sK2) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | $less(sK2,0) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3)))) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f608,f194])). 2.72/2.94 tff(f1725,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK2)) | $less(sK7(X25,X27,X26,sK2),sK2) | is_longest_common_prefix1(X25,X27,X26,sK2) | $less(length1(int,t2tb1(X25)),$sum(X27,sK2)) | ~$less($sum(sK2,1),0)) ) | ~spl8_17), 2.72/2.94 inference(resolution,[],[f608,f187])). 2.72/2.94 tff(f1727,plain,( 2.72/2.94 ( ! [X33:$int,X34:$int,X32:array_int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK2)) | $less(sK7(X32,X34,X33,sK2),sK2) | is_longest_common_prefix1(X32,X34,X33,sK2) | $less(length1(int,t2tb1(X32)),$sum(X34,sK2)) | ~$less($sum(sK2,sK4),$sum(sK2,1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4)))))) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f608,f317])). 2.72/2.94 tff(f1728,plain,( 2.72/2.94 ( ! [X37:$int,X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK2)) | $less(sK7(X35,X37,X36,sK2),sK2) | is_longest_common_prefix1(X35,X37,X36,sK2) | $less(length1(int,t2tb1(X35)),$sum(X37,sK2)) | ~$less($sum(sK3,sK4),$sum(sK2,1)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4)))))) ) | (~spl8_11 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f608,f333])). 2.72/2.94 tff(f1729,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK2)) | $less(sK7(X25,X27,X26,sK2),sK2) | is_longest_common_prefix1(X25,X27,X26,sK2) | $less(length1(int,t2tb1(X25)),$sum(X27,sK2)) | ~$less(sK2,$uminus(1))) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1725])). 2.72/2.94 tff(f1730,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK2)) | $less(sK7(X25,X27,X26,sK2),sK2) | is_longest_common_prefix1(X25,X27,X26,sK2) | $less(length1(int,t2tb1(X25)),$sum(X27,sK2)) | ~$less(sK2,-1)) ) | ~spl8_17), 2.72/2.94 inference(evaluation,[],[f1729])). 2.72/2.94 tff(f1732,plain,( 2.72/2.94 spl8_306 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK2)) | ~$less($sum(X5,sK2),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK2),length1(int,t2tb1(X3))) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK2)))) | $less(length1(int,t2tb1(X3)),$sum(X5,sK2)) | is_longest_common_prefix1(X3,X5,X4,sK2) | $less(sK7(X3,X5,X4,sK2),sK2))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_306])])). 2.72/2.94 tff(f1734,plain,( 2.72/2.94 spl8_16 | spl8_306 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1718,f233,f1732,f1573])). 2.72/2.94 tff(f1736,plain,( 2.72/2.94 spl8_223 <=> ~$less(sK2,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_223])])). 2.72/2.94 tff(f1739,plain,( 2.72/2.94 spl8_308 <=> ! [X25 : array_int,X27 : $int,X26 : $int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK2)) | $less(length1(int,t2tb1(X25)),$sum(X27,sK2)) | is_longest_common_prefix1(X25,X27,X26,sK2) | $less(sK7(X25,X27,X26,sK2),sK2))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_308])])). 2.72/2.94 tff(f1741,plain,( 2.72/2.94 ~spl8_223 | spl8_308 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1730,f233,f1739,f1736])). 2.72/2.94 tff(f1743,plain,( 2.72/2.94 spl8_311 <=> ~$less($sum(sK2,sK4),$sum(sK2,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_311])])). 2.72/2.94 tff(f1746,plain,( 2.72/2.94 spl8_312 <=> ! [X32 : array_int,X34 : $int,X33 : $int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X34,sK2)) | is_longest_common_prefix1(X32,X34,X33,sK2) | $less(sK7(X32,X34,X33,sK2),sK2))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_312])])). 2.72/2.94 tff(f1748,plain,( 2.72/2.94 ~spl8_311 | spl8_312 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1727,f233,f211,f1746,f1743])). 2.72/2.94 tff(f1750,plain,( 2.72/2.94 spl8_315 <=> ~$less($sum(sK3,sK4),$sum(sK2,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_315])])). 2.72/2.94 tff(f1753,plain,( 2.72/2.94 spl8_316 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X37,sK2)) | is_longest_common_prefix1(X35,X37,X36,sK2) | $less(sK7(X35,X37,X36,sK2),sK2))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_316])])). 2.72/2.94 tff(f1755,plain,( 2.72/2.94 ~spl8_315 | spl8_316 | spl8_11 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1728,f233,f219,f1753,f1750])). 2.72/2.94 tff(f1770,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | $less(sK7(X3,X5,X4,sK3),sK3) | is_longest_common_prefix1(X3,X5,X4,sK3) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | $less(sK3,0) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3)))) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f653,f194])). 2.72/2.94 tff(f1777,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK3)) | $less(sK7(X25,X27,X26,sK3),sK3) | is_longest_common_prefix1(X25,X27,X26,sK3) | $less(length1(int,t2tb1(X25)),$sum(X27,sK3)) | ~$less($sum(sK3,1),0)) ) | ~spl8_21), 2.72/2.94 inference(resolution,[],[f653,f187])). 2.72/2.94 tff(f1779,plain,( 2.72/2.94 ( ! [X33:$int,X34:$int,X32:array_int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK3)) | $less(sK7(X32,X34,X33,sK3),sK3) | is_longest_common_prefix1(X32,X34,X33,sK3) | $less(length1(int,t2tb1(X32)),$sum(X34,sK3)) | ~$less($sum(sK2,sK4),$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4)))))) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f653,f317])). 2.72/2.94 tff(f1780,plain,( 2.72/2.94 ( ! [X37:$int,X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK3)) | $less(sK7(X35,X37,X36,sK3),sK3) | is_longest_common_prefix1(X35,X37,X36,sK3) | $less(length1(int,t2tb1(X35)),$sum(X37,sK3)) | ~$less($sum(sK3,sK4),$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4)))))) ) | (~spl8_11 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f653,f333])). 2.72/2.94 tff(f1781,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK3)) | $less(sK7(X25,X27,X26,sK3),sK3) | is_longest_common_prefix1(X25,X27,X26,sK3) | $less(length1(int,t2tb1(X25)),$sum(X27,sK3)) | ~$less(sK3,$uminus(1))) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1777])). 2.72/2.94 tff(f1782,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK3)) | $less(sK7(X25,X27,X26,sK3),sK3) | is_longest_common_prefix1(X25,X27,X26,sK3) | $less(length1(int,t2tb1(X25)),$sum(X27,sK3)) | ~$less(sK3,-1)) ) | ~spl8_21), 2.72/2.94 inference(evaluation,[],[f1781])). 2.72/2.94 tff(f1784,plain,( 2.72/2.94 spl8_318 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK3)) | ~$less($sum(X5,sK3),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK3),length1(int,t2tb1(X3))) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | is_longest_common_prefix1(X3,X5,X4,sK3) | $less(sK7(X3,X5,X4,sK3),sK3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_318])])). 2.72/2.94 tff(f1786,plain,( 2.72/2.94 spl8_20 | spl8_318 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1770,f241,f1784,f1589])). 2.72/2.94 tff(f1788,plain,( 2.72/2.94 spl8_231 <=> ~$less(sK3,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_231])])). 2.72/2.94 tff(f1791,plain,( 2.72/2.94 spl8_320 <=> ! [X25 : array_int,X27 : $int,X26 : $int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK3)) | $less(length1(int,t2tb1(X25)),$sum(X27,sK3)) | is_longest_common_prefix1(X25,X27,X26,sK3) | $less(sK7(X25,X27,X26,sK3),sK3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_320])])). 2.72/2.94 tff(f1793,plain,( 2.72/2.94 ~spl8_231 | spl8_320 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1782,f241,f1791,f1788])). 2.72/2.94 tff(f1795,plain,( 2.72/2.94 spl8_323 <=> ~$less($sum(sK2,sK4),$sum(sK3,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_323])])). 2.72/2.94 tff(f1798,plain,( 2.72/2.94 spl8_324 <=> ! [X32 : array_int,X34 : $int,X33 : $int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X34,sK3)) | is_longest_common_prefix1(X32,X34,X33,sK3) | $less(sK7(X32,X34,X33,sK3),sK3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_324])])). 2.72/2.94 tff(f1800,plain,( 2.72/2.94 ~spl8_323 | spl8_324 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1779,f241,f211,f1798,f1795])). 2.72/2.94 tff(f1802,plain,( 2.72/2.94 spl8_327 <=> ~$less($sum(sK3,sK4),$sum(sK3,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_327])])). 2.72/2.94 tff(f1805,plain,( 2.72/2.94 spl8_328 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X37,sK3)) | is_longest_common_prefix1(X35,X37,X36,sK3) | $less(sK7(X35,X37,X36,sK3),sK3))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_328])])). 2.72/2.94 tff(f1807,plain,( 2.72/2.94 ~spl8_327 | spl8_328 | spl8_11 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1780,f241,f219,f1805,f1802])). 2.72/2.94 tff(f1822,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK0)) | $less(sK7(X3,X5,X4,sK0),sK0) | is_longest_common_prefix1(X3,X5,X4,sK0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | $less(sK0,0) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3)))) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f713,f194])). 2.72/2.94 tff(f1829,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK0)) | $less(sK7(X25,X27,X26,sK0),sK0) | is_longest_common_prefix1(X25,X27,X26,sK0) | $less(length1(int,t2tb1(X25)),$sum(X27,sK0)) | ~$less($sum(sK0,1),0)) ) | ~spl8_25), 2.72/2.94 inference(resolution,[],[f713,f187])). 2.72/2.94 tff(f1831,plain,( 2.72/2.94 ( ! [X33:$int,X34:$int,X32:array_int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK0)) | $less(sK7(X32,X34,X33,sK0),sK0) | is_longest_common_prefix1(X32,X34,X33,sK0) | $less(length1(int,t2tb1(X32)),$sum(X34,sK0)) | ~$less($sum(sK2,sK4),$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4)))))) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f713,f317])). 2.72/2.94 tff(f1832,plain,( 2.72/2.94 ( ! [X37:$int,X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK0)) | $less(sK7(X35,X37,X36,sK0),sK0) | is_longest_common_prefix1(X35,X37,X36,sK0) | $less(length1(int,t2tb1(X35)),$sum(X37,sK0)) | ~$less($sum(sK3,sK4),$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4)))))) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f713,f333])). 2.72/2.94 tff(f1833,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK0)) | $less(sK7(X25,X27,X26,sK0),sK0) | is_longest_common_prefix1(X25,X27,X26,sK0) | $less(length1(int,t2tb1(X25)),$sum(X27,sK0)) | ~$less(sK0,$uminus(1))) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1829])). 2.72/2.94 tff(f1834,plain,( 2.72/2.94 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK0)) | $less(sK7(X25,X27,X26,sK0),sK0) | is_longest_common_prefix1(X25,X27,X26,sK0) | $less(length1(int,t2tb1(X25)),$sum(X27,sK0)) | ~$less(sK0,-1)) ) | ~spl8_25), 2.72/2.94 inference(evaluation,[],[f1833])). 2.72/2.94 tff(f1836,plain,( 2.72/2.94 spl8_330 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : ($less(length1(int,t2tb1(X3)),$sum(X4,sK0)) | ~$less($sum(X5,sK0),length1(int,t2tb1(X3))) | ~$less($sum(X4,sK0),length1(int,t2tb1(X3))) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | $less(length1(int,t2tb1(X3)),$sum(X5,sK0)) | is_longest_common_prefix1(X3,X5,X4,sK0) | $less(sK7(X3,X5,X4,sK0),sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_330])])). 2.72/2.94 tff(f1838,plain,( 2.72/2.94 spl8_24 | spl8_330 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1822,f249,f1836,f485])). 2.72/2.94 tff(f1840,plain,( 2.72/2.94 spl8_239 <=> ~$less(sK0,-1)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_239])])). 2.72/2.94 tff(f1843,plain,( 2.72/2.94 spl8_332 <=> ! [X25 : array_int,X27 : $int,X26 : $int] : ($less(length1(int,t2tb1(X25)),$sum(X26,sK0)) | $less(length1(int,t2tb1(X25)),$sum(X27,sK0)) | is_longest_common_prefix1(X25,X27,X26,sK0) | $less(sK7(X25,X27,X26,sK0),sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_332])])). 2.72/2.94 tff(f1845,plain,( 2.72/2.94 ~spl8_239 | spl8_332 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1834,f249,f1843,f1840])). 2.72/2.94 tff(f1847,plain,( 2.72/2.94 spl8_335 <=> ~$less($sum(sK2,sK4),$sum(sK0,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_335])])). 2.72/2.94 tff(f1850,plain,( 2.72/2.94 spl8_336 <=> ! [X32 : array_int,X34 : $int,X33 : $int] : ($less(length1(int,t2tb1(X32)),$sum(X33,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X34,sK0)) | is_longest_common_prefix1(X32,X34,X33,sK0) | $less(sK7(X32,X34,X33,sK0),sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_336])])). 2.72/2.94 tff(f1852,plain,( 2.72/2.94 ~spl8_335 | spl8_336 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1831,f249,f211,f1850,f1847])). 2.72/2.94 tff(f1854,plain,( 2.72/2.94 spl8_339 <=> ~$less($sum(sK3,sK4),$sum(sK0,1))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_339])])). 2.72/2.94 tff(f1857,plain,( 2.72/2.94 spl8_340 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : ($less(length1(int,t2tb1(X35)),$sum(X36,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X37,sK0)) | is_longest_common_prefix1(X35,X37,X36,sK0) | $less(sK7(X35,X37,X36,sK0),sK0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_340])])). 2.72/2.94 tff(f1859,plain,( 2.72/2.94 ~spl8_339 | spl8_340 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f1832,f249,f219,f1857,f1854])). 2.72/2.94 tff(f1952,plain,( 2.72/2.94 ( ! [X19:$int,X20:$int,X18:array_int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK2,sK4))) | ~$less(sK7(X18,X20,X19,$sum(sK2,sK4)),0) | ~$less(sK2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | $less(sK2,sK6(X18,X20,X19,sK2))) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f884,f647])). 2.72/2.94 tff(f1953,plain,( 2.72/2.94 ( ! [X23:$int,X21:array_int,X22:$int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK2,sK4))) | ~$less(sK7(X21,X23,X22,$sum(sK2,sK4)),0) | ~$less(sK2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK2,sK6(X21,X23,X22,sK2))) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f884,f610])). 2.72/2.94 tff(f1954,plain,( 2.72/2.94 ( ! [X26:$int,X24:array_int,X25:$int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK2,sK4))) | ~$less(sK7(X24,X26,X25,$sum(sK2,sK4)),0) | ~$less(sK3,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | $less(sK3,sK6(X24,X26,X25,sK3))) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f884,f705])). 2.72/2.94 tff(f1955,plain,( 2.72/2.94 ( ! [X28:$int,X29:$int,X27:array_int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK2,sK4))) | ~$less(sK7(X27,X29,X28,$sum(sK2,sK4)),0) | ~$less(sK3,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK3,sK6(X27,X29,X28,sK3))) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f884,f655])). 2.72/2.94 tff(f1956,plain,( 2.72/2.94 ( ! [X30:array_int,X31:$int,X32:$int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK2,sK4))) | ~$less(sK7(X30,X32,X31,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK2,sK4))) | is_common_prefix1(X30,X32,X31,sK5) | ~is_common_prefix1(X30,X32,X31,sK4)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f276])). 2.72/2.94 tff(f1957,plain,( 2.72/2.94 ( ! [X33:array_int,X34:$int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X33,X34,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),sK5) | $less(1,sK6(X33,X34,sK4,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f599])). 2.72/2.94 tff(f1958,plain,( 2.72/2.94 ( ! [X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X35,X36,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),sK5) | $less(1,sK6(X35,X36,sK4,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f572])). 2.72/2.94 tff(f1959,plain,( 2.72/2.94 ( ! [X37:array_int,X38:$int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X37,X38,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),sK5) | is_common_prefix1(X37,X38,sK4,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f606])). 2.72/2.94 tff(f1960,plain,( 2.72/2.94 ( ! [X39:array_int,X40:$int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X39,X40,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),sK5) | is_common_prefix1(X39,X40,sK4,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f579])). 2.72/2.94 tff(f1961,plain,( 2.72/2.94 ( ! [X41:array_int,X42:$int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK2,sK4))) | ~$less(sK7(X41,sK4,X42,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),sK5) | $less(1,sK6(X41,sK4,X42,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f584])). 2.72/2.94 tff(f1962,plain,( 2.72/2.94 ( ! [X43:array_int,X44:$int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK2,sK4))) | ~$less(sK7(X43,sK4,X44,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),sK5) | $less(1,sK6(X43,sK4,X44,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f557])). 2.72/2.94 tff(f1963,plain,( 2.72/2.94 ( ! [X45:array_int,X46:$int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK2,sK4))) | ~$less(sK7(X45,sK4,X46,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),sK5) | is_common_prefix1(X45,sK4,X46,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f591])). 2.72/2.94 tff(f1964,plain,( 2.72/2.94 ( ! [X47:array_int,X48:$int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK2,sK4))) | ~$less(sK7(X47,sK4,X48,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),sK5) | is_common_prefix1(X47,sK4,X48,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f884,f564])). 2.72/2.94 tff(f1965,plain,( 2.72/2.94 $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,$sum(sK2,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK2,sK4))) | (~spl8_7 | ~spl8_48)), 2.72/2.94 inference(resolution,[],[f884,f399])). 2.72/2.94 tff(f1967,plain,( 2.72/2.94 spl8_343 <=> ~$less(sK2,$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_343])])). 2.72/2.94 tff(f1970,plain,( 2.72/2.94 spl8_344 <=> ! [X18 : array_int,X20 : $int,X19 : $int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK2,sK4))) | $less(sK2,sK6(X18,X20,X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK2,sK4))) | ~$less(sK7(X18,X20,X19,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_344])])). 2.72/2.94 tff(f1972,plain,( 2.72/2.94 ~spl8_343 | spl8_344 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1952,f233,f211,f1970,f1967])). 2.72/2.94 tff(f1974,plain,( 2.72/2.94 spl8_346 <=> ! [X22 : $int,X21 : array_int,X23 : $int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK2,sK4))) | $less(sK2,sK6(X21,X23,X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK2,sK4))) | ~$less(sK7(X21,X23,X22,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_346])])). 2.72/2.94 tff(f1976,plain,( 2.72/2.94 ~spl8_343 | spl8_346 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f1953,f233,f211,f1974,f1967])). 2.72/2.94 tff(f1978,plain,( 2.72/2.94 spl8_349 <=> ~$less(sK3,$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_349])])). 2.72/2.94 tff(f1981,plain,( 2.72/2.94 spl8_350 <=> ! [X25 : $int,X24 : array_int,X26 : $int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK2,sK4))) | $less(sK3,sK6(X24,X26,X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK2,sK4))) | ~$less(sK7(X24,X26,X25,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_350])])). 2.72/2.94 tff(f1983,plain,( 2.72/2.94 ~spl8_349 | spl8_350 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1954,f241,f211,f1981,f1978])). 2.72/2.94 tff(f1985,plain,( 2.72/2.94 spl8_352 <=> ! [X27 : array_int,X29 : $int,X28 : $int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK2,sK4))) | $less(sK3,sK6(X27,X29,X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK2,sK4))) | ~$less(sK7(X27,X29,X28,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_352])])). 2.72/2.94 tff(f1987,plain,( 2.72/2.94 ~spl8_349 | spl8_352 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f1955,f241,f211,f1985,f1978])). 2.72/2.94 tff(f1989,plain,( 2.72/2.94 spl8_355 <=> ~$less(sK4,$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_355])])). 2.72/2.94 tff(f1992,plain,( 2.72/2.94 spl8_356 <=> ! [X32 : $int,X31 : $int,X30 : array_int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK2,sK4))) | ~is_common_prefix1(X30,X32,X31,sK4) | is_common_prefix1(X30,X32,X31,sK5) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK2,sK4))) | ~$less(sK7(X30,X32,X31,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_356])])). 2.72/2.94 tff(f1994,plain,( 2.72/2.94 ~spl8_355 | spl8_356 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1956,f211,f203,f1992,f1989])). 2.72/2.94 tff(f1996,plain,( 2.72/2.94 spl8_359 <=> ~$less(1,$sum(sK2,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_359])])). 2.72/2.94 tff(f1999,plain,( 2.72/2.94 spl8_360 <=> ! [X34 : $int,X33 : array_int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X33,X34,sK4,1)) | $less(length1(int,t2tb1(X33)),sK5) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK2,sK4))) | ~$less(sK7(X33,X34,sK4,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_360])])). 2.72/2.94 tff(f2001,plain,( 2.72/2.94 ~spl8_359 | spl8_360 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1957,f211,f203,f1999,f1996])). 2.72/2.94 tff(f2003,plain,( 2.72/2.94 spl8_362 <=> ! [X36 : $int,X35 : array_int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X35,X36,sK4,1)) | $less(length1(int,t2tb1(X35)),sK5) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | ~$less(sK7(X35,X36,sK4,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_362])])). 2.72/2.94 tff(f2005,plain,( 2.72/2.94 ~spl8_359 | spl8_362 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1958,f211,f203,f2003,f1996])). 2.72/2.94 tff(f2007,plain,( 2.72/2.94 spl8_364 <=> ! [X38 : $int,X37 : array_int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X37,X38,sK4,2) | $less(length1(int,t2tb1(X37)),sK5) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK2,sK4))) | ~$less(sK7(X37,X38,sK4,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_364])])). 2.72/2.94 tff(f2009,plain,( 2.72/2.94 ~spl8_359 | spl8_364 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1959,f211,f203,f2007,f1996])). 2.72/2.94 tff(f2011,plain,( 2.72/2.94 spl8_366 <=> ! [X40 : $int,X39 : array_int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X39,X40,sK4,2) | $less(length1(int,t2tb1(X39)),sK5) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK2,sK4))) | ~$less(sK7(X39,X40,sK4,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_366])])). 2.72/2.94 tff(f2013,plain,( 2.72/2.94 ~spl8_359 | spl8_366 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1960,f211,f203,f2011,f1996])). 2.72/2.94 tff(f2015,plain,( 2.72/2.94 spl8_368 <=> ! [X42 : $int,X41 : array_int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK2,sK4))) | $less(1,sK6(X41,sK4,X42,1)) | $less(length1(int,t2tb1(X41)),sK5) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X41,sK4,X42,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_368])])). 2.72/2.94 tff(f2017,plain,( 2.72/2.94 ~spl8_359 | spl8_368 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1961,f211,f203,f2015,f1996])). 2.72/2.94 tff(f2019,plain,( 2.72/2.94 spl8_370 <=> ! [X44 : $int,X43 : array_int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK2,sK4))) | $less(1,sK6(X43,sK4,X44,1)) | $less(length1(int,t2tb1(X43)),sK5) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X43,sK4,X44,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_370])])). 2.72/2.94 tff(f2021,plain,( 2.72/2.94 ~spl8_359 | spl8_370 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1962,f211,f203,f2019,f1996])). 2.72/2.94 tff(f2023,plain,( 2.72/2.94 spl8_372 <=> ! [X46 : $int,X45 : array_int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK2,sK4))) | is_common_prefix1(X45,sK4,X46,2) | $less(length1(int,t2tb1(X45)),sK5) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X45,sK4,X46,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_372])])). 2.72/2.94 tff(f2025,plain,( 2.72/2.94 ~spl8_359 | spl8_372 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1963,f211,f203,f2023,f1996])). 2.72/2.94 tff(f2027,plain,( 2.72/2.94 spl8_374 <=> ! [X48 : $int,X47 : array_int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK2,sK4))) | is_common_prefix1(X47,sK4,X48,2) | $less(length1(int,t2tb1(X47)),sK5) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X47,sK4,X48,$sum(sK2,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_374])])). 2.72/2.94 tff(f2029,plain,( 2.72/2.94 ~spl8_359 | spl8_374 | ~spl8_2 | spl8_7), 2.72/2.94 inference(AVATAR_split_clause,[],[f1964,f211,f203,f2027,f1996])). 2.72/2.94 tff(f2030,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,$sum(sK2,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK2,sK4))) | (~spl8_7 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f1965,f146])). 2.72/2.94 tff(f2031,plain,( 2.72/2.94 $less(sK0,$sum(sK3,$sum(sK2,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK2,sK4))) | (~spl8_7 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2030,f162])). 2.72/2.94 tff(f2032,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,$sum(sK2,sK4))) | $less(sK0,$sum(sK3,$sum(sK2,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | (~spl8_7 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2031,f146])). 2.72/2.94 tff(f2033,plain,( 2.72/2.94 $less(sK0,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,$sum(sK3,$sum(sK2,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0) | ~$less(sK4,$sum(sK2,sK4)) | (~spl8_7 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2032,f162])). 2.72/2.94 tff(f2035,plain,( 2.72/2.94 spl8_377 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK2,sK4)),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_377])])). 2.72/2.94 tff(f2038,plain,( 2.72/2.94 spl8_378 <=> $less(sK0,$sum(sK3,$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_378])])). 2.72/2.94 tff(f2041,plain,( 2.72/2.94 spl8_380 <=> $less(sK0,$sum(sK2,$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_380])])). 2.72/2.94 tff(f2042,plain,( 2.72/2.94 $less(sK0,$sum(sK2,$sum(sK2,sK4))) | ~spl8_380), 2.72/2.94 inference(AVATAR_component_clause,[],[f2041])). 2.72/2.94 tff(f2043,plain,( 2.72/2.94 ~spl8_355 | ~spl8_377 | spl8_378 | spl8_380 | spl8_7 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f2033,f398,f211,f2041,f2038,f2035,f1989])). 2.72/2.94 tff(f2045,plain,( 2.72/2.94 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | $less(sK0,0) | ~is_common_prefix1(X3,X4,X5,$sum(sK2,$sum(sK2,sK4)))) ) | ~spl8_380), 2.72/2.94 inference(resolution,[],[f2042,f195])). 2.72/2.94 tff(f2046,plain,( 2.72/2.94 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,sK0) | ~is_common_prefix1(X6,X7,X8,$sum(sK2,$sum(sK2,sK4)))) ) | ~spl8_380), 2.72/2.94 inference(resolution,[],[f2042,f178])). 2.72/2.94 tff(f2048,plain,( 2.72/2.94 spl8_382 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK0)))) | ~is_common_prefix1(X3,X4,X5,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_382])])). 2.72/2.94 tff(f2050,plain,( 2.72/2.94 spl8_24 | spl8_382 | ~spl8_380), 2.72/2.94 inference(AVATAR_split_clause,[],[f2045,f2041,f2048,f485])). 2.72/2.94 tff(f2056,plain,( 2.72/2.94 ( ! [X19:$int,X20:$int,X18:array_int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK3,sK4))) | ~$less(sK7(X18,X20,X19,$sum(sK3,sK4)),0) | ~$less(sK2,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | $less(sK2,sK6(X18,X20,X19,sK2))) ) | (~spl8_11 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f892,f647])). 2.72/2.94 tff(f2057,plain,( 2.72/2.94 ( ! [X23:$int,X21:array_int,X22:$int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK3,sK4))) | ~$less(sK7(X21,X23,X22,$sum(sK3,sK4)),0) | ~$less(sK2,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK2,sK6(X21,X23,X22,sK2))) ) | (~spl8_11 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f892,f610])). 2.72/2.94 tff(f2058,plain,( 2.72/2.94 ( ! [X26:$int,X24:array_int,X25:$int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK3,sK4))) | ~$less(sK7(X24,X26,X25,$sum(sK3,sK4)),0) | ~$less(sK3,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | $less(sK3,sK6(X24,X26,X25,sK3))) ) | (~spl8_11 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f892,f705])). 2.72/2.94 tff(f2059,plain,( 2.72/2.94 ( ! [X28:$int,X29:$int,X27:array_int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK3,sK4))) | ~$less(sK7(X27,X29,X28,$sum(sK3,sK4)),0) | ~$less(sK3,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK3,sK6(X27,X29,X28,sK3))) ) | (~spl8_11 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f892,f655])). 2.72/2.94 tff(f2060,plain,( 2.72/2.94 ( ! [X30:array_int,X31:$int,X32:$int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK3,sK4))) | ~$less(sK7(X30,X32,X31,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK3,sK4))) | is_common_prefix1(X30,X32,X31,sK5) | ~is_common_prefix1(X30,X32,X31,sK4)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f276])). 2.72/2.94 tff(f2061,plain,( 2.72/2.94 ( ! [X33:array_int,X34:$int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X33,X34,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),sK5) | $less(1,sK6(X33,X34,sK4,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f599])). 2.72/2.94 tff(f2062,plain,( 2.72/2.94 ( ! [X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X35,X36,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),sK5) | $less(1,sK6(X35,X36,sK4,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f572])). 2.72/2.94 tff(f2063,plain,( 2.72/2.94 ( ! [X37:array_int,X38:$int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X37,X38,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),sK5) | is_common_prefix1(X37,X38,sK4,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f606])). 2.72/2.94 tff(f2064,plain,( 2.72/2.94 ( ! [X39:array_int,X40:$int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X39,X40,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),sK5) | is_common_prefix1(X39,X40,sK4,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f579])). 2.72/2.94 tff(f2065,plain,( 2.72/2.94 ( ! [X41:array_int,X42:$int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))) | ~$less(sK7(X41,sK4,X42,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),sK5) | $less(1,sK6(X41,sK4,X42,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f584])). 2.72/2.94 tff(f2066,plain,( 2.72/2.94 ( ! [X43:array_int,X44:$int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK3,sK4))) | ~$less(sK7(X43,sK4,X44,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),sK5) | $less(1,sK6(X43,sK4,X44,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f557])). 2.72/2.94 tff(f2067,plain,( 2.72/2.94 ( ! [X45:array_int,X46:$int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK3,sK4))) | ~$less(sK7(X45,sK4,X46,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),sK5) | is_common_prefix1(X45,sK4,X46,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f591])). 2.72/2.94 tff(f2068,plain,( 2.72/2.94 ( ! [X47:array_int,X48:$int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))) | ~$less(sK7(X47,sK4,X48,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),sK5) | is_common_prefix1(X47,sK4,X48,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.94 inference(resolution,[],[f892,f564])). 2.72/2.94 tff(f2069,plain,( 2.72/2.94 $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK3,$sum(sK3,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK3,sK4))) | (~spl8_11 | ~spl8_48)), 2.72/2.94 inference(resolution,[],[f892,f399])). 2.72/2.94 tff(f2071,plain,( 2.72/2.94 spl8_385 <=> ~$less(sK2,$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_385])])). 2.72/2.94 tff(f2074,plain,( 2.72/2.94 spl8_386 <=> ! [X18 : array_int,X20 : $int,X19 : $int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK3,sK4))) | $less(sK2,sK6(X18,X20,X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK3,sK4))) | ~$less(sK7(X18,X20,X19,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_386])])). 2.72/2.94 tff(f2076,plain,( 2.72/2.94 ~spl8_385 | spl8_386 | spl8_11 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f2056,f233,f219,f2074,f2071])). 2.72/2.94 tff(f2078,plain,( 2.72/2.94 spl8_388 <=> ! [X22 : $int,X21 : array_int,X23 : $int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK3,sK4))) | $less(sK2,sK6(X21,X23,X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK3,sK4))) | ~$less(sK7(X21,X23,X22,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_388])])). 2.72/2.94 tff(f2080,plain,( 2.72/2.94 ~spl8_385 | spl8_388 | spl8_11 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f2057,f233,f219,f2078,f2071])). 2.72/2.94 tff(f2082,plain,( 2.72/2.94 spl8_391 <=> ~$less(sK3,$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_391])])). 2.72/2.94 tff(f2085,plain,( 2.72/2.94 spl8_392 <=> ! [X25 : $int,X24 : array_int,X26 : $int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK3,sK4))) | $less(sK3,sK6(X24,X26,X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK3,sK4))) | ~$less(sK7(X24,X26,X25,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_392])])). 2.72/2.94 tff(f2087,plain,( 2.72/2.94 ~spl8_391 | spl8_392 | spl8_11 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f2058,f241,f219,f2085,f2082])). 2.72/2.94 tff(f2089,plain,( 2.72/2.94 spl8_394 <=> ! [X27 : array_int,X29 : $int,X28 : $int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK3,sK4))) | $less(sK3,sK6(X27,X29,X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK3,sK4))) | ~$less(sK7(X27,X29,X28,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_394])])). 2.72/2.94 tff(f2091,plain,( 2.72/2.94 ~spl8_391 | spl8_394 | spl8_11 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f2059,f241,f219,f2089,f2082])). 2.72/2.94 tff(f2093,plain,( 2.72/2.94 spl8_397 <=> ~$less(sK4,$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_397])])). 2.72/2.94 tff(f2096,plain,( 2.72/2.94 spl8_398 <=> ! [X32 : $int,X31 : $int,X30 : array_int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK3,sK4))) | ~is_common_prefix1(X30,X32,X31,sK4) | is_common_prefix1(X30,X32,X31,sK5) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK3,sK4))) | ~$less(sK7(X30,X32,X31,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_398])])). 2.72/2.94 tff(f2098,plain,( 2.72/2.94 ~spl8_397 | spl8_398 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2060,f219,f203,f2096,f2093])). 2.72/2.94 tff(f2100,plain,( 2.72/2.94 spl8_401 <=> ~$less(1,$sum(sK3,sK4))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_401])])). 2.72/2.94 tff(f2103,plain,( 2.72/2.94 spl8_402 <=> ! [X34 : $int,X33 : array_int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X33,X34,sK4,1)) | $less(length1(int,t2tb1(X33)),sK5) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK3,sK4))) | ~$less(sK7(X33,X34,sK4,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_402])])). 2.72/2.94 tff(f2105,plain,( 2.72/2.94 ~spl8_401 | spl8_402 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2061,f219,f203,f2103,f2100])). 2.72/2.94 tff(f2107,plain,( 2.72/2.94 spl8_404 <=> ! [X36 : $int,X35 : array_int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X35,X36,sK4,1)) | $less(length1(int,t2tb1(X35)),sK5) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | ~$less(sK7(X35,X36,sK4,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_404])])). 2.72/2.94 tff(f2109,plain,( 2.72/2.94 ~spl8_401 | spl8_404 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2062,f219,f203,f2107,f2100])). 2.72/2.94 tff(f2111,plain,( 2.72/2.94 spl8_406 <=> ! [X38 : $int,X37 : array_int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X37,X38,sK4,2) | $less(length1(int,t2tb1(X37)),sK5) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK3,sK4))) | ~$less(sK7(X37,X38,sK4,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_406])])). 2.72/2.94 tff(f2113,plain,( 2.72/2.94 ~spl8_401 | spl8_406 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2063,f219,f203,f2111,f2100])). 2.72/2.94 tff(f2115,plain,( 2.72/2.94 spl8_408 <=> ! [X40 : $int,X39 : array_int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X39,X40,sK4,2) | $less(length1(int,t2tb1(X39)),sK5) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK3,sK4))) | ~$less(sK7(X39,X40,sK4,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_408])])). 2.72/2.94 tff(f2117,plain,( 2.72/2.94 ~spl8_401 | spl8_408 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2064,f219,f203,f2115,f2100])). 2.72/2.94 tff(f2119,plain,( 2.72/2.94 spl8_410 <=> ! [X42 : $int,X41 : array_int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))) | $less(1,sK6(X41,sK4,X42,1)) | $less(length1(int,t2tb1(X41)),sK5) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X41,sK4,X42,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_410])])). 2.72/2.94 tff(f2121,plain,( 2.72/2.94 ~spl8_401 | spl8_410 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2065,f219,f203,f2119,f2100])). 2.72/2.94 tff(f2123,plain,( 2.72/2.94 spl8_412 <=> ! [X44 : $int,X43 : array_int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK3,sK4))) | $less(1,sK6(X43,sK4,X44,1)) | $less(length1(int,t2tb1(X43)),sK5) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X43,sK4,X44,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_412])])). 2.72/2.94 tff(f2125,plain,( 2.72/2.94 ~spl8_401 | spl8_412 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2066,f219,f203,f2123,f2100])). 2.72/2.94 tff(f2127,plain,( 2.72/2.94 spl8_414 <=> ! [X46 : $int,X45 : array_int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK3,sK4))) | is_common_prefix1(X45,sK4,X46,2) | $less(length1(int,t2tb1(X45)),sK5) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X45,sK4,X46,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_414])])). 2.72/2.94 tff(f2129,plain,( 2.72/2.94 ~spl8_401 | spl8_414 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2067,f219,f203,f2127,f2100])). 2.72/2.94 tff(f2131,plain,( 2.72/2.94 spl8_416 <=> ! [X48 : $int,X47 : array_int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))) | is_common_prefix1(X47,sK4,X48,2) | $less(length1(int,t2tb1(X47)),sK5) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X47,sK4,X48,$sum(sK3,sK4)),0))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_416])])). 2.72/2.94 tff(f2133,plain,( 2.72/2.94 ~spl8_401 | spl8_416 | ~spl8_2 | spl8_11), 2.72/2.94 inference(AVATAR_split_clause,[],[f2068,f219,f203,f2131,f2100])). 2.72/2.94 tff(f2134,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK3,$sum(sK3,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK3,sK4))) | (~spl8_11 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2069,f146])). 2.72/2.94 tff(f2135,plain,( 2.72/2.94 $less(sK0,$sum(sK3,$sum(sK3,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | $less(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),$sum(sK2,$sum(sK3,sK4))) | (~spl8_11 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2134,f162])). 2.72/2.94 tff(f2136,plain,( 2.72/2.94 $less(length1(int,mk_array1(int,sK0,t2tb2(sK1))),$sum(sK2,$sum(sK3,sK4))) | $less(sK0,$sum(sK3,$sum(sK3,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | (~spl8_11 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2135,f146])). 2.72/2.94 tff(f2137,plain,( 2.72/2.94 $less(sK0,$sum(sK2,$sum(sK3,sK4))) | $less(sK0,$sum(sK3,$sum(sK3,sK4))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0) | ~$less(sK4,$sum(sK3,sK4)) | (~spl8_11 | ~spl8_48)), 2.72/2.94 inference(forward_demodulation,[],[f2136,f162])). 2.72/2.94 tff(f2139,plain,( 2.72/2.94 spl8_419 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,$sum(sK3,sK4)),0)), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_419])])). 2.72/2.94 tff(f2142,plain,( 2.72/2.94 spl8_420 <=> $less(sK0,$sum(sK3,$sum(sK3,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_420])])). 2.72/2.94 tff(f2145,plain,( 2.72/2.94 spl8_422 <=> $less(sK0,$sum(sK2,$sum(sK3,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_422])])). 2.72/2.94 tff(f2147,plain,( 2.72/2.94 ~spl8_397 | ~spl8_419 | spl8_420 | spl8_422 | spl8_11 | ~spl8_48), 2.72/2.94 inference(AVATAR_split_clause,[],[f2137,f398,f219,f2145,f2142,f2139,f2093])). 2.72/2.94 tff(f2151,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X13:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),sK0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(sK0,sK6(X12,X13,X14,sK0))) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f926,f726])). 2.72/2.94 tff(f2152,plain,( 2.72/2.94 ( ! [X17:$int,X15:array_int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),sK0) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(sK7(X15,X16,X17,sK0),sK0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(sK0,sK6(X15,X16,X17,sK0))) ) | (~spl8_7 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f926,f715])). 2.72/2.94 tff(f2168,plain,( 2.72/2.94 spl8_424 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK2,sK4))))) | $less(sK0,sK6(X12,X13,X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_424])])). 2.72/2.94 tff(f2170,plain,( 2.72/2.94 ~spl8_9 | spl8_424 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f2151,f249,f211,f2168,f967])). 2.72/2.94 tff(f2172,plain,( 2.72/2.94 spl8_426 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,$sum(sK2,sK4))))) | $less(sK0,sK6(X15,X16,X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(sK7(X15,X16,X17,sK0),sK0) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_426])])). 2.72/2.94 tff(f2174,plain,( 2.72/2.94 ~spl8_9 | spl8_426 | spl8_7 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f2152,f249,f211,f2172,f967])). 2.72/2.94 tff(f2179,plain,( 2.72/2.94 ( ! [X14:$int,X12:array_int,X13:$int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),sK0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(sK0,sK6(X12,X13,X14,sK0))) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f1024,f726])). 2.72/2.94 tff(f2180,plain,( 2.72/2.94 ( ! [X17:$int,X15:array_int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),sK0) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(sK7(X15,X16,X17,sK0),sK0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(sK0,sK6(X15,X16,X17,sK0))) ) | (~spl8_11 | ~spl8_25)), 2.72/2.94 inference(resolution,[],[f1024,f715])). 2.72/2.94 tff(f2196,plain,( 2.72/2.94 spl8_428 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,$sum(sK3,sK4))))) | $less(sK0,sK6(X12,X13,X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_428])])). 2.72/2.94 tff(f2198,plain,( 2.72/2.94 ~spl8_13 | spl8_428 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f2179,f249,f219,f2196,f1065])). 2.72/2.94 tff(f2200,plain,( 2.72/2.94 spl8_430 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,$sum(sK3,sK4))))) | $less(sK0,sK6(X15,X16,X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(sK7(X15,X16,X17,sK0),sK0) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_430])])). 2.72/2.94 tff(f2202,plain,( 2.72/2.94 ~spl8_13 | spl8_430 | spl8_11 | spl8_25), 2.72/2.94 inference(AVATAR_split_clause,[],[f2180,f249,f219,f2200,f1065])). 2.72/2.94 tff(f2213,plain,( 2.72/2.94 ( ! [X19:$int,X20:$int,X18:array_int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK2,sK4))) | $less(sK7(X18,X20,X19,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(sK2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | $less(sK2,sK6(X18,X20,X19,sK2))) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f907,f647])). 2.72/2.94 tff(f2214,plain,( 2.72/2.94 ( ! [X23:$int,X21:array_int,X22:$int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK2,sK4))) | $less(sK7(X21,X23,X22,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(sK2,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK2,sK6(X21,X23,X22,sK2))) ) | (~spl8_7 | ~spl8_17)), 2.72/2.94 inference(resolution,[],[f907,f610])). 2.72/2.94 tff(f2215,plain,( 2.72/2.94 ( ! [X26:$int,X24:array_int,X25:$int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK2,sK4))) | $less(sK7(X24,X26,X25,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(sK3,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | $less(sK3,sK6(X24,X26,X25,sK3))) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f907,f705])). 2.72/2.94 tff(f2216,plain,( 2.72/2.94 ( ! [X28:$int,X29:$int,X27:array_int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK2,sK4))) | $less(sK7(X27,X29,X28,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(sK3,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK3,sK6(X27,X29,X28,sK3))) ) | (~spl8_7 | ~spl8_21)), 2.72/2.94 inference(resolution,[],[f907,f655])). 2.72/2.94 tff(f2217,plain,( 2.72/2.94 ( ! [X30:array_int,X31:$int,X32:$int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK2,sK4))) | $less(sK7(X30,X32,X31,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(sK4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK2,sK4))) | is_common_prefix1(X30,X32,X31,sK5) | ~is_common_prefix1(X30,X32,X31,sK4)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f276])). 2.72/2.94 tff(f2218,plain,( 2.72/2.94 ( ! [X33:array_int,X34:$int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X33,X34,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),sK5) | $less(1,sK6(X33,X34,sK4,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f599])). 2.72/2.94 tff(f2219,plain,( 2.72/2.94 ( ! [X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X35,X36,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),sK5) | $less(1,sK6(X35,X36,sK4,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f572])). 2.72/2.94 tff(f2220,plain,( 2.72/2.94 ( ! [X37:array_int,X38:$int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X37,X38,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),sK5) | is_common_prefix1(X37,X38,sK4,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f606])). 2.72/2.94 tff(f2221,plain,( 2.72/2.94 ( ! [X39:array_int,X40:$int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X39,X40,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),sK5) | is_common_prefix1(X39,X40,sK4,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f579])). 2.72/2.94 tff(f2222,plain,( 2.72/2.94 ( ! [X41:array_int,X42:$int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK2,sK4))) | $less(sK7(X41,sK4,X42,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),sK5) | $less(1,sK6(X41,sK4,X42,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f584])). 2.72/2.94 tff(f2223,plain,( 2.72/2.94 ( ! [X43:array_int,X44:$int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK2,sK4))) | $less(sK7(X43,sK4,X44,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),sK5) | $less(1,sK6(X43,sK4,X44,1))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f557])). 2.72/2.94 tff(f2224,plain,( 2.72/2.94 ( ! [X45:array_int,X46:$int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK2,sK4))) | $less(sK7(X45,sK4,X46,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),sK5) | is_common_prefix1(X45,sK4,X46,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f591])). 2.72/2.94 tff(f2225,plain,( 2.72/2.94 ( ! [X47:array_int,X48:$int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK2,sK4))) | $less(sK7(X47,sK4,X48,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),sK5) | is_common_prefix1(X47,sK4,X48,2)) ) | (~spl8_2 | ~spl8_7)), 2.72/2.94 inference(resolution,[],[f907,f564])). 2.72/2.94 tff(f2228,plain,( 2.72/2.94 spl8_432 <=> ! [X18 : array_int,X20 : $int,X19 : $int] : ($less(length1(int,t2tb1(X18)),$sum(X19,$sum(sK2,sK4))) | $less(sK2,sK6(X18,X20,X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,sK2)) | ~$less(sK7(X18,X20,X19,sK2),0) | $less(length1(int,t2tb1(X18)),$sum(X19,sK2)) | $less(length1(int,t2tb1(X18)),$sum(X20,$sum(sK2,sK4))) | $less(sK7(X18,X20,X19,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_432])])). 2.72/2.94 tff(f2230,plain,( 2.72/2.94 ~spl8_343 | spl8_432 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f2213,f233,f211,f2228,f1967])). 2.72/2.94 tff(f2232,plain,( 2.72/2.94 spl8_434 <=> ! [X22 : $int,X21 : array_int,X23 : $int] : ($less(length1(int,t2tb1(X21)),$sum(X22,$sum(sK2,sK4))) | $less(sK2,sK6(X21,X23,X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK7(X21,X23,X22,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,$sum(sK2,sK4))) | $less(sK7(X21,X23,X22,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_434])])). 2.72/2.94 tff(f2234,plain,( 2.72/2.94 ~spl8_343 | spl8_434 | spl8_7 | spl8_17), 2.72/2.94 inference(AVATAR_split_clause,[],[f2214,f233,f211,f2232,f1967])). 2.72/2.94 tff(f2236,plain,( 2.72/2.94 spl8_436 <=> ! [X25 : $int,X24 : array_int,X26 : $int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK2,sK4))) | $less(sK3,sK6(X24,X26,X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK2,sK4))) | $less(sK7(X24,X26,X25,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_436])])). 2.72/2.94 tff(f2238,plain,( 2.72/2.94 ~spl8_349 | spl8_436 | spl8_7 | spl8_21), 2.72/2.94 inference(AVATAR_split_clause,[],[f2215,f241,f211,f2236,f1978])). 2.72/2.94 tff(f2240,plain,( 2.72/2.94 spl8_438 <=> ! [X27 : array_int,X29 : $int,X28 : $int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK2,sK4))) | $less(sK3,sK6(X27,X29,X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK2,sK4))) | $less(sK7(X27,X29,X28,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.94 introduced(AVATAR_definition,[new_symbols(naming,[spl8_438])])). 2.72/2.95 tff(f2242,plain,( 2.72/2.95 ~spl8_349 | spl8_438 | spl8_7 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2216,f241,f211,f2240,f1978])). 2.72/2.95 tff(f2244,plain,( 2.72/2.95 spl8_440 <=> ! [X32 : $int,X31 : $int,X30 : array_int] : ($less(length1(int,t2tb1(X30)),$sum(X31,$sum(sK2,sK4))) | ~is_common_prefix1(X30,X32,X31,sK4) | is_common_prefix1(X30,X32,X31,sK5) | $less(length1(int,t2tb1(X30)),$sum(X32,$sum(sK2,sK4))) | $less(sK7(X30,X32,X31,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_440])])). 2.72/2.95 tff(f2246,plain,( 2.72/2.95 ~spl8_355 | spl8_440 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2217,f211,f203,f2244,f1989])). 2.72/2.95 tff(f2248,plain,( 2.72/2.95 spl8_442 <=> ! [X34 : $int,X33 : array_int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X33,X34,sK4,1)) | $less(length1(int,t2tb1(X33)),sK5) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK2,sK4))) | $less(sK7(X33,X34,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_442])])). 2.72/2.95 tff(f2250,plain,( 2.72/2.95 ~spl8_359 | spl8_442 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2218,f211,f203,f2248,f1996])). 2.72/2.95 tff(f2252,plain,( 2.72/2.95 spl8_444 <=> ! [X36 : $int,X35 : array_int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X35,X36,sK4,1)) | $less(length1(int,t2tb1(X35)),sK5) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | $less(sK7(X35,X36,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_444])])). 2.72/2.95 tff(f2254,plain,( 2.72/2.95 ~spl8_359 | spl8_444 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2219,f211,f203,f2252,f1996])). 2.72/2.95 tff(f2256,plain,( 2.72/2.95 spl8_446 <=> ! [X38 : $int,X37 : array_int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X37,X38,sK4,2) | $less(length1(int,t2tb1(X37)),sK5) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK2,sK4))) | $less(sK7(X37,X38,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_446])])). 2.72/2.95 tff(f2258,plain,( 2.72/2.95 ~spl8_359 | spl8_446 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2220,f211,f203,f2256,f1996])). 2.72/2.95 tff(f2260,plain,( 2.72/2.95 spl8_448 <=> ! [X40 : $int,X39 : array_int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X39,X40,sK4,2) | $less(length1(int,t2tb1(X39)),sK5) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK2,sK4))) | $less(sK7(X39,X40,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_448])])). 2.72/2.95 tff(f2262,plain,( 2.72/2.95 ~spl8_359 | spl8_448 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2221,f211,f203,f2260,f1996])). 2.72/2.95 tff(f2264,plain,( 2.72/2.95 spl8_450 <=> ! [X42 : $int,X41 : array_int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK2,sK4))) | $less(1,sK6(X41,sK4,X42,1)) | $less(length1(int,t2tb1(X41)),sK5) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X41,sK4,X42,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_450])])). 2.72/2.95 tff(f2266,plain,( 2.72/2.95 ~spl8_359 | spl8_450 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2222,f211,f203,f2264,f1996])). 2.72/2.95 tff(f2268,plain,( 2.72/2.95 spl8_452 <=> ! [X44 : $int,X43 : array_int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK2,sK4))) | $less(1,sK6(X43,sK4,X44,1)) | $less(length1(int,t2tb1(X43)),sK5) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X43,sK4,X44,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_452])])). 2.72/2.95 tff(f2270,plain,( 2.72/2.95 ~spl8_359 | spl8_452 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2223,f211,f203,f2268,f1996])). 2.72/2.95 tff(f2272,plain,( 2.72/2.95 spl8_454 <=> ! [X46 : $int,X45 : array_int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK2,sK4))) | is_common_prefix1(X45,sK4,X46,2) | $less(length1(int,t2tb1(X45)),sK5) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X45,sK4,X46,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_454])])). 2.72/2.95 tff(f2274,plain,( 2.72/2.95 ~spl8_359 | spl8_454 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2224,f211,f203,f2272,f1996])). 2.72/2.95 tff(f2276,plain,( 2.72/2.95 spl8_456 <=> ! [X48 : $int,X47 : array_int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK2,sK4))) | is_common_prefix1(X47,sK4,X48,2) | $less(length1(int,t2tb1(X47)),sK5) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X47,sK4,X48,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_456])])). 2.72/2.95 tff(f2278,plain,( 2.72/2.95 ~spl8_359 | spl8_456 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2225,f211,f203,f2276,f1996])). 2.72/2.95 tff(f2291,plain,( 2.72/2.95 ( ! [X26:$int,X24:array_int,X25:$int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK3,sK4))) | $less(sK7(X24,X26,X25,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(sK3,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | $less(sK3,sK6(X24,X26,X25,sK3))) ) | (~spl8_11 | ~spl8_21)), 2.72/2.95 inference(resolution,[],[f916,f705])). 2.72/2.95 tff(f2292,plain,( 2.72/2.95 ( ! [X28:$int,X29:$int,X27:array_int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK3,sK4))) | $less(sK7(X27,X29,X28,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(sK3,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK3,sK6(X27,X29,X28,sK3))) ) | (~spl8_11 | ~spl8_21)), 2.72/2.95 inference(resolution,[],[f916,f655])). 2.72/2.95 tff(f2294,plain,( 2.72/2.95 ( ! [X33:array_int,X34:$int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X33,X34,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),sK5) | $less(1,sK6(X33,X34,sK4,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f599])). 2.72/2.95 tff(f2295,plain,( 2.72/2.95 ( ! [X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X35,X36,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),sK5) | $less(1,sK6(X35,X36,sK4,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f572])). 2.72/2.95 tff(f2296,plain,( 2.72/2.95 ( ! [X37:array_int,X38:$int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X37,X38,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),sK5) | is_common_prefix1(X37,X38,sK4,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f606])). 2.72/2.95 tff(f2297,plain,( 2.72/2.95 ( ! [X39:array_int,X40:$int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X39,X40,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),sK5) | is_common_prefix1(X39,X40,sK4,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f579])). 2.72/2.95 tff(f2298,plain,( 2.72/2.95 ( ! [X41:array_int,X42:$int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))) | $less(sK7(X41,sK4,X42,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),sK5) | $less(1,sK6(X41,sK4,X42,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f584])). 2.72/2.95 tff(f2299,plain,( 2.72/2.95 ( ! [X43:array_int,X44:$int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK3,sK4))) | $less(sK7(X43,sK4,X44,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),sK5) | $less(1,sK6(X43,sK4,X44,1))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f557])). 2.72/2.95 tff(f2300,plain,( 2.72/2.95 ( ! [X45:array_int,X46:$int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK3,sK4))) | $less(sK7(X45,sK4,X46,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),sK5) | is_common_prefix1(X45,sK4,X46,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f591])). 2.72/2.95 tff(f2301,plain,( 2.72/2.95 ( ! [X47:array_int,X48:$int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))) | $less(sK7(X47,sK4,X48,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),sK5) | is_common_prefix1(X47,sK4,X48,2)) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f916,f564])). 2.72/2.95 tff(f2304,plain,( 2.72/2.95 spl8_458 <=> ! [X25 : $int,X24 : array_int,X26 : $int] : ($less(length1(int,t2tb1(X24)),$sum(X25,$sum(sK3,sK4))) | $less(sK3,sK6(X24,X26,X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,sK3)) | ~$less(sK7(X24,X26,X25,sK3),0) | $less(length1(int,t2tb1(X24)),$sum(X25,sK3)) | $less(length1(int,t2tb1(X24)),$sum(X26,$sum(sK3,sK4))) | $less(sK7(X24,X26,X25,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_458])])). 2.72/2.95 tff(f2306,plain,( 2.72/2.95 ~spl8_391 | spl8_458 | spl8_11 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2291,f241,f219,f2304,f2082])). 2.72/2.95 tff(f2308,plain,( 2.72/2.95 spl8_460 <=> ! [X27 : array_int,X29 : $int,X28 : $int] : ($less(length1(int,t2tb1(X27)),$sum(X28,$sum(sK3,sK4))) | $less(sK3,sK6(X27,X29,X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(sK7(X27,X29,X28,sK3),sK3) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,$sum(sK3,sK4))) | $less(sK7(X27,X29,X28,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_460])])). 2.72/2.95 tff(f2310,plain,( 2.72/2.95 ~spl8_391 | spl8_460 | spl8_11 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2292,f241,f219,f2308,f2082])). 2.72/2.95 tff(f2312,plain,( 2.72/2.95 spl8_462 <=> ! [X34 : $int,X33 : array_int] : ($less(length1(int,t2tb1(X33)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X33,X34,sK4,1)) | $less(length1(int,t2tb1(X33)),sK5) | $less(sK7(X33,X34,sK4,1),1) | $less(length1(int,t2tb1(X33)),$sum(X34,1)) | $less(length1(int,t2tb1(X33)),$sum(X34,$sum(sK3,sK4))) | $less(sK7(X33,X34,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_462])])). 2.72/2.95 tff(f2314,plain,( 2.72/2.95 ~spl8_401 | spl8_462 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2294,f219,f203,f2312,f2100])). 2.72/2.95 tff(f2316,plain,( 2.72/2.95 spl8_464 <=> ! [X36 : $int,X35 : array_int] : ($less(length1(int,t2tb1(X35)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X35,X36,sK4,1)) | $less(length1(int,t2tb1(X35)),sK5) | ~$less(sK7(X35,X36,sK4,1),0) | $less(length1(int,t2tb1(X35)),$sum(X36,1)) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | $less(sK7(X35,X36,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_464])])). 2.72/2.95 tff(f2318,plain,( 2.72/2.95 ~spl8_401 | spl8_464 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2295,f219,f203,f2316,f2100])). 2.72/2.95 tff(f2320,plain,( 2.72/2.95 spl8_466 <=> ! [X38 : $int,X37 : array_int] : ($less(length1(int,t2tb1(X37)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X37,X38,sK4,2) | $less(length1(int,t2tb1(X37)),sK5) | $less(sK7(X37,X38,sK4,1),1) | $less(length1(int,t2tb1(X37)),$sum(X38,1)) | $less(length1(int,t2tb1(X37)),$sum(X38,$sum(sK3,sK4))) | $less(sK7(X37,X38,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_466])])). 2.72/2.95 tff(f2322,plain,( 2.72/2.95 ~spl8_401 | spl8_466 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2296,f219,f203,f2320,f2100])). 2.72/2.95 tff(f2324,plain,( 2.72/2.95 spl8_468 <=> ! [X40 : $int,X39 : array_int] : ($less(length1(int,t2tb1(X39)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X39,X40,sK4,2) | $less(length1(int,t2tb1(X39)),sK5) | ~$less(sK7(X39,X40,sK4,1),0) | $less(length1(int,t2tb1(X39)),$sum(X40,1)) | $less(length1(int,t2tb1(X39)),$sum(X40,$sum(sK3,sK4))) | $less(sK7(X39,X40,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_468])])). 2.72/2.95 tff(f2326,plain,( 2.72/2.95 ~spl8_401 | spl8_468 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2297,f219,f203,f2324,f2100])). 2.72/2.95 tff(f2328,plain,( 2.72/2.95 spl8_470 <=> ! [X42 : $int,X41 : array_int] : ($less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))) | $less(1,sK6(X41,sK4,X42,1)) | $less(length1(int,t2tb1(X41)),sK5) | $less(sK7(X41,sK4,X42,1),1) | $less(length1(int,t2tb1(X41)),$sum(X42,1)) | $less(length1(int,t2tb1(X41)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X41,sK4,X42,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_470])])). 2.72/2.95 tff(f2330,plain,( 2.72/2.95 ~spl8_401 | spl8_470 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2298,f219,f203,f2328,f2100])). 2.72/2.95 tff(f2332,plain,( 2.72/2.95 spl8_472 <=> ! [X44 : $int,X43 : array_int] : ($less(length1(int,t2tb1(X43)),$sum(X44,$sum(sK3,sK4))) | $less(1,sK6(X43,sK4,X44,1)) | $less(length1(int,t2tb1(X43)),sK5) | ~$less(sK7(X43,sK4,X44,1),0) | $less(length1(int,t2tb1(X43)),$sum(X44,1)) | $less(length1(int,t2tb1(X43)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X43,sK4,X44,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_472])])). 2.72/2.95 tff(f2334,plain,( 2.72/2.95 ~spl8_401 | spl8_472 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2299,f219,f203,f2332,f2100])). 2.72/2.95 tff(f2336,plain,( 2.72/2.95 spl8_474 <=> ! [X46 : $int,X45 : array_int] : ($less(length1(int,t2tb1(X45)),$sum(X46,$sum(sK3,sK4))) | is_common_prefix1(X45,sK4,X46,2) | $less(length1(int,t2tb1(X45)),sK5) | $less(sK7(X45,sK4,X46,1),1) | $less(length1(int,t2tb1(X45)),$sum(X46,1)) | $less(length1(int,t2tb1(X45)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X45,sK4,X46,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_474])])). 2.72/2.95 tff(f2338,plain,( 2.72/2.95 ~spl8_401 | spl8_474 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2300,f219,f203,f2336,f2100])). 2.72/2.95 tff(f2340,plain,( 2.72/2.95 spl8_476 <=> ! [X48 : $int,X47 : array_int] : ($less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))) | is_common_prefix1(X47,sK4,X48,2) | $less(length1(int,t2tb1(X47)),sK5) | ~$less(sK7(X47,sK4,X48,1),0) | $less(length1(int,t2tb1(X47)),$sum(X48,1)) | $less(length1(int,t2tb1(X47)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X47,sK4,X48,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_476])])). 2.72/2.95 tff(f2342,plain,( 2.72/2.95 ~spl8_401 | spl8_476 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2301,f219,f203,f2340,f2100])). 2.72/2.95 tff(f2386,plain,( 2.72/2.95 ( ! [X23:$int,X21:array_int,X19:$int,X22:$int,X20:$int,X18:array_int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK2)) | is_longest_common_prefix1(X21,X22,X23,sK2) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(sK7(X21,X22,X23,sK2),sK2)) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f794,f181])). 2.72/2.95 tff(f2387,plain,( 2.72/2.95 ( ! [X28:$int,X26:$int,X24:array_int,X29:$int,X27:array_int,X25:$int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK2)) | is_longest_common_prefix1(X27,X28,X29,sK2) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X27)),$sum(X28,sK2)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK2)) | ~$less(sK7(X27,X28,X29,sK2),0)) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f794,f182])). 2.72/2.95 tff(f2388,plain,( 2.72/2.95 ( ! [X30:array_int,X35:$int,X33:array_int,X31:$int,X34:$int,X32:$int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK2)) | is_longest_common_prefix1(X33,X34,X35,sK2) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X33)),$sum(X34,sK2)) | $less(length1(int,t2tb1(X33)),$sum(X35,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK2)))))) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f794,f196])). 2.72/2.95 tff(f2391,plain,( 2.72/2.95 spl8_478 <=> ! [X18 : array_int,X20 : $int,X22 : $int,X19 : $int,X21 : array_int,X23 : $int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK2)) | $less(sK7(X21,X22,X23,sK2),sK2) | $less(length1(int,t2tb1(X21)),$sum(X23,sK2)) | $less(length1(int,t2tb1(X21)),$sum(X22,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK2)))) | is_longest_common_prefix1(X21,X22,X23,sK2))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_478])])). 2.72/2.95 tff(f2393,plain,( 2.72/2.95 spl8_16 | spl8_478 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2386,f233,f2391,f1573])). 2.72/2.95 tff(f2395,plain,( 2.72/2.95 spl8_480 <=> ! [X25 : $int,X27 : array_int,X29 : $int,X24 : array_int,X26 : $int,X28 : $int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK2)) | ~$less(sK7(X27,X28,X29,sK2),0) | $less(length1(int,t2tb1(X27)),$sum(X29,sK2)) | $less(length1(int,t2tb1(X27)),$sum(X28,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK2)))) | is_longest_common_prefix1(X27,X28,X29,sK2))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_480])])). 2.72/2.95 tff(f2397,plain,( 2.72/2.95 spl8_16 | spl8_480 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2387,f233,f2395,f1573])). 2.72/2.95 tff(f2399,plain,( 2.72/2.95 spl8_482 <=> ! [X32 : $int,X34 : $int,X31 : $int,X33 : array_int,X35 : $int,X30 : array_int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK2))))) | $less(length1(int,t2tb1(X33)),$sum(X35,sK2)) | $less(length1(int,t2tb1(X33)),$sum(X34,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK2)))) | is_longest_common_prefix1(X33,X34,X35,sK2))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_482])])). 2.72/2.95 tff(f2401,plain,( 2.72/2.95 spl8_16 | spl8_482 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2388,f233,f2399,f1573])). 2.72/2.95 tff(f2406,plain,( 2.72/2.95 ( ! [X23:$int,X21:array_int,X19:$int,X22:$int,X20:$int,X18:array_int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK3)) | is_longest_common_prefix1(X21,X22,X23,sK3) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X21)),$sum(X22,sK3)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK3)) | $less(sK7(X21,X22,X23,sK3),sK3)) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f814,f181])). 2.72/2.95 tff(f2407,plain,( 2.72/2.95 ( ! [X28:$int,X26:$int,X24:array_int,X29:$int,X27:array_int,X25:$int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK3)) | is_longest_common_prefix1(X27,X28,X29,sK3) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | ~$less(sK7(X27,X28,X29,sK3),0)) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f814,f182])). 2.72/2.95 tff(f2408,plain,( 2.72/2.95 ( ! [X30:array_int,X35:$int,X33:array_int,X31:$int,X34:$int,X32:$int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK3)) | is_longest_common_prefix1(X33,X34,X35,sK3) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X33)),$sum(X34,sK3)) | $less(length1(int,t2tb1(X33)),$sum(X35,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK3)))))) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f814,f196])). 2.72/2.95 tff(f2411,plain,( 2.72/2.95 spl8_484 <=> ! [X18 : array_int,X20 : $int,X22 : $int,X19 : $int,X21 : array_int,X23 : $int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK3)) | $less(sK7(X21,X22,X23,sK3),sK3) | $less(length1(int,t2tb1(X21)),$sum(X23,sK3)) | $less(length1(int,t2tb1(X21)),$sum(X22,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK3)))) | is_longest_common_prefix1(X21,X22,X23,sK3))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_484])])). 2.72/2.95 tff(f2413,plain,( 2.72/2.95 spl8_20 | spl8_484 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2406,f241,f2411,f1589])). 2.72/2.95 tff(f2415,plain,( 2.72/2.95 spl8_486 <=> ! [X25 : $int,X27 : array_int,X29 : $int,X24 : array_int,X26 : $int,X28 : $int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK3)) | ~$less(sK7(X27,X28,X29,sK3),0) | $less(length1(int,t2tb1(X27)),$sum(X29,sK3)) | $less(length1(int,t2tb1(X27)),$sum(X28,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK3)))) | is_longest_common_prefix1(X27,X28,X29,sK3))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_486])])). 2.72/2.95 tff(f2417,plain,( 2.72/2.95 spl8_20 | spl8_486 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2407,f241,f2415,f1589])). 2.72/2.95 tff(f2419,plain,( 2.72/2.95 spl8_488 <=> ! [X32 : $int,X34 : $int,X31 : $int,X33 : array_int,X35 : $int,X30 : array_int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK3))))) | $less(length1(int,t2tb1(X33)),$sum(X35,sK3)) | $less(length1(int,t2tb1(X33)),$sum(X34,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK3)))) | is_longest_common_prefix1(X33,X34,X35,sK3))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_488])])). 2.72/2.95 tff(f2421,plain,( 2.72/2.95 spl8_20 | spl8_488 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2408,f241,f2419,f1589])). 2.72/2.95 tff(f2425,plain,( 2.72/2.95 ( ! [X23:$int,X21:array_int,X19:$int,X22:$int,X20:$int,X18:array_int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK0)) | is_longest_common_prefix1(X21,X22,X23,sK0) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X21)),$sum(X22,sK0)) | $less(length1(int,t2tb1(X21)),$sum(X23,sK0)) | $less(sK7(X21,X22,X23,sK0),sK0)) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f833,f181])). 2.72/2.95 tff(f2426,plain,( 2.72/2.95 ( ! [X28:$int,X26:$int,X24:array_int,X29:$int,X27:array_int,X25:$int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK0)) | is_longest_common_prefix1(X27,X28,X29,sK0) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X27)),$sum(X28,sK0)) | $less(length1(int,t2tb1(X27)),$sum(X29,sK0)) | ~$less(sK7(X27,X28,X29,sK0),0)) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f833,f182])). 2.72/2.95 tff(f2427,plain,( 2.72/2.95 ( ! [X30:array_int,X35:$int,X33:array_int,X31:$int,X34:$int,X32:$int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK0)) | is_longest_common_prefix1(X33,X34,X35,sK0) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK0)))))) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f833,f196])). 2.72/2.95 tff(f2430,plain,( 2.72/2.95 spl8_490 <=> ! [X18 : array_int,X20 : $int,X22 : $int,X19 : $int,X21 : array_int,X23 : $int] : (~is_common_prefix1(X18,X19,X20,sK6(X21,X22,X23,sK0)) | $less(sK7(X21,X22,X23,sK0),sK0) | $less(length1(int,t2tb1(X21)),$sum(X23,sK0)) | $less(length1(int,t2tb1(X21)),$sum(X22,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK0)))) | is_longest_common_prefix1(X21,X22,X23,sK0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_490])])). 2.72/2.95 tff(f2432,plain,( 2.72/2.95 spl8_24 | spl8_490 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2425,f249,f2430,f485])). 2.72/2.95 tff(f2434,plain,( 2.72/2.95 spl8_492 <=> ! [X25 : $int,X27 : array_int,X29 : $int,X24 : array_int,X26 : $int,X28 : $int] : (~is_common_prefix1(X24,X25,X26,sK6(X27,X28,X29,sK0)) | ~$less(sK7(X27,X28,X29,sK0),0) | $less(length1(int,t2tb1(X27)),$sum(X29,sK0)) | $less(length1(int,t2tb1(X27)),$sum(X28,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X25,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X24)),t2tb($sum(X26,sK0)))) | is_longest_common_prefix1(X27,X28,X29,sK0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_492])])). 2.72/2.95 tff(f2436,plain,( 2.72/2.95 spl8_24 | spl8_492 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2426,f249,f2434,f485])). 2.72/2.95 tff(f2438,plain,( 2.72/2.95 spl8_494 <=> ! [X32 : $int,X34 : $int,X31 : $int,X33 : array_int,X35 : $int,X30 : array_int] : (~is_common_prefix1(X30,X31,X32,sK6(X33,X34,X35,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,sK7(X33,X34,X35,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,sK7(X33,X34,X35,sK0))))) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X31,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X30)),t2tb($sum(X32,sK0)))) | is_longest_common_prefix1(X33,X34,X35,sK0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_494])])). 2.72/2.95 tff(f2440,plain,( 2.72/2.95 spl8_24 | spl8_494 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2427,f249,f2438,f485])). 2.72/2.95 tff(f2443,plain,( 2.72/2.95 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_common_prefix1(X6,X7,X8,sK0) | $less(sK0,sK6(X6,X7,X8,sK0)) | ~is_common_prefix1(X6,X7,X8,$sum(sK2,$sum(sK2,sK4)))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2046,f179])). 2.72/2.95 tff(f2444,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,sK0) | is_common_prefix1(X9,X10,X11,sK6(X9,X10,X11,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4)))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2046,f180])). 2.72/2.95 tff(f2445,plain,( 2.72/2.95 ( ! [X14:$int,X12:array_int,X13:$int] : (~is_common_prefix1(X12,X13,X14,sK0) | is_common_prefix1(X12,X13,X14,$sum(sK0,1)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4)))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2046,f175])). 2.72/2.95 tff(f2478,plain,( 2.72/2.95 ( ! [X35:$int,X33:array_int,X34:$int] : (tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X33,X34,X35,$sum(sK2,sK4)) | ~$less(sK7(X33,X34,X35,sK0),0) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0))) ) | (~spl8_7 | ~spl8_62)), 2.72/2.95 inference(resolution,[],[f927,f493])). 2.72/2.95 tff(f2479,plain,( 2.72/2.95 ( ! [X37:$int,X38:$int,X36:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X37,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X38,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X36,X37,X38,$sum(sK2,sK4)) | $less(sK7(X36,X37,X38,sK0),sK0) | $less(length1(int,t2tb1(X36)),$sum(X38,sK0)) | $less(length1(int,t2tb1(X36)),$sum(X37,sK0))) ) | (~spl8_7 | ~spl8_60)), 2.72/2.95 inference(resolution,[],[f927,f489])). 2.72/2.95 tff(f2480,plain,( 2.72/2.95 ( ! [X39:array_int,X41:$int,X40:$int] : (tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X40,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X41,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum($sum(sK3,sK4),1)) | ~is_common_prefix1(X39,X40,X41,$sum(sK3,sK4)) | ~$less(sK7(X39,X40,X41,sK0),0) | $less(length1(int,t2tb1(X39)),$sum(X41,sK0)) | $less(length1(int,t2tb1(X39)),$sum(X40,sK0))) ) | (~spl8_7 | ~spl8_68)), 2.72/2.95 inference(resolution,[],[f927,f511])). 2.72/2.95 tff(f2481,plain,( 2.72/2.95 ( ! [X43:$int,X44:$int,X42:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X43,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X44,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum($sum(sK3,sK4),1)) | ~is_common_prefix1(X42,X43,X44,$sum(sK3,sK4)) | $less(sK7(X42,X43,X44,sK0),sK0) | $less(length1(int,t2tb1(X42)),$sum(X44,sK0)) | $less(length1(int,t2tb1(X42)),$sum(X43,sK0))) ) | (~spl8_7 | ~spl8_66)), 2.72/2.95 inference(resolution,[],[f927,f507])). 2.72/2.95 tff(f2493,plain,( 2.72/2.95 ( ! [X72:$int,X71:array_int,X73:$int] : (tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | is_common_prefix1(X71,X72,X73,sK4)) ) | (~spl8_7 | ~spl8_74)), 2.72/2.95 inference(resolution,[],[f927,f545])). 2.72/2.95 tff(f2501,plain,( 2.72/2.95 spl8_497 <=> ~$less($sum(sK2,sK4),$sum($sum(sK2,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_497])])). 2.72/2.95 tff(f2504,plain,( 2.72/2.95 spl8_498 <=> ! [X34 : $int,X33 : array_int,X35 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | ~$less(sK7(X33,X34,X35,sK0),0) | ~is_common_prefix1(X33,X34,X35,$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_498])])). 2.72/2.95 tff(f2506,plain,( 2.72/2.95 ~spl8_497 | spl8_498 | spl8_7 | ~spl8_62), 2.72/2.95 inference(AVATAR_split_clause,[],[f2478,f492,f211,f2504,f2501])). 2.72/2.95 tff(f2508,plain,( 2.72/2.95 spl8_500 <=> ! [X36 : array_int,X38 : $int,X37 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X37,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X38,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X36)),$sum(X37,sK0)) | $less(length1(int,t2tb1(X36)),$sum(X38,sK0)) | $less(sK7(X36,X37,X38,sK0),sK0) | ~is_common_prefix1(X36,X37,X38,$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_500])])). 2.72/2.95 tff(f2510,plain,( 2.72/2.95 ~spl8_497 | spl8_500 | spl8_7 | ~spl8_60), 2.72/2.95 inference(AVATAR_split_clause,[],[f2479,f488,f211,f2508,f2501])). 2.72/2.95 tff(f2512,plain,( 2.72/2.95 spl8_503 <=> ~$less($sum(sK2,sK4),$sum($sum(sK3,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_503])])). 2.72/2.95 tff(f2515,plain,( 2.72/2.95 spl8_504 <=> ! [X40 : $int,X41 : $int,X39 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X40,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X41,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X39)),$sum(X40,sK0)) | $less(length1(int,t2tb1(X39)),$sum(X41,sK0)) | ~$less(sK7(X39,X40,X41,sK0),0) | ~is_common_prefix1(X39,X40,X41,$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_504])])). 2.72/2.95 tff(f2517,plain,( 2.72/2.95 ~spl8_503 | spl8_504 | spl8_7 | ~spl8_68), 2.72/2.95 inference(AVATAR_split_clause,[],[f2480,f510,f211,f2515,f2512])). 2.72/2.95 tff(f2519,plain,( 2.72/2.95 spl8_506 <=> ! [X42 : array_int,X44 : $int,X43 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X43,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X44,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X42)),$sum(X43,sK0)) | $less(length1(int,t2tb1(X42)),$sum(X44,sK0)) | $less(sK7(X42,X43,X44,sK0),sK0) | ~is_common_prefix1(X42,X43,X44,$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_506])])). 2.72/2.95 tff(f2521,plain,( 2.72/2.95 ~spl8_503 | spl8_506 | spl8_7 | ~spl8_66), 2.72/2.95 inference(AVATAR_split_clause,[],[f2481,f506,f211,f2519,f2512])). 2.72/2.95 tff(f2522,plain,( 2.72/2.95 ( ! [X72:$int,X71:array_int,X73:$int] : (tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | is_common_prefix1(X71,X72,X73,sK4)) ) | (~spl8_7 | ~spl8_74)), 2.72/2.95 inference(forward_demodulation,[],[f2493,f146])). 2.72/2.95 tff(f2524,plain,( 2.72/2.95 spl8_508 <=> ! [X73 : $int,X71 : array_int,X72 : $int] : (~$less($sum(sK2,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | is_common_prefix1(X71,X72,X73,sK4) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_508])])). 2.72/2.95 tff(f2526,plain,( 2.72/2.95 spl8_508 | spl8_176 | spl8_7 | ~spl8_74), 2.72/2.95 inference(AVATAR_split_clause,[],[f2522,f544,f211,f1017,f2524])). 2.72/2.95 tff(f2536,plain,( 2.72/2.95 ( ! [X35:$int,X33:array_int,X34:$int] : (tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X33,X34,X35,$sum(sK2,sK4)) | ~$less(sK7(X33,X34,X35,sK0),0) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0))) ) | (~spl8_11 | ~spl8_62)), 2.72/2.95 inference(resolution,[],[f1025,f493])). 2.72/2.95 tff(f2537,plain,( 2.72/2.95 ( ! [X37:$int,X38:$int,X36:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X37,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X38,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X36,X37,X38,$sum(sK2,sK4)) | $less(sK7(X36,X37,X38,sK0),sK0) | $less(length1(int,t2tb1(X36)),$sum(X38,sK0)) | $less(length1(int,t2tb1(X36)),$sum(X37,sK0))) ) | (~spl8_11 | ~spl8_60)), 2.72/2.95 inference(resolution,[],[f1025,f489])). 2.72/2.95 tff(f2538,plain,( 2.72/2.95 ( ! [X39:array_int,X41:$int,X40:$int] : (tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X40,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X41,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK3,sK4),1)) | ~is_common_prefix1(X39,X40,X41,$sum(sK3,sK4)) | ~$less(sK7(X39,X40,X41,sK0),0) | $less(length1(int,t2tb1(X39)),$sum(X41,sK0)) | $less(length1(int,t2tb1(X39)),$sum(X40,sK0))) ) | (~spl8_11 | ~spl8_68)), 2.72/2.95 inference(resolution,[],[f1025,f511])). 2.72/2.95 tff(f2539,plain,( 2.72/2.95 ( ! [X43:$int,X44:$int,X42:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X43,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X44,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK3,sK4),1)) | ~is_common_prefix1(X42,X43,X44,$sum(sK3,sK4)) | $less(sK7(X42,X43,X44,sK0),sK0) | $less(length1(int,t2tb1(X42)),$sum(X44,sK0)) | $less(length1(int,t2tb1(X42)),$sum(X43,sK0))) ) | (~spl8_11 | ~spl8_66)), 2.72/2.95 inference(resolution,[],[f1025,f507])). 2.72/2.95 tff(f2551,plain,( 2.72/2.95 ( ! [X72:$int,X71:array_int,X73:$int] : (tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | is_common_prefix1(X71,X72,X73,sK4)) ) | (~spl8_11 | ~spl8_74)), 2.72/2.95 inference(resolution,[],[f1025,f545])). 2.72/2.95 tff(f2559,plain,( 2.72/2.95 spl8_511 <=> ~$less($sum(sK3,sK4),$sum($sum(sK2,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_511])])). 2.72/2.95 tff(f2562,plain,( 2.72/2.95 spl8_512 <=> ! [X34 : $int,X33 : array_int,X35 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X34,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X33)),t2tb($sum(X35,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X33)),$sum(X34,sK0)) | $less(length1(int,t2tb1(X33)),$sum(X35,sK0)) | ~$less(sK7(X33,X34,X35,sK0),0) | ~is_common_prefix1(X33,X34,X35,$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_512])])). 2.72/2.95 tff(f2564,plain,( 2.72/2.95 ~spl8_511 | spl8_512 | spl8_11 | ~spl8_62), 2.72/2.95 inference(AVATAR_split_clause,[],[f2536,f492,f219,f2562,f2559])). 2.72/2.95 tff(f2566,plain,( 2.72/2.95 spl8_514 <=> ! [X36 : array_int,X38 : $int,X37 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X37,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X36)),t2tb($sum(X38,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X36)),$sum(X37,sK0)) | $less(length1(int,t2tb1(X36)),$sum(X38,sK0)) | $less(sK7(X36,X37,X38,sK0),sK0) | ~is_common_prefix1(X36,X37,X38,$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_514])])). 2.72/2.95 tff(f2568,plain,( 2.72/2.95 ~spl8_511 | spl8_514 | spl8_11 | ~spl8_60), 2.72/2.95 inference(AVATAR_split_clause,[],[f2537,f488,f219,f2566,f2559])). 2.72/2.95 tff(f2570,plain,( 2.72/2.95 spl8_517 <=> ~$less($sum(sK3,sK4),$sum($sum(sK3,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_517])])). 2.72/2.95 tff(f2573,plain,( 2.72/2.95 spl8_518 <=> ! [X40 : $int,X41 : $int,X39 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X40,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X39)),t2tb($sum(X41,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X39)),$sum(X40,sK0)) | $less(length1(int,t2tb1(X39)),$sum(X41,sK0)) | ~$less(sK7(X39,X40,X41,sK0),0) | ~is_common_prefix1(X39,X40,X41,$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_518])])). 2.72/2.95 tff(f2575,plain,( 2.72/2.95 ~spl8_517 | spl8_518 | spl8_11 | ~spl8_68), 2.72/2.95 inference(AVATAR_split_clause,[],[f2538,f510,f219,f2573,f2570])). 2.72/2.95 tff(f2577,plain,( 2.72/2.95 spl8_520 <=> ! [X42 : array_int,X44 : $int,X43 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X43,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X42)),t2tb($sum(X44,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X42)),$sum(X43,sK0)) | $less(length1(int,t2tb1(X42)),$sum(X44,sK0)) | $less(sK7(X42,X43,X44,sK0),sK0) | ~is_common_prefix1(X42,X43,X44,$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_520])])). 2.72/2.95 tff(f2579,plain,( 2.72/2.95 ~spl8_517 | spl8_520 | spl8_11 | ~spl8_66), 2.72/2.95 inference(AVATAR_split_clause,[],[f2539,f506,f219,f2577,f2570])). 2.72/2.95 tff(f2580,plain,( 2.72/2.95 ( ! [X72:$int,X71:array_int,X73:$int] : (tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | is_common_prefix1(X71,X72,X73,sK4)) ) | (~spl8_11 | ~spl8_74)), 2.72/2.95 inference(forward_demodulation,[],[f2551,f146])). 2.72/2.95 tff(f2582,plain,( 2.72/2.95 spl8_522 <=> ! [X73 : $int,X71 : array_int,X72 : $int] : (~$less($sum(sK3,sK4),$sum(sK7(X71,X72,X73,sK4),1)) | is_common_prefix1(X71,X72,X73,sK4) | $less(length1(int,t2tb1(X71)),$sum(X72,sK4)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK7(X71,X72,X73,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_522])])). 2.72/2.95 tff(f2584,plain,( 2.72/2.95 spl8_522 | spl8_214 | spl8_11 | ~spl8_74), 2.72/2.95 inference(AVATAR_split_clause,[],[f2580,f544,f219,f1115,f2582])). 2.72/2.95 tff(f2600,plain,( 2.72/2.95 ( ! [X30:$int,X28:array_int,X29:$int] : ($less(length1(int,t2tb1(X28)),$sum(X29,$sum(sK2,sK4))) | ~$less(sK7(X28,X30,X29,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X28)),$sum(X30,$sum(sK2,sK4))) | $less($sum(sK2,sK4),sK6(X28,X30,X29,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum(sK2,sK4))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f885,f1024])). 2.72/2.95 tff(f2604,plain,( 2.72/2.95 spl8_524 <=> ! [X29 : $int,X28 : array_int,X30 : $int] : ($less(length1(int,t2tb1(X28)),$sum(X29,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,$sum(sK3,sK4))))) | $less($sum(sK2,sK4),sK6(X28,X30,X29,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X28)),$sum(X30,$sum(sK2,sK4))) | ~$less(sK7(X28,X30,X29,$sum(sK2,sK4)),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_524])])). 2.72/2.95 tff(f2606,plain,( 2.72/2.95 ~spl8_181 | spl8_524 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2600,f219,f211,f2604,f1046])). 2.72/2.95 tff(f2622,plain,( 2.72/2.95 ( ! [X14:$int,X15:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X13,X15,X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK2,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK2,sK4)),0) | ~$less($sum(sK3,sK4),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK2,sK4)))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f893,f884])). 2.72/2.95 tff(f2624,plain,( 2.72/2.95 ( ! [X21:$int,X19:array_int,X20:$int] : ($less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK3,sK4))) | ~$less(sK7(X19,X21,X20,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X19,X21,X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK2,sK4))) | $less(sK7(X19,X21,X20,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less($sum(sK3,sK4),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK2,sK4)))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f893,f907])). 2.72/2.95 tff(f2631,plain,( 2.72/2.95 spl8_526 <=> ! [X13 : array_int,X15 : $int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK2,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK2,sK4))) | $less($sum(sK3,sK4),sK6(X13,X15,X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK3,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK3,sK4)),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_526])])). 2.72/2.95 tff(f2633,plain,( 2.72/2.95 ~spl8_181 | spl8_526 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2622,f219,f211,f2631,f1046])). 2.72/2.95 tff(f2635,plain,( 2.72/2.95 spl8_528 <=> ! [X20 : $int,X19 : array_int,X21 : $int] : ($less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK2,sK4))) | $less(sK7(X19,X21,X20,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK2,sK4))) | $less($sum(sK3,sK4),sK6(X19,X21,X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK3,sK4))) | ~$less(sK7(X19,X21,X20,$sum(sK3,sK4)),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_528])])). 2.72/2.95 tff(f2637,plain,( 2.72/2.95 ~spl8_181 | spl8_528 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2624,f219,f211,f2635,f1046])). 2.72/2.95 tff(f2650,plain,( 2.72/2.95 ( ! [X4:$int,X5:$int,X3:array_int] : ($less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,sK4))) | $less(sK7(X3,X5,X4,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X3,X5,X4,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,sK4))) | $less($sum(sK2,sK4),0) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK2,sK4))))) | ~$less($sum(X4,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X5,$sum(sK2,sK4)),length1(int,t2tb1(X3)))) ) | ~spl8_7), 2.72/2.95 inference(resolution,[],[f906,f194])). 2.72/2.95 tff(f2657,plain,( 2.72/2.95 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,$sum(sK2,sK4))) | $less(sK7(X25,X27,X26,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X25,X27,X26,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X25)),$sum(X27,$sum(sK2,sK4))) | ~$less($sum($sum(sK2,sK4),1),0)) ) | ~spl8_7), 2.72/2.95 inference(resolution,[],[f906,f187])). 2.72/2.95 tff(f2659,plain,( 2.72/2.95 ( ! [X33:$int,X34:$int,X32:array_int] : ($less(length1(int,t2tb1(X32)),$sum(X33,$sum(sK2,sK4))) | $less(sK7(X32,X34,X33,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X32,X34,X33,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X32)),$sum(X34,$sum(sK2,sK4))) | ~$less($sum(sK2,sK4),$sum($sum(sK2,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4)))))) ) | ~spl8_7), 2.72/2.95 inference(resolution,[],[f906,f317])). 2.72/2.95 tff(f2660,plain,( 2.72/2.95 ( ! [X37:$int,X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | $less(sK7(X35,X37,X36,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X35,X37,X36,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK2,sK4))) | ~$less($sum(sK3,sK4),$sum($sum(sK2,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4)))))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f906,f333])). 2.72/2.95 tff(f2662,plain,( 2.72/2.95 spl8_530 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : ($less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK2,sK4))) | ~$less($sum(X5,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X4,$sum(sK2,sK4)),length1(int,t2tb1(X3))) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK2,sK4))) | is_longest_common_prefix1(X3,X5,X4,$sum(sK2,sK4)) | $less(sK7(X3,X5,X4,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_530])])). 2.72/2.95 tff(f2664,plain,( 2.72/2.95 spl8_6 | spl8_530 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2650,f211,f2662,f324])). 2.72/2.95 tff(f2666,plain,( 2.72/2.95 spl8_255 <=> ~$less($sum($sum(sK2,sK4),1),0)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_255])])). 2.72/2.95 tff(f2669,plain,( 2.72/2.95 spl8_532 <=> ! [X25 : array_int,X27 : $int,X26 : $int] : ($less(length1(int,t2tb1(X25)),$sum(X26,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X25)),$sum(X27,$sum(sK2,sK4))) | is_longest_common_prefix1(X25,X27,X26,$sum(sK2,sK4)) | $less(sK7(X25,X27,X26,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_532])])). 2.72/2.95 tff(f2671,plain,( 2.72/2.95 ~spl8_255 | spl8_532 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2657,f211,f2669,f2666])). 2.72/2.95 tff(f2673,plain,( 2.72/2.95 spl8_534 <=> ! [X32 : array_int,X34 : $int,X33 : $int] : ($less(length1(int,t2tb1(X32)),$sum(X33,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X32)),$sum(X34,$sum(sK2,sK4))) | is_longest_common_prefix1(X32,X34,X33,$sum(sK2,sK4)) | $less(sK7(X32,X34,X33,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_534])])). 2.72/2.95 tff(f2675,plain,( 2.72/2.95 ~spl8_497 | spl8_534 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f2659,f211,f2673,f2501])). 2.72/2.95 tff(f2677,plain,( 2.72/2.95 spl8_536 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : ($less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK2,sK4))) | is_longest_common_prefix1(X35,X37,X36,$sum(sK2,sK4)) | $less(sK7(X35,X37,X36,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_536])])). 2.72/2.95 tff(f2679,plain,( 2.72/2.95 ~spl8_511 | spl8_536 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2660,f219,f211,f2677,f2559])). 2.72/2.95 tff(f2681,plain,( 2.72/2.95 ( ! [X4:$int,X5:$int,X3:array_int] : ($less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,sK4))) | $less(sK7(X3,X5,X4,$sum(sK3,sK4)),$sum(sK3,sK4)) | is_longest_common_prefix1(X3,X5,X4,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,sK4))) | $less($sum(sK3,sK4),0) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK3,sK4))))) | ~$less($sum(X4,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X5,$sum(sK3,sK4)),length1(int,t2tb1(X3)))) ) | ~spl8_11), 2.72/2.95 inference(resolution,[],[f915,f194])). 2.72/2.95 tff(f2688,plain,( 2.72/2.95 ( ! [X26:$int,X27:$int,X25:array_int] : ($less(length1(int,t2tb1(X25)),$sum(X26,$sum(sK3,sK4))) | $less(sK7(X25,X27,X26,$sum(sK3,sK4)),$sum(sK3,sK4)) | is_longest_common_prefix1(X25,X27,X26,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X25)),$sum(X27,$sum(sK3,sK4))) | ~$less($sum($sum(sK3,sK4),1),0)) ) | ~spl8_11), 2.72/2.95 inference(resolution,[],[f915,f187])). 2.72/2.95 tff(f2691,plain,( 2.72/2.95 ( ! [X37:$int,X35:array_int,X36:$int] : ($less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | $less(sK7(X35,X37,X36,$sum(sK3,sK4)),$sum(sK3,sK4)) | is_longest_common_prefix1(X35,X37,X36,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK3,sK4))) | ~$less($sum(sK3,sK4),$sum($sum(sK3,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4)))))) ) | ~spl8_11), 2.72/2.95 inference(resolution,[],[f915,f333])). 2.72/2.95 tff(f2693,plain,( 2.72/2.95 spl8_538 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : ($less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,sK4))) | ~$less($sum(X5,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | ~$less($sum(X4,$sum(sK3,sK4)),length1(int,t2tb1(X3))) | tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,sK4))) | is_longest_common_prefix1(X3,X5,X4,$sum(sK3,sK4)) | $less(sK7(X3,X5,X4,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_538])])). 2.72/2.95 tff(f2695,plain,( 2.72/2.95 spl8_10 | spl8_538 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2681,f219,f2693,f340])). 2.72/2.95 tff(f2697,plain,( 2.72/2.95 spl8_263 <=> ~$less($sum($sum(sK3,sK4),1),0)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_263])])). 2.72/2.95 tff(f2700,plain,( 2.72/2.95 spl8_540 <=> ! [X25 : array_int,X27 : $int,X26 : $int] : ($less(length1(int,t2tb1(X25)),$sum(X26,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X25)),$sum(X27,$sum(sK3,sK4))) | is_longest_common_prefix1(X25,X27,X26,$sum(sK3,sK4)) | $less(sK7(X25,X27,X26,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_540])])). 2.72/2.95 tff(f2702,plain,( 2.72/2.95 ~spl8_263 | spl8_540 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2688,f219,f2700,f2697])). 2.72/2.95 tff(f2704,plain,( 2.72/2.95 spl8_542 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : ($less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK3,sK4))) | is_longest_common_prefix1(X35,X37,X36,$sum(sK3,sK4)) | $less(sK7(X35,X37,X36,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_542])])). 2.72/2.95 tff(f2706,plain,( 2.72/2.95 ~spl8_517 | spl8_542 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2691,f219,f2704,f2570])). 2.72/2.95 tff(f2714,plain,( 2.72/2.95 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK5,0) | $less(length1(int,t2tb1(X0)),$sum(X1,sK5)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK5)) | $less(sK7(X0,X1,X2,sK5),sK5)) ) | ~spl8_72), 2.72/2.95 inference(resolution,[],[f528,f181])). 2.72/2.95 tff(f2715,plain,( 2.72/2.95 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK5,0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK5)) | $less(length1(int,t2tb1(X3)),$sum(X5,sK5)) | ~$less(sK7(X3,X4,X5,sK5),0)) ) | ~spl8_72), 2.72/2.95 inference(resolution,[],[f528,f182])). 2.72/2.95 tff(f2716,plain,( 2.72/2.95 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK5,0) | $less(length1(int,t2tb1(X6)),$sum(X7,sK5)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK5)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK5)))))) ) | ~spl8_72), 2.72/2.95 inference(resolution,[],[f528,f196])). 2.72/2.95 tff(f2719,plain,( 2.72/2.95 spl8_544 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X0,X1,X2,sK5),sK5) | $less(length1(int,t2tb1(X0)),$sum(X2,sK5)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK5)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_544])])). 2.72/2.95 tff(f2721,plain,( 2.72/2.95 spl8_36 | spl8_544 | ~spl8_72), 2.72/2.95 inference(AVATAR_split_clause,[],[f2714,f527,f2719,f358])). 2.72/2.95 tff(f2723,plain,( 2.72/2.95 spl8_546 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X3,X4,X5,sK5),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK5)) | $less(length1(int,t2tb1(X3)),$sum(X4,sK5)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_546])])). 2.72/2.95 tff(f2725,plain,( 2.72/2.95 spl8_36 | spl8_546 | ~spl8_72), 2.72/2.95 inference(AVATAR_split_clause,[],[f2715,f527,f2723,f358])). 2.72/2.95 tff(f2727,plain,( 2.72/2.95 spl8_548 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK5))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK5))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK5)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK5)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_548])])). 2.72/2.95 tff(f2729,plain,( 2.72/2.95 spl8_36 | spl8_548 | ~spl8_72), 2.72/2.95 inference(AVATAR_split_clause,[],[f2716,f527,f2727,f358])). 2.72/2.95 tff(f2769,plain,( 2.72/2.95 ( ! [X30:$int,X28:array_int,X29:$int] : ($less(length1(int,t2tb1(X28)),$sum(X29,$sum(sK2,sK4))) | $less(sK7(X28,X30,X29,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X28)),$sum(X30,$sum(sK2,sK4))) | $less($sum(sK2,sK4),sK6(X28,X30,X29,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum(sK2,sK4))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f908,f1024])). 2.72/2.95 tff(f2773,plain,( 2.72/2.95 spl8_550 <=> ! [X29 : $int,X28 : array_int,X30 : $int] : ($less(length1(int,t2tb1(X28)),$sum(X29,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,$sum(sK3,sK4))))) | $less($sum(sK2,sK4),sK6(X28,X30,X29,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X28)),$sum(X30,$sum(sK2,sK4))) | $less(sK7(X28,X30,X29,$sum(sK2,sK4)),$sum(sK2,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_550])])). 2.72/2.95 tff(f2775,plain,( 2.72/2.95 ~spl8_181 | spl8_550 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2769,f219,f211,f2773,f1046])). 2.72/2.95 tff(f2791,plain,( 2.72/2.95 ( ! [X14:$int,X15:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(sK7(X13,X15,X14,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X13,X15,X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK2,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK2,sK4)),0) | ~$less($sum(sK3,sK4),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK2,sK4)))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f917,f884])). 2.72/2.95 tff(f2793,plain,( 2.72/2.95 ( ! [X21:$int,X19:array_int,X20:$int] : ($less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK3,sK4))) | $less(sK7(X19,X21,X20,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK3,sK4))) | $less($sum(sK3,sK4),sK6(X19,X21,X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK2,sK4))) | $less(sK7(X19,X21,X20,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less($sum(sK3,sK4),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK2,sK4)))) ) | (~spl8_7 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f917,f907])). 2.72/2.95 tff(f2800,plain,( 2.72/2.95 spl8_552 <=> ! [X13 : array_int,X15 : $int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK2,sK4))) | ~$less(sK7(X13,X15,X14,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK2,sK4))) | $less($sum(sK3,sK4),sK6(X13,X15,X14,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X13)),$sum(X15,$sum(sK3,sK4))) | $less(sK7(X13,X15,X14,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_552])])). 2.72/2.95 tff(f2802,plain,( 2.72/2.95 ~spl8_181 | spl8_552 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2791,f219,f211,f2800,f1046])). 2.72/2.95 tff(f2804,plain,( 2.72/2.95 spl8_554 <=> ! [X20 : $int,X19 : array_int,X21 : $int] : ($less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK2,sK4))) | $less(sK7(X19,X21,X20,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X19)),$sum(X20,$sum(sK2,sK4))) | $less($sum(sK3,sK4),sK6(X19,X21,X20,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X19)),$sum(X21,$sum(sK3,sK4))) | $less(sK7(X19,X21,X20,$sum(sK3,sK4)),$sum(sK3,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_554])])). 2.72/2.95 tff(f2806,plain,( 2.72/2.95 ~spl8_181 | spl8_554 | spl8_7 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f2793,f219,f211,f2804,f1046])). 2.72/2.95 tff(f2821,plain,( 2.72/2.95 ( ! [X10:array_int,X11:$int,X9:$int] : (~$less($sum(X9,sK2),length1(int,t2tb1(X10))) | ~$less($sum(X11,sK2),length1(int,t2tb1(X10))) | is_longest_common_prefix1(X10,X11,X9,sK2) | tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X9,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X11,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X10)),$sum(X11,sK2)) | $less(length1(int,t2tb1(X10)),$sum(X9,sK2)) | $less(sK7(X10,X11,X9,sK2),sK2)) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f1151,f181])). 2.72/2.95 tff(f2822,plain,( 2.72/2.95 ( ! [X14:$int,X12:$int,X13:array_int] : (~$less($sum(X12,sK2),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK2),length1(int,t2tb1(X13))) | is_longest_common_prefix1(X13,X14,X12,sK2) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X13)),$sum(X14,sK2)) | $less(length1(int,t2tb1(X13)),$sum(X12,sK2)) | ~$less(sK7(X13,X14,X12,sK2),0)) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f1151,f182])). 2.72/2.95 tff(f2823,plain,( 2.72/2.95 ( ! [X17:$int,X15:$int,X16:array_int] : (~$less($sum(X15,sK2),length1(int,t2tb1(X16))) | ~$less($sum(X17,sK2),length1(int,t2tb1(X16))) | is_longest_common_prefix1(X16,X17,X15,sK2) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK2)))) | $less(sK2,0) | $less(length1(int,t2tb1(X16)),$sum(X17,sK2)) | $less(length1(int,t2tb1(X16)),$sum(X15,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK2)))))) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f1151,f196])). 2.72/2.95 tff(f2825,plain,( 2.72/2.95 spl8_16 | spl8_306 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2821,f233,f1732,f1573])). 2.72/2.95 tff(f2827,plain,( 2.72/2.95 spl8_556 <=> ! [X13 : array_int,X12 : $int,X14 : $int] : (~$less($sum(X12,sK2),length1(int,t2tb1(X13))) | ~$less(sK7(X13,X14,X12,sK2),0) | $less(length1(int,t2tb1(X13)),$sum(X12,sK2)) | $less(length1(int,t2tb1(X13)),$sum(X14,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK2)))) | is_longest_common_prefix1(X13,X14,X12,sK2) | ~$less($sum(X14,sK2),length1(int,t2tb1(X13))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_556])])). 2.72/2.95 tff(f2829,plain,( 2.72/2.95 spl8_16 | spl8_556 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2822,f233,f2827,f1573])). 2.72/2.95 tff(f2831,plain,( 2.72/2.95 spl8_558 <=> ! [X16 : array_int,X15 : $int,X17 : $int] : (~$less($sum(X15,sK2),length1(int,t2tb1(X16))) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK2))))) | $less(length1(int,t2tb1(X16)),$sum(X15,sK2)) | $less(length1(int,t2tb1(X16)),$sum(X17,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK2)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK2)))) | is_longest_common_prefix1(X16,X17,X15,sK2) | ~$less($sum(X17,sK2),length1(int,t2tb1(X16))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_558])])). 2.72/2.95 tff(f2833,plain,( 2.72/2.95 spl8_16 | spl8_558 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2823,f233,f2831,f1573])). 2.72/2.95 tff(f2837,plain,( 2.72/2.95 ( ! [X10:array_int,X11:$int,X9:$int] : (~$less($sum(X9,sK3),length1(int,t2tb1(X10))) | ~$less($sum(X11,sK3),length1(int,t2tb1(X10))) | is_longest_common_prefix1(X10,X11,X9,sK3) | tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X9,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X11,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X10)),$sum(X11,sK3)) | $less(length1(int,t2tb1(X10)),$sum(X9,sK3)) | $less(sK7(X10,X11,X9,sK3),sK3)) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f1177,f181])). 2.72/2.95 tff(f2838,plain,( 2.72/2.95 ( ! [X14:$int,X12:$int,X13:array_int] : (~$less($sum(X12,sK3),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK3),length1(int,t2tb1(X13))) | is_longest_common_prefix1(X13,X14,X12,sK3) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X13)),$sum(X14,sK3)) | $less(length1(int,t2tb1(X13)),$sum(X12,sK3)) | ~$less(sK7(X13,X14,X12,sK3),0)) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f1177,f182])). 2.72/2.95 tff(f2839,plain,( 2.72/2.95 ( ! [X17:$int,X15:$int,X16:array_int] : (~$less($sum(X15,sK3),length1(int,t2tb1(X16))) | ~$less($sum(X17,sK3),length1(int,t2tb1(X16))) | is_longest_common_prefix1(X16,X17,X15,sK3) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK3)))) | $less(sK3,0) | $less(length1(int,t2tb1(X16)),$sum(X17,sK3)) | $less(length1(int,t2tb1(X16)),$sum(X15,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK3)))))) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f1177,f196])). 2.72/2.95 tff(f2841,plain,( 2.72/2.95 spl8_20 | spl8_318 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2837,f241,f1784,f1589])). 2.72/2.95 tff(f2843,plain,( 2.72/2.95 spl8_560 <=> ! [X13 : array_int,X12 : $int,X14 : $int] : (~$less($sum(X12,sK3),length1(int,t2tb1(X13))) | ~$less(sK7(X13,X14,X12,sK3),0) | $less(length1(int,t2tb1(X13)),$sum(X12,sK3)) | $less(length1(int,t2tb1(X13)),$sum(X14,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK3)))) | is_longest_common_prefix1(X13,X14,X12,sK3) | ~$less($sum(X14,sK3),length1(int,t2tb1(X13))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_560])])). 2.72/2.95 tff(f2845,plain,( 2.72/2.95 spl8_20 | spl8_560 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2838,f241,f2843,f1589])). 2.72/2.95 tff(f2847,plain,( 2.72/2.95 spl8_562 <=> ! [X16 : array_int,X15 : $int,X17 : $int] : (~$less($sum(X15,sK3),length1(int,t2tb1(X16))) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK3))))) | $less(length1(int,t2tb1(X16)),$sum(X15,sK3)) | $less(length1(int,t2tb1(X16)),$sum(X17,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK3)))) | is_longest_common_prefix1(X16,X17,X15,sK3) | ~$less($sum(X17,sK3),length1(int,t2tb1(X16))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_562])])). 2.72/2.95 tff(f2849,plain,( 2.72/2.95 spl8_20 | spl8_562 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f2839,f241,f2847,f1589])). 2.72/2.95 tff(f2854,plain,( 2.72/2.95 ( ! [X10:array_int,X11:$int,X9:$int] : (~$less($sum(X9,sK0),length1(int,t2tb1(X10))) | ~$less($sum(X11,sK0),length1(int,t2tb1(X10))) | is_longest_common_prefix1(X10,X11,X9,sK0) | tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X9,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X10)),t2tb($sum(X11,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X10)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X10)),$sum(X9,sK0)) | $less(sK7(X10,X11,X9,sK0),sK0)) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f1204,f181])). 2.72/2.95 tff(f2855,plain,( 2.72/2.95 ( ! [X14:$int,X12:$int,X13:array_int] : (~$less($sum(X12,sK0),length1(int,t2tb1(X13))) | ~$less($sum(X14,sK0),length1(int,t2tb1(X13))) | is_longest_common_prefix1(X13,X14,X12,sK0) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X13)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X13)),$sum(X12,sK0)) | ~$less(sK7(X13,X14,X12,sK0),0)) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f1204,f182])). 2.72/2.95 tff(f2856,plain,( 2.72/2.95 ( ! [X17:$int,X15:$int,X16:array_int] : (~$less($sum(X15,sK0),length1(int,t2tb1(X16))) | ~$less($sum(X17,sK0),length1(int,t2tb1(X16))) | is_longest_common_prefix1(X16,X17,X15,sK0) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK0)))) | $less(sK0,0) | $less(length1(int,t2tb1(X16)),$sum(X17,sK0)) | $less(length1(int,t2tb1(X16)),$sum(X15,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK0)))))) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f1204,f196])). 2.72/2.95 tff(f2858,plain,( 2.72/2.95 spl8_24 | spl8_330 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2854,f249,f1836,f485])). 2.72/2.95 tff(f2860,plain,( 2.72/2.95 spl8_564 <=> ! [X13 : array_int,X12 : $int,X14 : $int] : (~$less($sum(X12,sK0),length1(int,t2tb1(X13))) | ~$less(sK7(X13,X14,X12,sK0),0) | $less(length1(int,t2tb1(X13)),$sum(X12,sK0)) | $less(length1(int,t2tb1(X13)),$sum(X14,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X12,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK0)))) | is_longest_common_prefix1(X13,X14,X12,sK0) | ~$less($sum(X14,sK0),length1(int,t2tb1(X13))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_564])])). 2.72/2.95 tff(f2862,plain,( 2.72/2.95 spl8_24 | spl8_564 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2855,f249,f2860,f485])). 2.72/2.95 tff(f2864,plain,( 2.72/2.95 spl8_566 <=> ! [X16 : array_int,X15 : $int,X17 : $int] : (~$less($sum(X15,sK0),length1(int,t2tb1(X16))) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK7(X16,X17,X15,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK7(X16,X17,X15,sK0))))) | $less(length1(int,t2tb1(X16)),$sum(X15,sK0)) | $less(length1(int,t2tb1(X16)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X15,sK0)))) = tb2t(get(int,int,elts(int,t2tb1(X16)),t2tb($sum(X17,sK0)))) | is_longest_common_prefix1(X16,X17,X15,sK0) | ~$less($sum(X17,sK0),length1(int,t2tb1(X16))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_566])])). 2.72/2.95 tff(f2866,plain,( 2.72/2.95 spl8_24 | spl8_566 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f2856,f249,f2864,f485])). 2.72/2.95 tff(f2952,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : ($less(sK0,sK6(X9,X10,X11,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2443,f181])). 2.72/2.95 tff(f2953,plain,( 2.72/2.95 ( ! [X14:$int,X12:array_int,X13:$int] : ($less(sK0,sK6(X12,X13,X14,sK0)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2443,f182])). 2.72/2.95 tff(f2954,plain,( 2.72/2.95 ( ! [X17:$int,X15:array_int,X16:$int] : ($less(sK0,sK6(X15,X16,X17,sK0)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0)))))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2443,f196])). 2.72/2.95 tff(f2957,plain,( 2.72/2.95 spl8_568 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : ($less(sK0,sK6(X9,X10,X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_568])])). 2.72/2.95 tff(f2959,plain,( 2.72/2.95 spl8_24 | spl8_568 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2952,f2041,f2957,f485])). 2.72/2.95 tff(f2961,plain,( 2.72/2.95 spl8_570 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : ($less(sK0,sK6(X12,X13,X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_570])])). 2.72/2.95 tff(f2963,plain,( 2.72/2.95 spl8_24 | spl8_570 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2953,f2041,f2961,f485])). 2.72/2.95 tff(f2965,plain,( 2.72/2.95 spl8_572 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : ($less(sK0,sK6(X15,X16,X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_572])])). 2.72/2.95 tff(f2967,plain,( 2.72/2.95 spl8_24 | spl8_572 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2954,f2041,f2965,f485])). 2.72/2.95 tff(f2969,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(sK7(X5,X7,X6,sK2),sK2) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK2))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK2))))) | $less(sK7(X8,X9,X10,sK2),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(sK2,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2))) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f615,f181])). 2.72/2.95 tff(f2971,plain,( 2.72/2.95 spl8_574 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | $less(sK7(X8,X9,X10,sK2),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK2))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK2))))) | $less(sK7(X5,X7,X6,sK2),sK2))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_574])])). 2.72/2.95 tff(f2973,plain,( 2.72/2.95 spl8_16 | spl8_574 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2969,f233,f2971,f1573])). 2.72/2.95 tff(f2975,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | ~$less(sK7(X5,X7,X6,sK2),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK2))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK2))))) | $less(sK7(X8,X9,X10,sK2),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(sK2,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2))) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f652,f181])). 2.72/2.95 tff(f2977,plain,( 2.72/2.95 spl8_576 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | $less(sK7(X8,X9,X10,sK2),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK2))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK2))))) | ~$less(sK7(X5,X7,X6,sK2),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_576])])). 2.72/2.95 tff(f2979,plain,( 2.72/2.95 spl8_16 | spl8_576 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f2975,f233,f2977,f1573])). 2.72/2.95 tff(f2983,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : (is_common_prefix1(X9,X10,X11,$sum(sK0,1)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2445,f181])). 2.72/2.95 tff(f2984,plain,( 2.72/2.95 ( ! [X14:$int,X12:array_int,X13:$int] : (is_common_prefix1(X12,X13,X14,$sum(sK0,1)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2445,f182])). 2.72/2.95 tff(f2985,plain,( 2.72/2.95 ( ! [X17:$int,X15:array_int,X16:$int] : (is_common_prefix1(X15,X16,X17,$sum(sK0,1)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0)))))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2445,f196])). 2.72/2.95 tff(f2988,plain,( 2.72/2.95 spl8_578 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (is_common_prefix1(X9,X10,X11,$sum(sK0,1)) | $less(sK7(X9,X10,X11,sK0),sK0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_578])])). 2.72/2.95 tff(f2990,plain,( 2.72/2.95 spl8_24 | spl8_578 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2983,f2041,f2988,f485])). 2.72/2.95 tff(f2992,plain,( 2.72/2.95 spl8_580 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (is_common_prefix1(X12,X13,X14,$sum(sK0,1)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_580])])). 2.72/2.95 tff(f2994,plain,( 2.72/2.95 spl8_24 | spl8_580 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2984,f2041,f2992,f485])). 2.72/2.95 tff(f2996,plain,( 2.72/2.95 spl8_582 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_common_prefix1(X15,X16,X17,$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_582])])). 2.72/2.95 tff(f2998,plain,( 2.72/2.95 spl8_24 | spl8_582 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f2985,f2041,f2996,f485])). 2.72/2.95 tff(f3000,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(sK7(X5,X7,X6,sK3),sK3) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK3))))) | $less(sK7(X8,X9,X10,sK3),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(sK3,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3))) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f660,f181])). 2.72/2.95 tff(f3002,plain,( 2.72/2.95 spl8_584 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | $less(sK7(X8,X9,X10,sK3),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK3))))) | $less(sK7(X5,X7,X6,sK3),sK3))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_584])])). 2.72/2.95 tff(f3004,plain,( 2.72/2.95 spl8_20 | spl8_584 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f3000,f241,f3002,f1589])). 2.72/2.95 tff(f3006,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | ~$less(sK7(X5,X7,X6,sK3),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK3))))) | $less(sK7(X8,X9,X10,sK3),0) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(sK3,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3))) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f710,f181])). 2.72/2.95 tff(f3008,plain,( 2.72/2.95 spl8_586 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | $less(sK7(X8,X9,X10,sK3),0) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X8,X9,X10,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X8,X9,X10,sK3))))) | ~$less(sK7(X5,X7,X6,sK3),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_586])])). 2.72/2.95 tff(f3010,plain,( 2.72/2.95 spl8_20 | spl8_586 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f3006,f241,f3008,f1589])). 2.72/2.95 tff(f3017,plain,( 2.72/2.95 ( ! [X28:$int,X26:array_int,X24:$int,X23:array_int,X27:$int,X25:$int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | $less(sK7(X23,X25,X24,sK0),sK0) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X26,X27,X28,sK0))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X26,X27,X28,sK0))))) | $less(sK7(X26,X27,X28,sK0),0) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | $less(sK0,0) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0))) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f720,f181])). 2.72/2.95 tff(f3019,plain,( 2.72/2.95 spl8_588 <=> ! [X25 : $int,X27 : $int,X23 : array_int,X24 : $int,X26 : array_int,X28 : $int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | $less(sK7(X26,X27,X28,sK0),0) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X26,X27,X28,sK0))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X26,X27,X28,sK0))))) | $less(sK7(X23,X25,X24,sK0),sK0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_588])])). 2.72/2.95 tff(f3021,plain,( 2.72/2.95 spl8_24 | spl8_588 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f3017,f249,f3019,f485])). 2.72/2.95 tff(f3027,plain,( 2.72/2.95 ( ! [X28:$int,X26:array_int,X24:$int,X23:array_int,X27:$int,X25:$int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | ~$less(sK7(X23,X25,X24,sK0),0) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X26,X27,X28,sK0))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X26,X27,X28,sK0))))) | $less(sK7(X26,X27,X28,sK0),0) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | $less(sK0,0) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0))) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f731,f181])). 2.72/2.95 tff(f3029,plain,( 2.72/2.95 spl8_590 <=> ! [X25 : $int,X27 : $int,X23 : array_int,X24 : $int,X26 : array_int,X28 : $int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | $less(sK7(X26,X27,X28,sK0),0) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X26,X27,X28,sK0))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X26,X27,X28,sK0))))) | ~$less(sK7(X23,X25,X24,sK0),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_590])])). 2.72/2.95 tff(f3031,plain,( 2.72/2.95 spl8_24 | spl8_590 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f3027,f249,f3029,f485])). 2.72/2.95 tff(f3056,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : (is_common_prefix1(X9,X10,X11,sK6(X9,X10,X11,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2444,f181])). 2.72/2.95 tff(f3057,plain,( 2.72/2.95 ( ! [X14:$int,X12:array_int,X13:$int] : (is_common_prefix1(X12,X13,X14,sK6(X12,X13,X14,sK0)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0)) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2444,f182])). 2.72/2.95 tff(f3058,plain,( 2.72/2.95 ( ! [X17:$int,X15:array_int,X16:$int] : (is_common_prefix1(X15,X16,X17,sK6(X15,X16,X17,sK0)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))) | $less(sK0,0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0)))))) ) | ~spl8_380), 2.72/2.95 inference(resolution,[],[f2444,f196])). 2.72/2.95 tff(f3061,plain,( 2.72/2.95 spl8_592 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (is_common_prefix1(X9,X10,X11,sK6(X9,X10,X11,sK0)) | $less(sK7(X9,X10,X11,sK0),sK0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_592])])). 2.72/2.95 tff(f3063,plain,( 2.72/2.95 spl8_24 | spl8_592 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f3056,f2041,f3061,f485])). 2.72/2.95 tff(f3065,plain,( 2.72/2.95 spl8_594 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (is_common_prefix1(X12,X13,X14,sK6(X12,X13,X14,sK0)) | ~$less(sK7(X12,X13,X14,sK0),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK0)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK0)) | ~is_common_prefix1(X12,X13,X14,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_594])])). 2.72/2.95 tff(f3067,plain,( 2.72/2.95 spl8_24 | spl8_594 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f3057,f2041,f3065,f485])). 2.72/2.95 tff(f3069,plain,( 2.72/2.95 spl8_596 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_common_prefix1(X15,X16,X17,sK6(X15,X16,X17,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK0))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK0)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK0)) | ~is_common_prefix1(X15,X16,X17,$sum(sK2,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_596])])). 2.72/2.95 tff(f3071,plain,( 2.72/2.95 spl8_24 | spl8_596 | ~spl8_380), 2.72/2.95 inference(AVATAR_split_clause,[],[f3058,f2041,f3069,f485])). 2.72/2.95 tff(f3077,plain,( 2.72/2.95 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X6,X7,X8,$sum(sK2,sK4))) ) | (~spl8_11 | ~spl8_64)), 2.72/2.95 inference(resolution,[],[f497,f1025])). 2.72/2.95 tff(f3078,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,sK0))))) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | ~$less($sum(sK2,sK4),$sum($sum(sK2,sK4),1)) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,sK4))) ) | (~spl8_7 | ~spl8_64)), 2.72/2.95 inference(resolution,[],[f497,f927])). 2.72/2.95 tff(f3083,plain,( 2.72/2.95 spl8_598 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | ~is_common_prefix1(X6,X7,X8,$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_598])])). 2.72/2.95 tff(f3085,plain,( 2.72/2.95 ~spl8_511 | spl8_598 | spl8_11 | ~spl8_64), 2.72/2.95 inference(AVATAR_split_clause,[],[f3077,f496,f219,f3083,f2559])). 2.72/2.95 tff(f3087,plain,( 2.72/2.95 spl8_600 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,X11,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK7(X9,X10,X11,sK0))))) | ~is_common_prefix1(X9,X10,X11,$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,$sum(sK2,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,$sum(sK2,sK4))))) | $less(length1(int,t2tb1(X9)),$sum(X10,sK0)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_600])])). 2.72/2.95 tff(f3089,plain,( 2.72/2.95 ~spl8_497 | spl8_600 | spl8_7 | ~spl8_64), 2.72/2.95 inference(AVATAR_split_clause,[],[f3078,f496,f211,f3087,f2501])). 2.72/2.95 tff(f3093,plain,( 2.72/2.95 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | ~$less($sum(sK3,sK4),$sum($sum(sK3,sK4),1)) | ~is_common_prefix1(X6,X7,X8,$sum(sK3,sK4))) ) | (~spl8_11 | ~spl8_70)), 2.72/2.95 inference(resolution,[],[f515,f1025])). 2.72/2.95 tff(f3099,plain,( 2.72/2.95 spl8_602 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK7(X6,X7,X8,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK7(X6,X7,X8,sK0))))) | ~is_common_prefix1(X6,X7,X8,$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,$sum(sK3,sK4))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,$sum(sK3,sK4))))) | $less(length1(int,t2tb1(X6)),$sum(X7,sK0)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_602])])). 2.72/2.95 tff(f3101,plain,( 2.72/2.95 ~spl8_517 | spl8_602 | spl8_11 | ~spl8_70), 2.72/2.95 inference(AVATAR_split_clause,[],[f3093,f514,f219,f3099,f2570])). 2.72/2.95 tff(f3105,plain,( 2.72/2.95 ( ! [X10:$int,X11:$int,X9:array_int] : (is_longest_common_prefix1(X9,X10,X11,sK4) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X9,X10,X11,sK4)) | $less(sK4,0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK4)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK4)) | $less(sK7(X9,X10,X11,sK4),sK4)) ) | ~spl8_48), 2.72/2.95 inference(resolution,[],[f623,f181])). 2.72/2.95 tff(f3106,plain,( 2.72/2.95 ( ! [X14:$int,X12:array_int,X13:$int] : (is_longest_common_prefix1(X12,X13,X14,sK4) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X12,X13,X14,sK4)) | $less(sK4,0) | $less(length1(int,t2tb1(X12)),$sum(X13,sK4)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK4)) | ~$less(sK7(X12,X13,X14,sK4),0)) ) | ~spl8_48), 2.72/2.95 inference(resolution,[],[f623,f182])). 2.72/2.95 tff(f3107,plain,( 2.72/2.95 ( ! [X17:$int,X15:array_int,X16:$int] : (is_longest_common_prefix1(X15,X16,X17,sK4) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X15,X16,X17,sK4)) | $less(sK4,0) | $less(length1(int,t2tb1(X15)),$sum(X16,sK4)) | $less(length1(int,t2tb1(X15)),$sum(X17,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK4)))))) ) | ~spl8_48), 2.72/2.95 inference(resolution,[],[f623,f196])). 2.72/2.95 tff(f3111,plain,( 2.72/2.95 spl8_604 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (is_longest_common_prefix1(X9,X10,X11,sK4) | $less(sK7(X9,X10,X11,sK4),sK4) | $less(length1(int,t2tb1(X9)),$sum(X11,sK4)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X9,X10,X11,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_604])])). 2.72/2.95 tff(f3113,plain,( 2.72/2.95 spl8_26 | spl8_604 | ~spl8_48), 2.72/2.95 inference(AVATAR_split_clause,[],[f3105,f398,f3111,f304])). 2.72/2.95 tff(f3115,plain,( 2.72/2.95 spl8_606 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (is_longest_common_prefix1(X12,X13,X14,sK4) | ~$less(sK7(X12,X13,X14,sK4),0) | $less(length1(int,t2tb1(X12)),$sum(X14,sK4)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X12,X13,X14,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_606])])). 2.72/2.95 tff(f3117,plain,( 2.72/2.95 spl8_26 | spl8_606 | ~spl8_48), 2.72/2.95 inference(AVATAR_split_clause,[],[f3106,f398,f3115,f304])). 2.72/2.95 tff(f3119,plain,( 2.72/2.95 spl8_608 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (is_longest_common_prefix1(X15,X16,X17,sK4) | tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK7(X15,X16,X17,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK7(X15,X16,X17,sK4))))) | $less(length1(int,t2tb1(X15)),$sum(X17,sK4)) | $less(length1(int,t2tb1(X15)),$sum(X16,sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK6(X15,X16,X17,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_608])])). 2.72/2.95 tff(f3121,plain,( 2.72/2.95 spl8_26 | spl8_608 | ~spl8_48), 2.72/2.95 inference(AVATAR_split_clause,[],[f3107,f398,f3119,f304])). 2.72/2.95 tff(f3125,plain,( 2.72/2.95 ( ! [X8:$int,X7:array_int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,sK4,X8,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,sK4,X8,1))))) | $less(length1(int,t2tb1(X7)),sK5) | is_common_prefix1(X7,sK4,X8,2) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | ~$less(sK7(X7,sK4,X8,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1251,f884])). 2.72/2.95 tff(f3126,plain,( 2.72/2.95 ( ! [X10:$int,X9:array_int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,sK4,X10,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,sK4,X10,1))))) | $less(length1(int,t2tb1(X9)),sK5) | is_common_prefix1(X9,sK4,X10,2) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | ~$less(sK7(X9,sK4,X10,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1251,f892])). 2.72/2.95 tff(f3127,plain,( 2.72/2.95 ( ! [X12:$int,X11:array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,sK4,X12,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,sK4,X12,1))))) | $less(length1(int,t2tb1(X11)),sK5) | is_common_prefix1(X11,sK4,X12,2) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | $less(sK7(X11,sK4,X12,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1251,f907])). 2.72/2.95 tff(f3128,plain,( 2.72/2.95 ( ! [X14:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,sK4,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,sK4,X14,1))))) | $less(length1(int,t2tb1(X13)),sK5) | is_common_prefix1(X13,sK4,X14,2) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(sK7(X13,sK4,X14,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1251,f916])). 2.72/2.95 tff(f3133,plain,( 2.72/2.95 spl8_610 <=> ! [X7 : array_int,X8 : $int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X7,sK4,X8,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | is_common_prefix1(X7,sK4,X8,2) | $less(length1(int,t2tb1(X7)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,sK4,X8,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,sK4,X8,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_610])])). 2.72/2.95 tff(f3135,plain,( 2.72/2.95 ~spl8_359 | spl8_610 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3125,f211,f203,f3133,f1996])). 2.72/2.95 tff(f3137,plain,( 2.72/2.95 spl8_612 <=> ! [X9 : array_int,X10 : $int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X9,sK4,X10,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | is_common_prefix1(X9,sK4,X10,2) | $less(length1(int,t2tb1(X9)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,sK4,X10,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,sK4,X10,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_612])])). 2.72/2.95 tff(f3139,plain,( 2.72/2.95 ~spl8_401 | spl8_612 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3126,f219,f203,f3137,f2100])). 2.72/2.95 tff(f3141,plain,( 2.72/2.95 spl8_614 <=> ! [X11 : array_int,X12 : $int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X11,sK4,X12,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | is_common_prefix1(X11,sK4,X12,2) | $less(length1(int,t2tb1(X11)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,sK4,X12,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,sK4,X12,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_614])])). 2.72/2.95 tff(f3143,plain,( 2.72/2.95 ~spl8_359 | spl8_614 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3127,f211,f203,f3141,f1996])). 2.72/2.95 tff(f3145,plain,( 2.72/2.95 spl8_616 <=> ! [X13 : array_int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X13,sK4,X14,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | is_common_prefix1(X13,sK4,X14,2) | $less(length1(int,t2tb1(X13)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,sK4,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,sK4,X14,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_616])])). 2.72/2.95 tff(f3147,plain,( 2.72/2.95 ~spl8_401 | spl8_616 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3128,f219,f203,f3145,f2100])). 2.72/2.95 tff(f3152,plain,( 2.72/2.95 ( ! [X8:$int,X7:array_int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,X8,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X8,sK4,1))))) | $less(length1(int,t2tb1(X7)),sK5) | is_common_prefix1(X7,X8,sK4,2) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X7,X8,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1269,f884])). 2.72/2.95 tff(f3153,plain,( 2.72/2.95 ( ! [X10:$int,X9:array_int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,X10,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,sK4,1))))) | $less(length1(int,t2tb1(X9)),sK5) | is_common_prefix1(X9,X10,sK4,2) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X9,X10,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1269,f892])). 2.72/2.95 tff(f3154,plain,( 2.72/2.95 ( ! [X12:$int,X11:array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,X12,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,X12,sK4,1))))) | $less(length1(int,t2tb1(X11)),sK5) | is_common_prefix1(X11,X12,sK4,2) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X11,X12,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1269,f907])). 2.72/2.95 tff(f3155,plain,( 2.72/2.95 ( ! [X14:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,X14,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,X14,sK4,1))))) | $less(length1(int,t2tb1(X13)),sK5) | is_common_prefix1(X13,X14,sK4,2) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X13,X14,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1269,f916])). 2.72/2.95 tff(f3160,plain,( 2.72/2.95 spl8_618 <=> ! [X7 : array_int,X8 : $int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | ~$less(sK7(X7,X8,sK4,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X7,X8,sK4,2) | $less(length1(int,t2tb1(X7)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,X8,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X8,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_618])])). 2.72/2.95 tff(f3162,plain,( 2.72/2.95 ~spl8_359 | spl8_618 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3152,f211,f203,f3160,f1996])). 2.72/2.95 tff(f3164,plain,( 2.72/2.95 spl8_620 <=> ! [X9 : array_int,X10 : $int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | ~$less(sK7(X9,X10,sK4,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X9,X10,sK4,2) | $less(length1(int,t2tb1(X9)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,X10,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_620])])). 2.72/2.95 tff(f3166,plain,( 2.72/2.95 ~spl8_401 | spl8_620 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3153,f219,f203,f3164,f2100])). 2.72/2.95 tff(f3168,plain,( 2.72/2.95 spl8_622 <=> ! [X11 : array_int,X12 : $int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | $less(sK7(X11,X12,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | is_common_prefix1(X11,X12,sK4,2) | $less(length1(int,t2tb1(X11)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,X12,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,X12,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_622])])). 2.72/2.95 tff(f3170,plain,( 2.72/2.95 ~spl8_359 | spl8_622 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3154,f211,f203,f3168,f1996])). 2.72/2.95 tff(f3172,plain,( 2.72/2.95 spl8_624 <=> ! [X13 : array_int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(sK7(X13,X14,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | is_common_prefix1(X13,X14,sK4,2) | $less(length1(int,t2tb1(X13)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,X14,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,X14,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_624])])). 2.72/2.95 tff(f3174,plain,( 2.72/2.95 ~spl8_401 | spl8_624 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3155,f219,f203,f3172,f2100])). 2.72/2.95 tff(f3176,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X5,X7,X6,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X5,X7,X6,sK2))))) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | $less(sK2,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2))) ) | ~spl8_17), 2.72/2.95 inference(resolution,[],[f1277,f181])). 2.72/2.95 tff(f3178,plain,( 2.72/2.95 spl8_626 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK2)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK2)) | is_common_prefix1(X8,X9,X10,sK2) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK2)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X5,X7,X6,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X5,X7,X6,sK2))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_626])])). 2.72/2.95 tff(f3180,plain,( 2.72/2.95 spl8_16 | spl8_626 | spl8_17), 2.72/2.95 inference(AVATAR_split_clause,[],[f3176,f233,f3178,f1573])). 2.72/2.95 tff(f3183,plain,( 2.72/2.95 ( ! [X6:$int,X10:$int,X8:array_int,X7:$int,X5:array_int,X9:$int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X5,X7,X6,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X5,X7,X6,sK3))))) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | $less(sK3,0) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3))) ) | ~spl8_21), 2.72/2.95 inference(resolution,[],[f1287,f181])). 2.72/2.95 tff(f3185,plain,( 2.72/2.95 spl8_628 <=> ! [X9 : $int,X5 : array_int,X7 : $int,X8 : array_int,X10 : $int,X6 : $int] : ($less(length1(int,t2tb1(X5)),$sum(X6,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X10,sK3)) | $less(length1(int,t2tb1(X8)),$sum(X9,sK3)) | is_common_prefix1(X8,X9,X10,sK3) | ~is_longest_common_prefix1(X5,X7,X6,sK7(X8,X9,X10,sK3)) | $less(length1(int,t2tb1(X5)),$sum(X7,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X6,sK7(X5,X7,X6,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X5)),t2tb($sum(X7,sK7(X5,X7,X6,sK3))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_628])])). 2.72/2.95 tff(f3187,plain,( 2.72/2.95 spl8_20 | spl8_628 | spl8_21), 2.72/2.95 inference(AVATAR_split_clause,[],[f3183,f241,f3185,f1589])). 2.72/2.95 tff(f3193,plain,( 2.72/2.95 ( ! [X28:$int,X26:array_int,X24:$int,X23:array_int,X27:$int,X25:$int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X23,X25,X24,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X23,X25,X24,sK0))))) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | ~is_longest_common_prefix1(X23,X25,X24,sK7(X26,X27,X28,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | $less(sK0,0) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0))) ) | ~spl8_25), 2.72/2.95 inference(resolution,[],[f1302,f181])). 2.72/2.95 tff(f3195,plain,( 2.72/2.95 spl8_630 <=> ! [X25 : $int,X27 : $int,X23 : array_int,X24 : $int,X26 : array_int,X28 : $int] : ($less(length1(int,t2tb1(X23)),$sum(X24,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0)) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | is_common_prefix1(X26,X27,X28,sK0) | ~is_longest_common_prefix1(X23,X25,X24,sK7(X26,X27,X28,sK0)) | $less(length1(int,t2tb1(X23)),$sum(X25,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(X23,X25,X24,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(X23,X25,X24,sK0))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_630])])). 2.72/2.95 tff(f3197,plain,( 2.72/2.95 spl8_24 | spl8_630 | spl8_25), 2.72/2.95 inference(AVATAR_split_clause,[],[f3193,f249,f3195,f485])). 2.72/2.95 tff(f3222,plain,( 2.72/2.95 ( ! [X8:$int,X7:array_int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,sK4,X8,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,sK4,X8,1))))) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,sK4,X8,1)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | ~$less(sK7(X7,sK4,X8,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1242,f884])). 2.72/2.95 tff(f3223,plain,( 2.72/2.95 ( ! [X10:$int,X9:array_int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,sK4,X10,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,sK4,X10,1))))) | $less(length1(int,t2tb1(X9)),sK5) | $less(1,sK6(X9,sK4,X10,1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | ~$less(sK7(X9,sK4,X10,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1242,f892])). 2.72/2.95 tff(f3224,plain,( 2.72/2.95 ( ! [X12:$int,X11:array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,sK4,X12,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,sK4,X12,1))))) | $less(length1(int,t2tb1(X11)),sK5) | $less(1,sK6(X11,sK4,X12,1)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | $less(sK7(X11,sK4,X12,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1242,f907])). 2.72/2.95 tff(f3225,plain,( 2.72/2.95 ( ! [X14:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,sK4,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,sK4,X14,1))))) | $less(length1(int,t2tb1(X13)),sK5) | $less(1,sK6(X13,sK4,X14,1)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(sK7(X13,sK4,X14,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1242,f916])). 2.72/2.95 tff(f3230,plain,( 2.72/2.95 spl8_632 <=> ! [X7 : array_int,X8 : $int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X7,sK4,X8,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | $less(1,sK6(X7,sK4,X8,1)) | $less(length1(int,t2tb1(X7)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,sK4,X8,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,sK4,X8,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_632])])). 2.72/2.95 tff(f3232,plain,( 2.72/2.95 ~spl8_359 | spl8_632 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3222,f211,f203,f3230,f1996])). 2.72/2.95 tff(f3234,plain,( 2.72/2.95 spl8_634 <=> ! [X9 : array_int,X10 : $int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X9,sK4,X10,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | $less(1,sK6(X9,sK4,X10,1)) | $less(length1(int,t2tb1(X9)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,sK4,X10,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,sK4,X10,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_634])])). 2.72/2.95 tff(f3236,plain,( 2.72/2.95 ~spl8_401 | spl8_634 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3223,f219,f203,f3234,f2100])). 2.72/2.95 tff(f3238,plain,( 2.72/2.95 spl8_636 <=> ! [X11 : array_int,X12 : $int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X11,sK4,X12,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | $less(1,sK6(X11,sK4,X12,1)) | $less(length1(int,t2tb1(X11)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,sK4,X12,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,sK4,X12,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_636])])). 2.72/2.95 tff(f3240,plain,( 2.72/2.95 ~spl8_359 | spl8_636 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3224,f211,f203,f3238,f1996])). 2.72/2.95 tff(f3242,plain,( 2.72/2.95 spl8_638 <=> ! [X13 : array_int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X13,sK4,X14,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(1,sK6(X13,sK4,X14,1)) | $less(length1(int,t2tb1(X13)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,sK4,X14,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,sK4,X14,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_638])])). 2.72/2.95 tff(f3244,plain,( 2.72/2.95 ~spl8_401 | spl8_638 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3225,f219,f203,f3242,f2100])). 2.72/2.95 tff(f3249,plain,( 2.72/2.95 ( ! [X8:$int,X7:array_int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,X8,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X8,sK4,1))))) | $less(length1(int,t2tb1(X7)),sK5) | $less(1,sK6(X7,X8,sK4,1)) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | ~$less(sK7(X7,X8,sK4,$sum(sK2,sK4)),0) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1260,f884])). 2.72/2.95 tff(f3250,plain,( 2.72/2.95 ( ! [X10:$int,X9:array_int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,X10,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,sK4,1))))) | $less(length1(int,t2tb1(X9)),sK5) | $less(1,sK6(X9,X10,sK4,1)) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | ~$less(sK7(X9,X10,sK4,$sum(sK3,sK4)),0) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1260,f892])). 2.72/2.95 tff(f3251,plain,( 2.72/2.95 ( ! [X12:$int,X11:array_int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,X12,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,X12,sK4,1))))) | $less(length1(int,t2tb1(X11)),sK5) | $less(1,sK6(X11,X12,sK4,1)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | $less(sK7(X11,X12,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | ~$less(1,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4)))) ) | (~spl8_2 | ~spl8_7)), 2.72/2.95 inference(resolution,[],[f1260,f907])). 2.72/2.95 tff(f3252,plain,( 2.72/2.95 ( ! [X14:$int,X13:array_int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,X14,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,X14,sK4,1))))) | $less(length1(int,t2tb1(X13)),sK5) | $less(1,sK6(X13,X14,sK4,1)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | $less(sK7(X13,X14,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | ~$less(1,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4)))) ) | (~spl8_2 | ~spl8_11)), 2.72/2.95 inference(resolution,[],[f1260,f916])). 2.72/2.95 tff(f3257,plain,( 2.72/2.95 spl8_640 <=> ! [X7 : array_int,X8 : $int] : ($less(length1(int,t2tb1(X7)),$sum(X8,1)) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK2,sK4))) | ~$less(sK7(X7,X8,sK4,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X7)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X7,X8,sK4,1)) | $less(length1(int,t2tb1(X7)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(sK4,sK7(X7,X8,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK7(X7,X8,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_640])])). 2.72/2.95 tff(f3259,plain,( 2.72/2.95 ~spl8_359 | spl8_640 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3249,f211,f203,f3257,f1996])). 2.72/2.95 tff(f3261,plain,( 2.72/2.95 spl8_642 <=> ! [X9 : array_int,X10 : $int] : ($less(length1(int,t2tb1(X9)),$sum(X10,1)) | $less(length1(int,t2tb1(X9)),$sum(X10,$sum(sK3,sK4))) | ~$less(sK7(X9,X10,sK4,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X9)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X9,X10,sK4,1)) | $less(length1(int,t2tb1(X9)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(sK4,sK7(X9,X10,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK7(X9,X10,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_642])])). 2.72/2.95 tff(f3263,plain,( 2.72/2.95 ~spl8_401 | spl8_642 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3250,f219,f203,f3261,f2100])). 2.72/2.95 tff(f3265,plain,( 2.72/2.95 spl8_644 <=> ! [X11 : array_int,X12 : $int] : ($less(length1(int,t2tb1(X11)),$sum(X12,1)) | $less(length1(int,t2tb1(X11)),$sum(X12,$sum(sK2,sK4))) | $less(sK7(X11,X12,sK4,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X11)),$sum(sK4,$sum(sK2,sK4))) | $less(1,sK6(X11,X12,sK4,1)) | $less(length1(int,t2tb1(X11)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(sK4,sK7(X11,X12,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X11)),t2tb($sum(X12,sK7(X11,X12,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_644])])). 2.72/2.95 tff(f3267,plain,( 2.72/2.95 ~spl8_359 | spl8_644 | ~spl8_2 | spl8_7), 2.72/2.95 inference(AVATAR_split_clause,[],[f3251,f211,f203,f3265,f1996])). 2.72/2.95 tff(f3269,plain,( 2.72/2.95 spl8_646 <=> ! [X13 : array_int,X14 : $int] : ($less(length1(int,t2tb1(X13)),$sum(X14,1)) | $less(length1(int,t2tb1(X13)),$sum(X14,$sum(sK3,sK4))) | $less(sK7(X13,X14,sK4,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X13)),$sum(sK4,$sum(sK3,sK4))) | $less(1,sK6(X13,X14,sK4,1)) | $less(length1(int,t2tb1(X13)),sK5) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(sK4,sK7(X13,X14,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK7(X13,X14,sK4,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_646])])). 2.72/2.95 tff(f3271,plain,( 2.72/2.95 ~spl8_401 | spl8_646 | ~spl8_2 | spl8_11), 2.72/2.95 inference(AVATAR_split_clause,[],[f3252,f219,f203,f3269,f2100])). 2.72/2.95 tff(f3277,plain,( 2.72/2.95 ( ! [X21:$int,X22:$int,X20:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum($sum(sK2,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4)) | is_longest_common_prefix1(X20,X21,X22,$sum(sK2,sK4)) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4)))) ) | (~spl8_7 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f906])). 2.72/2.95 tff(f3278,plain,( 2.72/2.95 ( ! [X24:$int,X23:array_int,X25:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum($sum(sK3,sK4),1)) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK3,sK4))) | $less(sK7(X23,X24,X25,$sum(sK3,sK4)),$sum(sK3,sK4)) | is_longest_common_prefix1(X23,X24,X25,$sum(sK3,sK4)) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK3,sK4)))) ) | (~spl8_11 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f915])). 2.72/2.95 tff(f3279,plain,( 2.72/2.95 ( ! [X28:$int,X26:array_int,X27:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK0,1)) | tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0)) | $less(sK7(X26,X27,X28,sK0),sK0) | is_longest_common_prefix1(X26,X27,X28,sK0) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0))) ) | (~spl8_25 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f713])). 2.72/2.95 tff(f3280,plain,( 2.72/2.95 ( ! [X30:$int,X31:$int,X29:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK2,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK2,sK4))))))) ) | (~spl8_7 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f316])). 2.72/2.95 tff(f3281,plain,( 2.72/2.95 ( ! [X33:$int,X34:$int,X32:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X32)),$sum(X33,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X32)),$sum(X34,$sum(sK2,sK4))) | $less(sK7(X32,X33,X34,$sum(sK2,sK4)),$sum(sK2,sK4))) ) | (~spl8_7 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f314])). 2.72/2.95 tff(f3282,plain,( 2.72/2.95 ( ! [X37:$int,X35:array_int,X36:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK2,sK4))) | ~$less(sK7(X35,X36,X37,$sum(sK2,sK4)),0)) ) | (~spl8_7 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f315])). 2.72/2.95 tff(f3283,plain,( 2.72/2.95 ( ! [X39:$int,X38:array_int,X40:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,1)) | tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)) | $less(sK7(X38,X39,X40,sK2),sK2) | is_longest_common_prefix1(X38,X39,X40,sK2) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2))) ) | (~spl8_17 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f608])). 2.72/2.95 tff(f3284,plain,( 2.72/2.95 ( ! [X43:$int,X41:array_int,X42:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X43,$sum(sK3,sK4))) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK7(X41,X42,X43,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK7(X41,X42,X43,$sum(sK3,sK4))))))) ) | (~spl8_11 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f332])). 2.72/2.95 tff(f3285,plain,( 2.72/2.95 ( ! [X45:$int,X46:$int,X44:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X44)),$sum(X45,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X44)),$sum(X46,$sum(sK3,sK4))) | $less(sK7(X44,X45,X46,$sum(sK3,sK4)),$sum(sK3,sK4))) ) | (~spl8_11 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f330])). 2.72/2.95 tff(f3286,plain,( 2.72/2.95 ( ! [X47:array_int,X48:$int,X49:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X49,$sum(sK3,sK4))) | ~$less(sK7(X47,X48,X49,$sum(sK3,sK4)),0)) ) | (~spl8_11 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f331])). 2.72/2.95 tff(f3287,plain,( 2.72/2.95 ( ! [X52:$int,X50:array_int,X51:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X50)),t2tb($sum(X51,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X50)),t2tb($sum(X52,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X50)),$sum(X52,sK3)) | $less(sK7(X50,X51,X52,sK3),sK3) | is_longest_common_prefix1(X50,X51,X52,sK3) | $less(length1(int,t2tb1(X50)),$sum(X51,sK3))) ) | (~spl8_21 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f653])). 2.72/2.95 tff(f3288,plain,( 2.72/2.95 ( ! [X54:$int,X55:$int,X53:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X54,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X55,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X54,sK7(X53,X54,X55,1))))) != tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X55,sK7(X53,X54,X55,1))))) | $less(length1(int,t2tb1(X53)),$sum(X55,1)) | $less(length1(int,t2tb1(X53)),$sum(X54,1))) ) | (~spl8_43 | ~spl8_98)), 2.72/2.95 inference(resolution,[],[f533,f754])). 2.72/2.95 tff(f3289,plain,( 2.72/2.95 ( ! [X57:$int,X58:$int,X56:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X58,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X56,X57,X58,1),0) | $less(length1(int,t2tb1(X56)),$sum(X58,1)) | $less(length1(int,t2tb1(X56)),$sum(X57,1))) ) | (~spl8_43 | ~spl8_96)), 2.72/2.95 inference(resolution,[],[f533,f750])). 2.72/2.95 tff(f3290,plain,( 2.72/2.95 ( ! [X61:$int,X59:array_int,X60:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X59)),t2tb($sum(X60,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X59)),t2tb($sum(X61,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X59,X60,X61,1),1) | $less(length1(int,t2tb1(X59)),$sum(X61,1)) | $less(length1(int,t2tb1(X59)),$sum(X60,1))) ) | (~spl8_43 | ~spl8_92)), 2.72/2.95 inference(resolution,[],[f533,f743])). 2.72/2.95 tff(f3291,plain,( 2.72/2.95 ( ! [X64:$int,X62:array_int,X63:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK0) | tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X63,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X64,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X62)),$sum(X63,sK0)) | $less(length1(int,t2tb1(X62)),$sum(X64,sK0)) | tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X63,sK7(X62,X63,X64,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X64,sK7(X62,X63,X64,sK0)))))) ) | (~spl8_25 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f270])). 2.72/2.95 tff(f3292,plain,( 2.72/2.95 ( ! [X66:$int,X67:$int,X65:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK0) | tb2t(get(int,int,elts(int,t2tb1(X65)),t2tb($sum(X66,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X65)),t2tb($sum(X67,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X65)),$sum(X66,sK0)) | $less(length1(int,t2tb1(X65)),$sum(X67,sK0)) | ~$less(sK7(X65,X66,X67,sK0),0)) ) | (~spl8_25 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f269])). 2.72/2.95 tff(f3293,plain,( 2.72/2.95 ( ! [X70:$int,X68:array_int,X69:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK0) | tb2t(get(int,int,elts(int,t2tb1(X68)),t2tb($sum(X69,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X68)),t2tb($sum(X70,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X68)),$sum(X69,sK0)) | $less(length1(int,t2tb1(X68)),$sum(X70,sK0)) | $less(sK7(X68,X69,X70,sK0),sK0)) ) | (~spl8_25 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f268])). 2.72/2.95 tff(f3294,plain,( 2.72/2.95 ( ! [X72:$int,X71:array_int,X73:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK2) | tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X72,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X73,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X71)),$sum(X72,sK2)) | $less(length1(int,t2tb1(X71)),$sum(X73,sK2)) | tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X72,sK7(X71,X72,X73,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X73,sK7(X71,X72,X73,sK2)))))) ) | (~spl8_17 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f254])). 2.72/2.95 tff(f3295,plain,( 2.72/2.95 ( ! [X76:$int,X74:array_int,X75:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK2) | tb2t(get(int,int,elts(int,t2tb1(X74)),t2tb($sum(X75,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X74)),t2tb($sum(X76,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X74)),$sum(X75,sK2)) | $less(length1(int,t2tb1(X74)),$sum(X76,sK2)) | ~$less(sK7(X74,X75,X76,sK2),0)) ) | (~spl8_17 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f253])). 2.72/2.95 tff(f3296,plain,( 2.72/2.95 ( ! [X78:$int,X79:$int,X77:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK2) | tb2t(get(int,int,elts(int,t2tb1(X77)),t2tb($sum(X78,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X77)),t2tb($sum(X79,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X77)),$sum(X78,sK2)) | $less(length1(int,t2tb1(X77)),$sum(X79,sK2)) | $less(sK7(X77,X78,X79,sK2),sK2)) ) | (~spl8_17 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f252])). 2.72/2.95 tff(f3297,plain,( 2.72/2.95 ( ! [X80:array_int,X81:$int,X82:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK3) | tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X81,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X82,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X80)),$sum(X81,sK3)) | $less(length1(int,t2tb1(X80)),$sum(X82,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X81,sK7(X80,X81,X82,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X82,sK7(X80,X81,X82,sK3)))))) ) | (~spl8_21 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f262])). 2.72/2.95 tff(f3298,plain,( 2.72/2.95 ( ! [X85:$int,X83:array_int,X84:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK3) | tb2t(get(int,int,elts(int,t2tb1(X83)),t2tb($sum(X84,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X83)),t2tb($sum(X85,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X83)),$sum(X84,sK3)) | $less(length1(int,t2tb1(X83)),$sum(X85,sK3)) | ~$less(sK7(X83,X84,X85,sK3),0)) ) | (~spl8_21 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f261])). 2.72/2.95 tff(f3299,plain,( 2.72/2.95 ( ! [X88:$int,X87:$int,X86:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK3) | tb2t(get(int,int,elts(int,t2tb1(X86)),t2tb($sum(X87,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X86)),t2tb($sum(X88,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X86)),$sum(X87,sK3)) | $less(length1(int,t2tb1(X86)),$sum(X88,sK3)) | $less(sK7(X86,X87,X88,sK3),sK3)) ) | (~spl8_21 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f260])). 2.72/2.95 tff(f3300,plain,( 2.72/2.95 ( ! [X90:$int,X91:$int,X89:array_int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4) | tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X90,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X91,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X89)),$sum(X90,sK4)) | $less(length1(int,t2tb1(X89)),$sum(X91,sK4)) | tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X90,sK7(X89,X90,X91,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X91,sK7(X89,X90,X91,sK4)))))) ) | (~spl8_27 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f437])). 2.72/2.95 tff(f3301,plain,( 2.72/2.95 ( ! [X94:$int,X92:array_int,X93:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4) | tb2t(get(int,int,elts(int,t2tb1(X92)),t2tb($sum(X93,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X92)),t2tb($sum(X94,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X92)),$sum(X93,sK4)) | $less(length1(int,t2tb1(X92)),$sum(X94,sK4)) | ~$less(sK7(X92,X93,X94,sK4),0)) ) | (~spl8_27 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f436])). 2.72/2.95 tff(f3302,plain,( 2.72/2.95 ( ! [X97:$int,X95:array_int,X96:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4) | tb2t(get(int,int,elts(int,t2tb1(X95)),t2tb($sum(X96,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X95)),t2tb($sum(X97,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X95)),$sum(X96,sK4)) | $less(length1(int,t2tb1(X95)),$sum(X97,sK4)) | $less(sK7(X95,X96,X97,sK4),sK4)) ) | (~spl8_27 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f435])). 2.72/2.95 tff(f3314,plain,( 2.72/2.95 ( ! [X132:array_int,X133:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(X133,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X132)),sK5) | $less(length1(int,t2tb1(X132)),$sum(X133,1)) | tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(sK4,sK7(X132,X133,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(X133,sK7(X132,X133,sK4,1)))))) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f292])). 2.72/2.95 tff(f3315,plain,( 2.72/2.95 ( ! [X134:array_int,X135:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X134)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X134)),t2tb($sum(X135,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X134)),sK5) | $less(length1(int,t2tb1(X134)),$sum(X135,1)) | $less(sK7(X134,X135,sK4,1),1)) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f302])). 2.72/2.95 tff(f3316,plain,( 2.72/2.95 ( ! [X136:array_int,X137:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X136)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X136)),t2tb($sum(X137,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X136)),sK5) | $less(length1(int,t2tb1(X136)),$sum(X137,1)) | ~$less(sK7(X136,X137,sK4,1),0)) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f300])). 2.72/2.95 tff(f3319,plain,( 2.72/2.95 ( ! [X142:array_int,X143:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(X143,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X142)),sK5) | $less(length1(int,t2tb1(X142)),$sum(X143,1)) | tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(sK4,sK7(X142,sK4,X143,1))))) != tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(X143,sK7(X142,sK4,X143,1)))))) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f291])). 2.72/2.95 tff(f3320,plain,( 2.72/2.95 ( ! [X144:array_int,X145:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X144)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X144)),t2tb($sum(X145,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X144)),sK5) | $less(length1(int,t2tb1(X144)),$sum(X145,1)) | $less(sK7(X144,sK4,X145,1),1)) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f301])). 2.72/2.95 tff(f3321,plain,( 2.72/2.95 ( ! [X146:array_int,X147:$int] : (~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1) | tb2t(get(int,int,elts(int,t2tb1(X146)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X146)),t2tb($sum(X147,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X146)),sK5) | $less(length1(int,t2tb1(X146)),$sum(X147,1)) | ~$less(sK7(X146,sK4,X147,1),0)) ) | (~spl8_2 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f299])). 2.72/2.95 tff(f3324,plain,( 2.72/2.95 ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | (~spl8_14 | ~spl8_43)), 2.72/2.95 inference(resolution,[],[f533,f230])). 2.72/2.95 tff(f3326,plain,( 2.72/2.95 spl8_648 <=> ! [X20 : array_int,X22 : $int,X21 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X20)),$sum(X21,$sum(sK2,sK4))) | is_longest_common_prefix1(X20,X21,X22,$sum(sK2,sK4)) | $less(sK7(X20,X21,X22,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X20)),$sum(X22,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_648])])). 2.72/2.95 tff(f3329,plain,( 2.72/2.95 spl8_651 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum($sum(sK2,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_651])])). 2.72/2.95 tff(f3331,plain,( 2.72/2.95 spl8_648 | ~spl8_651 | spl8_7 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3277,f372,f211,f3329,f3326])). 2.72/2.95 tff(f3333,plain,( 2.72/2.95 spl8_652 <=> ! [X25 : $int,X23 : array_int,X24 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X23)),$sum(X24,$sum(sK3,sK4))) | is_longest_common_prefix1(X23,X24,X25,$sum(sK3,sK4)) | $less(sK7(X23,X24,X25,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X23)),$sum(X25,$sum(sK3,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_652])])). 2.72/2.95 tff(f3336,plain,( 2.72/2.95 spl8_655 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum($sum(sK3,sK4),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_655])])). 2.72/2.95 tff(f3338,plain,( 2.72/2.95 spl8_652 | ~spl8_655 | spl8_11 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3278,f372,f219,f3336,f3333])). 2.72/2.95 tff(f3340,plain,( 2.72/2.95 spl8_656 <=> ! [X27 : $int,X26 : array_int,X28 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X27,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X26)),t2tb($sum(X28,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X26)),$sum(X27,sK0)) | is_longest_common_prefix1(X26,X27,X28,sK0) | $less(sK7(X26,X27,X28,sK0),sK0) | $less(length1(int,t2tb1(X26)),$sum(X28,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_656])])). 2.72/2.95 tff(f3343,plain,( 2.72/2.95 spl8_659 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK0,1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_659])])). 2.72/2.95 tff(f3345,plain,( 2.72/2.95 spl8_656 | ~spl8_659 | spl8_25 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3279,f372,f249,f3343,f3340])). 2.72/2.95 tff(f3347,plain,( 2.72/2.95 spl8_660 <=> ! [X29 : array_int,X31 : $int,X30 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X30,sK7(X29,X30,X31,$sum(sK2,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X29)),t2tb($sum(X31,sK7(X29,X30,X31,$sum(sK2,sK4)))))) | $less(length1(int,t2tb1(X29)),$sum(X31,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X29)),$sum(X30,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_660])])). 2.72/2.95 tff(f3350,plain,( 2.72/2.95 spl8_663 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,sK4))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_663])])). 2.72/2.95 tff(f3352,plain,( 2.72/2.95 spl8_660 | ~spl8_663 | spl8_7 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3280,f372,f211,f3350,f3347])). 2.72/2.95 tff(f3354,plain,( 2.72/2.95 spl8_664 <=> ! [X32 : array_int,X34 : $int,X33 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X33,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X32)),t2tb($sum(X34,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X32,X33,X34,$sum(sK2,sK4)),$sum(sK2,sK4)) | $less(length1(int,t2tb1(X32)),$sum(X34,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X32)),$sum(X33,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_664])])). 2.72/2.95 tff(f3356,plain,( 2.72/2.95 spl8_664 | ~spl8_663 | spl8_7 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3281,f372,f211,f3350,f3354])). 2.72/2.95 tff(f3358,plain,( 2.72/2.95 spl8_666 <=> ! [X36 : $int,X35 : array_int,X37 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X36,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X35)),t2tb($sum(X37,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X35,X36,X37,$sum(sK2,sK4)),0) | $less(length1(int,t2tb1(X35)),$sum(X37,$sum(sK2,sK4))) | $less(length1(int,t2tb1(X35)),$sum(X36,$sum(sK2,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_666])])). 2.72/2.95 tff(f3360,plain,( 2.72/2.95 spl8_666 | ~spl8_663 | spl8_7 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3282,f372,f211,f3350,f3358])). 2.72/2.95 tff(f3362,plain,( 2.72/2.95 spl8_668 <=> ! [X40 : $int,X38 : array_int,X39 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X39,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X38)),t2tb($sum(X40,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X38)),$sum(X39,sK2)) | is_longest_common_prefix1(X38,X39,X40,sK2) | $less(sK7(X38,X39,X40,sK2),sK2) | $less(length1(int,t2tb1(X38)),$sum(X40,sK2)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_668])])). 2.72/2.95 tff(f3365,plain,( 2.72/2.95 spl8_671 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK2,1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_671])])). 2.72/2.95 tff(f3367,plain,( 2.72/2.95 spl8_668 | ~spl8_671 | spl8_17 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3283,f372,f233,f3365,f3362])). 2.72/2.95 tff(f3369,plain,( 2.72/2.95 spl8_672 <=> ! [X42 : $int,X41 : array_int,X43 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X42,sK7(X41,X42,X43,$sum(sK3,sK4)))))) != tb2t(get(int,int,elts(int,t2tb1(X41)),t2tb($sum(X43,sK7(X41,X42,X43,$sum(sK3,sK4)))))) | $less(length1(int,t2tb1(X41)),$sum(X43,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X41)),$sum(X42,$sum(sK3,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_672])])). 2.72/2.95 tff(f3372,plain,( 2.72/2.95 spl8_675 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,sK4))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_675])])). 2.72/2.95 tff(f3374,plain,( 2.72/2.95 spl8_672 | ~spl8_675 | spl8_11 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3284,f372,f219,f3372,f3369])). 2.72/2.95 tff(f3376,plain,( 2.72/2.95 spl8_676 <=> ! [X44 : array_int,X46 : $int,X45 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X45,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X44)),t2tb($sum(X46,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X44,X45,X46,$sum(sK3,sK4)),$sum(sK3,sK4)) | $less(length1(int,t2tb1(X44)),$sum(X46,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X44)),$sum(X45,$sum(sK3,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_676])])). 2.72/2.95 tff(f3378,plain,( 2.72/2.95 spl8_676 | ~spl8_675 | spl8_11 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3285,f372,f219,f3372,f3376])). 2.72/2.95 tff(f3380,plain,( 2.72/2.95 spl8_678 <=> ! [X49 : $int,X48 : $int,X47 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X48,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X47)),t2tb($sum(X49,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X47,X48,X49,$sum(sK3,sK4)),0) | $less(length1(int,t2tb1(X47)),$sum(X49,$sum(sK3,sK4))) | $less(length1(int,t2tb1(X47)),$sum(X48,$sum(sK3,sK4))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_678])])). 2.72/2.95 tff(f3382,plain,( 2.72/2.95 spl8_678 | ~spl8_675 | spl8_11 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3286,f372,f219,f3372,f3380])). 2.72/2.95 tff(f3384,plain,( 2.72/2.95 spl8_680 <=> ! [X51 : $int,X50 : array_int,X52 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X50)),t2tb($sum(X51,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X50)),t2tb($sum(X52,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X50)),$sum(X51,sK3)) | is_longest_common_prefix1(X50,X51,X52,sK3) | $less(sK7(X50,X51,X52,sK3),sK3) | $less(length1(int,t2tb1(X50)),$sum(X52,sK3)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_680])])). 2.72/2.95 tff(f3387,plain,( 2.72/2.95 spl8_683 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),$sum(sK3,1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_683])])). 2.72/2.95 tff(f3389,plain,( 2.72/2.95 spl8_680 | ~spl8_683 | spl8_21 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3287,f372,f241,f3387,f3384])). 2.72/2.95 tff(f3391,plain,( 2.72/2.95 spl8_684 <=> ! [X53 : array_int,X55 : $int,X54 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X54,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X55,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X53)),$sum(X54,1)) | $less(length1(int,t2tb1(X53)),$sum(X55,1)) | tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X54,sK7(X53,X54,X55,1))))) != tb2t(get(int,int,elts(int,t2tb1(X53)),t2tb($sum(X55,sK7(X53,X54,X55,1))))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_684])])). 2.72/2.95 tff(f3394,plain,( 2.72/2.95 spl8_687 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),1)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_687])])). 2.72/2.95 tff(f3396,plain,( 2.72/2.95 spl8_684 | ~spl8_687 | spl8_43 | ~spl8_98), 2.72/2.95 inference(AVATAR_split_clause,[],[f3288,f753,f372,f3394,f3391])). 2.72/2.95 tff(f3398,plain,( 2.72/2.95 spl8_688 <=> ! [X56 : array_int,X58 : $int,X57 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X57,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X56)),t2tb($sum(X58,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X56)),$sum(X57,1)) | $less(length1(int,t2tb1(X56)),$sum(X58,1)) | ~$less(sK7(X56,X57,X58,1),0))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_688])])). 2.72/2.95 tff(f3400,plain,( 2.72/2.95 spl8_688 | ~spl8_687 | spl8_43 | ~spl8_96), 2.72/2.95 inference(AVATAR_split_clause,[],[f3289,f749,f372,f3394,f3398])). 2.72/2.95 tff(f3402,plain,( 2.72/2.95 spl8_690 <=> ! [X60 : $int,X59 : array_int,X61 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X59)),t2tb($sum(X60,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X59)),t2tb($sum(X61,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(length1(int,t2tb1(X59)),$sum(X60,1)) | $less(length1(int,t2tb1(X59)),$sum(X61,1)) | $less(sK7(X59,X60,X61,1),1))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_690])])). 2.72/2.95 tff(f3404,plain,( 2.72/2.95 spl8_690 | ~spl8_687 | spl8_43 | ~spl8_92), 2.72/2.95 inference(AVATAR_split_clause,[],[f3290,f742,f372,f3394,f3402])). 2.72/2.95 tff(f3406,plain,( 2.72/2.95 spl8_692 <=> ! [X63 : $int,X62 : array_int,X64 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X63,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X64,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X63,sK7(X62,X63,X64,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X62)),t2tb($sum(X64,sK7(X62,X63,X64,sK0))))) | $less(length1(int,t2tb1(X62)),$sum(X64,sK0)) | $less(length1(int,t2tb1(X62)),$sum(X63,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_692])])). 2.72/2.95 tff(f3409,plain,( 2.72/2.95 spl8_695 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK0)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_695])])). 2.72/2.95 tff(f3411,plain,( 2.72/2.95 spl8_692 | ~spl8_695 | spl8_25 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3291,f372,f249,f3409,f3406])). 2.72/2.95 tff(f3413,plain,( 2.72/2.95 spl8_696 <=> ! [X65 : array_int,X67 : $int,X66 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X65)),t2tb($sum(X66,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X65)),t2tb($sum(X67,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X65,X66,X67,sK0),0) | $less(length1(int,t2tb1(X65)),$sum(X67,sK0)) | $less(length1(int,t2tb1(X65)),$sum(X66,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_696])])). 2.72/2.95 tff(f3415,plain,( 2.72/2.95 spl8_696 | ~spl8_695 | spl8_25 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3292,f372,f249,f3409,f3413])). 2.72/2.95 tff(f3417,plain,( 2.72/2.95 spl8_698 <=> ! [X69 : $int,X68 : array_int,X70 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X68)),t2tb($sum(X69,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X68)),t2tb($sum(X70,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X68,X69,X70,sK0),sK0) | $less(length1(int,t2tb1(X68)),$sum(X70,sK0)) | $less(length1(int,t2tb1(X68)),$sum(X69,sK0)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_698])])). 2.72/2.95 tff(f3419,plain,( 2.72/2.95 spl8_698 | ~spl8_695 | spl8_25 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3293,f372,f249,f3409,f3417])). 2.72/2.95 tff(f3421,plain,( 2.72/2.95 spl8_700 <=> ! [X73 : $int,X71 : array_int,X72 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X72,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X73,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X72,sK7(X71,X72,X73,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(X71)),t2tb($sum(X73,sK7(X71,X72,X73,sK2))))) | $less(length1(int,t2tb1(X71)),$sum(X73,sK2)) | $less(length1(int,t2tb1(X71)),$sum(X72,sK2)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_700])])). 2.72/2.95 tff(f3424,plain,( 2.72/2.95 spl8_703 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK2)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_703])])). 2.72/2.95 tff(f3426,plain,( 2.72/2.95 spl8_700 | ~spl8_703 | spl8_17 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3294,f372,f233,f3424,f3421])). 2.72/2.95 tff(f3428,plain,( 2.72/2.95 spl8_704 <=> ! [X75 : $int,X74 : array_int,X76 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X74)),t2tb($sum(X75,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X74)),t2tb($sum(X76,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X74,X75,X76,sK2),0) | $less(length1(int,t2tb1(X74)),$sum(X76,sK2)) | $less(length1(int,t2tb1(X74)),$sum(X75,sK2)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_704])])). 2.72/2.95 tff(f3430,plain,( 2.72/2.95 spl8_704 | ~spl8_703 | spl8_17 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3295,f372,f233,f3424,f3428])). 2.72/2.95 tff(f3432,plain,( 2.72/2.95 spl8_706 <=> ! [X77 : array_int,X79 : $int,X78 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X77)),t2tb($sum(X78,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X77)),t2tb($sum(X79,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X77,X78,X79,sK2),sK2) | $less(length1(int,t2tb1(X77)),$sum(X79,sK2)) | $less(length1(int,t2tb1(X77)),$sum(X78,sK2)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_706])])). 2.72/2.95 tff(f3434,plain,( 2.72/2.95 spl8_706 | ~spl8_703 | spl8_17 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3296,f372,f233,f3424,f3432])). 2.72/2.95 tff(f3436,plain,( 2.72/2.95 spl8_708 <=> ! [X82 : $int,X81 : $int,X80 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X81,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X82,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X81,sK7(X80,X81,X82,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X80)),t2tb($sum(X82,sK7(X80,X81,X82,sK3))))) | $less(length1(int,t2tb1(X80)),$sum(X82,sK3)) | $less(length1(int,t2tb1(X80)),$sum(X81,sK3)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_708])])). 2.72/2.95 tff(f3439,plain,( 2.72/2.95 spl8_711 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK3)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_711])])). 2.72/2.95 tff(f3441,plain,( 2.72/2.95 spl8_708 | ~spl8_711 | spl8_21 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3297,f372,f241,f3439,f3436])). 2.72/2.95 tff(f3443,plain,( 2.72/2.95 spl8_712 <=> ! [X84 : $int,X83 : array_int,X85 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X83)),t2tb($sum(X84,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X83)),t2tb($sum(X85,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X83,X84,X85,sK3),0) | $less(length1(int,t2tb1(X83)),$sum(X85,sK3)) | $less(length1(int,t2tb1(X83)),$sum(X84,sK3)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_712])])). 2.72/2.95 tff(f3445,plain,( 2.72/2.95 spl8_712 | ~spl8_711 | spl8_21 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3298,f372,f241,f3439,f3443])). 2.72/2.95 tff(f3447,plain,( 2.72/2.95 spl8_714 <=> ! [X86 : array_int,X87 : $int,X88 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X86)),t2tb($sum(X87,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X86)),t2tb($sum(X88,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X86,X87,X88,sK3),sK3) | $less(length1(int,t2tb1(X86)),$sum(X88,sK3)) | $less(length1(int,t2tb1(X86)),$sum(X87,sK3)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_714])])). 2.72/2.95 tff(f3449,plain,( 2.72/2.95 spl8_714 | ~spl8_711 | spl8_21 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3299,f372,f241,f3439,f3447])). 2.72/2.95 tff(f3451,plain,( 2.72/2.95 spl8_716 <=> ! [X89 : array_int,X91 : $int,X90 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X90,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X91,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X90,sK7(X89,X90,X91,sK4))))) != tb2t(get(int,int,elts(int,t2tb1(X89)),t2tb($sum(X91,sK7(X89,X90,X91,sK4))))) | $less(length1(int,t2tb1(X89)),$sum(X91,sK4)) | $less(length1(int,t2tb1(X89)),$sum(X90,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_716])])). 2.72/2.95 tff(f3454,plain,( 2.72/2.95 spl8_719 <=> ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4)), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_719])])). 2.72/2.95 tff(f3456,plain,( 2.72/2.95 spl8_716 | ~spl8_719 | spl8_27 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3300,f372,f425,f3454,f3451])). 2.72/2.95 tff(f3458,plain,( 2.72/2.95 spl8_720 <=> ! [X93 : $int,X92 : array_int,X94 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X92)),t2tb($sum(X93,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X92)),t2tb($sum(X94,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X92,X93,X94,sK4),0) | $less(length1(int,t2tb1(X92)),$sum(X94,sK4)) | $less(length1(int,t2tb1(X92)),$sum(X93,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_720])])). 2.72/2.95 tff(f3460,plain,( 2.72/2.95 spl8_720 | ~spl8_719 | spl8_27 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3301,f372,f425,f3454,f3458])). 2.72/2.95 tff(f3462,plain,( 2.72/2.95 spl8_722 <=> ! [X96 : $int,X95 : array_int,X97 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X95)),t2tb($sum(X96,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X95)),t2tb($sum(X97,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X95,X96,X97,sK4),sK4) | $less(length1(int,t2tb1(X95)),$sum(X97,sK4)) | $less(length1(int,t2tb1(X95)),$sum(X96,sK4)))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_722])])). 2.72/2.95 tff(f3464,plain,( 2.72/2.95 spl8_722 | ~spl8_719 | spl8_27 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3302,f372,f425,f3454,f3462])). 2.72/2.95 tff(f3466,plain,( 2.72/2.95 spl8_724 <=> ! [X133 : $int,X132 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(X133,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(sK4,sK7(X132,X133,sK4,1))))) != tb2t(get(int,int,elts(int,t2tb1(X132)),t2tb($sum(X133,sK7(X132,X133,sK4,1))))) | $less(length1(int,t2tb1(X132)),$sum(X133,1)) | $less(length1(int,t2tb1(X132)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_724])])). 2.72/2.95 tff(f3468,plain,( 2.72/2.95 spl8_724 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3314,f372,f203,f3394,f3466])). 2.72/2.95 tff(f3470,plain,( 2.72/2.95 spl8_726 <=> ! [X135 : $int,X134 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X134)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X134)),t2tb($sum(X135,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X134,X135,sK4,1),1) | $less(length1(int,t2tb1(X134)),$sum(X135,1)) | $less(length1(int,t2tb1(X134)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_726])])). 2.72/2.95 tff(f3472,plain,( 2.72/2.95 spl8_726 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3315,f372,f203,f3394,f3470])). 2.72/2.95 tff(f3474,plain,( 2.72/2.95 spl8_728 <=> ! [X137 : $int,X136 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X136)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X136)),t2tb($sum(X137,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X136,X137,sK4,1),0) | $less(length1(int,t2tb1(X136)),$sum(X137,1)) | $less(length1(int,t2tb1(X136)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_728])])). 2.72/2.95 tff(f3476,plain,( 2.72/2.95 spl8_728 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3316,f372,f203,f3394,f3474])). 2.72/2.95 tff(f3478,plain,( 2.72/2.95 spl8_730 <=> ! [X143 : $int,X142 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(X143,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(sK4,sK7(X142,sK4,X143,1))))) != tb2t(get(int,int,elts(int,t2tb1(X142)),t2tb($sum(X143,sK7(X142,sK4,X143,1))))) | $less(length1(int,t2tb1(X142)),$sum(X143,1)) | $less(length1(int,t2tb1(X142)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_730])])). 2.72/2.95 tff(f3480,plain,( 2.72/2.95 spl8_730 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3319,f372,f203,f3394,f3478])). 2.72/2.95 tff(f3482,plain,( 2.72/2.95 spl8_732 <=> ! [X145 : $int,X144 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X144)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X144)),t2tb($sum(X145,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | $less(sK7(X144,sK4,X145,1),1) | $less(length1(int,t2tb1(X144)),$sum(X145,1)) | $less(length1(int,t2tb1(X144)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_732])])). 2.72/2.95 tff(f3484,plain,( 2.72/2.95 spl8_732 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3320,f372,f203,f3394,f3482])). 2.72/2.95 tff(f3486,plain,( 2.72/2.95 spl8_734 <=> ! [X147 : $int,X146 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X146)),t2tb($sum(sK4,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,t2tb1(X146)),t2tb($sum(X147,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(X146,sK4,X147,1),0) | $less(length1(int,t2tb1(X146)),$sum(X147,1)) | $less(length1(int,t2tb1(X146)),sK5))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_734])])). 2.72/2.95 tff(f3488,plain,( 2.72/2.95 spl8_734 | ~spl8_687 | ~spl8_2 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3321,f372,f203,f3394,f3486])). 2.72/2.95 tff(f3489,plain,( 2.72/2.95 tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) | ~$less(sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5),sK4) | (~spl8_14 | ~spl8_43)), 2.72/2.95 inference(forward_demodulation,[],[f3324,f146])). 2.72/2.95 tff(f3491,plain,( 2.72/2.95 spl8_44 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK2,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(sK3,sK7(tb2t1(mk_array1(int,sK0,t2tb2(sK1))),sK2,sK3,sK5)))))), 2.72/2.95 introduced(AVATAR_definition,[new_symbols(naming,[spl8_44])])). 2.72/2.95 tff(f3493,plain,( 2.72/2.95 ~spl8_719 | spl8_44 | ~spl8_14 | spl8_43), 2.72/2.95 inference(AVATAR_split_clause,[],[f3489,f372,f229,f3491,f3454])). 2.72/2.95 tff(f3494,plain,( 2.72/2.95 $false), 2.72/2.95 inference(AVATAR_sat_refutation,[],[f201,f205,f209,f213,f217,f221,f225,f226,f227,f231,f235,f239,f243,f247,f251,f309,f329,f345,f366,f374,f383,f387,f403,f407,f411,f417,f423,f427,f434,f490,f494,f498,f508,f512,f516,f529,f546,f630,f634,f638,f642,f644,f681,f689,f698,f702,f747,f751,f755,f759,f763,f767,f781,f782,f783,f784,f785,f786,f801,f805,f821,f825,f840,f844,f855,f859,f863,f873,f877,f881,f905,f950,f954,f961,f965,f969,f970,f977,f981,f988,f992,f999,f1003,f1007,f1011,f1019,f1048,f1052,f1059,f1063,f1067,f1068,f1075,f1079,f1086,f1090,f1097,f1101,f1105,f1109,f1117,f1141,f1145,f1149,f1168,f1172,f1176,f1194,f1198,f1202,f1221,f1225,f1229,f1237,f1256,f1274,f1311,f1312,f1324,f1328,f1332,f1334,f1346,f1350,f1354,f1368,f1372,f1387,f1391,f1405,f1409,f1413,f1424,f1428,f1432,f1578,f1584,f1594,f1600,f1609,f1617,f1630,f1662,f1663,f1734,f1741,f1748,f1755,f1786,f1793,f1800,f1807,f1838,f1845,f1852,f1859,f1972,f1976,f1983,f1987,f1994,f2001,f2005,f2009,f2013,f2017,f2021,f2025,f2029,f2043,f2050,f2076,f2080,f2087,f2091,f2098,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2147,f2170,f2174,f2198,f2202,f2230,f2234,f2238,f2242,f2246,f2250,f2254,f2258,f2262,f2266,f2270,f2274,f2278,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2393,f2397,f2401,f2413,f2417,f2421,f2432,f2436,f2440,f2506,f2510,f2517,f2521,f2526,f2564,f2568,f2575,f2579,f2584,f2606,f2633,f2637,f2664,f2671,f2675,f2679,f2695,f2702,f2706,f2721,f2725,f2729,f2775,f2802,f2806,f2825,f2829,f2833,f2841,f2845,f2849,f2858,f2862,f2866,f2959,f2963,f2967,f2973,f2979,f2990,f2994,f2998,f3004,f3010,f3021,f3031,f3063,f3067,f3071,f3085,f3089,f3101,f3113,f3117,f3121,f3135,f3139,f3143,f3147,f3162,f3166,f3170,f3174,f3180,f3187,f3197,f3232,f3236,f3240,f3244,f3259,f3263,f3267,f3271,f3331,f3338,f3345,f3352,f3356,f3360,f3367,f3374,f3378,f3382,f3389,f3396,f3400,f3404,f3411,f3415,f3419,f3426,f3430,f3434,f3441,f3445,f3449,f3456,f3460,f3464,f3468,f3472,f3476,f3480,f3484,f3488,f3493])). 2.72/2.95 % SZS output end Proof for theBenchmark 2.72/2.95 % ------------------------------ 2.72/2.95 % Version: Vampire 4.1 for CASC J8 Entry 2.72/2.95 % Termination reason: Refutation 2.72/2.95 2.72/2.95 % Memory used [KB]: 3326 2.72/2.95 % Time elapsed: 0.268 s 2.72/2.95 % ------------------------------ 2.72/2.95 % ------------------------------ 2.72/2.95 % Success in time 2.71 s 2.72/2.95 EOF