0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.02/0.24 % Computer : n132.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:33:11 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.24 % remaining time: 2999 next slice time: 3 0.02/0.27 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 % (61936)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]: 14456 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 0.44/0.68 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.49/1.07 % (61937)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]: 4733 0.49/1.07 % Time elapsed: 0.400 s 0.49/1.07 % ------------------------------ 0.49/1.07 % ------------------------------ 0.49/1.08 % remaining time: 2991 next slice time: 5 0.49/1.08 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 1.43/1.68 % (61938)Time limit reached! 1.43/1.68 % ------------------------------ 1.43/1.68 % Version: Vampire 4.1 for CASC J8 Entry 1.43/1.68 % Termination reason: Time limit 1.43/1.68 % Termination phase: Saturation 1.43/1.68 1.43/1.68 % Memory used [KB]: 16886 1.43/1.68 % Time elapsed: 0.600 s 1.43/1.68 % ------------------------------ 1.43/1.68 % ------------------------------ 1.43/1.68 % remaining time: 2985 next slice time: 9 1.43/1.68 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 % (61939)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]: 34413 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 3.60/3.83 % (61940)Time limit reached! 3.60/3.83 % ------------------------------ 3.60/3.83 % Version: Vampire 4.1 for CASC J8 Entry 3.60/3.83 % Termination reason: Time limit 3.60/3.83 % Termination phase: Saturation 3.60/3.83 3.60/3.83 % Memory used [KB]: 14456 3.60/3.83 % Time elapsed: 1.100 s 3.60/3.83 % ------------------------------ 3.60/3.83 % ------------------------------ 3.60/3.83 % remaining time: 2964 next slice time: 40 3.60/3.84 lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark 7.69/7.93 % (61942)Time limit reached! 7.69/7.93 % ------------------------------ 7.69/7.93 % Version: Vampire 4.1 for CASC J8 Entry 7.69/7.93 % Termination reason: Time limit 7.69/7.93 % Termination phase: Saturation 7.69/7.93 7.69/7.93 % Memory used [KB]: 77909 7.69/7.93 % Time elapsed: 4.100 s 7.69/7.93 % ------------------------------ 7.69/7.93 % ------------------------------ 7.69/7.94 % remaining time: 2923 next slice time: 10 7.69/7.94 lrs+1010_2:1_bd=off:cond=on:er=filter:gs=on:gsem=on:inw=on:irw=on:lma=on:nm=0:nwc=1.3:sas=z3:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=2.0:smm=off:ssnc=none:sp=reverse_arity:updr=off_8 on theBenchmark 8.81/9.04 % (61943)Time limit reached! 8.81/9.04 % ------------------------------ 8.81/9.04 % Version: Vampire 4.1 for CASC J8 Entry 8.81/9.04 % Termination reason: Time limit 8.81/9.04 % Termination phase: Saturation 8.81/9.04 8.81/9.04 % Memory used [KB]: 17910 8.81/9.04 % Time elapsed: 1.100 s 8.81/9.04 % ------------------------------ 8.81/9.04 % ------------------------------ 8.81/9.04 % remaining time: 2912 next slice time: 162 8.81/9.05 dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark 25.19/25.35 % (61944)Time limit reached! 25.19/25.35 % ------------------------------ 25.19/25.35 % Version: Vampire 4.1 for CASC J8 Entry 25.19/25.35 % Termination reason: Time limit 25.19/25.35 % Termination phase: Saturation 25.19/25.35 25.19/25.35 % Memory used [KB]: 460035 25.19/25.35 % Time elapsed: 16.300 s 25.19/25.35 % ------------------------------ 25.19/25.35 % ------------------------------ 25.19/25.37 % remaining time: 2748 next slice time: 6 25.19/25.37 lrs-11_3_bd=off:cond=on:gs=on:gsem=off:irw=on:inst=on:nm=4:nwc=3:sas=z3:stl=30:sdd=off:sfr=on:ssfp=100000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 25.89/26.07 % (61945)Time limit reached! 25.89/26.07 % ------------------------------ 25.89/26.07 % Version: Vampire 4.1 for CASC J8 Entry 25.89/26.07 % Termination reason: Time limit 25.89/26.07 % Termination phase: Saturation 25.89/26.07 25.89/26.07 % Memory used [KB]: 5373 25.89/26.07 % Time elapsed: 0.700 s 25.89/26.07 % ------------------------------ 25.89/26.07 % ------------------------------ 25.89/26.07 % remaining time: 2741 next slice time: 6 25.89/26.08 dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 26.58/26.77 % (61946)Time limit reached! 26.58/26.77 % ------------------------------ 26.58/26.77 % Version: Vampire 4.1 for CASC J8 Entry 26.58/26.77 % Termination reason: Time limit 26.58/26.77 % Termination phase: Saturation 26.58/26.77 26.58/26.77 % Memory used [KB]: 14583 26.58/26.77 % Time elapsed: 0.700 s 26.58/26.77 % ------------------------------ 26.58/26.77 % ------------------------------ 26.58/26.78 % remaining time: 2734 next slice time: 11 26.58/26.78 ott+1010_3:1_bs=unit_only:ccuc=small_ones:fsr=off:irw=on:nm=0:newcnf=on:nwc=1.1:nicw=on:sos=on:ssac=none:sscc=model:sdd=off:ssfp=10000:ssfq=1.4:ssnc=none:sp=reverse_arity:tha=off_10 on theBenchmark 27.78/27.98 % (61947)Time limit reached! 27.78/27.98 % ------------------------------ 27.78/27.98 % Version: Vampire 4.1 for CASC J8 Entry 27.78/27.98 % Termination reason: Time limit 27.78/27.98 % Termination phase: Saturation 27.78/27.98 27.78/27.98 % Memory used [KB]: 33389 27.78/27.98 % Time elapsed: 1.200 s 27.78/27.98 % ------------------------------ 27.78/27.98 % ------------------------------ 27.78/27.98 % remaining time: 2722 next slice time: 6 27.78/27.98 lrs+11_8:1_gs=on:inst=on:lcm=reverse:lma=on:nm=64:nwc=2:sas=z3:stl=30:sdd=off:sfr=on:ssfp=40000:ssfq=2.0:smm=sco:ssnc=none:sp=occurrence:updr=off_4 on theBenchmark 28.51/28.68 % (61948)Time limit reached! 28.51/28.68 % ------------------------------ 28.51/28.68 % Version: Vampire 4.1 for CASC J8 Entry 28.51/28.68 % Termination reason: Time limit 28.51/28.68 % Termination phase: Saturation 28.51/28.68 28.51/28.68 % Memory used [KB]: 3837 28.51/28.68 % Time elapsed: 0.700 s 28.51/28.68 % ------------------------------ 28.51/28.68 % ------------------------------ 28.51/28.68 % remaining time: 2715 next slice time: 6 28.51/28.69 dis+11_3:1_inw=on:inst=on:nm=64:nwc=1:sas=z3:sos=all:ssfp=40000:ssfq=1.1:smm=sco:ssnc=none:sp=reverse_arity:updr=off_4 on theBenchmark 29.19/29.38 % (62057)Time limit reached! 29.19/29.38 % ------------------------------ 29.19/29.38 % Version: Vampire 4.1 for CASC J8 Entry 29.19/29.38 % Termination reason: Time limit 29.19/29.38 % Termination phase: Saturation 29.19/29.38 29.19/29.38 % Memory used [KB]: 8187 29.19/29.38 % Time elapsed: 0.700 s 29.19/29.38 % ------------------------------ 29.19/29.38 % ------------------------------ 29.28/29.39 % remaining time: 2708 next slice time: 3 29.28/29.39 dis+10_24_lma=on:nm=64:nwc=1:sas=z3:sac=on:sdd=large:smm=off:ssnc=none:sp=occurrence_1 on theBenchmark 29.59/29.79 % (62058)Time limit reached! 29.59/29.79 % ------------------------------ 29.59/29.79 % Version: Vampire 4.1 for CASC J8 Entry 29.59/29.79 % Termination reason: Time limit 29.59/29.79 % Termination phase: Saturation 29.59/29.79 29.59/29.79 % Memory used [KB]: 6524 29.59/29.79 % Time elapsed: 0.400 s 29.59/29.79 % ------------------------------ 29.59/29.79 % ------------------------------ 29.59/29.79 % remaining time: 2704 next slice time: 11 29.59/29.79 lrs+1002_5_gs=on:gsem=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sfr=on:ssfp=10000:ssfq=1.1:smm=off:ssnc=none:tha=off:updr=off_10 on theBenchmark 29.71/29.91 % Refutation found. Thanks to Tanya! 29.71/29.91 % SZS status Theorem for theBenchmark 29.71/29.91 % SZS output start Proof for theBenchmark 29.71/29.91 tff(type_def_6, type, uni: $tType). 29.71/29.91 tff(type_def_7, type, ty: $tType). 29.71/29.91 tff(type_def_8, type, bool: $tType). 29.71/29.91 tff(type_def_9, type, tuple0: $tType). 29.71/29.91 tff(type_def_10, type, map_int_int: $tType). 29.71/29.91 tff(type_def_11, type, array_int: $tType). 29.71/29.91 tff(type_def_12, type, lparray_intcm_intrp: $tType). 29.71/29.91 tff(func_def_0, type, witness: ty > uni). 29.71/29.91 tff(func_def_1, type, int: ty). 29.71/29.91 tff(func_def_2, type, real: ty). 29.71/29.91 tff(func_def_3, type, bool1: ty). 29.71/29.91 tff(func_def_4, type, true: bool). 29.71/29.91 tff(func_def_5, type, false: bool). 29.71/29.91 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 29.71/29.91 tff(func_def_7, type, tuple01: ty). 29.71/29.91 tff(func_def_8, type, tuple02: tuple0). 29.71/29.91 tff(func_def_9, type, qtmark: ty). 29.71/29.91 tff(func_def_10, type, map: (ty * ty) > ty). 29.71/29.91 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 29.71/29.91 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 29.71/29.91 tff(func_def_13, type, const: (ty * ty * uni) > uni). 29.71/29.91 tff(func_def_14, type, array: ty > ty). 29.71/29.91 tff(func_def_15, type, mk_array: (ty * $int * uni) > uni). 29.71/29.91 tff(func_def_16, type, length: (ty * uni) > $int). 29.71/29.91 tff(func_def_17, type, elts: (ty * uni) > uni). 29.71/29.91 tff(func_def_18, type, get1: (ty * uni * $int) > uni). 29.71/29.91 tff(func_def_19, type, t2tb: $int > uni). 29.71/29.91 tff(func_def_20, type, tb2t: uni > $int). 29.71/29.91 tff(func_def_21, type, set1: (ty * uni * $int * uni) > uni). 29.71/29.91 tff(func_def_22, type, make: (ty * $int * uni) > uni). 29.71/29.91 tff(func_def_23, type, t2tb1: map_int_int > uni). 29.71/29.91 tff(func_def_24, type, tb2t1: uni > map_int_int). 29.71/29.91 tff(func_def_25, type, t2tb2: array_int > uni). 29.71/29.91 tff(func_def_26, type, tb2t2: uni > array_int). 29.71/29.91 tff(func_def_27, type, k: $int). 29.71/29.91 tff(func_def_28, type, tuple2: (ty * ty) > ty). 29.71/29.91 tff(func_def_29, type, tuple21: (ty * ty * uni * uni) > uni). 29.71/29.91 tff(func_def_30, type, tuple2_proj_1: (ty * ty * uni) > uni). 29.71/29.91 tff(func_def_31, type, tuple2_proj_2: (ty * ty * uni) > uni). 29.71/29.91 tff(func_def_32, type, t2tb3: lparray_intcm_intrp > uni). 29.71/29.91 tff(func_def_33, type, tb2t3: uni > lparray_intcm_intrp). 29.71/29.91 tff(func_def_34, type, num_of: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_35, type, numeq: (array_int * $int * $int * $int) > $int). 29.71/29.91 tff(func_def_36, type, num_of1: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_37, type, numlt: (array_int * $int * $int * $int) > $int). 29.71/29.91 tff(func_def_38, type, ref: ty > ty). 29.71/29.91 tff(func_def_39, type, mk_ref: (ty * uni) > uni). 29.71/29.91 tff(func_def_40, type, contents: (ty * uni) > uni). 29.71/29.91 tff(func_def_47, type, sK0: $int). 29.71/29.91 tff(func_def_48, type, sK1: map_int_int). 29.71/29.91 tff(func_def_49, type, sK2: $int). 29.71/29.91 tff(func_def_50, type, sK3: map_int_int). 29.71/29.91 tff(func_def_51, type, sK4: $int). 29.71/29.91 tff(func_def_52, type, sK5: map_int_int). 29.71/29.91 tff(func_def_53, type, sK6: $int). 29.71/29.91 tff(func_def_54, type, sK7: $int). 29.71/29.91 tff(func_def_55, type, sK8: map_int_int). 29.71/29.91 tff(func_def_56, type, sK9: $int). 29.71/29.91 tff(func_def_57, type, sK10: map_int_int). 29.71/29.91 tff(func_def_58, type, sK11: $int). 29.71/29.91 tff(func_def_59, type, sK12: $int). 29.71/29.91 tff(func_def_60, type, sK13: array_int > $int). 29.71/29.91 tff(func_def_61, type, sK14: (array_int * array_int) > $int). 29.71/29.91 tff(func_def_62, type, sK15: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_63, type, sK16: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_64, type, sK17: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_65, type, sK18: (lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_66, type, sK19: (map_int_int * $int * $int) > $int). 29.71/29.91 tff(func_def_67, type, sK20: (map_int_int * $int * $int) > $int). 29.71/29.91 tff(func_def_68, type, sK21: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_69, type, sK22: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_70, type, sK23: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(func_def_71, type, sK24: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 29.71/29.91 tff(pred_def_1, type, sort: (ty * uni) > $o). 29.71/29.91 tff(pred_def_2, type, sorted_sub: (map_int_int * $int * $int) > $o). 29.71/29.91 tff(pred_def_3, type, sorted_sub1: (array_int * $int * $int) > $o). 29.71/29.91 tff(pred_def_4, type, sorted: array_int > $o). 29.71/29.91 tff(pred_def_5, type, k_values: array_int > $o). 29.71/29.91 tff(pred_def_6, type, eq: (lparray_intcm_intrp * $int) > $o). 29.71/29.91 tff(pred_def_7, type, lt: (lparray_intcm_intrp * $int) > $o). 29.71/29.91 tff(pred_def_8, type, permut: (array_int * array_int) > $o). 29.71/29.91 tff(f3,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X5 : $int,X6 : $int,X7 : $int] : (($lesseq(X5,X6) & $lesseq(X6,X7)) => $lesseq(num_of1(X4,X5,X6),num_of1(X4,X5,X7)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_increasing1)). 29.71/29.91 tff(f4,axiom,( 29.71/29.91 ! [X8 : lparray_intcm_intrp,X9 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (! [X6 : $int] : (($lesseq(X0,X6) & $less(X6,X10)) => (eq(X8,X6) => eq(X9,X6))) => $lesseq(num_of(X8,X0,X10),num_of(X9,X0,X10)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_change_any)). 29.71/29.91 tff(f5,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~eq(X4,X0) => num_of(X4,X0,X10) = num_of(X4,$sum(X0,1),X10)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_left_no_add)). 29.71/29.91 tff(f10,axiom,( 29.71/29.91 ! [X6 : uni] : t2tb1(tb2t1(X6)) = X6), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 29.71/29.91 tff(f13,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => ($lesseq(num_of1(X4,X0,X10),$difference(X10,X0)) & $lesseq(0,num_of1(X4,X0,X10))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_bounds1)). 29.71/29.91 tff(f14,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (eq(X4,X0) => num_of(X4,X0,X10) = $sum(1,num_of(X4,$sum(X0,1),X10))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_left_add)). 29.71/29.91 tff(f24,axiom,( 29.71/29.91 ! [X0 : ty,X10 : ty,X16 : uni,X1 : uni,X17 : uni,X18 : uni] : (sort(X10,X18) => (X1 = X17 => get(X10,X0,set(X10,X0,X16,X1,X18),X17) = X18))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 29.71/29.91 tff(f25,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~lt(X4,$difference(X10,1)) => num_of1(X4,X0,X10) = num_of1(X4,X0,$difference(X10,1))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_right_no_add1)). 29.71/29.91 tff(f33,axiom,( 29.71/29.91 ! [X5 : $int] : tb2t(t2tb(X5)) = X5), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 29.71/29.91 tff(f34,axiom,( 29.71/29.91 ! [X0 : array_int,X21 : $int,X5 : $int,X6 : $int] : num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X21))),X5,X6) = numeq(X0,X21,X5,X6)), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numeq_def)). 29.71/29.91 tff(f36,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X5 : $int,X6 : $int,X7 : $int] : (($lesseq(X6,X7) & $lesseq(X5,X6)) => $lesseq(num_of(X4,X5,X6),num_of(X4,X5,X7)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_increasing)). 29.71/29.91 tff(f43,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($lesseq(X0,X10) => (! [X14 : $int] : (($lesseq(X0,X14) & $less(X14,X10)) => lt(X4,X14)) => num_of1(X4,X0,X10) = $difference(X10,X0)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full1)). 29.71/29.91 tff(f46,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($lesseq(X10,X0) => num_of1(X4,X0,X10) = 0)), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_empty1)). 29.71/29.91 tff(f51,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($lesseq(X10,X0) => num_of(X4,X0,X10) = 0)), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_empty)). 29.71/29.91 tff(f57,axiom,( 29.71/29.91 ! [X11 : $int] : sort(int,t2tb(X11))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 29.71/29.91 tff(f58,axiom,( 29.71/29.91 ! [X0 : ty,X10 : ty,X16 : uni,X1 : uni,X17 : uni] : (sort(X0,X1) => (sort(X0,X17) => ! [X18 : uni] : (X1 != X17 => get(X10,X0,X16,X17) = get(X10,X0,set(X10,X0,X16,X1,X18),X17))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq)). 29.71/29.91 tff(f59,conjecture,( 29.71/29.91 ! [X0 : $int,X1 : map_int_int,X10 : $int,X18 : map_int_int] : (($lesseq(0,X0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X10 & $lesseq(0,X10)) => ($lesseq(0,k) => ($lesseq(0,k) => ($lesseq(0,$difference(X0,1)) => ! [X15 : map_int_int] : (! [X21 : $int] : (($lesseq(0,X21) & $less(X21,k)) => tb2t(get(int,int,t2tb1(X15),t2tb(X21))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,$sum($difference(X0,1),1))) => ($lesseq(0,$difference(k,1)) => ! [X6 : $int,X25 : map_int_int,X21 : $int] : (($lesseq(0,X21) & $lesseq(X21,$difference(k,1))) => ((sorted_sub(X25,0,X6) & ! [X27 : $int] : (($lesseq(0,X27) & $less(X27,X6)) => ($less(tb2t(get(int,int,t2tb1(X25),t2tb(X27))),X21) & $lesseq(0,tb2t(get(int,int,t2tb1(X25),t2tb(X27)))))) & ! [X26 : $int] : (($lesseq(0,X26) & $less(X26,X21)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X25)),t2tb(X26))),0,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = X6) => (($less(X21,k) & $lesseq(0,X21) & $lesseq(0,k)) => ($lesseq(1,tb2t(get(int,int,t2tb1(X15),t2tb(X21)))) => ! [X28 : $int,X29 : map_int_int,X5 : $int] : (($lesseq(X5,tb2t(get(int,int,t2tb1(X15),t2tb(X21)))) & $lesseq(1,X5)) => ((num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = $sum($difference(X28,X5),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X21))),0,X28) = $difference(X5,1) & ! [X26 : $int] : (($less(X26,X21) & $lesseq(0,X26)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X26))),0,X28)) & ! [X27 : $int] : (($less(X27,X28) & $lesseq(0,X27)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X29),t2tb(X27)))) & $lesseq(tb2t(get(int,int,t2tb1(X29),t2tb(X27))),X21))) & sorted_sub(X29,0,X28)) => (($less(X28,X10) & $lesseq(0,X28) & $lesseq(0,X10)) => ! [X30 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X29),t2tb(X28),t2tb(X21))) = X30 & $lesseq(0,X10)) => ! [X31 : $int] : ($sum(X28,1) = X31 => ! [X27 : $int] : (($less(X27,X31) & $lesseq(0,X27)) => ($lesseq(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),X21) & $lesseq(0,tb2t(get(int,int,t2tb1(X30),t2tb(X27)))))))))))))))))))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_counting_sort)). 29.71/29.91 tff(f60,negated_conjecture,( 29.71/29.91 ~! [X0 : $int,X1 : map_int_int,X10 : $int,X18 : map_int_int] : (($lesseq(0,X0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X10 & $lesseq(0,X10)) => ($lesseq(0,k) => ($lesseq(0,k) => ($lesseq(0,$difference(X0,1)) => ! [X15 : map_int_int] : (! [X21 : $int] : (($lesseq(0,X21) & $less(X21,k)) => tb2t(get(int,int,t2tb1(X15),t2tb(X21))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,$sum($difference(X0,1),1))) => ($lesseq(0,$difference(k,1)) => ! [X6 : $int,X25 : map_int_int,X21 : $int] : (($lesseq(0,X21) & $lesseq(X21,$difference(k,1))) => ((sorted_sub(X25,0,X6) & ! [X27 : $int] : (($lesseq(0,X27) & $less(X27,X6)) => ($less(tb2t(get(int,int,t2tb1(X25),t2tb(X27))),X21) & $lesseq(0,tb2t(get(int,int,t2tb1(X25),t2tb(X27)))))) & ! [X26 : $int] : (($lesseq(0,X26) & $less(X26,X21)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X25)),t2tb(X26))),0,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = X6) => (($less(X21,k) & $lesseq(0,X21) & $lesseq(0,k)) => ($lesseq(1,tb2t(get(int,int,t2tb1(X15),t2tb(X21)))) => ! [X28 : $int,X29 : map_int_int,X5 : $int] : (($lesseq(X5,tb2t(get(int,int,t2tb1(X15),t2tb(X21)))) & $lesseq(1,X5)) => ((num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = $sum($difference(X28,X5),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X21))),0,X28) = $difference(X5,1) & ! [X26 : $int] : (($less(X26,X21) & $lesseq(0,X26)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X26))),0,X28)) & ! [X27 : $int] : (($less(X27,X28) & $lesseq(0,X27)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X29),t2tb(X27)))) & $lesseq(tb2t(get(int,int,t2tb1(X29),t2tb(X27))),X21))) & sorted_sub(X29,0,X28)) => (($less(X28,X10) & $lesseq(0,X28) & $lesseq(0,X10)) => ! [X30 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X29),t2tb(X28),t2tb(X21))) = X30 & $lesseq(0,X10)) => ! [X31 : $int] : ($sum(X28,1) = X31 => ! [X27 : $int] : (($less(X27,X31) & $lesseq(0,X27)) => ($lesseq(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),X21) & $lesseq(0,tb2t(get(int,int,t2tb1(X30),t2tb(X27)))))))))))))))))))))), 29.71/29.91 inference(negated_conjecture,[],[f59])). 29.71/29.91 tff(f64,axiom,( 29.71/29.91 ! [X0 : array_int,X21 : $int,X5 : $int,X6 : $int] : num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X21))),X5,X6) = numlt(X0,X21,X5,X6)), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numlt_def)). 29.71/29.91 tff(f71,axiom,( 29.71/29.91 ! [X8 : lparray_intcm_intrp,X9 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (! [X6 : $int] : (($less(X6,X10) & $lesseq(X0,X6)) => (lt(X8,X6) => lt(X9,X6))) => $lesseq(num_of1(X8,X0,X10),num_of1(X9,X0,X10)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_change_any1)). 29.71/29.91 tff(f74,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~lt(X4,X0) => num_of1(X4,X0,X10) = num_of1(X4,$sum(X0,1),X10)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_left_no_add1)). 29.71/29.91 tff(f77,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => ($lesseq(0,num_of(X4,X0,X10)) & $lesseq(num_of(X4,X0,X10),$difference(X10,X0))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_bounds)). 29.71/29.91 tff(f78,axiom,( 29.71/29.91 ! [X0 : array_int] : (k_values(X0) => ! [X21 : $int] : (($less(X21,k) & $lesseq(0,X21)) => ! [X22 : $int,X2 : $int] : (($lesseq(0,X22) & $lesseq(X2,length(int,t2tb2(X0))) & $less(X22,X2)) => numlt(X0,$sum(X21,1),X22,X2) = $sum(numlt(X0,X21,X22,X2),numeq(X0,X21,X22,X2)))))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqlt)). 29.71/29.91 tff(f80,axiom,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($lesseq(X0,X10) => (! [X14 : $int] : (($less(X14,X10) & $lesseq(X0,X14)) => eq(X4,X14)) => num_of(X4,X0,X10) = $difference(X10,X0)))), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full)). 29.71/29.91 tff(f81,axiom,( 29.71/29.91 ! [X6 : uni] : t2tb(tb2t(X6)) = X6), 29.71/29.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 29.71/29.91 tff(f88,plain,( 29.71/29.91 ~! [X0 : $int,X1 : map_int_int,X10 : $int,X18] : ((~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X10 & ~$less(X10,0)) => (~$less(k,0) => (~$less(k,0) => (~$less($sum(X0,$uminus(1)),0) => ! [X15 : map_int_int] : (! [X21 : $int] : ((~$less(X21,0) & $less(X21,k)) => tb2t(get(int,int,t2tb1(X15),t2tb(X21))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,$sum($sum(X0,$uminus(1)),1))) => (~$less($sum(k,$uminus(1)),0) => ! [X6 : $int,X25 : map_int_int,X21 : $int] : ((~$less(X21,0) & ~$less($sum(k,$uminus(1)),X21)) => ((sorted_sub(X25,0,X6) & ! [X27 : $int] : ((~$less(X27,0) & $less(X27,X6)) => ($less(tb2t(get(int,int,t2tb1(X25),t2tb(X27))),X21) & ~$less(tb2t(get(int,int,t2tb1(X25),t2tb(X27))),0))) & ! [X26 : $int] : ((~$less(X26,0) & $less(X26,X21)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X25)),t2tb(X26))),0,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = X6) => (($less(X21,k) & ~$less(X21,0) & ~$less(k,0)) => (~$less(tb2t(get(int,int,t2tb1(X15),t2tb(X21))),1) => ! [X28 : $int,X29 : map_int_int,X5 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X15),t2tb(X21))),X5) & ~$less(X5,1)) => ((num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X21))),0,X0) = $sum($sum(X28,$uminus(X5)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X21))),0,X28) = $sum(X5,$uminus(1)) & ! [X26 : $int] : (($less(X26,X21) & ~$less(X26,0)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X26))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X10,t2tb1(X29)),t2tb(X26))),0,X28)) & ! [X27 : $int] : (($less(X27,X28) & ~$less(X27,0)) => (~$less(tb2t(get(int,int,t2tb1(X29),t2tb(X27))),0) & ~$less(X21,tb2t(get(int,int,t2tb1(X29),t2tb(X27)))))) & sorted_sub(X29,0,X28)) => (($less(X28,X10) & ~$less(X28,0) & ~$less(X10,0)) => ! [X30 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X29),t2tb(X28),t2tb(X21))) = X30 & ~$less(X10,0)) => ! [X31 : $int] : ($sum(X28,1) = X31 => ! [X27 : $int] : (($less(X27,X31) & ~$less(X27,0)) => (~$less(X21,tb2t(get(int,int,t2tb1(X30),t2tb(X27)))) & ~$less(tb2t(get(int,int,t2tb1(X30),t2tb(X27))),0))))))))))))))))))), 29.71/29.91 inference(evaluation,[],[f60])). 29.71/29.91 tff(f89,plain,( 29.71/29.91 ! [X0 : array_int] : (k_values(X0) => ! [X21 : $int] : (($less(X21,k) & ~$less(X21,0)) => ! [X22 : $int,X2 : $int] : ((~$less(X22,0) & ~$less(length(int,t2tb2(X0)),X2) & $less(X22,X2)) => numlt(X0,$sum(X21,1),X22,X2) = $sum(numlt(X0,X21,X22,X2),numeq(X0,X21,X22,X2)))))), 29.71/29.91 inference(evaluation,[],[f78])). 29.71/29.91 tff(f92,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~$less($sum(X10,$uminus(X0)),num_of1(X4,X0,X10)) & ~$less(num_of1(X4,X0,X10),0)))), 29.71/29.91 inference(evaluation,[],[f13])). 29.71/29.91 tff(f93,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~$less(num_of(X4,X0,X10),0) & ~$less($sum(X10,$uminus(X0)),num_of(X4,X0,X10))))), 29.71/29.91 inference(evaluation,[],[f77])). 29.71/29.91 tff(f95,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : ($less(X0,X10) => (~lt(X4,$sum(X10,$uminus(1))) => num_of1(X4,X0,X10) = num_of1(X4,X0,$sum(X10,$uminus(1)))))), 29.71/29.91 inference(evaluation,[],[f25])). 29.71/29.91 tff(f98,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (~$less(X0,X10) => num_of(X4,X0,X10) = 0)), 29.71/29.91 inference(evaluation,[],[f51])). 29.71/29.91 tff(f99,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (~$less(X0,X10) => num_of1(X4,X0,X10) = 0)), 29.71/29.91 inference(evaluation,[],[f46])). 29.71/29.91 tff(f101,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (~$less(X10,X0) => (! [X14 : $int] : ((~$less(X14,X0) & $less(X14,X10)) => lt(X4,X14)) => num_of1(X4,X0,X10) = $sum(X10,$uminus(X0))))), 29.71/29.91 inference(evaluation,[],[f43])). 29.71/29.91 tff(f102,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (~$less(X10,X0) => (! [X14 : $int] : (($less(X14,X10) & ~$less(X14,X0)) => eq(X4,X14)) => num_of(X4,X0,X10) = $sum(X10,$uminus(X0))))), 29.71/29.91 inference(evaluation,[],[f80])). 29.71/29.91 tff(f106,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X5 : $int,X6 : $int,X7 : $int] : ((~$less(X7,X6) & ~$less(X6,X5)) => ~$less(num_of(X4,X5,X7),num_of(X4,X5,X6)))), 29.71/29.91 inference(evaluation,[],[f36])). 29.71/29.91 tff(f107,plain,( 29.71/29.91 ! [X4 : lparray_intcm_intrp,X5 : $int,X6 : $int,X7 : $int] : ((~$less(X6,X5) & ~$less(X7,X6)) => ~$less(num_of1(X4,X5,X7),num_of1(X4,X5,X6)))), 29.71/29.91 inference(evaluation,[],[f3])). 29.71/29.91 tff(f110,plain,( 29.71/29.91 ! [X8 : lparray_intcm_intrp,X9 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (! [X6 : $int] : ((~$less(X6,X0) & $less(X6,X10)) => (eq(X8,X6) => eq(X9,X6))) => ~$less(num_of(X9,X0,X10),num_of(X8,X0,X10)))), 29.71/29.91 inference(evaluation,[],[f4])). 29.71/29.91 tff(f111,plain,( 29.71/29.91 ! [X8 : lparray_intcm_intrp,X9 : lparray_intcm_intrp,X0 : $int,X10 : $int] : (! [X6 : $int] : (($less(X6,X10) & ~$less(X6,X0)) => (lt(X8,X6) => lt(X9,X6))) => ~$less(num_of1(X9,X0,X10),num_of1(X8,X0,X10)))), 29.71/29.91 inference(evaluation,[],[f71])). 29.71/29.91 tff(f116,plain,( 29.71/29.91 ~! [X0 : $int,X1 : map_int_int,X2 : $int] : ((~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)) => (~$less(k,0) => (~$less(k,0) => (~$less($sum(X0,$uminus(1)),0) => ! [X4 : map_int_int] : (! [X5 : $int] : ((~$less(X5,0) & $less(X5,k)) => tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1))) => (~$less($sum(k,$uminus(1)),0) => ! [X6 : $int,X7 : map_int_int,X8 : $int] : ((~$less(X8,0) & ~$less($sum(k,$uminus(1)),X8)) => ((sorted_sub(X7,0,X6) & ! [X9 : $int] : ((~$less(X9,0) & $less(X9,X6)) => ($less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),X8) & ~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),0))) & ! [X10 : $int] : ((~$less(X10,0) & $less(X10,X8)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X10))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X10))),0,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6) => (($less(X8,k) & ~$less(X8,0) & ~$less(k,0)) => (~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1) => ! [X11 : $int,X12 : map_int_int,X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1)) => ((num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & ! [X14 : $int] : (($less(X14,X8) & ~$less(X14,0)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X14))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X14))),0,X11)) & ! [X15 : $int] : (($less(X15,X11) & ~$less(X15,0)) => (~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15)))))) & sorted_sub(X12,0,X11)) => (($less(X11,X2) & ~$less(X11,0) & ~$less(X2,0)) => ! [X16 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0)) => ! [X17 : $int] : ($sum(X11,1) = X17 => ! [X18 : $int] : (($less(X18,X17) & ~$less(X18,0)) => (~$less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) & ~$less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0))))))))))))))))))), 29.71/29.91 inference(rectify,[],[f88])). 29.71/29.91 tff(f118,plain,( 29.71/29.91 ! [X0 : $int] : sort(int,t2tb(X0))), 29.71/29.91 inference(rectify,[],[f57])). 29.71/29.91 tff(f122,plain,( 29.71/29.91 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 29.71/29.91 inference(rectify,[],[f10])). 29.71/29.91 tff(f123,plain,( 29.71/29.91 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 29.71/29.91 inference(rectify,[],[f81])). 29.71/29.91 tff(f126,plain,( 29.71/29.91 ! [X0 : $int] : tb2t(t2tb(X0)) = X0), 29.71/29.91 inference(rectify,[],[f33])). 29.71/29.91 tff(f131,plain,( 29.71/29.91 ! [X0 : array_int] : (k_values(X0) => ! [X1 : $int] : (($less(X1,k) & ~$less(X1,0)) => ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & ~$less(length(int,t2tb2(X0)),X3) & $less(X2,X3)) => numlt(X0,$sum(X1,1),X2,X3) = $sum(numlt(X0,X1,X2,X3),numeq(X0,X1,X2,X3)))))), 29.71/29.91 inference(rectify,[],[f89])). 29.71/29.91 tff(f149,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)))), 29.71/29.91 inference(rectify,[],[f92])). 29.71/29.91 tff(f150,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less(num_of(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))))), 29.71/29.91 inference(rectify,[],[f93])). 29.71/29.91 tff(f151,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~eq(X0,X1) => num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2)))), 29.71/29.91 inference(rectify,[],[f5])). 29.71/29.91 tff(f152,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~lt(X0,X1) => num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2)))), 29.71/29.91 inference(rectify,[],[f74])). 29.71/29.91 tff(f154,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (eq(X0,X1) => num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2))))), 29.71/29.91 inference(rectify,[],[f14])). 29.71/29.91 tff(f156,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~lt(X0,$sum(X2,$uminus(1))) => num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1)))))), 29.71/29.91 inference(rectify,[],[f95])). 29.71/29.91 tff(f161,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => num_of(X0,X1,X2) = 0)), 29.71/29.91 inference(rectify,[],[f98])). 29.71/29.91 tff(f162,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => num_of1(X0,X1,X2) = 0)), 29.71/29.91 inference(rectify,[],[f99])). 29.71/29.91 tff(f164,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X2,X1) => (! [X3 : $int] : ((~$less(X3,X1) & $less(X3,X2)) => lt(X0,X3)) => num_of1(X0,X1,X2) = $sum(X2,$uminus(X1))))), 29.71/29.91 inference(rectify,[],[f101])). 29.71/29.91 tff(f165,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X2,X1) => (! [X3 : $int] : (($less(X3,X2) & ~$less(X3,X1)) => eq(X0,X3)) => num_of(X0,X1,X2) = $sum(X2,$uminus(X1))))), 29.71/29.91 inference(rectify,[],[f102])). 29.71/29.91 tff(f177,plain,( 29.71/29.91 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3) = numlt(X0,X1,X2,X3)), 29.71/29.91 inference(rectify,[],[f64])). 29.71/29.91 tff(f178,plain,( 29.71/29.91 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3) = numeq(X0,X1,X2,X3)), 29.71/29.91 inference(rectify,[],[f34])). 29.71/29.91 tff(f181,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,X2) & ~$less(X2,X1)) => ~$less(num_of(X0,X1,X3),num_of(X0,X1,X2)))), 29.71/29.91 inference(rectify,[],[f106])). 29.71/29.91 tff(f182,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => ~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)))), 29.71/29.91 inference(rectify,[],[f107])). 29.71/29.91 tff(f185,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (! [X4 : $int] : ((~$less(X4,X2) & $less(X4,X3)) => (eq(X0,X4) => eq(X1,X4))) => ~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)))), 29.71/29.91 inference(rectify,[],[f110])). 29.71/29.91 tff(f186,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,X2)) => (lt(X0,X4) => lt(X1,X4))) => ~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)))), 29.71/29.91 inference(rectify,[],[f111])). 29.71/29.91 tff(f188,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort(X0,X3) => (sort(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4))))), 29.71/29.91 inference(rectify,[],[f58])). 29.71/29.91 tff(f193,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort(X1,X5) => (X3 = X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5))), 29.71/29.91 inference(rectify,[],[f24])). 29.71/29.91 tff(f194,plain,( 29.71/29.91 ? [X0 : $int,X1 : map_int_int,X2 : $int] : ((((? [X4 : map_int_int] : ((? [X6 : $int,X7 : map_int_int,X8 : $int] : ((((? [X11 : $int,X12 : map_int_int,X13 : $int] : (((? [X16 : map_int_int] : (? [X17 : $int] : (? [X18 : $int] : (($less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) | $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)) & ($less(X18,X17) & ~$less(X18,0))) & $sum(X11,1) = X17) & (tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0))) & ($less(X11,X2) & ~$less(X11,0) & ~$less(X2,0))) & (num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X14))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X14))),0,X11) | (~$less(X14,X8) | $less(X14,0))) & ! [X15 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15))))) | (~$less(X15,X11) | $less(X15,0))) & sorted_sub(X12,0,X11))) & (~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1))) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1)) & ($less(X8,k) & ~$less(X8,0) & ~$less(k,0))) & (sorted_sub(X7,0,X6) & ! [X9 : $int] : (($less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),X8) & ~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),0)) | ($less(X9,0) | ~$less(X9,X6))) & ! [X10 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X10))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X10))),0,X6) | ($less(X10,0) | ~$less(X10,X8))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6)) & (~$less(X8,0) & ~$less($sum(k,$uminus(1)),X8))) & ~$less($sum(k,$uminus(1)),0)) & ! [X5 : $int] : (tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1)) | ($less(X5,0) | ~$less(X5,k)))) & ~$less($sum(X0,$uminus(1)),0)) & ~$less(k,0)) & ~$less(k,0)) & (~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)))), 29.71/29.91 inference(ennf_transformation,[],[f116])). 29.71/29.91 tff(f195,plain,( 29.71/29.91 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X4 : map_int_int] : (? [X6 : $int,X7 : map_int_int,X8 : $int] : (? [X11 : $int,X12 : map_int_int,X13 : $int] : (? [X16 : map_int_int] : (? [X17 : $int] : (? [X18 : $int] : (($less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) | $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)) & $less(X18,X17) & ~$less(X18,0)) & $sum(X11,1) = X17) & tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0)) & $less(X11,X2) & ~$less(X11,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X14))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X14))),0,X11) | ~$less(X14,X8) | $less(X14,0)) & ! [X15 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X15))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X15))))) | ~$less(X15,X11) | $less(X15,0)) & sorted_sub(X12,0,X11) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1)) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1) & $less(X8,k) & ~$less(X8,0) & ~$less(k,0) & sorted_sub(X7,0,X6) & ! [X9 : $int] : (($less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),X8) & ~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X9))),0)) | $less(X9,0) | ~$less(X9,X6)) & ! [X10 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X10))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X10))),0,X6) | $less(X10,0) | ~$less(X10,X8)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6 & ~$less(X8,0) & ~$less($sum(k,$uminus(1)),X8)) & ~$less($sum(k,$uminus(1)),0) & ! [X5 : $int] : (tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1)) | $less(X5,0) | ~$less(X5,k))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0))), 29.71/29.91 inference(flattening,[],[f194])). 29.71/29.91 tff(f196,plain,( 29.71/29.91 ! [X0 : array_int] : (! [X1 : $int] : (! [X2 : $int,X3 : $int] : (numlt(X0,$sum(X1,1),X2,X3) = $sum(numlt(X0,X1,X2,X3),numeq(X0,X1,X2,X3)) | ($less(X2,0) | $less(length(int,t2tb2(X0)),X3) | ~$less(X2,X3))) | (~$less(X1,k) | $less(X1,0))) | ~k_values(X0))), 29.71/29.91 inference(ennf_transformation,[],[f131])). 29.71/29.91 tff(f197,plain,( 29.71/29.91 ! [X0 : array_int] : (! [X1 : $int] : (! [X2 : $int,X3 : $int] : (numlt(X0,$sum(X1,1),X2,X3) = $sum(numlt(X0,X1,X2,X3),numeq(X0,X1,X2,X3)) | $less(X2,0) | $less(length(int,t2tb2(X0)),X3) | ~$less(X2,X3)) | ~$less(X1,k) | $less(X1,0)) | ~k_values(X0))), 29.71/29.91 inference(flattening,[],[f196])). 29.71/29.91 tff(f204,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f149])). 29.71/29.91 tff(f205,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((~$less(num_of(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f150])). 29.71/29.91 tff(f206,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1)) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f151])). 29.71/29.91 tff(f207,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1) | ~$less(X1,X2))), 29.71/29.91 inference(flattening,[],[f206])). 29.71/29.91 tff(f208,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1)) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f152])). 29.71/29.91 tff(f209,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1) | ~$less(X1,X2))), 29.71/29.91 inference(flattening,[],[f208])). 29.71/29.91 tff(f212,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) | ~eq(X0,X1)) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f154])). 29.71/29.91 tff(f213,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) | ~eq(X0,X1) | ~$less(X1,X2))), 29.71/29.91 inference(flattening,[],[f212])). 29.71/29.91 tff(f216,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f156])). 29.71/29.91 tff(f217,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2))), 29.71/29.91 inference(flattening,[],[f216])). 29.71/29.91 tff(f224,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = 0 | $less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f161])). 29.71/29.91 tff(f225,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = 0 | $less(X1,X2))), 29.71/29.91 inference(ennf_transformation,[],[f162])). 29.71/29.91 tff(f228,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~lt(X0,X3) & (~$less(X3,X1) & $less(X3,X2)))) | $less(X2,X1))), 29.71/29.91 inference(ennf_transformation,[],[f164])). 29.71/29.91 tff(f229,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~lt(X0,X3) & ~$less(X3,X1) & $less(X3,X2)) | $less(X2,X1))), 29.71/29.91 inference(flattening,[],[f228])). 29.71/29.91 tff(f230,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~eq(X0,X3) & ($less(X3,X2) & ~$less(X3,X1)))) | $less(X2,X1))), 29.71/29.91 inference(ennf_transformation,[],[f165])). 29.71/29.91 tff(f231,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~eq(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) | $less(X2,X1))), 29.71/29.91 inference(flattening,[],[f230])). 29.71/29.91 tff(f243,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of(X0,X1,X3),num_of(X0,X1,X2)) | ($less(X3,X2) | $less(X2,X1)))), 29.71/29.91 inference(ennf_transformation,[],[f181])). 29.71/29.91 tff(f244,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of(X0,X1,X3),num_of(X0,X1,X2)) | $less(X3,X2) | $less(X2,X1))), 29.71/29.91 inference(flattening,[],[f243])). 29.71/29.91 tff(f245,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | ($less(X2,X1) | $less(X3,X2)))), 29.71/29.91 inference(ennf_transformation,[],[f182])). 29.71/29.91 tff(f246,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2))), 29.71/29.91 inference(flattening,[],[f245])). 29.71/29.91 tff(f251,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)) | ? [X4 : $int] : ((~eq(X1,X4) & eq(X0,X4)) & (~$less(X4,X2) & $less(X4,X3))))), 29.71/29.91 inference(ennf_transformation,[],[f185])). 29.71/29.91 tff(f252,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)) | ? [X4 : $int] : (~eq(X1,X4) & eq(X0,X4) & ~$less(X4,X2) & $less(X4,X3)))), 29.71/29.91 inference(flattening,[],[f251])). 29.71/29.91 tff(f253,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)) | ? [X4 : $int] : ((~lt(X1,X4) & lt(X0,X4)) & ($less(X4,X3) & ~$less(X4,X2))))), 29.71/29.91 inference(ennf_transformation,[],[f186])). 29.71/29.91 tff(f254,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)) | ? [X4 : $int] : (~lt(X1,X4) & lt(X0,X4) & $less(X4,X3) & ~$less(X4,X2)))), 29.71/29.91 inference(flattening,[],[f253])). 29.71/29.91 tff(f255,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort(X0,X4)) | ~sort(X0,X3))), 29.71/29.91 inference(ennf_transformation,[],[f188])). 29.71/29.91 tff(f256,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort(X0,X4) | ~sort(X0,X3))), 29.71/29.91 inference(flattening,[],[f255])). 29.71/29.91 tff(f265,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort(X1,X5))), 29.71/29.91 inference(ennf_transformation,[],[f193])). 29.71/29.91 tff(f266,plain,( 29.71/29.91 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5))), 29.71/29.91 inference(flattening,[],[f265])). 29.71/29.91 tff(f267,plain,( 29.71/29.91 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0))), 29.71/29.91 inference(rectify,[],[f195])). 29.71/29.91 tff(f268,plain,( 29.71/29.91 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)) => (? [X3 : map_int_int] : (? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(sK2,0)) & $less(X7,sK2) & ~$less(X7,0) & ~$less(sK2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X13))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X16))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k))) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(sK0,0) & k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1)))) & sK0 = sK2 & ~$less(sK2,0))), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f269,plain,( 29.71/29.91 ( ! [X2:$int,X0:$int,X1:map_int_int] : (? [X3 : map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k))) => (? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(sK3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k)))) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f270,plain,( 29.71/29.91 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & $less(X6,k) & ~$less(X6,0) & ~$less(k,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),X6) & ~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,X4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X16))),0,X4) | $less(X16,0) | ~$less(X16,X6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less(X6,0) & ~$less($sum(k,$uminus(1)),X6)) => (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(sK6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(sK6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(sK6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,sK6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(sK6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(sK6))),1) & $less(sK6,k) & ~$less(sK6,0) & ~$less(k,0) & sorted_sub(sK5,0,sK4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(sK5),t2tb(X15))),sK6) & ~$less(tb2t(get(int,int,t2tb1(sK5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,sK4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(sK5)),t2tb(X16))),0,sK4) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X16))),0,X0) | $less(X16,0) | ~$less(X16,sK6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(sK6))),0,X0) = sK4 & ~$less(sK6,0) & ~$less($sum(k,$uminus(1)),sK6))) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f271,plain,( 29.71/29.91 ( ! [X6:$int,X2:$int,X0:$int,X3:map_int_int,X1:map_int_int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(X7,X2) & ~$less(X7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X13))),0,X7) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X14))))) | ~$less(X14,X7) | $less(X14,0)) & sorted_sub(X8,0,X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) => (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(sK7,1) = X11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(X6))) = X10 & ~$less(X2,0)) & $less(sK7,X2) & ~$less(sK7,0) & ~$less(X2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(sK7,$uminus(sK9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(sK8)),t2tb(X6))),0,sK7) = $sum(sK9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(sK8)),t2tb(X13))),0,sK7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X13))),0,X0) | ~$less(X13,X6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X14))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(sK8),t2tb(X14))))) | ~$less(X14,sK7) | $less(X14,0)) & sorted_sub(sK8,0,sK7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),sK9) & ~$less(sK9,1))) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f272,plain,( 29.71/29.91 ( ! [X6:$int,X2:$int,X8:map_int_int,X7:$int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) => (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(sK10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = sK10 & ~$less(X2,0))) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f273,plain,( 29.71/29.91 ( ! [X6:$int,X10:map_int_int,X7:$int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) & $sum(X7,1) = X11) => (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,sK11) & ~$less(X12,0)) & $sum(X7,1) = sK11)) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f274,plain,( 29.71/29.91 ( ! [X6:$int,X10:map_int_int,X11:$int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & $less(X12,X11) & ~$less(X12,0)) => (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(sK12))),0)) & $less(sK12,X11) & ~$less(sK12,0))) )), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f275,plain,( 29.71/29.91 ((((((($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)) & $less(sK12,sK11) & ~$less(sK12,0)) & $sum(sK7,1) = sK11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10 & ~$less(sK2,0)) & $less(sK7,sK2) & ~$less(sK7,0) & ~$less(sK2,0) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = $sum($sum(sK7,$uminus(sK9)),1) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,$uminus(1)) & ! [X13 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X13))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X13))),0,sK7) | ~$less(X13,sK6) | $less(X13,0)) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X14))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X14))))) | ~$less(X14,sK7) | $less(X14,0)) & sorted_sub(sK8,0,sK7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9) & ~$less(sK9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1) & $less(sK6,k) & ~$less(sK6,0) & ~$less(k,0) & sorted_sub(sK5,0,sK4) & ! [X15 : $int] : (($less(tb2t(get(int,int,t2tb1(sK5),t2tb(X15))),sK6) & ~$less(tb2t(get(int,int,t2tb1(sK5),t2tb(X15))),0)) | $less(X15,0) | ~$less(X15,sK4)) & ! [X16 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X16))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X16))),0,sK4) | $less(X16,0) | ~$less(X16,sK6)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = sK4 & ~$less(sK6,0) & ~$less($sum(k,$uminus(1)),sK6)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(sK3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) | $less(X17,0) | ~$less(X17,k))) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(sK0,0) & k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1)))) & sK0 = sK2 & ~$less(sK2,0)), 29.71/29.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f267,f274,f273,f272,f271,f270,f269,f268])). 29.71/29.91 tff(f286,plain,( 29.71/29.91 ! [X2 : $int,X1 : $int,X0 : lparray_intcm_intrp] : (? [X3 : $int] : (~lt(X0,X3) & ~$less(X3,X1) & $less(X3,X2)) => (~lt(X0,sK15(X0,X1,X2)) & ~$less(sK15(X0,X1,X2),X1) & $less(sK15(X0,X1,X2),X2)))), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f287,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | (~lt(X0,sK15(X0,X1,X2)) & ~$less(sK15(X0,X1,X2),X1) & $less(sK15(X0,X1,X2),X2)) | $less(X2,X1))), 29.71/29.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f229,f286])). 29.71/29.91 tff(f288,plain,( 29.71/29.91 ! [X2 : $int,X1 : $int,X0 : lparray_intcm_intrp] : (? [X3 : $int] : (~eq(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) => (~eq(X0,sK16(X0,X1,X2)) & $less(sK16(X0,X1,X2),X2) & ~$less(sK16(X0,X1,X2),X1)))), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f289,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | (~eq(X0,sK16(X0,X1,X2)) & $less(sK16(X0,X1,X2),X2) & ~$less(sK16(X0,X1,X2),X1)) | $less(X2,X1))), 29.71/29.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f231,f288])). 29.71/29.91 tff(f301,plain,( 29.71/29.91 ! [X3 : $int,X2 : $int,X1 : lparray_intcm_intrp,X0 : lparray_intcm_intrp] : (? [X4 : $int] : (~eq(X1,X4) & eq(X0,X4) & ~$less(X4,X2) & $less(X4,X3)) => (~eq(X1,sK21(X0,X1,X2,X3)) & eq(X0,sK21(X0,X1,X2,X3)) & ~$less(sK21(X0,X1,X2,X3),X2) & $less(sK21(X0,X1,X2,X3),X3)))), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f302,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)) | (~eq(X1,sK21(X0,X1,X2,X3)) & eq(X0,sK21(X0,X1,X2,X3)) & ~$less(sK21(X0,X1,X2,X3),X2) & $less(sK21(X0,X1,X2,X3),X3)))), 29.71/29.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f252,f301])). 29.71/29.91 tff(f303,plain,( 29.71/29.91 ! [X3 : $int,X2 : $int,X1 : lparray_intcm_intrp,X0 : lparray_intcm_intrp] : (? [X4 : $int] : (~lt(X1,X4) & lt(X0,X4) & $less(X4,X3) & ~$less(X4,X2)) => (~lt(X1,sK22(X0,X1,X2,X3)) & lt(X0,sK22(X0,X1,X2,X3)) & $less(sK22(X0,X1,X2,X3),X3) & ~$less(sK22(X0,X1,X2,X3),X2)))), 29.71/29.91 introduced(choice_axiom,[])). 29.71/29.91 tff(f304,plain,( 29.71/29.91 ! [X0 : lparray_intcm_intrp,X1 : lparray_intcm_intrp,X2 : $int,X3 : $int] : (~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)) | (~lt(X1,sK22(X0,X1,X2,X3)) & lt(X0,sK22(X0,X1,X2,X3)) & $less(sK22(X0,X1,X2,X3),X3) & ~$less(sK22(X0,X1,X2,X3),X2)))), 29.71/29.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f254,f303])). 29.71/29.91 tff(f310,plain,( 29.71/29.91 ~$less(sK2,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f311,plain,( 29.71/29.91 sK0 = sK2), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f312,plain,( 29.71/29.91 k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1))))), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f313,plain,( 29.71/29.91 ~$less(sK0,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f314,plain,( 29.71/29.91 ~$less(k,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f315,plain,( 29.71/29.91 ~$less(k,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f316,plain,( 29.71/29.91 ~$less($sum(sK0,$uminus(1)),0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f318,plain,( 29.71/29.91 ~$less($sum(k,$uminus(1)),0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f319,plain,( 29.71/29.91 ~$less($sum(k,$uminus(1)),sK6)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f320,plain,( 29.71/29.91 ~$less(sK6,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f321,plain,( 29.71/29.91 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = sK4), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f322,plain,( 29.71/29.91 ( ! [X16:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X16))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X16))),0,sK4) | $less(X16,0) | ~$less(X16,sK6)) )), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f325,plain,( 29.71/29.91 sorted_sub(sK5,0,sK4)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f326,plain,( 29.71/29.91 ~$less(k,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f327,plain,( 29.71/29.91 ~$less(sK6,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f328,plain,( 29.71/29.91 $less(sK6,k)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f329,plain,( 29.71/29.91 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f330,plain,( 29.71/29.91 ~$less(sK9,1)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f331,plain,( 29.71/29.91 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f332,plain,( 29.71/29.91 sorted_sub(sK8,0,sK7)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f333,plain,( 29.71/29.91 ( ! [X14:$int] : (~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X14)))) | ~$less(X14,sK7) | $less(X14,0)) )), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f334,plain,( 29.71/29.91 ( ! [X14:$int] : (~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X14))),0) | ~$less(X14,sK7) | $less(X14,0)) )), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f335,plain,( 29.71/29.91 ( ! [X13:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X13))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X13))),0,sK7) | ~$less(X13,sK6) | $less(X13,0)) )), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f336,plain,( 29.71/29.91 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,$uminus(1))), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f337,plain,( 29.71/29.91 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = $sum($sum(sK7,$uminus(sK9)),1)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f338,plain,( 29.71/29.91 ~$less(sK2,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f339,plain,( 29.71/29.91 ~$less(sK7,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f340,plain,( 29.71/29.91 $less(sK7,sK2)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f341,plain,( 29.71/29.91 ~$less(sK2,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f342,plain,( 29.71/29.91 tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f343,plain,( 29.71/29.91 $sum(sK7,1) = sK11), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f344,plain,( 29.71/29.91 ~$less(sK12,0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f345,plain,( 29.71/29.91 $less(sK12,sK11)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f346,plain,( 29.71/29.91 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)), 29.71/29.91 inference(cnf_transformation,[],[f275])). 29.71/29.91 tff(f351,plain,( 29.71/29.91 ( ! [X0:$int] : (sort(int,t2tb(X0))) )), 29.71/29.91 inference(cnf_transformation,[],[f118])). 29.71/29.91 tff(f355,plain,( 29.71/29.91 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 29.71/29.91 inference(cnf_transformation,[],[f122])). 29.71/29.91 tff(f356,plain,( 29.71/29.91 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 29.71/29.91 inference(cnf_transformation,[],[f123])). 29.71/29.91 tff(f359,plain,( 29.71/29.91 ( ! [X0:$int] : (tb2t(t2tb(X0)) = X0) )), 29.71/29.91 inference(cnf_transformation,[],[f126])). 29.71/29.91 tff(f364,plain,( 29.71/29.91 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (numlt(X0,$sum(X1,1),X2,X3) = $sum(numlt(X0,X1,X2,X3),numeq(X0,X1,X2,X3)) | $less(X2,0) | $less(length(int,t2tb2(X0)),X3) | ~$less(X2,X3) | ~$less(X1,k) | $less(X1,0) | ~k_values(X0)) )), 29.71/29.91 inference(cnf_transformation,[],[f197])). 29.71/29.91 tff(f392,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (~$less(num_of1(X0,X1,X2),0) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f204])). 29.71/29.91 tff(f393,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f204])). 29.71/29.91 tff(f394,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2)) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f205])). 29.71/29.91 tff(f396,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f207])). 29.71/29.91 tff(f397,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f209])). 29.71/29.91 tff(f399,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = $sum(1,num_of(X0,$sum(X1,1),X2)) | ~eq(X0,X1) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f213])). 29.71/29.91 tff(f401,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f217])). 29.71/29.91 tff(f406,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = 0 | $less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f224])). 29.71/29.91 tff(f407,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = 0 | $less(X1,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f225])). 29.71/29.91 tff(f409,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | $less(sK15(X0,X1,X2),X2) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f287])). 29.71/29.91 tff(f410,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~$less(sK15(X0,X1,X2),X1) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f287])). 29.71/29.91 tff(f411,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~lt(X0,sK15(X0,X1,X2)) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f287])). 29.71/29.91 tff(f412,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~$less(sK16(X0,X1,X2),X1) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f289])). 29.71/29.91 tff(f413,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | $less(sK16(X0,X1,X2),X2) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f289])). 29.71/29.91 tff(f414,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~eq(X0,sK16(X0,X1,X2)) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f289])). 29.71/29.91 tff(f438,plain,( 29.71/29.91 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3) = numlt(X0,X1,X2,X3)) )), 29.71/29.91 inference(cnf_transformation,[],[f177])). 29.71/29.91 tff(f439,plain,( 29.71/29.91 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3) = numeq(X0,X1,X2,X3)) )), 29.71/29.91 inference(cnf_transformation,[],[f178])). 29.71/29.91 tff(f444,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:$int] : (~$less(num_of(X0,X1,X3),num_of(X0,X1,X2)) | $less(X3,X2) | $less(X2,X1)) )), 29.71/29.91 inference(cnf_transformation,[],[f244])). 29.71/29.91 tff(f445,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:$int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f246])). 29.71/29.91 tff(f448,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:lparray_intcm_intrp] : (~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)) | $less(sK21(X0,X1,X2,X3),X3)) )), 29.71/29.91 inference(cnf_transformation,[],[f302])). 29.71/29.91 tff(f449,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:lparray_intcm_intrp] : (~$less(num_of(X1,X2,X3),num_of(X0,X2,X3)) | ~$less(sK21(X0,X1,X2,X3),X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f302])). 29.71/29.91 tff(f452,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:lparray_intcm_intrp] : (~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)) | ~$less(sK22(X0,X1,X2,X3),X2)) )), 29.71/29.91 inference(cnf_transformation,[],[f304])). 29.71/29.91 tff(f453,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X3:$int,X1:lparray_intcm_intrp] : (~$less(num_of1(X1,X2,X3),num_of1(X0,X2,X3)) | $less(sK22(X0,X1,X2,X3),X3)) )), 29.71/29.91 inference(cnf_transformation,[],[f304])). 29.71/29.91 tff(f457,plain,( 29.71/29.91 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4 | ~sort(X0,X4) | ~sort(X0,X3)) )), 29.71/29.91 inference(cnf_transformation,[],[f256])). 29.71/29.91 tff(f468,plain,( 29.71/29.91 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5)) )), 29.71/29.91 inference(cnf_transformation,[],[f266])). 29.71/29.91 tff(f469,plain,( 29.71/29.91 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK7,$uminus(sK9)),1)), 29.71/29.91 inference(definition_unfolding,[],[f337,f311,f311])). 29.71/29.91 tff(f470,plain,( 29.71/29.91 ( ! [X13:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X13))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X13))),0,sK7) | ~$less(X13,sK6) | $less(X13,0)) )), 29.71/29.91 inference(definition_unfolding,[],[f335,f311,f311])). 29.71/29.91 tff(f471,plain,( 29.71/29.91 ( ! [X16:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X16))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X16))),0,sK4) | $less(X16,0) | ~$less(X16,sK6)) )), 29.71/29.91 inference(definition_unfolding,[],[f322,f311,f311])). 29.71/29.91 tff(f472,plain,( 29.71/29.91 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK4), 29.71/29.91 inference(definition_unfolding,[],[f321,f311,f311])). 29.71/29.91 tff(f474,plain,( 29.71/29.91 ~$less($sum(sK2,$uminus(1)),0)), 29.71/29.91 inference(definition_unfolding,[],[f316,f311])). 29.71/29.91 tff(f475,plain,( 29.71/29.91 ~$less(sK2,0)), 29.71/29.91 inference(definition_unfolding,[],[f313,f311])). 29.71/29.91 tff(f476,plain,( 29.71/29.91 k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))), 29.71/29.91 inference(definition_unfolding,[],[f312,f311])). 29.71/29.91 tff(f477,plain,( 29.71/29.91 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),X2,X3) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),X2,X3)) | $less(X2,0) | $less(length(int,t2tb2(X0)),X3) | ~$less(X2,X3) | ~$less(X1,k) | $less(X1,0) | ~k_values(X0)) )), 29.71/29.91 inference(definition_unfolding,[],[f364,f438,f438,f439])). 29.71/29.91 tff(f491,plain,( 29.71/29.91 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X1:ty] : (get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 | ~sort(X1,X5)) )), 29.71/29.91 inference(equality_resolution,[],[f468])). 29.71/29.91 tff(f493,plain,( 29.71/29.91 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,-1)) | lt(X0,$sum(X2,-1)) | ~$less(X1,X2)) )), 29.71/29.91 inference(evaluation,[],[f401])). 29.71/29.91 tff(f496,plain,( 29.71/29.91 ~$less(sK2,$uminus(-1))), 29.71/29.91 inference(evaluation,[],[f474])). 29.71/29.91 tff(f497,plain,( 29.71/29.91 ~$less(sK2,1)), 29.71/29.91 inference(evaluation,[],[f496])). 29.71/29.91 tff(f499,plain,( 29.71/29.91 ~$less(k,$uminus(-1))), 29.71/29.91 inference(evaluation,[],[f318])). 29.71/29.91 tff(f500,plain,( 29.71/29.91 ~$less(k,1)), 29.71/29.91 inference(evaluation,[],[f499])). 29.71/29.91 tff(f501,plain,( 29.71/29.91 ~$less($sum(k,-1),sK6)), 29.71/29.91 inference(evaluation,[],[f319])). 29.71/29.91 tff(f502,plain,( 29.71/29.91 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1)), 29.71/29.91 inference(evaluation,[],[f336])). 29.71/29.91 tff(f507,plain,( 29.71/29.91 spl25_0 <=> $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_0])])). 29.71/29.91 tff(f508,plain,( 29.71/29.91 $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0) | ~spl25_0), 29.71/29.91 inference(AVATAR_component_clause,[],[f507])). 29.71/29.91 tff(f510,plain,( 29.71/29.91 spl25_3 <=> ~$less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))))), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_3])])). 29.71/29.91 tff(f511,plain,( 29.71/29.91 ~$less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | ~spl25_3), 29.71/29.91 inference(AVATAR_component_clause,[],[f510])). 29.71/29.91 tff(f513,plain,( 29.71/29.91 spl25_2 <=> $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))))), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_2])])). 29.71/29.91 tff(f514,plain,( 29.71/29.91 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | ~spl25_2), 29.71/29.91 inference(AVATAR_component_clause,[],[f513])). 29.71/29.91 tff(f515,plain,( 29.71/29.91 spl25_0 | spl25_2), 29.71/29.91 inference(AVATAR_split_clause,[],[f346,f513,f507])). 29.71/29.91 tff(f520,plain,( 29.71/29.91 spl25_4 <=> $less(sK12,sK11)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_4])])). 29.71/29.91 tff(f522,plain,( 29.71/29.91 spl25_4), 29.71/29.91 inference(AVATAR_split_clause,[],[f345,f520])). 29.71/29.91 tff(f527,plain,( 29.71/29.91 spl25_7 <=> ~$less(sK12,0)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_7])])). 29.71/29.91 tff(f528,plain,( 29.71/29.91 ~$less(sK12,0) | ~spl25_7), 29.71/29.91 inference(AVATAR_component_clause,[],[f527])). 29.71/29.91 tff(f529,plain,( 29.71/29.91 ~spl25_7), 29.71/29.91 inference(AVATAR_split_clause,[],[f344,f527])). 29.71/29.91 tff(f534,plain,( 29.71/29.91 spl25_8 <=> $sum(sK7,1) = sK11), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_8])])). 29.71/29.91 tff(f535,plain,( 29.71/29.91 $sum(sK7,1) = sK11 | ~spl25_8), 29.71/29.91 inference(AVATAR_component_clause,[],[f534])). 29.71/29.91 tff(f536,plain,( 29.71/29.91 spl25_8), 29.71/29.91 inference(AVATAR_split_clause,[],[f343,f534])). 29.71/29.91 tff(f541,plain,( 29.71/29.91 spl25_10 <=> tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_10])])). 29.71/29.91 tff(f542,plain,( 29.71/29.91 tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10 | ~spl25_10), 29.71/29.91 inference(AVATAR_component_clause,[],[f541])). 29.71/29.91 tff(f543,plain,( 29.71/29.91 spl25_10), 29.71/29.91 inference(AVATAR_split_clause,[],[f342,f541])). 29.71/29.91 tff(f548,plain,( 29.71/29.91 spl25_13 <=> ~$less(sK2,0)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_13])])). 29.71/29.91 tff(f549,plain,( 29.71/29.91 ~$less(sK2,0) | ~spl25_13), 29.71/29.91 inference(AVATAR_component_clause,[],[f548])). 29.71/29.91 tff(f550,plain,( 29.71/29.91 ~spl25_13), 29.71/29.91 inference(AVATAR_split_clause,[],[f341,f548])). 29.71/29.91 tff(f555,plain,( 29.71/29.91 spl25_14 <=> $less(sK7,sK2)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_14])])). 29.71/29.91 tff(f557,plain,( 29.71/29.91 spl25_14), 29.71/29.91 inference(AVATAR_split_clause,[],[f340,f555])). 29.71/29.91 tff(f562,plain,( 29.71/29.91 spl25_17 <=> ~$less(sK7,0)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_17])])). 29.71/29.91 tff(f563,plain,( 29.71/29.91 ~$less(sK7,0) | ~spl25_17), 29.71/29.91 inference(AVATAR_component_clause,[],[f562])). 29.71/29.91 tff(f564,plain,( 29.71/29.91 ~spl25_17), 29.71/29.91 inference(AVATAR_split_clause,[],[f339,f562])). 29.71/29.91 tff(f565,plain,( 29.71/29.91 ~spl25_13), 29.71/29.91 inference(AVATAR_split_clause,[],[f338,f548])). 29.71/29.91 tff(f570,plain,( 29.71/29.91 spl25_18 <=> num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK7,$uminus(sK9)),1)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_18])])). 29.71/29.91 tff(f571,plain,( 29.71/29.91 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(sK7,$uminus(sK9)),1) | ~spl25_18), 29.71/29.91 inference(AVATAR_component_clause,[],[f570])). 29.71/29.91 tff(f572,plain,( 29.71/29.91 spl25_18), 29.71/29.91 inference(AVATAR_split_clause,[],[f469,f570])). 29.71/29.91 tff(f577,plain,( 29.71/29.91 spl25_20 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_20])])). 29.71/29.91 tff(f578,plain,( 29.71/29.91 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1) | ~spl25_20), 29.71/29.91 inference(AVATAR_component_clause,[],[f577])). 29.71/29.91 tff(f579,plain,( 29.71/29.91 spl25_20), 29.71/29.91 inference(AVATAR_split_clause,[],[f502,f577])). 29.71/29.91 tff(f584,plain,( 29.71/29.91 spl25_22 <=> sorted_sub(sK8,0,sK7)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_22])])). 29.71/29.91 tff(f586,plain,( 29.71/29.91 spl25_22), 29.71/29.91 inference(AVATAR_split_clause,[],[f332,f584])). 29.71/29.91 tff(f591,plain,( 29.71/29.91 spl25_25 <=> ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_25])])). 29.71/29.91 tff(f593,plain,( 29.71/29.91 ~spl25_25), 29.71/29.91 inference(AVATAR_split_clause,[],[f331,f591])). 29.71/29.91 tff(f598,plain,( 29.71/29.91 spl25_27 <=> ~$less(sK9,1)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_27])])). 29.71/29.91 tff(f600,plain,( 29.71/29.91 ~spl25_27), 29.71/29.91 inference(AVATAR_split_clause,[],[f330,f598])). 29.71/29.91 tff(f605,plain,( 29.71/29.91 spl25_29 <=> ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1)), 29.71/29.91 introduced(AVATAR_definition,[new_symbols(naming,[spl25_29])])). 29.71/29.92 tff(f607,plain,( 29.71/29.92 ~spl25_29), 29.71/29.92 inference(AVATAR_split_clause,[],[f329,f605])). 29.71/29.92 tff(f612,plain,( 29.71/29.92 spl25_30 <=> $less(sK6,k)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_30])])). 29.71/29.92 tff(f614,plain,( 29.71/29.92 spl25_30), 29.71/29.92 inference(AVATAR_split_clause,[],[f328,f612])). 29.71/29.92 tff(f619,plain,( 29.71/29.92 spl25_33 <=> ~$less(sK6,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_33])])). 29.71/29.92 tff(f620,plain,( 29.71/29.92 ~$less(sK6,0) | ~spl25_33), 29.71/29.92 inference(AVATAR_component_clause,[],[f619])). 29.71/29.92 tff(f621,plain,( 29.71/29.92 ~spl25_33), 29.71/29.92 inference(AVATAR_split_clause,[],[f327,f619])). 29.71/29.92 tff(f626,plain,( 29.71/29.92 spl25_35 <=> ~$less(k,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_35])])). 29.71/29.92 tff(f628,plain,( 29.71/29.92 ~spl25_35), 29.71/29.92 inference(AVATAR_split_clause,[],[f326,f626])). 29.71/29.92 tff(f633,plain,( 29.71/29.92 spl25_36 <=> sorted_sub(sK5,0,sK4)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_36])])). 29.71/29.92 tff(f634,plain,( 29.71/29.92 sorted_sub(sK5,0,sK4) | ~spl25_36), 29.71/29.92 inference(AVATAR_component_clause,[],[f633])). 29.71/29.92 tff(f635,plain,( 29.71/29.92 spl25_36), 29.71/29.92 inference(AVATAR_split_clause,[],[f325,f633])). 29.71/29.92 tff(f640,plain,( 29.71/29.92 spl25_38 <=> num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK4), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_38])])). 29.71/29.92 tff(f641,plain,( 29.71/29.92 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = sK4 | ~spl25_38), 29.71/29.92 inference(AVATAR_component_clause,[],[f640])). 29.71/29.92 tff(f642,plain,( 29.71/29.92 spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f472,f640])). 29.71/29.92 tff(f643,plain,( 29.71/29.92 ~spl25_33), 29.71/29.92 inference(AVATAR_split_clause,[],[f320,f619])). 29.71/29.92 tff(f648,plain,( 29.71/29.92 spl25_41 <=> ~$less($sum(k,-1),sK6)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_41])])). 29.71/29.92 tff(f650,plain,( 29.71/29.92 ~spl25_41), 29.71/29.92 inference(AVATAR_split_clause,[],[f501,f648])). 29.71/29.92 tff(f655,plain,( 29.71/29.92 spl25_43 <=> ~$less(k,1)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_43])])). 29.71/29.92 tff(f657,plain,( 29.71/29.92 ~spl25_43), 29.71/29.92 inference(AVATAR_split_clause,[],[f500,f655])). 29.71/29.92 tff(f662,plain,( 29.71/29.92 spl25_45 <=> ~$less(sK2,1)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_45])])). 29.71/29.92 tff(f664,plain,( 29.71/29.92 ~spl25_45), 29.71/29.92 inference(AVATAR_split_clause,[],[f497,f662])). 29.71/29.92 tff(f665,plain,( 29.71/29.92 ~spl25_35), 29.71/29.92 inference(AVATAR_split_clause,[],[f315,f626])). 29.71/29.92 tff(f666,plain,( 29.71/29.92 ~spl25_35), 29.71/29.92 inference(AVATAR_split_clause,[],[f314,f626])). 29.71/29.92 tff(f667,plain,( 29.71/29.92 ~spl25_13), 29.71/29.92 inference(AVATAR_split_clause,[],[f475,f548])). 29.71/29.92 tff(f672,plain,( 29.71/29.92 spl25_46 <=> k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_46])])). 29.71/29.92 tff(f674,plain,( 29.71/29.92 spl25_46), 29.71/29.92 inference(AVATAR_split_clause,[],[f476,f672])). 29.71/29.92 tff(f675,plain,( 29.71/29.92 ~spl25_13), 29.71/29.92 inference(AVATAR_split_clause,[],[f310,f548])). 29.71/29.92 tff(f676,plain,( 29.71/29.92 $sum($sum(sK7,$uminus(sK9)),1) = sK4 | (~spl25_18 | ~spl25_38)), 29.71/29.92 inference(forward_demodulation,[],[f571,f641])). 29.71/29.92 tff(f681,plain,( 29.71/29.92 spl25_48 <=> $sum($sum(sK7,$uminus(sK9)),1) = sK4), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_48])])). 29.71/29.92 tff(f682,plain,( 29.71/29.92 $sum($sum(sK7,$uminus(sK9)),1) = sK4 | ~spl25_48), 29.71/29.92 inference(AVATAR_component_clause,[],[f681])). 29.71/29.92 tff(f683,plain,( 29.71/29.92 spl25_48 | ~spl25_18 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f676,f640,f570,f681])). 29.71/29.92 tff(f684,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:$int] : (num_of(X0,sK7,X1) = $sum(1,num_of(X0,sK11,X1)) | ~eq(X0,sK7) | ~$less(sK7,X1)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f399,f535])). 29.71/29.92 tff(f686,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp,X5:$int] : (num_of1(X4,sK7,X5) = num_of1(X4,sK11,X5) | lt(X4,sK7) | ~$less(sK7,X5)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f397,f535])). 29.71/29.92 tff(f687,plain,( 29.71/29.92 ( ! [X6:lparray_intcm_intrp,X7:$int] : (num_of(X6,sK7,X7) = num_of(X6,sK11,X7) | eq(X6,sK7) | ~$less(sK7,X7)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f396,f535])). 29.71/29.92 tff(f690,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp,X5:$int] : (num_of1(X4,sK4,X5) = num_of1(X4,$sum(sK7,$uminus(sK9)),X5) | lt(X4,$sum(sK7,$uminus(sK9))) | ~$less($sum(sK7,$uminus(sK9)),X5)) ) | ~spl25_48), 29.71/29.92 inference(superposition,[],[f397,f682])). 29.71/29.92 tff(f692,plain,( 29.71/29.92 set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10) | ~spl25_10), 29.71/29.92 inference(superposition,[],[f355,f542])). 29.71/29.92 tff(f697,plain,( 29.71/29.92 spl25_50 <=> set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_50])])). 29.71/29.92 tff(f698,plain,( 29.71/29.92 set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10) | ~spl25_50), 29.71/29.92 inference(AVATAR_component_clause,[],[f697])). 29.71/29.92 tff(f699,plain,( 29.71/29.92 spl25_50 | ~spl25_10), 29.71/29.92 inference(AVATAR_split_clause,[],[f692,f541,f697])). 29.71/29.92 tff(f701,plain,( 29.71/29.92 get(int,int,t2tb1(sK10),t2tb(sK7)) = t2tb(sK6) | ~sort(int,t2tb(sK6)) | ~spl25_50), 29.71/29.92 inference(superposition,[],[f491,f698])). 29.71/29.92 tff(f702,plain,( 29.71/29.92 ( ! [X0:uni] : (get(int,int,t2tb1(sK8),X0) = get(int,int,t2tb1(sK10),X0) | t2tb(sK7) = X0 | ~sort(int,X0) | ~sort(int,t2tb(sK7))) ) | ~spl25_50), 29.71/29.92 inference(superposition,[],[f457,f698])). 29.71/29.92 tff(f704,plain,( 29.71/29.92 get(int,int,t2tb1(sK10),t2tb(sK7)) = t2tb(sK6) | ~spl25_50), 29.71/29.92 inference(subsumption_resolution,[],[f701,f351])). 29.71/29.92 tff(f709,plain,( 29.71/29.92 spl25_52 <=> get(int,int,t2tb1(sK10),t2tb(sK7)) = t2tb(sK6)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_52])])). 29.71/29.92 tff(f710,plain,( 29.71/29.92 get(int,int,t2tb1(sK10),t2tb(sK7)) = t2tb(sK6) | ~spl25_52), 29.71/29.92 inference(AVATAR_component_clause,[],[f709])). 29.71/29.92 tff(f711,plain,( 29.71/29.92 spl25_52 | ~spl25_50), 29.71/29.92 inference(AVATAR_split_clause,[],[f704,f697,f709])). 29.71/29.92 tff(f712,plain,( 29.71/29.92 ( ! [X0:uni] : (get(int,int,t2tb1(sK8),X0) = get(int,int,t2tb1(sK10),X0) | t2tb(sK7) = X0 | ~sort(int,X0)) ) | ~spl25_50), 29.71/29.92 inference(subsumption_resolution,[],[f702,f351])). 29.71/29.92 tff(f722,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of1(X10,sK7,X11) = 0 | lt(X10,sK7) | ~$less(sK7,X11) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f686,f407])). 29.71/29.92 tff(f723,plain,( 29.71/29.92 ( ! [X2:$int,X0:array_int,X1:$int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),sK11,X2) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK7,X2),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK11,X2)) | $less(sK11,0) | $less(length(int,t2tb2(X0)),X2) | ~$less(sK11,X2) | ~$less(X1,k) | $less(X1,0) | ~k_values(X0) | lt(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK7) | ~$less(sK7,X2)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f477,f686])). 29.71/29.92 tff(f754,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of1(X10,sK7,X11) = 0 | lt(X10,sK7) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(subsumption_resolution,[],[f722,f407])). 29.71/29.92 tff(f756,plain,( 29.71/29.92 spl25_55 <=> ~$less(sK11,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_55])])). 29.71/29.92 tff(f757,plain,( 29.71/29.92 ~$less(sK11,0) | ~spl25_55), 29.71/29.92 inference(AVATAR_component_clause,[],[f756])). 29.71/29.92 tff(f759,plain,( 29.71/29.92 spl25_54 <=> $less(sK11,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_54])])). 29.71/29.92 tff(f762,plain,( 29.71/29.92 spl25_56 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),sK11,X2) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK7,X2),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK11,X2)) | ~$less(sK7,X2) | lt(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK7) | ~k_values(X0) | $less(X1,0) | ~$less(X1,k) | ~$less(sK11,X2) | $less(length(int,t2tb2(X0)),X2))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_56])])). 29.71/29.92 tff(f764,plain,( 29.71/29.92 spl25_54 | spl25_56 | ~spl25_8), 29.71/29.92 inference(AVATAR_split_clause,[],[f723,f534,f762,f759])). 29.71/29.92 tff(f767,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:$int] : (num_of1(X2,sK7,X3) = 0 | lt(X2,sK7) | $less(sK11,$sum(X3,-1)) | lt(X2,$sum(X3,-1)) | ~$less(sK7,X3)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f754,f493])). 29.71/29.92 tff(f773,plain,( 29.71/29.92 ( ! [X6:$int,X5:lparray_intcm_intrp] : (~$less($sum(X6,$uminus(sK7)),0) | ~$less(sK7,X6) | lt(X5,sK7) | $less(sK11,X6)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f393,f754])). 29.71/29.92 tff(f778,plain,( 29.71/29.92 ( ! [X19:$int,X20:$int,X18:lparray_intcm_intrp] : (~$less(0,num_of1(X18,sK7,X20)) | $less(X20,sK7) | $less(X19,X20) | lt(X18,sK7) | $less(sK11,X19)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f445,f754])). 29.71/29.92 tff(f781,plain,( 29.71/29.92 ( ! [X28:$int,X29:lparray_intcm_intrp,X27:lparray_intcm_intrp] : (~$less(sK22(X27,X29,sK7,X28),sK7) | ~$less(num_of1(X29,sK7,X28),0) | lt(X27,sK7) | $less(sK11,X28)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f452,f754])). 29.71/29.92 tff(f782,plain,( 29.71/29.92 ( ! [X30:lparray_intcm_intrp,X31:$int,X32:lparray_intcm_intrp] : (~$less(sK22(X32,X30,sK7,X31),sK7) | ~$less(0,num_of1(X32,sK7,X31)) | lt(X30,sK7) | $less(sK11,X31)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f452,f754])). 29.71/29.92 tff(f783,plain,( 29.71/29.92 ( ! [X35:lparray_intcm_intrp,X33:lparray_intcm_intrp,X34:$int] : ($less(sK22(X33,X35,sK7,X34),X34) | ~$less(num_of1(X35,sK7,X34),0) | lt(X33,sK7) | $less(sK11,X34)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f453,f754])). 29.71/29.92 tff(f784,plain,( 29.71/29.92 ( ! [X37:$int,X38:lparray_intcm_intrp,X36:lparray_intcm_intrp] : ($less(sK22(X38,X36,sK7,X37),X37) | ~$less(0,num_of1(X38,sK7,X37)) | lt(X36,sK7) | $less(sK11,X37)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f453,f754])). 29.71/29.92 tff(f805,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:$int] : (num_of1(X2,sK7,X3) = 0 | lt(X2,sK7) | $less(sK11,$sum(X3,-1)) | lt(X2,$sum(X3,-1))) ) | ~spl25_8), 29.71/29.92 inference(subsumption_resolution,[],[f767,f407])). 29.71/29.92 tff(f808,plain,( 29.71/29.92 spl25_58 <=> ! [X5 : lparray_intcm_intrp] : lt(X5,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_58])])). 29.71/29.92 tff(f811,plain,( 29.71/29.92 spl25_60 <=> ! [X6 : $int] : (~$less($sum(X6,$uminus(sK7)),0) | $less(sK11,X6) | ~$less(sK7,X6))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_60])])). 29.71/29.92 tff(f813,plain,( 29.71/29.92 spl25_58 | spl25_60 | ~spl25_8), 29.71/29.92 inference(AVATAR_split_clause,[],[f773,f534,f811,f808])). 29.71/29.92 tff(f819,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of(X10,sK7,X11) = 0 | eq(X10,sK7) | ~$less(sK7,X11) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f687,f406])). 29.71/29.92 tff(f851,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of(X10,sK7,X11) = 0 | eq(X10,sK7) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(subsumption_resolution,[],[f819,f406])). 29.71/29.92 tff(f865,plain,( 29.71/29.92 ( ! [X19:$int,X20:$int,X18:lparray_intcm_intrp] : (~$less(0,num_of(X18,sK7,X20)) | $less(X19,X20) | $less(X20,sK7) | eq(X18,sK7) | $less(sK11,X19)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f444,f851])). 29.71/29.92 tff(f868,plain,( 29.71/29.92 ( ! [X28:$int,X29:lparray_intcm_intrp,X27:lparray_intcm_intrp] : ($less(sK21(X27,X29,sK7,X28),X28) | ~$less(num_of(X29,sK7,X28),0) | eq(X27,sK7) | $less(sK11,X28)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f448,f851])). 29.71/29.92 tff(f869,plain,( 29.71/29.92 ( ! [X30:lparray_intcm_intrp,X31:$int,X32:lparray_intcm_intrp] : ($less(sK21(X32,X30,sK7,X31),X31) | ~$less(0,num_of(X32,sK7,X31)) | eq(X30,sK7) | $less(sK11,X31)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f448,f851])). 29.71/29.92 tff(f870,plain,( 29.71/29.92 ( ! [X35:lparray_intcm_intrp,X33:lparray_intcm_intrp,X34:$int] : (~$less(sK21(X33,X35,sK7,X34),sK7) | ~$less(num_of(X35,sK7,X34),0) | eq(X33,sK7) | $less(sK11,X34)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f449,f851])). 29.71/29.92 tff(f871,plain,( 29.71/29.92 ( ! [X37:$int,X38:lparray_intcm_intrp,X36:lparray_intcm_intrp] : (~$less(sK21(X38,X36,sK7,X37),sK7) | ~$less(0,num_of(X38,sK7,X37)) | eq(X36,sK7) | $less(sK11,X37)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f449,f851])). 29.71/29.92 tff(f896,plain,( 29.71/29.92 ( ! [X0:uni] : (~$less(sK6,tb2t(get(int,int,t2tb1(sK8),X0))) | ~$less(tb2t(X0),sK7) | $less(tb2t(X0),0)) )), 29.71/29.92 inference(superposition,[],[f333,f356])). 29.71/29.92 tff(f897,plain,( 29.71/29.92 ( ! [X0:uni] : (~$less(tb2t(get(int,int,t2tb1(sK8),X0)),0) | ~$less(tb2t(X0),sK7) | $less(tb2t(X0),0)) )), 29.71/29.92 inference(superposition,[],[f334,f356])). 29.71/29.92 tff(f898,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f641,f409])). 29.71/29.92 tff(f899,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f641,f410])). 29.71/29.92 tff(f900,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f641,f411])). 29.71/29.92 tff(f901,plain,( 29.71/29.92 0 = sK4 | $less(0,sK2) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f641,f407])). 29.71/29.92 tff(f902,plain,( 29.71/29.92 ~$less(sK4,0) | ~$less(0,sK2) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f392,f641])). 29.71/29.92 tff(f903,plain,( 29.71/29.92 ~$less($sum(sK2,$uminus(0)),sK4) | ~$less(0,sK2) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f393,f641])). 29.71/29.92 tff(f904,plain,( 29.71/29.92 0 = sK4 | $less(0,sK2) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f407,f641])). 29.71/29.92 tff(f905,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f409,f641])). 29.71/29.92 tff(f906,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f410,f641])). 29.71/29.92 tff(f907,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f411,f641])). 29.71/29.92 tff(f908,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less(num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X0),sK4) | $less(sK2,0) | $less(X0,sK2)) ) | ~spl25_38), 29.71/29.92 inference(superposition,[],[f445,f641])). 29.71/29.92 tff(f930,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f907])). 29.71/29.92 tff(f931,plain,( 29.71/29.92 sK2 = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f930])). 29.71/29.92 tff(f932,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f906])). 29.71/29.92 tff(f933,plain,( 29.71/29.92 sK2 = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f932])). 29.71/29.92 tff(f934,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f905])). 29.71/29.92 tff(f935,plain,( 29.71/29.92 sK2 = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f934])). 29.71/29.92 tff(f936,plain,( 29.71/29.92 ~$less($sum(sK2,0),sK4) | ~$less(0,sK2) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f903])). 29.71/29.92 tff(f937,plain,( 29.71/29.92 ~$less(sK2,sK4) | ~$less(0,sK2) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f936])). 29.71/29.92 tff(f938,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f900])). 29.71/29.92 tff(f939,plain,( 29.71/29.92 sK2 = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f938])). 29.71/29.92 tff(f940,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f899])). 29.71/29.92 tff(f941,plain,( 29.71/29.92 sK2 = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f940])). 29.71/29.92 tff(f942,plain,( 29.71/29.92 $sum(sK2,0) = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f898])). 29.71/29.92 tff(f943,plain,( 29.71/29.92 sK2 = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_38), 29.71/29.92 inference(evaluation,[],[f942])). 29.71/29.92 tff(f944,plain,( 29.71/29.92 sK2 = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f943,f549])). 29.71/29.92 tff(f949,plain,( 29.71/29.92 spl25_62 <=> $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_62])])). 29.71/29.92 tff(f952,plain,( 29.71/29.92 spl25_65 <=> sK2 != sK4), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_65])])). 29.71/29.92 tff(f953,plain,( 29.71/29.92 sK2 != sK4 | ~spl25_65), 29.71/29.92 inference(AVATAR_component_clause,[],[f952])). 29.71/29.92 tff(f955,plain,( 29.71/29.92 spl25_64 <=> sK2 = sK4), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_64])])). 29.71/29.92 tff(f957,plain,( 29.71/29.92 spl25_62 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f944,f640,f548,f955,f949])). 29.71/29.92 tff(f958,plain,( 29.71/29.92 sK2 = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f941,f549])). 29.71/29.92 tff(f963,plain,( 29.71/29.92 spl25_67 <=> ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_67])])). 29.71/29.92 tff(f965,plain,( 29.71/29.92 ~spl25_67 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f958,f640,f548,f955,f963])). 29.71/29.92 tff(f966,plain,( 29.71/29.92 sK2 = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f939,f549])). 29.71/29.92 tff(f971,plain,( 29.71/29.92 spl25_69 <=> ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_69])])). 29.71/29.92 tff(f973,plain,( 29.71/29.92 ~spl25_69 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f966,f640,f548,f955,f971])). 29.71/29.92 tff(f975,plain,( 29.71/29.92 spl25_71 <=> ~$less(0,sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_71])])). 29.71/29.92 tff(f978,plain,( 29.71/29.92 spl25_70 <=> $less(0,sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_70])])). 29.71/29.92 tff(f984,plain,( 29.71/29.92 spl25_72 <=> 0 = sK4), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_72])])). 29.71/29.92 tff(f985,plain,( 29.71/29.92 0 = sK4 | ~spl25_72), 29.71/29.92 inference(AVATAR_component_clause,[],[f984])). 29.71/29.92 tff(f986,plain,( 29.71/29.92 spl25_70 | spl25_72 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f901,f640,f984,f978])). 29.71/29.92 tff(f991,plain,( 29.71/29.92 spl25_75 <=> ~$less(sK4,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_75])])). 29.71/29.92 tff(f993,plain,( 29.71/29.92 ~spl25_71 | ~spl25_75 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f902,f640,f991,f975])). 29.71/29.92 tff(f998,plain,( 29.71/29.92 spl25_77 <=> ~$less(sK2,sK4)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_77])])). 29.71/29.92 tff(f1000,plain,( 29.71/29.92 ~spl25_71 | ~spl25_77 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f937,f640,f998,f975])). 29.71/29.92 tff(f1001,plain,( 29.71/29.92 spl25_70 | spl25_72 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f904,f640,f984,f978])). 29.71/29.92 tff(f1002,plain,( 29.71/29.92 sK2 = sK4 | $less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f935,f549])). 29.71/29.92 tff(f1003,plain,( 29.71/29.92 spl25_62 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f1002,f640,f548,f955,f949])). 29.71/29.92 tff(f1004,plain,( 29.71/29.92 sK2 = sK4 | ~$less(sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f933,f549])). 29.71/29.92 tff(f1005,plain,( 29.71/29.92 ~spl25_67 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f1004,f640,f548,f955,f963])). 29.71/29.92 tff(f1006,plain,( 29.71/29.92 sK2 = sK4 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK15(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f931,f549])). 29.71/29.92 tff(f1007,plain,( 29.71/29.92 ~spl25_69 | spl25_64 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f1006,f640,f548,f955,f971])). 29.71/29.92 tff(f1008,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less(num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X0),sK4) | $less(X0,sK2)) ) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(subsumption_resolution,[],[f908,f549])). 29.71/29.92 tff(f1012,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f578,f412])). 29.71/29.92 tff(f1013,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f578,f413])). 29.71/29.92 tff(f1014,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f578,f414])). 29.71/29.92 tff(f1015,plain,( 29.71/29.92 $sum(sK9,-1) = 0 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f578,f406])). 29.71/29.92 tff(f1016,plain,( 29.71/29.92 ~$less($sum(sK7,$uminus(0)),$sum(sK9,-1)) | ~$less(0,sK7) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f394,f578])). 29.71/29.92 tff(f1018,plain,( 29.71/29.92 $sum(sK9,-1) = 0 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f406,f578])). 29.71/29.92 tff(f1019,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f412,f578])). 29.71/29.92 tff(f1020,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f413,f578])). 29.71/29.92 tff(f1021,plain,( 29.71/29.92 $sum(sK9,-1) = $sum(sK7,$uminus(0)) | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f414,f578])). 29.71/29.92 tff(f1022,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less(num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,X0),$sum(sK9,-1)) | $less(X0,sK7) | $less(sK7,0)) ) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f444,f578])). 29.71/29.92 tff(f1044,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1021])). 29.71/29.92 tff(f1045,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1044])). 29.71/29.92 tff(f1046,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1020])). 29.71/29.92 tff(f1047,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1046])). 29.71/29.92 tff(f1048,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1019])). 29.71/29.92 tff(f1049,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1048])). 29.71/29.92 tff(f1050,plain,( 29.71/29.92 $uminus(-1) = sK9 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1018])). 29.71/29.92 tff(f1051,plain,( 29.71/29.92 1 = sK9 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1050])). 29.71/29.92 tff(f1054,plain,( 29.71/29.92 ~$less($sum(sK7,0),$sum(sK9,-1)) | ~$less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1016])). 29.71/29.92 tff(f1055,plain,( 29.71/29.92 ~$less(sK7,$sum(sK9,-1)) | ~$less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1054])). 29.71/29.92 tff(f1056,plain,( 29.71/29.92 $uminus(-1) = sK9 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1015])). 29.71/29.92 tff(f1057,plain,( 29.71/29.92 1 = sK9 | $less(0,sK7) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1056])). 29.71/29.92 tff(f1058,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1014])). 29.71/29.92 tff(f1059,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1058])). 29.71/29.92 tff(f1060,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1013])). 29.71/29.92 tff(f1061,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1060])). 29.71/29.92 tff(f1062,plain,( 29.71/29.92 $sum(sK7,0) = $sum(sK9,-1) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1012])). 29.71/29.92 tff(f1063,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | $less(sK7,0) | ~spl25_20), 29.71/29.92 inference(evaluation,[],[f1062])). 29.71/29.92 tff(f1064,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1063,f563])). 29.71/29.92 tff(f1069,plain,( 29.71/29.92 spl25_79 <=> ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_79])])). 29.71/29.92 tff(f1075,plain,( 29.71/29.92 spl25_80 <=> $sum(sK9,-1) = sK7), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_80])])). 29.71/29.92 tff(f1076,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~spl25_80), 29.71/29.92 inference(AVATAR_component_clause,[],[f1075])). 29.71/29.92 tff(f1077,plain,( 29.71/29.92 ~spl25_79 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1064,f577,f562,f1075,f1069])). 29.71/29.92 tff(f1078,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1061,f563])). 29.71/29.92 tff(f1083,plain,( 29.71/29.92 spl25_82 <=> $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_82])])). 29.71/29.92 tff(f1085,plain,( 29.71/29.92 spl25_82 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1078,f577,f562,f1075,f1083])). 29.71/29.92 tff(f1086,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1059,f563])). 29.71/29.92 tff(f1091,plain,( 29.71/29.92 spl25_85 <=> ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_85])])). 29.71/29.92 tff(f1093,plain,( 29.71/29.92 ~spl25_85 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1086,f577,f562,f1075,f1091])). 29.71/29.92 tff(f1095,plain,( 29.71/29.92 spl25_87 <=> ~$less(0,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_87])])). 29.71/29.92 tff(f1098,plain,( 29.71/29.92 spl25_86 <=> $less(0,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_86])])). 29.71/29.92 tff(f1104,plain,( 29.71/29.92 spl25_88 <=> 1 = sK9), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_88])])). 29.71/29.92 tff(f1106,plain,( 29.71/29.92 spl25_86 | spl25_88 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1057,f577,f1104,f1098])). 29.71/29.92 tff(f1111,plain,( 29.71/29.92 spl25_91 <=> ~$less(sK7,$sum(sK9,-1))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_91])])). 29.71/29.92 tff(f1112,plain,( 29.71/29.92 ~$less(sK7,$sum(sK9,-1)) | ~spl25_91), 29.71/29.92 inference(AVATAR_component_clause,[],[f1111])). 29.71/29.92 tff(f1113,plain,( 29.71/29.92 ~spl25_87 | ~spl25_91 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1055,f577,f1111,f1095])). 29.71/29.92 tff(f1114,plain,( 29.71/29.92 spl25_86 | spl25_88 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1051,f577,f1104,f1098])). 29.71/29.92 tff(f1115,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),0) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1049,f563])). 29.71/29.92 tff(f1116,plain,( 29.71/29.92 ~spl25_79 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1115,f577,f562,f1075,f1069])). 29.71/29.92 tff(f1117,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7),sK7) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1047,f563])). 29.71/29.92 tff(f1118,plain,( 29.71/29.92 spl25_82 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1117,f577,f562,f1075,f1083])). 29.71/29.92 tff(f1119,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1045,f563])). 29.71/29.92 tff(f1120,plain,( 29.71/29.92 ~spl25_85 | spl25_80 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f1119,f577,f562,f1075,f1091])). 29.71/29.92 tff(f1121,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less(num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,X0),$sum(sK9,-1)) | $less(X0,sK7)) ) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(subsumption_resolution,[],[f1022,f563])). 29.71/29.92 tff(f1125,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = sK7 | (~spl25_20 | ~spl25_80)), 29.71/29.92 inference(backward_demodulation,[],[f1076,f578])). 29.71/29.92 tff(f1144,plain,( 29.71/29.92 ~$less(sK7,sK7) | (~spl25_80 | ~spl25_91)), 29.71/29.92 inference(backward_demodulation,[],[f1076,f1112])). 29.71/29.92 tff(f1150,plain,( 29.71/29.92 spl25_93 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) != sK7), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_93])])). 29.71/29.92 tff(f1151,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) != sK7 | ~spl25_93), 29.71/29.92 inference(AVATAR_component_clause,[],[f1150])). 29.71/29.92 tff(f1153,plain,( 29.71/29.92 spl25_92 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = sK7), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_92])])). 29.71/29.92 tff(f1154,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = sK7 | ~spl25_92), 29.71/29.92 inference(AVATAR_component_clause,[],[f1153])). 29.71/29.92 tff(f1155,plain,( 29.71/29.92 spl25_92 | ~spl25_20 | ~spl25_80), 29.71/29.92 inference(AVATAR_split_clause,[],[f1125,f1075,f577,f1153])). 29.71/29.92 tff(f1160,plain,( 29.71/29.92 spl25_95 <=> ~$less(sK7,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_95])])). 29.71/29.92 tff(f1161,plain,( 29.71/29.92 ~$less(sK7,sK7) | ~spl25_95), 29.71/29.92 inference(AVATAR_component_clause,[],[f1160])). 29.71/29.92 tff(f1162,plain,( 29.71/29.92 ~spl25_95 | ~spl25_80 | spl25_91), 29.71/29.92 inference(AVATAR_split_clause,[],[f1144,f1111,f1075,f1160])). 29.71/29.92 tff(f1166,plain,( 29.71/29.92 sorted_sub(sK5,0,0) | (~spl25_36 | ~spl25_72)), 29.71/29.92 inference(backward_demodulation,[],[f985,f634])). 29.71/29.92 tff(f1167,plain,( 29.71/29.92 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = 0 | (~spl25_38 | ~spl25_72)), 29.71/29.92 inference(backward_demodulation,[],[f985,f641])). 29.71/29.92 tff(f1168,plain,( 29.71/29.92 $sum($sum(sK7,$uminus(sK9)),1) = 0 | (~spl25_48 | ~spl25_72)), 29.71/29.92 inference(backward_demodulation,[],[f985,f682])). 29.71/29.92 tff(f1193,plain,( 29.71/29.92 0 != sK2 | (~spl25_65 | ~spl25_72)), 29.71/29.92 inference(backward_demodulation,[],[f985,f953])). 29.71/29.92 tff(f1206,plain,( 29.71/29.92 spl25_96 <=> sorted_sub(sK5,0,0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_96])])). 29.71/29.92 tff(f1208,plain,( 29.71/29.92 spl25_96 | ~spl25_36 | ~spl25_72), 29.71/29.92 inference(AVATAR_split_clause,[],[f1166,f984,f633,f1206])). 29.71/29.92 tff(f1213,plain,( 29.71/29.92 spl25_98 <=> num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = 0), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_98])])). 29.71/29.92 tff(f1214,plain,( 29.71/29.92 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = 0 | ~spl25_98), 29.71/29.92 inference(AVATAR_component_clause,[],[f1213])). 29.71/29.92 tff(f1215,plain,( 29.71/29.92 spl25_98 | ~spl25_38 | ~spl25_72), 29.71/29.92 inference(AVATAR_split_clause,[],[f1167,f984,f640,f1213])). 29.71/29.92 tff(f1220,plain,( 29.71/29.92 spl25_100 <=> $sum($sum(sK7,$uminus(sK9)),1) = 0), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_100])])). 29.71/29.92 tff(f1221,plain,( 29.71/29.92 $sum($sum(sK7,$uminus(sK9)),1) = 0 | ~spl25_100), 29.71/29.92 inference(AVATAR_component_clause,[],[f1220])). 29.71/29.92 tff(f1222,plain,( 29.71/29.92 spl25_100 | ~spl25_48 | ~spl25_72), 29.71/29.92 inference(AVATAR_split_clause,[],[f1168,f984,f681,f1220])). 29.71/29.92 tff(f1227,plain,( 29.71/29.92 spl25_103 <=> 0 != sK2), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_103])])). 29.71/29.92 tff(f1229,plain,( 29.71/29.92 ~spl25_103 | spl25_65 | ~spl25_72), 29.71/29.92 inference(AVATAR_split_clause,[],[f1193,f984,f952,f1227])). 29.71/29.92 tff(f1313,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of(X10,sK7,X11) = $sum(1,0) | ~eq(X10,sK7) | ~$less(sK7,X11) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f684,f406])). 29.71/29.92 tff(f1316,plain,( 29.71/29.92 ( ! [X10:lparray_intcm_intrp,X11:$int] : (num_of(X10,sK7,X11) = 1 | ~eq(X10,sK7) | ~$less(sK7,X11) | $less(sK11,X11)) ) | ~spl25_8), 29.71/29.92 inference(evaluation,[],[f1313])). 29.71/29.92 tff(f1325,plain,( 29.71/29.92 ( ! [X4:$int,X3:lparray_intcm_intrp] : (~$less($sum(X4,$uminus(sK7)),1) | ~$less(sK7,X4) | ~eq(X3,sK7) | ~$less(sK7,X4) | $less(sK11,X4)) ) | ~spl25_8), 29.71/29.92 inference(superposition,[],[f394,f1316])). 29.71/29.92 tff(f1359,plain,( 29.71/29.92 ( ! [X4:$int,X3:lparray_intcm_intrp] : (~$less($sum(X4,$uminus(sK7)),1) | ~$less(sK7,X4) | ~eq(X3,sK7) | $less(sK11,X4)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f1325])). 29.71/29.92 tff(f1364,plain,( 29.71/29.92 spl25_104 <=> ! [X3 : lparray_intcm_intrp] : ~eq(X3,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_104])])). 29.71/29.92 tff(f1367,plain,( 29.71/29.92 spl25_106 <=> ! [X4 : $int] : (~$less($sum(X4,$uminus(sK7)),1) | $less(sK11,X4) | ~$less(sK7,X4))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_106])])). 29.71/29.92 tff(f1369,plain,( 29.71/29.92 spl25_104 | spl25_106 | ~spl25_8), 29.71/29.92 inference(AVATAR_split_clause,[],[f1359,f534,f1367,f1364])). 29.71/29.92 tff(f1564,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum(sK9,-1) | ~$less(sK6,sK6) | $less(sK6,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f470,f578])). 29.71/29.92 tff(f1569,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum(sK9,-1) | ~$less(sK6,sK6) | $less(sK6,0) | ~spl25_20), 29.71/29.92 inference(superposition,[],[f578,f470])). 29.71/29.92 tff(f1570,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != sK7 | ~$less(sK6,sK6) | $less(sK6,0) | ~spl25_93), 29.71/29.92 inference(superposition,[],[f1151,f470])). 29.71/29.92 tff(f1613,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum(sK9,-1) | ~$less(sK6,sK6) | (~spl25_20 | ~spl25_33)), 29.71/29.92 inference(subsumption_resolution,[],[f1564,f620])). 29.71/29.92 tff(f1618,plain,( 29.71/29.92 spl25_109 <=> ~$less(sK6,sK6)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_109])])). 29.71/29.92 tff(f1619,plain,( 29.71/29.92 ~$less(sK6,sK6) | ~spl25_109), 29.71/29.92 inference(AVATAR_component_clause,[],[f1618])). 29.71/29.92 tff(f1621,plain,( 29.71/29.92 spl25_111 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != $sum(sK9,-1)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_111])])). 29.71/29.92 tff(f1622,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != $sum(sK9,-1) | ~spl25_111), 29.71/29.92 inference(AVATAR_component_clause,[],[f1621])). 29.71/29.92 tff(f1624,plain,( 29.71/29.92 spl25_110 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum(sK9,-1)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_110])])). 29.71/29.92 tff(f1626,plain,( 29.71/29.92 ~spl25_109 | spl25_110 | ~spl25_20 | spl25_33), 29.71/29.92 inference(AVATAR_split_clause,[],[f1613,f619,f577,f1624,f1618])). 29.71/29.92 tff(f1630,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum(sK9,-1) | ~$less(sK6,sK6) | (~spl25_20 | ~spl25_33)), 29.71/29.92 inference(subsumption_resolution,[],[f1569,f620])). 29.71/29.92 tff(f1631,plain,( 29.71/29.92 ~spl25_109 | spl25_110 | ~spl25_20 | spl25_33), 29.71/29.92 inference(AVATAR_split_clause,[],[f1630,f619,f577,f1624,f1618])). 29.71/29.92 tff(f1632,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != sK7 | ~$less(sK6,sK6) | (~spl25_33 | ~spl25_93)), 29.71/29.92 inference(subsumption_resolution,[],[f1570,f620])). 29.71/29.92 tff(f1637,plain,( 29.71/29.92 spl25_113 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != sK7), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_113])])). 29.71/29.92 tff(f1638,plain,( 29.71/29.92 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != sK7 | ~spl25_113), 29.71/29.92 inference(AVATAR_component_clause,[],[f1637])). 29.71/29.92 tff(f1639,plain,( 29.71/29.92 ~spl25_109 | ~spl25_113 | spl25_33 | spl25_93), 29.71/29.92 inference(AVATAR_split_clause,[],[f1632,f1150,f619,f1637,f1618])). 29.71/29.92 tff(f1646,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) != sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(superposition,[],[f1638,f412])). 29.71/29.92 tff(f1647,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) != sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(superposition,[],[f1638,f413])). 29.71/29.92 tff(f1648,plain,( 29.71/29.92 $sum(sK2,$uminus(0)) != sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(superposition,[],[f1638,f414])). 29.71/29.92 tff(f1650,plain,( 29.71/29.92 $sum(sK2,0) != sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1648])). 29.71/29.92 tff(f1651,plain,( 29.71/29.92 sK2 != sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1650])). 29.71/29.92 tff(f1652,plain,( 29.71/29.92 $sum(sK2,0) != sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1647])). 29.71/29.92 tff(f1653,plain,( 29.71/29.92 sK2 != sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1652])). 29.71/29.92 tff(f1654,plain,( 29.71/29.92 $sum(sK2,0) != sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1646])). 29.71/29.92 tff(f1655,plain,( 29.71/29.92 sK2 != sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_113), 29.71/29.92 inference(evaluation,[],[f1654])). 29.71/29.92 tff(f1656,plain,( 29.71/29.92 sK2 != sK7 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | (~spl25_13 | ~spl25_113)), 29.71/29.92 inference(subsumption_resolution,[],[f1655,f549])). 29.71/29.92 tff(f1658,plain,( 29.71/29.92 spl25_114 <=> $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_114])])). 29.71/29.92 tff(f1659,plain,( 29.71/29.92 $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | ~spl25_114), 29.71/29.92 inference(AVATAR_component_clause,[],[f1658])). 29.71/29.92 tff(f1661,plain,( 29.71/29.92 spl25_115 <=> ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_115])])). 29.71/29.92 tff(f1667,plain,( 29.71/29.92 spl25_117 <=> sK2 != sK7), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_117])])). 29.71/29.92 tff(f1669,plain,( 29.71/29.92 ~spl25_115 | ~spl25_117 | spl25_13 | spl25_113), 29.71/29.92 inference(AVATAR_split_clause,[],[f1656,f1637,f548,f1667,f1661])). 29.71/29.92 tff(f1670,plain,( 29.71/29.92 sK2 != sK7 | $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2) | (~spl25_13 | ~spl25_113)), 29.71/29.92 inference(subsumption_resolution,[],[f1653,f549])). 29.71/29.92 tff(f1675,plain,( 29.71/29.92 spl25_118 <=> $less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_118])])). 29.71/29.92 tff(f1677,plain,( 29.71/29.92 spl25_118 | ~spl25_117 | spl25_13 | spl25_113), 29.71/29.92 inference(AVATAR_split_clause,[],[f1670,f1637,f548,f1667,f1675])). 29.71/29.92 tff(f1678,plain,( 29.71/29.92 sK2 != sK7 | ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | (~spl25_13 | ~spl25_113)), 29.71/29.92 inference(subsumption_resolution,[],[f1651,f549])). 29.71/29.92 tff(f1683,plain,( 29.71/29.92 spl25_121 <=> ~eq(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_121])])). 29.71/29.92 tff(f1685,plain,( 29.71/29.92 ~spl25_121 | ~spl25_117 | spl25_13 | spl25_113), 29.71/29.92 inference(AVATAR_split_clause,[],[f1678,f1637,f548,f1667,f1683])). 29.71/29.92 tff(f1690,plain,( 29.71/29.92 ( ! [X4:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X4))),0,sK2) = 0 | $less(X4,0) | ~$less(X4,sK6) | $less(0,sK4)) )), 29.71/29.92 inference(superposition,[],[f471,f406])). 29.71/29.92 tff(f1691,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less($sum(sK4,$uminus(0)),num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X0))),0,sK2)) | ~$less(0,sK4) | $less(X0,0) | ~$less(X0,sK6)) )), 29.71/29.92 inference(superposition,[],[f394,f471])). 29.71/29.92 tff(f1693,plain,( 29.71/29.92 ( ! [X2:$int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X2))),0,sK2) = 0 | $less(0,sK4) | $less(X2,0) | ~$less(X2,sK6)) )), 29.71/29.92 inference(superposition,[],[f406,f471])). 29.71/29.92 tff(f1725,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less($sum(sK4,0),num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X0))),0,sK2)) | ~$less(0,sK4) | $less(X0,0) | ~$less(X0,sK6)) )), 29.71/29.92 inference(evaluation,[],[f1691])). 29.71/29.92 tff(f1726,plain,( 29.71/29.92 ( ! [X0:$int] : (~$less(sK4,num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X0))),0,sK2)) | ~$less(0,sK4) | $less(X0,0) | ~$less(X0,sK6)) )), 29.71/29.92 inference(evaluation,[],[f1725])). 29.71/29.92 tff(f1737,plain,( 29.71/29.92 spl25_123 <=> ~$less(0,sK4)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_123])])). 29.71/29.92 tff(f1740,plain,( 29.71/29.92 spl25_122 <=> $less(0,sK4)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_122])])). 29.71/29.92 tff(f1741,plain,( 29.71/29.92 $less(0,sK4) | ~spl25_122), 29.71/29.92 inference(AVATAR_component_clause,[],[f1740])). 29.71/29.92 tff(f1743,plain,( 29.71/29.92 spl25_124 <=> ! [X4 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X4))),0,sK2) = 0 | ~$less(X4,sK6) | $less(X4,0))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_124])])). 29.71/29.92 tff(f1745,plain,( 29.71/29.92 spl25_122 | spl25_124), 29.71/29.92 inference(AVATAR_split_clause,[],[f1690,f1743,f1740])). 29.71/29.92 tff(f1747,plain,( 29.71/29.92 spl25_126 <=> ! [X0 : $int] : (~$less(sK4,num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X0))),0,sK2)) | ~$less(X0,sK6) | $less(X0,0))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_126])])). 29.71/29.92 tff(f1749,plain,( 29.71/29.92 ~spl25_123 | spl25_126), 29.71/29.92 inference(AVATAR_split_clause,[],[f1726,f1747,f1737])). 29.71/29.92 tff(f1750,plain,( 29.71/29.92 spl25_122 | spl25_124), 29.71/29.92 inference(AVATAR_split_clause,[],[f1693,f1743,f1740])). 29.71/29.92 tff(f1755,plain,( 29.71/29.92 0 = sK4 | (~spl25_48 | ~spl25_100)), 29.71/29.92 inference(backward_demodulation,[],[f1221,f682])). 29.71/29.92 tff(f1756,plain,( 29.71/29.92 spl25_72 | ~spl25_48 | ~spl25_100), 29.71/29.92 inference(AVATAR_split_clause,[],[f1755,f1220,f681,f984])). 29.71/29.92 tff(f1757,plain,( 29.71/29.92 0 = sK4 | (~spl25_38 | ~spl25_98)), 29.71/29.92 inference(backward_demodulation,[],[f1214,f641])). 29.71/29.92 tff(f1758,plain,( 29.71/29.92 spl25_72 | ~spl25_38 | ~spl25_98), 29.71/29.92 inference(AVATAR_split_clause,[],[f1757,f1213,f640,f984])). 29.71/29.92 tff(f1759,plain,( 29.71/29.92 $sum(sK9,-1) = sK7 | (~spl25_20 | ~spl25_92)), 29.71/29.92 inference(backward_demodulation,[],[f1154,f578])). 29.71/29.92 tff(f1760,plain,( 29.71/29.92 spl25_80 | ~spl25_20 | ~spl25_92), 29.71/29.92 inference(AVATAR_split_clause,[],[f1759,f1153,f577,f1075])). 29.71/29.92 tff(f1887,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp,X5:$int] : (num_of1(X4,X5,sK7) = num_of1(X4,X5,sK9) | lt(X4,$sum(sK9,-1)) | ~$less(X5,sK9)) ) | ~spl25_80), 29.71/29.92 inference(superposition,[],[f493,f1076])). 29.71/29.92 tff(f1891,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp,X5:$int] : (num_of1(X4,X5,sK7) = num_of1(X4,X5,sK9) | lt(X4,sK7) | ~$less(X5,sK9)) ) | ~spl25_80), 29.71/29.92 inference(forward_demodulation,[],[f1887,f1076])). 29.71/29.92 tff(f1903,plain,( 29.71/29.92 ( ! [X13:lparray_intcm_intrp] : (num_of1(X13,sK7,sK7) = 0 | lt(X13,sK7) | ~$less(sK7,sK9) | lt(X13,sK7) | $less(sK11,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(superposition,[],[f1891,f754])). 29.71/29.92 tff(f1904,plain,( 29.71/29.92 ( ! [X14:lparray_intcm_intrp] : (num_of1(X14,sK7,sK9) = num_of1(X14,sK11,sK7) | lt(X14,sK7) | ~$less(sK11,sK9) | lt(X14,sK7) | ~$less(sK7,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(superposition,[],[f1891,f686])). 29.71/29.92 tff(f1907,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (num_of1(X4,sK7,sK9) = num_of1(X4,sK11,sK7) | lt(X4,sK7) | ~$less(sK7,sK9) | lt(X4,sK7) | ~$less(sK11,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(superposition,[],[f686,f1891])). 29.71/29.92 tff(f1909,plain,( 29.71/29.92 ( ! [X6:lparray_intcm_intrp] : (num_of1(X6,sK7,sK7) = 0 | lt(X6,sK7) | $less(sK11,sK9) | lt(X6,sK7) | ~$less(sK7,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(superposition,[],[f754,f1891])). 29.71/29.92 tff(f1942,plain,( 29.71/29.92 ( ! [X6:lparray_intcm_intrp] : (num_of1(X6,sK7,sK7) = 0 | lt(X6,sK7) | $less(sK11,sK9) | ~$less(sK7,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(duplicate_literal_removal,[],[f1909])). 29.71/29.92 tff(f1944,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (num_of1(X4,sK7,sK9) = num_of1(X4,sK11,sK7) | lt(X4,sK7) | ~$less(sK7,sK9) | ~$less(sK11,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(duplicate_literal_removal,[],[f1907])). 29.71/29.92 tff(f1946,plain,( 29.71/29.92 ( ! [X14:lparray_intcm_intrp] : (num_of1(X14,sK7,sK9) = num_of1(X14,sK11,sK7) | lt(X14,sK7) | ~$less(sK11,sK9) | ~$less(sK7,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(duplicate_literal_removal,[],[f1904])). 29.71/29.92 tff(f1947,plain,( 29.71/29.92 ( ! [X13:lparray_intcm_intrp] : (num_of1(X13,sK7,sK7) = 0 | lt(X13,sK7) | ~$less(sK7,sK9) | $less(sK11,sK9)) ) | (~spl25_8 | ~spl25_80)), 29.71/29.92 inference(duplicate_literal_removal,[],[f1903])). 29.71/29.92 tff(f1950,plain,( 29.71/29.92 spl25_129 <=> ~$less(sK11,sK9)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_129])])). 29.71/29.92 tff(f1953,plain,( 29.71/29.92 spl25_128 <=> $less(sK11,sK9)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_128])])). 29.71/29.92 tff(f1959,plain,( 29.71/29.92 spl25_131 <=> ~$less(sK7,sK9)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_131])])). 29.71/29.92 tff(f1962,plain,( 29.71/29.92 spl25_132 <=> ! [X13 : lparray_intcm_intrp] : (num_of1(X13,sK7,sK7) = 0 | lt(X13,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_132])])). 29.71/29.92 tff(f1964,plain,( 29.71/29.92 spl25_128 | ~spl25_131 | spl25_132 | ~spl25_8 | ~spl25_80), 29.71/29.92 inference(AVATAR_split_clause,[],[f1947,f1075,f534,f1962,f1959,f1953])). 29.71/29.92 tff(f1966,plain,( 29.71/29.92 spl25_134 <=> ! [X14 : lparray_intcm_intrp] : (num_of1(X14,sK7,sK9) = num_of1(X14,sK11,sK7) | lt(X14,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_134])])). 29.71/29.92 tff(f1968,plain,( 29.71/29.92 ~spl25_131 | ~spl25_129 | spl25_134 | ~spl25_8 | ~spl25_80), 29.71/29.92 inference(AVATAR_split_clause,[],[f1946,f1075,f534,f1966,f1950,f1959])). 29.71/29.92 tff(f1969,plain,( 29.71/29.92 ~spl25_129 | ~spl25_131 | spl25_134 | ~spl25_8 | ~spl25_80), 29.71/29.92 inference(AVATAR_split_clause,[],[f1944,f1075,f534,f1966,f1959,f1950])). 29.71/29.92 tff(f1970,plain,( 29.71/29.92 ~spl25_131 | spl25_128 | spl25_132 | ~spl25_8 | ~spl25_80), 29.71/29.92 inference(AVATAR_split_clause,[],[f1942,f1075,f534,f1962,f1953,f1959])). 29.71/29.92 tff(f2208,plain,( 29.71/29.92 $sum(sK9,-1) != $sum(sK2,$uminus(0)) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_111), 29.71/29.92 inference(superposition,[],[f1622,f412])). 29.71/29.92 tff(f2218,plain,( 29.71/29.92 $sum(sK2,0) != $sum(sK9,-1) | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_111), 29.71/29.92 inference(evaluation,[],[f2208])). 29.71/29.92 tff(f2219,plain,( 29.71/29.92 $sum(sK9,-1) != sK2 | ~$less(sK16(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2),0) | $less(sK2,0) | ~spl25_111), 29.71/29.92 inference(evaluation,[],[f2218])). 29.71/29.92 tff(f2220,plain,( 29.71/29.92 $sum(sK9,-1) != sK2 | $less(sK2,0) | (~spl25_111 | ~spl25_114)), 29.71/29.92 inference(subsumption_resolution,[],[f2219,f1659])). 29.71/29.92 tff(f2221,plain,( 29.71/29.92 $sum(sK9,-1) != sK2 | (~spl25_13 | ~spl25_111 | ~spl25_114)), 29.71/29.92 inference(subsumption_resolution,[],[f2220,f549])). 29.71/29.92 tff(f2226,plain,( 29.71/29.92 spl25_137 <=> $sum(sK9,-1) != sK2), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_137])])). 29.71/29.92 tff(f2228,plain,( 29.71/29.92 ~spl25_137 | spl25_13 | spl25_111 | ~spl25_114), 29.71/29.92 inference(AVATAR_split_clause,[],[f2221,f1658,f1621,f548,f2226])). 29.71/29.92 tff(f2229,plain,( 29.71/29.92 ~$less(sK4,sK4) | $less(sK2,sK2) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(superposition,[],[f1008,f641])). 29.71/29.92 tff(f2234,plain,( 29.71/29.92 ( ! [X4:$int] : (~$less(0,sK4) | $less(X4,sK2) | $less(0,X4)) ) | (~spl25_13 | ~spl25_38)), 29.71/29.92 inference(superposition,[],[f1008,f407])). 29.71/29.92 tff(f2245,plain,( 29.71/29.92 spl25_138 <=> $less(sK2,sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_138])])). 29.71/29.92 tff(f2251,plain,( 29.71/29.92 spl25_141 <=> ~$less(sK4,sK4)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_141])])). 29.71/29.92 tff(f2253,plain,( 29.71/29.92 spl25_138 | ~spl25_141 | spl25_13 | ~spl25_38), 29.71/29.92 inference(AVATAR_split_clause,[],[f2229,f640,f548,f2251,f2245])). 29.71/29.92 tff(f2254,plain,( 29.71/29.92 ( ! [X4:$int] : ($less(0,X4) | $less(X4,sK2)) ) | (~spl25_13 | ~spl25_38 | ~spl25_122)), 29.71/29.92 inference(subsumption_resolution,[],[f2234,f1741])). 29.71/29.92 tff(f2255,plain,( 29.71/29.92 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : ($less(num_of(X0,sK7,X1),sK2) | $less(X2,X1) | $less(X1,sK7) | eq(X0,sK7) | $less(sK11,X2)) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122)), 29.71/29.92 inference(resolution,[],[f2254,f865])). 29.71/29.92 tff(f2256,plain,( 29.71/29.92 ( ! [X4:$int,X5:$int,X3:lparray_intcm_intrp] : ($less(num_of1(X3,sK7,X4),sK2) | $less(X4,sK7) | $less(X5,X4) | lt(X3,sK7) | $less(sK11,X5)) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122)), 29.71/29.92 inference(resolution,[],[f2254,f778])). 29.71/29.92 tff(f2257,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(num_of(X0,sK7,sK2),sK2) | $less(sK2,sK7) | eq(X0,sK7) | $less(sK11,num_of(X0,sK7,sK2))) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122)), 29.71/29.92 inference(factoring,[],[f2255])). 29.71/29.92 tff(f2270,plain,( 29.71/29.92 spl25_143 <=> ~$less(sK2,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_143])])). 29.71/29.92 tff(f2271,plain,( 29.71/29.92 ~$less(sK2,sK7) | ~spl25_143), 29.71/29.92 inference(AVATAR_component_clause,[],[f2270])). 29.71/29.92 tff(f2273,plain,( 29.71/29.92 spl25_142 <=> $less(sK2,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_142])])). 29.71/29.92 tff(f2276,plain,( 29.71/29.92 spl25_144 <=> ! [X0 : lparray_intcm_intrp] : ($less(num_of(X0,sK7,sK2),sK2) | $less(sK11,num_of(X0,sK7,sK2)) | eq(X0,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_144])])). 29.71/29.92 tff(f2277,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(sK11,num_of(X0,sK7,sK2)) | $less(num_of(X0,sK7,sK2),sK2) | eq(X0,sK7)) ) | ~spl25_144), 29.71/29.92 inference(AVATAR_component_clause,[],[f2276])). 29.71/29.92 tff(f2278,plain,( 29.71/29.92 spl25_142 | spl25_144 | ~spl25_8 | spl25_13 | ~spl25_38 | ~spl25_122), 29.71/29.92 inference(AVATAR_split_clause,[],[f2257,f1740,f640,f548,f534,f2276,f2273])). 29.71/29.92 tff(f2281,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(sK11,0) | $less(num_of(X1,sK7,sK2),sK2) | eq(X1,sK7) | eq(X1,sK7) | $less(sK11,sK2)) ) | (~spl25_8 | ~spl25_144)), 29.71/29.92 inference(superposition,[],[f2277,f851])). 29.71/29.92 tff(f2282,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X2,sK7,sK2),sK2) | eq(X2,sK7) | ~$less(sK16(X2,sK7,sK2),sK7) | $less(sK2,sK7)) ) | ~spl25_144), 29.71/29.92 inference(superposition,[],[f2277,f412])). 29.71/29.92 tff(f2283,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X3,sK7,sK2),sK2) | eq(X3,sK7) | $less(sK16(X3,sK7,sK2),sK2) | $less(sK2,sK7)) ) | ~spl25_144), 29.71/29.92 inference(superposition,[],[f2277,f413])). 29.71/29.92 tff(f2284,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X4,sK7,sK2),sK2) | eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK2)) | $less(sK2,sK7)) ) | ~spl25_144), 29.71/29.92 inference(superposition,[],[f2277,f414])). 29.71/29.92 tff(f2286,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(sK11,0) | $less(num_of(X1,sK7,sK2),sK2) | eq(X1,sK7) | $less(sK11,sK2)) ) | (~spl25_8 | ~spl25_144)), 29.71/29.92 inference(duplicate_literal_removal,[],[f2281])). 29.71/29.92 tff(f2287,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(num_of(X1,sK7,sK2),sK2) | eq(X1,sK7) | $less(sK11,sK2)) ) | (~spl25_8 | ~spl25_55 | ~spl25_144)), 29.71/29.92 inference(subsumption_resolution,[],[f2286,f757])). 29.71/29.92 tff(f2292,plain,( 29.71/29.92 spl25_146 <=> $less(sK11,sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_146])])). 29.71/29.92 tff(f2295,plain,( 29.71/29.92 spl25_148 <=> ! [X1 : lparray_intcm_intrp] : ($less(num_of(X1,sK7,sK2),sK2) | eq(X1,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_148])])). 29.71/29.92 tff(f2297,plain,( 29.71/29.92 spl25_146 | spl25_148 | ~spl25_8 | spl25_55 | ~spl25_144), 29.71/29.92 inference(AVATAR_split_clause,[],[f2287,f2276,f756,f534,f2295,f2292])). 29.71/29.92 tff(f2298,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X2,sK7,sK2),sK2) | eq(X2,sK7) | ~$less(sK16(X2,sK7,sK2),sK7)) ) | (~spl25_143 | ~spl25_144)), 29.71/29.92 inference(subsumption_resolution,[],[f2282,f2271])). 29.71/29.92 tff(f2300,plain,( 29.71/29.92 spl25_150 <=> ! [X2 : lparray_intcm_intrp] : ($less(num_of(X2,sK7,sK2),sK2) | ~$less(sK16(X2,sK7,sK2),sK7) | eq(X2,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_150])])). 29.71/29.92 tff(f2306,plain,( 29.71/29.92 spl25_152 <=> $less(sK11,$sum(sK2,$uminus(sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_152])])). 29.71/29.92 tff(f2308,plain,( 29.71/29.92 spl25_150 | spl25_152 | spl25_143 | ~spl25_144), 29.71/29.92 inference(AVATAR_split_clause,[],[f2298,f2276,f2270,f2306,f2300])). 29.71/29.92 tff(f2309,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X3,sK7,sK2),sK2) | eq(X3,sK7) | $less(sK16(X3,sK7,sK2),sK2)) ) | (~spl25_143 | ~spl25_144)), 29.71/29.92 inference(subsumption_resolution,[],[f2283,f2271])). 29.71/29.92 tff(f2311,plain,( 29.71/29.92 spl25_154 <=> ! [X3 : lparray_intcm_intrp] : ($less(num_of(X3,sK7,sK2),sK2) | $less(sK16(X3,sK7,sK2),sK2) | eq(X3,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_154])])). 29.71/29.92 tff(f2313,plain,( 29.71/29.92 spl25_154 | spl25_152 | spl25_143 | ~spl25_144), 29.71/29.92 inference(AVATAR_split_clause,[],[f2309,f2276,f2270,f2306,f2311])). 29.71/29.92 tff(f2314,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less(sK11,$sum(sK2,$uminus(sK7))) | $less(num_of(X4,sK7,sK2),sK2) | eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK2))) ) | (~spl25_143 | ~spl25_144)), 29.71/29.92 inference(subsumption_resolution,[],[f2284,f2271])). 29.71/29.92 tff(f2316,plain,( 29.71/29.92 spl25_156 <=> ! [X4 : lparray_intcm_intrp] : ($less(num_of(X4,sK7,sK2),sK2) | ~eq(X4,sK16(X4,sK7,sK2)) | eq(X4,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_156])])). 29.71/29.92 tff(f2318,plain,( 29.71/29.92 spl25_156 | spl25_152 | spl25_143 | ~spl25_144), 29.71/29.92 inference(AVATAR_split_clause,[],[f2314,f2276,f2270,f2306,f2316])). 29.71/29.92 tff(f2319,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(num_of1(X0,sK7,sK2),sK2) | $less(sK2,sK7) | lt(X0,sK7) | $less(sK11,num_of1(X0,sK7,sK2))) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122)), 29.71/29.92 inference(factoring,[],[f2256])). 29.71/29.92 tff(f2331,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(sK11,num_of1(X0,sK7,sK2)) | lt(X0,sK7) | $less(num_of1(X0,sK7,sK2),sK2)) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_143)), 29.71/29.92 inference(subsumption_resolution,[],[f2319,f2271])). 29.71/29.92 tff(f2339,plain,( 29.71/29.92 ~$less($sum(sK9,-1),$sum(sK9,-1)) | $less(sK7,sK7) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(superposition,[],[f1121,f578])). 29.71/29.92 tff(f2345,plain,( 29.71/29.92 ( ! [X4:$int] : (~$less(0,$sum(sK9,-1)) | $less(X4,sK7) | $less(0,X4)) ) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(superposition,[],[f1121,f406])). 29.71/29.92 tff(f2346,plain,( 29.71/29.92 ( ! [X4:$int] : (~$less($uminus(-1),sK9) | $less(X4,sK7) | $less(0,X4)) ) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(evaluation,[],[f2345])). 29.71/29.92 tff(f2347,plain,( 29.71/29.92 ( ! [X4:$int] : (~$less(1,sK9) | $less(X4,sK7) | $less(0,X4)) ) | (~spl25_17 | ~spl25_20)), 29.71/29.92 inference(evaluation,[],[f2346])). 29.71/29.92 tff(f2354,plain,( 29.71/29.92 ~$less($sum(sK9,-1),$sum(sK9,-1)) | (~spl25_17 | ~spl25_20 | ~spl25_95)), 29.71/29.92 inference(subsumption_resolution,[],[f2339,f1161])). 29.71/29.92 tff(f2359,plain,( 29.71/29.92 spl25_159 <=> ~$less($sum(sK9,-1),$sum(sK9,-1))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_159])])). 29.71/29.92 tff(f2361,plain,( 29.71/29.92 ~spl25_159 | spl25_17 | ~spl25_20 | spl25_95), 29.71/29.92 inference(AVATAR_split_clause,[],[f2354,f1160,f577,f562,f2359])). 29.71/29.92 tff(f2363,plain,( 29.71/29.92 spl25_160 <=> ! [X4 : $int] : ($less(X4,sK7) | $less(0,X4))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_160])])). 29.71/29.92 tff(f2364,plain,( 29.71/29.92 ( ! [X4:$int] : ($less(0,X4) | $less(X4,sK7)) ) | ~spl25_160), 29.71/29.92 inference(AVATAR_component_clause,[],[f2363])). 29.71/29.92 tff(f2369,plain,( 29.71/29.92 spl25_163 <=> ~$less(1,sK9)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_163])])). 29.71/29.92 tff(f2371,plain,( 29.71/29.92 spl25_160 | ~spl25_163 | spl25_17 | ~spl25_20), 29.71/29.92 inference(AVATAR_split_clause,[],[f2347,f577,f562,f2369,f2363])). 29.71/29.92 tff(f2372,plain,( 29.71/29.92 ( ! [X2:$int,X0:lparray_intcm_intrp,X1:$int] : ($less(num_of(X0,sK7,X1),sK7) | $less(X2,X1) | $less(X1,sK7) | eq(X0,sK7) | $less(sK11,X2)) ) | (~spl25_8 | ~spl25_160)), 29.71/29.92 inference(resolution,[],[f2364,f865])). 29.71/29.92 tff(f2374,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(num_of(X0,sK7,sK7),sK7) | $less(sK7,sK7) | eq(X0,sK7) | $less(sK11,num_of(X0,sK7,sK7))) ) | (~spl25_8 | ~spl25_160)), 29.71/29.92 inference(factoring,[],[f2372])). 29.71/29.92 tff(f2386,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : ($less(sK11,num_of(X0,sK7,sK7)) | eq(X0,sK7) | $less(num_of(X0,sK7,sK7),sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2374,f1161])). 29.71/29.92 tff(f2388,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(sK11,0) | eq(X1,sK7) | $less(num_of(X1,sK7,sK7),sK7) | eq(X1,sK7) | $less(sK11,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2386,f851])). 29.71/29.92 tff(f2389,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X2,sK7) | $less(num_of(X2,sK7,sK7),sK7) | ~$less(sK16(X2,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2386,f412])). 29.71/29.92 tff(f2390,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X3,sK7) | $less(num_of(X3,sK7,sK7),sK7) | $less(sK16(X3,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2386,f413])). 29.71/29.92 tff(f2391,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X4,sK7) | $less(num_of(X4,sK7,sK7),sK7) | ~eq(X4,sK16(X4,sK7,sK7)) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2386,f414])). 29.71/29.92 tff(f2392,plain,( 29.71/29.92 ( ! [X5:lparray_intcm_intrp] : ($less(sK11,0) | eq(X5,sK7) | $less(num_of(X5,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2386,f406])). 29.71/29.92 tff(f2393,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(sK11,0) | eq(X1,sK7) | $less(num_of(X1,sK7,sK7),sK7) | $less(sK11,sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(duplicate_literal_removal,[],[f2388])). 29.71/29.92 tff(f2394,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : (eq(X1,sK7) | $less(num_of(X1,sK7,sK7),sK7) | $less(sK11,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2393,f757])). 29.71/29.92 tff(f2396,plain,( 29.71/29.92 spl25_165 <=> ~$less(sK11,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_165])])). 29.71/29.92 tff(f2397,plain,( 29.71/29.92 ~$less(sK11,sK7) | ~spl25_165), 29.71/29.92 inference(AVATAR_component_clause,[],[f2396])). 29.71/29.92 tff(f2399,plain,( 29.71/29.92 spl25_164 <=> $less(sK11,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_164])])). 29.71/29.92 tff(f2402,plain,( 29.71/29.92 spl25_166 <=> ! [X1 : lparray_intcm_intrp] : (eq(X1,sK7) | $less(num_of(X1,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_166])])). 29.71/29.92 tff(f2404,plain,( 29.71/29.92 spl25_164 | spl25_166 | ~spl25_8 | spl25_55 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2394,f2363,f1160,f756,f534,f2402,f2399])). 29.71/29.92 tff(f2405,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X2,sK7) | $less(num_of(X2,sK7,sK7),sK7) | ~$less(sK16(X2,sK7,sK7),sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2389,f1161])). 29.71/29.92 tff(f2407,plain,( 29.71/29.92 spl25_168 <=> ! [X2 : lparray_intcm_intrp] : (eq(X2,sK7) | ~$less(sK16(X2,sK7,sK7),sK7) | $less(num_of(X2,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_168])])). 29.71/29.92 tff(f2413,plain,( 29.71/29.92 spl25_170 <=> $less(sK11,$sum(sK7,$uminus(sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_170])])). 29.71/29.92 tff(f2415,plain,( 29.71/29.92 spl25_168 | spl25_170 | ~spl25_8 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2405,f2363,f1160,f534,f2413,f2407])). 29.71/29.92 tff(f2416,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X3,sK7) | $less(num_of(X3,sK7,sK7),sK7) | $less(sK16(X3,sK7,sK7),sK7)) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2390,f1161])). 29.71/29.92 tff(f2418,plain,( 29.71/29.92 spl25_172 <=> ! [X3 : lparray_intcm_intrp] : (eq(X3,sK7) | $less(sK16(X3,sK7,sK7),sK7) | $less(num_of(X3,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_172])])). 29.71/29.92 tff(f2420,plain,( 29.71/29.92 spl25_172 | spl25_170 | ~spl25_8 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2416,f2363,f1160,f534,f2413,f2418])). 29.71/29.92 tff(f2421,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less(sK11,$sum(sK7,$uminus(sK7))) | eq(X4,sK7) | $less(num_of(X4,sK7,sK7),sK7) | ~eq(X4,sK16(X4,sK7,sK7))) ) | (~spl25_8 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2391,f1161])). 29.71/29.92 tff(f2423,plain,( 29.71/29.92 spl25_174 <=> ! [X4 : lparray_intcm_intrp] : (eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK7)) | $less(num_of(X4,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_174])])). 29.71/29.92 tff(f2425,plain,( 29.71/29.92 spl25_174 | spl25_170 | ~spl25_8 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2421,f2363,f1160,f534,f2413,f2423])). 29.71/29.92 tff(f2426,plain,( 29.71/29.92 ( ! [X5:lparray_intcm_intrp] : (eq(X5,sK7) | $less(num_of(X5,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2392,f757])). 29.71/29.92 tff(f2427,plain,( 29.71/29.92 ( ! [X5:lparray_intcm_intrp] : ($less(num_of(X5,sK7,sK7),sK7) | eq(X5,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2426,f1161])). 29.71/29.92 tff(f2447,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X2,sK7) | ~$less(sK16(X2,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2427,f412])). 29.71/29.92 tff(f2448,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X3,sK7) | $less(sK16(X3,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2427,f413])). 29.71/29.92 tff(f2449,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK7)) | $less(sK7,sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(superposition,[],[f2427,f414])). 29.71/29.92 tff(f2452,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X2,sK7) | ~$less(sK16(X2,sK7,sK7),sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2447,f1161])). 29.71/29.92 tff(f2454,plain,( 29.71/29.92 spl25_176 <=> ! [X2 : lparray_intcm_intrp] : (eq(X2,sK7) | ~$less(sK16(X2,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_176])])). 29.71/29.92 tff(f2460,plain,( 29.71/29.92 spl25_178 <=> $less($sum(sK7,$uminus(sK7)),sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_178])])). 29.71/29.92 tff(f2462,plain,( 29.71/29.92 spl25_176 | spl25_178 | ~spl25_8 | spl25_55 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2452,f2363,f1160,f756,f534,f2460,f2454])). 29.71/29.92 tff(f2463,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X3,sK7) | $less(sK16(X3,sK7,sK7),sK7)) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2448,f1161])). 29.71/29.92 tff(f2465,plain,( 29.71/29.92 spl25_180 <=> ! [X3 : lparray_intcm_intrp] : (eq(X3,sK7) | $less(sK16(X3,sK7,sK7),sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_180])])). 29.71/29.92 tff(f2467,plain,( 29.71/29.92 spl25_180 | spl25_178 | ~spl25_8 | spl25_55 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2463,f2363,f1160,f756,f534,f2460,f2465])). 29.71/29.92 tff(f2468,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK7) | eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK7))) ) | (~spl25_8 | ~spl25_55 | ~spl25_95 | ~spl25_160)), 29.71/29.92 inference(subsumption_resolution,[],[f2449,f1161])). 29.71/29.92 tff(f2470,plain,( 29.71/29.92 spl25_182 <=> ! [X4 : lparray_intcm_intrp] : (eq(X4,sK7) | ~eq(X4,sK16(X4,sK7,sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_182])])). 29.71/29.92 tff(f2472,plain,( 29.71/29.92 spl25_182 | spl25_178 | ~spl25_8 | spl25_55 | spl25_95 | ~spl25_160), 29.71/29.92 inference(AVATAR_split_clause,[],[f2468,f2363,f1160,f756,f534,f2460,f2470])). 29.71/29.92 tff(f2519,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of1(X0,sK7,sK7),0) | lt(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of1(X1,sK7,sK7)) | lt(X0,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f783,f782])). 29.71/29.92 tff(f2520,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of1(X2,sK7,sK7),0) | lt(X3,sK7) | $less(sK11,sK7) | ~$less(num_of1(X2,sK7,sK7),0) | lt(X3,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f783,f781])). 29.71/29.92 tff(f2521,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of1(X2,sK7,sK7),0) | lt(X3,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2520])). 29.71/29.92 tff(f2522,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of1(X0,sK7,sK7),0) | lt(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of1(X1,sK7,sK7)) | lt(X0,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2519])). 29.71/29.92 tff(f2523,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of1(X0,sK7,sK7),0) | lt(X1,sK7) | ~$less(0,num_of1(X1,sK7,sK7)) | lt(X0,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2522,f2397])). 29.71/29.92 tff(f2525,plain,( 29.71/29.92 spl25_184 <=> ! [X1 : lparray_intcm_intrp] : (lt(X1,sK7) | ~$less(0,num_of1(X1,sK7,sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_184])])). 29.71/29.92 tff(f2528,plain,( 29.71/29.92 spl25_186 <=> ! [X0 : lparray_intcm_intrp] : (~$less(num_of1(X0,sK7,sK7),0) | lt(X0,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_186])])). 29.71/29.92 tff(f2530,plain,( 29.71/29.92 spl25_184 | spl25_186 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2523,f2396,f534,f2528,f2525])). 29.71/29.92 tff(f2531,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of1(X2,sK7,sK7),0) | lt(X3,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2521,f2397])). 29.71/29.92 tff(f2533,plain,( 29.71/29.92 spl25_188 <=> ! [X2 : lparray_intcm_intrp] : ~$less(num_of1(X2,sK7,sK7),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_188])])). 29.71/29.92 tff(f2534,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : (~$less(num_of1(X2,sK7,sK7),0)) ) | ~spl25_188), 29.71/29.92 inference(AVATAR_component_clause,[],[f2533])). 29.71/29.92 tff(f2535,plain,( 29.71/29.92 spl25_58 | spl25_188 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2531,f2396,f534,f2533,f808])). 29.71/29.92 tff(f2549,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | $less(sK15(X2,sK7,sK7),sK7) | $less(sK7,sK7)) ) | ~spl25_188), 29.71/29.92 inference(superposition,[],[f2534,f409])). 29.71/29.92 tff(f2550,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | ~$less(sK15(X3,sK7,sK7),sK7) | $less(sK7,sK7)) ) | ~spl25_188), 29.71/29.92 inference(superposition,[],[f2534,f410])). 29.71/29.92 tff(f2551,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | ~lt(X4,sK15(X4,sK7,sK7)) | $less(sK7,sK7)) ) | ~spl25_188), 29.71/29.92 inference(superposition,[],[f2534,f411])). 29.71/29.92 tff(f2553,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | $less(sK15(X2,sK7,sK7),sK7)) ) | (~spl25_95 | ~spl25_188)), 29.71/29.92 inference(subsumption_resolution,[],[f2549,f1161])). 29.71/29.92 tff(f2555,plain,( 29.71/29.92 spl25_190 <=> ! [X2 : lparray_intcm_intrp] : $less(sK15(X2,sK7,sK7),sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_190])])). 29.71/29.92 tff(f2561,plain,( 29.71/29.92 spl25_193 <=> ~$less($sum(sK7,$uminus(sK7)),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_193])])). 29.71/29.92 tff(f2563,plain,( 29.71/29.92 spl25_190 | ~spl25_193 | spl25_95 | ~spl25_188), 29.71/29.92 inference(AVATAR_split_clause,[],[f2553,f2533,f1160,f2561,f2555])). 29.71/29.92 tff(f2564,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | ~$less(sK15(X3,sK7,sK7),sK7)) ) | (~spl25_95 | ~spl25_188)), 29.71/29.92 inference(subsumption_resolution,[],[f2550,f1161])). 29.71/29.92 tff(f2566,plain,( 29.71/29.92 spl25_194 <=> ! [X3 : lparray_intcm_intrp] : ~$less(sK15(X3,sK7,sK7),sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_194])])). 29.71/29.92 tff(f2568,plain,( 29.71/29.92 spl25_194 | ~spl25_193 | spl25_95 | ~spl25_188), 29.71/29.92 inference(AVATAR_split_clause,[],[f2564,f2533,f1160,f2561,f2566])). 29.71/29.92 tff(f2569,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (~$less($sum(sK7,$uminus(sK7)),0) | ~lt(X4,sK15(X4,sK7,sK7))) ) | (~spl25_95 | ~spl25_188)), 29.71/29.92 inference(subsumption_resolution,[],[f2551,f1161])). 29.71/29.92 tff(f2571,plain,( 29.71/29.92 spl25_196 <=> ! [X4 : lparray_intcm_intrp] : ~lt(X4,sK15(X4,sK7,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_196])])). 29.71/29.92 tff(f2573,plain,( 29.71/29.92 spl25_196 | ~spl25_193 | spl25_95 | ~spl25_188), 29.71/29.92 inference(AVATAR_split_clause,[],[f2569,f2533,f1160,f2561,f2571])). 29.71/29.92 tff(f2574,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of1(X0,sK7,sK7)) | lt(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of1(X0,sK7,sK7)) | lt(X1,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f784,f782])). 29.71/29.92 tff(f2577,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of1(X0,sK7,sK7)) | lt(X1,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2574])). 29.71/29.92 tff(f2578,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of1(X0,sK7,sK7)) | lt(X1,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2577,f2397])). 29.71/29.92 tff(f2580,plain,( 29.71/29.92 spl25_198 <=> ! [X0 : lparray_intcm_intrp] : ~$less(0,num_of1(X0,sK7,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_198])])). 29.71/29.92 tff(f2581,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp] : (~$less(0,num_of1(X0,sK7,sK7))) ) | ~spl25_198), 29.71/29.92 inference(AVATAR_component_clause,[],[f2580])). 29.71/29.92 tff(f2582,plain,( 29.71/29.92 spl25_58 | spl25_198 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2578,f2396,f534,f2580,f808])). 29.71/29.92 tff(f2584,plain,( 29.71/29.92 ( ! [X1:lparray_intcm_intrp] : ($less(num_of1(X1,sK7,sK7),sK2)) ) | (~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(resolution,[],[f2581,f2254])). 29.71/29.92 tff(f2587,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | $less(sK15(X2,sK7,sK7),sK7) | $less(sK7,sK7)) ) | ~spl25_198), 29.71/29.92 inference(superposition,[],[f2581,f409])). 29.71/29.92 tff(f2588,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | ~$less(sK15(X3,sK7,sK7),sK7) | $less(sK7,sK7)) ) | ~spl25_198), 29.71/29.92 inference(superposition,[],[f2581,f410])). 29.71/29.92 tff(f2589,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | ~lt(X4,sK15(X4,sK7,sK7)) | $less(sK7,sK7)) ) | ~spl25_198), 29.71/29.92 inference(superposition,[],[f2581,f411])). 29.71/29.92 tff(f2592,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | $less(sK15(X2,sK7,sK7),sK7)) ) | (~spl25_95 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2587,f1161])). 29.71/29.92 tff(f2597,plain,( 29.71/29.92 spl25_201 <=> ~$less(0,$sum(sK7,$uminus(sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_201])])). 29.71/29.92 tff(f2599,plain,( 29.71/29.92 spl25_190 | ~spl25_201 | spl25_95 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2592,f2580,f1160,f2597,f2555])). 29.71/29.92 tff(f2600,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | ~$less(sK15(X3,sK7,sK7),sK7)) ) | (~spl25_95 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2588,f1161])). 29.71/29.92 tff(f2601,plain,( 29.71/29.92 spl25_194 | ~spl25_201 | spl25_95 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2600,f2580,f1160,f2597,f2566])). 29.71/29.92 tff(f2602,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : (~$less(0,$sum(sK7,$uminus(sK7))) | ~lt(X4,sK15(X4,sK7,sK7))) ) | (~spl25_95 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2589,f1161])). 29.71/29.92 tff(f2603,plain,( 29.71/29.92 spl25_196 | ~spl25_201 | spl25_95 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2602,f2580,f1160,f2597,f2571])). 29.71/29.92 tff(f2623,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | $less(sK15(X2,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(superposition,[],[f2584,f409])). 29.71/29.92 tff(f2624,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | ~$less(sK15(X3,sK7,sK7),sK7) | $less(sK7,sK7)) ) | (~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(superposition,[],[f2584,f410])). 29.71/29.92 tff(f2625,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | ~lt(X4,sK15(X4,sK7,sK7)) | $less(sK7,sK7)) ) | (~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(superposition,[],[f2584,f411])). 29.71/29.92 tff(f2627,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | $less(sK15(X2,sK7,sK7),sK7)) ) | (~spl25_13 | ~spl25_38 | ~spl25_95 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2623,f1161])). 29.71/29.92 tff(f2632,plain,( 29.71/29.92 spl25_202 <=> $less($sum(sK7,$uminus(sK7)),sK2)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_202])])). 29.71/29.92 tff(f2634,plain,( 29.71/29.92 spl25_190 | spl25_202 | spl25_13 | ~spl25_38 | spl25_95 | ~spl25_122 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2627,f2580,f1740,f1160,f640,f548,f2632,f2555])). 29.71/29.92 tff(f2635,plain,( 29.71/29.92 ( ! [X3:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | ~$less(sK15(X3,sK7,sK7),sK7)) ) | (~spl25_13 | ~spl25_38 | ~spl25_95 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2624,f1161])). 29.71/29.92 tff(f2636,plain,( 29.71/29.92 spl25_194 | spl25_202 | spl25_13 | ~spl25_38 | spl25_95 | ~spl25_122 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2635,f2580,f1740,f1160,f640,f548,f2632,f2566])). 29.71/29.92 tff(f2637,plain,( 29.71/29.92 ( ! [X4:lparray_intcm_intrp] : ($less($sum(sK7,$uminus(sK7)),sK2) | ~lt(X4,sK15(X4,sK7,sK7))) ) | (~spl25_13 | ~spl25_38 | ~spl25_95 | ~spl25_122 | ~spl25_198)), 29.71/29.92 inference(subsumption_resolution,[],[f2625,f1161])). 29.71/29.92 tff(f2638,plain,( 29.71/29.92 spl25_196 | spl25_202 | spl25_13 | ~spl25_38 | spl25_95 | ~spl25_122 | ~spl25_198), 29.71/29.92 inference(AVATAR_split_clause,[],[f2637,f2580,f1740,f1160,f640,f548,f2632,f2571])). 29.71/29.92 tff(f2646,plain,( 29.71/29.92 ( ! [X2:$int,X0:array_int,X1:$int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),$sum(sK7,$uminus(sK9)),X2) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK4,X2),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9)),X2)) | $less($sum(sK7,$uminus(sK9)),0) | $less(length(int,t2tb2(X0)),X2) | ~$less($sum(sK7,$uminus(sK9)),X2) | ~$less(X1,k) | $less(X1,0) | ~k_values(X0) | lt(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9))) | ~$less($sum(sK7,$uminus(sK9)),X2)) ) | ~spl25_48), 29.71/29.92 inference(superposition,[],[f477,f690])). 29.71/29.92 tff(f2679,plain,( 29.71/29.92 ( ! [X2:$int,X0:array_int,X1:$int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),$sum(sK7,$uminus(sK9)),X2) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK4,X2),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9)),X2)) | $less($sum(sK7,$uminus(sK9)),0) | $less(length(int,t2tb2(X0)),X2) | ~$less($sum(sK7,$uminus(sK9)),X2) | ~$less(X1,k) | $less(X1,0) | ~k_values(X0) | lt(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9)))) ) | ~spl25_48), 29.71/29.92 inference(duplicate_literal_removal,[],[f2646])). 29.71/29.92 tff(f2684,plain,( 29.71/29.92 spl25_204 <=> $less($sum(sK7,$uminus(sK9)),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_204])])). 29.71/29.92 tff(f2687,plain,( 29.71/29.92 spl25_206 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb($sum(X1,1)))),$sum(sK7,$uminus(sK9)),X2) = $sum(num_of1(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),sK4,X2),num_of(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9)),X2)) | lt(tb2t3(tuple21(array(int),int,t2tb2(X0),t2tb(X1))),$sum(sK7,$uminus(sK9))) | ~k_values(X0) | $less(X1,0) | ~$less(X1,k) | ~$less($sum(sK7,$uminus(sK9)),X2) | $less(length(int,t2tb2(X0)),X2))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_206])])). 29.71/29.92 tff(f2689,plain,( 29.71/29.92 spl25_204 | spl25_206 | ~spl25_48), 29.71/29.92 inference(AVATAR_split_clause,[],[f2679,f681,f2687,f2684])). 29.71/29.92 tff(f2833,plain,( 29.71/29.92 ( ! [X123:lparray_intcm_intrp] : ($less(sK11,0) | lt(X123,sK7) | $less(num_of1(X123,sK7,sK2),sK2) | lt(X123,sK7) | $less(sK11,$sum(sK2,-1)) | lt(X123,$sum(sK2,-1))) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_143)), 29.71/29.92 inference(superposition,[],[f2331,f805])). 29.71/29.92 tff(f2842,plain,( 29.71/29.92 ( ! [X123:lparray_intcm_intrp] : ($less(sK11,0) | lt(X123,sK7) | $less(num_of1(X123,sK7,sK2),sK2) | $less(sK11,$sum(sK2,-1)) | lt(X123,$sum(sK2,-1))) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_122 | ~spl25_143)), 29.71/29.92 inference(duplicate_literal_removal,[],[f2833])). 29.71/29.92 tff(f2860,plain,( 29.71/29.92 ( ! [X123:lparray_intcm_intrp] : (lt(X123,sK7) | $less(num_of1(X123,sK7,sK2),sK2) | $less(sK11,$sum(sK2,-1)) | lt(X123,$sum(sK2,-1))) ) | (~spl25_8 | ~spl25_13 | ~spl25_38 | ~spl25_55 | ~spl25_122 | ~spl25_143)), 29.71/29.92 inference(subsumption_resolution,[],[f2842,f757])). 29.71/29.92 tff(f2865,plain,( 29.71/29.92 spl25_208 <=> $less(sK11,$sum(sK2,-1))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_208])])). 29.71/29.92 tff(f2868,plain,( 29.71/29.92 spl25_210 <=> ! [X123 : lparray_intcm_intrp] : (lt(X123,sK7) | lt(X123,$sum(sK2,-1)) | $less(num_of1(X123,sK7,sK2),sK2))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_210])])). 29.71/29.92 tff(f2870,plain,( 29.71/29.92 spl25_208 | spl25_210 | ~spl25_8 | spl25_13 | ~spl25_38 | spl25_55 | ~spl25_122 | spl25_143), 29.71/29.92 inference(AVATAR_split_clause,[],[f2860,f2270,f1740,f756,f640,f548,f534,f2868,f2865])). 29.71/29.92 tff(f2871,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of(X0,sK7,sK7),0) | eq(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of(X1,sK7,sK7)) | eq(X0,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f870,f869])). 29.71/29.92 tff(f2872,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of(X2,sK7,sK7),0) | eq(X3,sK7) | $less(sK11,sK7) | ~$less(num_of(X2,sK7,sK7),0) | eq(X3,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f870,f868])). 29.71/29.92 tff(f2873,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of(X2,sK7,sK7),0) | eq(X3,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2872])). 29.71/29.92 tff(f2874,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of(X0,sK7,sK7),0) | eq(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of(X1,sK7,sK7)) | eq(X0,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2871])). 29.71/29.92 tff(f2875,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(num_of(X0,sK7,sK7),0) | eq(X1,sK7) | ~$less(0,num_of(X1,sK7,sK7)) | eq(X0,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2874,f2397])). 29.71/29.92 tff(f2877,plain,( 29.71/29.92 spl25_212 <=> ! [X1 : lparray_intcm_intrp] : (eq(X1,sK7) | ~$less(0,num_of(X1,sK7,sK7)))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_212])])). 29.71/29.92 tff(f2880,plain,( 29.71/29.92 spl25_214 <=> ! [X0 : lparray_intcm_intrp] : (~$less(num_of(X0,sK7,sK7),0) | eq(X0,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_214])])). 29.71/29.92 tff(f2882,plain,( 29.71/29.92 spl25_212 | spl25_214 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2875,f2396,f534,f2880,f2877])). 29.71/29.92 tff(f2883,plain,( 29.71/29.92 ( ! [X2:lparray_intcm_intrp,X3:lparray_intcm_intrp] : (~$less(num_of(X2,sK7,sK7),0) | eq(X3,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2873,f2397])). 29.71/29.92 tff(f2885,plain,( 29.71/29.92 spl25_216 <=> ! [X3 : lparray_intcm_intrp] : eq(X3,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_216])])). 29.71/29.92 tff(f2888,plain,( 29.71/29.92 spl25_218 <=> ! [X2 : lparray_intcm_intrp] : ~$less(num_of(X2,sK7,sK7),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_218])])). 29.71/29.92 tff(f2890,plain,( 29.71/29.92 spl25_216 | spl25_218 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2883,f2396,f534,f2888,f2885])). 29.71/29.92 tff(f2913,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of(X0,sK7,sK7)) | eq(X1,sK7) | $less(sK11,sK7) | ~$less(0,num_of(X0,sK7,sK7)) | eq(X1,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(resolution,[],[f871,f869])). 29.71/29.92 tff(f2916,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of(X0,sK7,sK7)) | eq(X1,sK7) | $less(sK11,sK7)) ) | ~spl25_8), 29.71/29.92 inference(duplicate_literal_removal,[],[f2913])). 29.71/29.92 tff(f2917,plain,( 29.71/29.92 ( ! [X0:lparray_intcm_intrp,X1:lparray_intcm_intrp] : (~$less(0,num_of(X0,sK7,sK7)) | eq(X1,sK7)) ) | (~spl25_8 | ~spl25_165)), 29.71/29.92 inference(subsumption_resolution,[],[f2916,f2397])). 29.71/29.92 tff(f2919,plain,( 29.71/29.92 spl25_220 <=> ! [X0 : lparray_intcm_intrp] : ~$less(0,num_of(X0,sK7,sK7))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_220])])). 29.71/29.92 tff(f2921,plain,( 29.71/29.92 spl25_216 | spl25_220 | ~spl25_8 | spl25_165), 29.71/29.92 inference(AVATAR_split_clause,[],[f2917,f2396,f534,f2919,f2885])). 29.71/29.92 tff(f3079,plain,( 29.71/29.92 ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | t2tb(sK7) = t2tb(sK12) | ~sort(int,t2tb(sK12)) | (~spl25_3 | ~spl25_50)), 29.71/29.92 inference(superposition,[],[f511,f712])). 29.71/29.92 tff(f3080,plain,( 29.71/29.92 $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | t2tb(sK7) = t2tb(sK12) | ~sort(int,t2tb(sK12)) | (~spl25_0 | ~spl25_50)), 29.71/29.92 inference(superposition,[],[f508,f712])). 29.71/29.92 tff(f3086,plain,( 29.71/29.92 ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | t2tb(sK7) = t2tb(sK12) | (~spl25_3 | ~spl25_50)), 29.71/29.92 inference(subsumption_resolution,[],[f3079,f351])). 29.71/29.92 tff(f3088,plain,( 29.71/29.92 spl25_223 <=> t2tb(sK7) != t2tb(sK12)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_223])])). 29.71/29.92 tff(f3089,plain,( 29.71/29.92 t2tb(sK7) != t2tb(sK12) | ~spl25_223), 29.71/29.92 inference(AVATAR_component_clause,[],[f3088])). 29.71/29.92 tff(f3091,plain,( 29.71/29.92 spl25_222 <=> t2tb(sK7) = t2tb(sK12)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_222])])). 29.71/29.92 tff(f3092,plain,( 29.71/29.92 t2tb(sK7) = t2tb(sK12) | ~spl25_222), 29.71/29.92 inference(AVATAR_component_clause,[],[f3091])). 29.71/29.92 tff(f3094,plain,( 29.71/29.92 spl25_224 <=> $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_224])])). 29.71/29.92 tff(f3095,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | ~spl25_224), 29.71/29.92 inference(AVATAR_component_clause,[],[f3094])). 29.71/29.92 tff(f3097,plain,( 29.71/29.92 spl25_225 <=> ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_225])])). 29.71/29.92 tff(f3098,plain,( 29.71/29.92 ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | ~spl25_225), 29.71/29.92 inference(AVATAR_component_clause,[],[f3097])). 29.71/29.92 tff(f3099,plain,( 29.71/29.92 spl25_222 | ~spl25_225 | spl25_3 | ~spl25_50), 29.71/29.92 inference(AVATAR_split_clause,[],[f3086,f697,f510,f3097,f3091])). 29.71/29.92 tff(f3100,plain,( 29.71/29.92 $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | t2tb(sK7) = t2tb(sK12) | (~spl25_0 | ~spl25_50)), 29.71/29.92 inference(subsumption_resolution,[],[f3080,f351])). 29.71/29.92 tff(f3102,plain,( 29.71/29.92 spl25_227 <=> ~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_227])])). 29.71/29.92 tff(f3103,plain,( 29.71/29.92 ~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | ~spl25_227), 29.71/29.92 inference(AVATAR_component_clause,[],[f3102])). 29.71/29.92 tff(f3105,plain,( 29.71/29.92 spl25_226 <=> $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_226])])). 29.71/29.92 tff(f3106,plain,( 29.71/29.92 $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | ~spl25_226), 29.71/29.92 inference(AVATAR_component_clause,[],[f3105])). 29.71/29.92 tff(f3107,plain,( 29.71/29.92 spl25_222 | spl25_226 | ~spl25_0 | ~spl25_50), 29.71/29.92 inference(AVATAR_split_clause,[],[f3100,f697,f507,f3105,f3091])). 29.71/29.92 tff(f3114,plain,( 29.71/29.92 ~$less(sK12,sK7) | $less(sK12,0) | ~spl25_226), 29.71/29.92 inference(resolution,[],[f3106,f334])). 29.71/29.92 tff(f3115,plain,( 29.71/29.92 ~$less(tb2t(t2tb(sK12)),sK7) | $less(tb2t(t2tb(sK12)),0) | ~spl25_226), 29.71/29.92 inference(resolution,[],[f3106,f897])). 29.71/29.92 tff(f3116,plain,( 29.71/29.92 ~$less(sK12,sK7) | (~spl25_7 | ~spl25_226)), 29.71/29.92 inference(subsumption_resolution,[],[f3114,f528])). 29.71/29.92 tff(f3118,plain,( 29.71/29.92 spl25_228 <=> $less(sK12,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_228])])). 29.71/29.92 tff(f3119,plain,( 29.71/29.92 $less(sK12,sK7) | ~spl25_228), 29.71/29.92 inference(AVATAR_component_clause,[],[f3118])). 29.71/29.92 tff(f3121,plain,( 29.71/29.92 spl25_229 <=> ~$less(sK12,sK7)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_229])])). 29.71/29.92 tff(f3123,plain,( 29.71/29.92 ~spl25_229 | spl25_7 | ~spl25_226), 29.71/29.92 inference(AVATAR_split_clause,[],[f3116,f3105,f527,f3121])). 29.71/29.92 tff(f3124,plain,( 29.71/29.92 ~$less(sK12,sK7) | $less(tb2t(t2tb(sK12)),0) | ~spl25_226), 29.71/29.92 inference(forward_demodulation,[],[f3115,f359])). 29.71/29.92 tff(f3125,plain,( 29.71/29.92 $less(sK12,0) | ~$less(sK12,sK7) | ~spl25_226), 29.71/29.92 inference(forward_demodulation,[],[f3124,f359])). 29.71/29.92 tff(f3126,plain,( 29.71/29.92 ~$less(sK12,sK7) | (~spl25_7 | ~spl25_226)), 29.71/29.92 inference(subsumption_resolution,[],[f3125,f528])). 29.71/29.92 tff(f3127,plain,( 29.71/29.92 ~spl25_229 | spl25_7 | ~spl25_226), 29.71/29.92 inference(AVATAR_split_clause,[],[f3126,f3105,f527,f3121])). 29.71/29.92 tff(f3129,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | t2tb(sK7) = t2tb(sK12) | ~sort(int,t2tb(sK12)) | (~spl25_2 | ~spl25_50)), 29.71/29.92 inference(superposition,[],[f514,f712])). 29.71/29.92 tff(f3130,plain,( 29.71/29.92 t2tb(sK7) = t2tb(sK12) | ~sort(int,t2tb(sK12)) | (~spl25_2 | ~spl25_50 | ~spl25_225)), 29.71/29.92 inference(subsumption_resolution,[],[f3129,f3098])). 29.71/29.92 tff(f3131,plain,( 29.71/29.92 ~sort(int,t2tb(sK12)) | (~spl25_2 | ~spl25_50 | ~spl25_223 | ~spl25_225)), 29.71/29.92 inference(subsumption_resolution,[],[f3130,f3089])). 29.71/29.92 tff(f3132,plain,( 29.71/29.92 $false | (~spl25_2 | ~spl25_50 | ~spl25_223 | ~spl25_225)), 29.71/29.92 inference(subsumption_resolution,[],[f3131,f351])). 29.71/29.92 tff(f3133,plain,( 29.71/29.92 ~spl25_2 | ~spl25_50 | spl25_223 | spl25_225), 29.71/29.92 inference(AVATAR_contradiction_clause,[],[f3132,f3097,f3088,f697,f513])). 29.71/29.92 tff(f3134,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | ~sort(int,t2tb(sK12)) | (~spl25_2 | ~spl25_50 | ~spl25_223)), 29.71/29.92 inference(subsumption_resolution,[],[f3129,f3089])). 29.71/29.92 tff(f3135,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | (~spl25_2 | ~spl25_50 | ~spl25_223)), 29.71/29.92 inference(subsumption_resolution,[],[f3134,f351])). 29.71/29.92 tff(f3136,plain,( 29.71/29.92 spl25_224 | ~spl25_2 | ~spl25_50 | spl25_223), 29.71/29.92 inference(AVATAR_split_clause,[],[f3135,f3088,f697,f513,f3094])). 29.71/29.92 tff(f3137,plain,( 29.71/29.92 ~$less(sK12,sK7) | $less(sK12,0) | ~spl25_224), 29.71/29.92 inference(resolution,[],[f3095,f333])). 29.71/29.92 tff(f3138,plain,( 29.71/29.92 ~$less(tb2t(t2tb(sK12)),sK7) | $less(tb2t(t2tb(sK12)),0) | ~spl25_224), 29.71/29.92 inference(resolution,[],[f3095,f896])). 29.71/29.92 tff(f3139,plain,( 29.71/29.92 $less(sK12,0) | (~spl25_224 | ~spl25_228)), 29.71/29.92 inference(subsumption_resolution,[],[f3137,f3119])). 29.71/29.92 tff(f3140,plain,( 29.71/29.92 $false | (~spl25_7 | ~spl25_224 | ~spl25_228)), 29.71/29.92 inference(subsumption_resolution,[],[f3139,f528])). 29.71/29.92 tff(f3141,plain,( 29.71/29.92 spl25_7 | ~spl25_224 | ~spl25_228), 29.71/29.92 inference(AVATAR_contradiction_clause,[],[f3140,f3118,f3094,f527])). 29.71/29.92 tff(f3142,plain,( 29.71/29.92 ~$less(sK12,sK7) | $less(tb2t(t2tb(sK12)),0) | ~spl25_224), 29.71/29.92 inference(forward_demodulation,[],[f3138,f359])). 29.71/29.92 tff(f3143,plain,( 29.71/29.92 $less(tb2t(t2tb(sK12)),0) | (~spl25_224 | ~spl25_228)), 29.71/29.92 inference(subsumption_resolution,[],[f3142,f3119])). 29.71/29.92 tff(f3144,plain,( 29.71/29.92 $less(sK12,0) | (~spl25_224 | ~spl25_228)), 29.71/29.92 inference(forward_demodulation,[],[f3143,f359])). 29.71/29.92 tff(f3145,plain,( 29.71/29.92 $false | (~spl25_7 | ~spl25_224 | ~spl25_228)), 29.71/29.92 inference(subsumption_resolution,[],[f3144,f528])). 29.71/29.92 tff(f3146,plain,( 29.71/29.92 spl25_7 | ~spl25_224 | ~spl25_228), 29.71/29.92 inference(AVATAR_contradiction_clause,[],[f3145,f3118,f3094,f527])). 29.71/29.92 tff(f3147,plain,( 29.71/29.92 $less(sK12,0) | ~$less(sK12,sK7) | ~spl25_224), 29.71/29.92 inference(forward_demodulation,[],[f3142,f359])). 29.71/29.92 tff(f3148,plain,( 29.71/29.92 ~$less(sK12,sK7) | (~spl25_7 | ~spl25_224)), 29.71/29.92 inference(subsumption_resolution,[],[f3147,f528])). 29.71/29.92 tff(f3149,plain,( 29.71/29.92 ~spl25_229 | spl25_7 | ~spl25_224), 29.71/29.92 inference(AVATAR_split_clause,[],[f3148,f3094,f527,f3121])). 29.71/29.92 tff(f3150,plain,( 29.71/29.92 ~$less(sK12,sK7) | (~spl25_7 | ~spl25_224)), 29.71/29.92 inference(subsumption_resolution,[],[f3137,f528])). 29.71/29.92 tff(f3151,plain,( 29.71/29.92 ~spl25_229 | spl25_7 | ~spl25_224), 29.71/29.92 inference(AVATAR_split_clause,[],[f3150,f3094,f527,f3121])). 29.71/29.92 tff(f3152,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK7)))) | (~spl25_222 | ~spl25_224)), 29.71/29.92 inference(backward_demodulation,[],[f3092,f3095])). 29.71/29.92 tff(f3153,plain,( 29.71/29.92 ~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK7))),0) | (~spl25_222 | ~spl25_227)), 29.71/29.92 inference(backward_demodulation,[],[f3092,f3103])). 29.71/29.92 tff(f3158,plain,( 29.71/29.92 spl25_230 <=> $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK7))))), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_230])])). 29.71/29.92 tff(f3160,plain,( 29.71/29.92 spl25_230 | ~spl25_222 | ~spl25_224), 29.71/29.92 inference(AVATAR_split_clause,[],[f3152,f3094,f3091,f3158])). 29.71/29.92 tff(f3165,plain,( 29.71/29.92 spl25_233 <=> ~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK7))),0)), 29.71/29.92 introduced(AVATAR_definition,[new_symbols(naming,[spl25_233])])). 29.71/29.92 tff(f3167,plain,( 29.71/29.92 ~spl25_233 | ~spl25_222 | spl25_227), 29.71/29.92 inference(AVATAR_split_clause,[],[f3153,f3102,f3091,f3165])). 29.71/29.92 tff(f3171,plain,( 29.71/29.92 $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK7))),0) | (~spl25_0 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f508,f3092])). 29.71/29.92 tff(f3172,plain,( 29.71/29.92 $less(tb2t(t2tb(sK6)),0) | (~spl25_0 | ~spl25_52 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f3171,f710])). 29.71/29.92 tff(f3173,plain,( 29.71/29.92 $less(sK6,0) | (~spl25_0 | ~spl25_52 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f3172,f359])). 29.71/29.92 tff(f3174,plain,( 29.71/29.92 $false | (~spl25_0 | ~spl25_33 | ~spl25_52 | ~spl25_222)), 29.71/29.92 inference(subsumption_resolution,[],[f3173,f620])). 29.71/29.92 tff(f3175,plain,( 29.71/29.92 ~spl25_0 | spl25_33 | ~spl25_52 | ~spl25_222), 29.71/29.92 inference(AVATAR_contradiction_clause,[],[f3174,f3091,f709,f619,f507])). 29.71/29.92 tff(f3176,plain,( 29.71/29.92 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK7)))) | (~spl25_2 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f514,f3092])). 29.71/29.92 tff(f3177,plain,( 29.71/29.92 $less(sK6,tb2t(t2tb(sK6))) | (~spl25_2 | ~spl25_52 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f3176,f710])). 29.71/29.92 tff(f3178,plain,( 29.71/29.92 $less(sK6,sK6) | (~spl25_2 | ~spl25_52 | ~spl25_222)), 29.71/29.92 inference(forward_demodulation,[],[f3177,f359])). 29.71/29.92 tff(f3179,plain,( 29.71/29.92 $false | (~spl25_2 | ~spl25_52 | ~spl25_109 | ~spl25_222)), 29.71/29.92 inference(subsumption_resolution,[],[f3178,f1619])). 29.71/29.92 tff(f3180,plain,( 29.71/29.92 ~spl25_2 | ~spl25_52 | spl25_109 | ~spl25_222), 29.71/29.92 inference(AVATAR_contradiction_clause,[],[f3179,f3091,f1618,f709,f513])). 29.71/29.92 tff(f3184,plain,( 29.71/29.92 $false), 29.71/29.92 inference(AVATAR_sat_refutation,[],[f515,f522,f529,f536,f543,f550,f557,f564,f565,f572,f579,f586,f593,f600,f607,f614,f621,f628,f635,f642,f643,f650,f657,f664,f665,f666,f667,f674,f675,f683,f699,f711,f764,f813,f957,f965,f973,f986,f993,f1000,f1001,f1003,f1005,f1007,f1077,f1085,f1093,f1106,f1113,f1114,f1116,f1118,f1120,f1155,f1162,f1208,f1215,f1222,f1229,f1369,f1626,f1631,f1639,f1669,f1677,f1685,f1745,f1749,f1750,f1756,f1758,f1760,f1964,f1968,f1969,f1970,f2228,f2253,f2278,f2297,f2308,f2313,f2318,f2361,f2371,f2404,f2415,f2420,f2425,f2462,f2467,f2472,f2530,f2535,f2563,f2568,f2573,f2582,f2599,f2601,f2603,f2634,f2636,f2638,f2689,f2870,f2882,f2890,f2921,f3099,f3107,f3123,f3127,f3133,f3136,f3141,f3146,f3149,f3151,f3160,f3167,f3175,f3180])). 29.71/29.92 % SZS output end Proof for theBenchmark 29.71/29.92 % ------------------------------ 29.71/29.92 % Version: Vampire 4.1 for CASC J8 Entry 29.71/29.92 % Termination reason: Refutation 29.71/29.92 29.71/29.92 % Memory used [KB]: 3837 29.71/29.92 % Time elapsed: 0.128 s 29.71/29.92 % ------------------------------ 29.71/29.92 % ------------------------------ 29.71/29.92 % Success in time 29.67 s 29.71/29.92 EOF