0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.34 % Computer : n003.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 04:14:36 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 This is a TFF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.36 % (32407)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (32413)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.20/0.42 % (32409)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.20/0.42 % (32412)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.20/0.42 % (32414)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.20/0.43 % (32411)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.20/0.43 % (32415)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.20/0.44 % (32410)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.20/0.44 % (32408)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 3.76/0.85 % (32410)First to succeed. 4.00/0.87 % (32410)Refutation found. Thanks to Tanya! 4.00/0.87 % SZS status Theorem for theBenchmark 4.00/0.87 % SZS output start Proof for theBenchmark 4.00/0.87 tff(type_def_5, type, uni: $tType). 4.00/0.87 tff(type_def_6, type, ty: $tType). 4.00/0.87 tff(type_def_7, type, bool1: $tType). 4.00/0.87 tff(type_def_8, type, tuple02: $tType). 4.00/0.87 tff(type_def_9, type, elt6: $tType). 4.00/0.87 tff(type_def_10, type, array_elt3: $tType). 4.00/0.87 tff(type_def_11, type, map_int_elt3: $tType). 4.00/0.87 tff(func_def_0, type, witness1: (ty) > uni). 4.00/0.87 tff(func_def_1, type, int: ty). 4.00/0.87 tff(func_def_2, type, real: ty). 4.00/0.87 tff(func_def_3, type, bool: ty). 4.00/0.87 tff(func_def_4, type, true1: bool1). 4.00/0.87 tff(func_def_5, type, false1: bool1). 4.00/0.87 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 4.00/0.87 tff(func_def_7, type, tuple0: ty). 4.00/0.87 tff(func_def_8, type, tuple03: tuple02). 4.00/0.87 tff(func_def_9, type, qtmark: ty). 4.00/0.87 tff(func_def_10, type, map: (ty * ty) > ty). 4.00/0.87 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 4.00/0.87 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 4.00/0.87 tff(func_def_13, type, const: (ty * ty * uni) > uni). 4.00/0.87 tff(func_def_14, type, array: (ty) > ty). 4.00/0.87 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 4.00/0.87 tff(func_def_16, type, length1: (ty * uni) > $int). 4.00/0.87 tff(func_def_17, type, elts: (ty * uni) > uni). 4.00/0.87 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 4.00/0.87 tff(func_def_19, type, t2tb: ($int) > uni). 4.00/0.87 tff(func_def_20, type, tb2t: (uni) > $int). 4.00/0.87 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 4.00/0.87 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 4.00/0.87 tff(func_def_23, type, elt7: ty). 4.00/0.87 tff(func_def_24, type, t2tb10: (array_elt3) > uni). 4.00/0.87 tff(func_def_25, type, tb2t10: (uni) > array_elt3). 4.00/0.87 tff(func_def_26, type, t2tb11: (elt6) > uni). 4.00/0.87 tff(func_def_27, type, tb2t11: (uni) > elt6). 4.00/0.87 tff(func_def_28, type, ref: (ty) > ty). 4.00/0.87 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 4.00/0.87 tff(func_def_30, type, contents: (ty * uni) > uni). 4.00/0.87 tff(func_def_31, type, occ1: (ty * uni * uni * $int * $int) > $int). 4.00/0.87 tff(func_def_32, type, abs: ($int) > $int). 4.00/0.87 tff(func_def_33, type, div: ($int * $int) > $int). 4.00/0.87 tff(func_def_34, type, mod: ($int * $int) > $int). 4.00/0.87 tff(func_def_35, type, min: ($int * $int) > $int). 4.00/0.87 tff(func_def_36, type, max: ($int * $int) > $int). 4.00/0.87 tff(func_def_37, type, t2tb12: (map_int_elt3) > uni). 4.00/0.87 tff(func_def_38, type, tb2t12: (uni) > map_int_elt3). 4.00/0.87 tff(func_def_45, type, sK0: $int). 4.00/0.87 tff(func_def_46, type, sK1: map_int_elt3). 4.00/0.87 tff(func_def_47, type, sK2: $int). 4.00/0.87 tff(func_def_48, type, sK3: (array_elt3) > $int). 4.00/0.87 tff(func_def_49, type, sK4: (array_elt3) > $int). 4.00/0.87 tff(func_def_50, type, sK5: (array_elt3 * $int * $int) > $int). 4.00/0.87 tff(func_def_51, type, sK6: (array_elt3 * $int * $int) > $int). 4.00/0.87 tff(func_def_52, type, sK7: (ty * uni * uni * $int * $int) > uni). 4.00/0.87 tff(func_def_53, type, sK8: (ty * uni * uni * $int * $int) > $int). 4.00/0.87 tff(func_def_54, type, sK9: (ty * uni * uni * $int * $int) > $int). 4.00/0.87 tff(func_def_55, type, sK10: (ty * uni * uni * $int * $int) > $int). 4.00/0.87 tff(func_def_56, type, sK11: (ty * uni * uni * $int * $int * $int) > $int). 4.00/0.87 tff(func_def_57, type, sK12: (ty * uni * uni * $int * $int) > $int). 4.00/0.87 tff(func_def_58, type, sK13: (ty * uni * uni * $int * $int * $int * $int) > $int). 4.00/0.87 tff(pred_def_1, type, sort1: (ty * uni) > $o). 4.00/0.87 tff(pred_def_2, type, le4: (elt6 * elt6) > $o). 4.00/0.87 tff(pred_def_3, type, sorted_sub4: (array_elt3 * $int * $int) > $o). 4.00/0.87 tff(pred_def_4, type, sorted4: (array_elt3) > $o). 4.00/0.87 tff(pred_def_5, type, permut2: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_6, type, map_eq_sub1: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_7, type, array_eq_sub1: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_8, type, array_eq: (ty * uni * uni) > $o). 4.00/0.87 tff(pred_def_9, type, exchange2: (ty * uni * uni * $int * $int * $int * $int) > $o). 4.00/0.87 tff(pred_def_10, type, exchange3: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_11, type, permut3: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_12, type, permut_sub1: (ty * uni * uni * $int * $int) > $o). 4.00/0.87 tff(pred_def_13, type, permut_all: (ty * uni * uni) > $o). 4.00/0.87 tff(pred_def_16, type, sP14: ($int * array_elt3 * $int) > $o). 4.00/0.87 tff(pred_def_17, type, sP15: ($int * $int * ty * uni * uni) > $o). 4.00/0.87 tff(f6969,plain,( 4.00/0.87 $false), 4.00/0.87 inference(avatar_smt_refutation,[],[f537,f541,f545,f549,f581,f585,f589,f593,f597,f601,f605,f637,f641,f645,f649,f653,f657,f661,f674,f678,f691,f695,f702,f706,f712,f728,f746,f750,f751,f752,f762,f766,f770,f775,f784,f789,f791,f793,f811,f833,f837,f841,f845,f849,f853,f860,f985,f1010,f1014,f1018,f1022,f1026,f1030,f1117,f1155,f1159,f1163,f1164,f1165,f1186,f1190,f1194,f1198,f1202,f1206,f1213,f1216,f1234,f1235,f1256,f1260,f1264,f1268,f1272,f1276,f1636,f1640,f1673,f1677,f1681,f1685,f1689,f1693,f1697,f1701,f1725,f1729,f1733,f1737,f1741,f1745,f1752,f1776,f1780,f1781,f1782,f2002,f2020,f2024,f2025,f2026,f2107,f2111,f2115,f2119,f2123,f2127,f2131,f2135,f2145,f2163,f2167,f2168,f2169,f2183,f2187,f2191,f2196,f2210,f2228,f2232,f2236,f2240,f2244,f2248,f2253,f2282,f2286,f2308,f2312,f2316,f2320,f2324,f2328,f2335,f2357,f2361,f2365,f2369,f2373,f2377,f2518,f2542,f2546,f2550,f2554,f2558,f2562,f2659,f2697,f2701,f2705,f2706,f2707,f2728,f2732,f2736,f2740,f2744,f2748,f2755,f2758,f2776,f2777,f2791,f2792,f2793,f2813,f2817,f2821,f2825,f2829,f2833,f2843,f2844,f2845,f2893,f2904,f2905,f2907,f3185,f3186,f3187,f3188,f3189,f3190,f3191,f3192,f3453,f3455,f3551,f3553,f3564,f3591,f3612,f3621,f3642,f3646,f3650,f3654,f3655,f3656,f3678,f3682,f3686,f3690,f3694,f3698,f3702,f3724,f3728,f3732,f3736,f3740,f3744,f3751,f3773,f3777,f3781,f3785,f3789,f3793,f3800,f3861,f3865,f3869,f3870,f3871,f3890,f3894,f3898,f3902,f3906,f3910,f3914,f3921,f3951,f3955,f3959,f3963,f3967,f3971,f4046,f4050,f4054,f4058,f4062,f4066,f4071,f4166,f4170,f4203,f4207,f4211,f4215,f4219,f4223,f4227,f4231,f4257,f4261,f4265,f4269,f4273,f4277,f4284,f4310,f4314,f4315,f4316,f4317,f4318,f4322,f4353,f4371,f4375,f4376,f4377,f4421,f4425,f4429,f4430,f4431,f4450,f4454,f4458,f4462,f4466,f4470,f4474,f4481,f4503,f4507,f4511,f4515,f4519,f4523,f4600,f4684,f4702,f4706,f4710,f4714,f4718,f4722,f4727,f4872,f4887,f5032,f5036,f5064,f5068,f5072,f5076,f5080,f5084,f5106,f5110,f5114,f5118,f5122,f5126,f5141,f5142,f5157,f5158,f5229,f5230,f5244,f5245,f5311,f5329,f5333,f5337,f5341,f5345,f5349,f5354,f5412,f5419,f5421,f5425,f5429,f5433,f5437,f5438,f5439,f5440,f5441,f5442,f5443,f5444,f5445,f5446,f5447,f5451,f5452,f5469,f5470,f5471,f5472,f5473,f5474,f5495,f5499,f5503,f5507,f5511,f5515,f5522,f5542,f5546,f5550,f5554,f5558,f5562,f5566,f5587,f5594,f5599,f5627,f5649,f5653,f5657,f5661,f5665,f5669,f5673,f5679,f5732,f5736,f5740,f5744,f5748,f5752,f5756,f5789,f5793,f5797,f5801,f5805,f5809,f5813,f5863,f5867,f5900,f5904,f5908,f5912,f5916,f5920,f5924,f5941,f5961,f5965,f5969,f5970,f5971,f5994,f5998,f6002,f6006,f6010,f6014,f6021,f6048,f6052,f6056,f6060,f6064,f6068,f6072,f6076,f6140,f6142,f6195,f6199,f6347,f6365,f6369,f6370,f6371,f6512,f6516,f6520,f6524,f6528,f6532,f6539,f6638,f6659,f6663,f6667,f6671,f6675,f6679,f6693,f6779,f6800,f6804,f6808,f6812,f6813,f6814,f6836,f6840,f6844,f6848,f6852,f6856,f6860,f6881,f6885,f6889,f6893,f6897,f6901,f6908,f6930,f6934,f6938,f6942,f6946,f6950,f6957,f6964,f6968])). 4.00/0.87 tff(f6968,plain,( 4.00/0.87 ~spl16_304 | ~spl16_437 | spl16_111), 4.00/0.87 inference(avatar_split_clause,[],[f6960,f2194,f6966,f5414])). 4.00/0.87 tff(f5414,plain,( 4.00/0.87 spl16_304 <=> sort1(map(int,elt7),t2tb12(sK1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_304])])). 4.00/0.87 tff(f6966,plain,( 4.00/0.87 spl16_437 <=> le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_437])])). 4.00/0.87 tff(f2194,plain,( 4.00/0.87 spl16_111 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_111])])). 4.00/0.87 tff(f6960,plain,( 4.00/0.87 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | ~sort1(map(int,elt7),t2tb12(sK1)) | spl16_111), 4.00/0.87 inference(superposition,[],[f2195,f433])). 4.00/0.87 tff(f433,plain,( 4.00/0.87 ( ! [X2 : uni,X0 : ty,X1 : $int] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2)) )), 4.00/0.87 inference(cnf_transformation,[],[f270])). 4.00/0.87 tff(f270,plain,( 4.00/0.87 ! [X0 : ty,X1 : $int,X2 : uni] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2))), 4.00/0.87 inference(ennf_transformation,[],[f202])). 4.00/0.87 tff(f202,plain,( 4.00/0.87 ! [X0 : ty,X1 : $int,X2 : uni] : (sort1(map(int,X0),X2) => elts(X0,mk_array1(X0,X1,X2)) = X2)), 4.00/0.87 inference(rectify,[],[f40])). 4.00/0.87 tff(f40,axiom,( 4.00/0.87 ! [X0 : ty,X4 : $int,X13 : uni] : (sort1(map(int,X0),X13) => elts(X0,mk_array1(X0,X4,X13)) = X13)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',elts_def1)). 4.00/0.87 tff(f2195,plain,( 4.00/0.87 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl16_111), 4.00/0.87 inference(avatar_component_clause,[],[f2194])). 4.00/0.87 tff(f6964,plain,( 4.00/0.87 spl16_436 | spl16_111), 4.00/0.87 inference(avatar_split_clause,[],[f6959,f2194,f6962])). 4.00/0.87 tff(f6962,plain,( 4.00/0.87 spl16_436 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_436])])). 4.00/0.87 tff(f6959,plain,( 4.00/0.87 le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl16_111), 4.00/0.87 inference(resolution,[],[f2195,f396])). 4.00/0.87 tff(f396,plain,( 4.00/0.87 ( ! [X0 : elt6,X1 : elt6] : (le4(X1,X0) | le4(X0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f169])). 4.00/0.87 tff(f169,plain,( 4.00/0.87 ! [X0 : elt6,X1 : elt6] : (le4(X1,X0) | le4(X0,X1))), 4.00/0.87 inference(rectify,[],[f22])). 4.00/0.87 tff(f22,axiom,( 4.00/0.87 ! [X7 : elt6,X8 : elt6] : (le4(X8,X7) | le4(X7,X8))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',total4)). 4.00/0.87 tff(f6957,plain,( 4.00/0.87 spl16_434 | spl16_435 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6922,f6802,f6955,f6952])). 4.00/0.87 tff(f6952,plain,( 4.00/0.87 spl16_434 <=> ! [X20 : array_elt3] : (~$less($uminus(sK2),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(abs($uminus(sK2)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK2))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_434])])). 4.00/0.87 tff(f6955,plain,( 4.00/0.87 spl16_435 <=> $less($uminus(abs($uminus(sK2))),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_435])])). 4.00/0.87 tff(f6802,plain,( 4.00/0.87 spl16_410 <=> $less($uminus(sK2),$uminus(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_410])])). 4.00/0.87 tff(f6922,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less($uminus(abs($uminus(sK2))),0) | ~$less($uminus(sK2),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(abs($uminus(sK2)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK2))))) | ~sorted4(X20)) ) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f520])). 4.00/0.87 tff(f520,plain,( 4.00/0.87 ( ! [X3 : $int,X0 : array_elt3,X4 : $int] : ($less(X4,X3) | $less(X3,0) | ~$less(X4,length1(elt7,t2tb10(X0))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(X3))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(X4)))) | ~sorted4(X0)) )), 4.00/0.87 inference(definition_unfolding,[],[f383,f428,f428])). 4.00/0.87 tff(f428,plain,( 4.00/0.87 ( ! [X2 : $int,X0 : ty,X1 : uni] : (get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))) )), 4.00/0.87 inference(cnf_transformation,[],[f197])). 4.00/0.87 tff(f197,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : $int] : get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))), 4.00/0.87 inference(rectify,[],[f15])). 4.00/0.87 tff(f15,axiom,( 4.00/0.87 ! [X0 : ty,X10 : uni,X5 : $int] : get2(X0,X10,X5) = get(X0,int,elts(X0,X10),t2tb(X5))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def)). 4.00/0.87 tff(f383,plain,( 4.00/0.87 ( ! [X3 : $int,X0 : array_elt3,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,0) | ~$less(X4,length1(elt7,t2tb10(X0))) | $less(X4,X3) | ~sorted4(X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f319])). 4.00/0.87 tff(f319,plain,( 4.00/0.87 ! [X0 : array_elt3] : ((sorted4(X0) | (~le4(tb2t11(get2(elt7,t2tb10(X0),sK3(X0))),tb2t11(get2(elt7,t2tb10(X0),sK4(X0)))) & ~$less(sK3(X0),0) & $less(sK4(X0),length1(elt7,t2tb10(X0))) & ~$less(sK4(X0),sK3(X0)))) & (! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,0) | ~$less(X4,length1(elt7,t2tb10(X0))) | $less(X4,X3)) | ~sorted4(X0)))), 4.00/0.87 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f317,f318])). 4.00/0.87 tff(f318,plain,( 4.00/0.87 ! [X0 : array_elt3] : (? [X1 : $int,X2 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) & ~$less(X1,0) & $less(X2,length1(elt7,t2tb10(X0))) & ~$less(X2,X1)) => (~le4(tb2t11(get2(elt7,t2tb10(X0),sK3(X0))),tb2t11(get2(elt7,t2tb10(X0),sK4(X0)))) & ~$less(sK3(X0),0) & $less(sK4(X0),length1(elt7,t2tb10(X0))) & ~$less(sK4(X0),sK3(X0))))), 4.00/0.87 introduced(choice_axiom,[])). 4.00/0.87 tff(f317,plain,( 4.00/0.87 ! [X0 : array_elt3] : ((sorted4(X0) | ? [X1 : $int,X2 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) & ~$less(X1,0) & $less(X2,length1(elt7,t2tb10(X0))) & ~$less(X2,X1))) & (! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,0) | ~$less(X4,length1(elt7,t2tb10(X0))) | $less(X4,X3)) | ~sorted4(X0)))), 4.00/0.87 inference(rectify,[],[f316])). 4.00/0.87 tff(f316,plain,( 4.00/0.87 ! [X0 : array_elt3] : ((sorted4(X0) | ? [X1 : $int,X2 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) & ~$less(X1,0) & $less(X2,length1(elt7,t2tb10(X0))) & ~$less(X2,X1))) & (! [X1 : $int,X2 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) | $less(X1,0) | ~$less(X2,length1(elt7,t2tb10(X0))) | $less(X2,X1)) | ~sorted4(X0)))), 4.00/0.87 inference(nnf_transformation,[],[f238])). 4.00/0.87 tff(f238,plain,( 4.00/0.87 ! [X0 : array_elt3] : (sorted4(X0) <=> ! [X1 : $int,X2 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) | $less(X1,0) | ~$less(X2,length1(elt7,t2tb10(X0))) | $less(X2,X1)))), 4.00/0.87 inference(flattening,[],[f237])). 4.00/0.87 tff(f237,plain,( 4.00/0.87 ! [X0 : array_elt3] : (sorted4(X0) <=> ! [X1 : $int,X2 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2))) | ($less(X1,0) | ~$less(X2,length1(elt7,t2tb10(X0))) | $less(X2,X1))))), 4.00/0.87 inference(ennf_transformation,[],[f162])). 4.00/0.87 tff(f162,plain,( 4.00/0.87 ! [X0 : array_elt3] : (sorted4(X0) <=> ! [X1 : $int,X2 : $int] : ((~$less(X1,0) & $less(X2,length1(elt7,t2tb10(X0))) & ~$less(X2,X1)) => le4(tb2t11(get2(elt7,t2tb10(X0),X1)),tb2t11(get2(elt7,t2tb10(X0),X2)))))), 4.00/0.87 inference(rectify,[],[f103])). 4.00/0.87 tff(f103,plain,( 4.00/0.87 ! [X0 : array_elt3] : (sorted4(X0) <=> ! [X14 : $int,X15 : $int] : ((~$less(X14,0) & $less(X15,length1(elt7,t2tb10(X0))) & ~$less(X15,X14)) => le4(tb2t11(get2(elt7,t2tb10(X0),X14)),tb2t11(get2(elt7,t2tb10(X0),X15)))))), 4.00/0.87 inference(theory_normalization,[],[f34])). 4.00/0.87 tff(f34,axiom,( 4.00/0.87 ! [X0 : array_elt3] : (sorted4(X0) <=> ! [X14 : $int,X15 : $int] : (($lesseq(0,X14) & $less(X15,length1(elt7,t2tb10(X0))) & $lesseq(X14,X15)) => le4(tb2t11(get2(elt7,t2tb10(X0),X14)),tb2t11(get2(elt7,t2tb10(X0),X15)))))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted_def3)). 4.00/0.87 tff(f6803,plain,( 4.00/0.87 ~$less($uminus(sK2),$uminus(abs($uminus(sK2)))) | spl16_410), 4.00/0.87 inference(avatar_component_clause,[],[f6802])). 4.00/0.87 tff(f6950,plain,( 4.00/0.87 spl16_433 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6915,f6802,f6948])). 4.00/0.87 tff(f6948,plain,( 4.00/0.87 spl16_433 <=> min($uminus(sK2),$uminus(abs($uminus(sK2)))) = min($uminus(abs($uminus(sK2))),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_433])])). 4.00/0.87 tff(f6915,plain,( 4.00/0.87 min($uminus(sK2),$uminus(abs($uminus(sK2)))) = min($uminus(abs($uminus(sK2))),$uminus(sK2)) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f409])). 4.00/0.87 tff(f409,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | min(X0,X1) = min(X1,X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f248])). 4.00/0.87 tff(f248,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (min(X0,X1) = min(X1,X0) | $less(X0,X1))), 4.00/0.87 inference(ennf_transformation,[],[f181])). 4.00/0.87 tff(f181,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = min(X1,X0))), 4.00/0.87 inference(rectify,[],[f112])). 4.00/0.87 tff(f112,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X7,X8) => min(X7,X8) = min(X8,X7))), 4.00/0.87 inference(theory_normalization,[],[f75])). 4.00/0.87 tff(f75,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X8,X7) => min(X7,X8) = min(X8,X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_sym)). 4.00/0.87 tff(f6946,plain,( 4.00/0.87 spl16_432 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6914,f6802,f6944])). 4.00/0.87 tff(f6944,plain,( 4.00/0.87 spl16_432 <=> max($uminus(sK2),$uminus(abs($uminus(sK2)))) = max($uminus(abs($uminus(sK2))),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_432])])). 4.00/0.87 tff(f6914,plain,( 4.00/0.87 max($uminus(sK2),$uminus(abs($uminus(sK2)))) = max($uminus(abs($uminus(sK2))),$uminus(sK2)) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f408])). 4.00/0.87 tff(f408,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max(X0,X1) = max(X1,X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f247])). 4.00/0.87 tff(f247,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (max(X0,X1) = max(X1,X0) | $less(X0,X1))), 4.00/0.87 inference(ennf_transformation,[],[f180])). 4.00/0.87 tff(f180,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = max(X1,X0))), 4.00/0.87 inference(rectify,[],[f111])). 4.00/0.87 tff(f111,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X7,X8) => max(X7,X8) = max(X8,X7))), 4.00/0.87 inference(theory_normalization,[],[f81])). 4.00/0.87 tff(f81,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X8,X7) => max(X7,X8) = max(X8,X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_sym)). 4.00/0.87 tff(f6942,plain,( 4.00/0.87 spl16_431 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6913,f6802,f6940])). 4.00/0.87 tff(f6940,plain,( 4.00/0.87 spl16_431 <=> $uminus(abs($uminus(sK2))) = min($uminus(abs($uminus(sK2))),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_431])])). 4.00/0.87 tff(f6913,plain,( 4.00/0.87 $uminus(abs($uminus(sK2))) = min($uminus(abs($uminus(sK2))),$uminus(sK2)) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f407])). 4.00/0.87 tff(f407,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | min(X0,X1) = X0) )), 4.00/0.87 inference(cnf_transformation,[],[f246])). 4.00/0.87 tff(f246,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X0 | $less(X1,X0))), 4.00/0.87 inference(ennf_transformation,[],[f179])). 4.00/0.87 tff(f179,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => min(X0,X1) = X0)), 4.00/0.87 inference(rectify,[],[f110])). 4.00/0.87 tff(f110,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X8,X7) => min(X7,X8) = X7)), 4.00/0.87 inference(theory_normalization,[],[f62])). 4.00/0.87 tff(f62,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X7,X8) => min(X7,X8) = X7)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_x)). 4.00/0.87 tff(f6938,plain,( 4.00/0.87 spl16_430 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6912,f6802,f6936])). 4.00/0.87 tff(f6936,plain,( 4.00/0.87 spl16_430 <=> $uminus(sK2) = max($uminus(abs($uminus(sK2))),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_430])])). 4.00/0.87 tff(f6912,plain,( 4.00/0.87 $uminus(sK2) = max($uminus(abs($uminus(sK2))),$uminus(sK2)) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f406])). 4.00/0.87 tff(f406,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | max(X0,X1) = X1) )), 4.00/0.87 inference(cnf_transformation,[],[f245])). 4.00/0.87 tff(f245,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 4.00/0.87 inference(ennf_transformation,[],[f178])). 4.00/0.87 tff(f178,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => max(X0,X1) = X1)), 4.00/0.87 inference(rectify,[],[f109])). 4.00/0.87 tff(f109,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X8,X7) => max(X7,X8) = X8)), 4.00/0.87 inference(theory_normalization,[],[f32])). 4.00/0.87 tff(f32,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X7,X8) => max(X7,X8) = X8)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_y)). 4.00/0.87 tff(f6934,plain,( 4.00/0.87 spl16_429 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6911,f6802,f6932])). 4.00/0.87 tff(f6932,plain,( 4.00/0.87 spl16_429 <=> $uminus(sK2) = max($uminus(sK2),$uminus(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_429])])). 4.00/0.87 tff(f6911,plain,( 4.00/0.87 $uminus(sK2) = max($uminus(sK2),$uminus(abs($uminus(sK2)))) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f405])). 4.00/0.87 tff(f405,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max(X0,X1) = X0) )), 4.00/0.87 inference(cnf_transformation,[],[f244])). 4.00/0.87 tff(f244,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 4.00/0.87 inference(ennf_transformation,[],[f177])). 4.00/0.87 tff(f177,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = X0)), 4.00/0.87 inference(rectify,[],[f108])). 4.00/0.87 tff(f108,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X7,X8) => max(X7,X8) = X7)), 4.00/0.87 inference(theory_normalization,[],[f12])). 4.00/0.87 tff(f12,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X8,X7) => max(X7,X8) = X7)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_x)). 4.00/0.87 tff(f6930,plain,( 4.00/0.87 spl16_428 | spl16_410), 4.00/0.87 inference(avatar_split_clause,[],[f6910,f6802,f6928])). 4.00/0.87 tff(f6928,plain,( 4.00/0.87 spl16_428 <=> $uminus(abs($uminus(sK2))) = min($uminus(sK2),$uminus(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_428])])). 4.00/0.87 tff(f6910,plain,( 4.00/0.87 $uminus(abs($uminus(sK2))) = min($uminus(sK2),$uminus(abs($uminus(sK2)))) | spl16_410), 4.00/0.87 inference(resolution,[],[f6803,f404])). 4.00/0.87 tff(f404,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | min(X0,X1) = X1) )), 4.00/0.87 inference(cnf_transformation,[],[f243])). 4.00/0.87 tff(f243,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X1 | $less(X0,X1))), 4.00/0.87 inference(ennf_transformation,[],[f176])). 4.00/0.87 tff(f176,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = X1)), 4.00/0.87 inference(rectify,[],[f107])). 4.00/0.87 tff(f107,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X7,X8) => min(X7,X8) = X8)), 4.00/0.87 inference(theory_normalization,[],[f29])). 4.00/0.87 tff(f29,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X8,X7) => min(X7,X8) = X8)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_y)). 4.00/0.87 tff(f6908,plain,( 4.00/0.87 spl16_426 | spl16_427 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6875,f6834,f6906,f6903])). 4.00/0.87 tff(f6903,plain,( 4.00/0.87 spl16_426 <=> ! [X20 : array_elt3] : (~$less(sK2,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(abs($uminus(sK2)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_426])])). 4.00/0.87 tff(f6906,plain,( 4.00/0.87 spl16_427 <=> $less(abs(abs($uminus(sK2))),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_427])])). 4.00/0.87 tff(f6834,plain,( 4.00/0.87 spl16_413 <=> $less(sK2,abs(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_413])])). 4.00/0.87 tff(f6875,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs(abs($uminus(sK2))),0) | ~$less(sK2,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(abs($uminus(sK2)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))) | ~sorted4(X20)) ) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f520])). 4.00/0.87 tff(f6835,plain,( 4.00/0.87 ~$less(sK2,abs(abs($uminus(sK2)))) | spl16_413), 4.00/0.87 inference(avatar_component_clause,[],[f6834])). 4.00/0.87 tff(f6901,plain,( 4.00/0.87 spl16_425 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6868,f6834,f6899])). 4.00/0.87 tff(f6899,plain,( 4.00/0.87 spl16_425 <=> min(sK2,abs(abs($uminus(sK2)))) = min(abs(abs($uminus(sK2))),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_425])])). 4.00/0.87 tff(f6868,plain,( 4.00/0.87 min(sK2,abs(abs($uminus(sK2)))) = min(abs(abs($uminus(sK2))),sK2) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f409])). 4.00/0.87 tff(f6897,plain,( 4.00/0.87 spl16_424 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6867,f6834,f6895])). 4.00/0.87 tff(f6895,plain,( 4.00/0.87 spl16_424 <=> max(sK2,abs(abs($uminus(sK2)))) = max(abs(abs($uminus(sK2))),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_424])])). 4.00/0.87 tff(f6867,plain,( 4.00/0.87 max(sK2,abs(abs($uminus(sK2)))) = max(abs(abs($uminus(sK2))),sK2) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f408])). 4.00/0.87 tff(f6893,plain,( 4.00/0.87 spl16_423 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6866,f6834,f6891])). 4.00/0.87 tff(f6891,plain,( 4.00/0.87 spl16_423 <=> abs(abs($uminus(sK2))) = min(abs(abs($uminus(sK2))),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_423])])). 4.00/0.87 tff(f6866,plain,( 4.00/0.87 abs(abs($uminus(sK2))) = min(abs(abs($uminus(sK2))),sK2) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f407])). 4.00/0.87 tff(f6889,plain,( 4.00/0.87 spl16_422 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6865,f6834,f6887])). 4.00/0.87 tff(f6887,plain,( 4.00/0.87 spl16_422 <=> sK2 = max(abs(abs($uminus(sK2))),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_422])])). 4.00/0.87 tff(f6865,plain,( 4.00/0.87 sK2 = max(abs(abs($uminus(sK2))),sK2) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f406])). 4.00/0.87 tff(f6885,plain,( 4.00/0.87 spl16_421 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6864,f6834,f6883])). 4.00/0.87 tff(f6883,plain,( 4.00/0.87 spl16_421 <=> sK2 = max(sK2,abs(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_421])])). 4.00/0.87 tff(f6864,plain,( 4.00/0.87 sK2 = max(sK2,abs(abs($uminus(sK2)))) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f405])). 4.00/0.87 tff(f6881,plain,( 4.00/0.87 spl16_420 | spl16_413), 4.00/0.87 inference(avatar_split_clause,[],[f6863,f6834,f6879])). 4.00/0.87 tff(f6879,plain,( 4.00/0.87 spl16_420 <=> abs(abs($uminus(sK2))) = min(sK2,abs(abs($uminus(sK2))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_420])])). 4.00/0.87 tff(f6863,plain,( 4.00/0.87 abs(abs($uminus(sK2))) = min(sK2,abs(abs($uminus(sK2)))) | spl16_413), 4.00/0.87 inference(resolution,[],[f6835,f404])). 4.00/0.87 tff(f6860,plain,( 4.00/0.87 spl16_419 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6821,f6798,f6858])). 4.00/0.87 tff(f6858,plain,( 4.00/0.87 spl16_419 <=> min(abs($uminus(sK2)),$uminus(sK2)) = min($uminus(sK2),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_419])])). 4.00/0.87 tff(f6798,plain,( 4.00/0.87 spl16_409 <=> $less(abs($uminus(sK2)),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_409])])). 4.00/0.87 tff(f6821,plain,( 4.00/0.87 min(abs($uminus(sK2)),$uminus(sK2)) = min($uminus(sK2),abs($uminus(sK2))) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f409])). 4.00/0.87 tff(f6799,plain,( 4.00/0.87 ~$less(abs($uminus(sK2)),$uminus(sK2)) | spl16_409), 4.00/0.87 inference(avatar_component_clause,[],[f6798])). 4.00/0.87 tff(f6856,plain,( 4.00/0.87 spl16_418 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6820,f6798,f6854])). 4.00/0.87 tff(f6854,plain,( 4.00/0.87 spl16_418 <=> max(abs($uminus(sK2)),$uminus(sK2)) = max($uminus(sK2),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_418])])). 4.00/0.87 tff(f6820,plain,( 4.00/0.87 max(abs($uminus(sK2)),$uminus(sK2)) = max($uminus(sK2),abs($uminus(sK2))) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f408])). 4.00/0.87 tff(f6852,plain,( 4.00/0.87 spl16_417 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6819,f6798,f6850])). 4.00/0.87 tff(f6850,plain,( 4.00/0.87 spl16_417 <=> $uminus(sK2) = min($uminus(sK2),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_417])])). 4.00/0.87 tff(f6819,plain,( 4.00/0.87 $uminus(sK2) = min($uminus(sK2),abs($uminus(sK2))) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f407])). 4.00/0.87 tff(f6848,plain,( 4.00/0.87 spl16_416 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6818,f6798,f6846])). 4.00/0.87 tff(f6846,plain,( 4.00/0.87 spl16_416 <=> abs($uminus(sK2)) = max($uminus(sK2),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_416])])). 4.00/0.87 tff(f6818,plain,( 4.00/0.87 abs($uminus(sK2)) = max($uminus(sK2),abs($uminus(sK2))) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f406])). 4.00/0.87 tff(f6844,plain,( 4.00/0.87 spl16_415 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6817,f6798,f6842])). 4.00/0.87 tff(f6842,plain,( 4.00/0.87 spl16_415 <=> abs($uminus(sK2)) = max(abs($uminus(sK2)),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_415])])). 4.00/0.87 tff(f6817,plain,( 4.00/0.87 abs($uminus(sK2)) = max(abs($uminus(sK2)),$uminus(sK2)) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f405])). 4.00/0.87 tff(f6840,plain,( 4.00/0.87 spl16_414 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6816,f6798,f6838])). 4.00/0.87 tff(f6838,plain,( 4.00/0.87 spl16_414 <=> $uminus(sK2) = min(abs($uminus(sK2)),$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_414])])). 4.00/0.87 tff(f6816,plain,( 4.00/0.87 $uminus(sK2) = min(abs($uminus(sK2)),$uminus(sK2)) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f404])). 4.00/0.87 tff(f6836,plain,( 4.00/0.87 spl16_145 | ~spl16_413 | spl16_409), 4.00/0.87 inference(avatar_split_clause,[],[f6815,f6798,f6834,f2695])). 4.00/0.87 tff(f2695,plain,( 4.00/0.87 spl16_145 <=> $less(sK2,abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_145])])). 4.00/0.87 tff(f6815,plain,( 4.00/0.87 ~$less(sK2,abs(abs($uminus(sK2)))) | $less(sK2,abs($uminus(sK2))) | spl16_409), 4.00/0.87 inference(resolution,[],[f6799,f419])). 4.00/0.87 tff(f419,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,$uminus(X1)) | ~$less(X1,abs(X0)) | $less(X1,X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f321])). 4.00/0.87 tff(f321,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs(X0))) & (~$less(X1,abs(X0)) | $less(X0,$uminus(X1)) | $less(X1,X0)))), 4.00/0.87 inference(flattening,[],[f320])). 4.00/0.87 tff(f320,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs(X0))) & (~$less(X1,abs(X0)) | ($less(X0,$uminus(X1)) | $less(X1,X0))))), 4.00/0.87 inference(nnf_transformation,[],[f190])). 4.00/0.87 tff(f190,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : ((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) <=> ~$less(X1,abs(X0)))), 4.00/0.87 inference(rectify,[],[f120])). 4.00/0.87 tff(f120,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((~$less(X7,$uminus(X8)) & ~$less(X8,X7)) <=> ~$less(X8,abs(X7)))), 4.00/0.87 inference(theory_normalization,[],[f8])). 4.00/0.87 tff(f8,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (($lesseq($uminus(X8),X7) & $lesseq(X7,X8)) <=> $lesseq(abs(X7),X8))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le)). 4.00/0.87 tff(f6814,plain,( 4.00/0.87 spl16_411 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6785,f6777,f6806])). 4.00/0.87 tff(f6806,plain,( 4.00/0.87 spl16_411 <=> abs($uminus(sK2)) = min(abs($uminus(sK2)),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_411])])). 4.00/0.87 tff(f6777,plain,( 4.00/0.87 spl16_408 <=> $less(abs($uminus(sK2)),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_408])])). 4.00/0.87 tff(f6785,plain,( 4.00/0.87 abs($uminus(sK2)) = min(abs($uminus(sK2)),abs($uminus(sK2))) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f407])). 4.00/0.87 tff(f6778,plain,( 4.00/0.87 ~$less(abs($uminus(sK2)),abs($uminus(sK2))) | spl16_408), 4.00/0.87 inference(avatar_component_clause,[],[f6777])). 4.00/0.87 tff(f6813,plain,( 4.00/0.87 spl16_412 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6784,f6777,f6810])). 4.00/0.87 tff(f6810,plain,( 4.00/0.87 spl16_412 <=> abs($uminus(sK2)) = max(abs($uminus(sK2)),abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_412])])). 4.00/0.87 tff(f6784,plain,( 4.00/0.87 abs($uminus(sK2)) = max(abs($uminus(sK2)),abs($uminus(sK2))) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f406])). 4.00/0.87 tff(f6812,plain,( 4.00/0.87 spl16_412 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6783,f6777,f6810])). 4.00/0.87 tff(f6783,plain,( 4.00/0.87 abs($uminus(sK2)) = max(abs($uminus(sK2)),abs($uminus(sK2))) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f405])). 4.00/0.87 tff(f6808,plain,( 4.00/0.87 spl16_411 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6782,f6777,f6806])). 4.00/0.87 tff(f6782,plain,( 4.00/0.87 abs($uminus(sK2)) = min(abs($uminus(sK2)),abs($uminus(sK2))) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f404])). 4.00/0.87 tff(f6804,plain,( 4.00/0.87 ~spl16_410 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6781,f6777,f6802])). 4.00/0.87 tff(f6781,plain,( 4.00/0.87 ~$less($uminus(sK2),$uminus(abs($uminus(sK2)))) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f421])). 4.00/0.87 tff(f421,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X1,abs(X0)) | ~$less(X0,$uminus(X1))) )), 4.00/0.87 inference(cnf_transformation,[],[f321])). 4.00/0.87 tff(f6800,plain,( 4.00/0.87 ~spl16_409 | spl16_408), 4.00/0.87 inference(avatar_split_clause,[],[f6780,f6777,f6798])). 4.00/0.87 tff(f6780,plain,( 4.00/0.87 ~$less(abs($uminus(sK2)),$uminus(sK2)) | spl16_408), 4.00/0.87 inference(resolution,[],[f6778,f420])). 4.00/0.87 tff(f420,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X1,abs(X0)) | ~$less(X1,X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f321])). 4.00/0.87 tff(f6779,plain,( 4.00/0.87 ~spl16_408 | ~spl16_148), 4.00/0.87 inference(avatar_split_clause,[],[f6774,f2726,f6777])). 4.00/0.87 tff(f2726,plain,( 4.00/0.87 spl16_148 <=> abs($uminus(sK2)) = min(sK2,abs($uminus(sK2)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_148])])). 4.00/0.87 tff(f6774,plain,( 4.00/0.87 ~$less(abs($uminus(sK2)),abs($uminus(sK2))) | ~spl16_148), 4.00/0.87 inference(superposition,[],[f394,f2727])). 4.00/0.87 tff(f2727,plain,( 4.00/0.87 abs($uminus(sK2)) = min(sK2,abs($uminus(sK2))) | ~spl16_148), 4.00/0.87 inference(avatar_component_clause,[],[f2726])). 4.00/0.87 tff(f394,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : (~$less(X1,min(X0,X1))) )), 4.00/0.87 inference(cnf_transformation,[],[f168])). 4.00/0.87 tff(f168,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(X0,min(X0,X1)) & ~$less(X1,min(X0,X1)))), 4.00/0.87 inference(rectify,[],[f105])). 4.00/0.87 tff(f105,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(X7,min(X7,X8)) & ~$less(X8,min(X7,X8)))), 4.00/0.87 inference(theory_normalization,[],[f42])). 4.00/0.87 tff(f42,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(min(X7,X8),X7) & $lesseq(min(X7,X8),X8))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_is_le)). 4.00/0.87 tff(f6693,plain,( 4.00/0.87 spl16_3 | spl16_407 | spl16_3), 4.00/0.87 inference(avatar_split_clause,[],[f6688,f543,f6691,f543])). 4.00/0.87 tff(f6691,plain,( 4.00/0.87 spl16_407 <=> ! [X2 : uni,X0 : ty,X1 : uni] : ($less(length1(X0,X1),sK2) | array_eq_sub1(X0,X1,X2,sK2,sK2) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),sK2,sK2) | length1(X0,X1) != length1(X0,X2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_407])])). 4.00/0.87 tff(f543,plain,( 4.00/0.87 spl16_3 <=> $less(sK2,0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_3])])). 4.00/0.87 tff(f6688,plain,( 4.00/0.87 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($less(length1(X0,X1),sK2) | length1(X0,X1) != length1(X0,X2) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),sK2,sK2) | array_eq_sub1(X0,X1,X2,sK2,sK2) | $less(sK2,0)) ) | spl16_3), 4.00/0.87 inference(factoring,[],[f616])). 4.00/0.87 tff(f616,plain,( 4.00/0.87 ( ! [X14 : uni,X15 : $int,X12 : ty,X13 : uni] : ($less(length1(X12,X13),sK2) | length1(X12,X13) != length1(X12,X14) | ~map_eq_sub1(X12,elts(X12,X13),elts(X12,X14),X15,sK2) | array_eq_sub1(X12,X13,X14,X15,sK2) | $less(length1(X12,X13),X15) | $less(X15,0)) ) | spl16_3), 4.00/0.87 inference(resolution,[],[f544,f481])). 4.00/0.87 tff(f481,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X4,0) | length1(X0,X1) != length1(X0,X2) | $less(length1(X0,X1),X4) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) | array_eq_sub1(X0,X1,X2,X3,X4) | $less(length1(X0,X1),X3) | $less(X3,0)) )), 4.00/0.87 inference(cnf_transformation,[],[f343])). 4.00/0.87 tff(f343,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (((length1(X0,X1) = length1(X0,X2) & ~$less(length1(X0,X1),X4) & map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) & ~$less(X4,0) & ~$less(length1(X0,X1),X3) & ~$less(X3,0)) | ~array_eq_sub1(X0,X1,X2,X3,X4)) & (array_eq_sub1(X0,X1,X2,X3,X4) | length1(X0,X1) != length1(X0,X2) | $less(length1(X0,X1),X4) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) | $less(X4,0) | $less(length1(X0,X1),X3) | $less(X3,0)))), 4.00/0.87 inference(flattening,[],[f342])). 4.00/0.87 tff(f342,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (((length1(X0,X1) = length1(X0,X2) & ~$less(length1(X0,X1),X4) & map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) & ~$less(X4,0) & ~$less(length1(X0,X1),X3) & ~$less(X3,0)) | ~array_eq_sub1(X0,X1,X2,X3,X4)) & (array_eq_sub1(X0,X1,X2,X3,X4) | (length1(X0,X1) != length1(X0,X2) | $less(length1(X0,X1),X4) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) | $less(X4,0) | $less(length1(X0,X1),X3) | $less(X3,0))))), 4.00/0.87 inference(nnf_transformation,[],[f220])). 4.00/0.87 tff(f220,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((length1(X0,X1) = length1(X0,X2) & ~$less(length1(X0,X1),X4) & map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),X3,X4) & ~$less(X4,0) & ~$less(length1(X0,X1),X3) & ~$less(X3,0)) <=> array_eq_sub1(X0,X1,X2,X3,X4))), 4.00/0.87 inference(rectify,[],[f134])). 4.00/0.87 tff(f134,plain,( 4.00/0.87 ! [X0 : ty,X10 : uni,X11 : uni,X3 : $int,X4 : $int] : ((length1(X0,X10) = length1(X0,X11) & ~$less(length1(X0,X10),X4) & map_eq_sub1(X0,elts(X0,X10),elts(X0,X11),X3,X4) & ~$less(X4,0) & ~$less(length1(X0,X10),X3) & ~$less(X3,0)) <=> array_eq_sub1(X0,X10,X11,X3,X4))), 4.00/0.87 inference(theory_normalization,[],[f68])). 4.00/0.87 tff(f68,axiom,( 4.00/0.87 ! [X0 : ty,X10 : uni,X11 : uni,X3 : $int,X4 : $int] : ((length1(X0,X10) = length1(X0,X11) & $lesseq(X4,length1(X0,X10)) & map_eq_sub1(X0,elts(X0,X10),elts(X0,X11),X3,X4) & $lesseq(0,X4) & $lesseq(X3,length1(X0,X10)) & $lesseq(0,X3)) <=> array_eq_sub1(X0,X10,X11,X3,X4))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',array_eq_sub_def)). 4.00/0.87 tff(f544,plain,( 4.00/0.87 ~$less(sK2,0) | spl16_3), 4.00/0.87 inference(avatar_component_clause,[],[f543])). 4.00/0.87 tff(f6679,plain,( 4.00/0.87 spl16_406 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6645,f6636,f6677])). 4.00/0.87 tff(f6677,plain,( 4.00/0.87 spl16_406 <=> min(sK0,$uminus(sK2)) = min($uminus(sK2),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_406])])). 4.00/0.87 tff(f6636,plain,( 4.00/0.87 spl16_400 <=> $less(sK0,$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_400])])). 4.00/0.87 tff(f6645,plain,( 4.00/0.87 min(sK0,$uminus(sK2)) = min($uminus(sK2),sK0) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f409])). 4.00/0.87 tff(f6637,plain,( 4.00/0.87 ~$less(sK0,$uminus(sK2)) | spl16_400), 4.00/0.87 inference(avatar_component_clause,[],[f6636])). 4.00/0.87 tff(f6675,plain,( 4.00/0.87 spl16_405 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6644,f6636,f6673])). 4.00/0.87 tff(f6673,plain,( 4.00/0.87 spl16_405 <=> max(sK0,$uminus(sK2)) = max($uminus(sK2),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_405])])). 4.00/0.87 tff(f6644,plain,( 4.00/0.87 max(sK0,$uminus(sK2)) = max($uminus(sK2),sK0) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f408])). 4.00/0.87 tff(f6671,plain,( 4.00/0.87 spl16_404 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6643,f6636,f6669])). 4.00/0.87 tff(f6669,plain,( 4.00/0.87 spl16_404 <=> $uminus(sK2) = min($uminus(sK2),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_404])])). 4.00/0.87 tff(f6643,plain,( 4.00/0.87 $uminus(sK2) = min($uminus(sK2),sK0) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f407])). 4.00/0.87 tff(f6667,plain,( 4.00/0.87 spl16_403 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6642,f6636,f6665])). 4.00/0.87 tff(f6665,plain,( 4.00/0.87 spl16_403 <=> sK0 = max($uminus(sK2),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_403])])). 4.00/0.87 tff(f6642,plain,( 4.00/0.87 sK0 = max($uminus(sK2),sK0) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f406])). 4.00/0.87 tff(f6663,plain,( 4.00/0.87 spl16_402 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6641,f6636,f6661])). 4.00/0.87 tff(f6661,plain,( 4.00/0.87 spl16_402 <=> sK0 = max(sK0,$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_402])])). 4.00/0.87 tff(f6641,plain,( 4.00/0.87 sK0 = max(sK0,$uminus(sK2)) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f405])). 4.00/0.87 tff(f6659,plain,( 4.00/0.87 spl16_401 | spl16_400), 4.00/0.87 inference(avatar_split_clause,[],[f6640,f6636,f6657])). 4.00/0.87 tff(f6657,plain,( 4.00/0.87 spl16_401 <=> $uminus(sK2) = min(sK0,$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_401])])). 4.00/0.87 tff(f6640,plain,( 4.00/0.87 $uminus(sK2) = min(sK0,$uminus(sK2)) | spl16_400), 4.00/0.87 inference(resolution,[],[f6637,f404])). 4.00/0.87 tff(f6638,plain,( 4.00/0.87 ~spl16_400 | spl16_2 | spl16_137), 4.00/0.87 inference(avatar_split_clause,[],[f6634,f2516,f539,f6636])). 4.00/0.87 tff(f539,plain,( 4.00/0.87 spl16_2 <=> $less(sK0,0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_2])])). 4.00/0.87 tff(f2516,plain,( 4.00/0.87 spl16_137 <=> $less(0,$uminus(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_137])])). 4.00/0.87 tff(f6634,plain,( 4.00/0.87 ~$less(sK0,$uminus(sK2)) | (spl16_2 | spl16_137)), 4.00/0.87 inference(evaluation,[],[f6627])). 4.00/0.87 tff(f6627,plain,( 4.00/0.87 $less(0,0) | ~$less(sK0,$uminus(sK2)) | (spl16_2 | spl16_137)), 4.00/0.87 inference(superposition,[],[f571,f2528])). 4.00/0.87 tff(f2528,plain,( 4.00/0.87 ( ! [X2 : ty,X3 : uni,X4 : uni] : (0 = occ1(X2,X3,X4,0,$uminus(sK2))) ) | spl16_137), 4.00/0.87 inference(resolution,[],[f2517,f465])). 4.00/0.87 tff(f465,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X3,X4) | 0 = occ1(X0,X1,X2,X3,X4)) )), 4.00/0.87 inference(cnf_transformation,[],[f289])). 4.00/0.87 tff(f289,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | $less(X3,X4))), 4.00/0.87 inference(ennf_transformation,[],[f129])). 4.00/0.87 tff(f129,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X3,X4) => 0 = occ1(X0,X1,X2,X3,X4))), 4.00/0.87 inference(theory_normalization,[],[f74])). 4.00/0.87 tff(f74,axiom,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ($lesseq(X4,X3) => 0 = occ1(X0,X1,X2,X3,X4))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',occ_empty)). 4.00/0.87 tff(f2517,plain,( 4.00/0.87 ~$less(0,$uminus(sK2)) | spl16_137), 4.00/0.87 inference(avatar_component_clause,[],[f2516])). 4.00/0.87 tff(f571,plain,( 4.00/0.87 ( ! [X31 : uni,X32 : $int,X30 : ty] : ($less(0,occ1(X30,get(X30,int,X31,t2tb(sK0)),X31,0,X32)) | ~$less(sK0,X32)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f469])). 4.00/0.87 tff(f469,plain,( 4.00/0.87 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X4,X2) | $less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | ~$less(X4,X3)) )), 4.00/0.87 inference(cnf_transformation,[],[f293])). 4.00/0.87 tff(f293,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | $less(X4,X2) | ~$less(X4,X3))), 4.00/0.87 inference(flattening,[],[f292])). 4.00/0.87 tff(f292,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | ($less(X4,X2) | ~$less(X4,X3)))), 4.00/0.87 inference(ennf_transformation,[],[f217])). 4.00/0.87 tff(f217,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X4,X2) & $less(X4,X3)) => $less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)))), 4.00/0.87 inference(rectify,[],[f131])). 4.00/0.87 tff(f131,plain,( 4.00/0.87 ! [X0 : ty,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : ((~$less(X5,X3) & $less(X5,X4)) => $less(0,occ1(X0,get(X0,int,X2,t2tb(X5)),X2,X3,X4)))), 4.00/0.87 inference(theory_normalization,[],[f48])). 4.00/0.87 tff(f48,axiom,( 4.00/0.87 ! [X0 : ty,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (($lesseq(X3,X5) & $less(X5,X4)) => $less(0,occ1(X0,get(X0,int,X2,t2tb(X5)),X2,X3,X4)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',occ_pos)). 4.00/0.87 tff(f540,plain,( 4.00/0.87 ~$less(sK0,0) | spl16_2), 4.00/0.87 inference(avatar_component_clause,[],[f539])). 4.00/0.87 tff(f6539,plain,( 4.00/0.87 spl16_398 | spl16_399 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6507,f2185,f6537,f6534])). 4.00/0.87 tff(f6534,plain,( 4.00/0.87 spl16_398 <=> ! [X20 : array_elt3] : (~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_398])])). 4.00/0.87 tff(f6537,plain,( 4.00/0.87 spl16_399 <=> $less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_399])])). 4.00/0.87 tff(f2185,plain,( 4.00/0.87 spl16_109 <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_109])])). 4.00/0.87 tff(f6507,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),0) | ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | ~sorted4(X20)) ) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f520])). 4.00/0.87 tff(f2186,plain,( 4.00/0.87 ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(avatar_component_clause,[],[f2185])). 4.00/0.87 tff(f6532,plain,( 4.00/0.87 spl16_397 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6500,f2185,f6530])). 4.00/0.87 tff(f6530,plain,( 4.00/0.87 spl16_397 <=> min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_397])])). 4.00/0.87 tff(f6500,plain,( 4.00/0.87 min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f409])). 4.00/0.87 tff(f6528,plain,( 4.00/0.87 spl16_396 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6499,f2185,f6526])). 4.00/0.87 tff(f6526,plain,( 4.00/0.87 spl16_396 <=> max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_396])])). 4.00/0.87 tff(f6499,plain,( 4.00/0.87 max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f408])). 4.00/0.87 tff(f6524,plain,( 4.00/0.87 spl16_395 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6498,f2185,f6522])). 4.00/0.87 tff(f6522,plain,( 4.00/0.87 spl16_395 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_395])])). 4.00/0.87 tff(f6498,plain,( 4.00/0.87 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f407])). 4.00/0.87 tff(f6520,plain,( 4.00/0.87 spl16_394 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6497,f2185,f6518])). 4.00/0.87 tff(f6518,plain,( 4.00/0.87 spl16_394 <=> sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_394])])). 4.00/0.87 tff(f6497,plain,( 4.00/0.87 sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f406])). 4.00/0.87 tff(f6516,plain,( 4.00/0.87 spl16_393 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6496,f2185,f6514])). 4.00/0.87 tff(f6514,plain,( 4.00/0.87 spl16_393 <=> sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_393])])). 4.00/0.87 tff(f6496,plain,( 4.00/0.87 sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f405])). 4.00/0.87 tff(f6512,plain,( 4.00/0.87 spl16_392 | spl16_109), 4.00/0.87 inference(avatar_split_clause,[],[f6495,f2185,f6510])). 4.00/0.87 tff(f6510,plain,( 4.00/0.87 spl16_392 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_392])])). 4.00/0.87 tff(f6495,plain,( 4.00/0.87 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_109), 4.00/0.87 inference(resolution,[],[f2186,f404])). 4.00/0.87 tff(f6371,plain,( 4.00/0.87 spl16_390 | spl16_389), 4.00/0.87 inference(avatar_split_clause,[],[f6351,f6345,f6363])). 4.00/0.87 tff(f6363,plain,( 4.00/0.87 spl16_390 <=> $sum(sK2,0) = min($sum(sK2,0),$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_390])])). 4.00/0.87 tff(f6345,plain,( 4.00/0.87 spl16_389 <=> $less($sum(sK2,0),$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_389])])). 4.00/0.87 tff(f6351,plain,( 4.00/0.87 $sum(sK2,0) = min($sum(sK2,0),$sum(sK2,0)) | spl16_389), 4.00/0.87 inference(resolution,[],[f6346,f407])). 4.00/0.87 tff(f6346,plain,( 4.00/0.87 ~$less($sum(sK2,0),$sum(sK2,0)) | spl16_389), 4.00/0.87 inference(avatar_component_clause,[],[f6345])). 4.00/0.87 tff(f6370,plain,( 4.00/0.87 spl16_391 | spl16_389), 4.00/0.87 inference(avatar_split_clause,[],[f6350,f6345,f6367])). 4.00/0.87 tff(f6367,plain,( 4.00/0.87 spl16_391 <=> $sum(sK2,0) = max($sum(sK2,0),$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_391])])). 4.00/0.87 tff(f6350,plain,( 4.00/0.87 $sum(sK2,0) = max($sum(sK2,0),$sum(sK2,0)) | spl16_389), 4.00/0.87 inference(resolution,[],[f6346,f406])). 4.00/0.87 tff(f6369,plain,( 4.00/0.87 spl16_391 | spl16_389), 4.00/0.87 inference(avatar_split_clause,[],[f6349,f6345,f6367])). 4.00/0.87 tff(f6349,plain,( 4.00/0.87 $sum(sK2,0) = max($sum(sK2,0),$sum(sK2,0)) | spl16_389), 4.00/0.87 inference(resolution,[],[f6346,f405])). 4.00/0.87 tff(f6365,plain,( 4.00/0.87 spl16_390 | spl16_389), 4.00/0.87 inference(avatar_split_clause,[],[f6348,f6345,f6363])). 4.00/0.87 tff(f6348,plain,( 4.00/0.87 $sum(sK2,0) = min($sum(sK2,0),$sum(sK2,0)) | spl16_389), 4.00/0.87 inference(resolution,[],[f6346,f404])). 4.00/0.87 tff(f6347,plain,( 4.00/0.87 ~spl16_389 | ~spl16_359), 4.00/0.87 inference(avatar_split_clause,[],[f6343,f5906,f6345])). 4.00/0.87 tff(f5906,plain,( 4.00/0.87 spl16_359 <=> $sum(sK2,0) = max($sum(sK2,0),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_359])])). 4.00/0.87 tff(f6343,plain,( 4.00/0.87 ~$less($sum(sK2,0),$sum(sK2,0)) | ~spl16_359), 4.00/0.87 inference(superposition,[],[f393,f5907])). 4.00/0.87 tff(f5907,plain,( 4.00/0.87 $sum(sK2,0) = max($sum(sK2,0),0) | ~spl16_359), 4.00/0.87 inference(avatar_component_clause,[],[f5906])). 4.00/0.87 tff(f393,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0)) )), 4.00/0.87 inference(cnf_transformation,[],[f167])). 4.00/0.87 tff(f167,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0) & ~$less(max(X0,X1),X1))), 4.00/0.87 inference(rectify,[],[f104])). 4.00/0.87 tff(f104,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (~$less(max(X7,X8),X7) & ~$less(max(X7,X8),X8))), 4.00/0.87 inference(theory_normalization,[],[f13])). 4.00/0.87 tff(f13,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ($lesseq(X7,max(X7,X8)) & $lesseq(X8,max(X7,X8)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ge)). 4.00/0.87 tff(f6199,plain,( 4.00/0.87 spl16_386 | spl16_388 | ~spl16_357), 4.00/0.87 inference(avatar_split_clause,[],[f6186,f5898,f6197,f6190])). 4.00/0.87 tff(f6190,plain,( 4.00/0.87 spl16_386 <=> 0 = $sum(sK2,0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_386])])). 4.00/0.87 tff(f6197,plain,( 4.00/0.87 spl16_388 <=> ! [X2 : $int] : $less($uminus($sum(sK2,0)),mod(X2,$sum(sK2,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_388])])). 4.00/0.87 tff(f5898,plain,( 4.00/0.87 spl16_357 <=> $sum(sK2,0) = abs($sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_357])])). 4.00/0.87 tff(f6186,plain,( 4.00/0.87 ( ! [X2 : $int] : ($less($uminus($sum(sK2,0)),mod(X2,$sum(sK2,0))) | 0 = $sum(sK2,0)) ) | ~spl16_357), 4.00/0.87 inference(superposition,[],[f402,f5899])). 4.00/0.87 tff(f5899,plain,( 4.00/0.87 $sum(sK2,0) = abs($sum(sK2,0)) | ~spl16_357), 4.00/0.87 inference(avatar_component_clause,[],[f5898])). 4.00/0.87 tff(f402,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less($uminus(abs(X1)),mod(X0,X1)) | 0 = X1) )), 4.00/0.87 inference(cnf_transformation,[],[f241])). 4.00/0.87 tff(f241,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (($less($uminus(abs(X1)),mod(X0,X1)) & $less(mod(X0,X1),abs(X1))) | 0 = X1)), 4.00/0.87 inference(ennf_transformation,[],[f174])). 4.00/0.87 tff(f174,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less($uminus(abs(X1)),mod(X0,X1)) & $less(mod(X0,X1),abs(X1))))), 4.00/0.87 inference(rectify,[],[f76])). 4.00/0.87 tff(f76,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (0 != X8 => ($less($uminus(abs(X8)),mod(X7,X8)) & $less(mod(X7,X8),abs(X8))))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_bound)). 4.00/0.87 tff(f6195,plain,( 4.00/0.87 spl16_386 | spl16_387 | ~spl16_357), 4.00/0.87 inference(avatar_split_clause,[],[f6185,f5898,f6193,f6190])). 4.00/0.87 tff(f6193,plain,( 4.00/0.87 spl16_387 <=> ! [X1 : $int] : $less(mod(X1,$sum(sK2,0)),$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_387])])). 4.00/0.87 tff(f6185,plain,( 4.00/0.87 ( ! [X1 : $int] : ($less(mod(X1,$sum(sK2,0)),$sum(sK2,0)) | 0 = $sum(sK2,0)) ) | ~spl16_357), 4.00/0.87 inference(superposition,[],[f401,f5899])). 4.00/0.87 tff(f401,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(mod(X0,X1),abs(X1)) | 0 = X1) )), 4.00/0.87 inference(cnf_transformation,[],[f241])). 4.00/0.87 tff(f6142,plain,( 4.00/0.87 spl16_384), 4.00/0.87 inference(avatar_contradiction_clause,[],[f6141])). 4.00/0.87 tff(f6141,plain,( 4.00/0.87 $false | spl16_384), 4.00/0.87 inference(resolution,[],[f6136,f366])). 4.00/0.87 tff(f366,plain,( 4.00/0.87 ( ! [X0 : $int] : (sort1(int,t2tb(X0))) )), 4.00/0.87 inference(cnf_transformation,[],[f146])). 4.00/0.87 tff(f146,plain,( 4.00/0.87 ! [X0 : $int] : sort1(int,t2tb(X0))), 4.00/0.87 inference(rectify,[],[f80])). 4.00/0.87 tff(f80,axiom,( 4.00/0.87 ! [X7 : $int] : sort1(int,t2tb(X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort12)). 4.00/0.87 tff(f6136,plain,( 4.00/0.87 ~sort1(int,t2tb(sK2)) | spl16_384), 4.00/0.87 inference(avatar_component_clause,[],[f6135])). 4.00/0.87 tff(f6135,plain,( 4.00/0.87 spl16_384 <=> sort1(int,t2tb(sK2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_384])])). 4.00/0.87 tff(f6140,plain,( 4.00/0.87 ~spl16_384 | spl16_385 | spl16_3), 4.00/0.87 inference(avatar_split_clause,[],[f6123,f543,f6138,f6135])). 4.00/0.87 tff(f6138,plain,( 4.00/0.87 spl16_385 <=> ! [X5 : uni,X4 : uni,X7 : $int,X6 : uni,X3 : ty] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(sK2)),set(X3,int,X4,X5,X6),0,X7)) | ~sort1(int,X5) | t2tb(sK2) = X5 | ~$less(sK2,X7))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_385])])). 4.00/0.87 tff(f6123,plain,( 4.00/0.87 ( ! [X3 : ty,X6 : uni,X7 : $int,X4 : uni,X5 : uni] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(sK2)),set(X3,int,X4,X5,X6),0,X7)) | ~$less(sK2,X7) | t2tb(sK2) = X5 | ~sort1(int,t2tb(sK2)) | ~sort1(int,X5)) ) | spl16_3), 4.00/0.87 inference(superposition,[],[f627,f458])). 4.00/0.87 tff(f458,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4 | ~sort1(X0,X4) | ~sort1(X0,X3)) )), 4.00/0.87 inference(cnf_transformation,[],[f284])). 4.00/0.87 tff(f284,plain,( 4.00/0.87 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4) | ~sort1(X0,X3))), 4.00/0.87 inference(flattening,[],[f283])). 4.00/0.87 tff(f283,plain,( 4.00/0.87 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4)) | ~sort1(X0,X3))), 4.00/0.87 inference(ennf_transformation,[],[f215])). 4.00/0.87 tff(f215,plain,( 4.00/0.87 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4))))), 4.00/0.87 inference(rectify,[],[f85])). 4.00/0.87 tff(f85,axiom,( 4.00/0.87 ! [X0 : ty,X16 : ty,X2 : uni,X10 : uni,X11 : uni] : (sort1(X0,X10) => (sort1(X0,X11) => ! [X17 : uni] : (X10 != X11 => get(X16,X0,set(X16,X0,X2,X10,X17),X11) = get(X16,X0,X2,X11))))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq)). 4.00/0.87 tff(f627,plain,( 4.00/0.87 ( ! [X31 : uni,X32 : $int,X30 : ty] : ($less(0,occ1(X30,get(X30,int,X31,t2tb(sK2)),X31,0,X32)) | ~$less(sK2,X32)) ) | spl16_3), 4.00/0.87 inference(resolution,[],[f544,f469])). 4.00/0.87 tff(f6076,plain,( 4.00/0.87 spl16_383 | spl16_3 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6043,f2189,f543,f6074])). 4.00/0.87 tff(f6074,plain,( 4.00/0.87 spl16_383 <=> ! [X20 : array_elt3] : (~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_383])])). 4.00/0.87 tff(f2189,plain,( 4.00/0.87 spl16_110 <=> $less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_110])])). 4.00/0.87 tff(f6043,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(sK2,0) | ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | ~sorted4(X20)) ) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f520])). 4.00/0.87 tff(f2190,plain,( 4.00/0.87 ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl16_110), 4.00/0.87 inference(avatar_component_clause,[],[f2189])). 4.00/0.87 tff(f6072,plain,( 4.00/0.87 spl16_382 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6036,f2189,f6070])). 4.00/0.87 tff(f6070,plain,( 4.00/0.87 spl16_382 <=> min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = min(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_382])])). 4.00/0.87 tff(f6036,plain,( 4.00/0.87 min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = min(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f409])). 4.00/0.87 tff(f6068,plain,( 4.00/0.87 spl16_381 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6035,f2189,f6066])). 4.00/0.87 tff(f6066,plain,( 4.00/0.87 spl16_381 <=> max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = max(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_381])])). 4.00/0.87 tff(f6035,plain,( 4.00/0.87 max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = max(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f408])). 4.00/0.87 tff(f6064,plain,( 4.00/0.87 spl16_380 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6034,f2189,f6062])). 4.00/0.87 tff(f6062,plain,( 4.00/0.87 spl16_380 <=> sK2 = min(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_380])])). 4.00/0.87 tff(f6034,plain,( 4.00/0.87 sK2 = min(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f407])). 4.00/0.87 tff(f6060,plain,( 4.00/0.87 spl16_379 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6033,f2189,f6058])). 4.00/0.87 tff(f6058,plain,( 4.00/0.87 spl16_379 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_379])])). 4.00/0.87 tff(f6033,plain,( 4.00/0.87 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK2,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f406])). 4.00/0.87 tff(f6056,plain,( 4.00/0.87 spl16_378 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6032,f2189,f6054])). 4.00/0.87 tff(f6054,plain,( 4.00/0.87 spl16_378 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_378])])). 4.00/0.87 tff(f6032,plain,( 4.00/0.87 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f405])). 4.00/0.87 tff(f6052,plain,( 4.00/0.87 spl16_377 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6031,f2189,f6050])). 4.00/0.87 tff(f6050,plain,( 4.00/0.87 spl16_377 <=> sK2 = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_377])])). 4.00/0.87 tff(f6031,plain,( 4.00/0.87 sK2 = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl16_110), 4.00/0.87 inference(resolution,[],[f2190,f404])). 4.00/0.87 tff(f6048,plain,( 4.00/0.87 ~spl16_376 | ~spl16_12 | spl16_110), 4.00/0.87 inference(avatar_split_clause,[],[f6030,f2189,f635,f6046])). 4.00/0.87 tff(f6046,plain,( 4.00/0.87 spl16_376 <=> $less(sK2,$uminus(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_376])])). 4.00/0.87 tff(f635,plain,( 4.00/0.87 spl16_12 <=> sK2 = abs(sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_12])])). 4.00/0.87 tff(f6030,plain,( 4.00/0.87 ~$less(sK2,$uminus(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))) | (~spl16_12 | spl16_110)), 4.00/0.87 inference(resolution,[],[f2190,f680])). 4.00/0.87 tff(f680,plain,( 4.00/0.87 ( ! [X1 : $int] : ($less(X1,sK2) | ~$less(sK2,$uminus(X1))) ) | ~spl16_12), 4.00/0.87 inference(superposition,[],[f421,f636])). 4.00/0.87 tff(f636,plain,( 4.00/0.87 sK2 = abs(sK2) | ~spl16_12), 4.00/0.87 inference(avatar_component_clause,[],[f635])). 4.00/0.87 tff(f6021,plain,( 4.00/0.87 spl16_374 | spl16_375 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5987,f5959,f6019,f6016])). 4.00/0.87 tff(f6016,plain,( 4.00/0.87 spl16_374 <=> ! [X22 : array_elt3] : (~$less(0,length1(elt7,t2tb10(X22))) | ~sorted4(X22) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus(abs(0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_374])])). 4.00/0.87 tff(f6019,plain,( 4.00/0.87 spl16_375 <=> $less($uminus(abs(0)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_375])])). 4.00/0.87 tff(f5959,plain,( 4.00/0.87 spl16_365 <=> $less(0,$uminus(abs(0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_365])])). 4.00/0.87 tff(f5987,plain,( 4.00/0.87 ( ! [X22 : array_elt3] : ($less($uminus(abs(0)),0) | ~$less(0,length1(elt7,t2tb10(X22))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus(abs(0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))) | ~sorted4(X22)) ) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f520])). 4.00/0.87 tff(f5960,plain,( 4.00/0.87 ~$less(0,$uminus(abs(0))) | spl16_365), 4.00/0.87 inference(avatar_component_clause,[],[f5959])). 4.00/0.87 tff(f6014,plain,( 4.00/0.87 spl16_373 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5980,f5959,f6012])). 4.00/0.87 tff(f6012,plain,( 4.00/0.87 spl16_373 <=> min(0,$uminus(abs(0))) = min($uminus(abs(0)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_373])])). 4.00/0.87 tff(f5980,plain,( 4.00/0.87 min(0,$uminus(abs(0))) = min($uminus(abs(0)),0) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f409])). 4.00/0.87 tff(f6010,plain,( 4.00/0.87 spl16_372 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5979,f5959,f6008])). 4.00/0.87 tff(f6008,plain,( 4.00/0.87 spl16_372 <=> max(0,$uminus(abs(0))) = max($uminus(abs(0)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_372])])). 4.00/0.87 tff(f5979,plain,( 4.00/0.87 max(0,$uminus(abs(0))) = max($uminus(abs(0)),0) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f408])). 4.00/0.87 tff(f6006,plain,( 4.00/0.87 spl16_371 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5978,f5959,f6004])). 4.00/0.87 tff(f6004,plain,( 4.00/0.87 spl16_371 <=> $uminus(abs(0)) = min($uminus(abs(0)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_371])])). 4.00/0.87 tff(f5978,plain,( 4.00/0.87 $uminus(abs(0)) = min($uminus(abs(0)),0) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f407])). 4.00/0.87 tff(f6002,plain,( 4.00/0.87 spl16_370 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5977,f5959,f6000])). 4.00/0.87 tff(f6000,plain,( 4.00/0.87 spl16_370 <=> 0 = max($uminus(abs(0)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_370])])). 4.00/0.87 tff(f5977,plain,( 4.00/0.87 0 = max($uminus(abs(0)),0) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f406])). 4.00/0.87 tff(f5998,plain,( 4.00/0.87 spl16_369 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5976,f5959,f5996])). 4.00/0.87 tff(f5996,plain,( 4.00/0.87 spl16_369 <=> 0 = max(0,$uminus(abs(0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_369])])). 4.00/0.87 tff(f5976,plain,( 4.00/0.87 0 = max(0,$uminus(abs(0))) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f405])). 4.00/0.87 tff(f5994,plain,( 4.00/0.87 spl16_368 | spl16_365), 4.00/0.87 inference(avatar_split_clause,[],[f5975,f5959,f5992])). 4.00/0.87 tff(f5992,plain,( 4.00/0.87 spl16_368 <=> $uminus(abs(0)) = min(0,$uminus(abs(0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_368])])). 4.00/0.87 tff(f5975,plain,( 4.00/0.87 $uminus(abs(0)) = min(0,$uminus(abs(0))) | spl16_365), 4.00/0.87 inference(resolution,[],[f5960,f404])). 4.00/0.87 tff(f5971,plain,( 4.00/0.87 spl16_366 | spl16_364), 4.00/0.87 inference(avatar_split_clause,[],[f5947,f5939,f5963])). 4.00/0.87 tff(f5963,plain,( 4.00/0.87 spl16_366 <=> abs(0) = min(abs(0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_366])])). 4.00/0.87 tff(f5939,plain,( 4.00/0.87 spl16_364 <=> $less(abs(0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_364])])). 4.00/0.87 tff(f5947,plain,( 4.00/0.87 abs(0) = min(abs(0),abs(0)) | spl16_364), 4.00/0.87 inference(resolution,[],[f5940,f407])). 4.00/0.87 tff(f5940,plain,( 4.00/0.87 ~$less(abs(0),abs(0)) | spl16_364), 4.00/0.87 inference(avatar_component_clause,[],[f5939])). 4.00/0.87 tff(f5970,plain,( 4.00/0.87 spl16_367 | spl16_364), 4.00/0.87 inference(avatar_split_clause,[],[f5946,f5939,f5967])). 4.00/0.87 tff(f5967,plain,( 4.00/0.87 spl16_367 <=> abs(0) = max(abs(0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_367])])). 4.00/0.87 tff(f5946,plain,( 4.00/0.87 abs(0) = max(abs(0),abs(0)) | spl16_364), 4.00/0.87 inference(resolution,[],[f5940,f406])). 4.00/0.87 tff(f5969,plain,( 4.00/0.87 spl16_367 | spl16_364), 4.00/0.87 inference(avatar_split_clause,[],[f5945,f5939,f5967])). 4.00/0.87 tff(f5945,plain,( 4.00/0.87 abs(0) = max(abs(0),abs(0)) | spl16_364), 4.00/0.87 inference(resolution,[],[f5940,f405])). 4.00/0.87 tff(f5965,plain,( 4.00/0.87 spl16_366 | spl16_364), 4.00/0.87 inference(avatar_split_clause,[],[f5944,f5939,f5963])). 4.00/0.87 tff(f5944,plain,( 4.00/0.87 abs(0) = min(abs(0),abs(0)) | spl16_364), 4.00/0.87 inference(resolution,[],[f5940,f404])). 4.00/0.87 tff(f5961,plain,( 4.00/0.87 ~spl16_365 | spl16_364), 4.00/0.87 inference(avatar_split_clause,[],[f5943,f5939,f5959])). 4.00/0.87 tff(f5943,plain,( 4.00/0.87 ~$less(0,$uminus(abs(0))) | spl16_364), 4.00/0.87 inference(resolution,[],[f5940,f421])). 4.00/0.87 tff(f5941,plain,( 4.00/0.87 ~spl16_364 | ~spl16_311), 4.00/0.87 inference(avatar_split_clause,[],[f5936,f5493,f5939])). 4.00/0.87 tff(f5493,plain,( 4.00/0.87 spl16_311 <=> abs(0) = min(sK0,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_311])])). 4.00/0.87 tff(f5936,plain,( 4.00/0.87 ~$less(abs(0),abs(0)) | ~spl16_311), 4.00/0.87 inference(superposition,[],[f394,f5494])). 4.00/0.87 tff(f5494,plain,( 4.00/0.87 abs(0) = min(sK0,abs(0)) | ~spl16_311), 4.00/0.87 inference(avatar_component_clause,[],[f5493])). 4.00/0.87 tff(f5924,plain,( 4.00/0.87 spl16_363 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5886,f5861,f5922])). 4.00/0.87 tff(f5922,plain,( 4.00/0.87 spl16_363 <=> min($sum(sK2,0),0) = min(0,$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_363])])). 4.00/0.87 tff(f5861,plain,( 4.00/0.87 spl16_355 <=> $less($sum(sK2,0),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_355])])). 4.00/0.87 tff(f5886,plain,( 4.00/0.87 min($sum(sK2,0),0) = min(0,$sum(sK2,0)) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f409])). 4.00/0.87 tff(f5862,plain,( 4.00/0.87 ~$less($sum(sK2,0),0) | spl16_355), 4.00/0.87 inference(avatar_component_clause,[],[f5861])). 4.00/0.87 tff(f5920,plain,( 4.00/0.87 spl16_362 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5885,f5861,f5918])). 4.00/0.87 tff(f5918,plain,( 4.00/0.87 spl16_362 <=> max($sum(sK2,0),0) = max(0,$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_362])])). 4.00/0.87 tff(f5885,plain,( 4.00/0.87 max($sum(sK2,0),0) = max(0,$sum(sK2,0)) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f408])). 4.00/0.87 tff(f5916,plain,( 4.00/0.87 spl16_361 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5884,f5861,f5914])). 4.00/0.87 tff(f5914,plain,( 4.00/0.87 spl16_361 <=> 0 = min(0,$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_361])])). 4.00/0.87 tff(f5884,plain,( 4.00/0.87 0 = min(0,$sum(sK2,0)) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f407])). 4.00/0.87 tff(f5912,plain,( 4.00/0.87 spl16_360 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5883,f5861,f5910])). 4.00/0.87 tff(f5910,plain,( 4.00/0.87 spl16_360 <=> $sum(sK2,0) = max(0,$sum(sK2,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_360])])). 4.00/0.87 tff(f5883,plain,( 4.00/0.87 $sum(sK2,0) = max(0,$sum(sK2,0)) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f406])). 4.00/0.87 tff(f5908,plain,( 4.00/0.87 spl16_359 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5882,f5861,f5906])). 4.00/0.87 tff(f5882,plain,( 4.00/0.87 $sum(sK2,0) = max($sum(sK2,0),0) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f405])). 4.00/0.87 tff(f5904,plain,( 4.00/0.87 spl16_358 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5881,f5861,f5902])). 4.00/0.87 tff(f5902,plain,( 4.00/0.87 spl16_358 <=> 0 = min($sum(sK2,0),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_358])])). 4.00/0.87 tff(f5881,plain,( 4.00/0.87 0 = min($sum(sK2,0),0) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f404])). 4.00/0.87 tff(f5900,plain,( 4.00/0.87 spl16_357 | spl16_355), 4.00/0.87 inference(avatar_split_clause,[],[f5868,f5861,f5898])). 4.00/0.87 tff(f5868,plain,( 4.00/0.87 $sum(sK2,0) = abs($sum(sK2,0)) | spl16_355), 4.00/0.87 inference(resolution,[],[f5862,f378])). 4.00/0.87 tff(f378,plain,( 4.00/0.87 ( ! [X0 : $int] : ($less(X0,0) | abs(X0) = X0) )), 4.00/0.87 inference(cnf_transformation,[],[f234])). 4.00/0.87 tff(f234,plain,( 4.00/0.87 ! [X0 : $int] : ((abs(X0) = $uminus(X0) | ~$less(X0,0)) & (abs(X0) = X0 | $less(X0,0)))), 4.00/0.87 inference(ennf_transformation,[],[f158])). 4.00/0.87 tff(f158,plain,( 4.00/0.87 ! [X0 : $int] : (($less(X0,0) => abs(X0) = $uminus(X0)) & (~$less(X0,0) => abs(X0) = X0))), 4.00/0.87 inference(rectify,[],[f102])). 4.00/0.87 tff(f102,plain,( 4.00/0.87 ! [X7 : $int] : (($less(X7,0) => abs(X7) = $uminus(X7)) & (~$less(X7,0) => abs(X7) = X7))), 4.00/0.87 inference(theory_normalization,[],[f50])). 4.00/0.87 tff(f50,axiom,( 4.00/0.87 ! [X7 : $int] : ((~$lesseq(0,X7) => abs(X7) = $uminus(X7)) & ($lesseq(0,X7) => abs(X7) = X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def)). 4.00/0.87 tff(f5867,plain,( 4.00/0.87 spl16_356 | ~spl16_355 | spl16_3), 4.00/0.87 inference(avatar_split_clause,[],[f5856,f543,f5861,f5865])). 4.00/0.87 tff(f5865,plain,( 4.00/0.87 spl16_356 <=> ! [X13 : uni,X12 : uni,X11 : ty] : (get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK2))) = X12 | ~sort1(X11,X12))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_356])])). 4.00/0.87 tff(f5856,plain,( 4.00/0.87 ( ! [X11 : ty,X12 : uni,X13 : uni] : (~$less($sum(sK2,0),0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK2))) = X12 | ~sort1(X11,X12)) ) | spl16_3), 4.00/0.87 inference(superposition,[],[f633,f464])). 4.00/0.87 tff(f464,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 | ~sort1(X0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f335])). 4.00/0.87 tff(f335,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | (get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 & ~$less(sK9(X0,X1,X2,X3,X4),X3) & $less(sK9(X0,X1,X2,X3,X4),X4)) | ~sort1(X0,X1))), 4.00/0.87 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f288,f334])). 4.00/0.87 tff(f334,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3) & $less(X5,X4)) => (get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 & ~$less(sK9(X0,X1,X2,X3,X4),X3) & $less(sK9(X0,X1,X2,X3,X4),X4)))), 4.00/0.87 introduced(choice_axiom,[])). 4.00/0.87 tff(f288,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3) & $less(X5,X4)) | ~sort1(X0,X1))), 4.00/0.87 inference(flattening,[],[f287])). 4.00/0.87 tff(f287,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((0 = occ1(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & (~$less(X5,X3) & $less(X5,X4)))) | ~sort1(X0,X1))), 4.00/0.87 inference(ennf_transformation,[],[f128])). 4.00/0.87 tff(f128,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (sort1(X0,X1) => (! [X5 : $int] : ((~$less(X5,X3) & $less(X5,X4)) => get(X0,int,X2,t2tb(X5)) != X1) => 0 = occ1(X0,X1,X2,X3,X4)))), 4.00/0.87 inference(theory_normalization,[],[f51])). 4.00/0.87 tff(f51,axiom,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (sort1(X0,X1) => (! [X5 : $int] : (($lesseq(X3,X5) & $less(X5,X4)) => get(X0,int,X2,t2tb(X5)) != X1) => 0 = occ1(X0,X1,X2,X3,X4)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',occ_neq)). 4.00/0.87 tff(f633,plain,( 4.00/0.87 ( ! [X28 : uni,X29 : uni,X27 : ty] : (~$less($sum(sK2,0),occ1(X27,X28,X29,0,sK2))) ) | spl16_3), 4.00/0.87 inference(evaluation,[],[f626])). 4.00/0.87 tff(f626,plain,( 4.00/0.87 ( ! [X28 : uni,X29 : uni,X27 : ty] : (~$less($sum(sK2,$uminus(0)),occ1(X27,X28,X29,0,sK2))) ) | spl16_3), 4.00/0.87 inference(resolution,[],[f544,f467])). 4.00/0.87 tff(f467,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X4,X3) | ~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4))) )), 4.00/0.87 inference(cnf_transformation,[],[f290])). 4.00/0.87 tff(f290,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)) | $less(X4,X3))), 4.00/0.87 inference(ennf_transformation,[],[f130])). 4.00/0.87 tff(f130,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X4,X3) => (~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)))), 4.00/0.87 inference(theory_normalization,[],[f77])). 4.00/0.87 tff(f77,axiom,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ($lesseq(X3,X4) => ($lesseq(occ1(X0,X1,X2,X3,X4),$difference(X4,X3)) & $lesseq(0,occ1(X0,X1,X2,X3,X4))))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',occ_bounds)). 4.00/0.87 tff(f5863,plain,( 4.00/0.87 spl16_354 | ~spl16_355 | spl16_3), 4.00/0.87 inference(avatar_split_clause,[],[f5855,f543,f5861,f5858])). 4.00/0.87 tff(f5858,plain,( 4.00/0.87 spl16_354 <=> ! [X9 : uni,X8 : ty,X10 : uni] : (~$less(sK9(X8,X9,X10,0,sK2),0) | ~sort1(X8,X9))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_354])])). 4.00/0.87 tff(f5855,plain,( 4.00/0.87 ( ! [X10 : uni,X8 : ty,X9 : uni] : (~$less($sum(sK2,0),0) | ~$less(sK9(X8,X9,X10,0,sK2),0) | ~sort1(X8,X9)) ) | spl16_3), 4.00/0.87 inference(superposition,[],[f633,f463])). 4.00/0.87 tff(f463,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | ~$less(sK9(X0,X1,X2,X3,X4),X3) | ~sort1(X0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f335])). 4.00/0.87 tff(f5813,plain,( 4.00/0.87 spl16_353 | spl16_318 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5784,f5423,f5520,f5811])). 4.00/0.87 tff(f5811,plain,( 4.00/0.87 spl16_353 <=> ! [X20 : array_elt3] : (~$less($sum(sK0,-1),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_353])])). 4.00/0.87 tff(f5520,plain,( 4.00/0.87 spl16_318 <=> $less(abs(0),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_318])])). 4.00/0.87 tff(f5423,plain,( 4.00/0.87 spl16_306 <=> $less($sum(sK0,-1),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_306])])). 4.00/0.87 tff(f5784,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs(0),0) | ~$less($sum(sK0,-1),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1))))) | ~sorted4(X20)) ) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f520])). 4.00/0.87 tff(f5424,plain,( 4.00/0.87 ~$less($sum(sK0,-1),abs(0)) | spl16_306), 4.00/0.87 inference(avatar_component_clause,[],[f5423])). 4.00/0.87 tff(f5809,plain,( 4.00/0.87 spl16_352 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5777,f5423,f5807])). 4.00/0.87 tff(f5807,plain,( 4.00/0.87 spl16_352 <=> min($sum(sK0,-1),abs(0)) = min(abs(0),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_352])])). 4.00/0.87 tff(f5777,plain,( 4.00/0.87 min($sum(sK0,-1),abs(0)) = min(abs(0),$sum(sK0,-1)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f409])). 4.00/0.87 tff(f5805,plain,( 4.00/0.87 spl16_351 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5776,f5423,f5803])). 4.00/0.87 tff(f5803,plain,( 4.00/0.87 spl16_351 <=> max($sum(sK0,-1),abs(0)) = max(abs(0),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_351])])). 4.00/0.87 tff(f5776,plain,( 4.00/0.87 max($sum(sK0,-1),abs(0)) = max(abs(0),$sum(sK0,-1)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f408])). 4.00/0.87 tff(f5801,plain,( 4.00/0.87 spl16_350 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5775,f5423,f5799])). 4.00/0.87 tff(f5799,plain,( 4.00/0.87 spl16_350 <=> abs(0) = min(abs(0),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_350])])). 4.00/0.87 tff(f5775,plain,( 4.00/0.87 abs(0) = min(abs(0),$sum(sK0,-1)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f407])). 4.00/0.87 tff(f5797,plain,( 4.00/0.87 spl16_349 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5774,f5423,f5795])). 4.00/0.87 tff(f5795,plain,( 4.00/0.87 spl16_349 <=> $sum(sK0,-1) = max(abs(0),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_349])])). 4.00/0.87 tff(f5774,plain,( 4.00/0.87 $sum(sK0,-1) = max(abs(0),$sum(sK0,-1)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f406])). 4.00/0.87 tff(f5793,plain,( 4.00/0.87 spl16_348 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5773,f5423,f5791])). 4.00/0.87 tff(f5791,plain,( 4.00/0.87 spl16_348 <=> $sum(sK0,-1) = max($sum(sK0,-1),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_348])])). 4.00/0.87 tff(f5773,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),abs(0)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f405])). 4.00/0.87 tff(f5789,plain,( 4.00/0.87 spl16_347 | spl16_306), 4.00/0.87 inference(avatar_split_clause,[],[f5772,f5423,f5787])). 4.00/0.87 tff(f5787,plain,( 4.00/0.87 spl16_347 <=> abs(0) = min($sum(sK0,-1),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_347])])). 4.00/0.87 tff(f5772,plain,( 4.00/0.87 abs(0) = min($sum(sK0,-1),abs(0)) | spl16_306), 4.00/0.87 inference(resolution,[],[f5424,f404])). 4.00/0.87 tff(f5756,plain,( 4.00/0.87 spl16_346 | spl16_318 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5727,f5431,f5520,f5754])). 4.00/0.87 tff(f5754,plain,( 4.00/0.87 spl16_346 <=> ! [X20 : array_elt3] : (~$less($sum(sK0,0),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_346])])). 4.00/0.87 tff(f5431,plain,( 4.00/0.87 spl16_308 <=> $less($sum(sK0,0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_308])])). 4.00/0.87 tff(f5727,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs(0),0) | ~$less($sum(sK0,0),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0))))) | ~sorted4(X20)) ) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f520])). 4.00/0.87 tff(f5432,plain,( 4.00/0.87 ~$less($sum(sK0,0),abs(0)) | spl16_308), 4.00/0.87 inference(avatar_component_clause,[],[f5431])). 4.00/0.87 tff(f5752,plain,( 4.00/0.87 spl16_345 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5720,f5431,f5750])). 4.00/0.87 tff(f5750,plain,( 4.00/0.87 spl16_345 <=> min($sum(sK0,0),abs(0)) = min(abs(0),$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_345])])). 4.00/0.87 tff(f5720,plain,( 4.00/0.87 min($sum(sK0,0),abs(0)) = min(abs(0),$sum(sK0,0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f409])). 4.00/0.87 tff(f5748,plain,( 4.00/0.87 spl16_344 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5719,f5431,f5746])). 4.00/0.87 tff(f5746,plain,( 4.00/0.87 spl16_344 <=> max($sum(sK0,0),abs(0)) = max(abs(0),$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_344])])). 4.00/0.87 tff(f5719,plain,( 4.00/0.87 max($sum(sK0,0),abs(0)) = max(abs(0),$sum(sK0,0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f408])). 4.00/0.87 tff(f5744,plain,( 4.00/0.87 spl16_343 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5718,f5431,f5742])). 4.00/0.87 tff(f5742,plain,( 4.00/0.87 spl16_343 <=> abs(0) = min(abs(0),$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_343])])). 4.00/0.87 tff(f5718,plain,( 4.00/0.87 abs(0) = min(abs(0),$sum(sK0,0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f407])). 4.00/0.87 tff(f5740,plain,( 4.00/0.87 spl16_342 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5717,f5431,f5738])). 4.00/0.87 tff(f5738,plain,( 4.00/0.87 spl16_342 <=> $sum(sK0,0) = max(abs(0),$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_342])])). 4.00/0.87 tff(f5717,plain,( 4.00/0.87 $sum(sK0,0) = max(abs(0),$sum(sK0,0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f406])). 4.00/0.87 tff(f5736,plain,( 4.00/0.87 spl16_341 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5716,f5431,f5734])). 4.00/0.87 tff(f5734,plain,( 4.00/0.87 spl16_341 <=> $sum(sK0,0) = max($sum(sK0,0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_341])])). 4.00/0.87 tff(f5716,plain,( 4.00/0.87 $sum(sK0,0) = max($sum(sK0,0),abs(0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f405])). 4.00/0.87 tff(f5732,plain,( 4.00/0.87 spl16_340 | spl16_308), 4.00/0.87 inference(avatar_split_clause,[],[f5715,f5431,f5730])). 4.00/0.87 tff(f5730,plain,( 4.00/0.87 spl16_340 <=> abs(0) = min($sum(sK0,0),abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_340])])). 4.00/0.87 tff(f5715,plain,( 4.00/0.87 abs(0) = min($sum(sK0,0),abs(0)) | spl16_308), 4.00/0.87 inference(resolution,[],[f5432,f404])). 4.00/0.87 tff(f5679,plain,( 4.00/0.87 spl16_304), 4.00/0.87 inference(avatar_contradiction_clause,[],[f5678])). 4.00/0.87 tff(f5678,plain,( 4.00/0.87 $false | spl16_304), 4.00/0.87 inference(resolution,[],[f5415,f377])). 4.00/0.87 tff(f377,plain,( 4.00/0.87 ( ! [X0 : map_int_elt3] : (sort1(map(int,elt7),t2tb12(X0))) )), 4.00/0.87 inference(cnf_transformation,[],[f157])). 4.00/0.87 tff(f157,plain,( 4.00/0.87 ! [X0 : map_int_elt3] : sort1(map(int,elt7),t2tb12(X0))), 4.00/0.87 inference(rectify,[],[f30])). 4.00/0.87 tff(f30,axiom,( 4.00/0.87 ! [X7 : map_int_elt3] : sort1(map(int,elt7),t2tb12(X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort15)). 4.00/0.87 tff(f5415,plain,( 4.00/0.87 ~sort1(map(int,elt7),t2tb12(sK1)) | spl16_304), 4.00/0.87 inference(avatar_component_clause,[],[f5414])). 4.00/0.87 tff(f5673,plain,( 4.00/0.87 spl16_339 | spl16_223 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5644,f5589,f4164,f5671])). 4.00/0.87 tff(f5671,plain,( 4.00/0.87 spl16_339 <=> ! [X20 : array_elt3] : (~$less(sK2,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_339])])). 4.00/0.87 tff(f4164,plain,( 4.00/0.87 spl16_223 <=> $less($sum(sK0,-1),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_223])])). 4.00/0.87 tff(f5589,plain,( 4.00/0.87 spl16_328 <=> $less(sK2,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_328])])). 4.00/0.87 tff(f5644,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less($sum(sK0,-1),0) | ~$less(sK2,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))) | ~sorted4(X20)) ) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f520])). 4.00/0.87 tff(f5590,plain,( 4.00/0.87 ~$less(sK2,$sum(sK0,-1)) | spl16_328), 4.00/0.87 inference(avatar_component_clause,[],[f5589])). 4.00/0.87 tff(f5669,plain,( 4.00/0.87 spl16_338 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5637,f5589,f5667])). 4.00/0.87 tff(f5667,plain,( 4.00/0.87 spl16_338 <=> min(sK2,$sum(sK0,-1)) = min($sum(sK0,-1),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_338])])). 4.00/0.87 tff(f5637,plain,( 4.00/0.87 min(sK2,$sum(sK0,-1)) = min($sum(sK0,-1),sK2) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f409])). 4.00/0.87 tff(f5665,plain,( 4.00/0.87 spl16_337 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5636,f5589,f5663])). 4.00/0.87 tff(f5663,plain,( 4.00/0.87 spl16_337 <=> max(sK2,$sum(sK0,-1)) = max($sum(sK0,-1),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_337])])). 4.00/0.87 tff(f5636,plain,( 4.00/0.87 max(sK2,$sum(sK0,-1)) = max($sum(sK0,-1),sK2) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f408])). 4.00/0.87 tff(f5661,plain,( 4.00/0.87 spl16_336 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5635,f5589,f5659])). 4.00/0.87 tff(f5659,plain,( 4.00/0.87 spl16_336 <=> $sum(sK0,-1) = min($sum(sK0,-1),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_336])])). 4.00/0.87 tff(f5635,plain,( 4.00/0.87 $sum(sK0,-1) = min($sum(sK0,-1),sK2) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f407])). 4.00/0.87 tff(f5657,plain,( 4.00/0.87 spl16_335 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5634,f5589,f5655])). 4.00/0.87 tff(f5655,plain,( 4.00/0.87 spl16_335 <=> sK2 = max($sum(sK0,-1),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_335])])). 4.00/0.87 tff(f5634,plain,( 4.00/0.87 sK2 = max($sum(sK0,-1),sK2) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f406])). 4.00/0.87 tff(f5653,plain,( 4.00/0.87 spl16_334 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5633,f5589,f5651])). 4.00/0.87 tff(f5651,plain,( 4.00/0.87 spl16_334 <=> sK2 = max(sK2,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_334])])). 4.00/0.87 tff(f5633,plain,( 4.00/0.87 sK2 = max(sK2,$sum(sK0,-1)) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f405])). 4.00/0.87 tff(f5649,plain,( 4.00/0.87 spl16_333 | spl16_328), 4.00/0.87 inference(avatar_split_clause,[],[f5632,f5589,f5647])). 4.00/0.87 tff(f5647,plain,( 4.00/0.87 spl16_333 <=> $sum(sK0,-1) = min(sK2,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_333])])). 4.00/0.87 tff(f5632,plain,( 4.00/0.87 $sum(sK0,-1) = min(sK2,$sum(sK0,-1)) | spl16_328), 4.00/0.87 inference(resolution,[],[f5590,f404])). 4.00/0.87 tff(f5627,plain,( 4.00/0.87 spl16_331 | spl16_332 | spl16_2 | spl16_3), 4.00/0.87 inference(avatar_split_clause,[],[f5616,f543,f539,f5625,f5622])). 4.00/0.87 tff(f5622,plain,( 4.00/0.87 spl16_331 <=> $less(0,sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_331])])). 4.00/0.87 tff(f5625,plain,( 4.00/0.87 spl16_332 <=> ! [X2 : uni,X0 : ty,X1 : uni] : $sum(0,occ1(X0,X1,X2,0,sK0)) = occ1(X0,X1,X2,sK2,sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_332])])). 4.00/0.87 tff(f5616,plain,( 4.00/0.87 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($sum(0,occ1(X0,X1,X2,0,sK0)) = occ1(X0,X1,X2,sK2,sK0) | $less(0,sK2)) ) | (spl16_2 | spl16_3)), 4.00/0.87 inference(superposition,[],[f573,f624])). 4.00/0.87 tff(f624,plain,( 4.00/0.87 ( ! [X21 : ty,X22 : uni,X23 : uni] : (0 = occ1(X21,X22,X23,sK2,0)) ) | spl16_3), 4.00/0.87 inference(resolution,[],[f544,f465])). 4.00/0.87 tff(f573,plain,( 4.00/0.87 ( ! [X40 : $int,X38 : uni,X39 : uni,X37 : ty] : (occ1(X37,X38,X39,X40,sK0) = $sum(occ1(X37,X38,X39,X40,0),occ1(X37,X38,X39,0,sK0)) | $less(0,X40)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f501])). 4.00/0.87 tff(f501,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int,X5 : $int] : ($less(X5,X4) | occ1(X0,X1,X2,X3,X5) = $sum(occ1(X0,X1,X2,X3,X4),occ1(X0,X1,X2,X4,X5)) | $less(X4,X3)) )), 4.00/0.87 inference(cnf_transformation,[],[f305])). 4.00/0.87 tff(f305,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (occ1(X0,X1,X2,X3,X5) = $sum(occ1(X0,X1,X2,X3,X4),occ1(X0,X1,X2,X4,X5)) | $less(X5,X4) | $less(X4,X3))), 4.00/0.87 inference(flattening,[],[f304])). 4.00/0.87 tff(f304,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (occ1(X0,X1,X2,X3,X5) = $sum(occ1(X0,X1,X2,X3,X4),occ1(X0,X1,X2,X4,X5)) | ($less(X5,X4) | $less(X4,X3)))), 4.00/0.87 inference(ennf_transformation,[],[f227])). 4.00/0.87 tff(f227,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : ((~$less(X5,X4) & ~$less(X4,X3)) => occ1(X0,X1,X2,X3,X5) = $sum(occ1(X0,X1,X2,X3,X4),occ1(X0,X1,X2,X4,X5)))), 4.00/0.87 inference(rectify,[],[f137])). 4.00/0.87 tff(f137,plain,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X12 : $int,X4 : $int] : ((~$less(X4,X12) & ~$less(X12,X3)) => occ1(X0,X1,X2,X3,X4) = $sum(occ1(X0,X1,X2,X3,X12),occ1(X0,X1,X2,X12,X4)))), 4.00/0.87 inference(theory_normalization,[],[f9])). 4.00/0.87 tff(f9,axiom,( 4.00/0.87 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X12 : $int,X4 : $int] : (($lesseq(X12,X4) & $lesseq(X3,X12)) => occ1(X0,X1,X2,X3,X4) = $sum(occ1(X0,X1,X2,X3,X12),occ1(X0,X1,X2,X12,X4)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',occ_append)). 4.00/0.87 tff(f5599,plain,( 4.00/0.87 ~spl16_4 | spl16_330 | spl16_3 | ~spl16_21), 4.00/0.87 inference(avatar_split_clause,[],[f5579,f676,f543,f5597,f547])). 4.00/0.87 tff(f547,plain,( 4.00/0.87 spl16_4 <=> $less(sK2,sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_4])])). 4.00/0.87 tff(f5597,plain,( 4.00/0.87 spl16_330 <=> $less($uminus(sK0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_330])])). 4.00/0.87 tff(f676,plain,( 4.00/0.87 spl16_21 <=> ! [X3 : $int] : $less($uminus(sK0),mod(X3,sK0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_21])])). 4.00/0.87 tff(f5579,plain,( 4.00/0.87 $less($uminus(sK0),sK2) | ~$less(sK2,sK0) | (spl16_3 | ~spl16_21)), 4.00/0.87 inference(superposition,[],[f677,f612])). 4.00/0.87 tff(f612,plain,( 4.00/0.87 ( ! [X5 : $int] : (sK2 = mod(sK2,X5) | ~$less(sK2,X5)) ) | spl16_3), 4.00/0.87 inference(resolution,[],[f544,f418])). 4.00/0.87 tff(f418,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | mod(X0,X1) = X0 | ~$less(X0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f263])). 4.00/0.87 tff(f263,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | $less(X0,0) | ~$less(X0,X1))), 4.00/0.87 inference(flattening,[],[f262])). 4.00/0.87 tff(f262,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | ($less(X0,0) | ~$less(X0,X1)))), 4.00/0.87 inference(ennf_transformation,[],[f189])). 4.00/0.87 tff(f189,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => mod(X0,X1) = X0)), 4.00/0.87 inference(rectify,[],[f119])). 4.00/0.87 tff(f119,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(X7,X8)) => mod(X7,X8) = X7)), 4.00/0.87 inference(theory_normalization,[],[f43])). 4.00/0.87 tff(f43,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (($lesseq(0,X7) & $less(X7,X8)) => mod(X7,X8) = X7)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_inf)). 4.00/0.87 tff(f677,plain,( 4.00/0.87 ( ! [X3 : $int] : ($less($uminus(sK0),mod(X3,sK0))) ) | ~spl16_21), 4.00/0.87 inference(avatar_component_clause,[],[f676])). 4.00/0.87 tff(f5594,plain,( 4.00/0.87 ~spl16_328 | spl16_329 | spl16_3 | ~spl16_243), 4.00/0.87 inference(avatar_split_clause,[],[f5576,f4312,f543,f5592,f5589])). 4.00/0.87 tff(f5592,plain,( 4.00/0.87 spl16_329 <=> $less($uminus($sum(sK0,-1)),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_329])])). 4.00/0.87 tff(f4312,plain,( 4.00/0.87 spl16_243 <=> ! [X2 : $int] : $less($uminus($sum(sK0,-1)),mod(X2,$sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_243])])). 4.00/0.87 tff(f5576,plain,( 4.00/0.87 $less($uminus($sum(sK0,-1)),sK2) | ~$less(sK2,$sum(sK0,-1)) | (spl16_3 | ~spl16_243)), 4.00/0.87 inference(superposition,[],[f4313,f612])). 4.00/0.87 tff(f4313,plain,( 4.00/0.87 ( ! [X2 : $int] : ($less($uminus($sum(sK0,-1)),mod(X2,$sum(sK0,-1)))) ) | ~spl16_243), 4.00/0.87 inference(avatar_component_clause,[],[f4312])). 4.00/0.87 tff(f5587,plain,( 4.00/0.87 ~spl16_326 | spl16_327 | spl16_3 | ~spl16_93), 4.00/0.87 inference(avatar_split_clause,[],[f5574,f1778,f543,f5585,f5582])). 4.00/0.87 tff(f5582,plain,( 4.00/0.87 spl16_326 <=> $less(sK2,$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_326])])). 4.00/0.87 tff(f5585,plain,( 4.00/0.87 spl16_327 <=> $less($uminus($sum(sK0,0)),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_327])])). 4.00/0.87 tff(f1778,plain,( 4.00/0.87 spl16_93 <=> ! [X2 : $int] : $less($uminus($sum(sK0,0)),mod(X2,$sum(sK0,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_93])])). 4.00/0.87 tff(f5574,plain,( 4.00/0.87 $less($uminus($sum(sK0,0)),sK2) | ~$less(sK2,$sum(sK0,0)) | (spl16_3 | ~spl16_93)), 4.00/0.87 inference(superposition,[],[f1779,f612])). 4.00/0.87 tff(f1779,plain,( 4.00/0.87 ( ! [X2 : $int] : ($less($uminus($sum(sK0,0)),mod(X2,$sum(sK0,0)))) ) | ~spl16_93), 4.00/0.87 inference(avatar_component_clause,[],[f1778])). 4.00/0.87 tff(f5566,plain,( 4.00/0.87 spl16_325 | spl16_318 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5537,f5427,f5520,f5564])). 4.00/0.87 tff(f5564,plain,( 4.00/0.87 spl16_325 <=> ! [X20 : array_elt3] : (~$less(sK2,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_325])])). 4.00/0.87 tff(f5427,plain,( 4.00/0.87 spl16_307 <=> $less(sK2,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_307])])). 4.00/0.87 tff(f5537,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs(0),0) | ~$less(sK2,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))) | ~sorted4(X20)) ) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f520])). 4.00/0.87 tff(f5428,plain,( 4.00/0.87 ~$less(sK2,abs(0)) | spl16_307), 4.00/0.87 inference(avatar_component_clause,[],[f5427])). 4.00/0.87 tff(f5562,plain,( 4.00/0.87 spl16_324 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5530,f5427,f5560])). 4.00/0.87 tff(f5560,plain,( 4.00/0.87 spl16_324 <=> min(sK2,abs(0)) = min(abs(0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_324])])). 4.00/0.87 tff(f5530,plain,( 4.00/0.87 min(sK2,abs(0)) = min(abs(0),sK2) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f409])). 4.00/0.87 tff(f5558,plain,( 4.00/0.87 spl16_323 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5529,f5427,f5556])). 4.00/0.87 tff(f5556,plain,( 4.00/0.87 spl16_323 <=> max(sK2,abs(0)) = max(abs(0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_323])])). 4.00/0.87 tff(f5529,plain,( 4.00/0.87 max(sK2,abs(0)) = max(abs(0),sK2) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f408])). 4.00/0.87 tff(f5554,plain,( 4.00/0.87 spl16_322 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5528,f5427,f5552])). 4.00/0.87 tff(f5552,plain,( 4.00/0.87 spl16_322 <=> abs(0) = min(abs(0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_322])])). 4.00/0.87 tff(f5528,plain,( 4.00/0.87 abs(0) = min(abs(0),sK2) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f407])). 4.00/0.87 tff(f5550,plain,( 4.00/0.87 spl16_321 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5527,f5427,f5548])). 4.00/0.87 tff(f5548,plain,( 4.00/0.87 spl16_321 <=> sK2 = max(abs(0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_321])])). 4.00/0.87 tff(f5527,plain,( 4.00/0.87 sK2 = max(abs(0),sK2) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f406])). 4.00/0.87 tff(f5546,plain,( 4.00/0.87 spl16_320 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5526,f5427,f5544])). 4.00/0.87 tff(f5544,plain,( 4.00/0.87 spl16_320 <=> sK2 = max(sK2,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_320])])). 4.00/0.87 tff(f5526,plain,( 4.00/0.87 sK2 = max(sK2,abs(0)) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f405])). 4.00/0.87 tff(f5542,plain,( 4.00/0.87 spl16_319 | spl16_307), 4.00/0.87 inference(avatar_split_clause,[],[f5525,f5427,f5540])). 4.00/0.87 tff(f5540,plain,( 4.00/0.87 spl16_319 <=> abs(0) = min(sK2,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_319])])). 4.00/0.87 tff(f5525,plain,( 4.00/0.87 abs(0) = min(sK2,abs(0)) | spl16_307), 4.00/0.87 inference(resolution,[],[f5428,f404])). 4.00/0.87 tff(f5522,plain,( 4.00/0.87 spl16_317 | spl16_318 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5490,f5435,f5520,f5517])). 4.00/0.87 tff(f5517,plain,( 4.00/0.87 spl16_317 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_317])])). 4.00/0.87 tff(f5435,plain,( 4.00/0.87 spl16_309 <=> $less(sK0,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_309])])). 4.00/0.87 tff(f5490,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs(0),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f520])). 4.00/0.87 tff(f5436,plain,( 4.00/0.87 ~$less(sK0,abs(0)) | spl16_309), 4.00/0.87 inference(avatar_component_clause,[],[f5435])). 4.00/0.87 tff(f5515,plain,( 4.00/0.87 spl16_316 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5483,f5435,f5513])). 4.00/0.87 tff(f5513,plain,( 4.00/0.87 spl16_316 <=> min(sK0,abs(0)) = min(abs(0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_316])])). 4.00/0.87 tff(f5483,plain,( 4.00/0.87 min(sK0,abs(0)) = min(abs(0),sK0) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f409])). 4.00/0.87 tff(f5511,plain,( 4.00/0.87 spl16_315 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5482,f5435,f5509])). 4.00/0.87 tff(f5509,plain,( 4.00/0.87 spl16_315 <=> max(sK0,abs(0)) = max(abs(0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_315])])). 4.00/0.87 tff(f5482,plain,( 4.00/0.87 max(sK0,abs(0)) = max(abs(0),sK0) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f408])). 4.00/0.87 tff(f5507,plain,( 4.00/0.87 spl16_314 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5481,f5435,f5505])). 4.00/0.87 tff(f5505,plain,( 4.00/0.87 spl16_314 <=> abs(0) = min(abs(0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_314])])). 4.00/0.87 tff(f5481,plain,( 4.00/0.87 abs(0) = min(abs(0),sK0) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f407])). 4.00/0.87 tff(f5503,plain,( 4.00/0.87 spl16_313 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5480,f5435,f5501])). 4.00/0.87 tff(f5501,plain,( 4.00/0.87 spl16_313 <=> sK0 = max(abs(0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_313])])). 4.00/0.87 tff(f5480,plain,( 4.00/0.87 sK0 = max(abs(0),sK0) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f406])). 4.00/0.87 tff(f5499,plain,( 4.00/0.87 spl16_312 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5479,f5435,f5497])). 4.00/0.87 tff(f5497,plain,( 4.00/0.87 spl16_312 <=> sK0 = max(sK0,abs(0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_312])])). 4.00/0.87 tff(f5479,plain,( 4.00/0.87 sK0 = max(sK0,abs(0)) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f405])). 4.00/0.87 tff(f5495,plain,( 4.00/0.87 spl16_311 | spl16_309), 4.00/0.87 inference(avatar_split_clause,[],[f5478,f5435,f5493])). 4.00/0.87 tff(f5478,plain,( 4.00/0.87 abs(0) = min(sK0,abs(0)) | spl16_309), 4.00/0.87 inference(resolution,[],[f5436,f404])). 4.00/0.87 tff(f5474,plain,( 4.00/0.87 spl16_163 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5458,f2774,f2831])). 4.00/0.87 tff(f2831,plain,( 4.00/0.87 spl16_163 <=> min(sK2,1) = min(1,sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_163])])). 4.00/0.87 tff(f2774,plain,( 4.00/0.87 spl16_156 <=> $less(sK2,1)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_156])])). 4.00/0.87 tff(f5458,plain,( 4.00/0.87 min(sK2,1) = min(1,sK2) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f409])). 4.00/0.87 tff(f2775,plain,( 4.00/0.87 ~$less(sK2,1) | spl16_156), 4.00/0.87 inference(avatar_component_clause,[],[f2774])). 4.00/0.87 tff(f5473,plain,( 4.00/0.87 spl16_162 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5457,f2774,f2827])). 4.00/0.87 tff(f2827,plain,( 4.00/0.87 spl16_162 <=> max(sK2,1) = max(1,sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_162])])). 4.00/0.87 tff(f5457,plain,( 4.00/0.87 max(sK2,1) = max(1,sK2) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f408])). 4.00/0.87 tff(f5472,plain,( 4.00/0.87 spl16_161 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5456,f2774,f2823])). 4.00/0.87 tff(f2823,plain,( 4.00/0.87 spl16_161 <=> 1 = min(1,sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_161])])). 4.00/0.87 tff(f5456,plain,( 4.00/0.87 1 = min(1,sK2) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f407])). 4.00/0.87 tff(f5471,plain,( 4.00/0.87 spl16_160 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5455,f2774,f2819])). 4.00/0.87 tff(f2819,plain,( 4.00/0.87 spl16_160 <=> sK2 = max(1,sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_160])])). 4.00/0.87 tff(f5455,plain,( 4.00/0.87 sK2 = max(1,sK2) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f406])). 4.00/0.87 tff(f5470,plain,( 4.00/0.87 spl16_159 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5454,f2774,f2815])). 4.00/0.87 tff(f2815,plain,( 4.00/0.87 spl16_159 <=> sK2 = max(sK2,1)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_159])])). 4.00/0.87 tff(f5454,plain,( 4.00/0.87 sK2 = max(sK2,1) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f405])). 4.00/0.87 tff(f5469,plain,( 4.00/0.87 spl16_158 | spl16_156), 4.00/0.87 inference(avatar_split_clause,[],[f5453,f2774,f2811])). 4.00/0.87 tff(f2811,plain,( 4.00/0.87 spl16_158 <=> 1 = min(sK2,1)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_158])])). 4.00/0.87 tff(f5453,plain,( 4.00/0.87 1 = min(sK2,1) | spl16_156), 4.00/0.87 inference(resolution,[],[f2775,f404])). 4.00/0.87 tff(f5452,plain,( 4.00/0.87 spl16_310 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f3980,f539,f782,f5449])). 4.00/0.87 tff(f5449,plain,( 4.00/0.87 spl16_310 <=> ! [X0 : $int] : (~$less(0,X0) | ~$less(sK0,X0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_310])])). 4.00/0.87 tff(f782,plain,( 4.00/0.87 spl16_35 <=> 0 = min(0,0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_35])])). 4.00/0.87 tff(f3980,plain,( 4.00/0.87 ( ! [X0 : $int] : (0 = min(0,0) | ~$less(0,X0) | ~$less(sK0,X0)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f873,f555])). 4.00/0.87 tff(f555,plain,( 4.00/0.87 ( ! [X4 : $int] : (0 = div(sK0,X4) | ~$less(sK0,X4)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f417])). 4.00/0.87 tff(f417,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | 0 = div(X0,X1) | ~$less(X0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f261])). 4.00/0.87 tff(f261,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | $less(X0,0) | ~$less(X0,X1))), 4.00/0.87 inference(flattening,[],[f260])). 4.00/0.87 tff(f260,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | ($less(X0,0) | ~$less(X0,X1)))), 4.00/0.87 inference(ennf_transformation,[],[f188])). 4.00/0.87 tff(f188,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => 0 = div(X0,X1))), 4.00/0.87 inference(rectify,[],[f118])). 4.00/0.87 tff(f118,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(X7,X8)) => 0 = div(X7,X8))), 4.00/0.87 inference(theory_normalization,[],[f55])). 4.00/0.87 tff(f55,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (($lesseq(0,X7) & $less(X7,X8)) => 0 = div(X7,X8))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_inf)). 4.00/0.87 tff(f873,plain,( 4.00/0.87 ( ! [X33 : $int] : (0 = min(div(sK0,X33),0) | ~$less(0,X33)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f551,f404])). 4.00/0.87 tff(f551,plain,( 4.00/0.87 ( ! [X0 : $int] : (~$less(div(sK0,X0),0) | ~$less(0,X0)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f412])). 4.00/0.87 tff(f412,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | ~$less(div(X0,X1),0) | ~$less(0,X1)) )), 4.00/0.87 inference(cnf_transformation,[],[f253])). 4.00/0.87 tff(f253,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(div(X0,X1),0) | $less(X0,0) | ~$less(0,X1))), 4.00/0.87 inference(flattening,[],[f252])). 4.00/0.87 tff(f252,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(div(X0,X1),0) | ($less(X0,0) | ~$less(0,X1)))), 4.00/0.87 inference(ennf_transformation,[],[f184])). 4.00/0.87 tff(f184,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(0,X1)) => ~$less(div(X0,X1),0))), 4.00/0.87 inference(rectify,[],[f114])). 4.00/0.87 tff(f114,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(0,X8)) => ~$less(div(X7,X8),0))), 4.00/0.87 inference(theory_normalization,[],[f18])). 4.00/0.87 tff(f18,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : (($lesseq(0,X7) & $less(0,X8)) => $lesseq(0,div(X7,X8)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_sign_pos)). 4.00/0.87 tff(f5451,plain,( 4.00/0.87 spl16_310 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f3985,f539,f782,f5449])). 4.00/0.87 tff(f3985,plain,( 4.00/0.87 ( ! [X0 : $int] : (0 = min(0,0) | ~$less(0,X0) | ~$less(sK0,X0)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f876,f555])). 4.00/0.87 tff(f876,plain,( 4.00/0.87 ( ! [X36 : $int] : (0 = min(0,div(sK0,X36)) | ~$less(0,X36)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f551,f407])). 4.00/0.87 tff(f5447,plain,( 4.00/0.87 spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f3997,f539,f782])). 4.00/0.87 tff(f3997,plain,( 4.00/0.87 0 = min(0,0) | spl16_2), 4.00/0.87 inference(evaluation,[],[f3994])). 4.00/0.87 tff(f3994,plain,( 4.00/0.87 0 = min(0,0) | 0 = 1 | spl16_2), 4.00/0.87 inference(superposition,[],[f956,f368])). 4.00/0.87 tff(f368,plain,( 4.00/0.87 ( ! [X0 : $int] : (0 = mod(X0,1)) )), 4.00/0.87 inference(cnf_transformation,[],[f148])). 4.00/0.87 tff(f148,plain,( 4.00/0.87 ! [X0 : $int] : 0 = mod(X0,1)), 4.00/0.87 inference(rectify,[],[f64])). 4.00/0.87 tff(f64,axiom,( 4.00/0.87 ! [X7 : $int] : 0 = mod(X7,1)), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_1)). 4.00/0.87 tff(f956,plain,( 4.00/0.87 ( ! [X33 : $int] : (0 = min(mod(sK0,X33),0) | 0 = X33) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f552,f404])). 4.00/0.87 tff(f552,plain,( 4.00/0.87 ( ! [X1 : $int] : (~$less(mod(sK0,X1),0) | 0 = X1) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f414])). 4.00/0.87 tff(f414,plain,( 4.00/0.87 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | 0 = X1 | ~$less(mod(X0,X1),0)) )), 4.00/0.87 inference(cnf_transformation,[],[f257])). 4.00/0.87 tff(f257,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(mod(X0,X1),0) | 0 = X1 | $less(X0,0))), 4.00/0.87 inference(flattening,[],[f256])). 4.00/0.87 tff(f256,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : (~$less(mod(X0,X1),0) | (0 = X1 | $less(X0,0)))), 4.00/0.87 inference(ennf_transformation,[],[f186])). 4.00/0.87 tff(f186,plain,( 4.00/0.87 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(X0,0)) => ~$less(mod(X0,X1),0))), 4.00/0.87 inference(rectify,[],[f116])). 4.00/0.87 tff(f116,plain,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((0 != X8 & ~$less(X7,0)) => ~$less(mod(X7,X8),0))), 4.00/0.87 inference(theory_normalization,[],[f23])). 4.00/0.87 tff(f23,axiom,( 4.00/0.87 ! [X7 : $int,X8 : $int] : ((0 != X8 & $lesseq(0,X7)) => $lesseq(0,mod(X7,X8)))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos)). 4.00/0.87 tff(f5446,plain,( 4.00/0.87 spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4004,f539,f782])). 4.00/0.87 tff(f4004,plain,( 4.00/0.87 0 = min(0,0) | spl16_2), 4.00/0.87 inference(evaluation,[],[f3999])). 4.00/0.87 tff(f3999,plain,( 4.00/0.87 0 = min(0,0) | 0 = 1 | spl16_2), 4.00/0.87 inference(superposition,[],[f959,f368])). 4.00/0.87 tff(f959,plain,( 4.00/0.87 ( ! [X36 : $int] : (0 = min(0,mod(sK0,X36)) | 0 = X36) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f552,f407])). 4.00/0.87 tff(f5445,plain,( 4.00/0.87 spl16_72 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4025,f539,f782,f1631])). 4.00/0.87 tff(f1631,plain,( 4.00/0.87 spl16_72 <=> ! [X9 : uni,X8 : ty,X10 : uni] : (~$less(sK9(X8,X9,X10,0,sK0),0) | ~sort1(X8,X9))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_72])])). 4.00/0.87 tff(f4025,plain,( 4.00/0.87 ( ! [X10 : uni,X8 : ty,X9 : uni] : (0 = min(0,0) | ~$less(sK9(X8,X9,X10,0,sK0),0) | ~sort1(X8,X9)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f1357,f463])). 4.00/0.87 tff(f1357,plain,( 4.00/0.87 ( ! [X62 : uni,X60 : ty,X61 : uni] : (0 = min(occ1(X60,X61,X62,0,sK0),0)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f569,f404])). 4.00/0.87 tff(f569,plain,( 4.00/0.87 ( ! [X26 : uni,X24 : ty,X25 : uni] : (~$less(occ1(X24,X25,X26,0,sK0),0)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f466])). 4.00/0.87 tff(f466,plain,( 4.00/0.87 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X4,X3) | ~$less(occ1(X0,X1,X2,X3,X4),0)) )), 4.00/0.87 inference(cnf_transformation,[],[f290])). 4.00/0.87 tff(f5444,plain,( 4.00/0.87 spl16_74 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4026,f539,f782,f1638])). 4.00/0.87 tff(f1638,plain,( 4.00/0.87 spl16_74 <=> ! [X13 : uni,X12 : uni,X11 : ty] : (get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK0))) = X12 | ~sort1(X11,X12))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_74])])). 4.00/0.87 tff(f4026,plain,( 4.00/0.87 ( ! [X11 : ty,X12 : uni,X13 : uni] : (0 = min(0,0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f1357,f464])). 4.00/0.87 tff(f5443,plain,( 4.00/0.87 spl16_72 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4074,f539,f782,f1631])). 4.00/0.87 tff(f4074,plain,( 4.00/0.87 ( ! [X10 : uni,X8 : ty,X9 : uni] : (0 = min(0,0) | ~$less(sK9(X8,X9,X10,0,sK0),0) | ~sort1(X8,X9)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f1360,f463])). 4.00/0.87 tff(f1360,plain,( 4.00/0.87 ( ! [X70 : uni,X71 : uni,X69 : ty] : (0 = min(0,occ1(X69,X70,X71,0,sK0))) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f569,f407])). 4.00/0.87 tff(f5442,plain,( 4.00/0.87 spl16_74 | spl16_35 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4075,f539,f782,f1638])). 4.00/0.87 tff(f4075,plain,( 4.00/0.87 ( ! [X11 : ty,X12 : uni,X13 : uni] : (0 = min(0,0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_2), 4.00/0.87 inference(superposition,[],[f1360,f464])). 4.00/0.87 tff(f5441,plain,( 4.00/0.87 spl16_222 | spl16_35 | spl16_65), 4.00/0.87 inference(avatar_split_clause,[],[f4661,f1232,f782,f4161])). 4.00/0.87 tff(f4161,plain,( 4.00/0.87 spl16_222 <=> ! [X9 : uni,X8 : ty,X10 : uni] : (~$less(sK9(X8,X9,X10,1,sK0),1) | ~sort1(X8,X9))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_222])])). 4.00/0.87 tff(f1232,plain,( 4.00/0.87 spl16_65 <=> $less(sK0,1)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_65])])). 4.00/0.87 tff(f4661,plain,( 4.00/0.87 ( ! [X10 : uni,X8 : ty,X9 : uni] : (0 = min(0,0) | ~$less(sK9(X8,X9,X10,1,sK0),1) | ~sort1(X8,X9)) ) | spl16_65), 4.00/0.87 inference(superposition,[],[f1510,f463])). 4.00/0.87 tff(f1510,plain,( 4.00/0.87 ( ! [X62 : uni,X60 : ty,X61 : uni] : (0 = min(occ1(X60,X61,X62,1,sK0),0)) ) | spl16_65), 4.00/0.87 inference(resolution,[],[f1244,f404])). 4.00/0.87 tff(f1244,plain,( 4.00/0.87 ( ! [X3 : ty,X4 : uni,X5 : uni] : (~$less(occ1(X3,X4,X5,1,sK0),0)) ) | spl16_65), 4.00/0.87 inference(resolution,[],[f1233,f466])). 4.00/0.87 tff(f1233,plain,( 4.00/0.87 ~$less(sK0,1) | spl16_65), 4.00/0.87 inference(avatar_component_clause,[],[f1232])). 4.00/0.87 tff(f5440,plain,( 4.00/0.87 spl16_224 | spl16_35 | spl16_65), 4.00/0.87 inference(avatar_split_clause,[],[f4662,f1232,f782,f4168])). 4.00/0.87 tff(f4168,plain,( 4.00/0.87 spl16_224 <=> ! [X13 : uni,X12 : uni,X11 : ty] : (get(X11,int,X13,t2tb(sK9(X11,X12,X13,1,sK0))) = X12 | ~sort1(X11,X12))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_224])])). 4.00/0.87 tff(f4662,plain,( 4.00/0.87 ( ! [X11 : ty,X12 : uni,X13 : uni] : (0 = min(0,0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,1,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_65), 4.00/0.87 inference(superposition,[],[f1510,f464])). 4.00/0.87 tff(f5439,plain,( 4.00/0.87 spl16_222 | spl16_35 | spl16_65), 4.00/0.87 inference(avatar_split_clause,[],[f4667,f1232,f782,f4161])). 4.00/0.87 tff(f4667,plain,( 4.00/0.87 ( ! [X10 : uni,X8 : ty,X9 : uni] : (0 = min(0,0) | ~$less(sK9(X8,X9,X10,1,sK0),1) | ~sort1(X8,X9)) ) | spl16_65), 4.00/0.87 inference(superposition,[],[f1513,f463])). 4.00/0.87 tff(f1513,plain,( 4.00/0.87 ( ! [X70 : uni,X71 : uni,X69 : ty] : (0 = min(0,occ1(X69,X70,X71,1,sK0))) ) | spl16_65), 4.00/0.87 inference(resolution,[],[f1244,f407])). 4.00/0.87 tff(f5438,plain,( 4.00/0.87 spl16_224 | spl16_35 | spl16_65), 4.00/0.87 inference(avatar_split_clause,[],[f4668,f1232,f782,f4168])). 4.00/0.87 tff(f4668,plain,( 4.00/0.87 ( ! [X11 : ty,X12 : uni,X13 : uni] : (0 = min(0,0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,1,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_65), 4.00/0.87 inference(superposition,[],[f1513,f464])). 4.00/0.87 tff(f5437,plain,( 4.00/0.87 spl16_2 | ~spl16_309 | spl16_46), 4.00/0.87 inference(avatar_split_clause,[],[f989,f983,f5435,f539])). 4.00/0.87 tff(f983,plain,( 4.00/0.87 spl16_46 <=> $less(0,$uminus(sK0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_46])])). 4.00/0.87 tff(f989,plain,( 4.00/0.87 ~$less(sK0,abs(0)) | $less(sK0,0) | spl16_46), 4.00/0.87 inference(resolution,[],[f984,f419])). 4.00/0.87 tff(f984,plain,( 4.00/0.87 ~$less(0,$uminus(sK0)) | spl16_46), 4.00/0.87 inference(avatar_component_clause,[],[f983])). 4.00/0.87 tff(f5433,plain,( 4.00/0.87 spl16_73 | ~spl16_308 | spl16_76), 4.00/0.87 inference(avatar_split_clause,[],[f1704,f1675,f5431,f1634])). 4.00/0.87 tff(f1634,plain,( 4.00/0.87 spl16_73 <=> $less($sum(sK0,0),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_73])])). 4.00/0.87 tff(f1675,plain,( 4.00/0.87 spl16_76 <=> $less(0,$uminus($sum(sK0,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_76])])). 4.00/0.87 tff(f1704,plain,( 4.00/0.87 ~$less($sum(sK0,0),abs(0)) | $less($sum(sK0,0),0) | spl16_76), 4.00/0.87 inference(resolution,[],[f1676,f419])). 4.00/0.87 tff(f1676,plain,( 4.00/0.87 ~$less(0,$uminus($sum(sK0,0))) | spl16_76), 4.00/0.87 inference(avatar_component_clause,[],[f1675])). 4.00/0.87 tff(f5429,plain,( 4.00/0.87 spl16_3 | ~spl16_307 | spl16_137), 4.00/0.87 inference(avatar_split_clause,[],[f2521,f2516,f5427,f543])). 4.00/0.87 tff(f2521,plain,( 4.00/0.87 ~$less(sK2,abs(0)) | $less(sK2,0) | spl16_137), 4.00/0.87 inference(resolution,[],[f2517,f419])). 4.00/0.87 tff(f5425,plain,( 4.00/0.87 spl16_223 | ~spl16_306 | spl16_226), 4.00/0.87 inference(avatar_split_clause,[],[f4236,f4205,f5423,f4164])). 4.00/0.87 tff(f4205,plain,( 4.00/0.87 spl16_226 <=> $less(0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_226])])). 4.00/0.87 tff(f4236,plain,( 4.00/0.87 ~$less($sum(sK0,-1),abs(0)) | $less($sum(sK0,-1),0) | spl16_226), 4.00/0.87 inference(resolution,[],[f4206,f419])). 4.00/0.87 tff(f4206,plain,( 4.00/0.87 ~$less(0,$uminus($sum(sK0,-1))) | spl16_226), 4.00/0.87 inference(avatar_component_clause,[],[f4205])). 4.00/0.87 tff(f5421,plain,( 4.00/0.87 spl16_134 | ~spl16_131 | ~spl16_136), 4.00/0.87 inference(avatar_split_clause,[],[f5420,f2375,f2355,f2367])). 4.00/0.87 tff(f2367,plain,( 4.00/0.87 spl16_134 <=> $uminus(sK0) = min($uminus(sK0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_134])])). 4.00/0.87 tff(f2355,plain,( 4.00/0.87 spl16_131 <=> $uminus(sK0) = min(sK2,$uminus(sK0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_131])])). 4.00/0.87 tff(f2375,plain,( 4.00/0.87 spl16_136 <=> min(sK2,$uminus(sK0)) = min($uminus(sK0),sK2)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_136])])). 4.00/0.87 tff(f5420,plain,( 4.00/0.87 $uminus(sK0) = min($uminus(sK0),sK2) | (~spl16_131 | ~spl16_136)), 4.00/0.87 inference(forward_demodulation,[],[f2376,f2356])). 4.00/0.87 tff(f2356,plain,( 4.00/0.87 $uminus(sK0) = min(sK2,$uminus(sK0)) | ~spl16_131), 4.00/0.87 inference(avatar_component_clause,[],[f2355])). 4.00/0.87 tff(f2376,plain,( 4.00/0.87 min(sK2,$uminus(sK0)) = min($uminus(sK0),sK2) | ~spl16_136), 4.00/0.87 inference(avatar_component_clause,[],[f2375])). 4.00/0.87 tff(f5419,plain,( 4.00/0.87 ~spl16_304 | ~spl16_305 | spl16_34), 4.00/0.87 inference(avatar_split_clause,[],[f5408,f773,f5417,f5414])). 4.00/0.87 tff(f5417,plain,( 4.00/0.87 spl16_305 <=> le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_305])])). 4.00/0.87 tff(f773,plain,( 4.00/0.87 spl16_34 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_34])])). 4.00/0.87 tff(f5408,plain,( 4.00/0.87 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~sort1(map(int,elt7),t2tb12(sK1)) | spl16_34), 4.00/0.87 inference(superposition,[],[f774,f433])). 4.00/0.87 tff(f774,plain,( 4.00/0.87 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_34), 4.00/0.87 inference(avatar_component_clause,[],[f773])). 4.00/0.87 tff(f5412,plain,( 4.00/0.87 spl16_303 | spl16_34), 4.00/0.87 inference(avatar_split_clause,[],[f5407,f773,f5410])). 4.00/0.87 tff(f5410,plain,( 4.00/0.87 spl16_303 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_303])])). 4.00/0.87 tff(f5407,plain,( 4.00/0.87 le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_34), 4.00/0.87 inference(resolution,[],[f774,f396])). 4.00/0.87 tff(f5354,plain,( 4.00/0.87 spl16_302 | spl16_223 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5324,f5306,f4164,f5351])). 4.00/0.87 tff(f5351,plain,( 4.00/0.87 spl16_302 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_302])])). 4.00/0.87 tff(f5306,plain,( 4.00/0.87 spl16_294 <=> $less(sK0,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_294])])). 4.00/0.87 tff(f5324,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less($sum(sK0,-1),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f520])). 4.00/0.87 tff(f5307,plain,( 4.00/0.87 ~$less(sK0,$sum(sK0,-1)) | spl16_294), 4.00/0.87 inference(avatar_component_clause,[],[f5306])). 4.00/0.87 tff(f5349,plain,( 4.00/0.87 spl16_301 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5317,f5306,f5347])). 4.00/0.87 tff(f5347,plain,( 4.00/0.87 spl16_301 <=> min(sK0,$sum(sK0,-1)) = min($sum(sK0,-1),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_301])])). 4.00/0.87 tff(f5317,plain,( 4.00/0.87 min(sK0,$sum(sK0,-1)) = min($sum(sK0,-1),sK0) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f409])). 4.00/0.87 tff(f5345,plain,( 4.00/0.87 spl16_300 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5316,f5306,f5343])). 4.00/0.87 tff(f5343,plain,( 4.00/0.87 spl16_300 <=> max(sK0,$sum(sK0,-1)) = max($sum(sK0,-1),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_300])])). 4.00/0.87 tff(f5316,plain,( 4.00/0.87 max(sK0,$sum(sK0,-1)) = max($sum(sK0,-1),sK0) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f408])). 4.00/0.87 tff(f5341,plain,( 4.00/0.87 spl16_299 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5315,f5306,f5339])). 4.00/0.87 tff(f5339,plain,( 4.00/0.87 spl16_299 <=> $sum(sK0,-1) = min($sum(sK0,-1),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_299])])). 4.00/0.87 tff(f5315,plain,( 4.00/0.87 $sum(sK0,-1) = min($sum(sK0,-1),sK0) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f407])). 4.00/0.87 tff(f5337,plain,( 4.00/0.87 spl16_298 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5314,f5306,f5335])). 4.00/0.87 tff(f5335,plain,( 4.00/0.87 spl16_298 <=> sK0 = max($sum(sK0,-1),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_298])])). 4.00/0.87 tff(f5314,plain,( 4.00/0.87 sK0 = max($sum(sK0,-1),sK0) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f406])). 4.00/0.87 tff(f5333,plain,( 4.00/0.87 spl16_297 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5313,f5306,f5331])). 4.00/0.87 tff(f5331,plain,( 4.00/0.87 spl16_297 <=> sK0 = max(sK0,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_297])])). 4.00/0.87 tff(f5313,plain,( 4.00/0.87 sK0 = max(sK0,$sum(sK0,-1)) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f405])). 4.00/0.87 tff(f5329,plain,( 4.00/0.87 spl16_296 | spl16_294), 4.00/0.87 inference(avatar_split_clause,[],[f5312,f5306,f5327])). 4.00/0.87 tff(f5327,plain,( 4.00/0.87 spl16_296 <=> $sum(sK0,-1) = min(sK0,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_296])])). 4.00/0.87 tff(f5312,plain,( 4.00/0.87 $sum(sK0,-1) = min(sK0,$sum(sK0,-1)) | spl16_294), 4.00/0.87 inference(resolution,[],[f5307,f404])). 4.00/0.87 tff(f5311,plain,( 4.00/0.87 ~spl16_294 | spl16_295 | spl16_2 | ~spl16_243), 4.00/0.87 inference(avatar_split_clause,[],[f5304,f4312,f539,f5309,f5306])). 4.00/0.87 tff(f5309,plain,( 4.00/0.87 spl16_295 <=> $less($uminus($sum(sK0,-1)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_295])])). 4.00/0.87 tff(f5304,plain,( 4.00/0.87 $less($uminus($sum(sK0,-1)),sK0) | ~$less(sK0,$sum(sK0,-1)) | (spl16_2 | ~spl16_243)), 4.00/0.87 inference(superposition,[],[f4313,f556])). 4.00/0.87 tff(f556,plain,( 4.00/0.87 ( ! [X5 : $int] : (sK0 = mod(sK0,X5) | ~$less(sK0,X5)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f418])). 4.00/0.87 tff(f5245,plain,( 4.00/0.87 spl16_291 | spl16_2 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f5235,f4201,f700,f539,f5116])). 4.00/0.87 tff(f5116,plain,( 4.00/0.87 spl16_291 <=> $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_291])])). 4.00/0.87 tff(f700,plain,( 4.00/0.87 spl16_25 <=> 0 = abs(0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_25])])). 4.00/0.87 tff(f4201,plain,( 4.00/0.87 spl16_225 <=> $sum(sK0,-1) = abs($sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_225])])). 4.00/0.87 tff(f5235,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),sK0) | (spl16_2 | ~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f5009,f4202])). 4.00/0.87 tff(f4202,plain,( 4.00/0.87 $sum(sK0,-1) = abs($sum(sK0,-1)) | ~spl16_225), 4.00/0.87 inference(avatar_component_clause,[],[f4201])). 4.00/0.87 tff(f5009,plain,( 4.00/0.87 ( ! [X4 : $int] : ($uminus(abs(X4)) = min($uminus(abs(X4)),sK0)) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(resolution,[],[f5001,f407])). 4.00/0.87 tff(f5001,plain,( 4.00/0.87 ( ! [X2 : $int] : (~$less(sK0,$uminus(abs(X2)))) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(evaluation,[],[f4994])). 4.00/0.87 tff(f4994,plain,( 4.00/0.87 ( ! [X2 : $int] : ($less(0,0) | ~$less(sK0,$uminus(abs(X2)))) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(superposition,[],[f571,f2572])). 4.00/0.87 tff(f2572,plain,( 4.00/0.87 ( ! [X11 : ty,X14 : $int,X12 : uni,X13 : uni] : (0 = occ1(X11,X12,X13,0,$uminus(abs(X14)))) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f2505,f465])). 4.00/0.87 tff(f2505,plain,( 4.00/0.87 ( ! [X9 : $int] : (~$less(0,$uminus(abs(X9)))) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f714,f367])). 4.00/0.87 tff(f367,plain,( 4.00/0.87 ( ! [X0 : $int] : (~$less(abs(X0),0)) )), 4.00/0.87 inference(cnf_transformation,[],[f147])). 4.00/0.87 tff(f147,plain,( 4.00/0.87 ! [X0 : $int] : ~$less(abs(X0),0)), 4.00/0.87 inference(rectify,[],[f101])). 4.00/0.87 tff(f101,plain,( 4.00/0.87 ! [X7 : $int] : ~$less(abs(X7),0)), 4.00/0.87 inference(theory_normalization,[],[f65])). 4.00/0.87 tff(f65,axiom,( 4.00/0.87 ! [X7 : $int] : $lesseq(0,abs(X7))), 4.00/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_pos)). 4.00/0.87 tff(f714,plain,( 4.00/0.87 ( ! [X1 : $int] : ($less(X1,0) | ~$less(0,$uminus(X1))) ) | ~spl16_25), 4.00/0.87 inference(superposition,[],[f421,f701])). 4.00/0.87 tff(f701,plain,( 4.00/0.87 0 = abs(0) | ~spl16_25), 4.00/0.87 inference(avatar_component_clause,[],[f700])). 4.00/0.87 tff(f5244,plain,( 4.00/0.87 spl16_285 | spl16_2 | ~spl16_25 | ~spl16_75), 4.00/0.87 inference(avatar_split_clause,[],[f5234,f1671,f700,f539,f5074])). 4.00/0.87 tff(f5074,plain,( 4.00/0.87 spl16_285 <=> $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_285])])). 4.00/0.87 tff(f1671,plain,( 4.00/0.87 spl16_75 <=> $sum(sK0,0) = abs($sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_75])])). 4.00/0.87 tff(f5234,plain,( 4.00/0.87 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),sK0) | (spl16_2 | ~spl16_25 | ~spl16_75)), 4.00/0.87 inference(superposition,[],[f5009,f1672])). 4.00/0.87 tff(f1672,plain,( 4.00/0.87 $sum(sK0,0) = abs($sum(sK0,0)) | ~spl16_75), 4.00/0.87 inference(avatar_component_clause,[],[f1671])). 4.00/0.87 tff(f5230,plain,( 4.00/0.87 spl16_288 | spl16_2 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f5222,f4201,f700,f539,f5104])). 4.00/0.87 tff(f5104,plain,( 4.00/0.87 spl16_288 <=> $uminus($sum(sK0,-1)) = min(sK0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_288])])). 4.00/0.87 tff(f5222,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min(sK0,$uminus($sum(sK0,-1))) | (spl16_2 | ~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f5006,f4202])). 4.00/0.87 tff(f5006,plain,( 4.00/0.87 ( ! [X1 : $int] : ($uminus(abs(X1)) = min(sK0,$uminus(abs(X1)))) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(resolution,[],[f5001,f404])). 4.00/0.87 tff(f5229,plain,( 4.00/0.87 spl16_282 | spl16_2 | ~spl16_25 | ~spl16_75), 4.00/0.87 inference(avatar_split_clause,[],[f5221,f1671,f700,f539,f5062])). 4.00/0.87 tff(f5062,plain,( 4.00/0.87 spl16_282 <=> $uminus($sum(sK0,0)) = min(sK0,$uminus($sum(sK0,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_282])])). 4.00/0.87 tff(f5221,plain,( 4.00/0.87 $uminus($sum(sK0,0)) = min(sK0,$uminus($sum(sK0,0))) | (spl16_2 | ~spl16_25 | ~spl16_75)), 4.00/0.87 inference(superposition,[],[f5006,f1672])). 4.00/0.87 tff(f5158,plain,( 4.00/0.87 spl16_290 | spl16_2 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f5147,f4201,f700,f539,f5112])). 4.00/0.87 tff(f5112,plain,( 4.00/0.87 spl16_290 <=> sK0 = max($uminus($sum(sK0,-1)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_290])])). 4.00/0.87 tff(f5147,plain,( 4.00/0.87 sK0 = max($uminus($sum(sK0,-1)),sK0) | (spl16_2 | ~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f5008,f4202])). 4.00/0.87 tff(f5008,plain,( 4.00/0.87 ( ! [X3 : $int] : (sK0 = max($uminus(abs(X3)),sK0)) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(resolution,[],[f5001,f406])). 4.00/0.87 tff(f5157,plain,( 4.00/0.87 spl16_284 | spl16_2 | ~spl16_25 | ~spl16_75), 4.00/0.87 inference(avatar_split_clause,[],[f5146,f1671,f700,f539,f5070])). 4.00/0.87 tff(f5070,plain,( 4.00/0.87 spl16_284 <=> sK0 = max($uminus($sum(sK0,0)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_284])])). 4.00/0.87 tff(f5146,plain,( 4.00/0.87 sK0 = max($uminus($sum(sK0,0)),sK0) | (spl16_2 | ~spl16_25 | ~spl16_75)), 4.00/0.87 inference(superposition,[],[f5008,f1672])). 4.00/0.87 tff(f5142,plain,( 4.00/0.87 spl16_289 | spl16_2 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f5129,f4201,f700,f539,f5108])). 4.00/0.87 tff(f5108,plain,( 4.00/0.87 spl16_289 <=> sK0 = max(sK0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_289])])). 4.00/0.87 tff(f5129,plain,( 4.00/0.87 sK0 = max(sK0,$uminus($sum(sK0,-1))) | (spl16_2 | ~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f5007,f4202])). 4.00/0.87 tff(f5007,plain,( 4.00/0.87 ( ! [X2 : $int] : (sK0 = max(sK0,$uminus(abs(X2)))) ) | (spl16_2 | ~spl16_25)), 4.00/0.87 inference(resolution,[],[f5001,f405])). 4.00/0.87 tff(f5141,plain,( 4.00/0.87 spl16_283 | spl16_2 | ~spl16_25 | ~spl16_75), 4.00/0.87 inference(avatar_split_clause,[],[f5128,f1671,f700,f539,f5066])). 4.00/0.87 tff(f5066,plain,( 4.00/0.87 spl16_283 <=> sK0 = max(sK0,$uminus($sum(sK0,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_283])])). 4.00/0.87 tff(f5128,plain,( 4.00/0.87 sK0 = max(sK0,$uminus($sum(sK0,0))) | (spl16_2 | ~spl16_25 | ~spl16_75)), 4.00/0.87 inference(superposition,[],[f5007,f1672])). 4.00/0.87 tff(f5126,plain,( 4.00/0.87 spl16_293 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5091,f5034,f5124])). 4.00/0.87 tff(f5124,plain,( 4.00/0.87 spl16_293 <=> min(sK0,$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_293])])). 4.00/0.87 tff(f5034,plain,( 4.00/0.87 spl16_281 <=> $less(sK0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_281])])). 4.00/0.87 tff(f5091,plain,( 4.00/0.87 min(sK0,$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),sK0) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f409])). 4.00/0.87 tff(f5035,plain,( 4.00/0.87 ~$less(sK0,$uminus($sum(sK0,-1))) | spl16_281), 4.00/0.87 inference(avatar_component_clause,[],[f5034])). 4.00/0.87 tff(f5122,plain,( 4.00/0.87 spl16_292 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5090,f5034,f5120])). 4.00/0.87 tff(f5120,plain,( 4.00/0.87 spl16_292 <=> max(sK0,$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_292])])). 4.00/0.87 tff(f5090,plain,( 4.00/0.87 max(sK0,$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),sK0) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f408])). 4.00/0.87 tff(f5118,plain,( 4.00/0.87 spl16_291 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5089,f5034,f5116])). 4.00/0.87 tff(f5089,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),sK0) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f407])). 4.00/0.87 tff(f5114,plain,( 4.00/0.87 spl16_290 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5088,f5034,f5112])). 4.00/0.87 tff(f5088,plain,( 4.00/0.87 sK0 = max($uminus($sum(sK0,-1)),sK0) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f406])). 4.00/0.87 tff(f5110,plain,( 4.00/0.87 spl16_289 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5087,f5034,f5108])). 4.00/0.87 tff(f5087,plain,( 4.00/0.87 sK0 = max(sK0,$uminus($sum(sK0,-1))) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f405])). 4.00/0.87 tff(f5106,plain,( 4.00/0.87 spl16_288 | spl16_281), 4.00/0.87 inference(avatar_split_clause,[],[f5086,f5034,f5104])). 4.00/0.87 tff(f5086,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min(sK0,$uminus($sum(sK0,-1))) | spl16_281), 4.00/0.87 inference(resolution,[],[f5035,f404])). 4.00/0.87 tff(f5084,plain,( 4.00/0.87 spl16_287 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5049,f5030,f5082])). 4.00/0.87 tff(f5082,plain,( 4.00/0.87 spl16_287 <=> min(sK0,$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_287])])). 4.00/0.87 tff(f5030,plain,( 4.00/0.87 spl16_280 <=> $less(sK0,$uminus($sum(sK0,0)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_280])])). 4.00/0.87 tff(f5049,plain,( 4.00/0.87 min(sK0,$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),sK0) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f409])). 4.00/0.87 tff(f5031,plain,( 4.00/0.87 ~$less(sK0,$uminus($sum(sK0,0))) | spl16_280), 4.00/0.87 inference(avatar_component_clause,[],[f5030])). 4.00/0.87 tff(f5080,plain,( 4.00/0.87 spl16_286 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5048,f5030,f5078])). 4.00/0.87 tff(f5078,plain,( 4.00/0.87 spl16_286 <=> max(sK0,$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_286])])). 4.00/0.87 tff(f5048,plain,( 4.00/0.87 max(sK0,$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),sK0) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f408])). 4.00/0.87 tff(f5076,plain,( 4.00/0.87 spl16_285 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5047,f5030,f5074])). 4.00/0.87 tff(f5047,plain,( 4.00/0.87 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),sK0) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f407])). 4.00/0.87 tff(f5072,plain,( 4.00/0.87 spl16_284 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5046,f5030,f5070])). 4.00/0.87 tff(f5046,plain,( 4.00/0.87 sK0 = max($uminus($sum(sK0,0)),sK0) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f406])). 4.00/0.87 tff(f5068,plain,( 4.00/0.87 spl16_283 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5045,f5030,f5066])). 4.00/0.87 tff(f5045,plain,( 4.00/0.87 sK0 = max(sK0,$uminus($sum(sK0,0))) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f405])). 4.00/0.87 tff(f5064,plain,( 4.00/0.87 spl16_282 | spl16_280), 4.00/0.87 inference(avatar_split_clause,[],[f5044,f5030,f5062])). 4.00/0.87 tff(f5044,plain,( 4.00/0.87 $uminus($sum(sK0,0)) = min(sK0,$uminus($sum(sK0,0))) | spl16_280), 4.00/0.87 inference(resolution,[],[f5031,f404])). 4.00/0.87 tff(f5036,plain,( 4.00/0.87 ~spl16_281 | spl16_2 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f5022,f4201,f700,f539,f5034])). 4.00/0.87 tff(f5022,plain,( 4.00/0.87 ~$less(sK0,$uminus($sum(sK0,-1))) | (spl16_2 | ~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f5001,f4202])). 4.00/0.87 tff(f5032,plain,( 4.00/0.87 ~spl16_280 | spl16_2 | ~spl16_25 | ~spl16_75), 4.00/0.87 inference(avatar_split_clause,[],[f5021,f1671,f700,f539,f5030])). 4.00/0.87 tff(f5021,plain,( 4.00/0.87 ~$less(sK0,$uminus($sum(sK0,0))) | (spl16_2 | ~spl16_25 | ~spl16_75)), 4.00/0.87 inference(superposition,[],[f5001,f1672])). 4.00/0.87 tff(f4887,plain,( 4.00/0.87 spl16_278 | spl16_279 | spl16_2 | spl16_223), 4.00/0.87 inference(avatar_split_clause,[],[f4876,f4164,f539,f4885,f4882])). 4.00/0.87 tff(f4882,plain,( 4.00/0.87 spl16_278 <=> $less(0,$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_278])])). 4.00/0.87 tff(f4885,plain,( 4.00/0.87 spl16_279 <=> ! [X4 : uni,X5 : uni,X3 : ty] : occ1(X3,X4,X5,$sum(sK0,-1),sK0) = $sum(0,occ1(X3,X4,X5,0,sK0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_279])])). 4.00/0.87 tff(f4876,plain,( 4.00/0.87 ( ! [X3 : ty,X4 : uni,X5 : uni] : (occ1(X3,X4,X5,$sum(sK0,-1),sK0) = $sum(0,occ1(X3,X4,X5,0,sK0)) | $less(0,$sum(sK0,-1))) ) | (spl16_2 | spl16_223)), 4.00/0.87 inference(superposition,[],[f573,f4190])). 4.00/0.87 tff(f4190,plain,( 4.00/0.87 ( ! [X21 : ty,X22 : uni,X23 : uni] : (0 = occ1(X21,X22,X23,$sum(sK0,-1),0)) ) | spl16_223), 4.00/0.87 inference(resolution,[],[f4165,f465])). 4.00/0.87 tff(f4165,plain,( 4.00/0.87 ~$less($sum(sK0,-1),0) | spl16_223), 4.00/0.87 inference(avatar_component_clause,[],[f4164])). 4.00/0.87 tff(f4872,plain,( 4.00/0.87 spl16_2 | spl16_277 | spl16_2), 4.00/0.87 inference(avatar_split_clause,[],[f4866,f539,f4870,f539])). 4.00/0.87 tff(f4870,plain,( 4.00/0.87 spl16_277 <=> ! [X2 : uni,X0 : ty,X1 : uni] : ($less(length1(X0,X1),sK0) | array_eq_sub1(X0,X1,X2,sK0,sK0) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),sK0,sK0) | length1(X0,X1) != length1(X0,X2))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_277])])). 4.00/0.87 tff(f4866,plain,( 4.00/0.87 ( ! [X2 : uni,X0 : ty,X1 : uni] : ($less(length1(X0,X1),sK0) | length1(X0,X1) != length1(X0,X2) | ~map_eq_sub1(X0,elts(X0,X1),elts(X0,X2),sK0,sK0) | array_eq_sub1(X0,X1,X2,sK0,sK0) | $less(sK0,0)) ) | spl16_2), 4.00/0.87 inference(factoring,[],[f560])). 4.00/0.87 tff(f560,plain,( 4.00/0.87 ( ! [X14 : uni,X15 : $int,X12 : ty,X13 : uni] : ($less(length1(X12,X13),sK0) | length1(X12,X13) != length1(X12,X14) | ~map_eq_sub1(X12,elts(X12,X13),elts(X12,X14),X15,sK0) | array_eq_sub1(X12,X13,X14,X15,sK0) | $less(length1(X12,X13),X15) | $less(X15,0)) ) | spl16_2), 4.00/0.87 inference(resolution,[],[f540,f481])). 4.00/0.87 tff(f4727,plain,( 4.00/0.87 spl16_276 | spl16_73 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4697,f4679,f1634,f4724])). 4.00/0.87 tff(f4724,plain,( 4.00/0.87 spl16_276 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_276])])). 4.00/0.87 tff(f4679,plain,( 4.00/0.87 spl16_268 <=> $less(sK0,$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_268])])). 4.00/0.87 tff(f4697,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less($sum(sK0,0),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f520])). 4.00/0.87 tff(f4680,plain,( 4.00/0.87 ~$less(sK0,$sum(sK0,0)) | spl16_268), 4.00/0.87 inference(avatar_component_clause,[],[f4679])). 4.00/0.87 tff(f4722,plain,( 4.00/0.87 spl16_275 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4690,f4679,f4720])). 4.00/0.87 tff(f4720,plain,( 4.00/0.87 spl16_275 <=> min(sK0,$sum(sK0,0)) = min($sum(sK0,0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_275])])). 4.00/0.87 tff(f4690,plain,( 4.00/0.87 min(sK0,$sum(sK0,0)) = min($sum(sK0,0),sK0) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f409])). 4.00/0.87 tff(f4718,plain,( 4.00/0.87 spl16_274 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4689,f4679,f4716])). 4.00/0.87 tff(f4716,plain,( 4.00/0.87 spl16_274 <=> max(sK0,$sum(sK0,0)) = max($sum(sK0,0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_274])])). 4.00/0.87 tff(f4689,plain,( 4.00/0.87 max(sK0,$sum(sK0,0)) = max($sum(sK0,0),sK0) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f408])). 4.00/0.87 tff(f4714,plain,( 4.00/0.87 spl16_273 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4688,f4679,f4712])). 4.00/0.87 tff(f4712,plain,( 4.00/0.87 spl16_273 <=> $sum(sK0,0) = min($sum(sK0,0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_273])])). 4.00/0.87 tff(f4688,plain,( 4.00/0.87 $sum(sK0,0) = min($sum(sK0,0),sK0) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f407])). 4.00/0.87 tff(f4710,plain,( 4.00/0.87 spl16_272 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4687,f4679,f4708])). 4.00/0.87 tff(f4708,plain,( 4.00/0.87 spl16_272 <=> sK0 = max($sum(sK0,0),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_272])])). 4.00/0.87 tff(f4687,plain,( 4.00/0.87 sK0 = max($sum(sK0,0),sK0) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f406])). 4.00/0.87 tff(f4706,plain,( 4.00/0.87 spl16_271 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4686,f4679,f4704])). 4.00/0.87 tff(f4704,plain,( 4.00/0.87 spl16_271 <=> sK0 = max(sK0,$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_271])])). 4.00/0.87 tff(f4686,plain,( 4.00/0.87 sK0 = max(sK0,$sum(sK0,0)) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f405])). 4.00/0.87 tff(f4702,plain,( 4.00/0.87 spl16_270 | spl16_268), 4.00/0.87 inference(avatar_split_clause,[],[f4685,f4679,f4700])). 4.00/0.87 tff(f4700,plain,( 4.00/0.87 spl16_270 <=> $sum(sK0,0) = min(sK0,$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_270])])). 4.00/0.87 tff(f4685,plain,( 4.00/0.87 $sum(sK0,0) = min(sK0,$sum(sK0,0)) | spl16_268), 4.00/0.87 inference(resolution,[],[f4680,f404])). 4.00/0.87 tff(f4684,plain,( 4.00/0.87 ~spl16_268 | spl16_269 | spl16_2 | ~spl16_93), 4.00/0.87 inference(avatar_split_clause,[],[f4677,f1778,f539,f4682,f4679])). 4.00/0.87 tff(f4682,plain,( 4.00/0.87 spl16_269 <=> $less($uminus($sum(sK0,0)),sK0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_269])])). 4.00/0.87 tff(f4677,plain,( 4.00/0.87 $less($uminus($sum(sK0,0)),sK0) | ~$less(sK0,$sum(sK0,0)) | (spl16_2 | ~spl16_93)), 4.00/0.87 inference(superposition,[],[f1779,f556])). 4.00/0.87 tff(f4600,plain,( 4.00/0.87 spl16_266 | spl16_267 | spl16_2 | spl16_73), 4.00/0.87 inference(avatar_split_clause,[],[f4589,f1634,f539,f4598,f4595])). 4.00/0.87 tff(f4595,plain,( 4.00/0.87 spl16_266 <=> $less(0,$sum(sK0,0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_266])])). 4.00/0.87 tff(f4598,plain,( 4.00/0.87 spl16_267 <=> ! [X2 : uni,X0 : ty,X1 : uni] : occ1(X0,X1,X2,$sum(sK0,0),sK0) = $sum(0,occ1(X0,X1,X2,0,sK0))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_267])])). 4.00/0.87 tff(f4589,plain,( 4.00/0.87 ( ! [X2 : uni,X0 : ty,X1 : uni] : (occ1(X0,X1,X2,$sum(sK0,0),sK0) = $sum(0,occ1(X0,X1,X2,0,sK0)) | $less(0,$sum(sK0,0))) ) | (spl16_2 | spl16_73)), 4.00/0.87 inference(superposition,[],[f573,f1660])). 4.00/0.87 tff(f1660,plain,( 4.00/0.87 ( ! [X21 : ty,X22 : uni,X23 : uni] : (0 = occ1(X21,X22,X23,$sum(sK0,0),0)) ) | spl16_73), 4.00/0.87 inference(resolution,[],[f1635,f465])). 4.00/0.87 tff(f1635,plain,( 4.00/0.87 ~$less($sum(sK0,0),0) | spl16_73), 4.00/0.87 inference(avatar_component_clause,[],[f1634])). 4.00/0.87 tff(f4523,plain,( 4.00/0.87 spl16_265 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4488,f4416,f4521])). 4.00/0.87 tff(f4521,plain,( 4.00/0.87 spl16_265 <=> min($sum(sK0,-1),$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_265])])). 4.00/0.87 tff(f4416,plain,( 4.00/0.87 spl16_248 <=> $less($sum(sK0,-1),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_248])])). 4.00/0.87 tff(f4488,plain,( 4.00/0.87 min($sum(sK0,-1),$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),$sum(sK0,-1)) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f409])). 4.00/0.87 tff(f4449,plain,( 4.00/0.87 ~$less($sum(sK0,-1),$uminus($sum(sK0,-1))) | spl16_248), 4.00/0.87 inference(avatar_component_clause,[],[f4416])). 4.00/0.87 tff(f4519,plain,( 4.00/0.87 spl16_264 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4487,f4416,f4517])). 4.00/0.87 tff(f4517,plain,( 4.00/0.87 spl16_264 <=> max($sum(sK0,-1),$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_264])])). 4.00/0.87 tff(f4487,plain,( 4.00/0.87 max($sum(sK0,-1),$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),$sum(sK0,-1)) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f408])). 4.00/0.87 tff(f4515,plain,( 4.00/0.87 spl16_263 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4486,f4416,f4513])). 4.00/0.87 tff(f4513,plain,( 4.00/0.87 spl16_263 <=> $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_263])])). 4.00/0.87 tff(f4486,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),$sum(sK0,-1)) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f407])). 4.00/0.87 tff(f4511,plain,( 4.00/0.87 spl16_262 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4485,f4416,f4509])). 4.00/0.87 tff(f4509,plain,( 4.00/0.87 spl16_262 <=> $sum(sK0,-1) = max($uminus($sum(sK0,-1)),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_262])])). 4.00/0.87 tff(f4485,plain,( 4.00/0.87 $sum(sK0,-1) = max($uminus($sum(sK0,-1)),$sum(sK0,-1)) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f406])). 4.00/0.87 tff(f4507,plain,( 4.00/0.87 spl16_261 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4484,f4416,f4505])). 4.00/0.87 tff(f4505,plain,( 4.00/0.87 spl16_261 <=> $sum(sK0,-1) = max($sum(sK0,-1),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_261])])). 4.00/0.87 tff(f4484,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),$uminus($sum(sK0,-1))) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f405])). 4.00/0.87 tff(f4503,plain,( 4.00/0.87 spl16_260 | spl16_248), 4.00/0.87 inference(avatar_split_clause,[],[f4483,f4416,f4501])). 4.00/0.87 tff(f4501,plain,( 4.00/0.87 spl16_260 <=> $uminus($sum(sK0,-1)) = min($sum(sK0,-1),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_260])])). 4.00/0.87 tff(f4483,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($sum(sK0,-1),$uminus($sum(sK0,-1))) | spl16_248), 4.00/0.87 inference(resolution,[],[f4449,f404])). 4.00/0.87 tff(f4481,plain,( 4.00/0.87 spl16_258 | spl16_259 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4446,f4419,f4479,f4476])). 4.00/0.87 tff(f4476,plain,( 4.00/0.87 spl16_258 <=> ! [X20 : array_elt3] : (~$less($sum(sK0,-1),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus($sum(sK0,-1)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1))))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_258])])). 4.00/0.87 tff(f4479,plain,( 4.00/0.87 spl16_259 <=> $less(abs($uminus($sum(sK0,-1))),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_259])])). 4.00/0.87 tff(f4419,plain,( 4.00/0.87 spl16_249 <=> $less($sum(sK0,-1),abs($uminus($sum(sK0,-1))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_249])])). 4.00/0.87 tff(f4446,plain,( 4.00/0.87 ( ! [X20 : array_elt3] : ($less(abs($uminus($sum(sK0,-1))),0) | ~$less($sum(sK0,-1),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus($sum(sK0,-1)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,-1))))) | ~sorted4(X20)) ) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f520])). 4.00/0.87 tff(f4420,plain,( 4.00/0.87 ~$less($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) | spl16_249), 4.00/0.87 inference(avatar_component_clause,[],[f4419])). 4.00/0.87 tff(f4474,plain,( 4.00/0.87 spl16_257 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4439,f4419,f4472])). 4.00/0.87 tff(f4472,plain,( 4.00/0.87 spl16_257 <=> min($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) = min(abs($uminus($sum(sK0,-1))),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_257])])). 4.00/0.87 tff(f4439,plain,( 4.00/0.87 min($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) = min(abs($uminus($sum(sK0,-1))),$sum(sK0,-1)) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f409])). 4.00/0.87 tff(f4470,plain,( 4.00/0.87 spl16_256 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4438,f4419,f4468])). 4.00/0.87 tff(f4468,plain,( 4.00/0.87 spl16_256 <=> max($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) = max(abs($uminus($sum(sK0,-1))),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_256])])). 4.00/0.87 tff(f4438,plain,( 4.00/0.87 max($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) = max(abs($uminus($sum(sK0,-1))),$sum(sK0,-1)) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f408])). 4.00/0.87 tff(f4466,plain,( 4.00/0.87 spl16_255 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4437,f4419,f4464])). 4.00/0.87 tff(f4464,plain,( 4.00/0.87 spl16_255 <=> abs($uminus($sum(sK0,-1))) = min(abs($uminus($sum(sK0,-1))),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_255])])). 4.00/0.87 tff(f4437,plain,( 4.00/0.87 abs($uminus($sum(sK0,-1))) = min(abs($uminus($sum(sK0,-1))),$sum(sK0,-1)) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f407])). 4.00/0.87 tff(f4462,plain,( 4.00/0.87 spl16_254 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4436,f4419,f4460])). 4.00/0.87 tff(f4460,plain,( 4.00/0.87 spl16_254 <=> $sum(sK0,-1) = max(abs($uminus($sum(sK0,-1))),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_254])])). 4.00/0.87 tff(f4436,plain,( 4.00/0.87 $sum(sK0,-1) = max(abs($uminus($sum(sK0,-1))),$sum(sK0,-1)) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f406])). 4.00/0.87 tff(f4458,plain,( 4.00/0.87 spl16_253 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4435,f4419,f4456])). 4.00/0.87 tff(f4456,plain,( 4.00/0.87 spl16_253 <=> $sum(sK0,-1) = max($sum(sK0,-1),abs($uminus($sum(sK0,-1))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_253])])). 4.00/0.87 tff(f4435,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f405])). 4.00/0.87 tff(f4454,plain,( 4.00/0.87 spl16_252 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4434,f4419,f4452])). 4.00/0.87 tff(f4452,plain,( 4.00/0.87 spl16_252 <=> abs($uminus($sum(sK0,-1))) = min($sum(sK0,-1),abs($uminus($sum(sK0,-1))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_252])])). 4.00/0.87 tff(f4434,plain,( 4.00/0.87 abs($uminus($sum(sK0,-1))) = min($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f404])). 4.00/0.87 tff(f4450,plain,( 4.00/0.87 ~spl16_248 | spl16_249), 4.00/0.87 inference(avatar_split_clause,[],[f4432,f4419,f4416])). 4.00/0.87 tff(f4432,plain,( 4.00/0.87 ~$less($sum(sK0,-1),$uminus($sum(sK0,-1))) | spl16_249), 4.00/0.87 inference(resolution,[],[f4420,f420])). 4.00/0.87 tff(f4431,plain,( 4.00/0.87 spl16_250 | spl16_244), 4.00/0.87 inference(avatar_split_clause,[],[f4402,f4320,f4423])). 4.00/0.87 tff(f4423,plain,( 4.00/0.87 spl16_250 <=> $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_250])])). 4.00/0.87 tff(f4320,plain,( 4.00/0.87 spl16_244 <=> $less($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_244])])). 4.00/0.87 tff(f4402,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(resolution,[],[f4321,f407])). 4.00/0.87 tff(f4321,plain,( 4.00/0.87 ~$less($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(avatar_component_clause,[],[f4320])). 4.00/0.87 tff(f4430,plain,( 4.00/0.87 spl16_251 | spl16_244), 4.00/0.87 inference(avatar_split_clause,[],[f4401,f4320,f4427])). 4.00/0.87 tff(f4427,plain,( 4.00/0.87 spl16_251 <=> $uminus($sum(sK0,-1)) = max($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_251])])). 4.00/0.87 tff(f4401,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = max($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(resolution,[],[f4321,f406])). 4.00/0.87 tff(f4429,plain,( 4.00/0.87 spl16_251 | spl16_244), 4.00/0.87 inference(avatar_split_clause,[],[f4400,f4320,f4427])). 4.00/0.87 tff(f4400,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = max($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(resolution,[],[f4321,f405])). 4.00/0.87 tff(f4425,plain,( 4.00/0.87 spl16_250 | spl16_244), 4.00/0.87 inference(avatar_split_clause,[],[f4399,f4320,f4423])). 4.00/0.87 tff(f4399,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(resolution,[],[f4321,f404])). 4.00/0.87 tff(f4421,plain,( 4.00/0.87 spl16_248 | ~spl16_249 | spl16_244), 4.00/0.87 inference(avatar_split_clause,[],[f4398,f4320,f4419,f4416])). 4.00/0.87 tff(f4398,plain,( 4.00/0.87 ~$less($sum(sK0,-1),abs($uminus($sum(sK0,-1)))) | $less($sum(sK0,-1),$uminus($sum(sK0,-1))) | spl16_244), 4.00/0.87 inference(resolution,[],[f4321,f419])). 4.00/0.87 tff(f4377,plain,( 4.00/0.87 spl16_246 | spl16_245), 4.00/0.87 inference(avatar_split_clause,[],[f4357,f4351,f4369])). 4.00/0.87 tff(f4369,plain,( 4.00/0.87 spl16_246 <=> $sum(sK0,-1) = min($sum(sK0,-1),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_246])])). 4.00/0.87 tff(f4351,plain,( 4.00/0.87 spl16_245 <=> $less($sum(sK0,-1),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_245])])). 4.00/0.87 tff(f4357,plain,( 4.00/0.87 $sum(sK0,-1) = min($sum(sK0,-1),$sum(sK0,-1)) | spl16_245), 4.00/0.87 inference(resolution,[],[f4352,f407])). 4.00/0.87 tff(f4352,plain,( 4.00/0.87 ~$less($sum(sK0,-1),$sum(sK0,-1)) | spl16_245), 4.00/0.87 inference(avatar_component_clause,[],[f4351])). 4.00/0.87 tff(f4376,plain,( 4.00/0.87 spl16_247 | spl16_245), 4.00/0.87 inference(avatar_split_clause,[],[f4356,f4351,f4373])). 4.00/0.87 tff(f4373,plain,( 4.00/0.87 spl16_247 <=> $sum(sK0,-1) = max($sum(sK0,-1),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_247])])). 4.00/0.87 tff(f4356,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),$sum(sK0,-1)) | spl16_245), 4.00/0.87 inference(resolution,[],[f4352,f406])). 4.00/0.87 tff(f4375,plain,( 4.00/0.87 spl16_247 | spl16_245), 4.00/0.87 inference(avatar_split_clause,[],[f4355,f4351,f4373])). 4.00/0.87 tff(f4355,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),$sum(sK0,-1)) | spl16_245), 4.00/0.87 inference(resolution,[],[f4352,f405])). 4.00/0.87 tff(f4371,plain,( 4.00/0.87 spl16_246 | spl16_245), 4.00/0.87 inference(avatar_split_clause,[],[f4354,f4351,f4369])). 4.00/0.87 tff(f4354,plain,( 4.00/0.87 $sum(sK0,-1) = min($sum(sK0,-1),$sum(sK0,-1)) | spl16_245), 4.00/0.87 inference(resolution,[],[f4352,f404])). 4.00/0.87 tff(f4353,plain,( 4.00/0.87 ~spl16_245 | ~spl16_228), 4.00/0.87 inference(avatar_split_clause,[],[f4349,f4213,f4351])). 4.00/0.87 tff(f4213,plain,( 4.00/0.87 spl16_228 <=> $sum(sK0,-1) = max($sum(sK0,-1),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_228])])). 4.00/0.87 tff(f4349,plain,( 4.00/0.87 ~$less($sum(sK0,-1),$sum(sK0,-1)) | ~spl16_228), 4.00/0.87 inference(superposition,[],[f393,f4214])). 4.00/0.87 tff(f4214,plain,( 4.00/0.87 $sum(sK0,-1) = max($sum(sK0,-1),0) | ~spl16_228), 4.00/0.87 inference(avatar_component_clause,[],[f4213])). 4.00/0.87 tff(f4322,plain,( 4.00/0.87 ~spl16_244 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4303,f4201,f700,f4320])). 4.00/0.87 tff(f4303,plain,( 4.00/0.87 ~$less($uminus($sum(sK0,-1)),$uminus($sum(sK0,-1))) | (~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f3561,f4202])). 4.00/0.87 tff(f3561,plain,( 4.00/0.87 ( ! [X1 : $int] : (~$less($uminus(abs(X1)),$uminus(abs(X1)))) ) | ~spl16_25), 4.00/0.87 inference(superposition,[],[f394,f2566])). 4.00/0.87 tff(f2566,plain,( 4.00/0.87 ( ! [X5 : $int] : ($uminus(abs(X5)) = min(0,$uminus(abs(X5)))) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f2505,f404])). 4.00/0.87 tff(f4318,plain,( 4.00/0.87 spl16_236 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4302,f4201,f700,f4267])). 4.00/0.87 tff(f4267,plain,( 4.00/0.87 spl16_236 <=> $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_236])])). 4.00/0.87 tff(f4302,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),0) | (~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f2569,f4202])). 4.00/0.87 tff(f2569,plain,( 4.00/0.87 ( ! [X8 : $int] : ($uminus(abs(X8)) = min($uminus(abs(X8)),0)) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f2505,f407])). 4.00/0.87 tff(f4317,plain,( 4.00/0.87 spl16_235 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4301,f4201,f700,f4263])). 4.00/0.87 tff(f4263,plain,( 4.00/0.87 spl16_235 <=> 0 = max($uminus($sum(sK0,-1)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_235])])). 4.00/0.87 tff(f4301,plain,( 4.00/0.87 0 = max($uminus($sum(sK0,-1)),0) | (~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f2568,f4202])). 4.00/0.87 tff(f2568,plain,( 4.00/0.87 ( ! [X7 : $int] : (0 = max($uminus(abs(X7)),0)) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f2505,f406])). 4.00/0.87 tff(f4316,plain,( 4.00/0.87 spl16_234 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4300,f4201,f700,f4259])). 4.00/0.87 tff(f4259,plain,( 4.00/0.87 spl16_234 <=> 0 = max(0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_234])])). 4.00/0.87 tff(f4300,plain,( 4.00/0.87 0 = max(0,$uminus($sum(sK0,-1))) | (~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f2567,f4202])). 4.00/0.87 tff(f2567,plain,( 4.00/0.87 ( ! [X6 : $int] : (0 = max(0,$uminus(abs(X6)))) ) | ~spl16_25), 4.00/0.87 inference(resolution,[],[f2505,f405])). 4.00/0.87 tff(f4315,plain,( 4.00/0.87 spl16_233 | ~spl16_25 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4299,f4201,f700,f4255])). 4.00/0.87 tff(f4255,plain,( 4.00/0.87 spl16_233 <=> $uminus($sum(sK0,-1)) = min(0,$uminus($sum(sK0,-1)))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_233])])). 4.00/0.87 tff(f4299,plain,( 4.00/0.87 $uminus($sum(sK0,-1)) = min(0,$uminus($sum(sK0,-1))) | (~spl16_25 | ~spl16_225)), 4.00/0.87 inference(superposition,[],[f2566,f4202])). 4.00/0.87 tff(f4314,plain,( 4.00/0.87 spl16_241 | spl16_243 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4295,f4201,f4312,f4305])). 4.00/0.87 tff(f4305,plain,( 4.00/0.87 spl16_241 <=> 0 = $sum(sK0,-1)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_241])])). 4.00/0.87 tff(f4295,plain,( 4.00/0.87 ( ! [X2 : $int] : ($less($uminus($sum(sK0,-1)),mod(X2,$sum(sK0,-1))) | 0 = $sum(sK0,-1)) ) | ~spl16_225), 4.00/0.87 inference(superposition,[],[f402,f4202])). 4.00/0.87 tff(f4310,plain,( 4.00/0.87 spl16_241 | spl16_242 | ~spl16_225), 4.00/0.87 inference(avatar_split_clause,[],[f4294,f4201,f4308,f4305])). 4.00/0.87 tff(f4308,plain,( 4.00/0.87 spl16_242 <=> ! [X1 : $int] : $less(mod(X1,$sum(sK0,-1)),$sum(sK0,-1))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_242])])). 4.00/0.87 tff(f4294,plain,( 4.00/0.87 ( ! [X1 : $int] : ($less(mod(X1,$sum(sK0,-1)),$sum(sK0,-1)) | 0 = $sum(sK0,-1)) ) | ~spl16_225), 4.00/0.87 inference(superposition,[],[f401,f4202])). 4.00/0.87 tff(f4284,plain,( 4.00/0.87 spl16_239 | spl16_240 | spl16_226), 4.00/0.87 inference(avatar_split_clause,[],[f4249,f4205,f4282,f4279])). 4.00/0.87 tff(f4279,plain,( 4.00/0.87 spl16_239 <=> ! [X22 : array_elt3] : (~$less(0,length1(elt7,t2tb10(X22))) | ~sorted4(X22) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus($sum(sK0,-1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))))), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_239])])). 4.00/0.87 tff(f4282,plain,( 4.00/0.87 spl16_240 <=> $less($uminus($sum(sK0,-1)),0)), 4.00/0.87 introduced(avatar_definition,[new_symbols(naming,[spl16_240])])). 4.00/0.87 tff(f4249,plain,( 4.00/0.87 ( ! [X22 : array_elt3] : ($less($uminus($sum(sK0,-1)),0) | ~$less(0,length1(elt7,t2tb10(X22))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus($sum(sK0,-1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))) | ~sorted4(X22)) ) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f520])). 4.00/0.88 tff(f4277,plain,( 4.00/0.88 spl16_238 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4242,f4205,f4275])). 4.00/0.88 tff(f4275,plain,( 4.00/0.88 spl16_238 <=> min(0,$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_238])])). 4.00/0.88 tff(f4242,plain,( 4.00/0.88 min(0,$uminus($sum(sK0,-1))) = min($uminus($sum(sK0,-1)),0) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f409])). 4.00/0.88 tff(f4273,plain,( 4.00/0.88 spl16_237 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4241,f4205,f4271])). 4.00/0.88 tff(f4271,plain,( 4.00/0.88 spl16_237 <=> max(0,$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_237])])). 4.00/0.88 tff(f4241,plain,( 4.00/0.88 max(0,$uminus($sum(sK0,-1))) = max($uminus($sum(sK0,-1)),0) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f408])). 4.00/0.88 tff(f4269,plain,( 4.00/0.88 spl16_236 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4240,f4205,f4267])). 4.00/0.88 tff(f4240,plain,( 4.00/0.88 $uminus($sum(sK0,-1)) = min($uminus($sum(sK0,-1)),0) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f407])). 4.00/0.88 tff(f4265,plain,( 4.00/0.88 spl16_235 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4239,f4205,f4263])). 4.00/0.88 tff(f4239,plain,( 4.00/0.88 0 = max($uminus($sum(sK0,-1)),0) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f406])). 4.00/0.88 tff(f4261,plain,( 4.00/0.88 spl16_234 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4238,f4205,f4259])). 4.00/0.88 tff(f4238,plain,( 4.00/0.88 0 = max(0,$uminus($sum(sK0,-1))) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f405])). 4.00/0.88 tff(f4257,plain,( 4.00/0.88 spl16_233 | spl16_226), 4.00/0.88 inference(avatar_split_clause,[],[f4237,f4205,f4255])). 4.00/0.88 tff(f4237,plain,( 4.00/0.88 $uminus($sum(sK0,-1)) = min(0,$uminus($sum(sK0,-1))) | spl16_226), 4.00/0.88 inference(resolution,[],[f4206,f404])). 4.00/0.88 tff(f4231,plain,( 4.00/0.88 spl16_232 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4189,f4164,f4229])). 4.00/0.88 tff(f4229,plain,( 4.00/0.88 spl16_232 <=> min($sum(sK0,-1),0) = min(0,$sum(sK0,-1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_232])])). 4.00/0.88 tff(f4189,plain,( 4.00/0.88 min($sum(sK0,-1),0) = min(0,$sum(sK0,-1)) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f409])). 4.00/0.88 tff(f4227,plain,( 4.00/0.88 spl16_231 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4188,f4164,f4225])). 4.00/0.88 tff(f4225,plain,( 4.00/0.88 spl16_231 <=> max($sum(sK0,-1),0) = max(0,$sum(sK0,-1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_231])])). 4.00/0.88 tff(f4188,plain,( 4.00/0.88 max($sum(sK0,-1),0) = max(0,$sum(sK0,-1)) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f408])). 4.00/0.88 tff(f4223,plain,( 4.00/0.88 spl16_230 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4187,f4164,f4221])). 4.00/0.88 tff(f4221,plain,( 4.00/0.88 spl16_230 <=> 0 = min(0,$sum(sK0,-1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_230])])). 4.00/0.88 tff(f4187,plain,( 4.00/0.88 0 = min(0,$sum(sK0,-1)) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f407])). 4.00/0.88 tff(f4219,plain,( 4.00/0.88 spl16_229 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4186,f4164,f4217])). 4.00/0.88 tff(f4217,plain,( 4.00/0.88 spl16_229 <=> $sum(sK0,-1) = max(0,$sum(sK0,-1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_229])])). 4.00/0.88 tff(f4186,plain,( 4.00/0.88 $sum(sK0,-1) = max(0,$sum(sK0,-1)) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f406])). 4.00/0.88 tff(f4215,plain,( 4.00/0.88 spl16_228 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4185,f4164,f4213])). 4.00/0.88 tff(f4185,plain,( 4.00/0.88 $sum(sK0,-1) = max($sum(sK0,-1),0) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f405])). 4.00/0.88 tff(f4211,plain,( 4.00/0.88 spl16_227 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4184,f4164,f4209])). 4.00/0.88 tff(f4209,plain,( 4.00/0.88 spl16_227 <=> 0 = min($sum(sK0,-1),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_227])])). 4.00/0.88 tff(f4184,plain,( 4.00/0.88 0 = min($sum(sK0,-1),0) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f404])). 4.00/0.88 tff(f4207,plain,( 4.00/0.88 ~spl16_226 | ~spl16_25 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4183,f4164,f700,f4205])). 4.00/0.88 tff(f4183,plain,( 4.00/0.88 ~$less(0,$uminus($sum(sK0,-1))) | (~spl16_25 | spl16_223)), 4.00/0.88 inference(resolution,[],[f4165,f714])). 4.00/0.88 tff(f4203,plain,( 4.00/0.88 spl16_225 | spl16_223), 4.00/0.88 inference(avatar_split_clause,[],[f4171,f4164,f4201])). 4.00/0.88 tff(f4171,plain,( 4.00/0.88 $sum(sK0,-1) = abs($sum(sK0,-1)) | spl16_223), 4.00/0.88 inference(resolution,[],[f4165,f378])). 4.00/0.88 tff(f4170,plain,( 4.00/0.88 spl16_224 | ~spl16_223 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f4159,f1232,f4164,f4168])). 4.00/0.88 tff(f4159,plain,( 4.00/0.88 ( ! [X11 : ty,X12 : uni,X13 : uni] : (~$less($sum(sK0,-1),0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,1,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_65), 4.00/0.88 inference(superposition,[],[f1252,f464])). 4.00/0.88 tff(f1252,plain,( 4.00/0.88 ( ! [X8 : uni,X6 : ty,X7 : uni] : (~$less($sum(sK0,-1),occ1(X6,X7,X8,1,sK0))) ) | spl16_65), 4.00/0.88 inference(evaluation,[],[f1245])). 4.00/0.88 tff(f1245,plain,( 4.00/0.88 ( ! [X8 : uni,X6 : ty,X7 : uni] : (~$less($sum(sK0,$uminus(1)),occ1(X6,X7,X8,1,sK0))) ) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f467])). 4.00/0.88 tff(f4166,plain,( 4.00/0.88 spl16_222 | ~spl16_223 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f4158,f1232,f4164,f4161])). 4.00/0.88 tff(f4158,plain,( 4.00/0.88 ( ! [X10 : uni,X8 : ty,X9 : uni] : (~$less($sum(sK0,-1),0) | ~$less(sK9(X8,X9,X10,1,sK0),1) | ~sort1(X8,X9)) ) | spl16_65), 4.00/0.88 inference(superposition,[],[f1252,f463])). 4.00/0.88 tff(f4071,plain,( 4.00/0.88 spl16_221 | spl16_33 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4041,f764,f768,f4068])). 4.00/0.88 tff(f4068,plain,( 4.00/0.88 spl16_221 <=> ! [X20 : array_elt3] : (~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_221])])). 4.00/0.88 tff(f768,plain,( 4.00/0.88 spl16_33 <=> $less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_33])])). 4.00/0.88 tff(f764,plain,( 4.00/0.88 spl16_32 <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_32])])). 4.00/0.88 tff(f4041,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~sorted4(X20)) ) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f520])). 4.00/0.88 tff(f765,plain,( 4.00/0.88 ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(avatar_component_clause,[],[f764])). 4.00/0.88 tff(f4066,plain,( 4.00/0.88 spl16_220 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4034,f764,f4064])). 4.00/0.88 tff(f4064,plain,( 4.00/0.88 spl16_220 <=> min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_220])])). 4.00/0.88 tff(f4034,plain,( 4.00/0.88 min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f409])). 4.00/0.88 tff(f4062,plain,( 4.00/0.88 spl16_219 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4033,f764,f4060])). 4.00/0.88 tff(f4060,plain,( 4.00/0.88 spl16_219 <=> max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_219])])). 4.00/0.88 tff(f4033,plain,( 4.00/0.88 max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f408])). 4.00/0.88 tff(f4058,plain,( 4.00/0.88 spl16_218 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4032,f764,f4056])). 4.00/0.88 tff(f4056,plain,( 4.00/0.88 spl16_218 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_218])])). 4.00/0.88 tff(f4032,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f407])). 4.00/0.88 tff(f4054,plain,( 4.00/0.88 spl16_217 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4031,f764,f4052])). 4.00/0.88 tff(f4052,plain,( 4.00/0.88 spl16_217 <=> sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_217])])). 4.00/0.88 tff(f4031,plain,( 4.00/0.88 sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f406])). 4.00/0.88 tff(f4050,plain,( 4.00/0.88 spl16_216 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4030,f764,f4048])). 4.00/0.88 tff(f4048,plain,( 4.00/0.88 spl16_216 <=> sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_216])])). 4.00/0.88 tff(f4030,plain,( 4.00/0.88 sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f405])). 4.00/0.88 tff(f4046,plain,( 4.00/0.88 spl16_215 | spl16_32), 4.00/0.88 inference(avatar_split_clause,[],[f4029,f764,f4044])). 4.00/0.88 tff(f4044,plain,( 4.00/0.88 spl16_215 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_215])])). 4.00/0.88 tff(f4029,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_32), 4.00/0.88 inference(resolution,[],[f765,f404])). 4.00/0.88 tff(f3971,plain,( 4.00/0.88 spl16_214 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3936,f3856,f3969])). 4.00/0.88 tff(f3969,plain,( 4.00/0.88 spl16_214 <=> min($sum(sK0,0),$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_214])])). 4.00/0.88 tff(f3856,plain,( 4.00/0.88 spl16_197 <=> $less($sum(sK0,0),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_197])])). 4.00/0.88 tff(f3936,plain,( 4.00/0.88 min($sum(sK0,0),$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),$sum(sK0,0)) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f409])). 4.00/0.88 tff(f3889,plain,( 4.00/0.88 ~$less($sum(sK0,0),$uminus($sum(sK0,0))) | spl16_197), 4.00/0.88 inference(avatar_component_clause,[],[f3856])). 4.00/0.88 tff(f3967,plain,( 4.00/0.88 spl16_213 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3935,f3856,f3965])). 4.00/0.88 tff(f3965,plain,( 4.00/0.88 spl16_213 <=> max($sum(sK0,0),$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_213])])). 4.00/0.88 tff(f3935,plain,( 4.00/0.88 max($sum(sK0,0),$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),$sum(sK0,0)) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f408])). 4.00/0.88 tff(f3963,plain,( 4.00/0.88 spl16_212 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3934,f3856,f3961])). 4.00/0.88 tff(f3961,plain,( 4.00/0.88 spl16_212 <=> $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_212])])). 4.00/0.88 tff(f3934,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),$sum(sK0,0)) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f407])). 4.00/0.88 tff(f3959,plain,( 4.00/0.88 spl16_211 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3933,f3856,f3957])). 4.00/0.88 tff(f3957,plain,( 4.00/0.88 spl16_211 <=> $sum(sK0,0) = max($uminus($sum(sK0,0)),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_211])])). 4.00/0.88 tff(f3933,plain,( 4.00/0.88 $sum(sK0,0) = max($uminus($sum(sK0,0)),$sum(sK0,0)) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f406])). 4.00/0.88 tff(f3955,plain,( 4.00/0.88 spl16_210 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3932,f3856,f3953])). 4.00/0.88 tff(f3953,plain,( 4.00/0.88 spl16_210 <=> $sum(sK0,0) = max($sum(sK0,0),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_210])])). 4.00/0.88 tff(f3932,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),$uminus($sum(sK0,0))) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f405])). 4.00/0.88 tff(f3951,plain,( 4.00/0.88 spl16_209 | spl16_197), 4.00/0.88 inference(avatar_split_clause,[],[f3931,f3856,f3949])). 4.00/0.88 tff(f3949,plain,( 4.00/0.88 spl16_209 <=> $uminus($sum(sK0,0)) = min($sum(sK0,0),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_209])])). 4.00/0.88 tff(f3931,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($sum(sK0,0),$uminus($sum(sK0,0))) | spl16_197), 4.00/0.88 inference(resolution,[],[f3889,f404])). 4.00/0.88 tff(f3921,plain,( 4.00/0.88 spl16_207 | spl16_208 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3886,f3859,f3919,f3916])). 4.00/0.88 tff(f3916,plain,( 4.00/0.88 spl16_207 <=> ! [X20 : array_elt3] : (~$less($sum(sK0,0),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus($sum(sK0,0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0))))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_207])])). 4.00/0.88 tff(f3919,plain,( 4.00/0.88 spl16_208 <=> $less(abs($uminus($sum(sK0,0))),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_208])])). 4.00/0.88 tff(f3859,plain,( 4.00/0.88 spl16_198 <=> $less($sum(sK0,0),abs($uminus($sum(sK0,0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_198])])). 4.00/0.88 tff(f3886,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(abs($uminus($sum(sK0,0))),0) | ~$less($sum(sK0,0),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus($sum(sK0,0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($sum(sK0,0))))) | ~sorted4(X20)) ) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f520])). 4.00/0.88 tff(f3860,plain,( 4.00/0.88 ~$less($sum(sK0,0),abs($uminus($sum(sK0,0)))) | spl16_198), 4.00/0.88 inference(avatar_component_clause,[],[f3859])). 4.00/0.88 tff(f3914,plain,( 4.00/0.88 spl16_206 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3879,f3859,f3912])). 4.00/0.88 tff(f3912,plain,( 4.00/0.88 spl16_206 <=> min($sum(sK0,0),abs($uminus($sum(sK0,0)))) = min(abs($uminus($sum(sK0,0))),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_206])])). 4.00/0.88 tff(f3879,plain,( 4.00/0.88 min($sum(sK0,0),abs($uminus($sum(sK0,0)))) = min(abs($uminus($sum(sK0,0))),$sum(sK0,0)) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f409])). 4.00/0.88 tff(f3910,plain,( 4.00/0.88 spl16_205 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3878,f3859,f3908])). 4.00/0.88 tff(f3908,plain,( 4.00/0.88 spl16_205 <=> max($sum(sK0,0),abs($uminus($sum(sK0,0)))) = max(abs($uminus($sum(sK0,0))),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_205])])). 4.00/0.88 tff(f3878,plain,( 4.00/0.88 max($sum(sK0,0),abs($uminus($sum(sK0,0)))) = max(abs($uminus($sum(sK0,0))),$sum(sK0,0)) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f408])). 4.00/0.88 tff(f3906,plain,( 4.00/0.88 spl16_204 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3877,f3859,f3904])). 4.00/0.88 tff(f3904,plain,( 4.00/0.88 spl16_204 <=> abs($uminus($sum(sK0,0))) = min(abs($uminus($sum(sK0,0))),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_204])])). 4.00/0.88 tff(f3877,plain,( 4.00/0.88 abs($uminus($sum(sK0,0))) = min(abs($uminus($sum(sK0,0))),$sum(sK0,0)) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f407])). 4.00/0.88 tff(f3902,plain,( 4.00/0.88 spl16_203 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3876,f3859,f3900])). 4.00/0.88 tff(f3900,plain,( 4.00/0.88 spl16_203 <=> $sum(sK0,0) = max(abs($uminus($sum(sK0,0))),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_203])])). 4.00/0.88 tff(f3876,plain,( 4.00/0.88 $sum(sK0,0) = max(abs($uminus($sum(sK0,0))),$sum(sK0,0)) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f406])). 4.00/0.88 tff(f3898,plain,( 4.00/0.88 spl16_202 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3875,f3859,f3896])). 4.00/0.88 tff(f3896,plain,( 4.00/0.88 spl16_202 <=> $sum(sK0,0) = max($sum(sK0,0),abs($uminus($sum(sK0,0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_202])])). 4.00/0.88 tff(f3875,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),abs($uminus($sum(sK0,0)))) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f405])). 4.00/0.88 tff(f3894,plain,( 4.00/0.88 spl16_201 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3874,f3859,f3892])). 4.00/0.88 tff(f3892,plain,( 4.00/0.88 spl16_201 <=> abs($uminus($sum(sK0,0))) = min($sum(sK0,0),abs($uminus($sum(sK0,0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_201])])). 4.00/0.88 tff(f3874,plain,( 4.00/0.88 abs($uminus($sum(sK0,0))) = min($sum(sK0,0),abs($uminus($sum(sK0,0)))) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f404])). 4.00/0.88 tff(f3890,plain,( 4.00/0.88 ~spl16_197 | spl16_198), 4.00/0.88 inference(avatar_split_clause,[],[f3872,f3859,f3856])). 4.00/0.88 tff(f3872,plain,( 4.00/0.88 ~$less($sum(sK0,0),$uminus($sum(sK0,0))) | spl16_198), 4.00/0.88 inference(resolution,[],[f3860,f420])). 4.00/0.88 tff(f3871,plain,( 4.00/0.88 spl16_199 | spl16_168), 4.00/0.88 inference(avatar_split_clause,[],[f3842,f3589,f3863])). 4.00/0.88 tff(f3863,plain,( 4.00/0.88 spl16_199 <=> $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_199])])). 4.00/0.88 tff(f3589,plain,( 4.00/0.88 spl16_168 <=> $less($uminus($sum(sK0,0)),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_168])])). 4.00/0.88 tff(f3842,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(resolution,[],[f3590,f407])). 4.00/0.88 tff(f3590,plain,( 4.00/0.88 ~$less($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(avatar_component_clause,[],[f3589])). 4.00/0.88 tff(f3870,plain,( 4.00/0.88 spl16_200 | spl16_168), 4.00/0.88 inference(avatar_split_clause,[],[f3841,f3589,f3867])). 4.00/0.88 tff(f3867,plain,( 4.00/0.88 spl16_200 <=> $uminus($sum(sK0,0)) = max($uminus($sum(sK0,0)),$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_200])])). 4.00/0.88 tff(f3841,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = max($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(resolution,[],[f3590,f406])). 4.00/0.88 tff(f3869,plain,( 4.00/0.88 spl16_200 | spl16_168), 4.00/0.88 inference(avatar_split_clause,[],[f3840,f3589,f3867])). 4.00/0.88 tff(f3840,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = max($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(resolution,[],[f3590,f405])). 4.00/0.88 tff(f3865,plain,( 4.00/0.88 spl16_199 | spl16_168), 4.00/0.88 inference(avatar_split_clause,[],[f3839,f3589,f3863])). 4.00/0.88 tff(f3839,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(resolution,[],[f3590,f404])). 4.00/0.88 tff(f3861,plain,( 4.00/0.88 spl16_197 | ~spl16_198 | spl16_168), 4.00/0.88 inference(avatar_split_clause,[],[f3838,f3589,f3859,f3856])). 4.00/0.88 tff(f3838,plain,( 4.00/0.88 ~$less($sum(sK0,0),abs($uminus($sum(sK0,0)))) | $less($sum(sK0,0),$uminus($sum(sK0,0))) | spl16_168), 4.00/0.88 inference(resolution,[],[f3590,f419])). 4.00/0.88 tff(f3800,plain,( 4.00/0.88 spl16_195 | spl16_196 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3765,f3644,f3798,f3795])). 4.00/0.88 tff(f3795,plain,( 4.00/0.88 spl16_195 <=> ! [X20 : array_elt3] : (~$less($uminus(sK0),length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(abs($uminus(sK0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK0))))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_195])])). 4.00/0.88 tff(f3798,plain,( 4.00/0.88 spl16_196 <=> $less($uminus(abs($uminus(sK0))),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_196])])). 4.00/0.88 tff(f3644,plain,( 4.00/0.88 spl16_171 <=> $less($uminus(sK0),$uminus(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_171])])). 4.00/0.88 tff(f3765,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less($uminus(abs($uminus(sK0))),0) | ~$less($uminus(sK0),length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(abs($uminus(sK0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK0))))) | ~sorted4(X20)) ) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f520])). 4.00/0.88 tff(f3645,plain,( 4.00/0.88 ~$less($uminus(sK0),$uminus(abs($uminus(sK0)))) | spl16_171), 4.00/0.88 inference(avatar_component_clause,[],[f3644])). 4.00/0.88 tff(f3793,plain,( 4.00/0.88 spl16_194 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3758,f3644,f3791])). 4.00/0.88 tff(f3791,plain,( 4.00/0.88 spl16_194 <=> min($uminus(sK0),$uminus(abs($uminus(sK0)))) = min($uminus(abs($uminus(sK0))),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_194])])). 4.00/0.88 tff(f3758,plain,( 4.00/0.88 min($uminus(sK0),$uminus(abs($uminus(sK0)))) = min($uminus(abs($uminus(sK0))),$uminus(sK0)) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f409])). 4.00/0.88 tff(f3789,plain,( 4.00/0.88 spl16_193 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3757,f3644,f3787])). 4.00/0.88 tff(f3787,plain,( 4.00/0.88 spl16_193 <=> max($uminus(sK0),$uminus(abs($uminus(sK0)))) = max($uminus(abs($uminus(sK0))),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_193])])). 4.00/0.88 tff(f3757,plain,( 4.00/0.88 max($uminus(sK0),$uminus(abs($uminus(sK0)))) = max($uminus(abs($uminus(sK0))),$uminus(sK0)) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f408])). 4.00/0.88 tff(f3785,plain,( 4.00/0.88 spl16_192 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3756,f3644,f3783])). 4.00/0.88 tff(f3783,plain,( 4.00/0.88 spl16_192 <=> $uminus(abs($uminus(sK0))) = min($uminus(abs($uminus(sK0))),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_192])])). 4.00/0.88 tff(f3756,plain,( 4.00/0.88 $uminus(abs($uminus(sK0))) = min($uminus(abs($uminus(sK0))),$uminus(sK0)) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f407])). 4.00/0.88 tff(f3781,plain,( 4.00/0.88 spl16_191 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3755,f3644,f3779])). 4.00/0.88 tff(f3779,plain,( 4.00/0.88 spl16_191 <=> $uminus(sK0) = max($uminus(abs($uminus(sK0))),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_191])])). 4.00/0.88 tff(f3755,plain,( 4.00/0.88 $uminus(sK0) = max($uminus(abs($uminus(sK0))),$uminus(sK0)) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f406])). 4.00/0.88 tff(f3777,plain,( 4.00/0.88 spl16_190 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3754,f3644,f3775])). 4.00/0.88 tff(f3775,plain,( 4.00/0.88 spl16_190 <=> $uminus(sK0) = max($uminus(sK0),$uminus(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_190])])). 4.00/0.88 tff(f3754,plain,( 4.00/0.88 $uminus(sK0) = max($uminus(sK0),$uminus(abs($uminus(sK0)))) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f405])). 4.00/0.88 tff(f3773,plain,( 4.00/0.88 spl16_189 | spl16_171), 4.00/0.88 inference(avatar_split_clause,[],[f3753,f3644,f3771])). 4.00/0.88 tff(f3771,plain,( 4.00/0.88 spl16_189 <=> $uminus(abs($uminus(sK0))) = min($uminus(sK0),$uminus(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_189])])). 4.00/0.88 tff(f3753,plain,( 4.00/0.88 $uminus(abs($uminus(sK0))) = min($uminus(sK0),$uminus(abs($uminus(sK0)))) | spl16_171), 4.00/0.88 inference(resolution,[],[f3645,f404])). 4.00/0.88 tff(f3751,plain,( 4.00/0.88 spl16_187 | spl16_188 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3718,f3676,f3749,f3746])). 4.00/0.88 tff(f3746,plain,( 4.00/0.88 spl16_187 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(abs($uminus(sK0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_187])])). 4.00/0.88 tff(f3749,plain,( 4.00/0.88 spl16_188 <=> $less(abs(abs($uminus(sK0))),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_188])])). 4.00/0.88 tff(f3676,plain,( 4.00/0.88 spl16_174 <=> $less(sK0,abs(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_174])])). 4.00/0.88 tff(f3718,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(abs(abs($uminus(sK0))),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs(abs($uminus(sK0)))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f520])). 4.00/0.88 tff(f3677,plain,( 4.00/0.88 ~$less(sK0,abs(abs($uminus(sK0)))) | spl16_174), 4.00/0.88 inference(avatar_component_clause,[],[f3676])). 4.00/0.88 tff(f3744,plain,( 4.00/0.88 spl16_186 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3711,f3676,f3742])). 4.00/0.88 tff(f3742,plain,( 4.00/0.88 spl16_186 <=> min(sK0,abs(abs($uminus(sK0)))) = min(abs(abs($uminus(sK0))),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_186])])). 4.00/0.88 tff(f3711,plain,( 4.00/0.88 min(sK0,abs(abs($uminus(sK0)))) = min(abs(abs($uminus(sK0))),sK0) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f409])). 4.00/0.88 tff(f3740,plain,( 4.00/0.88 spl16_185 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3710,f3676,f3738])). 4.00/0.88 tff(f3738,plain,( 4.00/0.88 spl16_185 <=> max(sK0,abs(abs($uminus(sK0)))) = max(abs(abs($uminus(sK0))),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_185])])). 4.00/0.88 tff(f3710,plain,( 4.00/0.88 max(sK0,abs(abs($uminus(sK0)))) = max(abs(abs($uminus(sK0))),sK0) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f408])). 4.00/0.88 tff(f3736,plain,( 4.00/0.88 spl16_184 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3709,f3676,f3734])). 4.00/0.88 tff(f3734,plain,( 4.00/0.88 spl16_184 <=> abs(abs($uminus(sK0))) = min(abs(abs($uminus(sK0))),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_184])])). 4.00/0.88 tff(f3709,plain,( 4.00/0.88 abs(abs($uminus(sK0))) = min(abs(abs($uminus(sK0))),sK0) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f407])). 4.00/0.88 tff(f3732,plain,( 4.00/0.88 spl16_183 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3708,f3676,f3730])). 4.00/0.88 tff(f3730,plain,( 4.00/0.88 spl16_183 <=> sK0 = max(abs(abs($uminus(sK0))),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_183])])). 4.00/0.88 tff(f3708,plain,( 4.00/0.88 sK0 = max(abs(abs($uminus(sK0))),sK0) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f406])). 4.00/0.88 tff(f3728,plain,( 4.00/0.88 spl16_182 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3707,f3676,f3726])). 4.00/0.88 tff(f3726,plain,( 4.00/0.88 spl16_182 <=> sK0 = max(sK0,abs(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_182])])). 4.00/0.88 tff(f3707,plain,( 4.00/0.88 sK0 = max(sK0,abs(abs($uminus(sK0)))) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f405])). 4.00/0.88 tff(f3724,plain,( 4.00/0.88 spl16_181 | spl16_174), 4.00/0.88 inference(avatar_split_clause,[],[f3706,f3676,f3722])). 4.00/0.88 tff(f3722,plain,( 4.00/0.88 spl16_181 <=> abs(abs($uminus(sK0))) = min(sK0,abs(abs($uminus(sK0))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_181])])). 4.00/0.88 tff(f3706,plain,( 4.00/0.88 abs(abs($uminus(sK0))) = min(sK0,abs(abs($uminus(sK0)))) | spl16_174), 4.00/0.88 inference(resolution,[],[f3677,f404])). 4.00/0.88 tff(f3702,plain,( 4.00/0.88 spl16_180 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3663,f3640,f3700])). 4.00/0.88 tff(f3700,plain,( 4.00/0.88 spl16_180 <=> min(abs($uminus(sK0)),$uminus(sK0)) = min($uminus(sK0),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_180])])). 4.00/0.88 tff(f3640,plain,( 4.00/0.88 spl16_170 <=> $less(abs($uminus(sK0)),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_170])])). 4.00/0.88 tff(f3663,plain,( 4.00/0.88 min(abs($uminus(sK0)),$uminus(sK0)) = min($uminus(sK0),abs($uminus(sK0))) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f409])). 4.00/0.88 tff(f3641,plain,( 4.00/0.88 ~$less(abs($uminus(sK0)),$uminus(sK0)) | spl16_170), 4.00/0.88 inference(avatar_component_clause,[],[f3640])). 4.00/0.88 tff(f3698,plain,( 4.00/0.88 spl16_179 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3662,f3640,f3696])). 4.00/0.88 tff(f3696,plain,( 4.00/0.88 spl16_179 <=> max(abs($uminus(sK0)),$uminus(sK0)) = max($uminus(sK0),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_179])])). 4.00/0.88 tff(f3662,plain,( 4.00/0.88 max(abs($uminus(sK0)),$uminus(sK0)) = max($uminus(sK0),abs($uminus(sK0))) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f408])). 4.00/0.88 tff(f3694,plain,( 4.00/0.88 spl16_178 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3661,f3640,f3692])). 4.00/0.88 tff(f3692,plain,( 4.00/0.88 spl16_178 <=> $uminus(sK0) = min($uminus(sK0),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_178])])). 4.00/0.88 tff(f3661,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),abs($uminus(sK0))) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f407])). 4.00/0.88 tff(f3690,plain,( 4.00/0.88 spl16_177 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3660,f3640,f3688])). 4.00/0.88 tff(f3688,plain,( 4.00/0.88 spl16_177 <=> abs($uminus(sK0)) = max($uminus(sK0),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_177])])). 4.00/0.88 tff(f3660,plain,( 4.00/0.88 abs($uminus(sK0)) = max($uminus(sK0),abs($uminus(sK0))) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f406])). 4.00/0.88 tff(f3686,plain,( 4.00/0.88 spl16_176 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3659,f3640,f3684])). 4.00/0.88 tff(f3684,plain,( 4.00/0.88 spl16_176 <=> abs($uminus(sK0)) = max(abs($uminus(sK0)),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_176])])). 4.00/0.88 tff(f3659,plain,( 4.00/0.88 abs($uminus(sK0)) = max(abs($uminus(sK0)),$uminus(sK0)) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f405])). 4.00/0.88 tff(f3682,plain,( 4.00/0.88 spl16_175 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3658,f3640,f3680])). 4.00/0.88 tff(f3680,plain,( 4.00/0.88 spl16_175 <=> $uminus(sK0) = min(abs($uminus(sK0)),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_175])])). 4.00/0.88 tff(f3658,plain,( 4.00/0.88 $uminus(sK0) = min(abs($uminus(sK0)),$uminus(sK0)) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f404])). 4.00/0.88 tff(f3678,plain,( 4.00/0.88 spl16_54 | ~spl16_174 | spl16_170), 4.00/0.88 inference(avatar_split_clause,[],[f3657,f3640,f3676,f1153])). 4.00/0.88 tff(f1153,plain,( 4.00/0.88 spl16_54 <=> $less(sK0,abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_54])])). 4.00/0.88 tff(f3657,plain,( 4.00/0.88 ~$less(sK0,abs(abs($uminus(sK0)))) | $less(sK0,abs($uminus(sK0))) | spl16_170), 4.00/0.88 inference(resolution,[],[f3641,f419])). 4.00/0.88 tff(f3656,plain,( 4.00/0.88 spl16_172 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3627,f3619,f3648])). 4.00/0.88 tff(f3648,plain,( 4.00/0.88 spl16_172 <=> abs($uminus(sK0)) = min(abs($uminus(sK0)),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_172])])). 4.00/0.88 tff(f3619,plain,( 4.00/0.88 spl16_169 <=> $less(abs($uminus(sK0)),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_169])])). 4.00/0.88 tff(f3627,plain,( 4.00/0.88 abs($uminus(sK0)) = min(abs($uminus(sK0)),abs($uminus(sK0))) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f407])). 4.00/0.88 tff(f3620,plain,( 4.00/0.88 ~$less(abs($uminus(sK0)),abs($uminus(sK0))) | spl16_169), 4.00/0.88 inference(avatar_component_clause,[],[f3619])). 4.00/0.88 tff(f3655,plain,( 4.00/0.88 spl16_173 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3626,f3619,f3652])). 4.00/0.88 tff(f3652,plain,( 4.00/0.88 spl16_173 <=> abs($uminus(sK0)) = max(abs($uminus(sK0)),abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_173])])). 4.00/0.88 tff(f3626,plain,( 4.00/0.88 abs($uminus(sK0)) = max(abs($uminus(sK0)),abs($uminus(sK0))) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f406])). 4.00/0.88 tff(f3654,plain,( 4.00/0.88 spl16_173 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3625,f3619,f3652])). 4.00/0.88 tff(f3625,plain,( 4.00/0.88 abs($uminus(sK0)) = max(abs($uminus(sK0)),abs($uminus(sK0))) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f405])). 4.00/0.88 tff(f3650,plain,( 4.00/0.88 spl16_172 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3624,f3619,f3648])). 4.00/0.88 tff(f3624,plain,( 4.00/0.88 abs($uminus(sK0)) = min(abs($uminus(sK0)),abs($uminus(sK0))) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f404])). 4.00/0.88 tff(f3646,plain,( 4.00/0.88 ~spl16_171 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3623,f3619,f3644])). 4.00/0.88 tff(f3623,plain,( 4.00/0.88 ~$less($uminus(sK0),$uminus(abs($uminus(sK0)))) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f421])). 4.00/0.88 tff(f3642,plain,( 4.00/0.88 ~spl16_170 | spl16_169), 4.00/0.88 inference(avatar_split_clause,[],[f3622,f3619,f3640])). 4.00/0.88 tff(f3622,plain,( 4.00/0.88 ~$less(abs($uminus(sK0)),$uminus(sK0)) | spl16_169), 4.00/0.88 inference(resolution,[],[f3620,f420])). 4.00/0.88 tff(f3621,plain,( 4.00/0.88 ~spl16_169 | ~spl16_57), 4.00/0.88 inference(avatar_split_clause,[],[f3616,f1184,f3619])). 4.00/0.88 tff(f1184,plain,( 4.00/0.88 spl16_57 <=> abs($uminus(sK0)) = min(sK0,abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_57])])). 4.00/0.88 tff(f3616,plain,( 4.00/0.88 ~$less(abs($uminus(sK0)),abs($uminus(sK0))) | ~spl16_57), 4.00/0.88 inference(superposition,[],[f394,f1185])). 4.00/0.88 tff(f1185,plain,( 4.00/0.88 abs($uminus(sK0)) = min(sK0,abs($uminus(sK0))) | ~spl16_57), 4.00/0.88 inference(avatar_component_clause,[],[f1184])). 4.00/0.88 tff(f3612,plain,( 4.00/0.88 spl16_86 | ~spl16_25 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f3603,f1671,f700,f1735])). 4.00/0.88 tff(f1735,plain,( 4.00/0.88 spl16_86 <=> $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_86])])). 4.00/0.88 tff(f3603,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),0) | (~spl16_25 | ~spl16_75)), 4.00/0.88 inference(superposition,[],[f2569,f1672])). 4.00/0.88 tff(f3591,plain,( 4.00/0.88 ~spl16_168 | ~spl16_25 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f3583,f1671,f700,f3589])). 4.00/0.88 tff(f3583,plain,( 4.00/0.88 ~$less($uminus($sum(sK0,0)),$uminus($sum(sK0,0))) | (~spl16_25 | ~spl16_75)), 4.00/0.88 inference(superposition,[],[f3561,f1672])). 4.00/0.88 tff(f3564,plain,( 4.00/0.88 spl16_83 | ~spl16_25 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f3557,f1671,f700,f1723])). 4.00/0.88 tff(f1723,plain,( 4.00/0.88 spl16_83 <=> $uminus($sum(sK0,0)) = min(0,$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_83])])). 4.00/0.88 tff(f3557,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min(0,$uminus($sum(sK0,0))) | (~spl16_25 | ~spl16_75)), 4.00/0.88 inference(superposition,[],[f2566,f1672])). 4.00/0.88 tff(f3553,plain,( 4.00/0.88 spl16_166), 4.00/0.88 inference(avatar_contradiction_clause,[],[f3552])). 4.00/0.88 tff(f3552,plain,( 4.00/0.88 $false | spl16_166), 4.00/0.88 inference(resolution,[],[f3547,f366])). 4.00/0.88 tff(f3547,plain,( 4.00/0.88 ~sort1(int,t2tb(0)) | spl16_166), 4.00/0.88 inference(avatar_component_clause,[],[f3546])). 4.00/0.88 tff(f3546,plain,( 4.00/0.88 spl16_166 <=> sort1(int,t2tb(0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_166])])). 4.00/0.88 tff(f3551,plain,( 4.00/0.88 ~spl16_166 | spl16_167 | spl16_3 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f3533,f686,f543,f3549,f3546])). 4.00/0.88 tff(f3549,plain,( 4.00/0.88 spl16_167 <=> ! [X5 : uni,X4 : uni,X7 : $int,X6 : uni,X3 : ty] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(0)),set(X3,int,X4,X5,X6),0,X7)) | ~sort1(int,X5) | t2tb(0) = X5 | ~$less(0,X7))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_167])])). 4.00/0.88 tff(f686,plain,( 4.00/0.88 spl16_22 <=> 0 = sK2), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_22])])). 4.00/0.88 tff(f3533,plain,( 4.00/0.88 ( ! [X3 : ty,X6 : uni,X7 : $int,X4 : uni,X5 : uni] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(0)),set(X3,int,X4,X5,X6),0,X7)) | ~$less(0,X7) | t2tb(0) = X5 | ~sort1(int,t2tb(0)) | ~sort1(int,X5)) ) | (spl16_3 | ~spl16_22)), 4.00/0.88 inference(superposition,[],[f3502,f458])). 4.00/0.88 tff(f3502,plain,( 4.00/0.88 ( ! [X31 : uni,X32 : $int,X30 : ty] : ($less(0,occ1(X30,get(X30,int,X31,t2tb(0)),X31,0,X32)) | ~$less(0,X32)) ) | (spl16_3 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f3501,f687])). 4.00/0.88 tff(f687,plain,( 4.00/0.88 0 = sK2 | ~spl16_22), 4.00/0.88 inference(avatar_component_clause,[],[f686])). 4.00/0.88 tff(f3501,plain,( 4.00/0.88 ( ! [X31 : uni,X32 : $int,X30 : ty] : ($less(0,occ1(X30,get(X30,int,X31,t2tb(0)),X31,0,X32)) | ~$less(sK2,X32)) ) | (spl16_3 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f627,f687])). 4.00/0.88 tff(f3455,plain,( 4.00/0.88 spl16_164), 4.00/0.88 inference(avatar_contradiction_clause,[],[f3454])). 4.00/0.88 tff(f3454,plain,( 4.00/0.88 $false | spl16_164), 4.00/0.88 inference(resolution,[],[f3449,f366])). 4.00/0.88 tff(f3449,plain,( 4.00/0.88 ~sort1(int,t2tb(sK0)) | spl16_164), 4.00/0.88 inference(avatar_component_clause,[],[f3448])). 4.00/0.88 tff(f3448,plain,( 4.00/0.88 spl16_164 <=> sort1(int,t2tb(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_164])])). 4.00/0.88 tff(f3453,plain,( 4.00/0.88 ~spl16_164 | spl16_165 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f3434,f539,f3451,f3448])). 4.00/0.88 tff(f3451,plain,( 4.00/0.88 spl16_165 <=> ! [X5 : uni,X4 : uni,X7 : $int,X6 : uni,X3 : ty] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(sK0)),set(X3,int,X4,X5,X6),0,X7)) | ~sort1(int,X5) | t2tb(sK0) = X5 | ~$less(sK0,X7))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_165])])). 4.00/0.88 tff(f3434,plain,( 4.00/0.88 ( ! [X3 : ty,X6 : uni,X7 : $int,X4 : uni,X5 : uni] : ($less(0,occ1(X3,get(X3,int,X4,t2tb(sK0)),set(X3,int,X4,X5,X6),0,X7)) | ~$less(sK0,X7) | t2tb(sK0) = X5 | ~sort1(int,t2tb(sK0)) | ~sort1(int,X5)) ) | spl16_2), 4.00/0.88 inference(superposition,[],[f571,f458])). 4.00/0.88 tff(f3192,plain,( 4.00/0.88 spl16_104 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3174,f768,f2133])). 4.00/0.88 tff(f2133,plain,( 4.00/0.88 spl16_104 <=> min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_104])])). 4.00/0.88 tff(f3174,plain,( 4.00/0.88 min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f409])). 4.00/0.88 tff(f769,plain,( 4.00/0.88 ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_33), 4.00/0.88 inference(avatar_component_clause,[],[f768])). 4.00/0.88 tff(f3191,plain,( 4.00/0.88 spl16_103 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3173,f768,f2129])). 4.00/0.88 tff(f2129,plain,( 4.00/0.88 spl16_103 <=> max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_103])])). 4.00/0.88 tff(f3173,plain,( 4.00/0.88 max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f408])). 4.00/0.88 tff(f3190,plain,( 4.00/0.88 spl16_102 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3172,f768,f2125])). 4.00/0.88 tff(f2125,plain,( 4.00/0.88 spl16_102 <=> 0 = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_102])])). 4.00/0.88 tff(f3172,plain,( 4.00/0.88 0 = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f407])). 4.00/0.88 tff(f3189,plain,( 4.00/0.88 spl16_101 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3171,f768,f2121])). 4.00/0.88 tff(f2121,plain,( 4.00/0.88 spl16_101 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_101])])). 4.00/0.88 tff(f3171,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f406])). 4.00/0.88 tff(f3188,plain,( 4.00/0.88 spl16_100 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3170,f768,f2117])). 4.00/0.88 tff(f2117,plain,( 4.00/0.88 spl16_100 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_100])])). 4.00/0.88 tff(f3170,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f405])). 4.00/0.88 tff(f3187,plain,( 4.00/0.88 spl16_99 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3169,f768,f2113])). 4.00/0.88 tff(f2113,plain,( 4.00/0.88 spl16_99 <=> 0 = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_99])])). 4.00/0.88 tff(f3169,plain,( 4.00/0.88 0 = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f404])). 4.00/0.88 tff(f3186,plain,( 4.00/0.88 ~spl16_98 | ~spl16_25 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3168,f768,f700,f2109])). 4.00/0.88 tff(f2109,plain,( 4.00/0.88 spl16_98 <=> $less(0,$uminus(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_98])])). 4.00/0.88 tff(f3168,plain,( 4.00/0.88 ~$less(0,$uminus(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))) | (~spl16_25 | spl16_33)), 4.00/0.88 inference(resolution,[],[f769,f714])). 4.00/0.88 tff(f3185,plain,( 4.00/0.88 spl16_97 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f3156,f768,f2105])). 4.00/0.88 tff(f2105,plain,( 4.00/0.88 spl16_97 <=> sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = abs(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_97])])). 4.00/0.88 tff(f3156,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = abs(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f378])). 4.00/0.88 tff(f2907,plain,( 4.00/0.88 ~spl16_34 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f2906,f710,f773])). 4.00/0.88 tff(f710,plain,( 4.00/0.88 spl16_27 <=> sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_27])])). 4.00/0.88 tff(f2906,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_27), 4.00/0.88 inference(forward_demodulation,[],[f2903,f373])). 4.00/0.88 tff(f373,plain,( 4.00/0.88 ( ! [X0 : uni] : (t2tb10(tb2t10(X0)) = X0) )), 4.00/0.88 inference(cnf_transformation,[],[f153])). 4.00/0.88 tff(f153,plain,( 4.00/0.88 ! [X0 : uni] : t2tb10(tb2t10(X0)) = X0), 4.00/0.88 inference(rectify,[],[f36])). 4.00/0.88 tff(f36,axiom,( 4.00/0.88 ! [X6 : uni] : t2tb10(tb2t10(X6)) = X6), 4.00/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR10)). 4.00/0.88 tff(f2903,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f524])). 4.00/0.88 tff(f524,plain,( 4.00/0.88 ( ! [X2 : $int,X0 : array_elt3,X1 : $int] : (sorted_sub4(X0,X1,X2) | ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK5(X0,X1,X2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK6(X0,X1,X2)))))) )), 4.00/0.88 inference(definition_unfolding,[],[f445,f428,f428])). 4.00/0.88 tff(f445,plain,( 4.00/0.88 ( ! [X2 : $int,X0 : array_elt3,X1 : $int] : (sorted_sub4(X0,X1,X2) | ~le4(tb2t11(get2(elt7,t2tb10(X0),sK5(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK6(X0,X1,X2))))) )), 4.00/0.88 inference(cnf_transformation,[],[f329])). 4.00/0.88 tff(f329,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub4(X0,X1,X2)) & (sorted_sub4(X0,X1,X2) | (~le4(tb2t11(get2(elt7,t2tb10(X0),sK5(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK6(X0,X1,X2)))) & ~$less(sK5(X0,X1,X2),X1) & ~$less(sK6(X0,X1,X2),sK5(X0,X1,X2)) & $less(sK6(X0,X1,X2),X2))))), 4.00/0.88 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f327,f328])). 4.00/0.88 tff(f328,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (? [X5 : $int,X6 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X5)),tb2t11(get2(elt7,t2tb10(X0),X6))) & ~$less(X5,X1) & ~$less(X6,X5) & $less(X6,X2)) => (~le4(tb2t11(get2(elt7,t2tb10(X0),sK5(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK6(X0,X1,X2)))) & ~$less(sK5(X0,X1,X2),X1) & ~$less(sK6(X0,X1,X2),sK5(X0,X1,X2)) & $less(sK6(X0,X1,X2),X2)))), 4.00/0.88 introduced(choice_axiom,[])). 4.00/0.88 tff(f327,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub4(X0,X1,X2)) & (sorted_sub4(X0,X1,X2) | ? [X5 : $int,X6 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X5)),tb2t11(get2(elt7,t2tb10(X0),X6))) & ~$less(X5,X1) & ~$less(X6,X5) & $less(X6,X2))))), 4.00/0.88 inference(rectify,[],[f326])). 4.00/0.88 tff(f326,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub4(X0,X1,X2)) & (sorted_sub4(X0,X1,X2) | ? [X3 : $int,X4 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) & ~$less(X3,X1) & ~$less(X4,X3) & $less(X4,X2))))), 4.00/0.88 inference(nnf_transformation,[],[f276])). 4.00/0.88 tff(f276,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) <=> sorted_sub4(X0,X1,X2))), 4.00/0.88 inference(flattening,[],[f275])). 4.00/0.88 tff(f275,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : (le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) | ($less(X3,X1) | $less(X4,X3) | ~$less(X4,X2))) <=> sorted_sub4(X0,X1,X2))), 4.00/0.88 inference(ennf_transformation,[],[f207])). 4.00/0.88 tff(f207,plain,( 4.00/0.88 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : ((~$less(X3,X1) & ~$less(X4,X3) & $less(X4,X2)) => le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4)))) <=> sorted_sub4(X0,X1,X2))), 4.00/0.88 inference(rectify,[],[f124])). 4.00/0.88 tff(f124,plain,( 4.00/0.88 ! [X0 : array_elt3,X3 : $int,X4 : $int] : (! [X14 : $int,X15 : $int] : ((~$less(X14,X3) & ~$less(X15,X14) & $less(X15,X4)) => le4(tb2t11(get2(elt7,t2tb10(X0),X14)),tb2t11(get2(elt7,t2tb10(X0),X15)))) <=> sorted_sub4(X0,X3,X4))), 4.00/0.88 inference(theory_normalization,[],[f24])). 4.00/0.88 tff(f24,axiom,( 4.00/0.88 ! [X0 : array_elt3,X3 : $int,X4 : $int] : (! [X14 : $int,X15 : $int] : (($lesseq(X3,X14) & $lesseq(X14,X15) & $less(X15,X4)) => le4(tb2t11(get2(elt7,t2tb10(X0),X14)),tb2t11(get2(elt7,t2tb10(X0),X15)))) <=> sorted_sub4(X0,X3,X4))), 4.00/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted_sub_def3)). 4.00/0.88 tff(f711,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | spl16_27), 4.00/0.88 inference(avatar_component_clause,[],[f710])). 4.00/0.88 tff(f2905,plain,( 4.00/0.88 ~spl16_33 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f2902,f710,f768])). 4.00/0.88 tff(f2902,plain,( 4.00/0.88 ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f444])). 4.00/0.88 tff(f444,plain,( 4.00/0.88 ( ! [X2 : $int,X0 : array_elt3,X1 : $int] : (sorted_sub4(X0,X1,X2) | ~$less(sK5(X0,X1,X2),X1)) )), 4.00/0.88 inference(cnf_transformation,[],[f329])). 4.00/0.88 tff(f2904,plain,( 4.00/0.88 ~spl16_32 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f2901,f710,f764])). 4.00/0.88 tff(f2901,plain,( 4.00/0.88 ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f443])). 4.00/0.88 tff(f443,plain,( 4.00/0.88 ( ! [X2 : $int,X0 : array_elt3,X1 : $int] : (sorted_sub4(X0,X1,X2) | ~$less(sK6(X0,X1,X2),sK5(X0,X1,X2))) )), 4.00/0.88 inference(cnf_transformation,[],[f329])). 4.00/0.88 tff(f2893,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f2892,f686,f535,f710])). 4.00/0.88 tff(f535,plain,( 4.00/0.88 spl16_1 <=> sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_1])])). 4.00/0.88 tff(f2892,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(evaluation,[],[f2846])). 4.00/0.88 tff(f2846,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(superposition,[],[f536,f687])). 4.00/0.88 tff(f536,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) | spl16_1), 4.00/0.88 inference(avatar_component_clause,[],[f535])). 4.00/0.88 tff(f2845,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f2834,f686,f535,f710])). 4.00/0.88 tff(f2834,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(evaluation,[],[f707])). 4.00/0.88 tff(f707,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f536,f687])). 4.00/0.88 tff(f2844,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f708,f686,f535,f710])). 4.00/0.88 tff(f708,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(evaluation,[],[f707])). 4.00/0.88 tff(f2843,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f2779,f686,f535,f710])). 4.00/0.88 tff(f2779,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | (spl16_1 | ~spl16_22)), 4.00/0.88 inference(evaluation,[],[f707])). 4.00/0.88 tff(f2833,plain,( 4.00/0.88 spl16_163 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2799,f2774,f2831])). 4.00/0.88 tff(f2799,plain,( 4.00/0.88 min(sK2,1) = min(1,sK2) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f409])). 4.00/0.88 tff(f2829,plain,( 4.00/0.88 spl16_162 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2798,f2774,f2827])). 4.00/0.88 tff(f2798,plain,( 4.00/0.88 max(sK2,1) = max(1,sK2) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f408])). 4.00/0.88 tff(f2825,plain,( 4.00/0.88 spl16_161 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2797,f2774,f2823])). 4.00/0.88 tff(f2797,plain,( 4.00/0.88 1 = min(1,sK2) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f407])). 4.00/0.88 tff(f2821,plain,( 4.00/0.88 spl16_160 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2796,f2774,f2819])). 4.00/0.88 tff(f2796,plain,( 4.00/0.88 sK2 = max(1,sK2) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f406])). 4.00/0.88 tff(f2817,plain,( 4.00/0.88 spl16_159 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2795,f2774,f2815])). 4.00/0.88 tff(f2795,plain,( 4.00/0.88 sK2 = max(sK2,1) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f405])). 4.00/0.88 tff(f2813,plain,( 4.00/0.88 spl16_158 | spl16_156), 4.00/0.88 inference(avatar_split_clause,[],[f2794,f2774,f2811])). 4.00/0.88 tff(f2794,plain,( 4.00/0.88 1 = min(sK2,1) | spl16_156), 4.00/0.88 inference(resolution,[],[f2775,f404])). 4.00/0.88 tff(f2793,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f2779,f686,f535,f710])). 4.00/0.88 tff(f2792,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f708,f686,f535,f710])). 4.00/0.88 tff(f2791,plain,( 4.00/0.88 spl16_157 | spl16_130 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2534,f2516,f2333,f2789])). 4.00/0.88 tff(f2789,plain,( 4.00/0.88 spl16_157 <=> ! [X22 : array_elt3] : (~$less(0,length1(elt7,t2tb10(X22))) | ~sorted4(X22) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus(sK2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_157])])). 4.00/0.88 tff(f2333,plain,( 4.00/0.88 spl16_130 <=> $less($uminus(sK2),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_130])])). 4.00/0.88 tff(f2534,plain,( 4.00/0.88 ( ! [X22 : array_elt3] : ($less($uminus(sK2),0) | ~$less(0,length1(elt7,t2tb10(X22))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus(sK2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))) | ~sorted4(X22)) ) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f520])). 4.00/0.88 tff(f2777,plain,( 4.00/0.88 ~spl16_156 | spl16_22 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f2770,f543,f686,f2774])). 4.00/0.88 tff(f2770,plain,( 4.00/0.88 0 = sK2 | ~$less(sK2,1) | spl16_3), 4.00/0.88 inference(superposition,[],[f375,f611])). 4.00/0.88 tff(f611,plain,( 4.00/0.88 ( ! [X4 : $int] : (0 = div(sK2,X4) | ~$less(sK2,X4)) ) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f417])). 4.00/0.88 tff(f375,plain,( 4.00/0.88 ( ! [X0 : $int] : (div(X0,1) = X0) )), 4.00/0.88 inference(cnf_transformation,[],[f155])). 4.00/0.88 tff(f155,plain,( 4.00/0.88 ! [X0 : $int] : div(X0,1) = X0), 4.00/0.88 inference(rectify,[],[f28])). 4.00/0.88 tff(f28,axiom,( 4.00/0.88 ! [X7 : $int] : div(X7,1) = X7), 4.00/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_1)). 4.00/0.88 tff(f2776,plain,( 4.00/0.88 ~spl16_156 | spl16_22 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f2767,f543,f686,f2774])). 4.00/0.88 tff(f2767,plain,( 4.00/0.88 0 = sK2 | ~$less(sK2,1) | spl16_3), 4.00/0.88 inference(superposition,[],[f611,f375])). 4.00/0.88 tff(f2758,plain,( 4.00/0.88 ~spl16_155), 4.00/0.88 inference(avatar_contradiction_clause,[],[f2756])). 4.00/0.88 tff(f2756,plain,( 4.00/0.88 $false | ~spl16_155), 4.00/0.88 inference(resolution,[],[f2754,f367])). 4.00/0.88 tff(f2754,plain,( 4.00/0.88 $less(abs($uminus(sK2)),0) | ~spl16_155), 4.00/0.88 inference(avatar_component_clause,[],[f2753])). 4.00/0.88 tff(f2753,plain,( 4.00/0.88 spl16_155 <=> $less(abs($uminus(sK2)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_155])])). 4.00/0.88 tff(f2755,plain,( 4.00/0.88 spl16_154 | spl16_155 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2722,f2695,f2753,f2750])). 4.00/0.88 tff(f2750,plain,( 4.00/0.88 spl16_154 <=> ! [X20 : array_elt3] : (~$less(sK2,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus(sK2))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_154])])). 4.00/0.88 tff(f2722,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(abs($uminus(sK2)),0) | ~$less(sK2,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus(sK2))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))) | ~sorted4(X20)) ) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f520])). 4.00/0.88 tff(f2696,plain,( 4.00/0.88 ~$less(sK2,abs($uminus(sK2))) | spl16_145), 4.00/0.88 inference(avatar_component_clause,[],[f2695])). 4.00/0.88 tff(f2748,plain,( 4.00/0.88 spl16_153 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2715,f2695,f2746])). 4.00/0.88 tff(f2746,plain,( 4.00/0.88 spl16_153 <=> min(sK2,abs($uminus(sK2))) = min(abs($uminus(sK2)),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_153])])). 4.00/0.88 tff(f2715,plain,( 4.00/0.88 min(sK2,abs($uminus(sK2))) = min(abs($uminus(sK2)),sK2) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f409])). 4.00/0.88 tff(f2744,plain,( 4.00/0.88 spl16_152 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2714,f2695,f2742])). 4.00/0.88 tff(f2742,plain,( 4.00/0.88 spl16_152 <=> max(sK2,abs($uminus(sK2))) = max(abs($uminus(sK2)),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_152])])). 4.00/0.88 tff(f2714,plain,( 4.00/0.88 max(sK2,abs($uminus(sK2))) = max(abs($uminus(sK2)),sK2) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f408])). 4.00/0.88 tff(f2740,plain,( 4.00/0.88 spl16_151 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2713,f2695,f2738])). 4.00/0.88 tff(f2738,plain,( 4.00/0.88 spl16_151 <=> abs($uminus(sK2)) = min(abs($uminus(sK2)),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_151])])). 4.00/0.88 tff(f2713,plain,( 4.00/0.88 abs($uminus(sK2)) = min(abs($uminus(sK2)),sK2) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f407])). 4.00/0.88 tff(f2736,plain,( 4.00/0.88 spl16_150 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2712,f2695,f2734])). 4.00/0.88 tff(f2734,plain,( 4.00/0.88 spl16_150 <=> sK2 = max(abs($uminus(sK2)),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_150])])). 4.00/0.88 tff(f2712,plain,( 4.00/0.88 sK2 = max(abs($uminus(sK2)),sK2) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f406])). 4.00/0.88 tff(f2732,plain,( 4.00/0.88 spl16_149 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2711,f2695,f2730])). 4.00/0.88 tff(f2730,plain,( 4.00/0.88 spl16_149 <=> sK2 = max(sK2,abs($uminus(sK2)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_149])])). 4.00/0.88 tff(f2711,plain,( 4.00/0.88 sK2 = max(sK2,abs($uminus(sK2))) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f405])). 4.00/0.88 tff(f2728,plain,( 4.00/0.88 spl16_148 | spl16_145), 4.00/0.88 inference(avatar_split_clause,[],[f2710,f2695,f2726])). 4.00/0.88 tff(f2710,plain,( 4.00/0.88 abs($uminus(sK2)) = min(sK2,abs($uminus(sK2))) | spl16_145), 4.00/0.88 inference(resolution,[],[f2696,f404])). 4.00/0.88 tff(f2707,plain,( 4.00/0.88 spl16_146 | spl16_144), 4.00/0.88 inference(avatar_split_clause,[],[f2680,f2657,f2699])). 4.00/0.88 tff(f2699,plain,( 4.00/0.88 spl16_146 <=> $uminus(sK2) = min($uminus(sK2),$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_146])])). 4.00/0.88 tff(f2657,plain,( 4.00/0.88 spl16_144 <=> $less($uminus(sK2),$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_144])])). 4.00/0.88 tff(f2680,plain,( 4.00/0.88 $uminus(sK2) = min($uminus(sK2),$uminus(sK2)) | spl16_144), 4.00/0.88 inference(resolution,[],[f2658,f407])). 4.00/0.88 tff(f2658,plain,( 4.00/0.88 ~$less($uminus(sK2),$uminus(sK2)) | spl16_144), 4.00/0.88 inference(avatar_component_clause,[],[f2657])). 4.00/0.88 tff(f2706,plain,( 4.00/0.88 spl16_147 | spl16_144), 4.00/0.88 inference(avatar_split_clause,[],[f2679,f2657,f2703])). 4.00/0.88 tff(f2703,plain,( 4.00/0.88 spl16_147 <=> $uminus(sK2) = max($uminus(sK2),$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_147])])). 4.00/0.88 tff(f2679,plain,( 4.00/0.88 $uminus(sK2) = max($uminus(sK2),$uminus(sK2)) | spl16_144), 4.00/0.88 inference(resolution,[],[f2658,f406])). 4.00/0.88 tff(f2705,plain,( 4.00/0.88 spl16_147 | spl16_144), 4.00/0.88 inference(avatar_split_clause,[],[f2678,f2657,f2703])). 4.00/0.88 tff(f2678,plain,( 4.00/0.88 $uminus(sK2) = max($uminus(sK2),$uminus(sK2)) | spl16_144), 4.00/0.88 inference(resolution,[],[f2658,f405])). 4.00/0.88 tff(f2701,plain,( 4.00/0.88 spl16_146 | spl16_144), 4.00/0.88 inference(avatar_split_clause,[],[f2677,f2657,f2699])). 4.00/0.88 tff(f2677,plain,( 4.00/0.88 $uminus(sK2) = min($uminus(sK2),$uminus(sK2)) | spl16_144), 4.00/0.88 inference(resolution,[],[f2658,f404])). 4.00/0.88 tff(f2697,plain,( 4.00/0.88 spl16_122 | ~spl16_145 | spl16_144), 4.00/0.88 inference(avatar_split_clause,[],[f2676,f2657,f2695,f2284])). 4.00/0.88 tff(f2284,plain,( 4.00/0.88 spl16_122 <=> $less(sK2,$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_122])])). 4.00/0.88 tff(f2676,plain,( 4.00/0.88 ~$less(sK2,abs($uminus(sK2))) | $less(sK2,$uminus(sK2)) | spl16_144), 4.00/0.88 inference(resolution,[],[f2658,f419])). 4.00/0.88 tff(f2659,plain,( 4.00/0.88 ~spl16_144 | ~spl16_123), 4.00/0.88 inference(avatar_split_clause,[],[f2654,f2306,f2657])). 4.00/0.88 tff(f2306,plain,( 4.00/0.88 spl16_123 <=> $uminus(sK2) = min(sK2,$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_123])])). 4.00/0.88 tff(f2654,plain,( 4.00/0.88 ~$less($uminus(sK2),$uminus(sK2)) | ~spl16_123), 4.00/0.88 inference(superposition,[],[f394,f2307])). 4.00/0.88 tff(f2307,plain,( 4.00/0.88 $uminus(sK2) = min(sK2,$uminus(sK2)) | ~spl16_123), 4.00/0.88 inference(avatar_component_clause,[],[f2306])). 4.00/0.88 tff(f2562,plain,( 4.00/0.88 spl16_143 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2527,f2516,f2560])). 4.00/0.88 tff(f2560,plain,( 4.00/0.88 spl16_143 <=> min(0,$uminus(sK2)) = min($uminus(sK2),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_143])])). 4.00/0.88 tff(f2527,plain,( 4.00/0.88 min(0,$uminus(sK2)) = min($uminus(sK2),0) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f409])). 4.00/0.88 tff(f2558,plain,( 4.00/0.88 spl16_142 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2526,f2516,f2556])). 4.00/0.88 tff(f2556,plain,( 4.00/0.88 spl16_142 <=> max(0,$uminus(sK2)) = max($uminus(sK2),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_142])])). 4.00/0.88 tff(f2526,plain,( 4.00/0.88 max(0,$uminus(sK2)) = max($uminus(sK2),0) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f408])). 4.00/0.88 tff(f2554,plain,( 4.00/0.88 spl16_141 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2525,f2516,f2552])). 4.00/0.88 tff(f2552,plain,( 4.00/0.88 spl16_141 <=> $uminus(sK2) = min($uminus(sK2),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_141])])). 4.00/0.88 tff(f2525,plain,( 4.00/0.88 $uminus(sK2) = min($uminus(sK2),0) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f407])). 4.00/0.88 tff(f2550,plain,( 4.00/0.88 spl16_140 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2524,f2516,f2548])). 4.00/0.88 tff(f2548,plain,( 4.00/0.88 spl16_140 <=> 0 = max($uminus(sK2),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_140])])). 4.00/0.88 tff(f2524,plain,( 4.00/0.88 0 = max($uminus(sK2),0) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f406])). 4.00/0.88 tff(f2546,plain,( 4.00/0.88 spl16_139 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2523,f2516,f2544])). 4.00/0.88 tff(f2544,plain,( 4.00/0.88 spl16_139 <=> 0 = max(0,$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_139])])). 4.00/0.88 tff(f2523,plain,( 4.00/0.88 0 = max(0,$uminus(sK2)) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f405])). 4.00/0.88 tff(f2542,plain,( 4.00/0.88 spl16_138 | spl16_137), 4.00/0.88 inference(avatar_split_clause,[],[f2522,f2516,f2540])). 4.00/0.88 tff(f2540,plain,( 4.00/0.88 spl16_138 <=> $uminus(sK2) = min(0,$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_138])])). 4.00/0.88 tff(f2522,plain,( 4.00/0.88 $uminus(sK2) = min(0,$uminus(sK2)) | spl16_137), 4.00/0.88 inference(resolution,[],[f2517,f404])). 4.00/0.88 tff(f2518,plain,( 4.00/0.88 ~spl16_137 | spl16_3 | ~spl16_25), 4.00/0.88 inference(avatar_split_clause,[],[f2514,f700,f543,f2516])). 4.00/0.88 tff(f2514,plain,( 4.00/0.88 ~$less(0,$uminus(sK2)) | (spl16_3 | ~spl16_25)), 4.00/0.88 inference(resolution,[],[f714,f544])). 4.00/0.88 tff(f2377,plain,( 4.00/0.88 spl16_136 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2342,f2280,f2375])). 4.00/0.88 tff(f2280,plain,( 4.00/0.88 spl16_121 <=> $less(sK2,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_121])])). 4.00/0.88 tff(f2342,plain,( 4.00/0.88 min(sK2,$uminus(sK0)) = min($uminus(sK0),sK2) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f409])). 4.00/0.88 tff(f2281,plain,( 4.00/0.88 ~$less(sK2,$uminus(sK0)) | spl16_121), 4.00/0.88 inference(avatar_component_clause,[],[f2280])). 4.00/0.88 tff(f2373,plain,( 4.00/0.88 spl16_135 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2341,f2280,f2371])). 4.00/0.88 tff(f2371,plain,( 4.00/0.88 spl16_135 <=> max(sK2,$uminus(sK0)) = max($uminus(sK0),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_135])])). 4.00/0.88 tff(f2341,plain,( 4.00/0.88 max(sK2,$uminus(sK0)) = max($uminus(sK0),sK2) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f408])). 4.00/0.88 tff(f2369,plain,( 4.00/0.88 spl16_134 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2340,f2280,f2367])). 4.00/0.88 tff(f2340,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),sK2) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f407])). 4.00/0.88 tff(f2365,plain,( 4.00/0.88 spl16_133 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2339,f2280,f2363])). 4.00/0.88 tff(f2363,plain,( 4.00/0.88 spl16_133 <=> sK2 = max($uminus(sK0),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_133])])). 4.00/0.88 tff(f2339,plain,( 4.00/0.88 sK2 = max($uminus(sK0),sK2) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f406])). 4.00/0.88 tff(f2361,plain,( 4.00/0.88 spl16_132 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2338,f2280,f2359])). 4.00/0.88 tff(f2359,plain,( 4.00/0.88 spl16_132 <=> sK2 = max(sK2,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_132])])). 4.00/0.88 tff(f2338,plain,( 4.00/0.88 sK2 = max(sK2,$uminus(sK0)) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f405])). 4.00/0.88 tff(f2357,plain,( 4.00/0.88 spl16_131 | spl16_121), 4.00/0.88 inference(avatar_split_clause,[],[f2337,f2280,f2355])). 4.00/0.88 tff(f2337,plain,( 4.00/0.88 $uminus(sK0) = min(sK2,$uminus(sK0)) | spl16_121), 4.00/0.88 inference(resolution,[],[f2281,f404])). 4.00/0.88 tff(f2335,plain,( 4.00/0.88 spl16_129 | spl16_130 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2300,f2284,f2333,f2330])). 4.00/0.88 tff(f2330,plain,( 4.00/0.88 spl16_129 <=> ! [X20 : array_elt3] : (~$less(sK2,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_129])])). 4.00/0.88 tff(f2300,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less($uminus(sK2),0) | ~$less(sK2,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2)))) | ~sorted4(X20)) ) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f520])). 4.00/0.88 tff(f2285,plain,( 4.00/0.88 ~$less(sK2,$uminus(sK2)) | spl16_122), 4.00/0.88 inference(avatar_component_clause,[],[f2284])). 4.00/0.88 tff(f2328,plain,( 4.00/0.88 spl16_128 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2293,f2284,f2326])). 4.00/0.88 tff(f2326,plain,( 4.00/0.88 spl16_128 <=> min(sK2,$uminus(sK2)) = min($uminus(sK2),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_128])])). 4.00/0.88 tff(f2293,plain,( 4.00/0.88 min(sK2,$uminus(sK2)) = min($uminus(sK2),sK2) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f409])). 4.00/0.88 tff(f2324,plain,( 4.00/0.88 spl16_127 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2292,f2284,f2322])). 4.00/0.88 tff(f2322,plain,( 4.00/0.88 spl16_127 <=> max(sK2,$uminus(sK2)) = max($uminus(sK2),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_127])])). 4.00/0.88 tff(f2292,plain,( 4.00/0.88 max(sK2,$uminus(sK2)) = max($uminus(sK2),sK2) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f408])). 4.00/0.88 tff(f2320,plain,( 4.00/0.88 spl16_126 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2291,f2284,f2318])). 4.00/0.88 tff(f2318,plain,( 4.00/0.88 spl16_126 <=> $uminus(sK2) = min($uminus(sK2),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_126])])). 4.00/0.88 tff(f2291,plain,( 4.00/0.88 $uminus(sK2) = min($uminus(sK2),sK2) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f407])). 4.00/0.88 tff(f2316,plain,( 4.00/0.88 spl16_125 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2290,f2284,f2314])). 4.00/0.88 tff(f2314,plain,( 4.00/0.88 spl16_125 <=> sK2 = max($uminus(sK2),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_125])])). 4.00/0.88 tff(f2290,plain,( 4.00/0.88 sK2 = max($uminus(sK2),sK2) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f406])). 4.00/0.88 tff(f2312,plain,( 4.00/0.88 spl16_124 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2289,f2284,f2310])). 4.00/0.88 tff(f2310,plain,( 4.00/0.88 spl16_124 <=> sK2 = max(sK2,$uminus(sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_124])])). 4.00/0.88 tff(f2289,plain,( 4.00/0.88 sK2 = max(sK2,$uminus(sK2)) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f405])). 4.00/0.88 tff(f2308,plain,( 4.00/0.88 spl16_123 | spl16_122), 4.00/0.88 inference(avatar_split_clause,[],[f2288,f2284,f2306])). 4.00/0.88 tff(f2288,plain,( 4.00/0.88 $uminus(sK2) = min(sK2,$uminus(sK2)) | spl16_122), 4.00/0.88 inference(resolution,[],[f2285,f404])). 4.00/0.88 tff(f2286,plain,( 4.00/0.88 ~spl16_122 | ~spl16_12 | spl16_105), 4.00/0.88 inference(avatar_split_clause,[],[f2278,f2143,f635,f2284])). 4.00/0.88 tff(f2143,plain,( 4.00/0.88 spl16_105 <=> $less(sK2,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_105])])). 4.00/0.88 tff(f2278,plain,( 4.00/0.88 ~$less(sK2,$uminus(sK2)) | (~spl16_12 | spl16_105)), 4.00/0.88 inference(resolution,[],[f680,f2144])). 4.00/0.88 tff(f2144,plain,( 4.00/0.88 ~$less(sK2,sK2) | spl16_105), 4.00/0.88 inference(avatar_component_clause,[],[f2143])). 4.00/0.88 tff(f2282,plain,( 4.00/0.88 ~spl16_121 | ~spl16_12 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2277,f2205,f635,f2280])). 4.00/0.88 tff(f2205,plain,( 4.00/0.88 spl16_112 <=> $less(sK0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_112])])). 4.00/0.88 tff(f2277,plain,( 4.00/0.88 ~$less(sK2,$uminus(sK0)) | (~spl16_12 | spl16_112)), 4.00/0.88 inference(resolution,[],[f680,f2206])). 4.00/0.88 tff(f2206,plain,( 4.00/0.88 ~$less(sK0,sK2) | spl16_112), 4.00/0.88 inference(avatar_component_clause,[],[f2205])). 4.00/0.88 tff(f2253,plain,( 4.00/0.88 spl16_120 | spl16_3 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2223,f2205,f543,f2250])). 4.00/0.88 tff(f2250,plain,( 4.00/0.88 spl16_120 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_120])])). 4.00/0.88 tff(f2223,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(sK2,0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK2))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f520])). 4.00/0.88 tff(f2248,plain,( 4.00/0.88 spl16_119 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2216,f2205,f2246])). 4.00/0.88 tff(f2246,plain,( 4.00/0.88 spl16_119 <=> min(sK0,sK2) = min(sK2,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_119])])). 4.00/0.88 tff(f2216,plain,( 4.00/0.88 min(sK0,sK2) = min(sK2,sK0) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f409])). 4.00/0.88 tff(f2244,plain,( 4.00/0.88 spl16_118 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2215,f2205,f2242])). 4.00/0.88 tff(f2242,plain,( 4.00/0.88 spl16_118 <=> max(sK0,sK2) = max(sK2,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_118])])). 4.00/0.88 tff(f2215,plain,( 4.00/0.88 max(sK0,sK2) = max(sK2,sK0) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f408])). 4.00/0.88 tff(f2240,plain,( 4.00/0.88 spl16_117 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2214,f2205,f2238])). 4.00/0.88 tff(f2238,plain,( 4.00/0.88 spl16_117 <=> sK2 = min(sK2,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_117])])). 4.00/0.88 tff(f2214,plain,( 4.00/0.88 sK2 = min(sK2,sK0) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f407])). 4.00/0.88 tff(f2236,plain,( 4.00/0.88 spl16_116 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2213,f2205,f2234])). 4.00/0.88 tff(f2234,plain,( 4.00/0.88 spl16_116 <=> sK0 = max(sK2,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_116])])). 4.00/0.88 tff(f2213,plain,( 4.00/0.88 sK0 = max(sK2,sK0) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f406])). 4.00/0.88 tff(f2232,plain,( 4.00/0.88 spl16_115 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2212,f2205,f2230])). 4.00/0.88 tff(f2230,plain,( 4.00/0.88 spl16_115 <=> sK0 = max(sK0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_115])])). 4.00/0.88 tff(f2212,plain,( 4.00/0.88 sK0 = max(sK0,sK2) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f405])). 4.00/0.88 tff(f2228,plain,( 4.00/0.88 spl16_114 | spl16_112), 4.00/0.88 inference(avatar_split_clause,[],[f2211,f2205,f2226])). 4.00/0.88 tff(f2226,plain,( 4.00/0.88 spl16_114 <=> sK2 = min(sK0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_114])])). 4.00/0.88 tff(f2211,plain,( 4.00/0.88 sK2 = min(sK0,sK2) | spl16_112), 4.00/0.88 inference(resolution,[],[f2206,f404])). 4.00/0.88 tff(f2210,plain,( 4.00/0.88 ~spl16_112 | spl16_113 | spl16_2 | ~spl16_24), 4.00/0.88 inference(avatar_split_clause,[],[f2203,f693,f539,f2208,f2205])). 4.00/0.88 tff(f2208,plain,( 4.00/0.88 spl16_113 <=> $less($uminus(sK2),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_113])])). 4.00/0.88 tff(f693,plain,( 4.00/0.88 spl16_24 <=> ! [X3 : $int] : $less($uminus(sK2),mod(X3,sK2))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_24])])). 4.00/0.88 tff(f2203,plain,( 4.00/0.88 $less($uminus(sK2),sK0) | ~$less(sK0,sK2) | (spl16_2 | ~spl16_24)), 4.00/0.88 inference(superposition,[],[f694,f556])). 4.00/0.88 tff(f694,plain,( 4.00/0.88 ( ! [X3 : $int] : ($less($uminus(sK2),mod(X3,sK2))) ) | ~spl16_24), 4.00/0.88 inference(avatar_component_clause,[],[f693])). 4.00/0.88 tff(f2196,plain,( 4.00/0.88 ~spl16_111 | spl16_1), 4.00/0.88 inference(avatar_split_clause,[],[f2192,f535,f2194])). 4.00/0.88 tff(f2192,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl16_1), 4.00/0.88 inference(forward_demodulation,[],[f2179,f373])). 4.00/0.88 tff(f2179,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl16_1), 4.00/0.88 inference(resolution,[],[f536,f524])). 4.00/0.88 tff(f2191,plain,( 4.00/0.88 ~spl16_110 | spl16_1), 4.00/0.88 inference(avatar_split_clause,[],[f2178,f535,f2189])). 4.00/0.88 tff(f2178,plain,( 4.00/0.88 ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl16_1), 4.00/0.88 inference(resolution,[],[f536,f444])). 4.00/0.88 tff(f2187,plain,( 4.00/0.88 ~spl16_109 | spl16_1), 4.00/0.88 inference(avatar_split_clause,[],[f2177,f535,f2185])). 4.00/0.88 tff(f2177,plain,( 4.00/0.88 ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl16_1), 4.00/0.88 inference(resolution,[],[f536,f443])). 4.00/0.88 tff(f2183,plain,( 4.00/0.88 spl16_108 | spl16_1), 4.00/0.88 inference(avatar_split_clause,[],[f2176,f535,f2181])). 4.00/0.88 tff(f2181,plain,( 4.00/0.88 spl16_108 <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_108])])). 4.00/0.88 tff(f2176,plain,( 4.00/0.88 $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1)) | spl16_1), 4.00/0.88 inference(resolution,[],[f536,f442])). 4.00/0.88 tff(f442,plain,( 4.00/0.88 ( ! [X2 : $int,X0 : array_elt3,X1 : $int] : (sorted_sub4(X0,X1,X2) | $less(sK6(X0,X1,X2),X2)) )), 4.00/0.88 inference(cnf_transformation,[],[f329])). 4.00/0.88 tff(f2169,plain,( 4.00/0.88 spl16_106 | spl16_105), 4.00/0.88 inference(avatar_split_clause,[],[f2149,f2143,f2161])). 4.00/0.88 tff(f2161,plain,( 4.00/0.88 spl16_106 <=> sK2 = min(sK2,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_106])])). 4.00/0.88 tff(f2149,plain,( 4.00/0.88 sK2 = min(sK2,sK2) | spl16_105), 4.00/0.88 inference(resolution,[],[f2144,f407])). 4.00/0.88 tff(f2168,plain,( 4.00/0.88 spl16_107 | spl16_105), 4.00/0.88 inference(avatar_split_clause,[],[f2148,f2143,f2165])). 4.00/0.88 tff(f2165,plain,( 4.00/0.88 spl16_107 <=> sK2 = max(sK2,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_107])])). 4.00/0.88 tff(f2148,plain,( 4.00/0.88 sK2 = max(sK2,sK2) | spl16_105), 4.00/0.88 inference(resolution,[],[f2144,f406])). 4.00/0.88 tff(f2167,plain,( 4.00/0.88 spl16_107 | spl16_105), 4.00/0.88 inference(avatar_split_clause,[],[f2147,f2143,f2165])). 4.00/0.88 tff(f2147,plain,( 4.00/0.88 sK2 = max(sK2,sK2) | spl16_105), 4.00/0.88 inference(resolution,[],[f2144,f405])). 4.00/0.88 tff(f2163,plain,( 4.00/0.88 spl16_106 | spl16_105), 4.00/0.88 inference(avatar_split_clause,[],[f2146,f2143,f2161])). 4.00/0.88 tff(f2146,plain,( 4.00/0.88 sK2 = min(sK2,sK2) | spl16_105), 4.00/0.88 inference(resolution,[],[f2144,f404])). 4.00/0.88 tff(f2145,plain,( 4.00/0.88 ~spl16_105 | ~spl16_14), 4.00/0.88 inference(avatar_split_clause,[],[f2141,f643,f2143])). 4.00/0.88 tff(f643,plain,( 4.00/0.88 spl16_14 <=> sK2 = max(sK2,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_14])])). 4.00/0.88 tff(f2141,plain,( 4.00/0.88 ~$less(sK2,sK2) | ~spl16_14), 4.00/0.88 inference(superposition,[],[f393,f644])). 4.00/0.88 tff(f644,plain,( 4.00/0.88 sK2 = max(sK2,0) | ~spl16_14), 4.00/0.88 inference(avatar_component_clause,[],[f643])). 4.00/0.88 tff(f2135,plain,( 4.00/0.88 spl16_104 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2093,f768,f2133])). 4.00/0.88 tff(f2093,plain,( 4.00/0.88 min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f409])). 4.00/0.88 tff(f2131,plain,( 4.00/0.88 spl16_103 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2092,f768,f2129])). 4.00/0.88 tff(f2092,plain,( 4.00/0.88 max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f408])). 4.00/0.88 tff(f2127,plain,( 4.00/0.88 spl16_102 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2091,f768,f2125])). 4.00/0.88 tff(f2091,plain,( 4.00/0.88 0 = min(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f407])). 4.00/0.88 tff(f2123,plain,( 4.00/0.88 spl16_101 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2090,f768,f2121])). 4.00/0.88 tff(f2090,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f406])). 4.00/0.88 tff(f2119,plain,( 4.00/0.88 spl16_100 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2089,f768,f2117])). 4.00/0.88 tff(f2089,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f405])). 4.00/0.88 tff(f2115,plain,( 4.00/0.88 spl16_99 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2088,f768,f2113])). 4.00/0.88 tff(f2088,plain,( 4.00/0.88 0 = min(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f404])). 4.00/0.88 tff(f2111,plain,( 4.00/0.88 ~spl16_98 | ~spl16_12 | ~spl16_22 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2087,f768,f686,f635,f2109])). 4.00/0.88 tff(f2087,plain,( 4.00/0.88 ~$less(0,$uminus(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))) | (~spl16_12 | ~spl16_22 | spl16_33)), 4.00/0.88 inference(resolution,[],[f769,f974])). 4.00/0.88 tff(f974,plain,( 4.00/0.88 ( ! [X1 : $int] : ($less(X1,0) | ~$less(0,$uminus(X1))) ) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f973,f687])). 4.00/0.88 tff(f973,plain,( 4.00/0.88 ( ! [X1 : $int] : ($less(X1,0) | ~$less(sK2,$uminus(X1))) ) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f680,f687])). 4.00/0.88 tff(f2107,plain,( 4.00/0.88 spl16_97 | spl16_33), 4.00/0.88 inference(avatar_split_clause,[],[f2075,f768,f2105])). 4.00/0.88 tff(f2075,plain,( 4.00/0.88 sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = abs(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_33), 4.00/0.88 inference(resolution,[],[f769,f378])). 4.00/0.88 tff(f2026,plain,( 4.00/0.88 spl16_95 | spl16_94), 4.00/0.88 inference(avatar_split_clause,[],[f2006,f2000,f2018])). 4.00/0.88 tff(f2018,plain,( 4.00/0.88 spl16_95 <=> $sum(sK0,0) = min($sum(sK0,0),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_95])])). 4.00/0.88 tff(f2000,plain,( 4.00/0.88 spl16_94 <=> $less($sum(sK0,0),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_94])])). 4.00/0.88 tff(f2006,plain,( 4.00/0.88 $sum(sK0,0) = min($sum(sK0,0),$sum(sK0,0)) | spl16_94), 4.00/0.88 inference(resolution,[],[f2001,f407])). 4.00/0.88 tff(f2001,plain,( 4.00/0.88 ~$less($sum(sK0,0),$sum(sK0,0)) | spl16_94), 4.00/0.88 inference(avatar_component_clause,[],[f2000])). 4.00/0.88 tff(f2025,plain,( 4.00/0.88 spl16_96 | spl16_94), 4.00/0.88 inference(avatar_split_clause,[],[f2005,f2000,f2022])). 4.00/0.88 tff(f2022,plain,( 4.00/0.88 spl16_96 <=> $sum(sK0,0) = max($sum(sK0,0),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_96])])). 4.00/0.88 tff(f2005,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),$sum(sK0,0)) | spl16_94), 4.00/0.88 inference(resolution,[],[f2001,f406])). 4.00/0.88 tff(f2024,plain,( 4.00/0.88 spl16_96 | spl16_94), 4.00/0.88 inference(avatar_split_clause,[],[f2004,f2000,f2022])). 4.00/0.88 tff(f2004,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),$sum(sK0,0)) | spl16_94), 4.00/0.88 inference(resolution,[],[f2001,f405])). 4.00/0.88 tff(f2020,plain,( 4.00/0.88 spl16_95 | spl16_94), 4.00/0.88 inference(avatar_split_clause,[],[f2003,f2000,f2018])). 4.00/0.88 tff(f2003,plain,( 4.00/0.88 $sum(sK0,0) = min($sum(sK0,0),$sum(sK0,0)) | spl16_94), 4.00/0.88 inference(resolution,[],[f2001,f404])). 4.00/0.88 tff(f2002,plain,( 4.00/0.88 ~spl16_94 | ~spl16_78), 4.00/0.88 inference(avatar_split_clause,[],[f1998,f1683,f2000])). 4.00/0.88 tff(f1683,plain,( 4.00/0.88 spl16_78 <=> $sum(sK0,0) = max($sum(sK0,0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_78])])). 4.00/0.88 tff(f1998,plain,( 4.00/0.88 ~$less($sum(sK0,0),$sum(sK0,0)) | ~spl16_78), 4.00/0.88 inference(superposition,[],[f393,f1684])). 4.00/0.88 tff(f1684,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),0) | ~spl16_78), 4.00/0.88 inference(avatar_component_clause,[],[f1683])). 4.00/0.88 tff(f1782,plain,( 4.00/0.88 spl16_85 | ~spl16_12 | ~spl16_22 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f1769,f1671,f686,f635,f1731])). 4.00/0.88 tff(f1731,plain,( 4.00/0.88 spl16_85 <=> 0 = max($uminus($sum(sK0,0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_85])])). 4.00/0.88 tff(f1769,plain,( 4.00/0.88 0 = max($uminus($sum(sK0,0)),0) | (~spl16_12 | ~spl16_22 | ~spl16_75)), 4.00/0.88 inference(superposition,[],[f1036,f1672])). 4.00/0.88 tff(f1036,plain,( 4.00/0.88 ( ! [X7 : $int] : (0 = max($uminus(abs(X7)),0)) ) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(resolution,[],[f975,f406])). 4.00/0.88 tff(f975,plain,( 4.00/0.88 ( ! [X0 : $int] : (~$less(0,$uminus(abs(X0)))) ) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(resolution,[],[f974,f367])). 4.00/0.88 tff(f1781,plain,( 4.00/0.88 spl16_84 | ~spl16_12 | ~spl16_22 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f1768,f1671,f686,f635,f1727])). 4.00/0.88 tff(f1727,plain,( 4.00/0.88 spl16_84 <=> 0 = max(0,$uminus($sum(sK0,0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_84])])). 4.00/0.88 tff(f1768,plain,( 4.00/0.88 0 = max(0,$uminus($sum(sK0,0))) | (~spl16_12 | ~spl16_22 | ~spl16_75)), 4.00/0.88 inference(superposition,[],[f1035,f1672])). 4.00/0.88 tff(f1035,plain,( 4.00/0.88 ( ! [X6 : $int] : (0 = max(0,$uminus(abs(X6)))) ) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(resolution,[],[f975,f405])). 4.00/0.88 tff(f1780,plain,( 4.00/0.88 spl16_91 | spl16_93 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f1764,f1671,f1778,f1771])). 4.00/0.88 tff(f1771,plain,( 4.00/0.88 spl16_91 <=> 0 = $sum(sK0,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_91])])). 4.00/0.88 tff(f1764,plain,( 4.00/0.88 ( ! [X2 : $int] : ($less($uminus($sum(sK0,0)),mod(X2,$sum(sK0,0))) | 0 = $sum(sK0,0)) ) | ~spl16_75), 4.00/0.88 inference(superposition,[],[f402,f1672])). 4.00/0.88 tff(f1776,plain,( 4.00/0.88 spl16_91 | spl16_92 | ~spl16_75), 4.00/0.88 inference(avatar_split_clause,[],[f1763,f1671,f1774,f1771])). 4.00/0.88 tff(f1774,plain,( 4.00/0.88 spl16_92 <=> ! [X1 : $int] : $less(mod(X1,$sum(sK0,0)),$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_92])])). 4.00/0.88 tff(f1763,plain,( 4.00/0.88 ( ! [X1 : $int] : ($less(mod(X1,$sum(sK0,0)),$sum(sK0,0)) | 0 = $sum(sK0,0)) ) | ~spl16_75), 4.00/0.88 inference(superposition,[],[f401,f1672])). 4.00/0.88 tff(f1752,plain,( 4.00/0.88 spl16_89 | spl16_90 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1717,f1675,f1750,f1747])). 4.00/0.88 tff(f1747,plain,( 4.00/0.88 spl16_89 <=> ! [X22 : array_elt3] : (~$less(0,length1(elt7,t2tb10(X22))) | ~sorted4(X22) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus($sum(sK0,0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_89])])). 4.00/0.88 tff(f1750,plain,( 4.00/0.88 spl16_90 <=> $less($uminus($sum(sK0,0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_90])])). 4.00/0.88 tff(f1717,plain,( 4.00/0.88 ( ! [X22 : array_elt3] : ($less($uminus($sum(sK0,0)),0) | ~$less(0,length1(elt7,t2tb10(X22))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb($uminus($sum(sK0,0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X22)),t2tb(0)))) | ~sorted4(X22)) ) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f520])). 4.00/0.88 tff(f1745,plain,( 4.00/0.88 spl16_88 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1710,f1675,f1743])). 4.00/0.88 tff(f1743,plain,( 4.00/0.88 spl16_88 <=> min(0,$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_88])])). 4.00/0.88 tff(f1710,plain,( 4.00/0.88 min(0,$uminus($sum(sK0,0))) = min($uminus($sum(sK0,0)),0) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f409])). 4.00/0.88 tff(f1741,plain,( 4.00/0.88 spl16_87 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1709,f1675,f1739])). 4.00/0.88 tff(f1739,plain,( 4.00/0.88 spl16_87 <=> max(0,$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_87])])). 4.00/0.88 tff(f1709,plain,( 4.00/0.88 max(0,$uminus($sum(sK0,0))) = max($uminus($sum(sK0,0)),0) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f408])). 4.00/0.88 tff(f1737,plain,( 4.00/0.88 spl16_86 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1708,f1675,f1735])). 4.00/0.88 tff(f1708,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min($uminus($sum(sK0,0)),0) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f407])). 4.00/0.88 tff(f1733,plain,( 4.00/0.88 spl16_85 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1707,f1675,f1731])). 4.00/0.88 tff(f1707,plain,( 4.00/0.88 0 = max($uminus($sum(sK0,0)),0) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f406])). 4.00/0.88 tff(f1729,plain,( 4.00/0.88 spl16_84 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1706,f1675,f1727])). 4.00/0.88 tff(f1706,plain,( 4.00/0.88 0 = max(0,$uminus($sum(sK0,0))) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f405])). 4.00/0.88 tff(f1725,plain,( 4.00/0.88 spl16_83 | spl16_76), 4.00/0.88 inference(avatar_split_clause,[],[f1705,f1675,f1723])). 4.00/0.88 tff(f1705,plain,( 4.00/0.88 $uminus($sum(sK0,0)) = min(0,$uminus($sum(sK0,0))) | spl16_76), 4.00/0.88 inference(resolution,[],[f1676,f404])). 4.00/0.88 tff(f1701,plain,( 4.00/0.88 spl16_82 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1659,f1634,f1699])). 4.00/0.88 tff(f1699,plain,( 4.00/0.88 spl16_82 <=> min($sum(sK0,0),0) = min(0,$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_82])])). 4.00/0.88 tff(f1659,plain,( 4.00/0.88 min($sum(sK0,0),0) = min(0,$sum(sK0,0)) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f409])). 4.00/0.88 tff(f1697,plain,( 4.00/0.88 spl16_81 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1658,f1634,f1695])). 4.00/0.88 tff(f1695,plain,( 4.00/0.88 spl16_81 <=> max($sum(sK0,0),0) = max(0,$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_81])])). 4.00/0.88 tff(f1658,plain,( 4.00/0.88 max($sum(sK0,0),0) = max(0,$sum(sK0,0)) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f408])). 4.00/0.88 tff(f1693,plain,( 4.00/0.88 spl16_80 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1657,f1634,f1691])). 4.00/0.88 tff(f1691,plain,( 4.00/0.88 spl16_80 <=> 0 = min(0,$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_80])])). 4.00/0.88 tff(f1657,plain,( 4.00/0.88 0 = min(0,$sum(sK0,0)) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f407])). 4.00/0.88 tff(f1689,plain,( 4.00/0.88 spl16_79 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1656,f1634,f1687])). 4.00/0.88 tff(f1687,plain,( 4.00/0.88 spl16_79 <=> $sum(sK0,0) = max(0,$sum(sK0,0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_79])])). 4.00/0.88 tff(f1656,plain,( 4.00/0.88 $sum(sK0,0) = max(0,$sum(sK0,0)) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f406])). 4.00/0.88 tff(f1685,plain,( 4.00/0.88 spl16_78 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1655,f1634,f1683])). 4.00/0.88 tff(f1655,plain,( 4.00/0.88 $sum(sK0,0) = max($sum(sK0,0),0) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f405])). 4.00/0.88 tff(f1681,plain,( 4.00/0.88 spl16_77 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1654,f1634,f1679])). 4.00/0.88 tff(f1679,plain,( 4.00/0.88 spl16_77 <=> 0 = min($sum(sK0,0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_77])])). 4.00/0.88 tff(f1654,plain,( 4.00/0.88 0 = min($sum(sK0,0),0) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f404])). 4.00/0.88 tff(f1677,plain,( 4.00/0.88 ~spl16_76 | ~spl16_12 | ~spl16_22 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1653,f1634,f686,f635,f1675])). 4.00/0.88 tff(f1653,plain,( 4.00/0.88 ~$less(0,$uminus($sum(sK0,0))) | (~spl16_12 | ~spl16_22 | spl16_73)), 4.00/0.88 inference(resolution,[],[f1635,f974])). 4.00/0.88 tff(f1673,plain,( 4.00/0.88 spl16_75 | spl16_73), 4.00/0.88 inference(avatar_split_clause,[],[f1641,f1634,f1671])). 4.00/0.88 tff(f1641,plain,( 4.00/0.88 $sum(sK0,0) = abs($sum(sK0,0)) | spl16_73), 4.00/0.88 inference(resolution,[],[f1635,f378])). 4.00/0.88 tff(f1640,plain,( 4.00/0.88 spl16_74 | ~spl16_73 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f1629,f539,f1634,f1638])). 4.00/0.88 tff(f1629,plain,( 4.00/0.88 ( ! [X11 : ty,X12 : uni,X13 : uni] : (~$less($sum(sK0,0),0) | get(X11,int,X13,t2tb(sK9(X11,X12,X13,0,sK0))) = X12 | ~sort1(X11,X12)) ) | spl16_2), 4.00/0.88 inference(superposition,[],[f577,f464])). 4.00/0.88 tff(f577,plain,( 4.00/0.88 ( ! [X28 : uni,X29 : uni,X27 : ty] : (~$less($sum(sK0,0),occ1(X27,X28,X29,0,sK0))) ) | spl16_2), 4.00/0.88 inference(evaluation,[],[f570])). 4.00/0.88 tff(f570,plain,( 4.00/0.88 ( ! [X28 : uni,X29 : uni,X27 : ty] : (~$less($sum(sK0,$uminus(0)),occ1(X27,X28,X29,0,sK0))) ) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f467])). 4.00/0.88 tff(f1636,plain,( 4.00/0.88 spl16_72 | ~spl16_73 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f1628,f539,f1634,f1631])). 4.00/0.88 tff(f1628,plain,( 4.00/0.88 ( ! [X10 : uni,X8 : ty,X9 : uni] : (~$less($sum(sK0,0),0) | ~$less(sK9(X8,X9,X10,0,sK0),0) | ~sort1(X8,X9)) ) | spl16_2), 4.00/0.88 inference(superposition,[],[f577,f463])). 4.00/0.88 tff(f1276,plain,( 4.00/0.88 spl16_71 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1242,f1232,f1274])). 4.00/0.88 tff(f1274,plain,( 4.00/0.88 spl16_71 <=> min(sK0,1) = min(1,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_71])])). 4.00/0.88 tff(f1242,plain,( 4.00/0.88 min(sK0,1) = min(1,sK0) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f409])). 4.00/0.88 tff(f1272,plain,( 4.00/0.88 spl16_70 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1241,f1232,f1270])). 4.00/0.88 tff(f1270,plain,( 4.00/0.88 spl16_70 <=> max(sK0,1) = max(1,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_70])])). 4.00/0.88 tff(f1241,plain,( 4.00/0.88 max(sK0,1) = max(1,sK0) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f408])). 4.00/0.88 tff(f1268,plain,( 4.00/0.88 spl16_69 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1240,f1232,f1266])). 4.00/0.88 tff(f1266,plain,( 4.00/0.88 spl16_69 <=> 1 = min(1,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_69])])). 4.00/0.88 tff(f1240,plain,( 4.00/0.88 1 = min(1,sK0) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f407])). 4.00/0.88 tff(f1264,plain,( 4.00/0.88 spl16_68 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1239,f1232,f1262])). 4.00/0.88 tff(f1262,plain,( 4.00/0.88 spl16_68 <=> sK0 = max(1,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_68])])). 4.00/0.88 tff(f1239,plain,( 4.00/0.88 sK0 = max(1,sK0) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f406])). 4.00/0.88 tff(f1260,plain,( 4.00/0.88 spl16_67 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1238,f1232,f1258])). 4.00/0.88 tff(f1258,plain,( 4.00/0.88 spl16_67 <=> sK0 = max(sK0,1)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_67])])). 4.00/0.88 tff(f1238,plain,( 4.00/0.88 sK0 = max(sK0,1) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f405])). 4.00/0.88 tff(f1256,plain,( 4.00/0.88 spl16_66 | spl16_65), 4.00/0.88 inference(avatar_split_clause,[],[f1237,f1232,f1254])). 4.00/0.88 tff(f1254,plain,( 4.00/0.88 spl16_66 <=> 1 = min(sK0,1)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_66])])). 4.00/0.88 tff(f1237,plain,( 4.00/0.88 1 = min(sK0,1) | spl16_65), 4.00/0.88 inference(resolution,[],[f1233,f404])). 4.00/0.88 tff(f1235,plain,( 4.00/0.88 ~spl16_65 | spl16_19 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f1228,f539,f669,f1232])). 4.00/0.88 tff(f669,plain,( 4.00/0.88 spl16_19 <=> 0 = sK0), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_19])])). 4.00/0.88 tff(f1228,plain,( 4.00/0.88 0 = sK0 | ~$less(sK0,1) | spl16_2), 4.00/0.88 inference(superposition,[],[f375,f555])). 4.00/0.88 tff(f1234,plain,( 4.00/0.88 ~spl16_65 | spl16_19 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f1225,f539,f669,f1232])). 4.00/0.88 tff(f1225,plain,( 4.00/0.88 0 = sK0 | ~$less(sK0,1) | spl16_2), 4.00/0.88 inference(superposition,[],[f555,f375])). 4.00/0.88 tff(f1216,plain,( 4.00/0.88 ~spl16_64), 4.00/0.88 inference(avatar_contradiction_clause,[],[f1214])). 4.00/0.88 tff(f1214,plain,( 4.00/0.88 $false | ~spl16_64), 4.00/0.88 inference(resolution,[],[f1212,f367])). 4.00/0.88 tff(f1212,plain,( 4.00/0.88 $less(abs($uminus(sK0)),0) | ~spl16_64), 4.00/0.88 inference(avatar_component_clause,[],[f1211])). 4.00/0.88 tff(f1211,plain,( 4.00/0.88 spl16_64 <=> $less(abs($uminus(sK0)),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_64])])). 4.00/0.88 tff(f1213,plain,( 4.00/0.88 spl16_63 | spl16_64 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1180,f1153,f1211,f1208])). 4.00/0.88 tff(f1208,plain,( 4.00/0.88 spl16_63 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus(sK0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_63])])). 4.00/0.88 tff(f1180,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less(abs($uminus(sK0)),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(abs($uminus(sK0))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f520])). 4.00/0.88 tff(f1154,plain,( 4.00/0.88 ~$less(sK0,abs($uminus(sK0))) | spl16_54), 4.00/0.88 inference(avatar_component_clause,[],[f1153])). 4.00/0.88 tff(f1206,plain,( 4.00/0.88 spl16_62 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1173,f1153,f1204])). 4.00/0.88 tff(f1204,plain,( 4.00/0.88 spl16_62 <=> min(sK0,abs($uminus(sK0))) = min(abs($uminus(sK0)),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_62])])). 4.00/0.88 tff(f1173,plain,( 4.00/0.88 min(sK0,abs($uminus(sK0))) = min(abs($uminus(sK0)),sK0) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f409])). 4.00/0.88 tff(f1202,plain,( 4.00/0.88 spl16_61 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1172,f1153,f1200])). 4.00/0.88 tff(f1200,plain,( 4.00/0.88 spl16_61 <=> max(sK0,abs($uminus(sK0))) = max(abs($uminus(sK0)),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_61])])). 4.00/0.88 tff(f1172,plain,( 4.00/0.88 max(sK0,abs($uminus(sK0))) = max(abs($uminus(sK0)),sK0) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f408])). 4.00/0.88 tff(f1198,plain,( 4.00/0.88 spl16_60 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1171,f1153,f1196])). 4.00/0.88 tff(f1196,plain,( 4.00/0.88 spl16_60 <=> abs($uminus(sK0)) = min(abs($uminus(sK0)),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_60])])). 4.00/0.88 tff(f1171,plain,( 4.00/0.88 abs($uminus(sK0)) = min(abs($uminus(sK0)),sK0) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f407])). 4.00/0.88 tff(f1194,plain,( 4.00/0.88 spl16_59 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1170,f1153,f1192])). 4.00/0.88 tff(f1192,plain,( 4.00/0.88 spl16_59 <=> sK0 = max(abs($uminus(sK0)),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_59])])). 4.00/0.88 tff(f1170,plain,( 4.00/0.88 sK0 = max(abs($uminus(sK0)),sK0) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f406])). 4.00/0.88 tff(f1190,plain,( 4.00/0.88 spl16_58 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1169,f1153,f1188])). 4.00/0.88 tff(f1188,plain,( 4.00/0.88 spl16_58 <=> sK0 = max(sK0,abs($uminus(sK0)))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_58])])). 4.00/0.88 tff(f1169,plain,( 4.00/0.88 sK0 = max(sK0,abs($uminus(sK0))) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f405])). 4.00/0.88 tff(f1186,plain,( 4.00/0.88 spl16_57 | spl16_54), 4.00/0.88 inference(avatar_split_clause,[],[f1168,f1153,f1184])). 4.00/0.88 tff(f1168,plain,( 4.00/0.88 abs($uminus(sK0)) = min(sK0,abs($uminus(sK0))) | spl16_54), 4.00/0.88 inference(resolution,[],[f1154,f404])). 4.00/0.88 tff(f1165,plain,( 4.00/0.88 spl16_55 | spl16_53), 4.00/0.88 inference(avatar_split_clause,[],[f1138,f1115,f1157])). 4.00/0.88 tff(f1157,plain,( 4.00/0.88 spl16_55 <=> $uminus(sK0) = min($uminus(sK0),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_55])])). 4.00/0.88 tff(f1115,plain,( 4.00/0.88 spl16_53 <=> $less($uminus(sK0),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_53])])). 4.00/0.88 tff(f1138,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),$uminus(sK0)) | spl16_53), 4.00/0.88 inference(resolution,[],[f1116,f407])). 4.00/0.88 tff(f1116,plain,( 4.00/0.88 ~$less($uminus(sK0),$uminus(sK0)) | spl16_53), 4.00/0.88 inference(avatar_component_clause,[],[f1115])). 4.00/0.88 tff(f1164,plain,( 4.00/0.88 spl16_56 | spl16_53), 4.00/0.88 inference(avatar_split_clause,[],[f1137,f1115,f1161])). 4.00/0.88 tff(f1161,plain,( 4.00/0.88 spl16_56 <=> $uminus(sK0) = max($uminus(sK0),$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_56])])). 4.00/0.88 tff(f1137,plain,( 4.00/0.88 $uminus(sK0) = max($uminus(sK0),$uminus(sK0)) | spl16_53), 4.00/0.88 inference(resolution,[],[f1116,f406])). 4.00/0.88 tff(f1163,plain,( 4.00/0.88 spl16_56 | spl16_53), 4.00/0.88 inference(avatar_split_clause,[],[f1136,f1115,f1161])). 4.00/0.88 tff(f1136,plain,( 4.00/0.88 $uminus(sK0) = max($uminus(sK0),$uminus(sK0)) | spl16_53), 4.00/0.88 inference(resolution,[],[f1116,f405])). 4.00/0.88 tff(f1159,plain,( 4.00/0.88 spl16_55 | spl16_53), 4.00/0.88 inference(avatar_split_clause,[],[f1135,f1115,f1157])). 4.00/0.88 tff(f1135,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),$uminus(sK0)) | spl16_53), 4.00/0.88 inference(resolution,[],[f1116,f404])). 4.00/0.88 tff(f1155,plain,( 4.00/0.88 spl16_37 | ~spl16_54 | spl16_53), 4.00/0.88 inference(avatar_split_clause,[],[f1134,f1115,f1153,f809])). 4.00/0.88 tff(f809,plain,( 4.00/0.88 spl16_37 <=> $less(sK0,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_37])])). 4.00/0.88 tff(f1134,plain,( 4.00/0.88 ~$less(sK0,abs($uminus(sK0))) | $less(sK0,$uminus(sK0)) | spl16_53), 4.00/0.88 inference(resolution,[],[f1116,f419])). 4.00/0.88 tff(f1117,plain,( 4.00/0.88 ~spl16_53 | ~spl16_38), 4.00/0.88 inference(avatar_split_clause,[],[f1112,f831,f1115])). 4.00/0.88 tff(f831,plain,( 4.00/0.88 spl16_38 <=> $uminus(sK0) = min(sK0,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_38])])). 4.00/0.88 tff(f1112,plain,( 4.00/0.88 ~$less($uminus(sK0),$uminus(sK0)) | ~spl16_38), 4.00/0.88 inference(superposition,[],[f394,f832])). 4.00/0.88 tff(f832,plain,( 4.00/0.88 $uminus(sK0) = min(sK0,$uminus(sK0)) | ~spl16_38), 4.00/0.88 inference(avatar_component_clause,[],[f831])). 4.00/0.88 tff(f1030,plain,( 4.00/0.88 spl16_52 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f995,f983,f1028])). 4.00/0.88 tff(f1028,plain,( 4.00/0.88 spl16_52 <=> min(0,$uminus(sK0)) = min($uminus(sK0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_52])])). 4.00/0.88 tff(f995,plain,( 4.00/0.88 min(0,$uminus(sK0)) = min($uminus(sK0),0) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f409])). 4.00/0.88 tff(f1026,plain,( 4.00/0.88 spl16_51 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f994,f983,f1024])). 4.00/0.88 tff(f1024,plain,( 4.00/0.88 spl16_51 <=> max(0,$uminus(sK0)) = max($uminus(sK0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_51])])). 4.00/0.88 tff(f994,plain,( 4.00/0.88 max(0,$uminus(sK0)) = max($uminus(sK0),0) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f408])). 4.00/0.88 tff(f1022,plain,( 4.00/0.88 spl16_50 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f993,f983,f1020])). 4.00/0.88 tff(f1020,plain,( 4.00/0.88 spl16_50 <=> $uminus(sK0) = min($uminus(sK0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_50])])). 4.00/0.88 tff(f993,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),0) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f407])). 4.00/0.88 tff(f1018,plain,( 4.00/0.88 spl16_49 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f992,f983,f1016])). 4.00/0.88 tff(f1016,plain,( 4.00/0.88 spl16_49 <=> 0 = max($uminus(sK0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_49])])). 4.00/0.88 tff(f992,plain,( 4.00/0.88 0 = max($uminus(sK0),0) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f406])). 4.00/0.88 tff(f1014,plain,( 4.00/0.88 spl16_48 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f991,f983,f1012])). 4.00/0.88 tff(f1012,plain,( 4.00/0.88 spl16_48 <=> 0 = max(0,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_48])])). 4.00/0.88 tff(f991,plain,( 4.00/0.88 0 = max(0,$uminus(sK0)) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f405])). 4.00/0.88 tff(f1010,plain,( 4.00/0.88 spl16_47 | spl16_46), 4.00/0.88 inference(avatar_split_clause,[],[f990,f983,f1008])). 4.00/0.88 tff(f1008,plain,( 4.00/0.88 spl16_47 <=> $uminus(sK0) = min(0,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_47])])). 4.00/0.88 tff(f990,plain,( 4.00/0.88 $uminus(sK0) = min(0,$uminus(sK0)) | spl16_46), 4.00/0.88 inference(resolution,[],[f984,f404])). 4.00/0.88 tff(f985,plain,( 4.00/0.88 ~spl16_46 | spl16_2 | ~spl16_12 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f980,f686,f635,f539,f983])). 4.00/0.88 tff(f980,plain,( 4.00/0.88 ~$less(0,$uminus(sK0)) | (spl16_2 | ~spl16_12 | ~spl16_22)), 4.00/0.88 inference(resolution,[],[f974,f540])). 4.00/0.88 tff(f860,plain,( 4.00/0.88 spl16_44 | spl16_45 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f825,f809,f858,f855])). 4.00/0.88 tff(f855,plain,( 4.00/0.88 spl16_44 <=> ! [X20 : array_elt3] : (~$less(sK0,length1(elt7,t2tb10(X20))) | ~sorted4(X20) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_44])])). 4.00/0.88 tff(f858,plain,( 4.00/0.88 spl16_45 <=> $less($uminus(sK0),0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_45])])). 4.00/0.88 tff(f825,plain,( 4.00/0.88 ( ! [X20 : array_elt3] : ($less($uminus(sK0),0) | ~$less(sK0,length1(elt7,t2tb10(X20))) | le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb($uminus(sK0)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X20)),t2tb(sK0)))) | ~sorted4(X20)) ) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f520])). 4.00/0.88 tff(f810,plain,( 4.00/0.88 ~$less(sK0,$uminus(sK0)) | spl16_37), 4.00/0.88 inference(avatar_component_clause,[],[f809])). 4.00/0.88 tff(f853,plain,( 4.00/0.88 spl16_43 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f818,f809,f851])). 4.00/0.88 tff(f851,plain,( 4.00/0.88 spl16_43 <=> min(sK0,$uminus(sK0)) = min($uminus(sK0),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_43])])). 4.00/0.88 tff(f818,plain,( 4.00/0.88 min(sK0,$uminus(sK0)) = min($uminus(sK0),sK0) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f409])). 4.00/0.88 tff(f849,plain,( 4.00/0.88 spl16_42 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f817,f809,f847])). 4.00/0.88 tff(f847,plain,( 4.00/0.88 spl16_42 <=> max(sK0,$uminus(sK0)) = max($uminus(sK0),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_42])])). 4.00/0.88 tff(f817,plain,( 4.00/0.88 max(sK0,$uminus(sK0)) = max($uminus(sK0),sK0) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f408])). 4.00/0.88 tff(f845,plain,( 4.00/0.88 spl16_41 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f816,f809,f843])). 4.00/0.88 tff(f843,plain,( 4.00/0.88 spl16_41 <=> $uminus(sK0) = min($uminus(sK0),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_41])])). 4.00/0.88 tff(f816,plain,( 4.00/0.88 $uminus(sK0) = min($uminus(sK0),sK0) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f407])). 4.00/0.88 tff(f841,plain,( 4.00/0.88 spl16_40 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f815,f809,f839])). 4.00/0.88 tff(f839,plain,( 4.00/0.88 spl16_40 <=> sK0 = max($uminus(sK0),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_40])])). 4.00/0.88 tff(f815,plain,( 4.00/0.88 sK0 = max($uminus(sK0),sK0) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f406])). 4.00/0.88 tff(f837,plain,( 4.00/0.88 spl16_39 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f814,f809,f835])). 4.00/0.88 tff(f835,plain,( 4.00/0.88 spl16_39 <=> sK0 = max(sK0,$uminus(sK0))), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_39])])). 4.00/0.88 tff(f814,plain,( 4.00/0.88 sK0 = max(sK0,$uminus(sK0)) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f405])). 4.00/0.88 tff(f833,plain,( 4.00/0.88 spl16_38 | spl16_37), 4.00/0.88 inference(avatar_split_clause,[],[f813,f809,f831])). 4.00/0.88 tff(f813,plain,( 4.00/0.88 $uminus(sK0) = min(sK0,$uminus(sK0)) | spl16_37), 4.00/0.88 inference(resolution,[],[f810,f404])). 4.00/0.88 tff(f811,plain,( 4.00/0.88 ~spl16_37 | ~spl16_5 | spl16_28), 4.00/0.88 inference(avatar_split_clause,[],[f807,f726,f579,f809])). 4.00/0.88 tff(f579,plain,( 4.00/0.88 spl16_5 <=> sK0 = abs(sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_5])])). 4.00/0.88 tff(f726,plain,( 4.00/0.88 spl16_28 <=> $less(sK0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_28])])). 4.00/0.88 tff(f807,plain,( 4.00/0.88 ~$less(sK0,$uminus(sK0)) | (~spl16_5 | spl16_28)), 4.00/0.88 inference(resolution,[],[f663,f727])). 4.00/0.88 tff(f727,plain,( 4.00/0.88 ~$less(sK0,sK0) | spl16_28), 4.00/0.88 inference(avatar_component_clause,[],[f726])). 4.00/0.88 tff(f663,plain,( 4.00/0.88 ( ! [X1 : $int] : ($less(X1,sK0) | ~$less(sK0,$uminus(X1))) ) | ~spl16_5), 4.00/0.88 inference(superposition,[],[f421,f580])). 4.00/0.88 tff(f580,plain,( 4.00/0.88 sK0 = abs(sK0) | ~spl16_5), 4.00/0.88 inference(avatar_component_clause,[],[f579])). 4.00/0.88 tff(f793,plain,( 4.00/0.88 spl16_35 | ~spl16_16 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f792,f686,f651,f782])). 4.00/0.88 tff(f651,plain,( 4.00/0.88 spl16_16 <=> 0 = min(0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_16])])). 4.00/0.88 tff(f792,plain,( 4.00/0.88 0 = min(0,0) | (~spl16_16 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f652,f687])). 4.00/0.88 tff(f652,plain,( 4.00/0.88 0 = min(0,sK2) | ~spl16_16), 4.00/0.88 inference(avatar_component_clause,[],[f651])). 4.00/0.88 tff(f791,plain,( 4.00/0.88 spl16_36 | ~spl16_15 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f790,f686,f647,f787])). 4.00/0.88 tff(f787,plain,( 4.00/0.88 spl16_36 <=> 0 = max(0,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_36])])). 4.00/0.88 tff(f647,plain,( 4.00/0.88 spl16_15 <=> sK2 = max(0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_15])])). 4.00/0.88 tff(f790,plain,( 4.00/0.88 0 = max(0,0) | (~spl16_15 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f648,f687])). 4.00/0.88 tff(f648,plain,( 4.00/0.88 sK2 = max(0,sK2) | ~spl16_15), 4.00/0.88 inference(avatar_component_clause,[],[f647])). 4.00/0.88 tff(f789,plain,( 4.00/0.88 spl16_36 | ~spl16_14 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f785,f686,f643,f787])). 4.00/0.88 tff(f785,plain,( 4.00/0.88 0 = max(0,0) | (~spl16_14 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f644,f687])). 4.00/0.88 tff(f784,plain,( 4.00/0.88 spl16_35 | ~spl16_13 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f780,f686,f639,f782])). 4.00/0.88 tff(f639,plain,( 4.00/0.88 spl16_13 <=> 0 = min(sK2,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_13])])). 4.00/0.88 tff(f780,plain,( 4.00/0.88 0 = min(0,0) | (~spl16_13 | ~spl16_22)), 4.00/0.88 inference(forward_demodulation,[],[f640,f687])). 4.00/0.88 tff(f640,plain,( 4.00/0.88 0 = min(sK2,0) | ~spl16_13), 4.00/0.88 inference(avatar_component_clause,[],[f639])). 4.00/0.88 tff(f775,plain,( 4.00/0.88 ~spl16_34 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f771,f710,f773])). 4.00/0.88 tff(f771,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_27), 4.00/0.88 inference(forward_demodulation,[],[f758,f373])). 4.00/0.88 tff(f758,plain,( 4.00/0.88 ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f524])). 4.00/0.88 tff(f770,plain,( 4.00/0.88 ~spl16_33 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f757,f710,f768])). 4.00/0.88 tff(f757,plain,( 4.00/0.88 ~$less(sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f444])). 4.00/0.88 tff(f766,plain,( 4.00/0.88 ~spl16_32 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f756,f710,f764])). 4.00/0.88 tff(f756,plain,( 4.00/0.88 ~$less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK5(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f443])). 4.00/0.88 tff(f762,plain,( 4.00/0.88 spl16_31 | spl16_27), 4.00/0.88 inference(avatar_split_clause,[],[f755,f710,f760])). 4.00/0.88 tff(f760,plain,( 4.00/0.88 spl16_31 <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),1)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_31])])). 4.00/0.88 tff(f755,plain,( 4.00/0.88 $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),1) | spl16_27), 4.00/0.88 inference(resolution,[],[f711,f442])). 4.00/0.88 tff(f752,plain,( 4.00/0.88 spl16_29 | spl16_28), 4.00/0.88 inference(avatar_split_clause,[],[f732,f726,f744])). 4.00/0.88 tff(f744,plain,( 4.00/0.88 spl16_29 <=> sK0 = min(sK0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_29])])). 4.00/0.88 tff(f732,plain,( 4.00/0.88 sK0 = min(sK0,sK0) | spl16_28), 4.00/0.88 inference(resolution,[],[f727,f407])). 4.00/0.88 tff(f751,plain,( 4.00/0.88 spl16_30 | spl16_28), 4.00/0.88 inference(avatar_split_clause,[],[f731,f726,f748])). 4.00/0.88 tff(f748,plain,( 4.00/0.88 spl16_30 <=> sK0 = max(sK0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_30])])). 4.00/0.88 tff(f731,plain,( 4.00/0.88 sK0 = max(sK0,sK0) | spl16_28), 4.00/0.88 inference(resolution,[],[f727,f406])). 4.00/0.88 tff(f750,plain,( 4.00/0.88 spl16_30 | spl16_28), 4.00/0.88 inference(avatar_split_clause,[],[f730,f726,f748])). 4.00/0.88 tff(f730,plain,( 4.00/0.88 sK0 = max(sK0,sK0) | spl16_28), 4.00/0.88 inference(resolution,[],[f727,f405])). 4.00/0.88 tff(f746,plain,( 4.00/0.88 spl16_29 | spl16_28), 4.00/0.88 inference(avatar_split_clause,[],[f729,f726,f744])). 4.00/0.88 tff(f729,plain,( 4.00/0.88 sK0 = min(sK0,sK0) | spl16_28), 4.00/0.88 inference(resolution,[],[f727,f404])). 4.00/0.88 tff(f728,plain,( 4.00/0.88 ~spl16_28 | ~spl16_7), 4.00/0.88 inference(avatar_split_clause,[],[f724,f587,f726])). 4.00/0.88 tff(f587,plain,( 4.00/0.88 spl16_7 <=> sK0 = max(sK0,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_7])])). 4.00/0.88 tff(f724,plain,( 4.00/0.88 ~$less(sK0,sK0) | ~spl16_7), 4.00/0.88 inference(superposition,[],[f393,f588])). 4.00/0.88 tff(f588,plain,( 4.00/0.88 sK0 = max(sK0,0) | ~spl16_7), 4.00/0.88 inference(avatar_component_clause,[],[f587])). 4.00/0.88 tff(f712,plain,( 4.00/0.88 ~spl16_27 | spl16_1 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f708,f686,f535,f710])). 4.00/0.88 tff(f706,plain,( 4.00/0.88 spl16_26 | ~spl16_4 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f697,f686,f547,f704])). 4.00/0.88 tff(f704,plain,( 4.00/0.88 spl16_26 <=> $less(0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_26])])). 4.00/0.88 tff(f697,plain,( 4.00/0.88 $less(0,sK0) | (~spl16_4 | ~spl16_22)), 4.00/0.88 inference(superposition,[],[f548,f687])). 4.00/0.88 tff(f548,plain,( 4.00/0.88 $less(sK2,sK0) | ~spl16_4), 4.00/0.88 inference(avatar_component_clause,[],[f547])). 4.00/0.88 tff(f702,plain,( 4.00/0.88 spl16_25 | ~spl16_12 | ~spl16_22), 4.00/0.88 inference(avatar_split_clause,[],[f696,f686,f635,f700])). 4.00/0.88 tff(f696,plain,( 4.00/0.88 0 = abs(0) | (~spl16_12 | ~spl16_22)), 4.00/0.88 inference(superposition,[],[f636,f687])). 4.00/0.88 tff(f695,plain,( 4.00/0.88 spl16_22 | spl16_24 | ~spl16_12), 4.00/0.88 inference(avatar_split_clause,[],[f682,f635,f693,f686])). 4.00/0.88 tff(f682,plain,( 4.00/0.88 ( ! [X3 : $int] : ($less($uminus(sK2),mod(X3,sK2)) | 0 = sK2) ) | ~spl16_12), 4.00/0.88 inference(superposition,[],[f402,f636])). 4.00/0.88 tff(f691,plain,( 4.00/0.88 spl16_22 | spl16_23 | ~spl16_12), 4.00/0.88 inference(avatar_split_clause,[],[f681,f635,f689,f686])). 4.00/0.88 tff(f689,plain,( 4.00/0.88 spl16_23 <=> ! [X2 : $int] : $less(mod(X2,sK2),sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_23])])). 4.00/0.88 tff(f681,plain,( 4.00/0.88 ( ! [X2 : $int] : ($less(mod(X2,sK2),sK2) | 0 = sK2) ) | ~spl16_12), 4.00/0.88 inference(superposition,[],[f401,f636])). 4.00/0.88 tff(f678,plain,( 4.00/0.88 spl16_19 | spl16_21 | ~spl16_5), 4.00/0.88 inference(avatar_split_clause,[],[f665,f579,f676,f669])). 4.00/0.88 tff(f665,plain,( 4.00/0.88 ( ! [X3 : $int] : ($less($uminus(sK0),mod(X3,sK0)) | 0 = sK0) ) | ~spl16_5), 4.00/0.88 inference(superposition,[],[f402,f580])). 4.00/0.88 tff(f674,plain,( 4.00/0.88 spl16_19 | spl16_20 | ~spl16_5), 4.00/0.88 inference(avatar_split_clause,[],[f664,f579,f672,f669])). 4.00/0.88 tff(f672,plain,( 4.00/0.88 spl16_20 <=> ! [X2 : $int] : $less(mod(X2,sK0),sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_20])])). 4.00/0.88 tff(f664,plain,( 4.00/0.88 ( ! [X2 : $int] : ($less(mod(X2,sK0),sK0) | 0 = sK0) ) | ~spl16_5), 4.00/0.88 inference(superposition,[],[f401,f580])). 4.00/0.88 tff(f661,plain,( 4.00/0.88 spl16_18 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f623,f543,f659])). 4.00/0.88 tff(f659,plain,( 4.00/0.88 spl16_18 <=> min(sK2,0) = min(0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_18])])). 4.00/0.88 tff(f623,plain,( 4.00/0.88 min(sK2,0) = min(0,sK2) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f409])). 4.00/0.88 tff(f657,plain,( 4.00/0.88 spl16_17 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f622,f543,f655])). 4.00/0.88 tff(f655,plain,( 4.00/0.88 spl16_17 <=> max(sK2,0) = max(0,sK2)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_17])])). 4.00/0.88 tff(f622,plain,( 4.00/0.88 max(sK2,0) = max(0,sK2) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f408])). 4.00/0.88 tff(f653,plain,( 4.00/0.88 spl16_16 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f621,f543,f651])). 4.00/0.88 tff(f621,plain,( 4.00/0.88 0 = min(0,sK2) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f407])). 4.00/0.88 tff(f649,plain,( 4.00/0.88 spl16_15 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f620,f543,f647])). 4.00/0.88 tff(f620,plain,( 4.00/0.88 sK2 = max(0,sK2) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f406])). 4.00/0.88 tff(f645,plain,( 4.00/0.88 spl16_14 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f619,f543,f643])). 4.00/0.88 tff(f619,plain,( 4.00/0.88 sK2 = max(sK2,0) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f405])). 4.00/0.88 tff(f641,plain,( 4.00/0.88 spl16_13 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f618,f543,f639])). 4.00/0.88 tff(f618,plain,( 4.00/0.88 0 = min(sK2,0) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f404])). 4.00/0.88 tff(f637,plain,( 4.00/0.88 spl16_12 | spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f606,f543,f635])). 4.00/0.88 tff(f606,plain,( 4.00/0.88 sK2 = abs(sK2) | spl16_3), 4.00/0.88 inference(resolution,[],[f544,f378])). 4.00/0.88 tff(f605,plain,( 4.00/0.88 spl16_11 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f567,f539,f603])). 4.00/0.88 tff(f603,plain,( 4.00/0.88 spl16_11 <=> min(sK0,0) = min(0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_11])])). 4.00/0.88 tff(f567,plain,( 4.00/0.88 min(sK0,0) = min(0,sK0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f409])). 4.00/0.88 tff(f601,plain,( 4.00/0.88 spl16_10 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f566,f539,f599])). 4.00/0.88 tff(f599,plain,( 4.00/0.88 spl16_10 <=> max(sK0,0) = max(0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_10])])). 4.00/0.88 tff(f566,plain,( 4.00/0.88 max(sK0,0) = max(0,sK0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f408])). 4.00/0.88 tff(f597,plain,( 4.00/0.88 spl16_9 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f565,f539,f595])). 4.00/0.88 tff(f595,plain,( 4.00/0.88 spl16_9 <=> 0 = min(0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_9])])). 4.00/0.88 tff(f565,plain,( 4.00/0.88 0 = min(0,sK0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f407])). 4.00/0.88 tff(f593,plain,( 4.00/0.88 spl16_8 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f564,f539,f591])). 4.00/0.88 tff(f591,plain,( 4.00/0.88 spl16_8 <=> sK0 = max(0,sK0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_8])])). 4.00/0.88 tff(f564,plain,( 4.00/0.88 sK0 = max(0,sK0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f406])). 4.00/0.88 tff(f589,plain,( 4.00/0.88 spl16_7 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f563,f539,f587])). 4.00/0.88 tff(f563,plain,( 4.00/0.88 sK0 = max(sK0,0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f405])). 4.00/0.88 tff(f585,plain,( 4.00/0.88 spl16_6 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f562,f539,f583])). 4.00/0.88 tff(f583,plain,( 4.00/0.88 spl16_6 <=> 0 = min(sK0,0)), 4.00/0.88 introduced(avatar_definition,[new_symbols(naming,[spl16_6])])). 4.00/0.88 tff(f562,plain,( 4.00/0.88 0 = min(sK0,0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f404])). 4.00/0.88 tff(f581,plain,( 4.00/0.88 spl16_5 | spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f550,f539,f579])). 4.00/0.88 tff(f550,plain,( 4.00/0.88 sK0 = abs(sK0) | spl16_2), 4.00/0.88 inference(resolution,[],[f540,f378])). 4.00/0.88 tff(f549,plain,( 4.00/0.88 spl16_4), 4.00/0.88 inference(avatar_split_clause,[],[f357,f547])). 4.00/0.88 tff(f357,plain,( 4.00/0.88 $less(sK2,sK0)), 4.00/0.88 inference(cnf_transformation,[],[f315])). 4.00/0.88 tff(f315,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) & ~$less(sK0,0) & ~$less(sK2,0) & $less(sK2,sK0)), 4.00/0.88 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f233,f314])). 4.00/0.88 tff(f314,plain,( 4.00/0.88 ? [X0 : $int,X1 : map_int_elt3,X2 : $int] : (~sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) & ~$less(X0,0) & ~$less(X2,0) & $less(X2,X0)) => (~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) & ~$less(sK0,0) & ~$less(sK2,0) & $less(sK2,sK0))), 4.00/0.88 introduced(choice_axiom,[])). 4.00/0.88 tff(f233,plain,( 4.00/0.88 ? [X0 : $int,X1 : map_int_elt3,X2 : $int] : (~sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) & ~$less(X0,0) & ~$less(X2,0) & $less(X2,X0))), 4.00/0.88 inference(flattening,[],[f232])). 4.00/0.88 tff(f232,plain,( 4.00/0.88 ? [X0 : $int,X1 : map_int_elt3,X2 : $int] : (~sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) & (~$less(X0,0) & ~$less(X2,0) & $less(X2,X0)))), 4.00/0.88 inference(ennf_transformation,[],[f142])). 4.00/0.88 tff(f142,plain,( 4.00/0.88 ~! [X0 : $int,X1 : map_int_elt3,X2 : $int] : ((~$less(X0,0) & ~$less(X2,0) & $less(X2,X0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)))), 4.00/0.88 inference(rectify,[],[f100])). 4.00/0.88 tff(f100,plain,( 4.00/0.88 ~! [X0 : $int,X10 : map_int_elt3,X28 : $int] : ((~$less(X0,0) & ~$less(X28,0) & $less(X28,X0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X10))),X28,$sum(X28,1)))), 4.00/0.88 inference(theory_normalization,[],[f83])). 4.00/0.88 tff(f83,negated_conjecture,( 4.00/0.88 ~! [X0 : $int,X10 : map_int_elt3,X28 : $int] : (($lesseq(0,X0) & $lesseq(0,X28) & $less(X28,X0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X10))),X28,$sum(X28,1)))), 4.00/0.88 inference(negated_conjecture,[],[f82])). 4.00/0.88 tff(f82,conjecture,( 4.00/0.88 ! [X0 : $int,X10 : map_int_elt3,X28 : $int] : (($lesseq(0,X0) & $lesseq(0,X28) & $less(X28,X0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X10))),X28,$sum(X28,1)))), 4.00/0.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_find_run)). 4.00/0.88 tff(f545,plain,( 4.00/0.88 ~spl16_3), 4.00/0.88 inference(avatar_split_clause,[],[f358,f543])). 4.00/0.88 tff(f358,plain,( 4.00/0.88 ~$less(sK2,0)), 4.00/0.88 inference(cnf_transformation,[],[f315])). 4.00/0.88 tff(f541,plain,( 4.00/0.88 ~spl16_2), 4.00/0.88 inference(avatar_split_clause,[],[f359,f539])). 4.00/0.88 tff(f359,plain,( 4.00/0.88 ~$less(sK0,0)), 4.00/0.88 inference(cnf_transformation,[],[f315])). 4.00/0.88 tff(f537,plain,( 4.00/0.88 ~spl16_1), 4.00/0.88 inference(avatar_split_clause,[],[f360,f535])). 4.00/0.88 tff(f360,plain,( 4.00/0.88 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.00/0.88 inference(cnf_transformation,[],[f315])). 4.00/0.88 % SZS output end Proof for theBenchmark 4.00/0.88 % (32410)------------------------------ 4.00/0.88 % (32410)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.00/0.88 % (32410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.00/0.88 % (32410)Termination reason: Refutation 4.00/0.88 4.00/0.88 % (32410)Memory used [KB]: 5756 4.00/0.88 % (32410)Time elapsed: 0.444 s 4.00/0.88 % (32410)------------------------------ 4.00/0.88 % (32410)------------------------------ 4.00/0.88 % (32407)Success in time 0.52 s 4.00/0.88 EOF