0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.32 % Computer : n031.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % DateTime : Thu Jul 2 06:49:32 EDT 2020 0.10/0.32 % CPUTime : 0.16/0.39 % 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 0.49/0.73 % Refutation found. Thanks to Tanya! 0.49/0.73 % SZS status Theorem for theBenchmark 0.49/0.73 % SZS output start Proof for theBenchmark 0.49/0.73 tff(type_def_5, type, uni: $tType). 0.49/0.73 tff(type_def_6, type, ty: $tType). 0.49/0.73 tff(type_def_7, type, bool1: $tType). 0.49/0.73 tff(type_def_8, type, tuple02: $tType). 0.49/0.73 tff(type_def_9, type, elt4: $tType). 0.49/0.73 tff(type_def_10, type, array_elt2: $tType). 0.49/0.73 tff(type_def_11, type, map_int_elt2: $tType). 0.49/0.73 tff(func_def_0, type, witness1: ty > uni). 0.49/0.73 tff(func_def_1, type, int: ty). 0.49/0.73 tff(func_def_2, type, real: ty). 0.49/0.73 tff(func_def_3, type, bool: ty). 0.49/0.73 tff(func_def_4, type, true1: bool1). 0.49/0.73 tff(func_def_5, type, false1: bool1). 0.49/0.73 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 0.49/0.73 tff(func_def_7, type, tuple0: ty). 0.49/0.73 tff(func_def_8, type, tuple03: tuple02). 0.49/0.73 tff(func_def_9, type, qtmark: ty). 0.49/0.73 tff(func_def_10, type, map: (ty * ty) > ty). 0.49/0.73 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 0.49/0.73 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 0.49/0.73 tff(func_def_13, type, const: (ty * ty * uni) > uni). 0.49/0.73 tff(func_def_14, type, array: ty > ty). 0.49/0.73 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 0.49/0.73 tff(func_def_16, type, length1: (ty * uni) > $int). 0.49/0.73 tff(func_def_17, type, elts: (ty * uni) > uni). 0.49/0.73 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 0.49/0.73 tff(func_def_19, type, t2tb: $int > uni). 0.49/0.73 tff(func_def_20, type, tb2t: uni > $int). 0.49/0.73 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 0.49/0.73 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 0.49/0.73 tff(func_def_23, type, elt5: ty). 0.49/0.73 tff(func_def_24, type, t2tb7: elt4 > uni). 0.49/0.73 tff(func_def_25, type, tb2t7: uni > elt4). 0.49/0.73 tff(func_def_26, type, t2tb8: array_elt2 > uni). 0.49/0.73 tff(func_def_27, type, tb2t8: uni > array_elt2). 0.49/0.73 tff(func_def_28, type, ref: ty > ty). 0.49/0.73 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 0.49/0.73 tff(func_def_30, type, contents: (ty * uni) > uni). 0.49/0.73 tff(func_def_31, type, occ1: (ty * uni * uni * $int * $int) > $int). 0.49/0.73 tff(func_def_32, type, abs: $int > $int). 0.49/0.73 tff(func_def_33, type, div: ($int * $int) > $int). 0.49/0.73 tff(func_def_34, type, mod: ($int * $int) > $int). 0.49/0.73 tff(func_def_35, type, min: ($int * $int) > $int). 0.49/0.73 tff(func_def_36, type, max: ($int * $int) > $int). 0.49/0.73 tff(func_def_37, type, t2tb9: map_int_elt2 > uni). 0.49/0.73 tff(func_def_38, type, tb2t9: uni > map_int_elt2). 0.49/0.73 tff(func_def_45, type, sK0: $int). 0.49/0.73 tff(func_def_46, type, sK1: map_int_elt2). 0.49/0.73 tff(func_def_47, type, sK2: $int). 0.49/0.73 tff(func_def_48, type, sK3: map_int_elt2). 0.49/0.73 tff(func_def_49, type, sK4: $int). 0.49/0.73 tff(func_def_50, type, sK5: map_int_elt2). 0.49/0.73 tff(func_def_51, type, sK6: $int). 0.49/0.73 tff(func_def_52, type, sK7: array_elt2 > $int). 0.49/0.73 tff(func_def_53, type, sK8: array_elt2 > $int). 0.49/0.73 tff(func_def_54, type, sK9: (array_elt2 * $int * $int) > $int). 0.49/0.73 tff(func_def_55, type, sK10: (array_elt2 * $int * $int) > $int). 0.49/0.73 tff(func_def_56, type, sK11: (ty * uni * uni * $int * $int) > uni). 0.49/0.73 tff(func_def_57, type, sK12: (ty * uni * uni * $int * $int) > $int). 0.49/0.73 tff(func_def_58, type, sK13: (ty * uni * uni * $int * $int) > $int). 0.49/0.73 tff(func_def_59, type, sK14: (ty * uni * uni * $int * $int) > $int). 0.49/0.73 tff(func_def_60, type, sK15: (ty * uni * uni * $int * $int * $int) > $int). 0.49/0.73 tff(func_def_61, type, sK16: (ty * uni * uni * $int * $int) > $int). 0.49/0.73 tff(func_def_62, type, sK17: (ty * uni * uni * $int * $int * $int * $int) > $int). 0.49/0.73 tff(pred_def_1, type, sort1: (ty * uni) > $o). 0.49/0.73 tff(pred_def_2, type, le3: (elt4 * elt4) > $o). 0.49/0.73 tff(pred_def_3, type, sorted_sub3: (array_elt2 * $int * $int) > $o). 0.49/0.73 tff(pred_def_4, type, sorted3: array_elt2 > $o). 0.49/0.73 tff(pred_def_5, type, permut2: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_6, type, map_eq_sub1: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_7, type, array_eq_sub1: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_8, type, array_eq: (ty * uni * uni) > $o). 0.49/0.73 tff(pred_def_9, type, exchange2: (ty * uni * uni * $int * $int * $int * $int) > $o). 0.49/0.73 tff(pred_def_10, type, exchange3: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_11, type, permut3: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_12, type, permut_sub1: (ty * uni * uni * $int * $int) > $o). 0.49/0.73 tff(pred_def_13, type, permut_all: (ty * uni * uni) > $o). 0.49/0.73 tff(f4388,plain,( 0.49/0.73 $false), 0.49/0.73 inference(avatar_sat_refutation,[],[f534,f539,f544,f548,f552,f557,f561,f565,f569,f573,f590,f595,f638,f642,f646,f673,f704,f715,f734,f738,f742,f763,f767,f771,f790,f794,f798,f819,f823,f827,f891,f898,f905,f906,f907,f908,f915,f925,f929,f933,f990,f1002,f1011,f1065,f1072,f1079,f1084,f1094,f1098,f1102,f1235,f1396,f1398,f1434,f1438,f1442,f1446,f1451,f1455,f1459,f1467,f1472,f1530,f1534,f1538,f1543,f1547,f1551,f1561,f1563,f1648,f1652,f1663,f1667,f1681,f1696,f1700,f1704,f1706,f1710,f1712,f1723,f1725,f1784,f1788,f1792,f1855,f1868,f1872,f1880,f1882,f1906,f1910,f1914,f1954,f1958,f1962,f1966,f1970,f1974,f1976,f1978,f2013,f2185,f2219,f2224,f2343,f2345,f2390,f2394,f2398,f2402,f2406,f2410,f2412,f2414,f2597,f2601,f2605,f2736,f2740,f2744,f2748,f2752,f2756,f2758,f2760,f3208,f3212,f3247,f3264,f3268,f3381,f3386,f3440,f3447,f3465,f3469,f3511,f3603,f3711,f3715,f3748,f3752,f3989,f3993,f4187,f4284,f4288,f4292,f4296,f4300,f4316,f4325,f4329,f4333,f4337,f4360,f4369,f4387])). 0.49/0.73 tff(f4387,plain,( 0.49/0.73 ~spl18_313 | spl18_314 | spl18_316 | ~spl18_42), 0.49/0.73 inference(avatar_split_clause,[],[f4377,f736,f4385,f4382,f4379])). 0.49/0.73 tff(f4379,plain,( 0.49/0.73 spl18_313 <=> ~$less($product(-1,sK4),sK0)), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_313])])). 0.49/0.73 tff(f4382,plain,( 0.49/0.73 spl18_314 <=> $less($product(-1,sK4),0)), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_314])])). 0.49/0.73 tff(f4385,plain,( 0.49/0.73 spl18_316 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(-1,sK4),0)), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_316])])). 0.49/0.73 tff(f736,plain,( 0.49/0.73 spl18_42 <=> min(sK0,0) = 0), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_42])])). 0.49/0.73 tff(f4377,plain,( 0.49/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(-1,sK4),0) | $less($product(-1,sK4),0) | ~$less($product(-1,sK4),sK0) | ~spl18_42), 0.49/0.73 inference(forward_demodulation,[],[f4376,f153])). 0.49/0.73 tff(f153,plain,( 0.49/0.73 ( ! [X0:$int,X1:$int] : ($product(X0,X1) = $product(X1,X0)) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f4376,plain,( 0.49/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,-1),0) | $less($product(-1,sK4),0) | ~$less($product(-1,sK4),sK0) | ~spl18_42), 0.49/0.73 inference(forward_demodulation,[],[f4375,f737])). 0.49/0.73 tff(f737,plain,( 0.49/0.73 min(sK0,0) = 0 | ~spl18_42), 0.49/0.73 inference(avatar_component_clause,[],[f736])). 0.49/0.73 tff(f4375,plain,( 0.49/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,-1),min(sK0,0)) | $less($product(-1,sK4),0) | ~$less($product(-1,sK4),sK0)), 0.49/0.73 inference(forward_demodulation,[],[f4354,f156])). 0.49/0.73 tff(f156,plain,( 0.49/0.73 ( ! [X0:$int] : (0 = $product(X0,0)) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f4354,plain,( 0.49/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,-1),min(sK0,$product(sK4,0))) | $less($product(-1,sK4),0) | ~$less($product(-1,sK4),sK0)), 0.49/0.73 inference(evaluation,[],[f4349])). 0.49/0.73 tff(f4349,plain,( 0.49/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,$uminus(1)),min(sK0,$product(sK4,0))) | $less($product($uminus(1),sK4),0) | ~$less($product($uminus(1),sK4),sK0)), 0.49/0.73 inference(superposition,[],[f1780,f146])). 0.49/0.73 tff(f146,plain,( 0.49/0.73 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f1780,plain,( 0.49/0.73 ( ! [X2:$int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,X2),min(sK0,$product(sK4,$sum(1,X2)))) | $less($product(X2,sK4),0) | ~$less($product(X2,sK4),sK0)) )), 0.49/0.73 inference(backward_demodulation,[],[f1756,f618])). 0.49/0.73 tff(f618,plain,( 0.49/0.73 ( ! [X2:$int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,X2),min(sK0,$sum(sK4,$product(sK4,X2)))) | $less($product(X2,sK4),0) | ~$less($product(X2,sK4),sK0)) )), 0.49/0.73 inference(superposition,[],[f553,f153])). 0.49/0.73 tff(f553,plain,( 0.49/0.73 ( ! [X7:$int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(X7,sK4),min(sK0,$sum(sK4,$product(X7,sK4)))) | $less($product(X7,sK4),0) | ~$less($product(X7,sK4),sK0)) )), 0.49/0.73 inference(forward_demodulation,[],[f360,f142])). 0.49/0.73 tff(f142,plain,( 0.49/0.73 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f360,plain,( 0.49/0.73 ( ! [X7:$int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(X7,sK4),min(sK0,$sum($product(X7,sK4),sK4))) | $less($product(X7,sK4),0) | ~$less($product(X7,sK4),sK0)) )), 0.49/0.73 inference(cnf_transformation,[],[f313])). 0.49/0.73 tff(f313,plain,( 0.49/0.73 (((~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK6,sK4),min(sK0,$sum($product(sK6,sK4),sK4))) & $less($product(sK6,sK4),sK0) & ~$less($product(sK6,sK4),0)) & $less(sK4,sK0) & ~$less(sK4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(X7,sK4),min(sK0,$sum($product(X7,sK4),sK4))) | $less($product(X7,sK4),0) | ~$less($product(X7,sK4),sK0)) & permut_all(elt5,mk_array1(elt5,sK0,t2tb9(sK1)),mk_array1(elt5,sK0,t2tb9(sK5)))) & ~$less(sK2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(sK1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(X8))) | ~$less(X8,sK2) | $less(X8,0)) & sK0 = sK2) & ~$less(sK0,0)), 0.49/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f308,f312,f311,f310,f309])). 0.49/0.73 tff(f309,plain,( 0.49/0.73 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5)))) & ~$less(X2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & X0 = X2) & ~$less(X0,0)) => (? [X3 : map_int_elt2,X2 : $int] : (? [X5 : map_int_elt2,X4 : $int] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(X5))),$product(X6,X4),min(sK0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),sK0) & ~$less($product(X6,X4),0)) & $less(X4,sK0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(X5))),$product(X7,X4),min(sK0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),sK0)) & permut_all(elt5,mk_array1(elt5,sK0,t2tb9(sK1)),mk_array1(elt5,sK0,t2tb9(X5)))) & ~$less(X2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(sK1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & sK0 = X2) & ~$less(sK0,0))), 0.49/0.73 introduced(choice_axiom,[])). 0.49/0.73 tff(f310,plain,( 0.49/0.73 ( ! [X0:$int,X1:map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5)))) & ~$less(X2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & X0 = X2) => (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5)))) & ~$less(sK2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(sK3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) | ~$less(X8,sK2) | $less(X8,0)) & sK2 = X0)) )), 0.49/0.73 introduced(choice_axiom,[])). 0.49/0.73 tff(f311,plain,( 0.49/0.73 ( ! [X0:$int,X1:map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5)))) => (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(sK5))),$product(X6,sK4),min(X0,$sum($product(X6,sK4),sK4))) & $less($product(X6,sK4),X0) & ~$less($product(X6,sK4),0)) & $less(sK4,X0) & ~$less(sK4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(sK5))),$product(X7,sK4),min(X0,$sum($product(X7,sK4),sK4))) | $less($product(X7,sK4),0) | ~$less($product(X7,sK4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(sK5))))) )), 0.49/0.73 introduced(choice_axiom,[])). 0.49/0.73 tff(f312,plain,( 0.49/0.73 ( ! [X4:$int,X0:$int,X5:map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) => (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(sK6,X4),min(X0,$sum($product(sK6,X4),X4))) & $less($product(sK6,X4),X0) & ~$less($product(sK6,X4),0))) )), 0.49/0.73 introduced(choice_axiom,[])). 0.49/0.73 tff(f308,plain,( 0.49/0.73 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ~$less(X4,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | $less($product(X7,X4),0) | ~$less($product(X7,X4),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5)))) & ~$less(X2,0) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & X0 = X2) & ~$less(X0,0))), 0.49/0.73 inference(rectify,[],[f227])). 0.49/0.73 tff(f227,plain,( 0.49/0.73 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X5 : $int,X6 : map_int_elt2] : (? [X8 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))) & $less($product(X8,X5),X0) & ~$less($product(X8,X5),0)) & $less(X5,X0) & ~$less(X5,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5))) | $less($product(X7,X5),0) | ~$less($product(X7,X5),X0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6)))) & ~$less(X2,0) & ! [X4 : $int] : (tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4))) | ~$less(X4,X2) | $less(X4,0)) & X0 = X2) & ~$less(X0,0))), 0.49/0.73 inference(flattening,[],[f226])). 0.49/0.73 tff(f226,plain,( 0.49/0.73 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X5 : $int,X6 : map_int_elt2] : ((? [X8 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))) & ($less($product(X8,X5),X0) & ~$less($product(X8,X5),0))) & $less(X5,X0)) & (~$less(X5,1) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5))) | ($less($product(X7,X5),0) | ~$less($product(X7,X5),X0))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6))))) & (~$less(X2,0) & ! [X4 : $int] : (tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4))) | (~$less(X4,X2) | $less(X4,0))) & X0 = X2)) & ~$less(X0,0))), 0.49/0.73 inference(ennf_transformation,[],[f160])). 0.49/0.73 tff(f160,plain,( 0.49/0.73 ~! [X0 : $int,X1 : map_int_elt2] : (~$less(X0,0) => ! [X2 : $int,X3 : map_int_elt2] : ((~$less(X2,0) & ! [X4 : $int] : (($less(X4,X2) & ~$less(X4,0)) => tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4)))) & X0 = X2) => ! [X5 : $int,X6 : map_int_elt2] : ((~$less(X5,1) & ! [X7 : $int] : ((~$less($product(X7,X5),0) & $less($product(X7,X5),X0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5)))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6)))) => ($less(X5,X0) => ! [X8 : $int] : (($less($product(X8,X5),X0) & ~$less($product(X8,X5),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))))))))), 0.49/0.73 inference(rectify,[],[f100])). 0.49/0.73 tff(f100,plain,( 0.49/0.73 ~! [X2 : $int,X8 : map_int_elt2] : (~$less(X2,0) => ! [X11 : $int,X12 : map_int_elt2] : ((~$less(X11,0) & ! [X6 : $int] : (($less(X6,X11) & ~$less(X6,0)) => tb2t7(get(elt5,int,t2tb9(X8),t2tb(X6))) = tb2t7(get(elt5,int,t2tb9(X12),t2tb(X6)))) & X2 = X11) => ! [X13 : $int,X9 : map_int_elt2] : ((~$less(X13,1) & ! [X14 : $int] : ((~$less($product(X14,X13),0) & $less($product(X14,X13),X2)) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13)))) & permut_all(elt5,mk_array1(elt5,X2,t2tb9(X8)),mk_array1(elt5,X2,t2tb9(X9)))) => ($less(X13,X2) => ! [X14 : $int] : (($less($product(X14,X13),X2) & ~$less($product(X14,X13),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13))))))))), 0.49/0.73 inference(evaluation,[],[f11])). 0.49/0.73 tff(f11,negated_conjecture,( 0.49/0.73 ~! [X2 : $int,X8 : map_int_elt2] : ($lesseq(0,X2) => ! [X11 : $int,X12 : map_int_elt2] : (($lesseq(0,X11) & ! [X6 : $int] : (($less(X6,X11) & $lesseq(0,X6)) => tb2t7(get(elt5,int,t2tb9(X8),t2tb(X6))) = tb2t7(get(elt5,int,t2tb9(X12),t2tb(X6)))) & X2 = X11) => ! [X13 : $int,X9 : map_int_elt2] : (($lesseq(1,X13) & ! [X14 : $int] : (($lesseq(0,$product(X14,X13)) & $less($product(X14,X13),X2)) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13)))) & permut_all(elt5,mk_array1(elt5,X2,t2tb9(X8)),mk_array1(elt5,X2,t2tb9(X9)))) => ($less(X13,X2) => ! [X14 : $int] : (($less($product(X14,X13),X2) & $lesseq(0,$product(X14,X13))) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13))))))))), 0.49/0.73 inference(negated_conjecture,[],[f10])). 0.49/0.73 tff(f10,conjecture,( 0.49/0.73 ! [X2 : $int,X8 : map_int_elt2] : ($lesseq(0,X2) => ! [X11 : $int,X12 : map_int_elt2] : (($lesseq(0,X11) & ! [X6 : $int] : (($less(X6,X11) & $lesseq(0,X6)) => tb2t7(get(elt5,int,t2tb9(X8),t2tb(X6))) = tb2t7(get(elt5,int,t2tb9(X12),t2tb(X6)))) & X2 = X11) => ! [X13 : $int,X9 : map_int_elt2] : (($lesseq(1,X13) & ! [X14 : $int] : (($lesseq(0,$product(X14,X13)) & $less($product(X14,X13),X2)) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13)))) & permut_all(elt5,mk_array1(elt5,X2,t2tb9(X8)),mk_array1(elt5,X2,t2tb9(X9)))) => ($less(X13,X2) => ! [X14 : $int] : (($less($product(X14,X13),X2) & $lesseq(0,$product(X14,X13))) => sorted_sub3(tb2t8(mk_array1(elt5,X2,t2tb9(X9))),$product(X14,X13),min(X2,$sum($product(X14,X13),X13))))))))), 0.49/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort)). 0.49/0.73 tff(f1756,plain,( 0.49/0.73 ( ! [X0:$int,X1:$int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )), 0.49/0.73 inference(superposition,[],[f157,f155])). 0.49/0.73 tff(f155,plain,( 0.49/0.73 ( ! [X0:$int] : ($product(X0,1) = X0) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f157,plain,( 0.49/0.73 ( ! [X2:$int,X0:$int,X1:$int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )), 0.49/0.73 introduced(theory_axiom,[])). 0.49/0.73 tff(f4369,plain,( 0.49/0.73 spl18_310 | spl18_20), 0.49/0.73 inference(avatar_split_clause,[],[f4365,f585,f4367])). 0.49/0.73 tff(f4367,plain,( 0.49/0.73 spl18_310 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(2,sK4)))), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_310])])). 0.49/0.73 tff(f585,plain,( 0.49/0.73 spl18_20 <=> $less(sK4,0)), 0.49/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_20])])). 0.56/0.73 tff(f4365,plain,( 0.56/0.73 $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(2,sK4)))), 0.56/0.73 inference(global_subsumption,[],[f362,f4364])). 0.56/0.73 tff(f4364,plain,( 0.56/0.73 ~$less(sK4,sK0) | $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(2,sK4)))), 0.56/0.73 inference(forward_demodulation,[],[f4363,f612])). 0.56/0.73 tff(f612,plain,( 0.56/0.73 ( ! [X0:$int] : ($product(1,X0) = X0) )), 0.56/0.73 inference(superposition,[],[f153,f155])). 0.56/0.73 tff(f4363,plain,( 0.56/0.73 $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(2,sK4))) | ~$less($product(1,sK4),sK0)), 0.56/0.73 inference(forward_demodulation,[],[f4362,f612])). 0.56/0.73 tff(f4362,plain,( 0.56/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(2,sK4))) | $less($product(1,sK4),0) | ~$less($product(1,sK4),sK0)), 0.56/0.73 inference(forward_demodulation,[],[f4356,f153])). 0.56/0.73 tff(f4356,plain,( 0.56/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(sK4,2))) | $less($product(1,sK4),0) | ~$less($product(1,sK4),sK0)), 0.56/0.73 inference(evaluation,[],[f4344])). 0.56/0.73 tff(f4344,plain,( 0.56/0.73 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$product(sK4,$sum(1,1)))) | $less($product(1,sK4),0) | ~$less($product(1,sK4),sK0)), 0.56/0.73 inference(superposition,[],[f1780,f155])). 0.56/0.73 tff(f362,plain,( 0.56/0.73 $less(sK4,sK0)), 0.56/0.73 inference(cnf_transformation,[],[f313])). 0.56/0.73 tff(f4360,plain,( 0.56/0.73 spl18_173), 0.56/0.73 inference(avatar_contradiction_clause,[],[f4359])). 0.56/0.73 tff(f4359,plain,( 0.56/0.73 $false | ~spl18_173), 0.56/0.73 inference(global_subsumption,[],[f535,f540,f4358])). 0.56/0.73 tff(f4358,plain,( 0.56/0.73 ~$less($product(sK4,sK6),sK0) | $less($product(sK4,sK6),0) | ~spl18_173), 0.56/0.73 inference(forward_demodulation,[],[f4357,f153])). 0.56/0.73 tff(f4357,plain,( 0.56/0.73 $less($product(sK4,sK6),0) | ~$less($product(sK6,sK4),sK0) | ~spl18_173), 0.56/0.73 inference(forward_demodulation,[],[f4342,f153])). 0.56/0.73 tff(f4342,plain,( 0.56/0.73 $less($product(sK6,sK4),0) | ~$less($product(sK6,sK4),sK0) | ~spl18_173), 0.56/0.73 inference(resolution,[],[f1780,f1791])). 0.56/0.73 tff(f1791,plain,( 0.56/0.73 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))) | ~spl18_173), 0.56/0.73 inference(avatar_component_clause,[],[f1790])). 0.56/0.73 tff(f1790,plain,( 0.56/0.73 spl18_173 <=> ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6))))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_173])])). 0.56/0.73 tff(f540,plain,( 0.56/0.73 ~$less($product(sK4,sK6),0)), 0.56/0.73 inference(forward_demodulation,[],[f363,f153])). 0.56/0.73 tff(f363,plain,( 0.56/0.73 ~$less($product(sK6,sK4),0)), 0.56/0.73 inference(cnf_transformation,[],[f313])). 0.56/0.73 tff(f535,plain,( 0.56/0.73 $less($product(sK4,sK6),sK0)), 0.56/0.73 inference(forward_demodulation,[],[f364,f153])). 0.56/0.73 tff(f364,plain,( 0.56/0.73 $less($product(sK6,sK4),sK0)), 0.56/0.73 inference(cnf_transformation,[],[f313])). 0.56/0.73 tff(f4337,plain,( 0.56/0.73 spl18_308 | ~spl18_240 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4255,f4185,f2746,f4335])). 0.56/0.73 tff(f4335,plain,( 0.56/0.73 spl18_308 <=> max(sK4,$uminus(sK4)) = sK4), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_308])])). 0.56/0.73 tff(f2746,plain,( 0.56/0.73 spl18_240 <=> abs(sK4) = max(abs(sK4),$uminus(abs(sK4)))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_240])])). 0.56/0.73 tff(f4185,plain,( 0.56/0.73 spl18_288 <=> abs(sK4) = sK4), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_288])])). 0.56/0.73 tff(f4255,plain,( 0.56/0.73 max(sK4,$uminus(sK4)) = sK4 | (~spl18_240 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2747])). 0.56/0.73 tff(f2747,plain,( 0.56/0.73 abs(sK4) = max(abs(sK4),$uminus(abs(sK4))) | ~spl18_240), 0.56/0.73 inference(avatar_component_clause,[],[f2746])). 0.56/0.73 tff(f4186,plain,( 0.56/0.73 abs(sK4) = sK4 | ~spl18_288), 0.56/0.73 inference(avatar_component_clause,[],[f4185])). 0.56/0.73 tff(f4333,plain,( 0.56/0.73 spl18_306 | ~spl18_238 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4254,f4185,f2742,f4331])). 0.56/0.73 tff(f4331,plain,( 0.56/0.73 spl18_306 <=> max($uminus(sK4),sK4) = sK4), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_306])])). 0.56/0.73 tff(f2742,plain,( 0.56/0.73 spl18_238 <=> abs(sK4) = max($uminus(abs(sK4)),abs(sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_238])])). 0.56/0.73 tff(f4254,plain,( 0.56/0.73 max($uminus(sK4),sK4) = sK4 | (~spl18_238 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2743])). 0.56/0.73 tff(f2743,plain,( 0.56/0.73 abs(sK4) = max($uminus(abs(sK4)),abs(sK4)) | ~spl18_238), 0.56/0.73 inference(avatar_component_clause,[],[f2742])). 0.56/0.73 tff(f4329,plain,( 0.56/0.73 spl18_304 | ~spl18_236 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4253,f4185,f2738,f4327])). 0.56/0.73 tff(f4327,plain,( 0.56/0.73 spl18_304 <=> min($uminus(sK4),sK4) = $uminus(sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_304])])). 0.56/0.73 tff(f2738,plain,( 0.56/0.73 spl18_236 <=> min($uminus(abs(sK4)),abs(sK4)) = $uminus(abs(sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_236])])). 0.56/0.73 tff(f4253,plain,( 0.56/0.73 min($uminus(sK4),sK4) = $uminus(sK4) | (~spl18_236 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2739])). 0.56/0.73 tff(f2739,plain,( 0.56/0.73 min($uminus(abs(sK4)),abs(sK4)) = $uminus(abs(sK4)) | ~spl18_236), 0.56/0.73 inference(avatar_component_clause,[],[f2738])). 0.56/0.73 tff(f4325,plain,( 0.56/0.73 spl18_302 | ~spl18_234 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4252,f4185,f2734,f4323])). 0.56/0.73 tff(f4323,plain,( 0.56/0.73 spl18_302 <=> min(sK4,$uminus(sK4)) = $uminus(sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_302])])). 0.56/0.73 tff(f2734,plain,( 0.56/0.73 spl18_234 <=> min(abs(sK4),$uminus(abs(sK4))) = $uminus(abs(sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_234])])). 0.56/0.73 tff(f4252,plain,( 0.56/0.73 min(sK4,$uminus(sK4)) = $uminus(sK4) | (~spl18_234 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2735])). 0.56/0.73 tff(f2735,plain,( 0.56/0.73 min(abs(sK4),$uminus(abs(sK4))) = $uminus(abs(sK4)) | ~spl18_234), 0.56/0.73 inference(avatar_component_clause,[],[f2734])). 0.56/0.73 tff(f4316,plain,( 0.56/0.73 ~spl18_301 | spl18_233 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4242,f4185,f2603,f4314])). 0.56/0.73 tff(f4314,plain,( 0.56/0.73 spl18_301 <=> ~$less(sK4,$uminus(sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_301])])). 0.56/0.73 tff(f2603,plain,( 0.56/0.73 spl18_233 <=> ~$less(abs(sK4),$uminus(abs(sK4)))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_233])])). 0.56/0.73 tff(f4242,plain,( 0.56/0.73 ~$less(sK4,$uminus(sK4)) | (~spl18_233 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2604])). 0.56/0.73 tff(f2604,plain,( 0.56/0.73 ~$less(abs(sK4),$uminus(abs(sK4))) | ~spl18_233), 0.56/0.73 inference(avatar_component_clause,[],[f2603])). 0.56/0.73 tff(f4300,plain,( 0.56/0.73 spl18_298 | ~spl18_206 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4203,f4185,f2011,f4298])). 0.56/0.73 tff(f4298,plain,( 0.56/0.73 spl18_298 <=> abs($uminus(sK4)) = sK4), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_298])])). 0.56/0.73 tff(f2011,plain,( 0.56/0.73 spl18_206 <=> abs(sK4) = abs($uminus(abs(sK4)))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_206])])). 0.56/0.73 tff(f4203,plain,( 0.56/0.73 abs($uminus(sK4)) = sK4 | (~spl18_206 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f2012])). 0.56/0.73 tff(f2012,plain,( 0.56/0.73 abs(sK4) = abs($uminus(abs(sK4))) | ~spl18_206), 0.56/0.73 inference(avatar_component_clause,[],[f2011])). 0.56/0.73 tff(f4296,plain,( 0.56/0.73 spl18_296 | ~spl18_182 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4199,f4185,f1875,f4294])). 0.56/0.73 tff(f4294,plain,( 0.56/0.73 spl18_296 <=> $less($uminus(sK4),0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_296])])). 0.56/0.73 tff(f1875,plain,( 0.56/0.73 spl18_182 <=> $less($uminus(abs(sK4)),0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_182])])). 0.56/0.73 tff(f4199,plain,( 0.56/0.73 $less($uminus(sK4),0) | (~spl18_182 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f1876])). 0.56/0.73 tff(f1876,plain,( 0.56/0.73 $less($uminus(abs(sK4)),0) | ~spl18_182), 0.56/0.73 inference(avatar_component_clause,[],[f1875])). 0.56/0.73 tff(f4292,plain,( 0.56/0.73 spl18_294 | ~spl18_180 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4198,f4185,f1870,f4290])). 0.56/0.73 tff(f4290,plain,( 0.56/0.73 spl18_294 <=> $less($uminus(sK4),sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_294])])). 0.56/0.73 tff(f1870,plain,( 0.56/0.73 spl18_180 <=> $less($uminus(abs(sK4)),sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_180])])). 0.56/0.73 tff(f4198,plain,( 0.56/0.73 $less($uminus(sK4),sK4) | (~spl18_180 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f1871])). 0.56/0.73 tff(f1871,plain,( 0.56/0.73 $less($uminus(abs(sK4)),sK4) | ~spl18_180), 0.56/0.73 inference(avatar_component_clause,[],[f1870])). 0.56/0.73 tff(f4288,plain,( 0.56/0.73 spl18_292 | ~spl18_178 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4197,f4185,f1866,f4286])). 0.56/0.73 tff(f4286,plain,( 0.56/0.73 spl18_292 <=> $less($uminus(sK4),sK0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_292])])). 0.56/0.73 tff(f1866,plain,( 0.56/0.73 spl18_178 <=> $less($uminus(abs(sK4)),sK0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_178])])). 0.56/0.73 tff(f4197,plain,( 0.56/0.73 $less($uminus(sK4),sK0) | (~spl18_178 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f1867])). 0.56/0.73 tff(f1867,plain,( 0.56/0.73 $less($uminus(abs(sK4)),sK0) | ~spl18_178), 0.56/0.73 inference(avatar_component_clause,[],[f1866])). 0.56/0.73 tff(f4284,plain,( 0.56/0.73 spl18_290 | ~spl18_148 | ~spl18_288), 0.56/0.73 inference(avatar_split_clause,[],[f4191,f4185,f1646,f4282])). 0.56/0.73 tff(f4282,plain,( 0.56/0.73 spl18_290 <=> $less($uminus(sK4),1)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_290])])). 0.56/0.73 tff(f1646,plain,( 0.56/0.73 spl18_148 <=> $less($uminus(abs(sK4)),1)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_148])])). 0.56/0.73 tff(f4191,plain,( 0.56/0.73 $less($uminus(sK4),1) | (~spl18_148 | ~spl18_288)), 0.56/0.73 inference(backward_demodulation,[],[f4186,f1647])). 0.56/0.73 tff(f1647,plain,( 0.56/0.73 $less($uminus(abs(sK4)),1) | ~spl18_148), 0.56/0.73 inference(avatar_component_clause,[],[f1646])). 0.56/0.73 tff(f4187,plain,( 0.56/0.73 spl18_288 | ~spl18_258), 0.56/0.73 inference(avatar_split_clause,[],[f4162,f3435,f4185])). 0.56/0.73 tff(f3435,plain,( 0.56/0.73 spl18_258 <=> $less(0,sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_258])])). 0.56/0.73 tff(f4162,plain,( 0.56/0.73 abs(sK4) = sK4 | ~spl18_258), 0.56/0.73 inference(resolution,[],[f3726,f147])). 0.56/0.73 tff(f147,plain,( 0.56/0.73 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.56/0.73 introduced(theory_axiom,[])). 0.56/0.73 tff(f3726,plain,( 0.56/0.73 ( ! [X0:$int] : ($less(X0,sK4) | abs(X0) = X0) ) | ~spl18_258), 0.56/0.73 inference(resolution,[],[f3456,f384])). 0.56/0.73 tff(f384,plain,( 0.56/0.73 ( ! [X0:$int] : ($less(X0,0) | abs(X0) = X0) )), 0.56/0.73 inference(cnf_transformation,[],[f228])). 0.56/0.73 tff(f228,plain,( 0.56/0.73 ! [X0 : $int] : ((abs(X0) = X0 | $less(X0,0)) & (abs(X0) = $uminus(X0) | ~$less(X0,0)))), 0.56/0.73 inference(ennf_transformation,[],[f102])). 0.56/0.73 tff(f102,plain,( 0.56/0.73 ! [X0 : $int] : ((~$less(X0,0) => abs(X0) = X0) & ($less(X0,0) => abs(X0) = $uminus(X0)))), 0.56/0.73 inference(evaluation,[],[f39])). 0.56/0.73 tff(f39,axiom,( 0.56/0.73 ! [X0 : $int] : (($lesseq(0,X0) => abs(X0) = X0) & (~$lesseq(0,X0) => abs(X0) = $uminus(X0)))), 0.56/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)). 0.56/0.73 tff(f3456,plain,( 0.56/0.73 ( ! [X9:$int] : (~$less(X9,0) | $less(X9,sK4)) ) | ~spl18_258), 0.56/0.73 inference(resolution,[],[f3436,f148])). 0.56/0.73 tff(f148,plain,( 0.56/0.73 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 0.56/0.73 introduced(theory_axiom,[])). 0.56/0.73 tff(f3436,plain,( 0.56/0.73 $less(0,sK4) | ~spl18_258), 0.56/0.73 inference(avatar_component_clause,[],[f3435])). 0.56/0.73 tff(f3993,plain,( 0.56/0.73 spl18_284 | spl18_286 | ~spl18_168), 0.56/0.73 inference(avatar_split_clause,[],[f3976,f1782,f3991,f3987])). 0.56/0.73 tff(f3987,plain,( 0.56/0.73 spl18_284 <=> $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_284])])). 0.56/0.73 tff(f3991,plain,( 0.56/0.73 spl18_286 <=> mod(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) = sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6))))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_286])])). 0.56/0.73 tff(f1782,plain,( 0.56/0.73 spl18_168 <=> $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6))))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_168])])). 0.56/0.73 tff(f3976,plain,( 0.56/0.73 mod(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) = sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))) | $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),0) | ~spl18_168), 0.56/0.73 inference(resolution,[],[f1783,f419])). 0.56/0.73 tff(f419,plain,( 0.56/0.73 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | mod(X0,X1) = X0 | $less(X0,0)) )), 0.56/0.73 inference(cnf_transformation,[],[f251])). 0.56/0.73 tff(f251,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))), 0.56/0.73 inference(flattening,[],[f250])). 0.56/0.73 tff(f250,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))), 0.56/0.73 inference(ennf_transformation,[],[f116])). 0.56/0.73 tff(f116,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod(X0,X1) = X0)), 0.56/0.73 inference(evaluation,[],[f83])). 0.56/0.73 tff(f83,axiom,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & $lesseq(0,X0)) => mod(X0,X1) = X0)), 0.56/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf)). 0.56/0.73 tff(f1783,plain,( 0.56/0.73 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) | ~spl18_168), 0.56/0.73 inference(avatar_component_clause,[],[f1782])). 0.56/0.73 tff(f3989,plain,( 0.56/0.73 spl18_282 | spl18_284 | ~spl18_168), 0.56/0.73 inference(avatar_split_clause,[],[f3975,f1782,f3987,f3984])). 0.56/0.73 tff(f3984,plain,( 0.56/0.73 spl18_282 <=> div(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) = 0), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_282])])). 0.56/0.73 tff(f3975,plain,( 0.56/0.73 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),0) | div(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) = 0 | ~spl18_168), 0.56/0.73 inference(resolution,[],[f1783,f423])). 0.56/0.73 tff(f423,plain,( 0.56/0.73 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X0,0) | div(X0,X1) = 0) )), 0.56/0.73 inference(cnf_transformation,[],[f257])). 0.56/0.73 tff(f257,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (div(X0,X1) = 0 | $less(X0,0) | ~$less(X0,X1))), 0.56/0.73 inference(flattening,[],[f256])). 0.56/0.73 tff(f256,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (div(X0,X1) = 0 | ($less(X0,0) | ~$less(X0,X1)))), 0.56/0.73 inference(ennf_transformation,[],[f119])). 0.56/0.73 tff(f119,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => div(X0,X1) = 0)), 0.56/0.73 inference(evaluation,[],[f72])). 0.56/0.73 tff(f72,axiom,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (($lesseq(0,X0) & $less(X0,X1)) => div(X0,X1) = 0)), 0.56/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf)). 0.56/0.73 tff(f3752,plain,( 0.56/0.73 spl18_280 | ~spl18_208 | ~spl18_258), 0.56/0.73 inference(avatar_split_clause,[],[f3730,f3435,f2183,f3750])). 0.56/0.73 tff(f3750,plain,( 0.56/0.73 spl18_280 <=> $less($uminus($product(sK4,sK6)),sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_280])])). 0.56/0.73 tff(f2183,plain,( 0.56/0.73 spl18_208 <=> $less($uminus($product(sK4,sK6)),0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_208])])). 0.56/0.73 tff(f3730,plain,( 0.56/0.73 $less($uminus($product(sK4,sK6)),sK4) | (~spl18_208 | ~spl18_258)), 0.56/0.73 inference(resolution,[],[f3456,f2184])). 0.56/0.73 tff(f2184,plain,( 0.56/0.73 $less($uminus($product(sK4,sK6)),0) | ~spl18_208), 0.56/0.73 inference(avatar_component_clause,[],[f2183])). 0.56/0.73 tff(f3748,plain,( 0.56/0.73 spl18_278 | ~spl18_106 | ~spl18_258), 0.56/0.73 inference(avatar_split_clause,[],[f3729,f3435,f1100,f3746])). 0.56/0.73 tff(f3746,plain,( 0.56/0.73 spl18_278 <=> $less($uminus(abs(1)),sK4)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_278])])). 0.56/0.73 tff(f1100,plain,( 0.56/0.73 spl18_106 <=> $less($uminus(abs(1)),0)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_106])])). 0.56/0.73 tff(f3729,plain,( 0.56/0.73 $less($uminus(abs(1)),sK4) | (~spl18_106 | ~spl18_258)), 0.56/0.73 inference(resolution,[],[f3456,f1101])). 0.56/0.73 tff(f1101,plain,( 0.56/0.73 $less($uminus(abs(1)),0) | ~spl18_106), 0.56/0.73 inference(avatar_component_clause,[],[f1100])). 0.56/0.73 tff(f3715,plain,( 0.56/0.73 spl18_276 | ~spl18_272), 0.56/0.73 inference(avatar_split_clause,[],[f3702,f3601,f3713])). 0.56/0.73 tff(f3713,plain,( 0.56/0.73 spl18_276 <=> mod(0,abs(sK4)) = 0), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_276])])). 0.56/0.73 tff(f3601,plain,( 0.56/0.73 spl18_272 <=> $less(0,abs(sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_272])])). 0.56/0.73 tff(f3702,plain,( 0.56/0.73 mod(0,abs(sK4)) = 0 | ~spl18_272), 0.56/0.73 inference(evaluation,[],[f3700])). 0.56/0.73 tff(f3700,plain,( 0.56/0.73 mod(0,abs(sK4)) = 0 | $less(0,0) | ~spl18_272), 0.56/0.73 inference(resolution,[],[f3602,f419])). 0.56/0.73 tff(f3602,plain,( 0.56/0.73 $less(0,abs(sK4)) | ~spl18_272), 0.56/0.73 inference(avatar_component_clause,[],[f3601])). 0.56/0.73 tff(f3711,plain,( 0.56/0.73 spl18_274 | ~spl18_272), 0.56/0.73 inference(avatar_split_clause,[],[f3703,f3601,f3709])). 0.56/0.73 tff(f3709,plain,( 0.56/0.73 spl18_274 <=> div(0,abs(sK4)) = 0), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_274])])). 0.56/0.73 tff(f3703,plain,( 0.56/0.73 div(0,abs(sK4)) = 0 | ~spl18_272), 0.56/0.73 inference(evaluation,[],[f3699])). 0.56/0.73 tff(f3699,plain,( 0.56/0.73 $less(0,0) | div(0,abs(sK4)) = 0 | ~spl18_272), 0.56/0.73 inference(resolution,[],[f3602,f423])). 0.56/0.73 tff(f3603,plain,( 0.56/0.73 spl18_146 | spl18_272 | ~spl18_266), 0.56/0.73 inference(avatar_split_clause,[],[f3597,f3467,f3601,f1643])). 0.56/0.73 tff(f1643,plain,( 0.56/0.73 spl18_146 <=> 0 = sK4), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_146])])). 0.56/0.73 tff(f3467,plain,( 0.56/0.73 spl18_266 <=> mod(0,sK4) = 0), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_266])])). 0.56/0.73 tff(f3597,plain,( 0.56/0.73 $less(0,abs(sK4)) | 0 = sK4 | ~spl18_266), 0.56/0.73 inference(superposition,[],[f407,f3468])). 0.56/0.73 tff(f3468,plain,( 0.56/0.73 mod(0,sK4) = 0 | ~spl18_266), 0.56/0.73 inference(avatar_component_clause,[],[f3467])). 0.56/0.73 tff(f407,plain,( 0.56/0.73 ( ! [X0:$int,X1:$int] : ($less(mod(X0,X1),abs(X1)) | 0 = X1) )), 0.56/0.73 inference(cnf_transformation,[],[f235])). 0.56/0.73 tff(f235,plain,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))) | 0 = X1)), 0.56/0.73 inference(ennf_transformation,[],[f56])). 0.56/0.73 tff(f56,axiom,( 0.56/0.73 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))))), 0.56/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound)). 0.56/0.73 tff(f3511,plain,( 0.56/0.73 spl18_268 | spl18_270 | spl18_9), 0.56/0.73 inference(avatar_split_clause,[],[f3497,f550,f3509,f3506])). 0.56/0.73 tff(f3506,plain,( 0.56/0.73 spl18_268 <=> abs(1) = -1), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_268])])). 0.56/0.73 tff(f3509,plain,( 0.56/0.73 spl18_270 <=> ! [X53 : uni,X52 : ty,X54 : uni] : occ1(X52,X53,X54,0,sK4) = $sum(occ1(X52,X53,X54,0,1),occ1(X52,X53,X54,1,sK4))), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_270])])). 0.56/0.73 tff(f550,plain,( 0.56/0.73 spl18_9 <=> ~$less(sK4,1)), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_9])])). 0.56/0.73 tff(f3497,plain,( 0.56/0.73 ( ! [X54:uni,X52:ty,X53:uni] : (occ1(X52,X53,X54,0,sK4) = $sum(occ1(X52,X53,X54,0,1),occ1(X52,X53,X54,1,sK4)) | abs(1) = -1) ) | ~spl18_9), 0.56/0.73 inference(evaluation,[],[f3482])). 0.56/0.73 tff(f3482,plain,( 0.56/0.73 ( ! [X54:uni,X52:ty,X53:uni] : (occ1(X52,X53,X54,0,sK4) = $sum(occ1(X52,X53,X54,0,1),occ1(X52,X53,X54,1,sK4)) | abs(1) = $uminus(1)) ) | ~spl18_9), 0.56/0.73 inference(resolution,[],[f2652,f383])). 0.56/0.73 tff(f383,plain,( 0.56/0.73 ( ! [X0:$int] : (~$less(X0,0) | abs(X0) = $uminus(X0)) )), 0.56/0.73 inference(cnf_transformation,[],[f228])). 0.56/0.73 tff(f2652,plain,( 0.56/0.73 ( ! [X249:uni,X246:$int,X248:uni,X247:ty] : ($less(1,X246) | occ1(X247,X248,X249,X246,sK4) = $sum(occ1(X247,X248,X249,X246,1),occ1(X247,X248,X249,1,sK4))) ) | ~spl18_9), 0.56/0.73 inference(resolution,[],[f506,f551])). 0.56/0.73 tff(f551,plain,( 0.56/0.73 ~$less(sK4,1) | ~spl18_9), 0.56/0.73 inference(avatar_component_clause,[],[f550])). 0.56/0.73 tff(f506,plain,( 0.56/0.73 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : ($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))) )), 0.56/0.73 inference(cnf_transformation,[],[f299])). 0.56/0.73 tff(f299,plain,( 0.56/0.73 ! [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(X4,X3) | $less(X5,X4))), 0.56/0.73 inference(flattening,[],[f298])). 0.56/0.73 tff(f298,plain,( 0.56/0.73 ! [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(X4,X3) | $less(X5,X4)))), 0.56/0.73 inference(ennf_transformation,[],[f221])). 0.56/0.73 tff(f221,plain,( 0.56/0.73 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : ((~$less(X4,X3) & ~$less(X5,X4)) => occ1(X0,X1,X2,X3,X5) = $sum(occ1(X0,X1,X2,X3,X4),occ1(X0,X1,X2,X4,X5)))), 0.56/0.73 inference(rectify,[],[f137])). 0.56/0.73 tff(f137,plain,( 0.56/0.73 ! [X2 : ty,X7 : uni,X3 : uni,X4 : $int,X30 : $int,X5 : $int] : ((~$less(X30,X4) & ~$less(X5,X30)) => occ1(X2,X7,X3,X4,X5) = $sum(occ1(X2,X7,X3,X4,X30),occ1(X2,X7,X3,X30,X5)))), 0.56/0.73 inference(evaluation,[],[f85])). 0.56/0.73 tff(f85,axiom,( 0.56/0.73 ! [X2 : ty,X7 : uni,X3 : uni,X4 : $int,X30 : $int,X5 : $int] : (($lesseq(X4,X30) & $lesseq(X30,X5)) => occ1(X2,X7,X3,X4,X5) = $sum(occ1(X2,X7,X3,X4,X30),occ1(X2,X7,X3,X30,X5)))), 0.56/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_append)). 0.56/0.73 tff(f3469,plain,( 0.56/0.73 spl18_266 | ~spl18_258), 0.56/0.73 inference(avatar_split_clause,[],[f3457,f3435,f3467])). 0.56/0.73 tff(f3457,plain,( 0.56/0.73 mod(0,sK4) = 0 | ~spl18_258), 0.56/0.73 inference(evaluation,[],[f3455])). 0.56/0.73 tff(f3455,plain,( 0.56/0.73 mod(0,sK4) = 0 | $less(0,0) | ~spl18_258), 0.56/0.73 inference(resolution,[],[f3436,f419])). 0.56/0.73 tff(f3465,plain,( 0.56/0.73 spl18_264 | ~spl18_258), 0.56/0.73 inference(avatar_split_clause,[],[f3458,f3435,f3463])). 0.56/0.73 tff(f3463,plain,( 0.56/0.73 spl18_264 <=> div(0,sK4) = 0), 0.56/0.73 introduced(avatar_definition,[new_symbols(naming,[spl18_264])])). 0.56/0.74 tff(f3458,plain,( 0.56/0.74 div(0,sK4) = 0 | ~spl18_258), 0.56/0.74 inference(evaluation,[],[f3454])). 0.56/0.74 tff(f3454,plain,( 0.56/0.74 $less(0,0) | div(0,sK4) = 0 | ~spl18_258), 0.56/0.74 inference(resolution,[],[f3436,f423])). 0.56/0.74 tff(f3447,plain,( 0.56/0.74 spl18_258 | spl18_262 | spl18_17 | ~spl18_144), 0.56/0.74 inference(avatar_split_clause,[],[f3443,f1559,f567,f3445,f3435])). 0.56/0.74 tff(f3445,plain,( 0.56/0.74 spl18_262 <=> ! [X110 : uni,X109 : ty,X111 : uni] : occ1(X109,X110,X111,$uminus(sK0),sK0) = $sum(occ1(X109,X110,X111,0,sK0),occ1(X109,X110,X111,$uminus(sK0),0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_262])])). 0.56/0.74 tff(f567,plain,( 0.56/0.74 spl18_17 <=> ~$less(sK0,0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_17])])). 0.56/0.74 tff(f1559,plain,( 0.56/0.74 spl18_144 <=> $less($uminus(sK0),sK4)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_144])])). 0.56/0.74 tff(f3443,plain,( 0.56/0.74 ( ! [X111:uni,X109:ty,X110:uni] : (occ1(X109,X110,X111,$uminus(sK0),sK0) = $sum(occ1(X109,X110,X111,0,sK0),occ1(X109,X110,X111,$uminus(sK0),0)) | $less(0,sK4)) ) | (~spl18_17 | ~spl18_144)), 0.56/0.74 inference(forward_demodulation,[],[f3411,f142])). 0.56/0.74 tff(f3411,plain,( 0.56/0.74 ( ! [X111:uni,X109:ty,X110:uni] : (occ1(X109,X110,X111,$uminus(sK0),sK0) = $sum(occ1(X109,X110,X111,$uminus(sK0),0),occ1(X109,X110,X111,0,sK0)) | $less(0,sK4)) ) | (~spl18_17 | ~spl18_144)), 0.56/0.74 inference(resolution,[],[f2649,f1581])). 0.56/0.74 tff(f1581,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(X0,$uminus(sK0)) | $less(X0,sK4)) ) | ~spl18_144), 0.56/0.74 inference(resolution,[],[f1560,f148])). 0.56/0.74 tff(f1560,plain,( 0.56/0.74 $less($uminus(sK0),sK4) | ~spl18_144), 0.56/0.74 inference(avatar_component_clause,[],[f1559])). 0.56/0.74 tff(f2649,plain,( 0.56/0.74 ( ! [X243:uni,X241:ty,X242:uni,X240:$int] : ($less(0,X240) | occ1(X241,X242,X243,X240,sK0) = $sum(occ1(X241,X242,X243,X240,0),occ1(X241,X242,X243,0,sK0))) ) | ~spl18_17), 0.56/0.74 inference(resolution,[],[f506,f568])). 0.56/0.74 tff(f568,plain,( 0.56/0.74 ~$less(sK0,0) | ~spl18_17), 0.56/0.74 inference(avatar_component_clause,[],[f567])). 0.56/0.74 tff(f3440,plain,( 0.56/0.74 spl18_258 | spl18_260 | spl18_17 | ~spl18_72), 0.56/0.74 inference(avatar_split_clause,[],[f3433,f903,f567,f3438,f3435])). 0.56/0.74 tff(f3438,plain,( 0.56/0.74 spl18_260 <=> ! [X96 : ty,X98 : uni,X97 : uni] : occ1(X96,X97,X98,1,sK0) = $sum(occ1(X96,X97,X98,0,sK0),occ1(X96,X97,X98,1,0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_260])])). 0.56/0.74 tff(f903,plain,( 0.56/0.74 spl18_72 <=> $less(1,sK4)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_72])])). 0.56/0.74 tff(f3433,plain,( 0.56/0.74 ( ! [X97:uni,X98:uni,X96:ty] : (occ1(X96,X97,X98,1,sK0) = $sum(occ1(X96,X97,X98,0,sK0),occ1(X96,X97,X98,1,0)) | $less(0,sK4)) ) | (~spl18_17 | ~spl18_72)), 0.56/0.74 inference(forward_demodulation,[],[f3407,f142])). 0.56/0.74 tff(f3407,plain,( 0.56/0.74 ( ! [X97:uni,X98:uni,X96:ty] : (occ1(X96,X97,X98,1,sK0) = $sum(occ1(X96,X97,X98,1,0),occ1(X96,X97,X98,0,sK0)) | $less(0,sK4)) ) | (~spl18_17 | ~spl18_72)), 0.56/0.74 inference(resolution,[],[f2649,f934])). 0.56/0.74 tff(f934,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(X0,1) | $less(X0,sK4)) ) | ~spl18_72), 0.56/0.74 inference(resolution,[],[f904,f148])). 0.56/0.74 tff(f904,plain,( 0.56/0.74 $less(1,sK4) | ~spl18_72), 0.56/0.74 inference(avatar_component_clause,[],[f903])). 0.56/0.74 tff(f3386,plain,( 0.56/0.74 spl18_256 | ~spl18_106), 0.56/0.74 inference(avatar_split_clause,[],[f3382,f1100,f3384])). 0.56/0.74 tff(f3384,plain,( 0.56/0.74 spl18_256 <=> abs(1) = abs($uminus(abs(1)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_256])])). 0.56/0.74 tff(f3382,plain,( 0.56/0.74 abs(1) = abs($uminus(abs(1))) | ~spl18_106), 0.56/0.74 inference(forward_demodulation,[],[f3370,f152])). 0.56/0.74 tff(f152,plain,( 0.56/0.74 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 0.56/0.74 introduced(theory_axiom,[])). 0.56/0.74 tff(f3370,plain,( 0.56/0.74 abs($uminus(abs(1))) = $uminus($uminus(abs(1))) | ~spl18_106), 0.56/0.74 inference(resolution,[],[f1101,f383])). 0.56/0.74 tff(f3381,plain,( 0.56/0.74 spl18_254 | ~spl18_36 | ~spl18_106), 0.56/0.74 inference(avatar_split_clause,[],[f3369,f1100,f896,f3379])). 0.56/0.74 tff(f3379,plain,( 0.56/0.74 spl18_254 <=> $less($uminus(abs(1)),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_254])])). 0.56/0.74 tff(f896,plain,( 0.56/0.74 spl18_36 <=> $less(0,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_36])])). 0.56/0.74 tff(f3369,plain,( 0.56/0.74 $less($uminus(abs(1)),sK0) | (~spl18_36 | ~spl18_106)), 0.56/0.74 inference(resolution,[],[f1101,f910])). 0.56/0.74 tff(f910,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(X0,0) | $less(X0,sK0)) ) | ~spl18_36), 0.56/0.74 inference(resolution,[],[f897,f148])). 0.56/0.74 tff(f897,plain,( 0.56/0.74 $less(0,sK0) | ~spl18_36), 0.56/0.74 inference(avatar_component_clause,[],[f896])). 0.56/0.74 tff(f3268,plain,( 0.56/0.74 spl18_252 | ~spl18_76), 0.56/0.74 inference(avatar_split_clause,[],[f3256,f923,f3266])). 0.56/0.74 tff(f3266,plain,( 0.56/0.74 spl18_252 <=> mod(0,abs(1)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_252])])). 0.56/0.74 tff(f923,plain,( 0.56/0.74 spl18_76 <=> $less(0,abs(1))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_76])])). 0.56/0.74 tff(f3256,plain,( 0.56/0.74 mod(0,abs(1)) = 0 | ~spl18_76), 0.56/0.74 inference(evaluation,[],[f3254])). 0.56/0.74 tff(f3254,plain,( 0.56/0.74 mod(0,abs(1)) = 0 | $less(0,0) | ~spl18_76), 0.56/0.74 inference(resolution,[],[f924,f419])). 0.56/0.74 tff(f924,plain,( 0.56/0.74 $less(0,abs(1)) | ~spl18_76), 0.56/0.74 inference(avatar_component_clause,[],[f923])). 0.56/0.74 tff(f3264,plain,( 0.56/0.74 spl18_250 | ~spl18_76), 0.56/0.74 inference(avatar_split_clause,[],[f3257,f923,f3262])). 0.56/0.74 tff(f3262,plain,( 0.56/0.74 spl18_250 <=> div(0,abs(1)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_250])])). 0.56/0.74 tff(f3257,plain,( 0.56/0.74 div(0,abs(1)) = 0 | ~spl18_76), 0.56/0.74 inference(evaluation,[],[f3253])). 0.56/0.74 tff(f3253,plain,( 0.56/0.74 $less(0,0) | div(0,abs(1)) = 0 | ~spl18_76), 0.56/0.74 inference(resolution,[],[f924,f423])). 0.56/0.74 tff(f3247,plain,( 0.56/0.74 spl18_248 | spl18_171), 0.56/0.74 inference(avatar_split_clause,[],[f3243,f1786,f3245])). 0.56/0.74 tff(f3245,plain,( 0.56/0.74 spl18_248 <=> $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$product(sK4,$sum(1,sK6))),$product(sK4,$sum(1,sK6)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_248])])). 0.56/0.74 tff(f1786,plain,( 0.56/0.74 spl18_171 <=> ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$product(sK4,$sum(1,sK6)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_171])])). 0.56/0.74 tff(f3243,plain,( 0.56/0.74 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$product(sK4,$sum(1,sK6))),$product(sK4,$sum(1,sK6))) | ~spl18_171), 0.56/0.74 inference(resolution,[],[f1787,f447])). 0.56/0.74 tff(f447,plain,( 0.56/0.74 ( ! [X2:$int,X0:array_elt2,X1:$int] : (sorted_sub3(X0,X1,X2) | $less(sK10(X0,X1,X2),X2)) )), 0.56/0.74 inference(cnf_transformation,[],[f327])). 0.56/0.74 tff(f327,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub3(X0,X1,X2)) & (sorted_sub3(X0,X1,X2) | (~le3(tb2t7(get2(elt5,t2tb8(X0),sK9(X0,X1,X2))),tb2t7(get2(elt5,t2tb8(X0),sK10(X0,X1,X2)))) & ~$less(sK9(X0,X1,X2),X1) & ~$less(sK10(X0,X1,X2),sK9(X0,X1,X2)) & $less(sK10(X0,X1,X2),X2))))), 0.56/0.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f325,f326])). 0.56/0.74 tff(f326,plain,( 0.56/0.74 ! [X2 : $int,X1 : $int,X0 : array_elt2] : (? [X5 : $int,X6 : $int] : (~le3(tb2t7(get2(elt5,t2tb8(X0),X5)),tb2t7(get2(elt5,t2tb8(X0),X6))) & ~$less(X5,X1) & ~$less(X6,X5) & $less(X6,X2)) => (~le3(tb2t7(get2(elt5,t2tb8(X0),sK9(X0,X1,X2))),tb2t7(get2(elt5,t2tb8(X0),sK10(X0,X1,X2)))) & ~$less(sK9(X0,X1,X2),X1) & ~$less(sK10(X0,X1,X2),sK9(X0,X1,X2)) & $less(sK10(X0,X1,X2),X2)))), 0.56/0.74 introduced(choice_axiom,[])). 0.56/0.74 tff(f325,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub3(X0,X1,X2)) & (sorted_sub3(X0,X1,X2) | ? [X5 : $int,X6 : $int] : (~le3(tb2t7(get2(elt5,t2tb8(X0),X5)),tb2t7(get2(elt5,t2tb8(X0),X6))) & ~$less(X5,X1) & ~$less(X6,X5) & $less(X6,X2))))), 0.56/0.74 inference(rectify,[],[f324])). 0.56/0.74 tff(f324,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : ((! [X3 : $int,X4 : $int] : (le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) | ~sorted_sub3(X0,X1,X2)) & (sorted_sub3(X0,X1,X2) | ? [X3 : $int,X4 : $int] : (~le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) & ~$less(X3,X1) & ~$less(X4,X3) & $less(X4,X2))))), 0.56/0.74 inference(nnf_transformation,[],[f270])). 0.56/0.74 tff(f270,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : (le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) | $less(X3,X1) | $less(X4,X3) | ~$less(X4,X2)) <=> sorted_sub3(X0,X1,X2))), 0.56/0.74 inference(flattening,[],[f269])). 0.56/0.74 tff(f269,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : (le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4))) | ($less(X3,X1) | $less(X4,X3) | ~$less(X4,X2))) <=> sorted_sub3(X0,X1,X2))), 0.56/0.74 inference(ennf_transformation,[],[f195])). 0.56/0.74 tff(f195,plain,( 0.56/0.74 ! [X0 : array_elt2,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : ((~$less(X3,X1) & ~$less(X4,X3) & $less(X4,X2)) => le3(tb2t7(get2(elt5,t2tb8(X0),X3)),tb2t7(get2(elt5,t2tb8(X0),X4)))) <=> sorted_sub3(X0,X1,X2))), 0.56/0.74 inference(rectify,[],[f124])). 0.56/0.74 tff(f124,plain,( 0.56/0.74 ! [X2 : array_elt2,X4 : $int,X5 : $int] : (! [X27 : $int,X28 : $int] : ((~$less(X27,X4) & ~$less(X28,X27) & $less(X28,X5)) => le3(tb2t7(get2(elt5,t2tb8(X2),X27)),tb2t7(get2(elt5,t2tb8(X2),X28)))) <=> sorted_sub3(X2,X4,X5))), 0.56/0.74 inference(evaluation,[],[f53])). 0.56/0.74 tff(f53,axiom,( 0.56/0.74 ! [X2 : array_elt2,X4 : $int,X5 : $int] : (! [X27 : $int,X28 : $int] : (($lesseq(X4,X27) & $lesseq(X27,X28) & $less(X28,X5)) => le3(tb2t7(get2(elt5,t2tb8(X2),X27)),tb2t7(get2(elt5,t2tb8(X2),X28)))) <=> sorted_sub3(X2,X4,X5))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_sub_def2)). 0.56/0.74 tff(f1787,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$product(sK4,$sum(1,sK6))) | ~spl18_171), 0.56/0.74 inference(avatar_component_clause,[],[f1786])). 0.56/0.74 tff(f3212,plain,( 0.56/0.74 spl18_68 | spl18_246 | ~spl18_30 | ~spl18_122), 0.56/0.74 inference(avatar_split_clause,[],[f3211,f1449,f644,f3206,f893])). 0.56/0.74 tff(f893,plain,( 0.56/0.74 spl18_68 <=> 0 = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_68])])). 0.56/0.74 tff(f3206,plain,( 0.56/0.74 spl18_246 <=> $less($uminus(sK0),$product(sK4,sK6))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_246])])). 0.56/0.74 tff(f644,plain,( 0.56/0.74 spl18_30 <=> abs(sK0) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_30])])). 0.56/0.74 tff(f1449,plain,( 0.56/0.74 spl18_122 <=> mod($product(sK4,sK6),sK0) = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_122])])). 0.56/0.74 tff(f3211,plain,( 0.56/0.74 $less($uminus(sK0),$product(sK4,sK6)) | 0 = sK0 | (~spl18_30 | ~spl18_122)), 0.56/0.74 inference(forward_demodulation,[],[f3203,f645])). 0.56/0.74 tff(f645,plain,( 0.56/0.74 abs(sK0) = sK0 | ~spl18_30), 0.56/0.74 inference(avatar_component_clause,[],[f644])). 0.56/0.74 tff(f3203,plain,( 0.56/0.74 $less($uminus(abs(sK0)),$product(sK4,sK6)) | 0 = sK0 | ~spl18_122), 0.56/0.74 inference(superposition,[],[f406,f1450])). 0.56/0.74 tff(f1450,plain,( 0.56/0.74 mod($product(sK4,sK6),sK0) = $product(sK4,sK6) | ~spl18_122), 0.56/0.74 inference(avatar_component_clause,[],[f1449])). 0.56/0.74 tff(f406,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less($uminus(abs(X1)),mod(X0,X1)) | 0 = X1) )), 0.56/0.74 inference(cnf_transformation,[],[f235])). 0.56/0.74 tff(f3208,plain,( 0.56/0.74 spl18_246 | ~spl18_102 | ~spl18_122), 0.56/0.74 inference(avatar_split_clause,[],[f3198,f1449,f1092,f3206])). 0.56/0.74 tff(f1092,plain,( 0.56/0.74 spl18_102 <=> ! [X0 : $int] : $less($uminus(sK0),mod(X0,sK0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_102])])). 0.56/0.74 tff(f3198,plain,( 0.56/0.74 $less($uminus(sK0),$product(sK4,sK6)) | (~spl18_102 | ~spl18_122)), 0.56/0.74 inference(superposition,[],[f1093,f1450])). 0.56/0.74 tff(f1093,plain,( 0.56/0.74 ( ! [X0:$int] : ($less($uminus(sK0),mod(X0,sK0))) ) | ~spl18_102), 0.56/0.74 inference(avatar_component_clause,[],[f1092])). 0.56/0.74 tff(f2760,plain,( 0.56/0.74 spl18_234 | ~spl18_236 | ~spl18_244), 0.56/0.74 inference(avatar_split_clause,[],[f2759,f2754,f2738,f2734])). 0.56/0.74 tff(f2754,plain,( 0.56/0.74 spl18_244 <=> min(abs(sK4),$uminus(abs(sK4))) = min($uminus(abs(sK4)),abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_244])])). 0.56/0.74 tff(f2759,plain,( 0.56/0.74 min(abs(sK4),$uminus(abs(sK4))) = $uminus(abs(sK4)) | (~spl18_236 | ~spl18_244)), 0.56/0.74 inference(backward_demodulation,[],[f2739,f2755])). 0.56/0.74 tff(f2755,plain,( 0.56/0.74 min(abs(sK4),$uminus(abs(sK4))) = min($uminus(abs(sK4)),abs(sK4)) | ~spl18_244), 0.56/0.74 inference(avatar_component_clause,[],[f2754])). 0.56/0.74 tff(f2758,plain,( 0.56/0.74 spl18_238 | ~spl18_240 | ~spl18_242), 0.56/0.74 inference(avatar_split_clause,[],[f2757,f2750,f2746,f2742])). 0.56/0.74 tff(f2750,plain,( 0.56/0.74 spl18_242 <=> max(abs(sK4),$uminus(abs(sK4))) = max($uminus(abs(sK4)),abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_242])])). 0.56/0.74 tff(f2757,plain,( 0.56/0.74 abs(sK4) = max($uminus(abs(sK4)),abs(sK4)) | (~spl18_240 | ~spl18_242)), 0.56/0.74 inference(backward_demodulation,[],[f2747,f2751])). 0.56/0.74 tff(f2751,plain,( 0.56/0.74 max(abs(sK4),$uminus(abs(sK4))) = max($uminus(abs(sK4)),abs(sK4)) | ~spl18_242), 0.56/0.74 inference(avatar_component_clause,[],[f2750])). 0.56/0.74 tff(f2756,plain,( 0.56/0.74 spl18_244 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2729,f2603,f2754])). 0.56/0.74 tff(f2729,plain,( 0.56/0.74 min(abs(sK4),$uminus(abs(sK4))) = min($uminus(abs(sK4)),abs(sK4)) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f414])). 0.56/0.74 tff(f414,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | min(X0,X1) = min(X1,X0)) )), 0.56/0.74 inference(cnf_transformation,[],[f242])). 0.56/0.74 tff(f242,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (min(X0,X1) = min(X1,X0) | $less(X0,X1))), 0.56/0.74 inference(ennf_transformation,[],[f112])). 0.56/0.74 tff(f112,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = min(X1,X0))), 0.56/0.74 inference(evaluation,[],[f31])). 0.56/0.74 tff(f31,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X1,X0) => min(X0,X1) = min(X1,X0))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_sym)). 0.56/0.74 tff(f2752,plain,( 0.56/0.74 spl18_242 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2728,f2603,f2750])). 0.56/0.74 tff(f2728,plain,( 0.56/0.74 max(abs(sK4),$uminus(abs(sK4))) = max($uminus(abs(sK4)),abs(sK4)) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f413])). 0.56/0.74 tff(f413,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | max(X0,X1) = max(X1,X0)) )), 0.56/0.74 inference(cnf_transformation,[],[f241])). 0.56/0.74 tff(f241,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (max(X0,X1) = max(X1,X0) | $less(X0,X1))), 0.56/0.74 inference(ennf_transformation,[],[f111])). 0.56/0.74 tff(f111,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = max(X1,X0))), 0.56/0.74 inference(evaluation,[],[f57])). 0.56/0.74 tff(f57,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X1,X0) => max(X0,X1) = max(X1,X0))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_sym)). 0.56/0.74 tff(f2748,plain,( 0.56/0.74 spl18_240 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2727,f2603,f2746])). 0.56/0.74 tff(f2727,plain,( 0.56/0.74 abs(sK4) = max(abs(sK4),$uminus(abs(sK4))) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f412])). 0.56/0.74 tff(f412,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | max(X0,X1) = X0) )), 0.56/0.74 inference(cnf_transformation,[],[f240])). 0.56/0.74 tff(f240,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 0.56/0.74 inference(ennf_transformation,[],[f110])). 0.56/0.74 tff(f110,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = X0)), 0.56/0.74 inference(evaluation,[],[f37])). 0.56/0.74 tff(f37,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X1,X0) => max(X0,X1) = X0)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_x)). 0.56/0.74 tff(f2744,plain,( 0.56/0.74 spl18_238 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2726,f2603,f2742])). 0.56/0.74 tff(f2726,plain,( 0.56/0.74 abs(sK4) = max($uminus(abs(sK4)),abs(sK4)) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f411])). 0.56/0.74 tff(f411,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | max(X0,X1) = X1) )), 0.56/0.74 inference(cnf_transformation,[],[f239])). 0.56/0.74 tff(f239,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 0.56/0.74 inference(ennf_transformation,[],[f109])). 0.56/0.74 tff(f109,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => max(X0,X1) = X1)), 0.56/0.74 inference(evaluation,[],[f69])). 0.56/0.74 tff(f69,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => max(X0,X1) = X1)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_y)). 0.56/0.74 tff(f2740,plain,( 0.56/0.74 spl18_236 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2725,f2603,f2738])). 0.56/0.74 tff(f2725,plain,( 0.56/0.74 min($uminus(abs(sK4)),abs(sK4)) = $uminus(abs(sK4)) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f410])). 0.56/0.74 tff(f410,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | min(X0,X1) = X0) )), 0.56/0.74 inference(cnf_transformation,[],[f238])). 0.56/0.74 tff(f238,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X0 | $less(X1,X0))), 0.56/0.74 inference(ennf_transformation,[],[f108])). 0.56/0.74 tff(f108,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => min(X0,X1) = X0)), 0.56/0.74 inference(evaluation,[],[f8])). 0.56/0.74 tff(f8,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => min(X0,X1) = X0)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_x)). 0.56/0.74 tff(f2736,plain,( 0.56/0.74 spl18_234 | spl18_233), 0.56/0.74 inference(avatar_split_clause,[],[f2724,f2603,f2734])). 0.56/0.74 tff(f2724,plain,( 0.56/0.74 min(abs(sK4),$uminus(abs(sK4))) = $uminus(abs(sK4)) | ~spl18_233), 0.56/0.74 inference(resolution,[],[f2604,f409])). 0.56/0.74 tff(f409,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | min(X0,X1) = X1) )), 0.56/0.74 inference(cnf_transformation,[],[f237])). 0.56/0.74 tff(f237,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X1 | $less(X0,X1))), 0.56/0.74 inference(ennf_transformation,[],[f107])). 0.56/0.74 tff(f107,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = X1)), 0.56/0.74 inference(evaluation,[],[f66])). 0.56/0.74 tff(f66,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X1,X0) => min(X0,X1) = X1)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_y)). 0.56/0.74 tff(f2605,plain,( 0.56/0.74 ~spl18_233 | ~spl18_206), 0.56/0.74 inference(avatar_split_clause,[],[f2593,f2011,f2603])). 0.56/0.74 tff(f2593,plain,( 0.56/0.74 ~$less(abs(sK4),$uminus(abs(sK4))) | ~spl18_206), 0.56/0.74 inference(superposition,[],[f649,f2012])). 0.56/0.74 tff(f649,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(abs(X0),X0)) )), 0.56/0.74 inference(resolution,[],[f425,f147])). 0.56/0.74 tff(f425,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X1,abs(X0)) | ~$less(X1,X0)) )), 0.56/0.74 inference(cnf_transformation,[],[f319])). 0.56/0.74 tff(f319,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))))), 0.56/0.74 inference(flattening,[],[f318])). 0.56/0.74 tff(f318,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | ($less(X1,X0) | $less(X0,$uminus(X1)))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))))), 0.56/0.74 inference(nnf_transformation,[],[f120])). 0.56/0.74 tff(f120,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(X1,abs(X0)) <=> (~$less(X1,X0) & ~$less(X0,$uminus(X1))))), 0.56/0.74 inference(evaluation,[],[f4])). 0.56/0.74 tff(f4,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(abs(X0),X1) <=> ($lesseq(X0,X1) & $lesseq($uminus(X1),X0)))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le)). 0.56/0.74 tff(f2601,plain,( 0.56/0.74 spl18_184 | spl18_230 | ~spl18_206), 0.56/0.74 inference(avatar_split_clause,[],[f2589,f2011,f2599,f1878])). 0.56/0.74 tff(f1878,plain,( 0.56/0.74 spl18_184 <=> 0 = $uminus(abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_184])])). 0.56/0.74 tff(f2599,plain,( 0.56/0.74 spl18_230 <=> ! [X1 : $int] : $less(mod(X1,$uminus(abs(sK4))),abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_230])])). 0.56/0.74 tff(f2589,plain,( 0.56/0.74 ( ! [X1:$int] : ($less(mod(X1,$uminus(abs(sK4))),abs(sK4)) | 0 = $uminus(abs(sK4))) ) | ~spl18_206), 0.56/0.74 inference(superposition,[],[f407,f2012])). 0.56/0.74 tff(f2597,plain,( 0.56/0.74 spl18_184 | spl18_228 | ~spl18_206), 0.56/0.74 inference(avatar_split_clause,[],[f2588,f2011,f2595,f1878])). 0.56/0.74 tff(f2595,plain,( 0.56/0.74 spl18_228 <=> ! [X0 : $int] : $less($uminus(abs(sK4)),mod(X0,$uminus(abs(sK4))))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_228])])). 0.56/0.74 tff(f2588,plain,( 0.56/0.74 ( ! [X0:$int] : ($less($uminus(abs(sK4)),mod(X0,$uminus(abs(sK4)))) | 0 = $uminus(abs(sK4))) ) | ~spl18_206), 0.56/0.74 inference(superposition,[],[f406,f2012])). 0.56/0.74 tff(f2414,plain,( 0.56/0.74 spl18_216 | ~spl18_218 | ~spl18_226), 0.56/0.74 inference(avatar_split_clause,[],[f2413,f2408,f2392,f2388])). 0.56/0.74 tff(f2388,plain,( 0.56/0.74 spl18_216 <=> min(abs(sK4),1) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_216])])). 0.56/0.74 tff(f2392,plain,( 0.56/0.74 spl18_218 <=> min(1,abs(sK4)) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_218])])). 0.56/0.74 tff(f2408,plain,( 0.56/0.74 spl18_226 <=> min(abs(sK4),1) = min(1,abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_226])])). 0.56/0.74 tff(f2413,plain,( 0.56/0.74 min(abs(sK4),1) = 1 | (~spl18_218 | ~spl18_226)), 0.56/0.74 inference(backward_demodulation,[],[f2393,f2409])). 0.56/0.74 tff(f2409,plain,( 0.56/0.74 min(abs(sK4),1) = min(1,abs(sK4)) | ~spl18_226), 0.56/0.74 inference(avatar_component_clause,[],[f2408])). 0.56/0.74 tff(f2393,plain,( 0.56/0.74 min(1,abs(sK4)) = 1 | ~spl18_218), 0.56/0.74 inference(avatar_component_clause,[],[f2392])). 0.56/0.74 tff(f2412,plain,( 0.56/0.74 spl18_220 | ~spl18_222 | ~spl18_224), 0.56/0.74 inference(avatar_split_clause,[],[f2411,f2404,f2400,f2396])). 0.56/0.74 tff(f2396,plain,( 0.56/0.74 spl18_220 <=> abs(sK4) = max(1,abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_220])])). 0.56/0.74 tff(f2400,plain,( 0.56/0.74 spl18_222 <=> abs(sK4) = max(abs(sK4),1)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_222])])). 0.56/0.74 tff(f2404,plain,( 0.56/0.74 spl18_224 <=> max(abs(sK4),1) = max(1,abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_224])])). 0.56/0.74 tff(f2411,plain,( 0.56/0.74 abs(sK4) = max(1,abs(sK4)) | (~spl18_222 | ~spl18_224)), 0.56/0.74 inference(backward_demodulation,[],[f2401,f2405])). 0.56/0.74 tff(f2405,plain,( 0.56/0.74 max(abs(sK4),1) = max(1,abs(sK4)) | ~spl18_224), 0.56/0.74 inference(avatar_component_clause,[],[f2404])). 0.56/0.74 tff(f2401,plain,( 0.56/0.74 abs(sK4) = max(abs(sK4),1) | ~spl18_222), 0.56/0.74 inference(avatar_component_clause,[],[f2400])). 0.56/0.74 tff(f2410,plain,( 0.56/0.74 spl18_226 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2385,f2341,f2408])). 0.56/0.74 tff(f2341,plain,( 0.56/0.74 spl18_215 <=> ~$less(abs(sK4),1)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_215])])). 0.56/0.74 tff(f2385,plain,( 0.56/0.74 min(abs(sK4),1) = min(1,abs(sK4)) | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f414])). 0.56/0.74 tff(f2342,plain,( 0.56/0.74 ~$less(abs(sK4),1) | ~spl18_215), 0.56/0.74 inference(avatar_component_clause,[],[f2341])). 0.56/0.74 tff(f2406,plain,( 0.56/0.74 spl18_224 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2384,f2341,f2404])). 0.56/0.74 tff(f2384,plain,( 0.56/0.74 max(abs(sK4),1) = max(1,abs(sK4)) | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f413])). 0.56/0.74 tff(f2402,plain,( 0.56/0.74 spl18_222 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2383,f2341,f2400])). 0.56/0.74 tff(f2383,plain,( 0.56/0.74 abs(sK4) = max(abs(sK4),1) | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f412])). 0.56/0.74 tff(f2398,plain,( 0.56/0.74 spl18_220 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2382,f2341,f2396])). 0.56/0.74 tff(f2382,plain,( 0.56/0.74 abs(sK4) = max(1,abs(sK4)) | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f411])). 0.56/0.74 tff(f2394,plain,( 0.56/0.74 spl18_218 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2381,f2341,f2392])). 0.56/0.74 tff(f2381,plain,( 0.56/0.74 min(1,abs(sK4)) = 1 | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f410])). 0.56/0.74 tff(f2390,plain,( 0.56/0.74 spl18_216 | spl18_215), 0.56/0.74 inference(avatar_split_clause,[],[f2380,f2341,f2388])). 0.56/0.74 tff(f2380,plain,( 0.56/0.74 min(abs(sK4),1) = 1 | ~spl18_215), 0.56/0.74 inference(resolution,[],[f2342,f409])). 0.56/0.74 tff(f2345,plain,( 0.56/0.74 ~spl18_215 | ~spl18_150), 0.56/0.74 inference(avatar_split_clause,[],[f2344,f1650,f2341])). 0.56/0.74 tff(f1650,plain,( 0.56/0.74 spl18_150 <=> $less(1,abs(sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_150])])). 0.56/0.74 tff(f2344,plain,( 0.56/0.74 ~$less(abs(sK4),1) | ~spl18_150), 0.56/0.74 inference(forward_demodulation,[],[f2331,f629])). 0.56/0.74 tff(f629,plain,( 0.56/0.74 ( ! [X0:$int] : (abs(X0) = abs(abs(X0))) )), 0.56/0.74 inference(resolution,[],[f384,f369])). 0.56/0.74 tff(f369,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(abs(X0),0)) )), 0.56/0.74 inference(cnf_transformation,[],[f101])). 0.56/0.74 tff(f101,plain,( 0.56/0.74 ! [X0 : $int] : ~$less(abs(X0),0)), 0.56/0.74 inference(evaluation,[],[f98])). 0.56/0.74 tff(f98,axiom,( 0.56/0.74 ! [X0 : $int] : $lesseq(0,abs(X0))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos)). 0.56/0.74 tff(f2331,plain,( 0.56/0.74 ~$less(abs(abs(sK4)),1) | ~spl18_150), 0.56/0.74 inference(resolution,[],[f1656,f649])). 0.56/0.74 tff(f1656,plain,( 0.56/0.74 ( ! [X0:$int] : ($less(X0,abs(sK4)) | ~$less(X0,1)) ) | ~spl18_150), 0.56/0.74 inference(resolution,[],[f1651,f148])). 0.56/0.74 tff(f1651,plain,( 0.56/0.74 $less(1,abs(sK4)) | ~spl18_150), 0.56/0.74 inference(avatar_component_clause,[],[f1650])). 0.56/0.74 tff(f2343,plain,( 0.56/0.74 ~spl18_215 | ~spl18_150), 0.56/0.74 inference(avatar_split_clause,[],[f2327,f1650,f2341])). 0.56/0.74 tff(f2327,plain,( 0.56/0.74 ~$less(abs(sK4),1) | ~spl18_150), 0.56/0.74 inference(resolution,[],[f1656,f147])). 0.56/0.74 tff(f2224,plain,( 0.56/0.74 spl18_212 | ~spl18_208), 0.56/0.74 inference(avatar_split_clause,[],[f2220,f2183,f2222])). 0.56/0.74 tff(f2222,plain,( 0.56/0.74 spl18_212 <=> abs($uminus($product(sK4,sK6))) = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_212])])). 0.56/0.74 tff(f2220,plain,( 0.56/0.74 abs($uminus($product(sK4,sK6))) = $product(sK4,sK6) | ~spl18_208), 0.56/0.74 inference(forward_demodulation,[],[f2212,f152])). 0.56/0.74 tff(f2212,plain,( 0.56/0.74 abs($uminus($product(sK4,sK6))) = $uminus($uminus($product(sK4,sK6))) | ~spl18_208), 0.56/0.74 inference(resolution,[],[f2184,f383])). 0.56/0.74 tff(f2219,plain,( 0.56/0.74 spl18_210 | ~spl18_36 | ~spl18_208), 0.56/0.74 inference(avatar_split_clause,[],[f2211,f2183,f896,f2217])). 0.56/0.74 tff(f2217,plain,( 0.56/0.74 spl18_210 <=> $less($uminus($product(sK4,sK6)),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_210])])). 0.56/0.74 tff(f2211,plain,( 0.56/0.74 $less($uminus($product(sK4,sK6)),sK0) | (~spl18_36 | ~spl18_208)), 0.56/0.74 inference(resolution,[],[f2184,f910])). 0.56/0.74 tff(f2185,plain,( 0.56/0.74 spl18_64 | spl18_208 | ~spl18_28 | ~spl18_116), 0.56/0.74 inference(avatar_split_clause,[],[f2181,f1436,f640,f2183,f886])). 0.56/0.74 tff(f886,plain,( 0.56/0.74 spl18_64 <=> 0 = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_64])])). 0.56/0.74 tff(f640,plain,( 0.56/0.74 spl18_28 <=> abs($product(sK4,sK6)) = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_28])])). 0.56/0.74 tff(f1436,plain,( 0.56/0.74 spl18_116 <=> mod(0,$product(sK4,sK6)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_116])])). 0.56/0.74 tff(f2181,plain,( 0.56/0.74 $less($uminus($product(sK4,sK6)),0) | 0 = $product(sK4,sK6) | (~spl18_28 | ~spl18_116)), 0.56/0.74 inference(forward_demodulation,[],[f2175,f641])). 0.56/0.74 tff(f641,plain,( 0.56/0.74 abs($product(sK4,sK6)) = $product(sK4,sK6) | ~spl18_28), 0.56/0.74 inference(avatar_component_clause,[],[f640])). 0.56/0.74 tff(f2175,plain,( 0.56/0.74 $less($uminus(abs($product(sK4,sK6))),0) | 0 = $product(sK4,sK6) | ~spl18_116), 0.56/0.74 inference(superposition,[],[f406,f1437])). 0.56/0.74 tff(f1437,plain,( 0.56/0.74 mod(0,$product(sK4,sK6)) = 0 | ~spl18_116), 0.56/0.74 inference(avatar_component_clause,[],[f1436])). 0.56/0.74 tff(f2013,plain,( 0.56/0.74 spl18_206 | ~spl18_182), 0.56/0.74 inference(avatar_split_clause,[],[f2009,f1875,f2011])). 0.56/0.74 tff(f2009,plain,( 0.56/0.74 abs(sK4) = abs($uminus(abs(sK4))) | ~spl18_182), 0.56/0.74 inference(forward_demodulation,[],[f2005,f152])). 0.56/0.74 tff(f2005,plain,( 0.56/0.74 abs($uminus(abs(sK4))) = $uminus($uminus(abs(sK4))) | ~spl18_182), 0.56/0.74 inference(resolution,[],[f1876,f383])). 0.56/0.74 tff(f1978,plain,( 0.56/0.74 spl18_194 | ~spl18_196 | ~spl18_204), 0.56/0.74 inference(avatar_split_clause,[],[f1977,f1972,f1956,f1952])). 0.56/0.74 tff(f1952,plain,( 0.56/0.74 spl18_194 <=> min(sK0,$uminus(sK0)) = $uminus(sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_194])])). 0.56/0.74 tff(f1956,plain,( 0.56/0.74 spl18_196 <=> min($uminus(sK0),sK0) = $uminus(sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_196])])). 0.56/0.74 tff(f1972,plain,( 0.56/0.74 spl18_204 <=> min($uminus(sK0),sK0) = min(sK0,$uminus(sK0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_204])])). 0.56/0.74 tff(f1977,plain,( 0.56/0.74 min(sK0,$uminus(sK0)) = $uminus(sK0) | (~spl18_196 | ~spl18_204)), 0.56/0.74 inference(backward_demodulation,[],[f1957,f1973])). 0.56/0.74 tff(f1973,plain,( 0.56/0.74 min($uminus(sK0),sK0) = min(sK0,$uminus(sK0)) | ~spl18_204), 0.56/0.74 inference(avatar_component_clause,[],[f1972])). 0.56/0.74 tff(f1957,plain,( 0.56/0.74 min($uminus(sK0),sK0) = $uminus(sK0) | ~spl18_196), 0.56/0.74 inference(avatar_component_clause,[],[f1956])). 0.56/0.74 tff(f1976,plain,( 0.56/0.74 spl18_198 | ~spl18_200 | ~spl18_202), 0.56/0.74 inference(avatar_split_clause,[],[f1975,f1968,f1964,f1960])). 0.56/0.74 tff(f1960,plain,( 0.56/0.74 spl18_198 <=> max($uminus(sK0),sK0) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_198])])). 0.56/0.74 tff(f1964,plain,( 0.56/0.74 spl18_200 <=> max(sK0,$uminus(sK0)) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_200])])). 0.56/0.74 tff(f1968,plain,( 0.56/0.74 spl18_202 <=> max($uminus(sK0),sK0) = max(sK0,$uminus(sK0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_202])])). 0.56/0.74 tff(f1975,plain,( 0.56/0.74 max($uminus(sK0),sK0) = sK0 | (~spl18_200 | ~spl18_202)), 0.56/0.74 inference(backward_demodulation,[],[f1965,f1969])). 0.56/0.74 tff(f1969,plain,( 0.56/0.74 max($uminus(sK0),sK0) = max(sK0,$uminus(sK0)) | ~spl18_202), 0.56/0.74 inference(avatar_component_clause,[],[f1968])). 0.56/0.74 tff(f1965,plain,( 0.56/0.74 max(sK0,$uminus(sK0)) = sK0 | ~spl18_200), 0.56/0.74 inference(avatar_component_clause,[],[f1964])). 0.56/0.74 tff(f1974,plain,( 0.56/0.74 spl18_204 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1949,f1912,f1972])). 0.56/0.74 tff(f1912,plain,( 0.56/0.74 spl18_193 <=> ~$less(sK0,$uminus(sK0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_193])])). 0.56/0.74 tff(f1949,plain,( 0.56/0.74 min($uminus(sK0),sK0) = min(sK0,$uminus(sK0)) | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f414])). 0.56/0.74 tff(f1913,plain,( 0.56/0.74 ~$less(sK0,$uminus(sK0)) | ~spl18_193), 0.56/0.74 inference(avatar_component_clause,[],[f1912])). 0.56/0.74 tff(f1970,plain,( 0.56/0.74 spl18_202 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1948,f1912,f1968])). 0.56/0.74 tff(f1948,plain,( 0.56/0.74 max($uminus(sK0),sK0) = max(sK0,$uminus(sK0)) | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f413])). 0.56/0.74 tff(f1966,plain,( 0.56/0.74 spl18_200 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1947,f1912,f1964])). 0.56/0.74 tff(f1947,plain,( 0.56/0.74 max(sK0,$uminus(sK0)) = sK0 | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f412])). 0.56/0.74 tff(f1962,plain,( 0.56/0.74 spl18_198 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1946,f1912,f1960])). 0.56/0.74 tff(f1946,plain,( 0.56/0.74 max($uminus(sK0),sK0) = sK0 | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f411])). 0.56/0.74 tff(f1958,plain,( 0.56/0.74 spl18_196 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1945,f1912,f1956])). 0.56/0.74 tff(f1945,plain,( 0.56/0.74 min($uminus(sK0),sK0) = $uminus(sK0) | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f410])). 0.56/0.74 tff(f1954,plain,( 0.56/0.74 spl18_194 | spl18_193), 0.56/0.74 inference(avatar_split_clause,[],[f1944,f1912,f1952])). 0.56/0.74 tff(f1944,plain,( 0.56/0.74 min(sK0,$uminus(sK0)) = $uminus(sK0) | ~spl18_193), 0.56/0.74 inference(resolution,[],[f1913,f409])). 0.56/0.74 tff(f1914,plain,( 0.56/0.74 ~spl18_193 | ~spl18_130), 0.56/0.74 inference(avatar_split_clause,[],[f1899,f1470,f1912])). 0.56/0.74 tff(f1470,plain,( 0.56/0.74 spl18_130 <=> abs($uminus(sK0)) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_130])])). 0.56/0.74 tff(f1899,plain,( 0.56/0.74 ~$less(sK0,$uminus(sK0)) | ~spl18_130), 0.56/0.74 inference(superposition,[],[f649,f1471])). 0.56/0.74 tff(f1471,plain,( 0.56/0.74 abs($uminus(sK0)) = sK0 | ~spl18_130), 0.56/0.74 inference(avatar_component_clause,[],[f1470])). 0.56/0.74 tff(f1910,plain,( 0.56/0.74 spl18_186 | spl18_190 | ~spl18_130), 0.56/0.74 inference(avatar_split_clause,[],[f1895,f1470,f1908,f1901])). 0.56/0.74 tff(f1901,plain,( 0.56/0.74 spl18_186 <=> 0 = $uminus(sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_186])])). 0.56/0.74 tff(f1908,plain,( 0.56/0.74 spl18_190 <=> ! [X1 : $int] : $less(mod(X1,$uminus(sK0)),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_190])])). 0.56/0.74 tff(f1895,plain,( 0.56/0.74 ( ! [X1:$int] : ($less(mod(X1,$uminus(sK0)),sK0) | 0 = $uminus(sK0)) ) | ~spl18_130), 0.56/0.74 inference(superposition,[],[f407,f1471])). 0.56/0.74 tff(f1906,plain,( 0.56/0.74 spl18_186 | spl18_188 | ~spl18_130), 0.56/0.74 inference(avatar_split_clause,[],[f1894,f1470,f1904,f1901])). 0.56/0.74 tff(f1904,plain,( 0.56/0.74 spl18_188 <=> ! [X0 : $int] : $less($uminus(sK0),mod(X0,$uminus(sK0)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_188])])). 0.56/0.74 tff(f1894,plain,( 0.56/0.74 ( ! [X0:$int] : ($less($uminus(sK0),mod(X0,$uminus(sK0))) | 0 = $uminus(sK0)) ) | ~spl18_130), 0.56/0.74 inference(superposition,[],[f406,f1471])). 0.56/0.74 tff(f1882,plain,( 0.56/0.74 spl18_182 | spl18_184 | ~spl18_148), 0.56/0.74 inference(avatar_split_clause,[],[f1881,f1646,f1878,f1875])). 0.56/0.74 tff(f1881,plain,( 0.56/0.74 0 = $uminus(abs(sK4)) | $less($uminus(abs(sK4)),0) | ~spl18_148), 0.56/0.74 inference(forward_demodulation,[],[f1863,f380])). 0.56/0.74 tff(f380,plain,( 0.56/0.74 ( ! [X0:$int] : (mod(X0,1) = 0) )), 0.56/0.74 inference(cnf_transformation,[],[f63])). 0.56/0.74 tff(f63,axiom,( 0.56/0.74 ! [X0 : $int] : mod(X0,1) = 0), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_1)). 0.56/0.74 tff(f1863,plain,( 0.56/0.74 mod($uminus(abs(sK4)),1) = $uminus(abs(sK4)) | $less($uminus(abs(sK4)),0) | ~spl18_148), 0.56/0.74 inference(resolution,[],[f1647,f419])). 0.56/0.74 tff(f1880,plain,( 0.56/0.74 spl18_182 | spl18_184 | ~spl18_148), 0.56/0.74 inference(avatar_split_clause,[],[f1873,f1646,f1878,f1875])). 0.56/0.74 tff(f1873,plain,( 0.56/0.74 0 = $uminus(abs(sK4)) | $less($uminus(abs(sK4)),0) | ~spl18_148), 0.56/0.74 inference(forward_demodulation,[],[f1862,f375])). 0.56/0.74 tff(f375,plain,( 0.56/0.74 ( ! [X0:$int] : (div(X0,1) = X0) )), 0.56/0.74 inference(cnf_transformation,[],[f45])). 0.56/0.74 tff(f45,axiom,( 0.56/0.74 ! [X0 : $int] : div(X0,1) = X0), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_1)). 0.56/0.74 tff(f1862,plain,( 0.56/0.74 $less($uminus(abs(sK4)),0) | div($uminus(abs(sK4)),1) = 0 | ~spl18_148), 0.56/0.74 inference(resolution,[],[f1647,f423])). 0.56/0.74 tff(f1872,plain,( 0.56/0.74 spl18_180 | ~spl18_72 | ~spl18_148), 0.56/0.74 inference(avatar_split_clause,[],[f1861,f1646,f903,f1870])). 0.56/0.74 tff(f1861,plain,( 0.56/0.74 $less($uminus(abs(sK4)),sK4) | (~spl18_72 | ~spl18_148)), 0.56/0.74 inference(resolution,[],[f1647,f934])). 0.56/0.74 tff(f1868,plain,( 0.56/0.74 spl18_178 | ~spl18_82 | ~spl18_148), 0.56/0.74 inference(avatar_split_clause,[],[f1860,f1646,f988,f1866])). 0.56/0.74 tff(f988,plain,( 0.56/0.74 spl18_82 <=> $less(1,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_82])])). 0.56/0.74 tff(f1860,plain,( 0.56/0.74 $less($uminus(abs(sK4)),sK0) | (~spl18_82 | ~spl18_148)), 0.56/0.74 inference(resolution,[],[f1647,f1006])). 0.56/0.74 tff(f1006,plain,( 0.56/0.74 ( ! [X0:$int] : (~$less(X0,1) | $less(X0,sK0)) ) | ~spl18_82), 0.56/0.74 inference(resolution,[],[f989,f148])). 0.56/0.74 tff(f989,plain,( 0.56/0.74 $less(1,sK0) | ~spl18_82), 0.56/0.74 inference(avatar_component_clause,[],[f988])). 0.56/0.74 tff(f1855,plain,( 0.56/0.74 spl18_174 | spl18_176 | ~spl18_66), 0.56/0.74 inference(avatar_split_clause,[],[f1821,f889,f1853,f1850])). 0.56/0.74 tff(f1850,plain,( 0.56/0.74 spl18_174 <=> ! [X0 : $int] : ($less(X0,sK4) | ~$less($product(X0,sK6),0))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_174])])). 0.56/0.74 tff(f1853,plain,( 0.56/0.74 spl18_176 <=> $less(sK6,0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_176])])). 0.56/0.74 tff(f889,plain,( 0.56/0.74 spl18_66 <=> $less(0,$product(sK4,sK6))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_66])])). 0.56/0.74 tff(f1821,plain,( 0.56/0.74 ( ! [X0:$int] : ($less(sK6,0) | $less(X0,sK4) | ~$less($product(X0,sK6),0)) ) | ~spl18_66), 0.56/0.74 inference(resolution,[],[f437,f942])). 0.56/0.74 tff(f942,plain,( 0.56/0.74 ( ! [X0:$int] : ($less(X0,$product(sK4,sK6)) | ~$less(X0,0)) ) | ~spl18_66), 0.56/0.74 inference(resolution,[],[f890,f148])). 0.56/0.74 tff(f890,plain,( 0.56/0.74 $less(0,$product(sK4,sK6)) | ~spl18_66), 0.56/0.74 inference(avatar_component_clause,[],[f889])). 0.56/0.74 tff(f437,plain,( 0.56/0.74 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 0.56/0.74 inference(cnf_transformation,[],[f263])). 0.56/0.74 tff(f263,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 0.56/0.74 inference(flattening,[],[f262])). 0.56/0.74 tff(f262,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 0.56/0.74 inference(ennf_transformation,[],[f189])). 0.56/0.74 tff(f189,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 0.56/0.74 inference(rectify,[],[f121])). 0.56/0.74 tff(f121,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int,X15 : $int] : (~$less(X1,X0) => (~$less(X15,0) => ~$less($product(X1,X15),$product(X0,X15))))), 0.56/0.74 inference(evaluation,[],[f50])). 0.56/0.74 tff(f50,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int,X15 : $int] : ($lesseq(X0,X1) => ($lesseq(0,X15) => $lesseq($product(X0,X15),$product(X1,X15))))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 0.56/0.74 tff(f1792,plain,( 0.56/0.74 ~spl18_173 | spl18_1), 0.56/0.74 inference(avatar_split_clause,[],[f1779,f532,f1790])). 0.56/0.74 tff(f532,plain,( 0.56/0.74 spl18_1 <=> ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6))))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_1])])). 0.56/0.74 tff(f1779,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))) | ~spl18_1), 0.56/0.74 inference(backward_demodulation,[],[f1756,f533])). 0.56/0.74 tff(f533,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6)))) | ~spl18_1), 0.56/0.74 inference(avatar_component_clause,[],[f532])). 0.56/0.74 tff(f1788,plain,( 0.56/0.74 ~spl18_171 | spl18_91), 0.56/0.74 inference(avatar_split_clause,[],[f1778,f1063,f1786])). 0.56/0.74 tff(f1063,plain,( 0.56/0.74 spl18_91 <=> ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$sum(sK4,$product(sK4,sK6)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_91])])). 0.56/0.74 tff(f1778,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$product(sK4,$sum(1,sK6))) | ~spl18_91), 0.56/0.74 inference(backward_demodulation,[],[f1756,f1064])). 0.56/0.74 tff(f1064,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$sum(sK4,$product(sK4,sK6))) | ~spl18_91), 0.56/0.74 inference(avatar_component_clause,[],[f1063])). 0.56/0.74 tff(f1784,plain,( 0.56/0.74 spl18_168 | ~spl18_108), 0.56/0.74 inference(avatar_split_clause,[],[f1777,f1233,f1782])). 0.56/0.74 tff(f1233,plain,( 0.56/0.74 spl18_108 <=> $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6)))),min(sK0,$sum(sK4,$product(sK4,sK6))))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_108])])). 0.56/0.74 tff(f1777,plain,( 0.56/0.74 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$product(sK4,$sum(1,sK6)))),min(sK0,$product(sK4,$sum(1,sK6)))) | ~spl18_108), 0.56/0.74 inference(backward_demodulation,[],[f1756,f1234])). 0.56/0.74 tff(f1234,plain,( 0.56/0.74 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6)))),min(sK0,$sum(sK4,$product(sK4,sK6)))) | ~spl18_108), 0.56/0.74 inference(avatar_component_clause,[],[f1233])). 0.56/0.74 tff(f1725,plain,( 0.56/0.74 spl18_68 | spl18_166 | ~spl18_30 | ~spl18_120), 0.56/0.74 inference(avatar_split_clause,[],[f1724,f1444,f644,f1721,f893])). 0.56/0.74 tff(f1721,plain,( 0.56/0.74 spl18_166 <=> $less($uminus(sK0),1)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_166])])). 0.56/0.74 tff(f1444,plain,( 0.56/0.74 spl18_120 <=> mod(1,sK0) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_120])])). 0.56/0.74 tff(f1724,plain,( 0.56/0.74 $less($uminus(sK0),1) | 0 = sK0 | (~spl18_30 | ~spl18_120)), 0.56/0.74 inference(forward_demodulation,[],[f1718,f645])). 0.56/0.74 tff(f1718,plain,( 0.56/0.74 $less($uminus(abs(sK0)),1) | 0 = sK0 | ~spl18_120), 0.56/0.74 inference(superposition,[],[f406,f1445])). 0.56/0.74 tff(f1445,plain,( 0.56/0.74 mod(1,sK0) = 1 | ~spl18_120), 0.56/0.74 inference(avatar_component_clause,[],[f1444])). 0.56/0.74 tff(f1723,plain,( 0.56/0.74 spl18_166 | ~spl18_102 | ~spl18_120), 0.56/0.74 inference(avatar_split_clause,[],[f1714,f1444,f1092,f1721])). 0.56/0.74 tff(f1714,plain,( 0.56/0.74 $less($uminus(sK0),1) | (~spl18_102 | ~spl18_120)), 0.56/0.74 inference(superposition,[],[f1093,f1445])). 0.56/0.74 tff(f1712,plain,( 0.56/0.74 spl18_158 | ~spl18_160 | ~spl18_164), 0.56/0.74 inference(avatar_split_clause,[],[f1711,f1708,f1698,f1694])). 0.56/0.74 tff(f1694,plain,( 0.56/0.74 spl18_158 <=> min(sK0,sK4) = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_158])])). 0.56/0.74 tff(f1698,plain,( 0.56/0.74 spl18_160 <=> min(sK4,sK0) = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_160])])). 0.56/0.74 tff(f1708,plain,( 0.56/0.74 spl18_164 <=> min(sK0,sK4) = min(sK4,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_164])])). 0.56/0.74 tff(f1711,plain,( 0.56/0.74 min(sK0,sK4) = sK4 | (~spl18_160 | ~spl18_164)), 0.56/0.74 inference(backward_demodulation,[],[f1699,f1709])). 0.56/0.74 tff(f1709,plain,( 0.56/0.74 min(sK0,sK4) = min(sK4,sK0) | ~spl18_164), 0.56/0.74 inference(avatar_component_clause,[],[f1708])). 0.56/0.74 tff(f1699,plain,( 0.56/0.74 min(sK4,sK0) = sK4 | ~spl18_160), 0.56/0.74 inference(avatar_component_clause,[],[f1698])). 0.56/0.74 tff(f1710,plain,( 0.56/0.74 spl18_164 | spl18_157), 0.56/0.74 inference(avatar_split_clause,[],[f1691,f1679,f1708])). 0.56/0.74 tff(f1679,plain,( 0.56/0.74 spl18_157 <=> ~$less(sK0,sK4)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_157])])). 0.56/0.74 tff(f1691,plain,( 0.56/0.74 min(sK0,sK4) = min(sK4,sK0) | ~spl18_157), 0.56/0.74 inference(resolution,[],[f1680,f414])). 0.56/0.74 tff(f1680,plain,( 0.56/0.74 ~$less(sK0,sK4) | ~spl18_157), 0.56/0.74 inference(avatar_component_clause,[],[f1679])). 0.56/0.74 tff(f1706,plain,( 0.56/0.74 spl18_162 | ~spl18_110 | spl18_157), 0.56/0.74 inference(avatar_split_clause,[],[f1705,f1679,f1394,f1702])). 0.56/0.74 tff(f1702,plain,( 0.56/0.74 spl18_162 <=> max(sK4,sK0) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_162])])). 0.56/0.74 tff(f1394,plain,( 0.56/0.74 spl18_110 <=> max(sK0,sK4) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_110])])). 0.56/0.74 tff(f1705,plain,( 0.56/0.74 max(sK4,sK0) = sK0 | (~spl18_110 | ~spl18_157)), 0.56/0.74 inference(forward_demodulation,[],[f1690,f1395])). 0.56/0.74 tff(f1395,plain,( 0.56/0.74 max(sK0,sK4) = sK0 | ~spl18_110), 0.56/0.74 inference(avatar_component_clause,[],[f1394])). 0.56/0.74 tff(f1690,plain,( 0.56/0.74 max(sK0,sK4) = max(sK4,sK0) | ~spl18_157), 0.56/0.74 inference(resolution,[],[f1680,f413])). 0.56/0.74 tff(f1704,plain,( 0.56/0.74 spl18_162 | spl18_157), 0.56/0.74 inference(avatar_split_clause,[],[f1688,f1679,f1702])). 0.56/0.74 tff(f1688,plain,( 0.56/0.74 max(sK4,sK0) = sK0 | ~spl18_157), 0.56/0.74 inference(resolution,[],[f1680,f411])). 0.56/0.74 tff(f1700,plain,( 0.56/0.74 spl18_160 | spl18_157), 0.56/0.74 inference(avatar_split_clause,[],[f1687,f1679,f1698])). 0.56/0.74 tff(f1687,plain,( 0.56/0.74 min(sK4,sK0) = sK4 | ~spl18_157), 0.56/0.74 inference(resolution,[],[f1680,f410])). 0.56/0.74 tff(f1696,plain,( 0.56/0.74 spl18_158 | spl18_157), 0.56/0.74 inference(avatar_split_clause,[],[f1686,f1679,f1694])). 0.56/0.74 tff(f1686,plain,( 0.56/0.74 min(sK0,sK4) = sK4 | ~spl18_157), 0.56/0.74 inference(resolution,[],[f1680,f409])). 0.56/0.74 tff(f1681,plain,( 0.56/0.74 ~spl18_157 | ~spl18_110), 0.56/0.74 inference(avatar_split_clause,[],[f1677,f1394,f1679])). 0.56/0.74 tff(f1677,plain,( 0.56/0.74 ~$less(sK0,sK4) | ~spl18_110), 0.56/0.74 inference(superposition,[],[f397,f1395])). 0.56/0.74 tff(f397,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X1)) )), 0.56/0.74 inference(cnf_transformation,[],[f104])). 0.56/0.74 tff(f104,plain,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0) & ~$less(max(X0,X1),X1))), 0.56/0.74 inference(evaluation,[],[f79])). 0.56/0.74 tff(f79,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : ($lesseq(X0,max(X0,X1)) & $lesseq(X1,max(X0,X1)))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ge)). 0.56/0.74 tff(f1667,plain,( 0.56/0.74 spl18_154 | ~spl18_150), 0.56/0.74 inference(avatar_split_clause,[],[f1657,f1650,f1665])). 0.56/0.74 tff(f1665,plain,( 0.56/0.74 spl18_154 <=> mod(1,abs(sK4)) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_154])])). 0.56/0.74 tff(f1657,plain,( 0.56/0.74 mod(1,abs(sK4)) = 1 | ~spl18_150), 0.56/0.74 inference(evaluation,[],[f1655])). 0.56/0.74 tff(f1655,plain,( 0.56/0.74 mod(1,abs(sK4)) = 1 | $less(1,0) | ~spl18_150), 0.56/0.74 inference(resolution,[],[f1651,f419])). 0.56/0.74 tff(f1663,plain,( 0.56/0.74 spl18_152 | ~spl18_150), 0.56/0.74 inference(avatar_split_clause,[],[f1658,f1650,f1661])). 0.56/0.74 tff(f1661,plain,( 0.56/0.74 spl18_152 <=> div(1,abs(sK4)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_152])])). 0.56/0.74 tff(f1658,plain,( 0.56/0.74 div(1,abs(sK4)) = 0 | ~spl18_150), 0.56/0.74 inference(evaluation,[],[f1654])). 0.56/0.74 tff(f1654,plain,( 0.56/0.74 $less(1,0) | div(1,abs(sK4)) = 0 | ~spl18_150), 0.56/0.74 inference(resolution,[],[f1651,f423])). 0.56/0.74 tff(f1652,plain,( 0.56/0.74 spl18_146 | spl18_150 | ~spl18_126), 0.56/0.74 inference(avatar_split_clause,[],[f1641,f1457,f1650,f1643])). 0.56/0.74 tff(f1457,plain,( 0.56/0.74 spl18_126 <=> mod(1,sK4) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_126])])). 0.56/0.74 tff(f1641,plain,( 0.56/0.74 $less(1,abs(sK4)) | 0 = sK4 | ~spl18_126), 0.56/0.74 inference(superposition,[],[f407,f1458])). 0.56/0.74 tff(f1458,plain,( 0.56/0.74 mod(1,sK4) = 1 | ~spl18_126), 0.56/0.74 inference(avatar_component_clause,[],[f1457])). 0.56/0.74 tff(f1648,plain,( 0.56/0.74 spl18_146 | spl18_148 | ~spl18_126), 0.56/0.74 inference(avatar_split_clause,[],[f1640,f1457,f1646,f1643])). 0.56/0.74 tff(f1640,plain,( 0.56/0.74 $less($uminus(abs(sK4)),1) | 0 = sK4 | ~spl18_126), 0.56/0.74 inference(superposition,[],[f406,f1458])). 0.56/0.74 tff(f1563,plain,( 0.56/0.74 spl18_68 | spl18_144 | ~spl18_30 | ~spl18_124), 0.56/0.74 inference(avatar_split_clause,[],[f1562,f1453,f644,f1559,f893])). 0.56/0.74 tff(f1453,plain,( 0.56/0.74 spl18_124 <=> mod(sK4,sK0) = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_124])])). 0.56/0.74 tff(f1562,plain,( 0.56/0.74 $less($uminus(sK0),sK4) | 0 = sK0 | (~spl18_30 | ~spl18_124)), 0.56/0.74 inference(forward_demodulation,[],[f1556,f645])). 0.56/0.74 tff(f1556,plain,( 0.56/0.74 $less($uminus(abs(sK0)),sK4) | 0 = sK0 | ~spl18_124), 0.56/0.74 inference(superposition,[],[f406,f1454])). 0.56/0.74 tff(f1454,plain,( 0.56/0.74 mod(sK4,sK0) = sK4 | ~spl18_124), 0.56/0.74 inference(avatar_component_clause,[],[f1453])). 0.56/0.74 tff(f1561,plain,( 0.56/0.74 spl18_144 | ~spl18_102 | ~spl18_124), 0.56/0.74 inference(avatar_split_clause,[],[f1552,f1453,f1092,f1559])). 0.56/0.74 tff(f1552,plain,( 0.56/0.74 $less($uminus(sK0),sK4) | (~spl18_102 | ~spl18_124)), 0.56/0.74 inference(superposition,[],[f1093,f1454])). 0.56/0.74 tff(f1551,plain,( 0.56/0.74 spl18_142 | ~spl18_72), 0.56/0.74 inference(avatar_split_clause,[],[f1523,f903,f1549])). 0.56/0.74 tff(f1549,plain,( 0.56/0.74 spl18_142 <=> div(1,sK4) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_142])])). 0.56/0.74 tff(f1523,plain,( 0.56/0.74 div(1,sK4) = 0 | ~spl18_72), 0.56/0.74 inference(evaluation,[],[f1522])). 0.56/0.74 tff(f1522,plain,( 0.56/0.74 $less(1,0) | div(1,sK4) = 0 | ~spl18_72), 0.56/0.74 inference(resolution,[],[f423,f904])). 0.56/0.74 tff(f1547,plain,( 0.56/0.74 spl18_140 | spl18_20 | ~spl18_6), 0.56/0.74 inference(avatar_split_clause,[],[f1521,f546,f585,f1545])). 0.56/0.74 tff(f1545,plain,( 0.56/0.74 spl18_140 <=> div(sK4,sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_140])])). 0.56/0.74 tff(f546,plain,( 0.56/0.74 spl18_6 <=> $less(sK4,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_6])])). 0.56/0.74 tff(f1521,plain,( 0.56/0.74 $less(sK4,0) | div(sK4,sK0) = 0 | ~spl18_6), 0.56/0.74 inference(resolution,[],[f423,f547])). 0.56/0.74 tff(f547,plain,( 0.56/0.74 $less(sK4,sK0) | ~spl18_6), 0.56/0.74 inference(avatar_component_clause,[],[f546])). 0.56/0.74 tff(f1543,plain,( 0.56/0.74 spl18_138 | ~spl18_2), 0.56/0.74 inference(avatar_split_clause,[],[f1539,f537,f1541])). 0.56/0.74 tff(f1541,plain,( 0.56/0.74 spl18_138 <=> div($product(sK4,sK6),sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_138])])). 0.56/0.74 tff(f537,plain,( 0.56/0.74 spl18_2 <=> $less($product(sK4,sK6),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_2])])). 0.56/0.74 tff(f1539,plain,( 0.56/0.74 div($product(sK4,sK6),sK0) = 0 | ~spl18_2), 0.56/0.74 inference(global_subsumption,[],[f540,f1520])). 0.56/0.74 tff(f1520,plain,( 0.56/0.74 $less($product(sK4,sK6),0) | div($product(sK4,sK6),sK0) = 0 | ~spl18_2), 0.56/0.74 inference(resolution,[],[f423,f538])). 0.56/0.74 tff(f538,plain,( 0.56/0.74 $less($product(sK4,sK6),sK0) | ~spl18_2), 0.56/0.74 inference(avatar_component_clause,[],[f537])). 0.56/0.74 tff(f1538,plain,( 0.56/0.74 spl18_136 | ~spl18_82), 0.56/0.74 inference(avatar_split_clause,[],[f1524,f988,f1536])). 0.56/0.74 tff(f1536,plain,( 0.56/0.74 spl18_136 <=> div(1,sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_136])])). 0.56/0.74 tff(f1524,plain,( 0.56/0.74 div(1,sK0) = 0 | ~spl18_82), 0.56/0.74 inference(evaluation,[],[f1518])). 0.56/0.74 tff(f1518,plain,( 0.56/0.74 $less(1,0) | div(1,sK0) = 0 | ~spl18_82), 0.56/0.74 inference(resolution,[],[f423,f989])). 0.56/0.74 tff(f1534,plain,( 0.56/0.74 spl18_134 | ~spl18_36), 0.56/0.74 inference(avatar_split_clause,[],[f1525,f896,f1532])). 0.56/0.74 tff(f1532,plain,( 0.56/0.74 spl18_134 <=> div(0,sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_134])])). 0.56/0.74 tff(f1525,plain,( 0.56/0.74 div(0,sK0) = 0 | ~spl18_36), 0.56/0.74 inference(evaluation,[],[f1517])). 0.56/0.74 tff(f1517,plain,( 0.56/0.74 $less(0,0) | div(0,sK0) = 0 | ~spl18_36), 0.56/0.74 inference(resolution,[],[f423,f897])). 0.56/0.74 tff(f1530,plain,( 0.56/0.74 spl18_132 | ~spl18_66), 0.56/0.74 inference(avatar_split_clause,[],[f1526,f889,f1528])). 0.56/0.74 tff(f1528,plain,( 0.56/0.74 spl18_132 <=> div(0,$product(sK4,sK6)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_132])])). 0.56/0.74 tff(f1526,plain,( 0.56/0.74 div(0,$product(sK4,sK6)) = 0 | ~spl18_66), 0.56/0.74 inference(evaluation,[],[f1510])). 0.56/0.74 tff(f1510,plain,( 0.56/0.74 $less(0,0) | div(0,$product(sK4,sK6)) = 0 | ~spl18_66), 0.56/0.74 inference(resolution,[],[f423,f890])). 0.56/0.74 tff(f1472,plain,( 0.56/0.74 spl18_130 | ~spl18_112), 0.56/0.74 inference(avatar_split_clause,[],[f1468,f1429,f1470])). 0.56/0.74 tff(f1429,plain,( 0.56/0.74 spl18_112 <=> $less($uminus(sK0),0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_112])])). 0.56/0.74 tff(f1468,plain,( 0.56/0.74 abs($uminus(sK0)) = sK0 | ~spl18_112), 0.56/0.74 inference(forward_demodulation,[],[f1461,f152])). 0.56/0.74 tff(f1461,plain,( 0.56/0.74 abs($uminus(sK0)) = $uminus($uminus(sK0)) | ~spl18_112), 0.56/0.74 inference(resolution,[],[f1430,f383])). 0.56/0.74 tff(f1430,plain,( 0.56/0.74 $less($uminus(sK0),0) | ~spl18_112), 0.56/0.74 inference(avatar_component_clause,[],[f1429])). 0.56/0.74 tff(f1467,plain,( 0.56/0.74 spl18_128 | ~spl18_36 | ~spl18_112), 0.56/0.74 inference(avatar_split_clause,[],[f1460,f1429,f896,f1465])). 0.56/0.74 tff(f1465,plain,( 0.56/0.74 spl18_128 <=> $less($uminus(sK0),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_128])])). 0.56/0.74 tff(f1460,plain,( 0.56/0.74 $less($uminus(sK0),sK0) | (~spl18_36 | ~spl18_112)), 0.56/0.74 inference(resolution,[],[f1430,f910])). 0.56/0.74 tff(f1459,plain,( 0.56/0.74 spl18_126 | ~spl18_72), 0.56/0.74 inference(avatar_split_clause,[],[f1424,f903,f1457])). 0.56/0.74 tff(f1424,plain,( 0.56/0.74 mod(1,sK4) = 1 | ~spl18_72), 0.56/0.74 inference(evaluation,[],[f1423])). 0.56/0.74 tff(f1423,plain,( 0.56/0.74 mod(1,sK4) = 1 | $less(1,0) | ~spl18_72), 0.56/0.74 inference(resolution,[],[f419,f904])). 0.56/0.74 tff(f1455,plain,( 0.56/0.74 spl18_20 | spl18_124 | ~spl18_6), 0.56/0.74 inference(avatar_split_clause,[],[f1422,f546,f1453,f585])). 0.56/0.74 tff(f1422,plain,( 0.56/0.74 mod(sK4,sK0) = sK4 | $less(sK4,0) | ~spl18_6), 0.56/0.74 inference(resolution,[],[f419,f547])). 0.56/0.74 tff(f1451,plain,( 0.56/0.74 spl18_122 | ~spl18_2), 0.56/0.74 inference(avatar_split_clause,[],[f1447,f537,f1449])). 0.56/0.74 tff(f1447,plain,( 0.56/0.74 mod($product(sK4,sK6),sK0) = $product(sK4,sK6) | ~spl18_2), 0.56/0.74 inference(global_subsumption,[],[f540,f1421])). 0.56/0.74 tff(f1421,plain,( 0.56/0.74 mod($product(sK4,sK6),sK0) = $product(sK4,sK6) | $less($product(sK4,sK6),0) | ~spl18_2), 0.56/0.74 inference(resolution,[],[f419,f538])). 0.56/0.74 tff(f1446,plain,( 0.56/0.74 spl18_120 | ~spl18_82), 0.56/0.74 inference(avatar_split_clause,[],[f1425,f988,f1444])). 0.56/0.74 tff(f1425,plain,( 0.56/0.74 mod(1,sK0) = 1 | ~spl18_82), 0.56/0.74 inference(evaluation,[],[f1420])). 0.56/0.74 tff(f1420,plain,( 0.56/0.74 mod(1,sK0) = 1 | $less(1,0) | ~spl18_82), 0.56/0.74 inference(resolution,[],[f419,f989])). 0.56/0.74 tff(f1442,plain,( 0.56/0.74 spl18_118 | ~spl18_36), 0.56/0.74 inference(avatar_split_clause,[],[f1426,f896,f1440])). 0.56/0.74 tff(f1440,plain,( 0.56/0.74 spl18_118 <=> mod(0,sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_118])])). 0.56/0.74 tff(f1426,plain,( 0.56/0.74 mod(0,sK0) = 0 | ~spl18_36), 0.56/0.74 inference(evaluation,[],[f1419])). 0.56/0.74 tff(f1419,plain,( 0.56/0.74 mod(0,sK0) = 0 | $less(0,0) | ~spl18_36), 0.56/0.74 inference(resolution,[],[f419,f897])). 0.56/0.74 tff(f1438,plain,( 0.56/0.74 spl18_116 | ~spl18_66), 0.56/0.74 inference(avatar_split_clause,[],[f1427,f889,f1436])). 0.56/0.74 tff(f1427,plain,( 0.56/0.74 mod(0,$product(sK4,sK6)) = 0 | ~spl18_66), 0.56/0.74 inference(evaluation,[],[f1412])). 0.56/0.74 tff(f1412,plain,( 0.56/0.74 mod(0,$product(sK4,sK6)) = 0 | $less(0,0) | ~spl18_66), 0.56/0.74 inference(resolution,[],[f419,f890])). 0.56/0.74 tff(f1434,plain,( 0.56/0.74 spl18_112 | spl18_114 | ~spl18_102), 0.56/0.74 inference(avatar_split_clause,[],[f1410,f1092,f1432,f1429])). 0.56/0.74 tff(f1432,plain,( 0.56/0.74 spl18_114 <=> ! [X22 : $int] : mod($uminus(sK0),mod(X22,sK0)) = $uminus(sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_114])])). 0.56/0.74 tff(f1410,plain,( 0.56/0.74 ( ! [X22:$int] : (mod($uminus(sK0),mod(X22,sK0)) = $uminus(sK0) | $less($uminus(sK0),0)) ) | ~spl18_102), 0.56/0.74 inference(resolution,[],[f419,f1093])). 0.56/0.74 tff(f1398,plain,( 0.56/0.74 spl18_110 | ~spl18_6 | ~spl18_30), 0.56/0.74 inference(avatar_split_clause,[],[f1397,f644,f546,f1394])). 0.56/0.74 tff(f1397,plain,( 0.56/0.74 max(sK0,sK4) = sK0 | (~spl18_6 | ~spl18_30)), 0.56/0.74 inference(forward_demodulation,[],[f1389,f645])). 0.56/0.74 tff(f1389,plain,( 0.56/0.74 abs(sK0) = max(abs(sK0),sK4) | ~spl18_6), 0.56/0.74 inference(resolution,[],[f983,f649])). 0.56/0.74 tff(f983,plain,( 0.56/0.74 ( ! [X2:$int] : ($less(X2,sK0) | max(X2,sK4) = X2) ) | ~spl18_6), 0.56/0.74 inference(resolution,[],[f846,f412])). 0.56/0.74 tff(f846,plain,( 0.56/0.74 ( ! [X20:$int] : (~$less(X20,sK4) | $less(X20,sK0)) ) | ~spl18_6), 0.56/0.74 inference(resolution,[],[f148,f547])). 0.56/0.74 tff(f1396,plain,( 0.56/0.74 spl18_110 | ~spl18_6), 0.56/0.74 inference(avatar_split_clause,[],[f1387,f546,f1394])). 0.56/0.74 tff(f1387,plain,( 0.56/0.74 max(sK0,sK4) = sK0 | ~spl18_6), 0.56/0.74 inference(resolution,[],[f983,f147])). 0.56/0.74 tff(f1235,plain,( 0.56/0.74 spl18_108 | spl18_1), 0.56/0.74 inference(avatar_split_clause,[],[f1231,f532,f1233])). 0.56/0.74 tff(f1231,plain,( 0.56/0.74 $less(sK10(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6)))),min(sK0,$sum(sK4,$product(sK4,sK6)))) | ~spl18_1), 0.56/0.74 inference(resolution,[],[f447,f533])). 0.56/0.74 tff(f1102,plain,( 0.56/0.74 spl18_106), 0.56/0.74 inference(avatar_split_clause,[],[f1090,f1100])). 0.56/0.74 tff(f1090,plain,( 0.56/0.74 $less($uminus(abs(1)),0)), 0.56/0.74 inference(evaluation,[],[f1089])). 0.56/0.74 tff(f1089,plain,( 0.56/0.74 $less($uminus(abs(1)),0) | 0 = 1), 0.56/0.74 inference(superposition,[],[f406,f380])). 0.56/0.74 tff(f1098,plain,( 0.56/0.74 spl18_64 | spl18_104 | ~spl18_28), 0.56/0.74 inference(avatar_split_clause,[],[f1087,f640,f1096,f886])). 0.56/0.74 tff(f1096,plain,( 0.56/0.74 spl18_104 <=> ! [X1 : $int] : $less($uminus($product(sK4,sK6)),mod(X1,$product(sK4,sK6)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_104])])). 0.56/0.74 tff(f1087,plain,( 0.56/0.74 ( ! [X1:$int] : ($less($uminus($product(sK4,sK6)),mod(X1,$product(sK4,sK6))) | 0 = $product(sK4,sK6)) ) | ~spl18_28), 0.56/0.74 inference(superposition,[],[f406,f641])). 0.56/0.74 tff(f1094,plain,( 0.56/0.74 spl18_68 | spl18_102 | ~spl18_30), 0.56/0.74 inference(avatar_split_clause,[],[f1086,f644,f1092,f893])). 0.56/0.74 tff(f1086,plain,( 0.56/0.74 ( ! [X0:$int] : ($less($uminus(sK0),mod(X0,sK0)) | 0 = sK0) ) | ~spl18_30), 0.56/0.74 inference(superposition,[],[f406,f645])). 0.56/0.74 tff(f1084,plain,( 0.56/0.74 spl18_100 | ~spl18_32 | ~spl18_92), 0.56/0.74 inference(avatar_split_clause,[],[f1080,f1067,f671,f1082])). 0.56/0.74 tff(f1082,plain,( 0.56/0.74 spl18_100 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_100])])). 0.56/0.74 tff(f671,plain,( 0.56/0.74 spl18_32 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_32])])). 0.56/0.74 tff(f1067,plain,( 0.56/0.74 spl18_92 <=> min(sK0,$sum(sK4,sK4)) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_92])])). 0.56/0.74 tff(f1080,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,sK0) | (~spl18_32 | ~spl18_92)), 0.56/0.74 inference(backward_demodulation,[],[f1068,f672])). 0.56/0.74 tff(f672,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4))) | ~spl18_32), 0.56/0.74 inference(avatar_component_clause,[],[f671])). 0.56/0.74 tff(f1068,plain,( 0.56/0.74 min(sK0,$sum(sK4,sK4)) = sK0 | ~spl18_92), 0.56/0.74 inference(avatar_component_clause,[],[f1067])). 0.56/0.74 tff(f1079,plain,( 0.56/0.74 spl18_96 | spl18_98 | ~spl18_34), 0.56/0.74 inference(avatar_split_clause,[],[f1056,f699,f1077,f1074])). 0.56/0.74 tff(f1074,plain,( 0.56/0.74 spl18_96 <=> min(sK0,sK4) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_96])])). 0.56/0.74 tff(f1077,plain,( 0.56/0.74 spl18_98 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,sK4)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_98])])). 0.56/0.74 tff(f699,plain,( 0.56/0.74 spl18_34 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_34])])). 0.56/0.74 tff(f1056,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,sK4) | min(sK0,sK4) = sK0 | ~spl18_34), 0.56/0.74 inference(superposition,[],[f700,f403])). 0.56/0.74 tff(f403,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : (min(X0,X1) = X0 | min(X0,X1) = X1) )), 0.56/0.74 inference(cnf_transformation,[],[f59])). 0.56/0.74 tff(f59,axiom,( 0.56/0.74 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X0 | min(X0,X1) = X1)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_is_some)). 0.56/0.74 tff(f700,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4)) | ~spl18_34), 0.56/0.74 inference(avatar_component_clause,[],[f699])). 0.56/0.74 tff(f1072,plain,( 0.56/0.74 spl18_92 | spl18_94 | ~spl18_32), 0.56/0.74 inference(avatar_split_clause,[],[f1055,f671,f1070,f1067])). 0.56/0.74 tff(f1070,plain,( 0.56/0.74 spl18_94 <=> sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,$sum(sK4,sK4))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_94])])). 0.56/0.74 tff(f1055,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,$sum(sK4,sK4)) | min(sK0,$sum(sK4,sK4)) = sK0 | ~spl18_32), 0.56/0.74 inference(superposition,[],[f672,f403])). 0.56/0.74 tff(f1065,plain,( 0.56/0.74 spl18_88 | ~spl18_91 | spl18_1), 0.56/0.74 inference(avatar_split_clause,[],[f1053,f532,f1063,f1060])). 0.56/0.74 tff(f1060,plain,( 0.56/0.74 spl18_88 <=> min(sK0,$sum(sK4,$product(sK4,sK6))) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_88])])). 0.56/0.74 tff(f1053,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),$sum(sK4,$product(sK4,sK6))) | min(sK0,$sum(sK4,$product(sK4,sK6))) = sK0 | ~spl18_1), 0.56/0.74 inference(superposition,[],[f533,f403])). 0.56/0.74 tff(f1011,plain,( 0.56/0.74 spl18_86 | ~spl18_14 | ~spl18_82), 0.56/0.74 inference(avatar_split_clause,[],[f1007,f988,f563,f1009])). 0.56/0.74 tff(f1009,plain,( 0.56/0.74 spl18_86 <=> tb2t7(get(elt5,int,t2tb9(sK1),t2tb(1))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(1)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_86])])). 0.56/0.74 tff(f563,plain,( 0.56/0.74 spl18_14 <=> sK0 = sK2), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_14])])). 0.56/0.74 tff(f1007,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb(1))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(1))) | (~spl18_14 | ~spl18_82)), 0.56/0.74 inference(evaluation,[],[f1005])). 0.56/0.74 tff(f1005,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb(1))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(1))) | $less(1,0) | (~spl18_14 | ~spl18_82)), 0.56/0.74 inference(resolution,[],[f989,f575])). 0.56/0.74 tff(f575,plain,( 0.56/0.74 ( ! [X8:$int] : (~$less(X8,sK0) | tb2t7(get(elt5,int,t2tb9(sK1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(X8))) | $less(X8,0)) ) | ~spl18_14), 0.56/0.74 inference(backward_demodulation,[],[f564,f357])). 0.56/0.74 tff(f357,plain,( 0.56/0.74 ( ! [X8:$int] : (tb2t7(get(elt5,int,t2tb9(sK1),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(X8))) | ~$less(X8,sK2) | $less(X8,0)) )), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f564,plain,( 0.56/0.74 sK0 = sK2 | ~spl18_14), 0.56/0.74 inference(avatar_component_clause,[],[f563])). 0.56/0.74 tff(f1002,plain,( 0.56/0.74 spl18_84), 0.56/0.74 inference(avatar_split_clause,[],[f994,f1000])). 0.56/0.74 tff(f1000,plain,( 0.56/0.74 spl18_84 <=> witness1(map(int,elt5)) = t2tb9(tb2t9(witness1(map(int,elt5))))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_84])])). 0.56/0.74 tff(f994,plain,( 0.56/0.74 witness1(map(int,elt5)) = t2tb9(tb2t9(witness1(map(int,elt5))))), 0.56/0.74 inference(resolution,[],[f387,f370])). 0.56/0.74 tff(f370,plain,( 0.56/0.74 ( ! [X0:ty] : (sort1(X0,witness1(X0))) )), 0.56/0.74 inference(cnf_transformation,[],[f162])). 0.56/0.74 tff(f162,plain,( 0.56/0.74 ! [X0 : ty] : sort1(X0,witness1(X0))), 0.56/0.74 inference(rectify,[],[f94])). 0.56/0.74 tff(f94,axiom,( 0.56/0.74 ! [X2 : ty] : sort1(X2,witness1(X2))), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort1)). 0.56/0.74 tff(f387,plain,( 0.56/0.74 ( ! [X0:uni] : (~sort1(map(int,elt5),X0) | t2tb9(tb2t9(X0)) = X0) )), 0.56/0.74 inference(cnf_transformation,[],[f230])). 0.56/0.74 tff(f230,plain,( 0.56/0.74 ! [X0 : uni] : (t2tb9(tb2t9(X0)) = X0 | ~sort1(map(int,elt5),X0))), 0.56/0.74 inference(ennf_transformation,[],[f171])). 0.56/0.74 tff(f171,plain,( 0.56/0.74 ! [X0 : uni] : (sort1(map(int,elt5),X0) => t2tb9(tb2t9(X0)) = X0)), 0.56/0.74 inference(rectify,[],[f73])). 0.56/0.74 tff(f73,axiom,( 0.56/0.74 ! [X24 : uni] : (sort1(map(int,elt5),X24) => t2tb9(tb2t9(X24)) = X24)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR9)). 0.56/0.74 tff(f990,plain,( 0.56/0.74 spl18_82 | ~spl18_6 | ~spl18_72), 0.56/0.74 inference(avatar_split_clause,[],[f980,f903,f546,f988])). 0.56/0.74 tff(f980,plain,( 0.56/0.74 $less(1,sK0) | (~spl18_6 | ~spl18_72)), 0.56/0.74 inference(resolution,[],[f846,f904])). 0.56/0.74 tff(f933,plain,( 0.56/0.74 spl18_64 | spl18_80 | ~spl18_28), 0.56/0.74 inference(avatar_split_clause,[],[f919,f640,f931,f886])). 0.56/0.74 tff(f931,plain,( 0.56/0.74 spl18_80 <=> ! [X1 : $int] : $less(mod(X1,$product(sK4,sK6)),$product(sK4,sK6))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_80])])). 0.56/0.74 tff(f919,plain,( 0.56/0.74 ( ! [X1:$int] : ($less(mod(X1,$product(sK4,sK6)),$product(sK4,sK6)) | 0 = $product(sK4,sK6)) ) | ~spl18_28), 0.56/0.74 inference(superposition,[],[f407,f641])). 0.56/0.74 tff(f929,plain,( 0.56/0.74 spl18_68 | spl18_78 | ~spl18_30), 0.56/0.74 inference(avatar_split_clause,[],[f918,f644,f927,f893])). 0.56/0.74 tff(f927,plain,( 0.56/0.74 spl18_78 <=> ! [X0 : $int] : $less(mod(X0,sK0),sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_78])])). 0.56/0.74 tff(f918,plain,( 0.56/0.74 ( ! [X0:$int] : ($less(mod(X0,sK0),sK0) | 0 = sK0) ) | ~spl18_30), 0.56/0.74 inference(superposition,[],[f407,f645])). 0.56/0.74 tff(f925,plain,( 0.56/0.74 spl18_76), 0.56/0.74 inference(avatar_split_clause,[],[f921,f923])). 0.56/0.74 tff(f921,plain,( 0.56/0.74 $less(0,abs(1))), 0.56/0.74 inference(evaluation,[],[f917])). 0.56/0.74 tff(f917,plain,( 0.56/0.74 $less(0,abs(1)) | 0 = 1), 0.56/0.74 inference(superposition,[],[f407,f380])). 0.56/0.74 tff(f915,plain,( 0.56/0.74 spl18_74 | ~spl18_14 | ~spl18_36), 0.56/0.74 inference(avatar_split_clause,[],[f911,f896,f563,f913])). 0.56/0.74 tff(f913,plain,( 0.56/0.74 spl18_74 <=> tb2t7(get(elt5,int,t2tb9(sK1),t2tb(0))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(0)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_74])])). 0.56/0.74 tff(f911,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb(0))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(0))) | (~spl18_14 | ~spl18_36)), 0.56/0.74 inference(evaluation,[],[f909])). 0.56/0.74 tff(f909,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb(0))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(0))) | $less(0,0) | (~spl18_14 | ~spl18_36)), 0.56/0.74 inference(resolution,[],[f897,f575])). 0.56/0.74 tff(f908,plain,( 0.56/0.74 spl18_70 | spl18_72 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f881,f550,f903,f900])). 0.56/0.74 tff(f900,plain,( 0.56/0.74 spl18_70 <=> 1 = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_70])])). 0.56/0.74 tff(f881,plain,( 0.56/0.74 $less(1,sK4) | 1 = sK4 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f149,f551])). 0.56/0.74 tff(f149,plain,( 0.56/0.74 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 0.56/0.74 introduced(theory_axiom,[])). 0.56/0.74 tff(f907,plain,( 0.56/0.74 spl18_68 | spl18_36 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f880,f567,f896,f893])). 0.56/0.74 tff(f880,plain,( 0.56/0.74 $less(0,sK0) | 0 = sK0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f149,f568])). 0.56/0.74 tff(f906,plain,( 0.56/0.74 spl18_64 | spl18_66 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f879,f542,f889,f886])). 0.56/0.74 tff(f542,plain,( 0.56/0.74 spl18_5 <=> ~$less($product(sK4,sK6),0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_5])])). 0.56/0.74 tff(f879,plain,( 0.56/0.74 $less(0,$product(sK4,sK6)) | 0 = $product(sK4,sK6) | ~spl18_5), 0.56/0.74 inference(resolution,[],[f149,f543])). 0.56/0.74 tff(f543,plain,( 0.56/0.74 ~$less($product(sK4,sK6),0) | ~spl18_5), 0.56/0.74 inference(avatar_component_clause,[],[f542])). 0.56/0.74 tff(f905,plain,( 0.56/0.74 spl18_70 | spl18_72 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f864,f550,f903,f900])). 0.56/0.74 tff(f864,plain,( 0.56/0.74 $less(1,sK4) | 1 = sK4 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f149,f551])). 0.56/0.74 tff(f898,plain,( 0.56/0.74 spl18_68 | spl18_36 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f863,f567,f896,f893])). 0.56/0.74 tff(f863,plain,( 0.56/0.74 $less(0,sK0) | 0 = sK0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f149,f568])). 0.56/0.74 tff(f891,plain,( 0.56/0.74 spl18_64 | spl18_66 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f862,f542,f889,f886])). 0.56/0.74 tff(f862,plain,( 0.56/0.74 $less(0,$product(sK4,sK6)) | 0 = $product(sK4,sK6) | ~spl18_5), 0.56/0.74 inference(resolution,[],[f149,f543])). 0.56/0.74 tff(f827,plain,( 0.56/0.74 spl18_62 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f813,f550,f825])). 0.56/0.74 tff(f825,plain,( 0.56/0.74 spl18_62 <=> max(sK4,1) = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_62])])). 0.56/0.74 tff(f813,plain,( 0.56/0.74 max(sK4,1) = sK4 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f412,f551])). 0.56/0.74 tff(f823,plain,( 0.56/0.74 spl18_60 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f812,f567,f821])). 0.56/0.74 tff(f821,plain,( 0.56/0.74 spl18_60 <=> max(sK0,0) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_60])])). 0.56/0.74 tff(f812,plain,( 0.56/0.74 max(sK0,0) = sK0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f412,f568])). 0.56/0.74 tff(f819,plain,( 0.56/0.74 spl18_58 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f811,f542,f817])). 0.56/0.74 tff(f817,plain,( 0.56/0.74 spl18_58 <=> max($product(sK4,sK6),0) = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_58])])). 0.56/0.74 tff(f811,plain,( 0.56/0.74 max($product(sK4,sK6),0) = $product(sK4,sK6) | ~spl18_5), 0.56/0.74 inference(resolution,[],[f412,f543])). 0.56/0.74 tff(f798,plain,( 0.56/0.74 spl18_56 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f784,f550,f796])). 0.56/0.74 tff(f796,plain,( 0.56/0.74 spl18_56 <=> max(1,sK4) = sK4), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_56])])). 0.56/0.74 tff(f784,plain,( 0.56/0.74 max(1,sK4) = sK4 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f411,f551])). 0.56/0.74 tff(f794,plain,( 0.56/0.74 spl18_54 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f783,f567,f792])). 0.56/0.74 tff(f792,plain,( 0.56/0.74 spl18_54 <=> max(0,sK0) = sK0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_54])])). 0.56/0.74 tff(f783,plain,( 0.56/0.74 max(0,sK0) = sK0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f411,f568])). 0.56/0.74 tff(f790,plain,( 0.56/0.74 spl18_52 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f782,f542,f788])). 0.56/0.74 tff(f788,plain,( 0.56/0.74 spl18_52 <=> max(0,$product(sK4,sK6)) = $product(sK4,sK6)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_52])])). 0.56/0.74 tff(f782,plain,( 0.56/0.74 max(0,$product(sK4,sK6)) = $product(sK4,sK6) | ~spl18_5), 0.56/0.74 inference(resolution,[],[f411,f543])). 0.56/0.74 tff(f771,plain,( 0.56/0.74 spl18_50 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f757,f550,f769])). 0.56/0.74 tff(f769,plain,( 0.56/0.74 spl18_50 <=> min(1,sK4) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_50])])). 0.56/0.74 tff(f757,plain,( 0.56/0.74 min(1,sK4) = 1 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f410,f551])). 0.56/0.74 tff(f767,plain,( 0.56/0.74 spl18_48 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f756,f567,f765])). 0.56/0.74 tff(f765,plain,( 0.56/0.74 spl18_48 <=> min(0,sK0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_48])])). 0.56/0.74 tff(f756,plain,( 0.56/0.74 min(0,sK0) = 0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f410,f568])). 0.56/0.74 tff(f763,plain,( 0.56/0.74 spl18_46 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f755,f542,f761])). 0.56/0.74 tff(f761,plain,( 0.56/0.74 spl18_46 <=> min(0,$product(sK4,sK6)) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_46])])). 0.56/0.74 tff(f755,plain,( 0.56/0.74 min(0,$product(sK4,sK6)) = 0 | ~spl18_5), 0.56/0.74 inference(resolution,[],[f410,f543])). 0.56/0.74 tff(f742,plain,( 0.56/0.74 spl18_44 | spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f728,f550,f740])). 0.56/0.74 tff(f740,plain,( 0.56/0.74 spl18_44 <=> min(sK4,1) = 1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_44])])). 0.56/0.74 tff(f728,plain,( 0.56/0.74 min(sK4,1) = 1 | ~spl18_9), 0.56/0.74 inference(resolution,[],[f409,f551])). 0.56/0.74 tff(f738,plain,( 0.56/0.74 spl18_42 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f727,f567,f736])). 0.56/0.74 tff(f727,plain,( 0.56/0.74 min(sK0,0) = 0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f409,f568])). 0.56/0.74 tff(f734,plain,( 0.56/0.74 spl18_40 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f726,f542,f732])). 0.56/0.74 tff(f732,plain,( 0.56/0.74 spl18_40 <=> min($product(sK4,sK6),0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_40])])). 0.56/0.74 tff(f726,plain,( 0.56/0.74 min($product(sK4,sK6),0) = 0 | ~spl18_5), 0.56/0.74 inference(resolution,[],[f409,f543])). 0.56/0.74 tff(f715,plain,( 0.56/0.74 spl18_38), 0.56/0.74 inference(avatar_split_clause,[],[f707,f713])). 0.56/0.74 tff(f713,plain,( 0.56/0.74 spl18_38 <=> witness1(elt5) = t2tb7(tb2t7(witness1(elt5)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_38])])). 0.56/0.74 tff(f707,plain,( 0.56/0.74 witness1(elt5) = t2tb7(tb2t7(witness1(elt5)))), 0.56/0.74 inference(resolution,[],[f386,f370])). 0.56/0.74 tff(f386,plain,( 0.56/0.74 ( ! [X0:uni] : (~sort1(elt5,X0) | t2tb7(tb2t7(X0)) = X0) )), 0.56/0.74 inference(cnf_transformation,[],[f229])). 0.56/0.74 tff(f229,plain,( 0.56/0.74 ! [X0 : uni] : (t2tb7(tb2t7(X0)) = X0 | ~sort1(elt5,X0))), 0.56/0.74 inference(ennf_transformation,[],[f170])). 0.56/0.74 tff(f170,plain,( 0.56/0.74 ! [X0 : uni] : (sort1(elt5,X0) => t2tb7(tb2t7(X0)) = X0)), 0.56/0.74 inference(rectify,[],[f26])). 0.56/0.74 tff(f26,axiom,( 0.56/0.74 ! [X24 : uni] : (sort1(elt5,X24) => t2tb7(tb2t7(X24)) = X24)), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR7)). 0.56/0.74 tff(f704,plain,( 0.56/0.74 spl18_34 | ~spl18_37), 0.56/0.74 inference(avatar_split_clause,[],[f697,f702,f699])). 0.56/0.74 tff(f702,plain,( 0.56/0.74 spl18_37 <=> ~$less(0,sK0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_37])])). 0.56/0.74 tff(f697,plain,( 0.56/0.74 ~$less(0,sK0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4))), 0.56/0.74 inference(forward_demodulation,[],[f696,f613])). 0.56/0.74 tff(f613,plain,( 0.56/0.74 ( ! [X1:$int] : (0 = $product(0,X1)) )), 0.56/0.74 inference(superposition,[],[f153,f156])). 0.56/0.74 tff(f696,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4)) | ~$less($product(0,sK4),sK0)), 0.56/0.74 inference(evaluation,[],[f695])). 0.56/0.74 tff(f695,plain,( 0.56/0.74 $less(0,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4)) | ~$less($product(0,sK4),sK0)), 0.56/0.74 inference(forward_demodulation,[],[f694,f613])). 0.56/0.74 tff(f694,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,sK4)) | $less($product(0,sK4),0) | ~$less($product(0,sK4),sK0)), 0.56/0.74 inference(forward_demodulation,[],[f693,f144])). 0.56/0.74 tff(f144,plain,( 0.56/0.74 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.56/0.74 introduced(theory_axiom,[])). 0.56/0.74 tff(f693,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),0,min(sK0,$sum(sK4,0))) | $less($product(0,sK4),0) | ~$less($product(0,sK4),sK0)), 0.56/0.74 inference(superposition,[],[f553,f613])). 0.56/0.74 tff(f673,plain,( 0.56/0.74 spl18_32 | spl18_20), 0.56/0.74 inference(avatar_split_clause,[],[f669,f585,f671])). 0.56/0.74 tff(f669,plain,( 0.56/0.74 $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4)))), 0.56/0.74 inference(global_subsumption,[],[f362,f668])). 0.56/0.74 tff(f668,plain,( 0.56/0.74 ~$less(sK4,sK0) | $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4)))), 0.56/0.74 inference(forward_demodulation,[],[f667,f612])). 0.56/0.74 tff(f667,plain,( 0.56/0.74 $less(sK4,0) | sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4))) | ~$less($product(1,sK4),sK0)), 0.56/0.74 inference(forward_demodulation,[],[f666,f612])). 0.56/0.74 tff(f666,plain,( 0.56/0.74 sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),sK4,min(sK0,$sum(sK4,sK4))) | $less($product(1,sK4),0) | ~$less($product(1,sK4),sK0)), 0.56/0.74 inference(superposition,[],[f553,f612])). 0.56/0.74 tff(f646,plain,( 0.56/0.74 spl18_30 | spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f633,f567,f644])). 0.56/0.74 tff(f633,plain,( 0.56/0.74 abs(sK0) = sK0 | ~spl18_17), 0.56/0.74 inference(resolution,[],[f384,f568])). 0.56/0.74 tff(f642,plain,( 0.56/0.74 spl18_28 | spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f632,f542,f640])). 0.56/0.74 tff(f632,plain,( 0.56/0.74 abs($product(sK4,sK6)) = $product(sK4,sK6) | ~spl18_5), 0.56/0.74 inference(resolution,[],[f384,f543])). 0.56/0.74 tff(f638,plain,( 0.56/0.74 spl18_26), 0.56/0.74 inference(avatar_split_clause,[],[f628,f636])). 0.56/0.74 tff(f636,plain,( 0.56/0.74 spl18_26 <=> abs(0) = 0), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_26])])). 0.56/0.74 tff(f628,plain,( 0.56/0.74 abs(0) = 0), 0.56/0.74 inference(resolution,[],[f384,f147])). 0.56/0.74 tff(f595,plain,( 0.56/0.74 spl18_24 | ~spl18_2 | ~spl18_14), 0.56/0.74 inference(avatar_split_clause,[],[f591,f563,f537,f593])). 0.56/0.74 tff(f593,plain,( 0.56/0.74 spl18_24 <=> tb2t7(get(elt5,int,t2tb9(sK1),t2tb($product(sK4,sK6)))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb($product(sK4,sK6))))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_24])])). 0.56/0.74 tff(f591,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb($product(sK4,sK6)))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb($product(sK4,sK6)))) | (~spl18_2 | ~spl18_14)), 0.56/0.74 inference(global_subsumption,[],[f540,f583])). 0.56/0.74 tff(f583,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb($product(sK4,sK6)))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb($product(sK4,sK6)))) | $less($product(sK4,sK6),0) | (~spl18_2 | ~spl18_14)), 0.56/0.74 inference(resolution,[],[f575,f538])). 0.56/0.74 tff(f590,plain,( 0.56/0.74 spl18_20 | spl18_22 | ~spl18_6 | ~spl18_14), 0.56/0.74 inference(avatar_split_clause,[],[f582,f563,f546,f588,f585])). 0.56/0.74 tff(f588,plain,( 0.56/0.74 spl18_22 <=> tb2t7(get(elt5,int,t2tb9(sK1),t2tb(sK4))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(sK4)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_22])])). 0.56/0.74 tff(f582,plain,( 0.56/0.74 tb2t7(get(elt5,int,t2tb9(sK1),t2tb(sK4))) = tb2t7(get(elt5,int,t2tb9(sK3),t2tb(sK4))) | $less(sK4,0) | (~spl18_6 | ~spl18_14)), 0.56/0.74 inference(resolution,[],[f575,f547])). 0.56/0.74 tff(f573,plain,( 0.56/0.74 ~spl18_19), 0.56/0.74 inference(avatar_split_clause,[],[f366,f571])). 0.56/0.74 tff(f571,plain,( 0.56/0.74 spl18_19 <=> true1 != false1), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_19])])). 0.56/0.74 tff(f366,plain,( 0.56/0.74 true1 != false1), 0.56/0.74 inference(cnf_transformation,[],[f29])). 0.56/0.74 tff(f29,axiom,( 0.56/0.74 true1 != false1), 0.56/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 0.56/0.74 tff(f569,plain,( 0.56/0.74 ~spl18_17), 0.56/0.74 inference(avatar_split_clause,[],[f355,f567])). 0.56/0.74 tff(f355,plain,( 0.56/0.74 ~$less(sK0,0)), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f565,plain,( 0.56/0.74 spl18_14), 0.56/0.74 inference(avatar_split_clause,[],[f356,f563])). 0.56/0.74 tff(f356,plain,( 0.56/0.74 sK0 = sK2), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f561,plain,( 0.56/0.74 ~spl18_13), 0.56/0.74 inference(avatar_split_clause,[],[f358,f559])). 0.56/0.74 tff(f559,plain,( 0.56/0.74 spl18_13 <=> ~$less(sK2,0)), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_13])])). 0.56/0.74 tff(f358,plain,( 0.56/0.74 ~$less(sK2,0)), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f557,plain,( 0.56/0.74 spl18_10), 0.56/0.74 inference(avatar_split_clause,[],[f359,f555])). 0.56/0.74 tff(f555,plain,( 0.56/0.74 spl18_10 <=> permut_all(elt5,mk_array1(elt5,sK0,t2tb9(sK1)),mk_array1(elt5,sK0,t2tb9(sK5)))), 0.56/0.74 introduced(avatar_definition,[new_symbols(naming,[spl18_10])])). 0.56/0.74 tff(f359,plain,( 0.56/0.74 permut_all(elt5,mk_array1(elt5,sK0,t2tb9(sK1)),mk_array1(elt5,sK0,t2tb9(sK5)))), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f552,plain,( 0.56/0.74 ~spl18_9), 0.56/0.74 inference(avatar_split_clause,[],[f361,f550])). 0.56/0.74 tff(f361,plain,( 0.56/0.74 ~$less(sK4,1)), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 tff(f548,plain,( 0.56/0.74 spl18_6), 0.56/0.74 inference(avatar_split_clause,[],[f362,f546])). 0.56/0.74 tff(f544,plain,( 0.56/0.74 ~spl18_5), 0.56/0.74 inference(avatar_split_clause,[],[f540,f542])). 0.56/0.74 tff(f539,plain,( 0.56/0.74 spl18_2), 0.56/0.74 inference(avatar_split_clause,[],[f535,f537])). 0.56/0.74 tff(f534,plain,( 0.56/0.74 ~spl18_1), 0.56/0.74 inference(avatar_split_clause,[],[f530,f532])). 0.56/0.74 tff(f530,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK4,sK6),min(sK0,$sum(sK4,$product(sK4,sK6))))), 0.56/0.74 inference(forward_demodulation,[],[f529,f153])). 0.56/0.74 tff(f529,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK6,sK4),min(sK0,$sum(sK4,$product(sK6,sK4))))), 0.56/0.74 inference(forward_demodulation,[],[f365,f142])). 0.56/0.74 tff(f365,plain,( 0.56/0.74 ~sorted_sub3(tb2t8(mk_array1(elt5,sK0,t2tb9(sK5))),$product(sK6,sK4),min(sK0,$sum($product(sK6,sK4),sK4)))), 0.56/0.74 inference(cnf_transformation,[],[f313])). 0.56/0.74 % SZS output end Proof for theBenchmark 0.56/0.74 % ------------------------------ 0.56/0.74 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.56/0.74 % Termination reason: Refutation 0.56/0.74 0.56/0.74 % Memory used [KB]: 11257 0.56/0.74 % Time elapsed: 0.358 s 0.56/0.74 % ------------------------------ 0.56/0.74 % ------------------------------ 0.56/0.74 % Success in time 0.413 s 0.56/0.74 EOF