0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_vampire %s %d 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 07:43:44 EDT 2020 0.13/0.35 % CPUTime : 0.22/0.49 % (6638)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.22/0.51 % (6652)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.22/0.53 % (6647)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.22/0.54 % (6631)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 0.22/0.55 % (6636)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.22/0.55 % (6633)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.22/0.55 % (6645)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.22/0.55 % (6653)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.22/0.55 % (6635)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.22/0.55 % (6640)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 1.36/0.56 % (6634)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 1.36/0.56 % (6659)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 1.36/0.56 % (6637)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 1.36/0.56 % (6646)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 1.36/0.56 % (6660)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 1.36/0.56 % (6644)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 1.36/0.56 % (6648)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 1.36/0.57 % (6657)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 1.36/0.57 % (6650)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 1.36/0.57 % (6632)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 1.36/0.57 % (6655)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 1.36/0.57 % (6656)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 1.36/0.57 % (6651)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 1.36/0.57 % (6649)WARNING: option uwaf not known. 1.36/0.57 % (6649)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 1.36/0.57 % (6639)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 1.55/0.58 % (6642)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 1.55/0.58 % (6654)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 1.55/0.58 % (6658)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 1.55/0.58 % (6660)Refutation not found, incomplete strategy% (6660)------------------------------ 1.55/0.58 % (6660)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.55/0.58 % (6660)Termination reason: Refutation not found, incomplete strategy 1.55/0.58 1.55/0.58 % (6660)Memory used [KB]: 10874 1.55/0.58 % (6660)Time elapsed: 0.120 s 1.55/0.58 % (6660)------------------------------ 1.55/0.58 % (6660)------------------------------ 1.55/0.58 % (6643)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 1.55/0.58 % (6641)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 2.09/0.70 % (6661)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 2.60/0.72 % (6654)Refutation not found, incomplete strategy% (6654)------------------------------ 2.60/0.72 % (6654)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.60/0.72 % (6654)Termination reason: Refutation not found, incomplete strategy 2.60/0.72 2.60/0.72 % (6654)Memory used [KB]: 6396 2.60/0.72 % (6654)Time elapsed: 0.297 s 2.60/0.72 % (6654)------------------------------ 2.60/0.72 % (6654)------------------------------ 2.91/0.77 % (6648)Refutation not found, incomplete strategy% (6648)------------------------------ 2.91/0.77 % (6648)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.91/0.77 % (6648)Termination reason: Refutation not found, incomplete strategy 2.91/0.77 2.91/0.77 % (6648)Memory used [KB]: 6268 2.91/0.77 % (6648)Time elapsed: 0.338 s 2.91/0.77 % (6648)------------------------------ 2.91/0.77 % (6648)------------------------------ 3.72/0.91 % (6647)Refutation found. Thanks to Tanya! 3.72/0.91 % SZS status Theorem for theBenchmark 3.72/0.92 % (6662)dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark 3.72/0.92 % SZS output start Proof for theBenchmark 3.72/0.92 tff(type_def_5, type, uni: $tType). 3.72/0.92 tff(type_def_6, type, ty: $tType). 3.72/0.92 tff(type_def_7, type, bool1: $tType). 3.72/0.92 tff(type_def_8, type, tuple02: $tType). 3.72/0.92 tff(type_def_9, type, elt6: $tType). 3.72/0.92 tff(type_def_10, type, array_elt3: $tType). 3.72/0.92 tff(type_def_11, type, map_int_elt3: $tType). 3.72/0.92 tff(func_def_0, type, witness1: ty > uni). 3.72/0.92 tff(func_def_1, type, int: ty). 3.72/0.92 tff(func_def_2, type, real: ty). 3.72/0.92 tff(func_def_3, type, bool: ty). 3.72/0.92 tff(func_def_4, type, true1: bool1). 3.72/0.92 tff(func_def_5, type, false1: bool1). 3.72/0.92 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 3.72/0.92 tff(func_def_7, type, tuple0: ty). 3.72/0.92 tff(func_def_8, type, tuple03: tuple02). 3.72/0.92 tff(func_def_9, type, qtmark: ty). 3.72/0.92 tff(func_def_10, type, map: (ty * ty) > ty). 3.72/0.92 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 3.72/0.92 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 3.72/0.92 tff(func_def_13, type, const: (ty * ty * uni) > uni). 3.72/0.92 tff(func_def_14, type, array: ty > ty). 3.72/0.92 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 3.72/0.92 tff(func_def_16, type, length1: (ty * uni) > $int). 3.72/0.92 tff(func_def_17, type, elts: (ty * uni) > uni). 3.72/0.92 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 3.72/0.92 tff(func_def_19, type, t2tb: $int > uni). 3.72/0.92 tff(func_def_20, type, tb2t: uni > $int). 3.72/0.92 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 3.72/0.92 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 3.72/0.92 tff(func_def_23, type, elt7: ty). 3.72/0.92 tff(func_def_24, type, t2tb10: array_elt3 > uni). 3.72/0.92 tff(func_def_25, type, tb2t10: uni > array_elt3). 3.72/0.92 tff(func_def_26, type, t2tb11: elt6 > uni). 3.72/0.92 tff(func_def_27, type, tb2t11: uni > elt6). 3.72/0.92 tff(func_def_28, type, ref: ty > ty). 3.72/0.92 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 3.72/0.92 tff(func_def_30, type, contents: (ty * uni) > uni). 3.72/0.92 tff(func_def_31, type, occ1: (ty * uni * uni * $int * $int) > $int). 3.72/0.92 tff(func_def_32, type, abs: $int > $int). 3.72/0.92 tff(func_def_33, type, div: ($int * $int) > $int). 3.72/0.92 tff(func_def_34, type, mod: ($int * $int) > $int). 3.72/0.92 tff(func_def_35, type, min: ($int * $int) > $int). 3.72/0.92 tff(func_def_36, type, max: ($int * $int) > $int). 3.72/0.92 tff(func_def_37, type, t2tb12: map_int_elt3 > uni). 3.72/0.92 tff(func_def_38, type, tb2t12: uni > map_int_elt3). 3.72/0.92 tff(func_def_45, type, sK0: $int). 3.72/0.92 tff(func_def_46, type, sK1: map_int_elt3). 3.72/0.92 tff(func_def_47, type, sK2: $int). 3.72/0.92 tff(func_def_48, type, sK3: (array_elt3 * $int * $int) > $int). 3.72/0.92 tff(func_def_49, type, sK4: (array_elt3 * $int * $int) > $int). 3.72/0.92 tff(func_def_50, type, sK5: (ty * uni * uni * $int * $int) > uni). 3.72/0.92 tff(func_def_51, type, sK6: (ty * uni * uni * $int * $int) > $int). 3.72/0.92 tff(func_def_52, type, sK7: (ty * uni * uni * $int * $int) > $int). 3.72/0.92 tff(func_def_53, type, sK8: (ty * uni * uni * $int * $int) > $int). 3.72/0.92 tff(func_def_54, type, sK9: (ty * uni * uni * $int * $int * $int) > $int). 3.72/0.92 tff(func_def_55, type, sK10: (ty * uni * uni * $int * $int) > $int). 3.72/0.92 tff(func_def_56, type, sK11: (ty * uni * uni * $int * $int * $int * $int) > $int). 3.72/0.92 tff(pred_def_1, type, sort1: (ty * uni) > $o). 3.72/0.92 tff(pred_def_2, type, le4: (elt6 * elt6) > $o). 3.72/0.92 tff(pred_def_3, type, sorted_sub4: (array_elt3 * $int * $int) > $o). 3.72/0.92 tff(pred_def_4, type, sorted4: array_elt3 > $o). 3.72/0.92 tff(pred_def_5, type, permut2: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_6, type, map_eq_sub1: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_7, type, array_eq_sub1: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_8, type, array_eq: (ty * uni * uni) > $o). 3.72/0.92 tff(pred_def_9, type, exchange2: (ty * uni * uni * $int * $int * $int * $int) > $o). 3.72/0.92 tff(pred_def_10, type, exchange3: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_11, type, permut3: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_12, type, permut_sub1: (ty * uni * uni * $int * $int) > $o). 3.72/0.92 tff(pred_def_13, type, permut_all: (ty * uni * uni) > $o). 3.72/0.92 tff(f2261,plain,( 3.72/0.92 $false), 3.72/0.92 inference(avatar_sat_refutation,[],[f478,f483,f488,f493,f518,f523,f528,f533,f539,f545,f573,f578,f583,f588,f593,f599,f605,f615,f620,f625,f631,f644,f646,f651,f672,f677,f684,f706,f707,f712,f750,f762,f767,f768,f769,f775,f780,f785,f790,f846,f848,f849,f857,f906,f911,f918,f942,f947,f952,f957,f963,f969,f1135,f1137,f1154,f1159,f1164,f1169,f1174,f1180,f1186,f1235,f1237,f1351,f1355,f1381,f1386,f1391,f1396,f1402,f1408,f1436,f1437,f1466,f1470,f1474,f1499,f1504,f1509,f1514,f1523,f1530,f1536,f1538,f1540,f1542,f1568,f1573,f1578,f1583,f1589,f1595,f1624,f1629,f1634,f1639,f1645,f1651,f1694,f1715,f1720,f1725,f1730,f1736,f1742,f1769,f1857,f1862,f1867,f1872,f1878,f1884,f1918,f1926,f1935,f1943,f1991,f1996,f2001,f2006,f2011,f2017,f2023,f2114,f2119,f2124,f2129,f2135,f2141,f2152,f2157,f2163,f2191,f2196,f2201,f2206,f2212,f2218,f2223,f2249,f2254,f2260])). 3.72/0.92 tff(f2260,plain,( 3.72/0.92 ~spl12_136 | spl12_21), 3.72/0.92 inference(avatar_split_clause,[],[f2255,f628,f2257])). 3.72/0.92 tff(f2257,plain,( 3.72/0.92 spl12_136 <=> le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_136])])). 3.72/0.92 tff(f628,plain,( 3.72/0.92 spl12_21 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_21])])). 3.72/0.92 tff(f2255,plain,( 3.72/0.92 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl12_21), 3.72/0.92 inference(subsumption_resolution,[],[f2242,f343])). 3.72/0.92 tff(f343,plain,( 3.72/0.92 ( ! [X0:map_int_elt3] : (sort1(map(int,elt7),t2tb12(X0))) )), 3.72/0.92 inference(cnf_transformation,[],[f157])). 3.72/0.92 tff(f157,plain,( 3.72/0.92 ! [X0 : map_int_elt3] : sort1(map(int,elt7),t2tb12(X0))), 3.72/0.92 inference(rectify,[],[f39])). 3.72/0.92 tff(f39,axiom,( 3.72/0.92 ! [X6 : map_int_elt3] : sort1(map(int,elt7),t2tb12(X6))), 3.72/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort15)). 3.72/0.92 tff(f2242,plain,( 3.72/0.92 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | ~sort1(map(int,elt7),t2tb12(sK1)) | spl12_21), 3.72/0.92 inference(superposition,[],[f630,f394])). 3.72/0.92 tff(f394,plain,( 3.72/0.92 ( ! [X2:uni,X0:ty,X1:$int] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2)) )), 3.72/0.92 inference(cnf_transformation,[],[f276])). 3.72/0.92 tff(f276,plain,( 3.72/0.92 ! [X0 : ty,X1 : $int,X2 : uni] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2))), 3.72/0.92 inference(ennf_transformation,[],[f202])). 3.72/0.92 tff(f202,plain,( 3.72/0.92 ! [X0 : ty,X1 : $int,X2 : uni] : (sort1(map(int,X0),X2) => elts(X0,mk_array1(X0,X1,X2)) = X2)), 3.72/0.92 inference(rectify,[],[f52])). 3.72/0.92 tff(f52,axiom,( 3.72/0.92 ! [X0 : ty,X5 : $int,X13 : uni] : (sort1(map(int,X0),X13) => elts(X0,mk_array1(X0,X5,X13)) = X13)), 3.72/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def1)). 3.72/0.92 tff(f630,plain,( 3.72/0.92 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl12_21), 3.72/0.92 inference(avatar_component_clause,[],[f628])). 3.72/0.92 tff(f2254,plain,( 3.72/0.92 spl12_135 | spl12_21), 3.72/0.92 inference(avatar_split_clause,[],[f2240,f628,f2251])). 3.72/0.92 tff(f2251,plain,( 3.72/0.92 spl12_135 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_135])])). 3.72/0.92 tff(f2240,plain,( 3.72/0.92 le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl12_21), 3.72/0.92 inference(resolution,[],[f630,f357])). 3.72/0.92 tff(f357,plain,( 3.72/0.92 ( ! [X0:elt6,X1:elt6] : (le4(X0,X1) | le4(X1,X0)) )), 3.72/0.92 inference(cnf_transformation,[],[f169])). 3.72/0.92 tff(f169,plain,( 3.72/0.92 ! [X0 : elt6,X1 : elt6] : (le4(X1,X0) | le4(X0,X1))), 3.72/0.92 inference(rectify,[],[f42])). 3.72/0.92 tff(f42,axiom,( 3.72/0.92 ! [X6 : elt6,X7 : elt6] : (le4(X7,X6) | le4(X6,X7))), 3.72/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total4)). 3.72/0.92 tff(f2249,plain,( 3.72/0.92 ~spl12_134 | spl12_21), 3.72/0.92 inference(avatar_split_clause,[],[f2238,f628,f2246])). 3.72/0.92 tff(f2246,plain,( 3.72/0.92 spl12_134 <=> sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_134])])). 3.72/0.92 tff(f2238,plain,( 3.72/0.92 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) != sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) | spl12_21), 3.72/0.92 inference(constrained_resolution,[],[f630,f329])). 3.72/0.92 tff(f329,plain,( 3.72/0.92 ( ! [X0:elt6] : (le4(X0,X0)) )), 3.72/0.92 inference(cnf_transformation,[],[f144])). 3.72/0.92 tff(f144,plain,( 3.72/0.92 ! [X0 : elt6] : le4(X0,X0)), 3.72/0.92 inference(rectify,[],[f77])). 3.72/0.92 tff(f77,axiom,( 3.72/0.92 ! [X6 : elt6] : le4(X6,X6)), 3.72/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl4)). 3.72/0.92 tff(f2223,plain,( 3.72/0.92 spl12_127 | ~spl12_36), 3.72/0.92 inference(avatar_split_clause,[],[f2222,f787,f2160])). 3.72/0.92 tff(f2160,plain,( 3.72/0.92 spl12_127 <=> le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_127])])). 3.72/0.92 tff(f787,plain,( 3.72/0.92 spl12_36 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_36])])). 3.72/0.92 tff(f2222,plain,( 3.72/0.92 le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~spl12_36), 3.72/0.92 inference(subsumption_resolution,[],[f2220,f343])). 3.72/0.92 tff(f2220,plain,( 3.72/0.92 le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~sort1(map(int,elt7),t2tb12(sK1)) | ~spl12_36), 3.72/0.92 inference(superposition,[],[f788,f394])). 3.72/0.92 tff(f788,plain,( 3.72/0.92 le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~spl12_36), 3.72/0.92 inference(avatar_component_clause,[],[f787])). 3.72/0.92 tff(f2218,plain,( 3.72/0.92 spl12_133 | ~spl12_128 | ~spl12_130), 3.72/0.92 inference(avatar_split_clause,[],[f2213,f2198,f2188,f2215])). 3.72/0.92 tff(f2215,plain,( 3.72/0.92 spl12_133 <=> $sum(sK2,$uminus(sK2)) = max(0,$sum(sK2,$uminus(sK2)))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_133])])). 3.72/0.92 tff(f2188,plain,( 3.72/0.92 spl12_128 <=> $sum(sK2,$uminus(sK2)) = max($sum(sK2,$uminus(sK2)),0)), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_128])])). 3.72/0.92 tff(f2198,plain,( 3.72/0.92 spl12_130 <=> max($sum(sK2,$uminus(sK2)),0) = max(0,$sum(sK2,$uminus(sK2)))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_130])])). 3.72/0.92 tff(f2213,plain,( 3.72/0.92 $sum(sK2,$uminus(sK2)) = max(0,$sum(sK2,$uminus(sK2))) | (~spl12_128 | ~spl12_130)), 3.72/0.92 inference(backward_demodulation,[],[f2200,f2190])). 3.72/0.92 tff(f2190,plain,( 3.72/0.92 $sum(sK2,$uminus(sK2)) = max($sum(sK2,$uminus(sK2)),0) | ~spl12_128), 3.72/0.92 inference(avatar_component_clause,[],[f2188])). 3.72/0.92 tff(f2200,plain,( 3.72/0.92 max($sum(sK2,$uminus(sK2)),0) = max(0,$sum(sK2,$uminus(sK2))) | ~spl12_130), 3.72/0.92 inference(avatar_component_clause,[],[f2198])). 3.72/0.92 tff(f2212,plain,( 3.72/0.92 spl12_132 | ~spl12_129 | ~spl12_131), 3.72/0.92 inference(avatar_split_clause,[],[f2207,f2203,f2193,f2209])). 3.72/0.92 tff(f2209,plain,( 3.72/0.92 spl12_132 <=> 0 = min(0,$sum(sK2,$uminus(sK2)))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_132])])). 3.72/0.92 tff(f2193,plain,( 3.72/0.92 spl12_129 <=> 0 = min($sum(sK2,$uminus(sK2)),0)), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_129])])). 3.72/0.92 tff(f2203,plain,( 3.72/0.92 spl12_131 <=> min($sum(sK2,$uminus(sK2)),0) = min(0,$sum(sK2,$uminus(sK2)))), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_131])])). 3.72/0.92 tff(f2207,plain,( 3.72/0.92 0 = min(0,$sum(sK2,$uminus(sK2))) | (~spl12_129 | ~spl12_131)), 3.72/0.92 inference(backward_demodulation,[],[f2205,f2195])). 3.72/0.92 tff(f2195,plain,( 3.72/0.92 0 = min($sum(sK2,$uminus(sK2)),0) | ~spl12_129), 3.72/0.92 inference(avatar_component_clause,[],[f2193])). 3.72/0.92 tff(f2205,plain,( 3.72/0.92 min($sum(sK2,$uminus(sK2)),0) = min(0,$sum(sK2,$uminus(sK2))) | ~spl12_131), 3.72/0.92 inference(avatar_component_clause,[],[f2203])). 3.72/0.92 tff(f2206,plain,( 3.72/0.92 spl12_131 | spl12_41), 3.72/0.92 inference(avatar_split_clause,[],[f2178,f915,f2203])). 3.72/0.92 tff(f915,plain,( 3.72/0.92 spl12_41 <=> $less($sum(sK2,$uminus(sK2)),0)), 3.72/0.92 introduced(avatar_definition,[new_symbols(naming,[spl12_41])])). 3.72/0.92 tff(f2178,plain,( 3.72/0.92 min($sum(sK2,$uminus(sK2)),0) = min(0,$sum(sK2,$uminus(sK2))) | spl12_41), 3.72/0.92 inference(resolution,[],[f917,f370])). 3.72/0.92 tff(f370,plain,( 3.72/0.92 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | min(X0,X1) = min(X1,X0)) )), 3.72/0.92 inference(cnf_transformation,[],[f254])). 3.72/0.92 tff(f254,plain,( 3.72/0.92 ! [X0 : $int,X1 : $int] : (min(X0,X1) = min(X1,X0) | $less(X0,X1))), 3.72/0.92 inference(ennf_transformation,[],[f181])). 3.72/0.92 tff(f181,plain,( 3.72/0.92 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = min(X1,X0))), 3.72/0.92 inference(rectify,[],[f112])). 3.72/0.92 tff(f112,plain,( 3.72/0.92 ! [X6 : $int,X7 : $int] : (~$less(X6,X7) => min(X6,X7) = min(X7,X6))), 3.72/0.92 inference(theory_normalization,[],[f53])). 3.72/0.92 tff(f53,axiom,( 3.72/0.92 ! [X6 : $int,X7 : $int] : ($lesseq(X7,X6) => min(X6,X7) = min(X7,X6))), 3.72/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_sym)). 3.72/0.92 tff(f917,plain,( 3.72/0.92 ~$less($sum(sK2,$uminus(sK2)),0) | spl12_41), 3.72/0.92 inference(avatar_component_clause,[],[f915])). 3.72/0.92 tff(f2201,plain,( 3.72/0.92 spl12_130 | spl12_41), 3.72/0.92 inference(avatar_split_clause,[],[f2177,f915,f2198])). 3.72/0.92 tff(f2177,plain,( 3.72/0.92 max($sum(sK2,$uminus(sK2)),0) = max(0,$sum(sK2,$uminus(sK2))) | spl12_41), 3.72/0.92 inference(resolution,[],[f917,f369])). 3.72/0.92 tff(f369,plain,( 3.72/0.92 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | max(X0,X1) = max(X1,X0)) )), 3.72/0.92 inference(cnf_transformation,[],[f253])). 4.14/0.93 tff(f253,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (max(X0,X1) = max(X1,X0) | $less(X0,X1))), 4.14/0.93 inference(ennf_transformation,[],[f180])). 4.14/0.93 tff(f180,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = max(X1,X0))), 4.14/0.93 inference(rectify,[],[f111])). 4.14/0.93 tff(f111,plain,( 4.14/0.93 ! [X6 : $int,X7 : $int] : (~$less(X6,X7) => max(X6,X7) = max(X7,X6))), 4.14/0.93 inference(theory_normalization,[],[f23])). 4.14/0.93 tff(f23,axiom,( 4.14/0.93 ! [X6 : $int,X7 : $int] : ($lesseq(X7,X6) => max(X6,X7) = max(X7,X6))), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_sym)). 4.14/0.93 tff(f2196,plain,( 4.14/0.93 spl12_129 | spl12_41), 4.14/0.93 inference(avatar_split_clause,[],[f2176,f915,f2193])). 4.14/0.93 tff(f2176,plain,( 4.14/0.93 0 = min($sum(sK2,$uminus(sK2)),0) | spl12_41), 4.14/0.93 inference(resolution,[],[f917,f368])). 4.14/0.93 tff(f368,plain,( 4.14/0.93 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | min(X0,X1) = X1) )), 4.14/0.93 inference(cnf_transformation,[],[f252])). 4.14/0.93 tff(f252,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X1 | $less(X0,X1))), 4.14/0.93 inference(ennf_transformation,[],[f179])). 4.14/0.93 tff(f179,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = X1)), 4.14/0.93 inference(rectify,[],[f110])). 4.14/0.93 tff(f110,plain,( 4.14/0.93 ! [X6 : $int,X7 : $int] : (~$less(X6,X7) => min(X6,X7) = X7)), 4.14/0.93 inference(theory_normalization,[],[f95])). 4.14/0.93 tff(f95,axiom,( 4.14/0.93 ! [X6 : $int,X7 : $int] : ($lesseq(X7,X6) => min(X6,X7) = X7)), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_y)). 4.14/0.93 tff(f2191,plain,( 4.14/0.93 spl12_128 | spl12_41), 4.14/0.93 inference(avatar_split_clause,[],[f2175,f915,f2188])). 4.14/0.93 tff(f2175,plain,( 4.14/0.93 $sum(sK2,$uminus(sK2)) = max($sum(sK2,$uminus(sK2)),0) | spl12_41), 4.14/0.93 inference(resolution,[],[f917,f367])). 4.14/0.93 tff(f367,plain,( 4.14/0.93 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | max(X0,X1) = X0) )), 4.14/0.93 inference(cnf_transformation,[],[f251])). 4.14/0.93 tff(f251,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 4.14/0.93 inference(ennf_transformation,[],[f178])). 4.14/0.93 tff(f178,plain,( 4.14/0.93 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = X0)), 4.14/0.93 inference(rectify,[],[f109])). 4.14/0.93 tff(f109,plain,( 4.14/0.93 ! [X6 : $int,X7 : $int] : (~$less(X6,X7) => max(X6,X7) = X6)), 4.14/0.93 inference(theory_normalization,[],[f48])). 4.14/0.93 tff(f48,axiom,( 4.14/0.93 ! [X6 : $int,X7 : $int] : ($lesseq(X7,X6) => max(X6,X7) = X6)), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_x)). 4.14/0.93 tff(f2163,plain,( 4.14/0.93 ~spl12_127 | spl12_36), 4.14/0.93 inference(avatar_split_clause,[],[f2158,f787,f2160])). 4.14/0.93 tff(f2158,plain,( 4.14/0.93 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl12_36), 4.14/0.93 inference(subsumption_resolution,[],[f2146,f343])). 4.14/0.93 tff(f2146,plain,( 4.14/0.93 ~le4(tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,t2tb12(sK1),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | ~sort1(map(int,elt7),t2tb12(sK1)) | spl12_36), 4.14/0.93 inference(superposition,[],[f789,f394])). 4.14/0.93 tff(f789,plain,( 4.14/0.93 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl12_36), 4.14/0.93 inference(avatar_component_clause,[],[f787])). 4.14/0.93 tff(f2157,plain,( 4.14/0.93 spl12_126 | spl12_36), 4.14/0.93 inference(avatar_split_clause,[],[f2144,f787,f2154])). 4.14/0.93 tff(f2154,plain,( 4.14/0.93 spl12_126 <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_126])])). 4.14/0.93 tff(f2144,plain,( 4.14/0.93 le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | spl12_36), 4.14/0.93 inference(resolution,[],[f789,f357])). 4.14/0.93 tff(f2152,plain,( 4.14/0.93 ~spl12_125 | spl12_36), 4.14/0.93 inference(avatar_split_clause,[],[f2142,f787,f2149])). 4.14/0.93 tff(f2149,plain,( 4.14/0.93 spl12_125 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_125])])). 4.14/0.93 tff(f2142,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) != sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | spl12_36), 4.14/0.93 inference(constrained_resolution,[],[f789,f329])). 4.14/0.93 tff(f2141,plain,( 4.14/0.93 spl12_124 | ~spl12_119 | ~spl12_121), 4.14/0.93 inference(avatar_split_clause,[],[f2136,f2121,f2111,f2138])). 4.14/0.93 tff(f2138,plain,( 4.14/0.93 spl12_124 <=> $sum(sK0,$uminus(sK0)) = max(0,$sum(sK0,$uminus(sK0)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_124])])). 4.14/0.93 tff(f2111,plain,( 4.14/0.93 spl12_119 <=> $sum(sK0,$uminus(sK0)) = max($sum(sK0,$uminus(sK0)),0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_119])])). 4.14/0.93 tff(f2121,plain,( 4.14/0.93 spl12_121 <=> max($sum(sK0,$uminus(sK0)),0) = max(0,$sum(sK0,$uminus(sK0)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_121])])). 4.14/0.93 tff(f2136,plain,( 4.14/0.93 $sum(sK0,$uminus(sK0)) = max(0,$sum(sK0,$uminus(sK0))) | (~spl12_119 | ~spl12_121)), 4.14/0.93 inference(backward_demodulation,[],[f2123,f2113])). 4.14/0.93 tff(f2113,plain,( 4.14/0.93 $sum(sK0,$uminus(sK0)) = max($sum(sK0,$uminus(sK0)),0) | ~spl12_119), 4.14/0.93 inference(avatar_component_clause,[],[f2111])). 4.14/0.93 tff(f2123,plain,( 4.14/0.93 max($sum(sK0,$uminus(sK0)),0) = max(0,$sum(sK0,$uminus(sK0))) | ~spl12_121), 4.14/0.93 inference(avatar_component_clause,[],[f2121])). 4.14/0.93 tff(f2135,plain,( 4.14/0.93 spl12_123 | ~spl12_120 | ~spl12_122), 4.14/0.93 inference(avatar_split_clause,[],[f2130,f2126,f2116,f2132])). 4.14/0.93 tff(f2132,plain,( 4.14/0.93 spl12_123 <=> 0 = min(0,$sum(sK0,$uminus(sK0)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_123])])). 4.14/0.93 tff(f2116,plain,( 4.14/0.93 spl12_120 <=> 0 = min($sum(sK0,$uminus(sK0)),0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_120])])). 4.14/0.93 tff(f2126,plain,( 4.14/0.93 spl12_122 <=> min($sum(sK0,$uminus(sK0)),0) = min(0,$sum(sK0,$uminus(sK0)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_122])])). 4.14/0.93 tff(f2130,plain,( 4.14/0.93 0 = min(0,$sum(sK0,$uminus(sK0))) | (~spl12_120 | ~spl12_122)), 4.14/0.93 inference(backward_demodulation,[],[f2128,f2118])). 4.14/0.93 tff(f2118,plain,( 4.14/0.93 0 = min($sum(sK0,$uminus(sK0)),0) | ~spl12_120), 4.14/0.93 inference(avatar_component_clause,[],[f2116])). 4.14/0.93 tff(f2128,plain,( 4.14/0.93 min($sum(sK0,$uminus(sK0)),0) = min(0,$sum(sK0,$uminus(sK0))) | ~spl12_122), 4.14/0.93 inference(avatar_component_clause,[],[f2126])). 4.14/0.93 tff(f2129,plain,( 4.14/0.93 spl12_122 | spl12_26), 4.14/0.93 inference(avatar_split_clause,[],[f2101,f681,f2126])). 4.14/0.93 tff(f681,plain,( 4.14/0.93 spl12_26 <=> $less($sum(sK0,$uminus(sK0)),0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_26])])). 4.14/0.93 tff(f2101,plain,( 4.14/0.93 min($sum(sK0,$uminus(sK0)),0) = min(0,$sum(sK0,$uminus(sK0))) | spl12_26), 4.14/0.93 inference(resolution,[],[f683,f370])). 4.14/0.93 tff(f683,plain,( 4.14/0.93 ~$less($sum(sK0,$uminus(sK0)),0) | spl12_26), 4.14/0.93 inference(avatar_component_clause,[],[f681])). 4.14/0.93 tff(f2124,plain,( 4.14/0.93 spl12_121 | spl12_26), 4.14/0.93 inference(avatar_split_clause,[],[f2100,f681,f2121])). 4.14/0.93 tff(f2100,plain,( 4.14/0.93 max($sum(sK0,$uminus(sK0)),0) = max(0,$sum(sK0,$uminus(sK0))) | spl12_26), 4.14/0.93 inference(resolution,[],[f683,f369])). 4.14/0.93 tff(f2119,plain,( 4.14/0.93 spl12_120 | spl12_26), 4.14/0.93 inference(avatar_split_clause,[],[f2099,f681,f2116])). 4.14/0.93 tff(f2099,plain,( 4.14/0.93 0 = min($sum(sK0,$uminus(sK0)),0) | spl12_26), 4.14/0.93 inference(resolution,[],[f683,f368])). 4.14/0.93 tff(f2114,plain,( 4.14/0.93 spl12_119 | spl12_26), 4.14/0.93 inference(avatar_split_clause,[],[f2098,f681,f2111])). 4.14/0.93 tff(f2098,plain,( 4.14/0.93 $sum(sK0,$uminus(sK0)) = max($sum(sK0,$uminus(sK0)),0) | spl12_26), 4.14/0.93 inference(resolution,[],[f683,f367])). 4.14/0.93 tff(f2023,plain,( 4.14/0.93 spl12_118 | ~spl12_113 | ~spl12_115), 4.14/0.93 inference(avatar_split_clause,[],[f2018,f2003,f1993,f2020])). 4.14/0.93 tff(f2020,plain,( 4.14/0.93 spl12_118 <=> sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_118])])). 4.14/0.93 tff(f1993,plain,( 4.14/0.93 spl12_113 <=> sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_113])])). 4.14/0.93 tff(f2003,plain,( 4.14/0.93 spl12_115 <=> max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_115])])). 4.14/0.93 tff(f2018,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | (~spl12_113 | ~spl12_115)), 4.14/0.93 inference(backward_demodulation,[],[f2005,f1995])). 4.14/0.93 tff(f1995,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_113), 4.14/0.93 inference(avatar_component_clause,[],[f1993])). 4.14/0.93 tff(f2005,plain,( 4.14/0.93 max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_115), 4.14/0.93 inference(avatar_component_clause,[],[f2003])). 4.14/0.93 tff(f2017,plain,( 4.14/0.93 spl12_117 | ~spl12_114 | ~spl12_116), 4.14/0.93 inference(avatar_split_clause,[],[f2012,f2008,f1998,f2014])). 4.14/0.93 tff(f2014,plain,( 4.14/0.93 spl12_117 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_117])])). 4.14/0.93 tff(f1998,plain,( 4.14/0.93 spl12_114 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_114])])). 4.14/0.93 tff(f2008,plain,( 4.14/0.93 spl12_116 <=> min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_116])])). 4.14/0.93 tff(f2012,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | (~spl12_114 | ~spl12_116)), 4.14/0.93 inference(backward_demodulation,[],[f2010,f2000])). 4.14/0.93 tff(f2000,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_114), 4.14/0.93 inference(avatar_component_clause,[],[f1998])). 4.14/0.93 tff(f2010,plain,( 4.14/0.93 min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_116), 4.14/0.93 inference(avatar_component_clause,[],[f2008])). 4.14/0.93 tff(f2011,plain,( 4.14/0.93 spl12_116 | spl12_18), 4.14/0.93 inference(avatar_split_clause,[],[f1979,f612,f2008])). 4.14/0.93 tff(f612,plain,( 4.14/0.93 spl12_18 <=> $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_18])])). 4.14/0.93 tff(f1979,plain,( 4.14/0.93 min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_18), 4.14/0.93 inference(resolution,[],[f614,f370])). 4.14/0.93 tff(f614,plain,( 4.14/0.93 ~$less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_18), 4.14/0.93 inference(avatar_component_clause,[],[f612])). 4.14/0.93 tff(f2006,plain,( 4.14/0.93 spl12_115 | spl12_18), 4.14/0.93 inference(avatar_split_clause,[],[f1978,f612,f2003])). 4.14/0.93 tff(f1978,plain,( 4.14/0.93 max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_18), 4.14/0.93 inference(resolution,[],[f614,f369])). 4.14/0.93 tff(f2001,plain,( 4.14/0.93 spl12_114 | spl12_18), 4.14/0.93 inference(avatar_split_clause,[],[f1977,f612,f1998])). 4.14/0.93 tff(f1977,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_18), 4.14/0.93 inference(resolution,[],[f614,f368])). 4.14/0.93 tff(f1996,plain,( 4.14/0.93 spl12_113 | spl12_18), 4.14/0.93 inference(avatar_split_clause,[],[f1976,f612,f1993])). 4.14/0.93 tff(f1976,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_18), 4.14/0.93 inference(resolution,[],[f614,f367])). 4.14/0.93 tff(f1991,plain,( 4.14/0.93 ~spl12_112 | spl12_18 | ~spl12_19), 4.14/0.93 inference(avatar_split_clause,[],[f1975,f617,f612,f1988])). 4.14/0.93 tff(f1988,plain,( 4.14/0.93 spl12_112 <=> $sum(sK2,1) = sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_112])])). 4.14/0.93 tff(f617,plain,( 4.14/0.93 spl12_19 <=> $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_19])])). 4.14/0.93 tff(f1975,plain,( 4.14/0.93 $sum(sK2,1) != sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) | (spl12_18 | ~spl12_19)), 4.14/0.93 inference(constrained_resolution,[],[f614,f619])). 4.14/0.93 tff(f619,plain,( 4.14/0.93 $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1)) | ~spl12_19), 4.14/0.93 inference(avatar_component_clause,[],[f617])). 4.14/0.93 tff(f1943,plain,( 4.14/0.93 spl12_110 | ~spl12_111 | spl12_2 | spl12_33), 4.14/0.93 inference(avatar_split_clause,[],[f1912,f772,f480,f1940,f1937])). 4.14/0.93 tff(f1937,plain,( 4.14/0.93 spl12_110 <=> ! [X91 : ty,X93 : uni,X92 : uni] : occ1(X91,X92,X93,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK0) = $sum(occ1(X91,X92,X93,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0),occ1(X91,X92,X93,0,sK0))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_110])])). 4.14/0.93 tff(f1940,plain,( 4.14/0.93 spl12_111 <=> 0 = sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_111])])). 4.14/0.93 tff(f480,plain,( 4.14/0.93 spl12_2 <=> $less(sK0,0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_2])])). 4.14/0.93 tff(f772,plain,( 4.14/0.93 spl12_33 <=> $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_33])])). 4.14/0.93 tff(f1912,plain,( 4.14/0.93 ( ! [X92:uni,X93:uni,X91:ty] : (0 != sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | occ1(X91,X92,X93,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK0) = $sum(occ1(X91,X92,X93,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0),occ1(X91,X92,X93,0,sK0))) ) | (spl12_2 | spl12_33)), 4.14/0.93 inference(constrained_resolution,[],[f512,f774])). 4.14/0.93 tff(f774,plain,( 4.14/0.93 ~$less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_33), 4.14/0.93 inference(avatar_component_clause,[],[f772])). 4.14/0.93 tff(f512,plain,( 4.14/0.93 ( ! [X30:uni,X28:$int,X31:uni,X29:ty] : ($less(0,X28) | occ1(X29,X30,X31,X28,sK0) = $sum(occ1(X29,X30,X31,X28,0),occ1(X29,X30,X31,0,sK0))) ) | spl12_2), 4.14/0.93 inference(resolution,[],[f482,f448])). 4.14/0.93 tff(f448,plain,( 4.14/0.93 ( ! [X4:$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))) )), 4.14/0.93 inference(cnf_transformation,[],[f314])). 4.14/0.93 tff(f314,plain,( 4.14/0.93 ! [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))), 4.14/0.93 inference(flattening,[],[f313])). 4.14/0.93 tff(f313,plain,( 4.14/0.93 ! [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)))), 4.14/0.93 inference(ennf_transformation,[],[f232])). 4.14/0.93 tff(f232,plain,( 4.14/0.93 ! [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)))), 4.14/0.93 inference(rectify,[],[f137])). 4.14/0.93 tff(f137,plain,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X29 : $int,X5 : $int] : ((~$less(X29,X10) & ~$less(X5,X29)) => occ1(X0,X15,X9,X10,X5) = $sum(occ1(X0,X15,X9,X10,X29),occ1(X0,X15,X9,X29,X5)))), 4.14/0.93 inference(theory_normalization,[],[f82])). 4.14/0.93 tff(f82,axiom,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X29 : $int,X5 : $int] : (($lesseq(X10,X29) & $lesseq(X29,X5)) => occ1(X0,X15,X9,X10,X5) = $sum(occ1(X0,X15,X9,X10,X29),occ1(X0,X15,X9,X29,X5)))), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_append)). 4.14/0.93 tff(f482,plain,( 4.14/0.93 ~$less(sK0,0) | spl12_2), 4.14/0.93 inference(avatar_component_clause,[],[f480])). 4.14/0.93 tff(f1935,plain,( 4.14/0.93 ~spl12_108 | spl12_109 | spl12_2 | spl12_4 | spl12_20), 4.14/0.93 inference(avatar_split_clause,[],[f1927,f622,f490,f480,f1933,f1929])). 4.14/0.93 tff(f1929,plain,( 4.14/0.93 spl12_108 <=> 0 = sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_108])])). 4.14/0.93 tff(f1933,plain,( 4.14/0.93 spl12_109 <=> ! [X86 : uni,X85 : ty,X87 : uni] : occ1(X85,X86,X87,sK2,sK0) = $sum(0,occ1(X85,X86,X87,0,sK0))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_109])])). 4.14/0.93 tff(f490,plain,( 4.14/0.93 spl12_4 <=> $less(sK2,0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_4])])). 4.14/0.93 tff(f622,plain,( 4.14/0.93 spl12_20 <=> $less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_20])])). 4.14/0.93 tff(f1927,plain,( 4.14/0.93 ( ! [X87:uni,X85:ty,X86:uni] : (occ1(X85,X86,X87,sK2,sK0) = $sum(0,occ1(X85,X86,X87,0,sK0)) | 0 != sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) ) | (spl12_2 | spl12_4 | spl12_20)), 4.14/0.93 inference(forward_demodulation,[],[f1910,f562])). 4.14/0.93 tff(f562,plain,( 4.14/0.93 ( ! [X14:uni,X12:ty,X13:uni] : (0 = occ1(X12,X13,X14,sK2,0)) ) | spl12_4), 4.14/0.93 inference(resolution,[],[f492,f421])). 4.14/0.93 tff(f421,plain,( 4.14/0.93 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(X3,X4) | 0 = occ1(X0,X1,X2,X3,X4)) )), 4.14/0.93 inference(cnf_transformation,[],[f296])). 4.14/0.93 tff(f296,plain,( 4.14/0.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | $less(X3,X4))), 4.14/0.93 inference(ennf_transformation,[],[f219])). 4.14/0.93 tff(f219,plain,( 4.14/0.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X3,X4) => 0 = occ1(X0,X1,X2,X3,X4))), 4.14/0.93 inference(rectify,[],[f129])). 4.14/0.93 tff(f129,plain,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : (~$less(X10,X5) => 0 = occ1(X0,X15,X9,X10,X5))), 4.14/0.93 inference(theory_normalization,[],[f66])). 4.14/0.93 tff(f66,axiom,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : ($lesseq(X5,X10) => 0 = occ1(X0,X15,X9,X10,X5))), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_empty)). 4.14/0.93 tff(f492,plain,( 4.14/0.93 ~$less(sK2,0) | spl12_4), 4.14/0.93 inference(avatar_component_clause,[],[f490])). 4.14/0.93 tff(f1910,plain,( 4.14/0.93 ( ! [X87:uni,X85:ty,X86:uni] : (0 != sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) | occ1(X85,X86,X87,sK2,sK0) = $sum(occ1(X85,X86,X87,sK2,0),occ1(X85,X86,X87,0,sK0))) ) | (spl12_2 | spl12_20)), 4.14/0.93 inference(constrained_resolution,[],[f512,f624])). 4.14/0.93 tff(f624,plain,( 4.14/0.93 ~$less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl12_20), 4.14/0.93 inference(avatar_component_clause,[],[f622])). 4.14/0.93 tff(f1926,plain,( 4.14/0.93 spl12_106 | spl12_107 | spl12_2), 4.14/0.93 inference(avatar_split_clause,[],[f1913,f480,f1924,f1920])). 4.14/0.93 tff(f1920,plain,( 4.14/0.93 spl12_106 <=> 0 = abs(0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_106])])). 4.14/0.93 tff(f1924,plain,( 4.14/0.93 spl12_107 <=> ! [X60 : ty,X62 : uni,X61 : uni] : occ1(X60,X61,X62,0,sK0) = $sum(occ1(X60,X61,X62,0,0),occ1(X60,X61,X62,0,sK0))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_107])])). 4.14/0.93 tff(f1913,plain,( 4.14/0.93 ( ! [X61:uni,X62:uni,X60:ty] : (occ1(X60,X61,X62,0,sK0) = $sum(occ1(X60,X61,X62,0,0),occ1(X60,X61,X62,0,sK0)) | 0 = abs(0)) ) | spl12_2), 4.14/0.93 inference(evaluation,[],[f1903])). 4.14/0.93 tff(f1903,plain,( 4.14/0.93 ( ! [X61:uni,X62:uni,X60:ty] : (occ1(X60,X61,X62,0,sK0) = $sum(occ1(X60,X61,X62,0,0),occ1(X60,X61,X62,0,sK0)) | $uminus(0) = abs(0)) ) | spl12_2), 4.14/0.93 inference(resolution,[],[f512,f345])). 4.14/0.93 tff(f345,plain,( 4.14/0.93 ( ! [X0:$int] : (~$less(X0,0) | abs(X0) = $uminus(X0)) )), 4.14/0.93 inference(cnf_transformation,[],[f242])). 4.14/0.93 tff(f242,plain,( 4.14/0.93 ! [X0 : $int] : ((abs(X0) = X0 | $less(X0,0)) & (abs(X0) = $uminus(X0) | ~$less(X0,0)))), 4.14/0.93 inference(ennf_transformation,[],[f158])). 4.14/0.93 tff(f158,plain,( 4.14/0.93 ! [X0 : $int] : ((~$less(X0,0) => abs(X0) = X0) & ($less(X0,0) => abs(X0) = $uminus(X0)))), 4.14/0.93 inference(rectify,[],[f102])). 4.14/0.93 tff(f102,plain,( 4.14/0.93 ! [X6 : $int] : ((~$less(X6,0) => abs(X6) = X6) & ($less(X6,0) => abs(X6) = $uminus(X6)))), 4.14/0.93 inference(theory_normalization,[],[f68])). 4.14/0.93 tff(f68,axiom,( 4.14/0.93 ! [X6 : $int] : (($lesseq(0,X6) => abs(X6) = X6) & (~$lesseq(0,X6) => abs(X6) = $uminus(X6)))), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)). 4.14/0.93 tff(f1918,plain,( 4.14/0.93 ~spl12_91 | spl12_105 | spl12_2 | spl12_4), 4.14/0.93 inference(avatar_split_clause,[],[f1914,f490,f480,f1916,f1691])). 4.14/0.93 tff(f1691,plain,( 4.14/0.93 spl12_91 <=> 0 = $sum(sK2,0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_91])])). 4.14/0.93 tff(f1916,plain,( 4.14/0.93 spl12_105 <=> ! [X18 : uni,X20 : ty,X22 : uni,X17 : ty,X19 : uni,X21 : uni] : occ1(X17,X18,X19,occ1(X20,X21,X22,0,sK2),sK0) = $sum(0,occ1(X17,X18,X19,0,sK0))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_105])])). 4.14/0.93 tff(f1914,plain,( 4.14/0.93 ( ! [X21:uni,X19:uni,X17:ty,X22:uni,X20:ty,X18:uni] : (occ1(X17,X18,X19,occ1(X20,X21,X22,0,sK2),sK0) = $sum(0,occ1(X17,X18,X19,0,sK0)) | 0 != $sum(sK2,0)) ) | (spl12_2 | spl12_4)), 4.14/0.93 inference(forward_demodulation,[],[f1895,f1288])). 4.14/0.93 tff(f1288,plain,( 4.14/0.93 ( ! [X54:ty,X52:uni,X56:uni,X55:uni,X53:uni,X51:ty] : (0 = occ1(X51,X52,X53,occ1(X54,X55,X56,0,sK2),0)) ) | spl12_4), 4.14/0.93 inference(resolution,[],[f563,f421])). 4.14/0.93 tff(f563,plain,( 4.14/0.93 ( ! [X17:uni,X15:ty,X16:uni] : (~$less(occ1(X15,X16,X17,0,sK2),0)) ) | spl12_4), 4.14/0.93 inference(resolution,[],[f492,f422])). 4.14/0.93 tff(f422,plain,( 4.14/0.93 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(X4,X3) | ~$less(occ1(X0,X1,X2,X3,X4),0)) )), 4.14/0.93 inference(cnf_transformation,[],[f297])). 4.14/0.93 tff(f297,plain,( 4.14/0.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)) | $less(X4,X3))), 4.14/0.93 inference(ennf_transformation,[],[f220])). 4.14/0.93 tff(f220,plain,( 4.14/0.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X4,X3) => (~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)))), 4.14/0.93 inference(rectify,[],[f130])). 4.14/0.93 tff(f130,plain,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : (~$less(X5,X10) => (~$less($sum(X5,$uminus(X10)),occ1(X0,X15,X9,X10,X5)) & ~$less(occ1(X0,X15,X9,X10,X5),0)))), 4.14/0.93 inference(theory_normalization,[],[f14])). 4.14/0.93 tff(f14,axiom,( 4.14/0.93 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : ($lesseq(X10,X5) => ($lesseq(occ1(X0,X15,X9,X10,X5),$difference(X5,X10)) & $lesseq(0,occ1(X0,X15,X9,X10,X5))))), 4.14/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_bounds)). 4.14/0.93 tff(f1895,plain,( 4.14/0.93 ( ! [X21:uni,X19:uni,X17:ty,X22:uni,X20:ty,X18:uni] : (0 != $sum(sK2,0) | occ1(X17,X18,X19,occ1(X20,X21,X22,0,sK2),sK0) = $sum(occ1(X17,X18,X19,occ1(X20,X21,X22,0,sK2),0),occ1(X17,X18,X19,0,sK0))) ) | (spl12_2 | spl12_4)), 4.14/0.93 inference(constrained_resolution,[],[f512,f568])). 4.14/0.93 tff(f568,plain,( 4.14/0.93 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK2,0),occ1(X18,X19,X20,0,sK2))) ) | spl12_4), 4.14/0.93 inference(evaluation,[],[f564])). 4.14/0.93 tff(f564,plain,( 4.14/0.93 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK2,$uminus(0)),occ1(X18,X19,X20,0,sK2))) ) | spl12_4), 4.14/0.93 inference(resolution,[],[f492,f423])). 4.14/0.93 tff(f423,plain,( 4.14/0.93 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(X4,X3) | ~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4))) )), 4.14/0.93 inference(cnf_transformation,[],[f297])). 4.14/0.93 tff(f1884,plain,( 4.14/0.93 spl12_104 | ~spl12_99 | ~spl12_101), 4.14/0.93 inference(avatar_split_clause,[],[f1879,f1864,f1854,f1881])). 4.14/0.93 tff(f1881,plain,( 4.14/0.93 spl12_104 <=> sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_104])])). 4.14/0.93 tff(f1854,plain,( 4.14/0.93 spl12_99 <=> sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_99])])). 4.14/0.93 tff(f1864,plain,( 4.14/0.93 spl12_101 <=> max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_101])])). 4.14/0.93 tff(f1879,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (~spl12_99 | ~spl12_101)), 4.14/0.93 inference(backward_demodulation,[],[f1866,f1856])). 4.14/0.93 tff(f1856,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_99), 4.14/0.93 inference(avatar_component_clause,[],[f1854])). 4.14/0.93 tff(f1866,plain,( 4.14/0.93 max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_101), 4.14/0.93 inference(avatar_component_clause,[],[f1864])). 4.14/0.93 tff(f1878,plain,( 4.14/0.93 spl12_103 | ~spl12_100 | ~spl12_102), 4.14/0.93 inference(avatar_split_clause,[],[f1873,f1869,f1859,f1875])). 4.14/0.93 tff(f1875,plain,( 4.14/0.93 spl12_103 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_103])])). 4.14/0.93 tff(f1859,plain,( 4.14/0.93 spl12_100 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_100])])). 4.14/0.93 tff(f1869,plain,( 4.14/0.93 spl12_102 <=> min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_102])])). 4.14/0.93 tff(f1873,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (~spl12_100 | ~spl12_102)), 4.14/0.93 inference(backward_demodulation,[],[f1871,f1861])). 4.14/0.93 tff(f1861,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_100), 4.14/0.93 inference(avatar_component_clause,[],[f1859])). 4.14/0.93 tff(f1871,plain,( 4.14/0.93 min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_102), 4.14/0.93 inference(avatar_component_clause,[],[f1869])). 4.14/0.93 tff(f1872,plain,( 4.14/0.93 spl12_102 | spl12_33), 4.14/0.93 inference(avatar_split_clause,[],[f1846,f772,f1869])). 4.14/0.93 tff(f1846,plain,( 4.14/0.93 min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_33), 4.14/0.93 inference(resolution,[],[f774,f370])). 4.14/0.93 tff(f1867,plain,( 4.14/0.93 spl12_101 | spl12_33), 4.14/0.93 inference(avatar_split_clause,[],[f1845,f772,f1864])). 4.14/0.93 tff(f1845,plain,( 4.14/0.93 max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_33), 4.14/0.93 inference(resolution,[],[f774,f369])). 4.14/0.93 tff(f1862,plain,( 4.14/0.93 spl12_100 | spl12_33), 4.14/0.93 inference(avatar_split_clause,[],[f1844,f772,f1859])). 4.14/0.93 tff(f1844,plain,( 4.14/0.93 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = min(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_33), 4.14/0.93 inference(resolution,[],[f774,f368])). 4.14/0.93 tff(f1857,plain,( 4.14/0.93 spl12_99 | spl12_33), 4.14/0.93 inference(avatar_split_clause,[],[f1843,f772,f1854])). 4.14/0.93 tff(f1843,plain,( 4.14/0.93 sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_33), 4.14/0.93 inference(resolution,[],[f774,f367])). 4.14/0.93 tff(f1769,plain,( 4.14/0.93 ~spl12_98 | spl12_2 | ~spl12_3 | spl12_4), 4.14/0.93 inference(avatar_split_clause,[],[f1764,f490,f485,f480,f1766])). 4.14/0.93 tff(f1766,plain,( 4.14/0.93 spl12_98 <=> 0 = $sum(sK0,0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_98])])). 4.14/0.93 tff(f485,plain,( 4.14/0.93 spl12_3 <=> $less(sK2,sK0)), 4.14/0.93 introduced(avatar_definition,[new_symbols(naming,[spl12_3])])). 4.14/0.93 tff(f1764,plain,( 4.14/0.93 0 != $sum(sK0,0) | (spl12_2 | ~spl12_3 | spl12_4)), 4.14/0.93 inference(subsumption_resolution,[],[f1743,f487])). 4.14/0.93 tff(f487,plain,( 4.14/0.93 $less(sK2,sK0) | ~spl12_3), 4.14/0.93 inference(avatar_component_clause,[],[f485])). 4.14/0.93 tff(f1743,plain,( 4.14/0.93 0 != $sum(sK0,0) | ~$less(sK2,sK0) | (spl12_2 | spl12_4)), 4.14/0.93 inference(constrained_resolution,[],[f565,f513])). 4.14/0.93 tff(f513,plain,( 4.14/0.93 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK0,0),occ1(X18,X19,X20,0,sK0))) ) | spl12_2), 4.14/0.93 inference(evaluation,[],[f509])). 4.14/0.93 tff(f509,plain,( 4.14/0.93 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK0,$uminus(0)),occ1(X18,X19,X20,0,sK0))) ) | spl12_2), 4.14/0.93 inference(resolution,[],[f482,f423])). 4.14/0.93 tff(f565,plain,( 4.14/0.93 ( ! [X23:uni,X21:$int,X22:ty] : ($less(0,occ1(X22,get(X22,int,X23,t2tb(sK2)),X23,0,X21)) | ~$less(sK2,X21)) ) | spl12_4), 4.14/0.93 inference(resolution,[],[f492,f425])). 4.14/0.93 tff(f425,plain,( 4.14/0.93 ( ! [X4:$int,X2:$int,X0:ty,X3:$int,X1:uni] : ($less(X4,X2) | ~$less(X4,X3) | $less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3))) )), 4.14/0.93 inference(cnf_transformation,[],[f300])). 4.14/0.93 tff(f300,plain,( 4.14/0.93 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | $less(X4,X2) | ~$less(X4,X3))), 4.14/0.93 inference(flattening,[],[f299])). 4.14/0.94 tff(f299,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | ($less(X4,X2) | ~$less(X4,X3)))), 4.14/0.94 inference(ennf_transformation,[],[f222])). 4.14/0.94 tff(f222,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X4,X2) & $less(X4,X3)) => $less(0,occ1(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)))), 4.14/0.94 inference(rectify,[],[f131])). 4.14/0.94 tff(f131,plain,( 4.14/0.94 ! [X0 : ty,X9 : uni,X10 : $int,X5 : $int,X11 : $int] : ((~$less(X11,X10) & $less(X11,X5)) => $less(0,occ1(X0,get(X0,int,X9,t2tb(X11)),X9,X10,X5)))), 4.14/0.94 inference(theory_normalization,[],[f5])). 4.14/0.94 tff(f5,axiom,( 4.14/0.94 ! [X0 : ty,X9 : uni,X10 : $int,X5 : $int,X11 : $int] : (($lesseq(X10,X11) & $less(X11,X5)) => $less(0,occ1(X0,get(X0,int,X9,t2tb(X11)),X9,X10,X5)))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_pos)). 4.14/0.94 tff(f1742,plain,( 4.14/0.94 spl12_97 | ~spl12_92 | ~spl12_94), 4.14/0.94 inference(avatar_split_clause,[],[f1737,f1722,f1712,f1739])). 4.14/0.94 tff(f1739,plain,( 4.14/0.94 spl12_97 <=> sK0 = max(sK2,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_97])])). 4.14/0.94 tff(f1712,plain,( 4.14/0.94 spl12_92 <=> sK0 = max(sK0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_92])])). 4.14/0.94 tff(f1722,plain,( 4.14/0.94 spl12_94 <=> max(sK2,sK0) = max(sK0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_94])])). 4.14/0.94 tff(f1737,plain,( 4.14/0.94 sK0 = max(sK2,sK0) | (~spl12_92 | ~spl12_94)), 4.14/0.94 inference(backward_demodulation,[],[f1724,f1714])). 4.14/0.94 tff(f1714,plain,( 4.14/0.94 sK0 = max(sK0,sK2) | ~spl12_92), 4.14/0.94 inference(avatar_component_clause,[],[f1712])). 4.14/0.94 tff(f1724,plain,( 4.14/0.94 max(sK2,sK0) = max(sK0,sK2) | ~spl12_94), 4.14/0.94 inference(avatar_component_clause,[],[f1722])). 4.14/0.94 tff(f1736,plain,( 4.14/0.94 spl12_96 | ~spl12_93 | ~spl12_95), 4.14/0.94 inference(avatar_split_clause,[],[f1731,f1727,f1717,f1733])). 4.14/0.94 tff(f1733,plain,( 4.14/0.94 spl12_96 <=> sK2 = min(sK2,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_96])])). 4.14/0.94 tff(f1717,plain,( 4.14/0.94 spl12_93 <=> sK2 = min(sK0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_93])])). 4.14/0.94 tff(f1727,plain,( 4.14/0.94 spl12_95 <=> min(sK0,sK2) = min(sK2,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_95])])). 4.14/0.94 tff(f1731,plain,( 4.14/0.94 sK2 = min(sK2,sK0) | (~spl12_93 | ~spl12_95)), 4.14/0.94 inference(backward_demodulation,[],[f1729,f1719])). 4.14/0.94 tff(f1719,plain,( 4.14/0.94 sK2 = min(sK0,sK2) | ~spl12_93), 4.14/0.94 inference(avatar_component_clause,[],[f1717])). 4.14/0.94 tff(f1729,plain,( 4.14/0.94 min(sK0,sK2) = min(sK2,sK0) | ~spl12_95), 4.14/0.94 inference(avatar_component_clause,[],[f1727])). 4.14/0.94 tff(f1730,plain,( 4.14/0.94 spl12_95 | spl12_90), 4.14/0.94 inference(avatar_split_clause,[],[f1704,f1687,f1727])). 4.14/0.94 tff(f1687,plain,( 4.14/0.94 spl12_90 <=> $less(sK0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_90])])). 4.14/0.94 tff(f1704,plain,( 4.14/0.94 min(sK0,sK2) = min(sK2,sK0) | spl12_90), 4.14/0.94 inference(resolution,[],[f1689,f370])). 4.14/0.94 tff(f1689,plain,( 4.14/0.94 ~$less(sK0,sK2) | spl12_90), 4.14/0.94 inference(avatar_component_clause,[],[f1687])). 4.14/0.94 tff(f1725,plain,( 4.14/0.94 spl12_94 | spl12_90), 4.14/0.94 inference(avatar_split_clause,[],[f1703,f1687,f1722])). 4.14/0.94 tff(f1703,plain,( 4.14/0.94 max(sK2,sK0) = max(sK0,sK2) | spl12_90), 4.14/0.94 inference(resolution,[],[f1689,f369])). 4.14/0.94 tff(f1720,plain,( 4.14/0.94 spl12_93 | spl12_90), 4.14/0.94 inference(avatar_split_clause,[],[f1702,f1687,f1717])). 4.14/0.94 tff(f1702,plain,( 4.14/0.94 sK2 = min(sK0,sK2) | spl12_90), 4.14/0.94 inference(resolution,[],[f1689,f368])). 4.14/0.94 tff(f1715,plain,( 4.14/0.94 spl12_92 | spl12_90), 4.14/0.94 inference(avatar_split_clause,[],[f1701,f1687,f1712])). 4.14/0.94 tff(f1701,plain,( 4.14/0.94 sK0 = max(sK0,sK2) | spl12_90), 4.14/0.94 inference(resolution,[],[f1689,f367])). 4.14/0.94 tff(f1694,plain,( 4.14/0.94 ~spl12_90 | ~spl12_91 | spl12_2 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f1666,f490,f480,f1691,f1687])). 4.14/0.94 tff(f1666,plain,( 4.14/0.94 0 != $sum(sK2,0) | ~$less(sK0,sK2) | (spl12_2 | spl12_4)), 4.14/0.94 inference(constrained_resolution,[],[f510,f568])). 4.14/0.94 tff(f510,plain,( 4.14/0.94 ( ! [X23:uni,X21:$int,X22:ty] : ($less(0,occ1(X22,get(X22,int,X23,t2tb(sK0)),X23,0,X21)) | ~$less(sK0,X21)) ) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f425])). 4.14/0.94 tff(f1651,plain,( 4.14/0.94 spl12_89 | ~spl12_84 | ~spl12_86), 4.14/0.94 inference(avatar_split_clause,[],[f1646,f1631,f1621,f1648])). 4.14/0.94 tff(f1648,plain,( 4.14/0.94 spl12_89 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_89])])). 4.14/0.94 tff(f1621,plain,( 4.14/0.94 spl12_84 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_84])])). 4.14/0.94 tff(f1631,plain,( 4.14/0.94 spl12_86 <=> max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = max(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_86])])). 4.14/0.94 tff(f1646,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | (~spl12_84 | ~spl12_86)), 4.14/0.94 inference(backward_demodulation,[],[f1633,f1623])). 4.14/0.94 tff(f1623,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | ~spl12_84), 4.14/0.94 inference(avatar_component_clause,[],[f1621])). 4.14/0.94 tff(f1633,plain,( 4.14/0.94 max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = max(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_86), 4.14/0.94 inference(avatar_component_clause,[],[f1631])). 4.14/0.94 tff(f1645,plain,( 4.14/0.94 spl12_88 | ~spl12_85 | ~spl12_87), 4.14/0.94 inference(avatar_split_clause,[],[f1640,f1636,f1626,f1642])). 4.14/0.94 tff(f1642,plain,( 4.14/0.94 spl12_88 <=> sK2 = min(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_88])])). 4.14/0.94 tff(f1626,plain,( 4.14/0.94 spl12_85 <=> sK2 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_85])])). 4.14/0.94 tff(f1636,plain,( 4.14/0.94 spl12_87 <=> min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = min(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_87])])). 4.14/0.94 tff(f1640,plain,( 4.14/0.94 sK2 = min(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | (~spl12_85 | ~spl12_87)), 4.14/0.94 inference(backward_demodulation,[],[f1638,f1628])). 4.14/0.94 tff(f1628,plain,( 4.14/0.94 sK2 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | ~spl12_85), 4.14/0.94 inference(avatar_component_clause,[],[f1626])). 4.14/0.94 tff(f1638,plain,( 4.14/0.94 min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = min(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | ~spl12_87), 4.14/0.94 inference(avatar_component_clause,[],[f1636])). 4.14/0.94 tff(f1639,plain,( 4.14/0.94 spl12_87 | spl12_20), 4.14/0.94 inference(avatar_split_clause,[],[f1611,f622,f1636])). 4.14/0.94 tff(f1611,plain,( 4.14/0.94 min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = min(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_20), 4.14/0.94 inference(resolution,[],[f624,f370])). 4.14/0.94 tff(f1634,plain,( 4.14/0.94 spl12_86 | spl12_20), 4.14/0.94 inference(avatar_split_clause,[],[f1610,f622,f1631])). 4.14/0.94 tff(f1610,plain,( 4.14/0.94 max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) = max(sK2,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_20), 4.14/0.94 inference(resolution,[],[f624,f369])). 4.14/0.94 tff(f1629,plain,( 4.14/0.94 spl12_85 | spl12_20), 4.14/0.94 inference(avatar_split_clause,[],[f1609,f622,f1626])). 4.14/0.94 tff(f1609,plain,( 4.14/0.94 sK2 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl12_20), 4.14/0.94 inference(resolution,[],[f624,f368])). 4.14/0.94 tff(f1624,plain,( 4.14/0.94 spl12_84 | spl12_20), 4.14/0.94 inference(avatar_split_clause,[],[f1608,f622,f1621])). 4.14/0.94 tff(f1608,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl12_20), 4.14/0.94 inference(resolution,[],[f624,f367])). 4.14/0.94 tff(f1595,plain,( 4.14/0.94 spl12_83 | ~spl12_78 | ~spl12_80), 4.14/0.94 inference(avatar_split_clause,[],[f1590,f1575,f1565,f1592])). 4.14/0.94 tff(f1592,plain,( 4.14/0.94 spl12_83 <=> $sum(sK2,0) = max(0,$sum(sK2,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_83])])). 4.14/0.94 tff(f1565,plain,( 4.14/0.94 spl12_78 <=> $sum(sK2,0) = max($sum(sK2,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_78])])). 4.14/0.94 tff(f1575,plain,( 4.14/0.94 spl12_80 <=> max($sum(sK2,0),0) = max(0,$sum(sK2,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_80])])). 4.14/0.94 tff(f1590,plain,( 4.14/0.94 $sum(sK2,0) = max(0,$sum(sK2,0)) | (~spl12_78 | ~spl12_80)), 4.14/0.94 inference(backward_demodulation,[],[f1577,f1567])). 4.14/0.94 tff(f1567,plain,( 4.14/0.94 $sum(sK2,0) = max($sum(sK2,0),0) | ~spl12_78), 4.14/0.94 inference(avatar_component_clause,[],[f1565])). 4.14/0.94 tff(f1577,plain,( 4.14/0.94 max($sum(sK2,0),0) = max(0,$sum(sK2,0)) | ~spl12_80), 4.14/0.94 inference(avatar_component_clause,[],[f1575])). 4.14/0.94 tff(f1589,plain,( 4.14/0.94 spl12_82 | ~spl12_79 | ~spl12_81), 4.14/0.94 inference(avatar_split_clause,[],[f1584,f1580,f1570,f1586])). 4.14/0.94 tff(f1586,plain,( 4.14/0.94 spl12_82 <=> 0 = min(0,$sum(sK2,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_82])])). 4.14/0.94 tff(f1570,plain,( 4.14/0.94 spl12_79 <=> 0 = min($sum(sK2,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_79])])). 4.14/0.94 tff(f1580,plain,( 4.14/0.94 spl12_81 <=> min($sum(sK2,0),0) = min(0,$sum(sK2,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_81])])). 4.14/0.94 tff(f1584,plain,( 4.14/0.94 0 = min(0,$sum(sK2,0)) | (~spl12_79 | ~spl12_81)), 4.14/0.94 inference(backward_demodulation,[],[f1582,f1572])). 4.14/0.94 tff(f1572,plain,( 4.14/0.94 0 = min($sum(sK2,0),0) | ~spl12_79), 4.14/0.94 inference(avatar_component_clause,[],[f1570])). 4.14/0.94 tff(f1582,plain,( 4.14/0.94 min($sum(sK2,0),0) = min(0,$sum(sK2,0)) | ~spl12_81), 4.14/0.94 inference(avatar_component_clause,[],[f1580])). 4.14/0.94 tff(f1583,plain,( 4.14/0.94 spl12_81 | spl12_69), 4.14/0.94 inference(avatar_split_clause,[],[f1555,f1463,f1580])). 4.14/0.94 tff(f1463,plain,( 4.14/0.94 spl12_69 <=> $less($sum(sK2,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_69])])). 4.14/0.94 tff(f1555,plain,( 4.14/0.94 min($sum(sK2,0),0) = min(0,$sum(sK2,0)) | spl12_69), 4.14/0.94 inference(resolution,[],[f1465,f370])). 4.14/0.94 tff(f1465,plain,( 4.14/0.94 ~$less($sum(sK2,0),0) | spl12_69), 4.14/0.94 inference(avatar_component_clause,[],[f1463])). 4.14/0.94 tff(f1578,plain,( 4.14/0.94 spl12_80 | spl12_69), 4.14/0.94 inference(avatar_split_clause,[],[f1554,f1463,f1575])). 4.14/0.94 tff(f1554,plain,( 4.14/0.94 max($sum(sK2,0),0) = max(0,$sum(sK2,0)) | spl12_69), 4.14/0.94 inference(resolution,[],[f1465,f369])). 4.14/0.94 tff(f1573,plain,( 4.14/0.94 spl12_79 | spl12_69), 4.14/0.94 inference(avatar_split_clause,[],[f1553,f1463,f1570])). 4.14/0.94 tff(f1553,plain,( 4.14/0.94 0 = min($sum(sK2,0),0) | spl12_69), 4.14/0.94 inference(resolution,[],[f1465,f368])). 4.14/0.94 tff(f1568,plain,( 4.14/0.94 spl12_78 | spl12_69), 4.14/0.94 inference(avatar_split_clause,[],[f1552,f1463,f1565])). 4.14/0.94 tff(f1552,plain,( 4.14/0.94 $sum(sK2,0) = max($sum(sK2,0),0) | spl12_69), 4.14/0.94 inference(resolution,[],[f1465,f367])). 4.14/0.94 tff(f1542,plain,( 4.14/0.94 ~spl12_77 | ~spl12_71 | spl12_73), 4.14/0.94 inference(avatar_split_clause,[],[f1541,f1506,f1496,f1533])). 4.14/0.94 tff(f1533,plain,( 4.14/0.94 spl12_77 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_77])])). 4.14/0.94 tff(f1496,plain,( 4.14/0.94 spl12_71 <=> sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_71])])). 4.14/0.94 tff(f1506,plain,( 4.14/0.94 spl12_73 <=> max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_73])])). 4.14/0.94 tff(f1541,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) != max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (~spl12_71 | spl12_73)), 4.14/0.94 inference(forward_demodulation,[],[f1507,f1498])). 4.14/0.94 tff(f1498,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | ~spl12_71), 4.14/0.94 inference(avatar_component_clause,[],[f1496])). 4.14/0.94 tff(f1507,plain,( 4.14/0.94 max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) != max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_73), 4.14/0.94 inference(avatar_component_clause,[],[f1506])). 4.14/0.94 tff(f1540,plain,( 4.14/0.94 spl12_77 | spl12_35 | ~spl12_71), 4.14/0.94 inference(avatar_split_clause,[],[f1539,f1496,f782,f1533])). 4.14/0.94 tff(f782,plain,( 4.14/0.94 spl12_35 <=> $less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_35])])). 4.14/0.94 tff(f1539,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (spl12_35 | ~spl12_71)), 4.14/0.94 inference(forward_demodulation,[],[f1486,f1498])). 4.14/0.94 tff(f1486,plain,( 4.14/0.94 max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_35), 4.14/0.94 inference(resolution,[],[f784,f369])). 4.14/0.94 tff(f784,plain,( 4.14/0.94 ~$less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl12_35), 4.14/0.94 inference(avatar_component_clause,[],[f782])). 4.14/0.94 tff(f1538,plain,( 4.14/0.94 spl12_76 | spl12_35 | ~spl12_72), 4.14/0.94 inference(avatar_split_clause,[],[f1537,f1501,f782,f1527])). 4.14/0.94 tff(f1527,plain,( 4.14/0.94 spl12_76 <=> 0 = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_76])])). 4.14/0.94 tff(f1501,plain,( 4.14/0.94 spl12_72 <=> 0 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_72])])). 4.14/0.94 tff(f1537,plain,( 4.14/0.94 0 = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (spl12_35 | ~spl12_72)), 4.14/0.94 inference(forward_demodulation,[],[f1487,f1503])). 4.14/0.94 tff(f1503,plain,( 4.14/0.94 0 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | ~spl12_72), 4.14/0.94 inference(avatar_component_clause,[],[f1501])). 4.14/0.94 tff(f1487,plain,( 4.14/0.94 min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | spl12_35), 4.14/0.94 inference(resolution,[],[f784,f370])). 4.14/0.94 tff(f1536,plain,( 4.14/0.94 spl12_77 | ~spl12_71 | ~spl12_73), 4.14/0.94 inference(avatar_split_clause,[],[f1531,f1506,f1496,f1533])). 4.14/0.94 tff(f1531,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (~spl12_71 | ~spl12_73)), 4.14/0.94 inference(backward_demodulation,[],[f1508,f1498])). 4.14/0.94 tff(f1508,plain,( 4.14/0.94 max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = max(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_73), 4.14/0.94 inference(avatar_component_clause,[],[f1506])). 4.14/0.94 tff(f1530,plain,( 4.14/0.94 spl12_76 | ~spl12_72 | ~spl12_74), 4.14/0.94 inference(avatar_split_clause,[],[f1525,f1511,f1501,f1527])). 4.14/0.94 tff(f1511,plain,( 4.14/0.94 spl12_74 <=> min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_74])])). 4.14/0.94 tff(f1525,plain,( 4.14/0.94 0 = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (~spl12_72 | ~spl12_74)), 4.14/0.94 inference(backward_demodulation,[],[f1513,f1503])). 4.14/0.94 tff(f1513,plain,( 4.14/0.94 min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) = min(0,sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_74), 4.14/0.94 inference(avatar_component_clause,[],[f1511])). 4.14/0.94 tff(f1523,plain,( 4.14/0.94 spl12_75 | ~spl12_35), 4.14/0.94 inference(avatar_split_clause,[],[f1516,f782,f1520])). 4.14/0.94 tff(f1520,plain,( 4.14/0.94 spl12_75 <=> abs(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = $uminus(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_75])])). 4.14/0.94 tff(f1516,plain,( 4.14/0.94 abs(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) = $uminus(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | ~spl12_35), 4.14/0.94 inference(resolution,[],[f783,f345])). 4.14/0.94 tff(f783,plain,( 4.14/0.94 $less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | ~spl12_35), 4.14/0.94 inference(avatar_component_clause,[],[f782])). 4.14/0.94 tff(f1514,plain,( 4.14/0.94 spl12_74 | spl12_35), 4.14/0.94 inference(avatar_split_clause,[],[f1487,f782,f1511])). 4.14/0.94 tff(f1509,plain,( 4.14/0.94 spl12_73 | spl12_35), 4.14/0.94 inference(avatar_split_clause,[],[f1486,f782,f1506])). 4.14/0.94 tff(f1504,plain,( 4.14/0.94 spl12_72 | spl12_35), 4.14/0.94 inference(avatar_split_clause,[],[f1485,f782,f1501])). 4.14/0.94 tff(f1485,plain,( 4.14/0.94 0 = min(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl12_35), 4.14/0.94 inference(resolution,[],[f784,f368])). 4.14/0.94 tff(f1499,plain,( 4.14/0.94 spl12_71 | spl12_35), 4.14/0.94 inference(avatar_split_clause,[],[f1484,f782,f1496])). 4.14/0.94 tff(f1484,plain,( 4.14/0.94 sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) = max(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | spl12_35), 4.14/0.94 inference(resolution,[],[f784,f367])). 4.14/0.94 tff(f1474,plain,( 4.14/0.94 ~spl12_67 | spl12_29 | ~spl12_66), 4.14/0.94 inference(avatar_split_clause,[],[f1471,f1429,f709,f1433])). 4.14/0.94 tff(f1433,plain,( 4.14/0.94 spl12_67 <=> 1 = sK2), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_67])])). 4.14/0.94 tff(f709,plain,( 4.14/0.94 spl12_29 <=> $less(sK2,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_29])])). 4.14/0.94 tff(f1429,plain,( 4.14/0.94 spl12_66 <=> $less(1,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_66])])). 4.14/0.94 tff(f1471,plain,( 4.14/0.94 1 != sK2 | (spl12_29 | ~spl12_66)), 4.14/0.94 inference(constrained_resolution,[],[f1431,f711])). 4.14/0.94 tff(f711,plain,( 4.14/0.94 ~$less(sK2,sK2) | spl12_29), 4.14/0.94 inference(avatar_component_clause,[],[f709])). 4.14/0.94 tff(f1431,plain,( 4.14/0.94 $less(1,sK2) | ~spl12_66), 4.14/0.94 inference(avatar_component_clause,[],[f1429])). 4.14/0.94 tff(f1470,plain,( 4.14/0.94 spl12_70 | ~spl12_69 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f1455,f490,f1463,f1468])). 4.14/0.94 tff(f1468,plain,( 4.14/0.94 spl12_70 <=> ! [X22 : uni,X21 : ty,X23 : uni] : (get(X21,int,X23,t2tb(sK7(X21,X22,X23,0,sK2))) = X22 | ~sort1(X21,X22))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_70])])). 4.14/0.94 tff(f1455,plain,( 4.14/0.94 ( ! [X23:uni,X21:ty,X22:uni] : (~$less($sum(sK2,0),0) | get(X21,int,X23,t2tb(sK7(X21,X22,X23,0,sK2))) = X22 | ~sort1(X21,X22)) ) | spl12_4), 4.14/0.94 inference(superposition,[],[f568,f420])). 4.14/0.94 tff(f420,plain,( 4.14/0.94 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (0 = occ1(X0,X1,X2,X3,X4) | get(X0,int,X2,t2tb(sK7(X0,X1,X2,X3,X4))) = X1 | ~sort1(X0,X1)) )), 4.14/0.94 inference(cnf_transformation,[],[f295])). 4.14/0.94 tff(f295,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3) & $less(X5,X4)) | ~sort1(X0,X1))), 4.14/0.94 inference(flattening,[],[f294])). 4.14/0.94 tff(f294,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((0 = occ1(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & (~$less(X5,X3) & $less(X5,X4)))) | ~sort1(X0,X1))), 4.14/0.94 inference(ennf_transformation,[],[f218])). 4.14/0.94 tff(f218,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (sort1(X0,X1) => (! [X5 : $int] : ((~$less(X5,X3) & $less(X5,X4)) => get(X0,int,X2,t2tb(X5)) != X1) => 0 = occ1(X0,X1,X2,X3,X4)))), 4.14/0.94 inference(rectify,[],[f128])). 4.14/0.94 tff(f128,plain,( 4.14/0.94 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : (sort1(X0,X15) => (! [X11 : $int] : ((~$less(X11,X10) & $less(X11,X5)) => get(X0,int,X9,t2tb(X11)) != X15) => 0 = occ1(X0,X15,X9,X10,X5)))), 4.14/0.94 inference(theory_normalization,[],[f81])). 4.14/0.94 tff(f81,axiom,( 4.14/0.94 ! [X0 : ty,X15 : uni,X9 : uni,X10 : $int,X5 : $int] : (sort1(X0,X15) => (! [X11 : $int] : (($lesseq(X10,X11) & $less(X11,X5)) => get(X0,int,X9,t2tb(X11)) != X15) => 0 = occ1(X0,X15,X9,X10,X5)))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_neq)). 4.14/0.94 tff(f1466,plain,( 4.14/0.94 spl12_68 | ~spl12_69 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f1454,f490,f1463,f1460])). 4.14/0.94 tff(f1460,plain,( 4.14/0.94 spl12_68 <=> ! [X18 : ty,X20 : uni,X19 : uni] : (~$less(sK7(X18,X19,X20,0,sK2),0) | ~sort1(X18,X19))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_68])])). 4.14/0.94 tff(f1454,plain,( 4.14/0.94 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK2,0),0) | ~$less(sK7(X18,X19,X20,0,sK2),0) | ~sort1(X18,X19)) ) | spl12_4), 4.14/0.94 inference(superposition,[],[f568,f419])). 4.14/0.94 tff(f419,plain,( 4.14/0.94 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (0 = occ1(X0,X1,X2,X3,X4) | ~$less(sK7(X0,X1,X2,X3,X4),X3) | ~sort1(X0,X1)) )), 4.14/0.94 inference(cnf_transformation,[],[f295])). 4.14/0.94 tff(f1437,plain,( 4.14/0.94 spl12_66 | spl12_67 | ~spl12_50), 4.14/0.94 inference(avatar_split_clause,[],[f1424,f1156,f1433,f1429])). 4.14/0.94 tff(f1156,plain,( 4.14/0.94 spl12_50 <=> sK2 = max(sK2,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_50])])). 4.14/0.94 tff(f1424,plain,( 4.14/0.94 1 = sK2 | $less(1,sK2) | ~spl12_50), 4.14/0.94 inference(superposition,[],[f365,f1158])). 4.14/0.94 tff(f1158,plain,( 4.14/0.94 sK2 = max(sK2,1) | ~spl12_50), 4.14/0.94 inference(avatar_component_clause,[],[f1156])). 4.14/0.94 tff(f365,plain,( 4.14/0.94 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | $less(X1,X0)) )), 4.14/0.94 inference(cnf_transformation,[],[f249])). 4.14/0.94 tff(f249,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 4.14/0.94 inference(ennf_transformation,[],[f176])). 4.14/0.94 tff(f176,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => max(X0,X1) = X1)), 4.14/0.94 inference(rectify,[],[f107])). 4.14/0.94 tff(f107,plain,( 4.14/0.94 ! [X6 : $int,X7 : $int] : (~$less(X7,X6) => max(X6,X7) = X7)), 4.14/0.94 inference(theory_normalization,[],[f73])). 4.14/0.94 tff(f73,axiom,( 4.14/0.94 ! [X6 : $int,X7 : $int] : ($lesseq(X6,X7) => max(X6,X7) = X7)), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_y)). 4.14/0.94 tff(f1436,plain,( 4.14/0.94 spl12_66 | spl12_67 | ~spl12_50), 4.14/0.94 inference(avatar_split_clause,[],[f1419,f1156,f1433,f1429])). 4.14/0.94 tff(f1419,plain,( 4.14/0.94 1 = sK2 | $less(1,sK2) | ~spl12_50), 4.14/0.94 inference(superposition,[],[f1158,f365])). 4.14/0.94 tff(f1408,plain,( 4.14/0.94 spl12_65 | ~spl12_60 | ~spl12_62), 4.14/0.94 inference(avatar_split_clause,[],[f1403,f1388,f1378,f1405])). 4.14/0.94 tff(f1405,plain,( 4.14/0.94 spl12_65 <=> $sum(sK0,0) = max(0,$sum(sK0,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_65])])). 4.14/0.94 tff(f1378,plain,( 4.14/0.94 spl12_60 <=> $sum(sK0,0) = max($sum(sK0,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_60])])). 4.14/0.94 tff(f1388,plain,( 4.14/0.94 spl12_62 <=> max($sum(sK0,0),0) = max(0,$sum(sK0,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_62])])). 4.14/0.94 tff(f1403,plain,( 4.14/0.94 $sum(sK0,0) = max(0,$sum(sK0,0)) | (~spl12_60 | ~spl12_62)), 4.14/0.94 inference(backward_demodulation,[],[f1390,f1380])). 4.14/0.94 tff(f1380,plain,( 4.14/0.94 $sum(sK0,0) = max($sum(sK0,0),0) | ~spl12_60), 4.14/0.94 inference(avatar_component_clause,[],[f1378])). 4.14/0.94 tff(f1390,plain,( 4.14/0.94 max($sum(sK0,0),0) = max(0,$sum(sK0,0)) | ~spl12_62), 4.14/0.94 inference(avatar_component_clause,[],[f1388])). 4.14/0.94 tff(f1402,plain,( 4.14/0.94 spl12_64 | ~spl12_61 | ~spl12_63), 4.14/0.94 inference(avatar_split_clause,[],[f1397,f1393,f1383,f1399])). 4.14/0.94 tff(f1399,plain,( 4.14/0.94 spl12_64 <=> 0 = min(0,$sum(sK0,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_64])])). 4.14/0.94 tff(f1383,plain,( 4.14/0.94 spl12_61 <=> 0 = min($sum(sK0,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_61])])). 4.14/0.94 tff(f1393,plain,( 4.14/0.94 spl12_63 <=> min($sum(sK0,0),0) = min(0,$sum(sK0,0))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_63])])). 4.14/0.94 tff(f1397,plain,( 4.14/0.94 0 = min(0,$sum(sK0,0)) | (~spl12_61 | ~spl12_63)), 4.14/0.94 inference(backward_demodulation,[],[f1395,f1385])). 4.14/0.94 tff(f1385,plain,( 4.14/0.94 0 = min($sum(sK0,0),0) | ~spl12_61), 4.14/0.94 inference(avatar_component_clause,[],[f1383])). 4.14/0.94 tff(f1395,plain,( 4.14/0.94 min($sum(sK0,0),0) = min(0,$sum(sK0,0)) | ~spl12_63), 4.14/0.94 inference(avatar_component_clause,[],[f1393])). 4.14/0.94 tff(f1396,plain,( 4.14/0.94 spl12_63 | spl12_58), 4.14/0.94 inference(avatar_split_clause,[],[f1368,f1348,f1393])). 4.14/0.94 tff(f1348,plain,( 4.14/0.94 spl12_58 <=> $less($sum(sK0,0),0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_58])])). 4.14/0.94 tff(f1368,plain,( 4.14/0.94 min($sum(sK0,0),0) = min(0,$sum(sK0,0)) | spl12_58), 4.14/0.94 inference(resolution,[],[f1350,f370])). 4.14/0.94 tff(f1350,plain,( 4.14/0.94 ~$less($sum(sK0,0),0) | spl12_58), 4.14/0.94 inference(avatar_component_clause,[],[f1348])). 4.14/0.94 tff(f1391,plain,( 4.14/0.94 spl12_62 | spl12_58), 4.14/0.94 inference(avatar_split_clause,[],[f1367,f1348,f1388])). 4.14/0.94 tff(f1367,plain,( 4.14/0.94 max($sum(sK0,0),0) = max(0,$sum(sK0,0)) | spl12_58), 4.14/0.94 inference(resolution,[],[f1350,f369])). 4.14/0.94 tff(f1386,plain,( 4.14/0.94 spl12_61 | spl12_58), 4.14/0.94 inference(avatar_split_clause,[],[f1366,f1348,f1383])). 4.14/0.94 tff(f1366,plain,( 4.14/0.94 0 = min($sum(sK0,0),0) | spl12_58), 4.14/0.94 inference(resolution,[],[f1350,f368])). 4.14/0.94 tff(f1381,plain,( 4.14/0.94 spl12_60 | spl12_58), 4.14/0.94 inference(avatar_split_clause,[],[f1365,f1348,f1378])). 4.14/0.94 tff(f1365,plain,( 4.14/0.94 $sum(sK0,0) = max($sum(sK0,0),0) | spl12_58), 4.14/0.94 inference(resolution,[],[f1350,f367])). 4.14/0.94 tff(f1355,plain,( 4.14/0.94 spl12_59 | ~spl12_58 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f1340,f480,f1348,f1353])). 4.14/0.94 tff(f1353,plain,( 4.14/0.94 spl12_59 <=> ! [X22 : uni,X21 : ty,X23 : uni] : (get(X21,int,X23,t2tb(sK7(X21,X22,X23,0,sK0))) = X22 | ~sort1(X21,X22))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_59])])). 4.14/0.94 tff(f1340,plain,( 4.14/0.94 ( ! [X23:uni,X21:ty,X22:uni] : (~$less($sum(sK0,0),0) | get(X21,int,X23,t2tb(sK7(X21,X22,X23,0,sK0))) = X22 | ~sort1(X21,X22)) ) | spl12_2), 4.14/0.94 inference(superposition,[],[f513,f420])). 4.14/0.94 tff(f1351,plain,( 4.14/0.94 spl12_57 | ~spl12_58 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f1339,f480,f1348,f1345])). 4.14/0.94 tff(f1345,plain,( 4.14/0.94 spl12_57 <=> ! [X18 : ty,X20 : uni,X19 : uni] : (~$less(sK7(X18,X19,X20,0,sK0),0) | ~sort1(X18,X19))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_57])])). 4.14/0.94 tff(f1339,plain,( 4.14/0.94 ( ! [X19:uni,X20:uni,X18:ty] : (~$less($sum(sK0,0),0) | ~$less(sK7(X18,X19,X20,0,sK0),0) | ~sort1(X18,X19)) ) | spl12_2), 4.14/0.94 inference(superposition,[],[f513,f419])). 4.14/0.94 tff(f1237,plain,( 4.14/0.94 spl12_56 | ~spl12_42 | spl12_49), 4.14/0.94 inference(avatar_split_clause,[],[f1236,f1151,f939,f1232])). 4.14/0.94 tff(f1232,plain,( 4.14/0.94 spl12_56 <=> $less(1,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_56])])). 4.14/0.94 tff(f939,plain,( 4.14/0.94 spl12_42 <=> sK0 = max(sK0,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_42])])). 4.14/0.94 tff(f1151,plain,( 4.14/0.94 spl12_49 <=> 1 = sK0), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_49])])). 4.14/0.94 tff(f1236,plain,( 4.14/0.94 $less(1,sK0) | (~spl12_42 | spl12_49)), 4.14/0.94 inference(subsumption_resolution,[],[f1226,f1153])). 4.14/0.94 tff(f1153,plain,( 4.14/0.94 1 != sK0 | spl12_49), 4.14/0.94 inference(avatar_component_clause,[],[f1151])). 4.14/0.94 % (6652)Time limit reached! 4.14/0.94 % (6652)------------------------------ 4.14/0.94 % (6652)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.14/0.94 % (6652)Termination reason: Time limit 4.14/0.94 4.14/0.94 % (6652)Memory used [KB]: 17014 4.14/0.94 % (6652)Time elapsed: 0.501 s 4.14/0.94 % (6652)------------------------------ 4.14/0.94 % (6652)------------------------------ 4.14/0.94 tff(f1226,plain,( 4.14/0.94 1 = sK0 | $less(1,sK0) | ~spl12_42), 4.14/0.94 inference(superposition,[],[f365,f941])). 4.14/0.94 tff(f941,plain,( 4.14/0.94 sK0 = max(sK0,1) | ~spl12_42), 4.14/0.94 inference(avatar_component_clause,[],[f939])). 4.14/0.94 tff(f1235,plain,( 4.14/0.94 spl12_56 | ~spl12_42 | spl12_49), 4.14/0.94 inference(avatar_split_clause,[],[f1230,f1151,f939,f1232])). 4.14/0.94 tff(f1230,plain,( 4.14/0.94 $less(1,sK0) | (~spl12_42 | spl12_49)), 4.14/0.94 inference(subsumption_resolution,[],[f1221,f1153])). 4.14/0.94 tff(f1221,plain,( 4.14/0.94 1 = sK0 | $less(1,sK0) | ~spl12_42), 4.14/0.94 inference(superposition,[],[f941,f365])). 4.14/0.94 tff(f1186,plain,( 4.14/0.94 spl12_55 | ~spl12_50 | ~spl12_52), 4.14/0.94 inference(avatar_split_clause,[],[f1181,f1166,f1156,f1183])). 4.14/0.94 tff(f1183,plain,( 4.14/0.94 spl12_55 <=> sK2 = max(1,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_55])])). 4.14/0.94 tff(f1166,plain,( 4.14/0.94 spl12_52 <=> max(sK2,1) = max(1,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_52])])). 4.14/0.94 tff(f1181,plain,( 4.14/0.94 sK2 = max(1,sK2) | (~spl12_50 | ~spl12_52)), 4.14/0.94 inference(backward_demodulation,[],[f1168,f1158])). 4.14/0.94 tff(f1168,plain,( 4.14/0.94 max(sK2,1) = max(1,sK2) | ~spl12_52), 4.14/0.94 inference(avatar_component_clause,[],[f1166])). 4.14/0.94 tff(f1180,plain,( 4.14/0.94 spl12_54 | ~spl12_51 | ~spl12_53), 4.14/0.94 inference(avatar_split_clause,[],[f1175,f1171,f1161,f1177])). 4.14/0.94 tff(f1177,plain,( 4.14/0.94 spl12_54 <=> 1 = min(1,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_54])])). 4.14/0.94 tff(f1161,plain,( 4.14/0.94 spl12_51 <=> 1 = min(sK2,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_51])])). 4.14/0.94 tff(f1171,plain,( 4.14/0.94 spl12_53 <=> min(sK2,1) = min(1,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_53])])). 4.14/0.94 tff(f1175,plain,( 4.14/0.94 1 = min(1,sK2) | (~spl12_51 | ~spl12_53)), 4.14/0.94 inference(backward_demodulation,[],[f1173,f1163])). 4.14/0.94 tff(f1163,plain,( 4.14/0.94 1 = min(sK2,1) | ~spl12_51), 4.14/0.94 inference(avatar_component_clause,[],[f1161])). 4.14/0.94 tff(f1173,plain,( 4.14/0.94 min(sK2,1) = min(1,sK2) | ~spl12_53), 4.14/0.94 inference(avatar_component_clause,[],[f1171])). 4.14/0.94 tff(f1174,plain,( 4.14/0.94 spl12_53 | spl12_48), 4.14/0.94 inference(avatar_split_clause,[],[f1142,f1132,f1171])). 4.14/0.94 tff(f1132,plain,( 4.14/0.94 spl12_48 <=> $less(sK2,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_48])])). 4.14/0.94 tff(f1142,plain,( 4.14/0.94 min(sK2,1) = min(1,sK2) | spl12_48), 4.14/0.94 inference(resolution,[],[f1134,f370])). 4.14/0.94 tff(f1134,plain,( 4.14/0.94 ~$less(sK2,1) | spl12_48), 4.14/0.94 inference(avatar_component_clause,[],[f1132])). 4.14/0.94 tff(f1169,plain,( 4.14/0.94 spl12_52 | spl12_48), 4.14/0.94 inference(avatar_split_clause,[],[f1141,f1132,f1166])). 4.14/0.94 tff(f1141,plain,( 4.14/0.94 max(sK2,1) = max(1,sK2) | spl12_48), 4.14/0.94 inference(resolution,[],[f1134,f369])). 4.14/0.94 tff(f1164,plain,( 4.14/0.94 spl12_51 | spl12_48), 4.14/0.94 inference(avatar_split_clause,[],[f1140,f1132,f1161])). 4.14/0.94 tff(f1140,plain,( 4.14/0.94 1 = min(sK2,1) | spl12_48), 4.14/0.94 inference(resolution,[],[f1134,f368])). 4.14/0.94 tff(f1159,plain,( 4.14/0.94 spl12_50 | spl12_48), 4.14/0.94 inference(avatar_split_clause,[],[f1139,f1132,f1156])). 4.14/0.94 tff(f1139,plain,( 4.14/0.94 sK2 = max(sK2,1) | spl12_48), 4.14/0.94 inference(resolution,[],[f1134,f367])). 4.14/0.94 tff(f1154,plain,( 4.14/0.94 ~spl12_49 | ~spl12_3 | spl12_48), 4.14/0.94 inference(avatar_split_clause,[],[f1138,f1132,f485,f1151])). 4.14/0.94 tff(f1138,plain,( 4.14/0.94 1 != sK0 | (~spl12_3 | spl12_48)), 4.14/0.94 inference(constrained_resolution,[],[f1134,f487])). 4.14/0.94 tff(f1137,plain,( 4.14/0.94 ~spl12_48 | spl12_4 | spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f1136,f703,f490,f1132])). 4.14/0.94 tff(f703,plain,( 4.14/0.94 spl12_28 <=> 0 = sK2), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_28])])). 4.14/0.94 tff(f1136,plain,( 4.14/0.94 ~$less(sK2,1) | (spl12_4 | spl12_28)), 4.14/0.94 inference(subsumption_resolution,[],[f1127,f704])). 4.14/0.94 tff(f704,plain,( 4.14/0.94 0 != sK2 | spl12_28), 4.14/0.94 inference(avatar_component_clause,[],[f703])). 4.14/0.94 tff(f1127,plain,( 4.14/0.94 0 = sK2 | ~$less(sK2,1) | spl12_4), 4.14/0.94 inference(superposition,[],[f341,f550])). 4.14/0.94 tff(f550,plain,( 4.14/0.94 ( ! [X1:$int] : (0 = div(sK2,X1) | ~$less(sK2,X1)) ) | spl12_4), 4.14/0.94 inference(resolution,[],[f492,f375])). 4.14/0.94 tff(f375,plain,( 4.14/0.94 ( ! [X0:$int,X1:$int] : ($less(X0,0) | ~$less(X0,X1) | 0 = div(X0,X1)) )), 4.14/0.94 inference(cnf_transformation,[],[f263])). 4.14/0.94 tff(f263,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | ~$less(X0,X1) | $less(X0,0))), 4.14/0.94 inference(flattening,[],[f262])). 4.14/0.94 tff(f262,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | (~$less(X0,X1) | $less(X0,0)))), 4.14/0.94 inference(ennf_transformation,[],[f186])). 4.14/0.94 tff(f186,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => 0 = div(X0,X1))), 4.14/0.94 inference(rectify,[],[f116])). 4.14/0.94 tff(f116,plain,( 4.14/0.94 ! [X6 : $int,X7 : $int] : (($less(X6,X7) & ~$less(X6,0)) => 0 = div(X6,X7))), 4.14/0.94 inference(theory_normalization,[],[f44])). 4.14/0.94 tff(f44,axiom,( 4.14/0.94 ! [X6 : $int,X7 : $int] : (($less(X6,X7) & $lesseq(0,X6)) => 0 = div(X6,X7))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf)). 4.14/0.94 tff(f341,plain,( 4.14/0.94 ( ! [X0:$int] : (div(X0,1) = X0) )), 4.14/0.94 inference(cnf_transformation,[],[f155])). 4.14/0.94 tff(f155,plain,( 4.14/0.94 ! [X0 : $int] : div(X0,1) = X0), 4.14/0.94 inference(rectify,[],[f49])). 4.14/0.94 tff(f49,axiom,( 4.14/0.94 ! [X6 : $int] : div(X6,1) = X6), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_1)). 4.14/0.94 tff(f1135,plain,( 4.14/0.94 ~spl12_48 | spl12_4 | spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f1130,f703,f490,f1132])). 4.14/0.94 tff(f1130,plain,( 4.14/0.94 ~$less(sK2,1) | (spl12_4 | spl12_28)), 4.14/0.94 inference(subsumption_resolution,[],[f1124,f704])). 4.14/0.94 tff(f1124,plain,( 4.14/0.94 0 = sK2 | ~$less(sK2,1) | spl12_4), 4.14/0.94 inference(superposition,[],[f550,f341])). 4.14/0.94 tff(f969,plain,( 4.14/0.94 spl12_47 | ~spl12_42 | ~spl12_44), 4.14/0.94 inference(avatar_split_clause,[],[f964,f949,f939,f966])). 4.14/0.94 tff(f966,plain,( 4.14/0.94 spl12_47 <=> sK0 = max(1,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_47])])). 4.14/0.94 tff(f949,plain,( 4.14/0.94 spl12_44 <=> max(sK0,1) = max(1,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_44])])). 4.14/0.94 tff(f964,plain,( 4.14/0.94 sK0 = max(1,sK0) | (~spl12_42 | ~spl12_44)), 4.14/0.94 inference(backward_demodulation,[],[f951,f941])). 4.14/0.94 tff(f951,plain,( 4.14/0.94 max(sK0,1) = max(1,sK0) | ~spl12_44), 4.14/0.94 inference(avatar_component_clause,[],[f949])). 4.14/0.94 tff(f963,plain,( 4.14/0.94 spl12_46 | ~spl12_43 | ~spl12_45), 4.14/0.94 inference(avatar_split_clause,[],[f958,f954,f944,f960])). 4.14/0.94 tff(f960,plain,( 4.14/0.94 spl12_46 <=> 1 = min(1,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_46])])). 4.14/0.94 tff(f944,plain,( 4.14/0.94 spl12_43 <=> 1 = min(sK0,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_43])])). 4.14/0.94 tff(f954,plain,( 4.14/0.94 spl12_45 <=> min(sK0,1) = min(1,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_45])])). 4.14/0.94 tff(f958,plain,( 4.14/0.94 1 = min(1,sK0) | (~spl12_43 | ~spl12_45)), 4.14/0.94 inference(backward_demodulation,[],[f956,f946])). 4.14/0.94 tff(f946,plain,( 4.14/0.94 1 = min(sK0,1) | ~spl12_43), 4.14/0.94 inference(avatar_component_clause,[],[f944])). 4.14/0.94 tff(f956,plain,( 4.14/0.94 min(sK0,1) = min(1,sK0) | ~spl12_45), 4.14/0.94 inference(avatar_component_clause,[],[f954])). 4.14/0.94 tff(f957,plain,( 4.14/0.94 spl12_45 | spl12_37), 4.14/0.94 inference(avatar_split_clause,[],[f930,f843,f954])). 4.14/0.94 tff(f843,plain,( 4.14/0.94 spl12_37 <=> $less(sK0,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_37])])). 4.14/0.94 tff(f930,plain,( 4.14/0.94 min(sK0,1) = min(1,sK0) | spl12_37), 4.14/0.94 inference(resolution,[],[f845,f370])). 4.14/0.94 tff(f845,plain,( 4.14/0.94 ~$less(sK0,1) | spl12_37), 4.14/0.94 inference(avatar_component_clause,[],[f843])). 4.14/0.94 tff(f952,plain,( 4.14/0.94 spl12_44 | spl12_37), 4.14/0.94 inference(avatar_split_clause,[],[f929,f843,f949])). 4.14/0.94 tff(f929,plain,( 4.14/0.94 max(sK0,1) = max(1,sK0) | spl12_37), 4.14/0.94 inference(resolution,[],[f845,f369])). 4.14/0.94 tff(f947,plain,( 4.14/0.94 spl12_43 | spl12_37), 4.14/0.94 inference(avatar_split_clause,[],[f928,f843,f944])). 4.14/0.94 tff(f928,plain,( 4.14/0.94 1 = min(sK0,1) | spl12_37), 4.14/0.94 inference(resolution,[],[f845,f368])). 4.14/0.94 tff(f942,plain,( 4.14/0.94 spl12_42 | spl12_37), 4.14/0.94 inference(avatar_split_clause,[],[f927,f843,f939])). 4.14/0.94 tff(f927,plain,( 4.14/0.94 sK0 = max(sK0,1) | spl12_37), 4.14/0.94 inference(resolution,[],[f845,f367])). 4.14/0.94 tff(f918,plain,( 4.14/0.94 ~spl12_41 | spl12_29), 4.14/0.94 inference(avatar_split_clause,[],[f913,f709,f915])). 4.14/0.94 tff(f913,plain,( 4.14/0.94 ~$less($sum(sK2,$uminus(sK2)),0) | spl12_29), 4.14/0.94 inference(forward_demodulation,[],[f898,f896])). 4.14/0.94 tff(f896,plain,( 4.14/0.94 ( ! [X2:uni,X0:ty,X1:uni] : (0 = occ1(X0,X1,X2,sK2,sK2)) ) | spl12_29), 4.14/0.94 inference(resolution,[],[f711,f421])). 4.14/0.94 tff(f898,plain,( 4.14/0.94 ( ! [X6:ty,X8:uni,X7:uni] : (~$less($sum(sK2,$uminus(sK2)),occ1(X6,X7,X8,sK2,sK2))) ) | spl12_29), 4.14/0.94 inference(resolution,[],[f711,f423])). 4.14/0.94 tff(f911,plain,( 4.14/0.94 spl12_40 | spl12_29), 4.14/0.94 inference(avatar_split_clause,[],[f893,f709,f908])). 4.14/0.94 tff(f908,plain,( 4.14/0.94 spl12_40 <=> sK2 = min(sK2,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_40])])). 4.14/0.94 tff(f893,plain,( 4.14/0.94 sK2 = min(sK2,sK2) | spl12_29), 4.14/0.94 inference(resolution,[],[f711,f368])). 4.14/0.94 tff(f906,plain,( 4.14/0.94 spl12_39 | spl12_29), 4.14/0.94 inference(avatar_split_clause,[],[f892,f709,f903])). 4.14/0.94 tff(f903,plain,( 4.14/0.94 spl12_39 <=> sK2 = max(sK2,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_39])])). 4.14/0.94 tff(f892,plain,( 4.14/0.94 sK2 = max(sK2,sK2) | spl12_29), 4.14/0.94 inference(resolution,[],[f711,f367])). 4.14/0.94 tff(f857,plain,( 4.14/0.94 ~spl12_38 | ~spl12_3 | spl12_23), 4.14/0.94 inference(avatar_split_clause,[],[f850,f648,f485,f854])). 4.14/0.94 tff(f854,plain,( 4.14/0.94 spl12_38 <=> sK0 = sK2), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_38])])). 4.14/0.94 tff(f648,plain,( 4.14/0.94 spl12_23 <=> $less(sK0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_23])])). 4.14/0.94 tff(f850,plain,( 4.14/0.94 sK0 != sK2 | (~spl12_3 | spl12_23)), 4.14/0.94 inference(constrained_resolution,[],[f487,f650])). 4.14/0.94 tff(f650,plain,( 4.14/0.94 ~$less(sK0,sK0) | spl12_23), 4.14/0.94 inference(avatar_component_clause,[],[f648])). 4.14/0.94 tff(f849,plain,( 4.14/0.94 spl12_34 | spl12_30), 4.14/0.94 inference(avatar_split_clause,[],[f792,f747,f777])). 4.14/0.94 tff(f777,plain,( 4.14/0.94 spl12_34 <=> $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_34])])). 4.14/0.94 tff(f747,plain,( 4.14/0.94 spl12_30 <=> sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_30])])). 4.14/0.94 tff(f792,plain,( 4.14/0.94 $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),1) | spl12_30), 4.14/0.94 inference(resolution,[],[f749,f400])). 4.14/0.94 tff(f400,plain,( 4.14/0.94 ( ! [X2:$int,X0:array_elt3,X1:$int] : (sorted_sub4(X0,X1,X2) | $less(sK4(X0,X1,X2),X2)) )), 4.14/0.94 inference(cnf_transformation,[],[f283])). 4.14/0.94 tff(f283,plain,( 4.14/0.94 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (sorted_sub4(X0,X1,X2) | ? [X3 : $int,X4 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) & ~$less(X3,X1) & $less(X4,X2) & ~$less(X4,X3)))), 4.14/0.94 inference(flattening,[],[f282])). 4.14/0.94 tff(f282,plain,( 4.14/0.94 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (sorted_sub4(X0,X1,X2) | ? [X3 : $int,X4 : $int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) & (~$less(X3,X1) & $less(X4,X2) & ~$less(X4,X3))))), 4.14/0.94 inference(ennf_transformation,[],[f239])). 4.14/0.94 tff(f239,plain,( 4.14/0.94 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : ((~$less(X3,X1) & $less(X4,X2) & ~$less(X4,X3)) => le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4)))) => sorted_sub4(X0,X1,X2))), 4.14/0.94 inference(unused_predicate_definition_removal,[],[f207])). 4.14/0.94 tff(f207,plain,( 4.14/0.94 ! [X0 : array_elt3,X1 : $int,X2 : $int] : (! [X3 : $int,X4 : $int] : ((~$less(X3,X1) & $less(X4,X2) & ~$less(X4,X3)) => le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4)))) <=> sorted_sub4(X0,X1,X2))), 4.14/0.94 inference(rectify,[],[f124])). 4.14/0.94 tff(f124,plain,( 4.14/0.94 ! [X0 : array_elt3,X10 : $int,X5 : $int] : (! [X19 : $int,X20 : $int] : ((~$less(X19,X10) & $less(X20,X5) & ~$less(X20,X19)) => le4(tb2t11(get2(elt7,t2tb10(X0),X19)),tb2t11(get2(elt7,t2tb10(X0),X20)))) <=> sorted_sub4(X0,X10,X5))), 4.14/0.94 inference(theory_normalization,[],[f30])). 4.14/0.94 tff(f30,axiom,( 4.14/0.94 ! [X0 : array_elt3,X10 : $int,X5 : $int] : (! [X19 : $int,X20 : $int] : (($lesseq(X10,X19) & $less(X20,X5) & $lesseq(X19,X20)) => le4(tb2t11(get2(elt7,t2tb10(X0),X19)),tb2t11(get2(elt7,t2tb10(X0),X20)))) <=> sorted_sub4(X0,X10,X5))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_sub_def3)). 4.14/0.94 tff(f749,plain,( 4.14/0.94 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | spl12_30), 4.14/0.94 inference(avatar_component_clause,[],[f747])). 4.14/0.94 tff(f848,plain,( 4.14/0.94 ~spl12_37 | spl12_2 | spl12_11), 4.14/0.94 inference(avatar_split_clause,[],[f847,f570,f480,f843])). 4.14/0.94 tff(f570,plain,( 4.14/0.94 spl12_11 <=> 0 = sK0), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_11])])). 4.14/0.94 tff(f847,plain,( 4.14/0.94 ~$less(sK0,1) | (spl12_2 | spl12_11)), 4.14/0.94 inference(subsumption_resolution,[],[f838,f572])). 4.14/0.94 tff(f572,plain,( 4.14/0.94 0 != sK0 | spl12_11), 4.14/0.94 inference(avatar_component_clause,[],[f570])). 4.14/0.94 tff(f838,plain,( 4.14/0.94 0 = sK0 | ~$less(sK0,1) | spl12_2), 4.14/0.94 inference(superposition,[],[f341,f495])). 4.14/0.94 tff(f495,plain,( 4.14/0.94 ( ! [X1:$int] : (0 = div(sK0,X1) | ~$less(sK0,X1)) ) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f375])). 4.14/0.94 tff(f846,plain,( 4.14/0.94 ~spl12_37 | spl12_2 | spl12_11), 4.14/0.94 inference(avatar_split_clause,[],[f841,f570,f480,f843])). 4.14/0.94 tff(f841,plain,( 4.14/0.94 ~$less(sK0,1) | (spl12_2 | spl12_11)), 4.14/0.94 inference(subsumption_resolution,[],[f837,f572])). 4.14/0.94 tff(f837,plain,( 4.14/0.94 0 = sK0 | ~$less(sK0,1) | spl12_2), 4.14/0.94 inference(superposition,[],[f495,f341])). 4.14/0.94 tff(f790,plain,( 4.14/0.94 ~spl12_36 | spl12_21 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f740,f703,f628,f787])). 4.14/0.94 tff(f740,plain,( 4.14/0.94 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1))))) | (spl12_21 | ~spl12_28)), 4.14/0.94 inference(evaluation,[],[f738])). 4.14/0.94 tff(f738,plain,( 4.14/0.94 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)))))) | (spl12_21 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f630,f705])). 4.14/0.94 tff(f705,plain,( 4.14/0.94 0 = sK2 | ~spl12_28), 4.14/0.94 inference(avatar_component_clause,[],[f703])). 4.14/0.94 tff(f785,plain,( 4.14/0.94 ~spl12_35 | spl12_20 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f741,f703,f622,f782])). 4.14/0.94 tff(f741,plain,( 4.14/0.94 ~$less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),0) | (spl12_20 | ~spl12_28)), 4.14/0.94 inference(evaluation,[],[f737])). 4.14/0.94 tff(f737,plain,( 4.14/0.94 ~$less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)),0) | (spl12_20 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f624,f705])). 4.14/0.94 tff(f780,plain,( 4.14/0.94 spl12_34 | ~spl12_19 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f742,f703,f617,f777])). 4.14/0.94 tff(f742,plain,( 4.14/0.94 $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),1) | (~spl12_19 | ~spl12_28)), 4.14/0.94 inference(evaluation,[],[f736])). 4.14/0.94 tff(f736,plain,( 4.14/0.94 $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)),$sum(0,1)) | (~spl12_19 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f619,f705])). 4.14/0.94 tff(f775,plain,( 4.14/0.94 ~spl12_33 | spl12_18 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f743,f703,f612,f772])). 4.14/0.94 tff(f743,plain,( 4.14/0.94 ~$less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1)) | (spl12_18 | ~spl12_28)), 4.14/0.94 inference(evaluation,[],[f735])). 4.14/0.94 tff(f735,plain,( 4.14/0.94 ~$less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1))) | (spl12_18 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f614,f705])). 4.14/0.94 tff(f769,plain,( 4.14/0.94 spl12_31 | ~spl12_17 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f733,f703,f602,f759])). 4.14/0.94 tff(f759,plain,( 4.14/0.94 spl12_31 <=> 0 = max(0,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_31])])). 4.14/0.94 tff(f602,plain,( 4.14/0.94 spl12_17 <=> sK2 = max(0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_17])])). 4.14/0.94 tff(f733,plain,( 4.14/0.94 0 = max(0,0) | (~spl12_17 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f604,f705])). 4.14/0.94 tff(f604,plain,( 4.14/0.94 sK2 = max(0,sK2) | ~spl12_17), 4.14/0.94 inference(avatar_component_clause,[],[f602])). 4.14/0.94 tff(f768,plain,( 4.14/0.94 spl12_32 | ~spl12_16 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f732,f703,f596,f764])). 4.14/0.94 tff(f764,plain,( 4.14/0.94 spl12_32 <=> 0 = min(0,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_32])])). 4.14/0.94 tff(f596,plain,( 4.14/0.94 spl12_16 <=> 0 = min(0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_16])])). 4.14/0.94 tff(f732,plain,( 4.14/0.94 0 = min(0,0) | (~spl12_16 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f598,f705])). 4.14/0.94 tff(f598,plain,( 4.14/0.94 0 = min(0,sK2) | ~spl12_16), 4.14/0.94 inference(avatar_component_clause,[],[f596])). 4.14/0.94 tff(f767,plain,( 4.14/0.94 spl12_32 | ~spl12_13 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f731,f703,f580,f764])). 4.14/0.94 tff(f580,plain,( 4.14/0.94 spl12_13 <=> 0 = min(sK2,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_13])])). 4.14/0.94 tff(f731,plain,( 4.14/0.94 0 = min(0,0) | (~spl12_13 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f582,f705])). 4.14/0.94 tff(f582,plain,( 4.14/0.94 0 = min(sK2,0) | ~spl12_13), 4.14/0.94 inference(avatar_component_clause,[],[f580])). 4.14/0.94 tff(f762,plain,( 4.14/0.94 spl12_31 | ~spl12_12 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f730,f703,f575,f759])). 4.14/0.94 tff(f575,plain,( 4.14/0.94 spl12_12 <=> sK2 = max(sK2,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_12])])). 4.14/0.94 tff(f730,plain,( 4.14/0.94 0 = max(0,0) | (~spl12_12 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f577,f705])). 4.14/0.94 tff(f577,plain,( 4.14/0.94 sK2 = max(sK2,0) | ~spl12_12), 4.14/0.94 inference(avatar_component_clause,[],[f575])). 4.14/0.94 tff(f750,plain,( 4.14/0.94 ~spl12_30 | spl12_1 | ~spl12_28), 4.14/0.94 inference(avatar_split_clause,[],[f745,f703,f475,f747])). 4.14/0.94 tff(f475,plain,( 4.14/0.94 spl12_1 <=> sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_1])])). 4.14/0.94 tff(f745,plain,( 4.14/0.94 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,1) | (spl12_1 | ~spl12_28)), 4.14/0.94 inference(evaluation,[],[f713])). 4.14/0.94 tff(f713,plain,( 4.14/0.94 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),0,$sum(0,1)) | (spl12_1 | ~spl12_28)), 4.14/0.94 inference(backward_demodulation,[],[f477,f705])). 4.14/0.94 tff(f477,plain,( 4.14/0.94 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) | spl12_1), 4.14/0.94 inference(avatar_component_clause,[],[f475])). 4.14/0.94 tff(f712,plain,( 4.14/0.94 ~spl12_29 | ~spl12_12), 4.14/0.94 inference(avatar_split_clause,[],[f697,f575,f709])). 4.14/0.94 tff(f697,plain,( 4.14/0.94 ~$less(sK2,sK2) | ~spl12_12), 4.14/0.94 inference(superposition,[],[f354,f577])). 4.14/0.94 tff(f354,plain,( 4.14/0.94 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X0)) )), 4.14/0.94 inference(cnf_transformation,[],[f167])). 4.14/0.94 tff(f167,plain,( 4.14/0.94 ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0) & ~$less(max(X0,X1),X1))), 4.14/0.94 inference(rectify,[],[f104])). 4.14/0.94 tff(f104,plain,( 4.14/0.94 ! [X6 : $int,X7 : $int] : (~$less(max(X6,X7),X6) & ~$less(max(X6,X7),X7))), 4.14/0.94 inference(theory_normalization,[],[f47])). 4.14/0.94 tff(f47,axiom,( 4.14/0.94 ! [X6 : $int,X7 : $int] : ($lesseq(X6,max(X6,X7)) & $lesseq(X7,max(X6,X7)))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ge)). 4.14/0.94 tff(f707,plain,( 4.14/0.94 spl12_27 | spl12_28 | ~spl12_12), 4.14/0.94 inference(avatar_split_clause,[],[f694,f575,f703,f699])). 4.14/0.94 tff(f699,plain,( 4.14/0.94 spl12_27 <=> $less(0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_27])])). 4.14/0.94 tff(f694,plain,( 4.14/0.94 0 = sK2 | $less(0,sK2) | ~spl12_12), 4.14/0.94 inference(superposition,[],[f365,f577])). 4.14/0.94 tff(f706,plain,( 4.14/0.94 spl12_27 | spl12_28 | ~spl12_12), 4.14/0.94 inference(avatar_split_clause,[],[f692,f575,f703,f699])). 4.14/0.94 tff(f692,plain,( 4.14/0.94 0 = sK2 | $less(0,sK2) | ~spl12_12), 4.14/0.94 inference(superposition,[],[f577,f365])). 4.14/0.94 tff(f684,plain,( 4.14/0.94 ~spl12_26 | spl12_23), 4.14/0.94 inference(avatar_split_clause,[],[f679,f648,f681])). 4.14/0.94 tff(f679,plain,( 4.14/0.94 ~$less($sum(sK0,$uminus(sK0)),0) | spl12_23), 4.14/0.94 inference(forward_demodulation,[],[f664,f662])). 4.14/0.94 tff(f662,plain,( 4.14/0.94 ( ! [X2:uni,X0:ty,X1:uni] : (0 = occ1(X0,X1,X2,sK0,sK0)) ) | spl12_23), 4.14/0.94 inference(resolution,[],[f650,f421])). 4.14/0.94 tff(f664,plain,( 4.14/0.94 ( ! [X6:ty,X8:uni,X7:uni] : (~$less($sum(sK0,$uminus(sK0)),occ1(X6,X7,X8,sK0,sK0))) ) | spl12_23), 4.14/0.94 inference(resolution,[],[f650,f423])). 4.14/0.94 tff(f677,plain,( 4.14/0.94 spl12_25 | spl12_23), 4.14/0.94 inference(avatar_split_clause,[],[f659,f648,f674])). 4.14/0.94 tff(f674,plain,( 4.14/0.94 spl12_25 <=> sK0 = min(sK0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_25])])). 4.14/0.94 tff(f659,plain,( 4.14/0.94 sK0 = min(sK0,sK0) | spl12_23), 4.14/0.94 inference(resolution,[],[f650,f368])). 4.14/0.94 tff(f672,plain,( 4.14/0.94 spl12_24 | spl12_23), 4.14/0.94 inference(avatar_split_clause,[],[f658,f648,f669])). 4.14/0.94 tff(f669,plain,( 4.14/0.94 spl12_24 <=> sK0 = max(sK0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_24])])). 4.14/0.94 tff(f658,plain,( 4.14/0.94 sK0 = max(sK0,sK0) | spl12_23), 4.14/0.94 inference(resolution,[],[f650,f367])). 4.14/0.94 tff(f651,plain,( 4.14/0.94 ~spl12_23 | ~spl12_5), 4.14/0.94 inference(avatar_split_clause,[],[f638,f515,f648])). 4.14/0.94 tff(f515,plain,( 4.14/0.94 spl12_5 <=> sK0 = max(sK0,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_5])])). 4.14/0.94 tff(f638,plain,( 4.14/0.94 ~$less(sK0,sK0) | ~spl12_5), 4.14/0.94 inference(superposition,[],[f354,f517])). 4.14/0.94 tff(f517,plain,( 4.14/0.94 sK0 = max(sK0,0) | ~spl12_5), 4.14/0.94 inference(avatar_component_clause,[],[f515])). 4.14/0.94 tff(f646,plain,( 4.14/0.94 spl12_22 | ~spl12_5 | spl12_11), 4.14/0.94 inference(avatar_split_clause,[],[f645,f570,f515,f641])). 4.14/0.94 tff(f641,plain,( 4.14/0.94 spl12_22 <=> $less(0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_22])])). 4.14/0.94 tff(f645,plain,( 4.14/0.94 $less(0,sK0) | (~spl12_5 | spl12_11)), 4.14/0.94 inference(subsumption_resolution,[],[f635,f572])). 4.14/0.94 tff(f635,plain,( 4.14/0.94 0 = sK0 | $less(0,sK0) | ~spl12_5), 4.14/0.94 inference(superposition,[],[f365,f517])). 4.14/0.94 tff(f644,plain,( 4.14/0.94 spl12_22 | ~spl12_5 | spl12_11), 4.14/0.94 inference(avatar_split_clause,[],[f639,f570,f515,f641])). 4.14/0.94 tff(f639,plain,( 4.14/0.94 $less(0,sK0) | (~spl12_5 | spl12_11)), 4.14/0.94 inference(subsumption_resolution,[],[f633,f572])). 4.14/0.94 tff(f633,plain,( 4.14/0.94 0 = sK0 | $less(0,sK0) | ~spl12_5), 4.14/0.94 inference(superposition,[],[f517,f365])). 4.14/0.94 tff(f631,plain,( 4.14/0.94 ~spl12_21 | spl12_1), 4.14/0.94 inference(avatar_split_clause,[],[f626,f475,f628])). 4.14/0.94 tff(f626,plain,( 4.14/0.94 ~le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl12_1), 4.14/0.94 inference(forward_demodulation,[],[f609,f339])). 4.14/0.94 tff(f339,plain,( 4.14/0.94 ( ! [X0:uni] : (t2tb10(tb2t10(X0)) = X0) )), 4.14/0.94 inference(cnf_transformation,[],[f153])). 4.14/0.94 tff(f153,plain,( 4.14/0.94 ! [X0 : uni] : t2tb10(tb2t10(X0)) = X0), 4.14/0.94 inference(rectify,[],[f33])). 4.14/0.94 tff(f33,axiom,( 4.14/0.94 ! [X16 : uni] : t2tb10(tb2t10(X16)) = X16), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR10)). 4.14/0.94 tff(f609,plain,( 4.14/0.94 ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) | spl12_1), 4.14/0.94 inference(resolution,[],[f477,f468])). 4.14/0.94 tff(f468,plain,( 4.14/0.94 ( ! [X2:$int,X0:array_elt3,X1:$int] : (sorted_sub4(X0,X1,X2) | ~le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK3(X0,X1,X2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK4(X0,X1,X2)))))) )), 4.14/0.94 inference(definition_unfolding,[],[f402,f389,f389])). 4.14/0.94 tff(f389,plain,( 4.14/0.94 ( ! [X2:$int,X0:ty,X1:uni] : (get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))) )), 4.14/0.94 inference(cnf_transformation,[],[f197])). 4.14/0.94 tff(f197,plain,( 4.14/0.94 ! [X0 : ty,X1 : uni,X2 : $int] : get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))), 4.14/0.94 inference(rectify,[],[f76])). 4.14/0.94 tff(f76,axiom,( 4.14/0.94 ! [X0 : ty,X3 : uni,X11 : $int] : get(X0,int,elts(X0,X3),t2tb(X11)) = get2(X0,X3,X11)), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 4.14/0.94 tff(f402,plain,( 4.14/0.94 ( ! [X2:$int,X0:array_elt3,X1:$int] : (~le4(tb2t11(get2(elt7,t2tb10(X0),sK3(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK4(X0,X1,X2)))) | sorted_sub4(X0,X1,X2)) )), 4.14/0.94 inference(cnf_transformation,[],[f283])). 4.14/0.94 tff(f625,plain,( 4.14/0.94 ~spl12_20 | spl12_1), 4.14/0.94 inference(avatar_split_clause,[],[f608,f475,f622])). 4.14/0.94 tff(f608,plain,( 4.14/0.94 ~$less(sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) | spl12_1), 4.14/0.94 inference(resolution,[],[f477,f401])). 4.14/0.94 tff(f401,plain,( 4.14/0.94 ( ! [X2:$int,X0:array_elt3,X1:$int] : (sorted_sub4(X0,X1,X2) | ~$less(sK3(X0,X1,X2),X1)) )), 4.14/0.94 inference(cnf_transformation,[],[f283])). 4.14/0.94 tff(f620,plain,( 4.14/0.94 spl12_19 | spl12_1), 4.14/0.94 inference(avatar_split_clause,[],[f607,f475,f617])). 4.14/0.94 tff(f607,plain,( 4.14/0.94 $less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1)) | spl12_1), 4.14/0.94 inference(resolution,[],[f477,f400])). 4.14/0.94 tff(f615,plain,( 4.14/0.94 ~spl12_18 | spl12_1), 4.14/0.94 inference(avatar_split_clause,[],[f606,f475,f612])). 4.14/0.94 tff(f606,plain,( 4.14/0.94 ~$less(sK4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK3(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) | spl12_1), 4.14/0.94 inference(resolution,[],[f477,f399])). 4.14/0.94 tff(f399,plain,( 4.14/0.94 ( ! [X2:$int,X0:array_elt3,X1:$int] : (sorted_sub4(X0,X1,X2) | ~$less(sK4(X0,X1,X2),sK3(X0,X1,X2))) )), 4.14/0.94 inference(cnf_transformation,[],[f283])). 4.14/0.94 tff(f605,plain,( 4.14/0.94 spl12_17 | ~spl12_12 | ~spl12_14), 4.14/0.94 inference(avatar_split_clause,[],[f600,f585,f575,f602])). 4.14/0.94 tff(f585,plain,( 4.14/0.94 spl12_14 <=> max(sK2,0) = max(0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_14])])). 4.14/0.94 tff(f600,plain,( 4.14/0.94 sK2 = max(0,sK2) | (~spl12_12 | ~spl12_14)), 4.14/0.94 inference(backward_demodulation,[],[f587,f577])). 4.14/0.94 tff(f587,plain,( 4.14/0.94 max(sK2,0) = max(0,sK2) | ~spl12_14), 4.14/0.94 inference(avatar_component_clause,[],[f585])). 4.14/0.94 tff(f599,plain,( 4.14/0.94 spl12_16 | ~spl12_13 | ~spl12_15), 4.14/0.94 inference(avatar_split_clause,[],[f594,f590,f580,f596])). 4.14/0.94 tff(f590,plain,( 4.14/0.94 spl12_15 <=> min(sK2,0) = min(0,sK2)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_15])])). 4.14/0.94 tff(f594,plain,( 4.14/0.94 0 = min(0,sK2) | (~spl12_13 | ~spl12_15)), 4.14/0.94 inference(backward_demodulation,[],[f592,f582])). 4.14/0.94 tff(f592,plain,( 4.14/0.94 min(sK2,0) = min(0,sK2) | ~spl12_15), 4.14/0.94 inference(avatar_component_clause,[],[f590])). 4.14/0.94 tff(f593,plain,( 4.14/0.94 spl12_15 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f561,f490,f590])). 4.14/0.94 tff(f561,plain,( 4.14/0.94 min(sK2,0) = min(0,sK2) | spl12_4), 4.14/0.94 inference(resolution,[],[f492,f370])). 4.14/0.94 tff(f588,plain,( 4.14/0.94 spl12_14 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f560,f490,f585])). 4.14/0.94 tff(f560,plain,( 4.14/0.94 max(sK2,0) = max(0,sK2) | spl12_4), 4.14/0.94 inference(resolution,[],[f492,f369])). 4.14/0.94 tff(f583,plain,( 4.14/0.94 spl12_13 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f559,f490,f580])). 4.14/0.94 tff(f559,plain,( 4.14/0.94 0 = min(sK2,0) | spl12_4), 4.14/0.94 inference(resolution,[],[f492,f368])). 4.14/0.94 tff(f578,plain,( 4.14/0.94 spl12_12 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f558,f490,f575])). 4.14/0.94 tff(f558,plain,( 4.14/0.94 sK2 = max(sK2,0) | spl12_4), 4.14/0.94 inference(resolution,[],[f492,f367])). 4.14/0.94 tff(f573,plain,( 4.14/0.94 ~spl12_11 | ~spl12_3 | spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f548,f490,f485,f570])). 4.14/0.94 tff(f548,plain,( 4.14/0.94 0 != sK0 | (~spl12_3 | spl12_4)), 4.14/0.94 inference(constrained_resolution,[],[f492,f487])). 4.14/0.94 tff(f545,plain,( 4.14/0.94 spl12_10 | ~spl12_5 | ~spl12_7), 4.14/0.94 inference(avatar_split_clause,[],[f540,f525,f515,f542])). 4.14/0.94 tff(f542,plain,( 4.14/0.94 spl12_10 <=> sK0 = max(0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_10])])). 4.14/0.94 tff(f525,plain,( 4.14/0.94 spl12_7 <=> max(sK0,0) = max(0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_7])])). 4.14/0.94 tff(f540,plain,( 4.14/0.94 sK0 = max(0,sK0) | (~spl12_5 | ~spl12_7)), 4.14/0.94 inference(backward_demodulation,[],[f527,f517])). 4.14/0.94 tff(f527,plain,( 4.14/0.94 max(sK0,0) = max(0,sK0) | ~spl12_7), 4.14/0.94 inference(avatar_component_clause,[],[f525])). 4.14/0.94 tff(f539,plain,( 4.14/0.94 spl12_9 | ~spl12_6 | ~spl12_8), 4.14/0.94 inference(avatar_split_clause,[],[f534,f530,f520,f536])). 4.14/0.94 tff(f536,plain,( 4.14/0.94 spl12_9 <=> 0 = min(0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_9])])). 4.14/0.94 tff(f520,plain,( 4.14/0.94 spl12_6 <=> 0 = min(sK0,0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_6])])). 4.14/0.94 tff(f530,plain,( 4.14/0.94 spl12_8 <=> min(sK0,0) = min(0,sK0)), 4.14/0.94 introduced(avatar_definition,[new_symbols(naming,[spl12_8])])). 4.14/0.94 tff(f534,plain,( 4.14/0.94 0 = min(0,sK0) | (~spl12_6 | ~spl12_8)), 4.14/0.94 inference(backward_demodulation,[],[f532,f522])). 4.14/0.94 tff(f522,plain,( 4.14/0.94 0 = min(sK0,0) | ~spl12_6), 4.14/0.94 inference(avatar_component_clause,[],[f520])). 4.14/0.94 tff(f532,plain,( 4.14/0.94 min(sK0,0) = min(0,sK0) | ~spl12_8), 4.14/0.94 inference(avatar_component_clause,[],[f530])). 4.14/0.94 tff(f533,plain,( 4.14/0.94 spl12_8 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f506,f480,f530])). 4.14/0.94 tff(f506,plain,( 4.14/0.94 min(sK0,0) = min(0,sK0) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f370])). 4.14/0.94 tff(f528,plain,( 4.14/0.94 spl12_7 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f505,f480,f525])). 4.14/0.94 tff(f505,plain,( 4.14/0.94 max(sK0,0) = max(0,sK0) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f369])). 4.14/0.94 tff(f523,plain,( 4.14/0.94 spl12_6 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f504,f480,f520])). 4.14/0.94 tff(f504,plain,( 4.14/0.94 0 = min(sK0,0) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f368])). 4.14/0.94 tff(f518,plain,( 4.14/0.94 spl12_5 | spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f503,f480,f515])). 4.14/0.94 tff(f503,plain,( 4.14/0.94 sK0 = max(sK0,0) | spl12_2), 4.14/0.94 inference(resolution,[],[f482,f367])). 4.14/0.94 tff(f493,plain,( 4.14/0.94 ~spl12_4), 4.14/0.94 inference(avatar_split_clause,[],[f323,f490])). 4.14/0.94 tff(f323,plain,( 4.14/0.94 ~$less(sK2,0)), 4.14/0.94 inference(cnf_transformation,[],[f241])). 4.14/0.94 tff(f241,plain,( 4.14/0.94 ? [X0 : $int,X1 : map_int_elt3,X2 : $int] : (~sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) & ~$less(X0,0) & $less(X2,X0) & ~$less(X2,0))), 4.14/0.94 inference(flattening,[],[f240])). 4.14/0.94 tff(f240,plain,( 4.14/0.94 ? [X0 : $int,X1 : map_int_elt3,X2 : $int] : (~sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) & (~$less(X0,0) & $less(X2,X0) & ~$less(X2,0)))), 4.14/0.94 inference(ennf_transformation,[],[f142])). 4.14/0.94 tff(f142,plain,( 4.14/0.94 ~! [X0 : $int,X1 : map_int_elt3,X2 : $int] : ((~$less(X0,0) & $less(X2,X0) & ~$less(X2,0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)))), 4.14/0.94 inference(rectify,[],[f100])). 4.14/0.94 tff(f100,plain,( 4.14/0.94 ~! [X0 : $int,X3 : map_int_elt3,X12 : $int] : ((~$less(X0,0) & $less(X12,X0) & ~$less(X12,0)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X3))),X12,$sum(X12,1)))), 4.14/0.94 inference(theory_normalization,[],[f7])). 4.14/0.94 tff(f7,negated_conjecture,( 4.14/0.94 ~! [X0 : $int,X3 : map_int_elt3,X12 : $int] : (($lesseq(0,X0) & $less(X12,X0) & $lesseq(0,X12)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X3))),X12,$sum(X12,1)))), 4.14/0.94 inference(negated_conjecture,[],[f6])). 4.14/0.94 tff(f6,conjecture,( 4.14/0.94 ! [X0 : $int,X3 : map_int_elt3,X12 : $int] : (($lesseq(0,X0) & $less(X12,X0) & $lesseq(0,X12)) => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X3))),X12,$sum(X12,1)))), 4.14/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find_run)). 4.14/0.94 tff(f488,plain,( 4.14/0.94 spl12_3), 4.14/0.94 inference(avatar_split_clause,[],[f324,f485])). 4.14/0.94 tff(f324,plain,( 4.14/0.94 $less(sK2,sK0)), 4.14/0.94 inference(cnf_transformation,[],[f241])). 4.14/0.94 tff(f483,plain,( 4.14/0.94 ~spl12_2), 4.14/0.94 inference(avatar_split_clause,[],[f325,f480])). 4.14/0.94 tff(f325,plain,( 4.14/0.94 ~$less(sK0,0)), 4.14/0.94 inference(cnf_transformation,[],[f241])). 4.14/0.94 tff(f478,plain,( 4.14/0.94 ~spl12_1), 4.14/0.94 inference(avatar_split_clause,[],[f326,f475])). 4.14/0.94 tff(f326,plain,( 4.14/0.94 ~sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))), 4.14/0.94 inference(cnf_transformation,[],[f241])). 4.14/0.94 % SZS output end Proof for theBenchmark 4.14/0.94 % (6647)------------------------------ 4.14/0.94 % (6647)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.14/0.94 % (6647)Termination reason: Refutation 4.14/0.94 4.14/0.94 % (6647)Memory used [KB]: 8827 4.14/0.94 % (6647)Time elapsed: 0.483 s 4.14/0.94 % (6647)------------------------------ 4.14/0.94 % (6647)------------------------------ 4.14/0.94 % (6630)Success in time 0.562 s 4.14/0.95 EOF