0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.13/0.34 Computer : n019.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 8042.1875MB 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:16:06 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.51 % (29344)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.20/0.51 % (29352)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 0.20/0.53 % (29360)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 0.20/0.53 % (29348)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.20/0.53 % (29371)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 0.20/0.54 % (29346)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.20/0.54 % (29351)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 0.20/0.54 % (29349)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 0.20/0.54 % (29345)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 0.20/0.54 % (29365)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 0.20/0.54 % (29358)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 0.20/0.54 % (29347)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.20/0.55 % (29354)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 0.20/0.55 % (29366)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 0.20/0.55 % (29343)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 1.37/0.55 % (29364)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 1.37/0.55 % (29362)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 1.37/0.55 % (29361)WARNING: option uwaf not known. 1.37/0.56 % (29353)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 1.37/0.56 % (29370)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 1.37/0.56 % (29367)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 1.37/0.56 % (29361)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 1.37/0.56 % (29356)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 1.37/0.56 % (29368)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 1.37/0.57 % (29350)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 1.37/0.57 % (29359)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 1.37/0.57 % (29369)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 1.52/0.57 % (29357)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 1.52/0.58 % (29355)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 1.52/0.58 % (29363)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 1.52/0.60 % (29372)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 2.15/0.70 % (29354)Refutation not found, incomplete strategy% (29354)------------------------------ 2.15/0.70 % (29354)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.15/0.70 % (29354)Termination reason: Refutation not found, incomplete strategy 2.15/0.70 2.15/0.70 % (29354)Memory used [KB]: 6780 2.15/0.70 % (29354)Time elapsed: 0.239 s 2.15/0.70 % (29354)------------------------------ 2.15/0.70 % (29354)------------------------------ 2.15/0.73 % (29371)Refutation found. Thanks to Tanya! 2.15/0.73 % SZS status Theorem for theBenchmark 2.15/0.73 % SZS output start Proof for theBenchmark 2.15/0.73 tff(type_def_5, type, uni: $tType). 2.15/0.73 tff(type_def_6, type, ty: $tType). 2.15/0.73 tff(type_def_7, type, bool1: $tType). 2.15/0.73 tff(type_def_8, type, tuple02: $tType). 2.15/0.73 tff(type_def_9, type, map_int_int: $tType). 2.15/0.73 tff(type_def_10, type, array_int: $tType). 2.15/0.73 tff(func_def_0, type, witness1: ty > uni). 2.15/0.73 tff(func_def_1, type, int: ty). 2.15/0.73 tff(func_def_2, type, real: ty). 2.15/0.73 tff(func_def_3, type, bool: ty). 2.15/0.73 tff(func_def_4, type, true1: bool1). 2.15/0.73 tff(func_def_5, type, false1: bool1). 2.15/0.73 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 2.15/0.73 tff(func_def_7, type, tuple0: ty). 2.15/0.73 tff(func_def_8, type, tuple03: tuple02). 2.15/0.73 tff(func_def_9, type, qtmark: ty). 2.15/0.73 tff(func_def_10, type, map: (ty * ty) > ty). 2.15/0.73 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 2.15/0.73 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 2.15/0.73 tff(func_def_13, type, const: (ty * ty * uni) > uni). 2.15/0.73 tff(func_def_14, type, array: ty > ty). 2.15/0.73 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 2.15/0.73 tff(func_def_16, type, length1: (ty * uni) > $int). 2.15/0.73 tff(func_def_17, type, elts: (ty * uni) > uni). 2.15/0.73 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 2.15/0.73 tff(func_def_19, type, t2tb: $int > uni). 2.15/0.73 tff(func_def_20, type, tb2t: uni > $int). 2.15/0.73 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 2.15/0.73 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 2.15/0.73 tff(func_def_23, type, t2tb1: map_int_int > uni). 2.15/0.73 tff(func_def_24, type, tb2t1: uni > map_int_int). 2.15/0.73 tff(func_def_25, type, occ1: (ty * uni * uni * $int * $int) > $int). 2.15/0.73 tff(func_def_26, type, t2tb2: array_int > uni). 2.15/0.73 tff(func_def_27, type, tb2t2: uni > array_int). 2.15/0.73 tff(func_def_43, type, sK0: map_int_int). 2.15/0.73 tff(func_def_44, type, sK1: map_int_int). 2.15/0.73 tff(func_def_45, type, sK2: map_int_int). 2.15/0.73 tff(func_def_46, type, sK3: map_int_int). 2.15/0.73 tff(func_def_47, type, sK4: map_int_int). 2.15/0.73 tff(func_def_48, type, sK5: map_int_int). 2.15/0.73 tff(func_def_49, type, sK6: map_int_int). 2.15/0.73 tff(func_def_50, type, sK7: map_int_int). 2.15/0.73 tff(func_def_51, type, sK8: map_int_int). 2.15/0.73 tff(func_def_52, type, sK9: map_int_int). 2.15/0.73 tff(func_def_53, type, sK10: (map_int_int * $int) > $int). 2.15/0.73 tff(func_def_54, type, sK11: (map_int_int * $int) > $int). 2.15/0.73 tff(func_def_55, type, sK12: (map_int_int * $int) > $int). 2.15/0.73 tff(func_def_56, type, sK13: (map_int_int * $int) > $int). 2.15/0.73 tff(func_def_57, type, sK14: (map_int_int * $int * $int) > $int). 2.15/0.73 tff(func_def_58, type, sK15: (map_int_int * $int) > $int). 2.15/0.73 tff(func_def_59, type, sK16: (ty * uni * uni * $int * $int) > $int). 2.15/0.73 tff(func_def_60, type, sK17: (ty * uni * uni * $int * $int) > $int). 2.15/0.73 tff(func_def_61, type, sK18: (ty * uni * uni * $int * $int) > $int). 2.15/0.73 tff(pred_def_1, type, sort1: (ty * uni) > $o). 2.15/0.73 tff(pred_def_2, type, injective2: (map_int_int * $int) > $o). 2.15/0.73 tff(pred_def_3, type, surjective2: (map_int_int * $int) > $o). 2.15/0.73 tff(pred_def_4, type, range2: (map_int_int * $int) > $o). 2.15/0.73 tff(pred_def_5, type, injective3: (array_int * $int) > $o). 2.15/0.73 tff(pred_def_6, type, surjective3: (array_int * $int) > $o). 2.15/0.73 tff(pred_def_7, type, range3: (array_int * $int) > $o). 2.15/0.73 tff(f459,plain,( 2.15/0.73 $false), 2.15/0.73 inference(avatar_sat_refutation,[],[f325,f329,f333,f337,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f416,f420,f424,f428,f432,f436,f440,f447,f451,f458])). 2.15/0.73 tff(f458,plain,( 2.15/0.73 spl19_32 | ~spl19_33 | spl19_2), 2.15/0.73 inference(avatar_split_clause,[],[f443,f323,f456,f453])). 2.15/0.73 tff(f453,plain,( 2.15/0.73 spl19_32 <=> $less(tb2t(get(int,int,t2tb1(sK9),t2tb(sK10(sK9,10)))),0)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_32])])). 2.15/0.73 tff(f456,plain,( 2.15/0.73 spl19_33 <=> $less(tb2t(get(int,int,t2tb1(sK9),t2tb(sK10(sK9,10)))),10)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_33])])). 2.15/0.73 tff(f323,plain,( 2.15/0.73 spl19_2 <=> range2(sK9,10)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_2])])). 2.15/0.73 tff(f443,plain,( 2.15/0.73 ~$less(tb2t(get(int,int,t2tb1(sK9),t2tb(sK10(sK9,10)))),10) | $less(tb2t(get(int,int,t2tb1(sK9),t2tb(sK10(sK9,10)))),0) | spl19_2), 2.15/0.73 inference(resolution,[],[f324,f262])). 2.15/0.73 tff(f262,plain,( 2.15/0.73 ( ! [X0:map_int_int,X1:$int] : (range2(X0,X1) | ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),0)) )), 2.15/0.73 inference(cnf_transformation,[],[f164])). 2.15/0.73 tff(f164,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((range2(X0,X1) | ((~$less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),0)) & $less(sK10(X0,X1),X1) & ~$less(sK10(X0,X1),0))) & (! [X3 : $int] : (($less(tb2t(get(int,int,t2tb1(X0),t2tb(X3))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X3))),0)) | ~$less(X3,X1) | $less(X3,0)) | ~range2(X0,X1)))), 2.15/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f162,f163])). 2.15/0.73 tff(f163,plain,( 2.15/0.73 ! [X1 : $int,X0 : map_int_int] : (? [X2 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) & $less(X2,X1) & ~$less(X2,0)) => ((~$less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(sK10(X0,X1)))),0)) & $less(sK10(X0,X1),X1) & ~$less(sK10(X0,X1),0)))), 2.15/0.73 introduced(choice_axiom,[])). 2.15/0.73 tff(f162,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((range2(X0,X1) | ? [X2 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) & $less(X2,X1) & ~$less(X2,0))) & (! [X3 : $int] : (($less(tb2t(get(int,int,t2tb1(X0),t2tb(X3))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X3))),0)) | ~$less(X3,X1) | $less(X3,0)) | ~range2(X0,X1)))), 2.15/0.73 inference(rectify,[],[f161])). 2.15/0.73 tff(f161,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((range2(X0,X1) | ? [X2 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) | $less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) & $less(X2,X1) & ~$less(X2,0))) & (! [X2 : $int] : (($less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) | ~$less(X2,X1) | $less(X2,0)) | ~range2(X0,X1)))), 2.15/0.73 inference(nnf_transformation,[],[f117])). 2.15/0.73 tff(f117,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : (range2(X0,X1) <=> ! [X2 : $int] : (($less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) | ~$less(X2,X1) | $less(X2,0)))), 2.15/0.73 inference(flattening,[],[f116])). 2.15/0.73 tff(f116,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : (range2(X0,X1) <=> ! [X2 : $int] : (($less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0)) | (~$less(X2,X1) | $less(X2,0))))), 2.15/0.73 inference(ennf_transformation,[],[f55])). 2.15/0.73 tff(f55,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : (range2(X0,X1) <=> ! [X2 : $int] : (($less(X2,X1) & ~$less(X2,0)) => ($less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) & ~$less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),0))))), 2.15/0.73 inference(theory_normalization,[],[f45])). 2.15/0.73 tff(f45,axiom,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : (range2(X0,X1) <=> ! [X2 : $int] : (($less(X2,X1) & $lesseq(0,X2)) => ($less(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),X1) & $lesseq(0,tb2t(get(int,int,t2tb1(X0),t2tb(X2)))))))), 2.15/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_def)). 2.15/0.73 tff(f324,plain,( 2.15/0.73 ~range2(sK9,10) | spl19_2), 2.15/0.73 inference(avatar_component_clause,[],[f323])). 2.15/0.73 tff(f451,plain,( 2.15/0.73 spl19_31 | spl19_2), 2.15/0.73 inference(avatar_split_clause,[],[f442,f323,f449])). 2.15/0.73 tff(f449,plain,( 2.15/0.73 spl19_31 <=> $less(sK10(sK9,10),10)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_31])])). 2.15/0.73 tff(f442,plain,( 2.15/0.73 $less(sK10(sK9,10),10) | spl19_2), 2.15/0.73 inference(resolution,[],[f324,f261])). 2.15/0.73 tff(f261,plain,( 2.15/0.73 ( ! [X0:map_int_int,X1:$int] : (range2(X0,X1) | $less(sK10(X0,X1),X1)) )), 2.15/0.73 inference(cnf_transformation,[],[f164])). 2.15/0.73 tff(f447,plain,( 2.15/0.73 ~spl19_30 | spl19_2), 2.15/0.73 inference(avatar_split_clause,[],[f441,f323,f445])). 2.15/0.73 tff(f445,plain,( 2.15/0.73 spl19_30 <=> $less(sK10(sK9,10),0)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_30])])). 2.15/0.73 tff(f441,plain,( 2.15/0.73 ~$less(sK10(sK9,10),0) | spl19_2), 2.15/0.73 inference(resolution,[],[f324,f260])). 2.15/0.73 tff(f260,plain,( 2.15/0.73 ( ! [X0:map_int_int,X1:$int] : (range2(X0,X1) | ~$less(sK10(X0,X1),0)) )), 2.15/0.73 inference(cnf_transformation,[],[f164])). 2.15/0.73 tff(f440,plain,( 2.15/0.73 spl19_29 | spl19_1), 2.15/0.73 inference(avatar_split_clause,[],[f412,f320,f438])). 2.15/0.73 tff(f438,plain,( 2.15/0.73 spl19_29 <=> $less(1,occ1(int,t2tb(sK13(sK9,10)),t2tb1(sK9),0,10))), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_29])])). 2.15/0.73 tff(f320,plain,( 2.15/0.73 spl19_1 <=> injective2(sK9,10)), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_1])])). 2.15/0.73 tff(f412,plain,( 2.15/0.73 $less(1,occ1(int,t2tb(sK13(sK9,10)),t2tb1(sK9),0,10)) | spl19_1), 2.15/0.73 inference(resolution,[],[f321,f272])). 2.15/0.73 tff(f272,plain,( 2.15/0.73 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | $less(1,occ1(int,t2tb(sK13(X0,X1)),t2tb1(X0),0,X1))) )), 2.15/0.73 inference(cnf_transformation,[],[f173])). 2.15/0.73 tff(f173,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((! [X2 : $int] : ~$less(1,occ1(int,t2tb(X2),t2tb1(X0),0,X1)) | ~injective2(X0,X1)) & (injective2(X0,X1) | $less(1,occ1(int,t2tb(sK13(X0,X1)),t2tb1(X0),0,X1))))), 2.15/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f171,f172])). 2.15/0.73 tff(f172,plain,( 2.15/0.73 ! [X1 : $int,X0 : map_int_int] : (? [X3 : $int] : $less(1,occ1(int,t2tb(X3),t2tb1(X0),0,X1)) => $less(1,occ1(int,t2tb(sK13(X0,X1)),t2tb1(X0),0,X1)))), 2.15/0.73 introduced(choice_axiom,[])). 2.15/0.73 tff(f171,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((! [X2 : $int] : ~$less(1,occ1(int,t2tb(X2),t2tb1(X0),0,X1)) | ~injective2(X0,X1)) & (injective2(X0,X1) | ? [X3 : $int] : $less(1,occ1(int,t2tb(X3),t2tb1(X0),0,X1))))), 2.15/0.73 inference(rectify,[],[f170])). 2.15/0.73 tff(f170,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : ((! [X2 : $int] : ~$less(1,occ1(int,t2tb(X2),t2tb1(X0),0,X1)) | ~injective2(X0,X1)) & (injective2(X0,X1) | ? [X2 : $int] : $less(1,occ1(int,t2tb(X2),t2tb1(X0),0,X1))))), 2.15/0.73 inference(nnf_transformation,[],[f83])). 2.15/0.73 tff(f83,plain,( 2.15/0.73 ! [X0 : map_int_int,X1 : $int] : (! [X2 : $int] : ~$less(1,occ1(int,t2tb(X2),t2tb1(X0),0,X1)) <=> injective2(X0,X1))), 2.15/0.73 inference(rectify,[],[f57])). 2.15/0.73 tff(f57,plain,( 2.15/0.73 ! [X5 : map_int_int,X1 : $int] : (! [X9 : $int] : ~$less(1,occ1(int,t2tb(X9),t2tb1(X5),0,X1)) <=> injective2(X5,X1))), 2.15/0.73 inference(theory_normalization,[],[f12])). 2.15/0.73 tff(f12,axiom,( 2.15/0.73 ! [X5 : map_int_int,X1 : $int] : (! [X9 : $int] : $lesseq(occ1(int,t2tb(X9),t2tb1(X5),0,X1),1) <=> injective2(X5,X1))), 2.15/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',injection_occ)). 2.15/0.73 tff(f321,plain,( 2.15/0.73 ~injective2(sK9,10) | spl19_1), 2.15/0.73 inference(avatar_component_clause,[],[f320])). 2.15/0.73 tff(f436,plain,( 2.15/0.73 spl19_28 | spl19_1), 2.15/0.73 inference(avatar_split_clause,[],[f411,f320,f434])). 2.15/0.73 tff(f434,plain,( 2.15/0.73 spl19_28 <=> tb2t(get(int,int,t2tb1(sK9),t2tb(sK12(sK9,10)))) = tb2t(get(int,int,t2tb1(sK9),t2tb(sK11(sK9,10))))), 2.15/0.73 introduced(avatar_definition,[new_symbols(naming,[spl19_28])])). 2.15/0.73 tff(f411,plain,( 2.15/0.73 tb2t(get(int,int,t2tb1(sK9),t2tb(sK12(sK9,10)))) = tb2t(get(int,int,t2tb1(sK9),t2tb(sK11(sK9,10)))) | spl19_1), 2.15/0.73 inference(resolution,[],[f321,f269])). 2.15/0.73 tff(f269,plain,( 2.15/0.73 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | tb2t(get(int,int,t2tb1(X0),t2tb(sK12(X0,X1)))) = tb2t(get(int,int,t2tb1(X0),t2tb(sK11(X0,X1))))) )), 2.15/0.73 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f168,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : ((injective2(X0,X1) | (tb2t(get(int,int,t2tb1(X0),t2tb(sK12(X0,X1)))) = tb2t(get(int,int,t2tb1(X0),t2tb(sK11(X0,X1)))) & sK11(X0,X1) != sK12(X0,X1) & $less(sK12(X0,X1),X1) & ~$less(sK12(X0,X1),0) & ~$less(sK11(X0,X1),0) & $less(sK11(X0,X1),X1))) & (! [X4 : $int,X5 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X5))) != tb2t(get(int,int,t2tb1(X0),t2tb(X4))) | X4 = X5 | ~$less(X5,X1) | $less(X5,0) | $less(X4,0) | ~$less(X4,X1)) | ~injective2(X0,X1)))), 2.73/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f166,f167])). 2.73/0.75 tff(f167,plain,( 2.73/0.75 ! [X1 : $int,X0 : map_int_int] : (? [X2 : $int,X3 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X3))) = tb2t(get(int,int,t2tb1(X0),t2tb(X2))) & X2 != X3 & $less(X3,X1) & ~$less(X3,0) & ~$less(X2,0) & $less(X2,X1)) => (tb2t(get(int,int,t2tb1(X0),t2tb(sK12(X0,X1)))) = tb2t(get(int,int,t2tb1(X0),t2tb(sK11(X0,X1)))) & sK11(X0,X1) != sK12(X0,X1) & $less(sK12(X0,X1),X1) & ~$less(sK12(X0,X1),0) & ~$less(sK11(X0,X1),0) & $less(sK11(X0,X1),X1)))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f166,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : ((injective2(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X3))) = tb2t(get(int,int,t2tb1(X0),t2tb(X2))) & X2 != X3 & $less(X3,X1) & ~$less(X3,0) & ~$less(X2,0) & $less(X2,X1))) & (! [X4 : $int,X5 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X5))) != tb2t(get(int,int,t2tb1(X0),t2tb(X4))) | X4 = X5 | ~$less(X5,X1) | $less(X5,0) | $less(X4,0) | ~$less(X4,X1)) | ~injective2(X0,X1)))), 2.73/0.75 inference(rectify,[],[f165])). 2.73/0.75 tff(f165,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : ((injective2(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X3))) = tb2t(get(int,int,t2tb1(X0),t2tb(X2))) & X2 != X3 & $less(X3,X1) & ~$less(X3,0) & ~$less(X2,0) & $less(X2,X1))) & (! [X2 : $int,X3 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X3))) != tb2t(get(int,int,t2tb1(X0),t2tb(X2))) | X2 = X3 | ~$less(X3,X1) | $less(X3,0) | $less(X2,0) | ~$less(X2,X1)) | ~injective2(X0,X1)))), 2.73/0.75 inference(nnf_transformation,[],[f119])). 2.73/0.75 tff(f119,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : (injective2(X0,X1) <=> ! [X2 : $int,X3 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb(X3))) != tb2t(get(int,int,t2tb1(X0),t2tb(X2))) | X2 = X3 | ~$less(X3,X1) | $less(X3,0) | $less(X2,0) | ~$less(X2,X1)))), 2.73/0.75 inference(flattening,[],[f118])). 2.73/0.75 tff(f118,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : (injective2(X0,X1) <=> ! [X2 : $int,X3 : $int] : (((tb2t(get(int,int,t2tb1(X0),t2tb(X3))) != tb2t(get(int,int,t2tb1(X0),t2tb(X2))) | X2 = X3) | (~$less(X3,X1) | $less(X3,0))) | ($less(X2,0) | ~$less(X2,X1))))), 2.73/0.75 inference(ennf_transformation,[],[f56])). 2.73/0.75 tff(f56,plain,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : (injective2(X0,X1) <=> ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & $less(X2,X1)) => (($less(X3,X1) & ~$less(X3,0)) => (X2 != X3 => tb2t(get(int,int,t2tb1(X0),t2tb(X3))) != tb2t(get(int,int,t2tb1(X0),t2tb(X2)))))))), 2.73/0.75 inference(theory_normalization,[],[f21])). 2.73/0.75 tff(f21,axiom,( 2.73/0.75 ! [X0 : map_int_int,X1 : $int] : (injective2(X0,X1) <=> ! [X2 : $int,X3 : $int] : (($lesseq(0,X2) & $less(X2,X1)) => (($less(X3,X1) & $lesseq(0,X3)) => (X2 != X3 => tb2t(get(int,int,t2tb1(X0),t2tb(X3))) != tb2t(get(int,int,t2tb1(X0),t2tb(X2)))))))), 2.73/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective_def)). 2.73/0.75 tff(f432,plain,( 2.73/0.75 ~spl19_27 | spl19_1), 2.73/0.75 inference(avatar_split_clause,[],[f410,f320,f430])). 2.73/0.75 tff(f430,plain,( 2.73/0.75 spl19_27 <=> sK11(sK9,10) = sK12(sK9,10)), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_27])])). 2.73/0.75 tff(f410,plain,( 2.73/0.75 sK11(sK9,10) != sK12(sK9,10) | spl19_1), 2.73/0.75 inference(resolution,[],[f321,f268])). 2.73/0.75 tff(f268,plain,( 2.73/0.75 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | sK11(X0,X1) != sK12(X0,X1)) )), 2.73/0.75 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f428,plain,( 2.73/0.75 spl19_26 | spl19_1), 2.73/0.75 inference(avatar_split_clause,[],[f409,f320,f426])). 2.73/0.75 tff(f426,plain,( 2.73/0.75 spl19_26 <=> $less(sK12(sK9,10),10)), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_26])])). 2.73/0.75 tff(f409,plain,( 2.73/0.75 $less(sK12(sK9,10),10) | spl19_1), 2.73/0.75 inference(resolution,[],[f321,f267])). 2.73/0.75 tff(f267,plain,( 2.73/0.75 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | $less(sK12(X0,X1),X1)) )), 2.73/0.75 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f424,plain,( 2.73/0.75 ~spl19_25 | spl19_1), 2.73/0.75 inference(avatar_split_clause,[],[f408,f320,f422])). 2.73/0.75 tff(f422,plain,( 2.73/0.75 spl19_25 <=> $less(sK12(sK9,10),0)), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_25])])). 2.73/0.75 tff(f408,plain,( 2.73/0.75 ~$less(sK12(sK9,10),0) | spl19_1), 2.73/0.75 inference(resolution,[],[f321,f266])). 2.73/0.75 tff(f266,plain,( 2.73/0.75 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | ~$less(sK12(X0,X1),0)) )), 2.73/0.75 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f420,plain,( 2.73/0.75 ~spl19_24 | spl19_1), 2.73/0.75 inference(avatar_split_clause,[],[f407,f320,f418])). 2.73/0.75 tff(f418,plain,( 2.73/0.75 spl19_24 <=> $less(sK11(sK9,10),0)), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_24])])). 2.73/0.75 tff(f407,plain,( 2.73/0.75 ~$less(sK11(sK9,10),0) | spl19_1), 2.73/0.75 inference(resolution,[],[f321,f265])). 2.73/0.75 tff(f265,plain,( 2.73/0.75 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | ~$less(sK11(X0,X1),0)) )), 2.73/0.75 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f416,plain,( 2.73/0.75 spl19_23 | spl19_1), 2.73/0.75 inference(avatar_split_clause,[],[f406,f320,f414])). 2.73/0.75 tff(f414,plain,( 2.73/0.75 spl19_23 <=> $less(sK11(sK9,10),10)), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_23])])). 2.73/0.75 tff(f406,plain,( 2.73/0.75 $less(sK11(sK9,10),10) | spl19_1), 2.73/0.75 inference(resolution,[],[f321,f264])). 2.73/0.75 tff(f264,plain,( 2.73/0.75 ( ! [X0:map_int_int,X1:$int] : (injective2(X0,X1) | $less(sK11(X0,X1),X1)) )), 2.73/0.75 inference(cnf_transformation,[],[f168])). 2.73/0.75 tff(f405,plain,( 2.73/0.75 spl19_22), 2.73/0.75 inference(avatar_split_clause,[],[f190,f403])). 2.73/0.75 tff(f403,plain,( 2.73/0.75 spl19_22 <=> tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = sK0), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_22])])). 2.73/0.75 tff(f190,plain,( 2.73/0.75 tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = sK0), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f158,plain,( 2.73/0.75 (((((((((((~range2(sK9,10) | ~injective2(sK9,10)) & 0 = tb2t(get(int,int,t2tb1(sK9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(sK9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(sK9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(sK9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(sK9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(sK9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(sK9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(sK9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(sK9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(sK9),t2tb(0))) & tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = sK9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = sK8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = sK7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = sK6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = sK5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = sK4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = sK3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = sK2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = sK1 & ~$less(10,0)) & ~$less(1,0) & $less(1,10) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = sK0 & ~$less(10,0)) & ~$less(0,0) & $less(0,10) & ~$less(10,0) & ~$less(10,0)), 2.73/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f113,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148])). 2.73/0.75 tff(f148,plain,( 2.73/0.75 ? [X0 : map_int_int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0)) & ~$less(1,0) & $less(1,10) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & ~$less(10,0)) => (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0)) & ~$less(1,0) & $less(1,10) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = sK0 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f149,plain,( 2.73/0.75 ? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0)) => (? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = X2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = sK1 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f150,plain,( 2.73/0.75 ? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = X2) => (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = sK2)), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f151,plain,( 2.73/0.75 ? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) => (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = sK3 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f152,plain,( 2.73/0.75 ? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) => (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = sK4 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f153,plain,( 2.73/0.75 ? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = X5) => (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = sK5)), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f154,plain,( 2.73/0.75 ? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) => (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = sK6 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f155,plain,( 2.73/0.75 ? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) => (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = sK7 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f156,plain,( 2.73/0.75 ? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = X8) => (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = sK8)), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f157,plain,( 2.73/0.75 ? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) => ((~range2(sK9,10) | ~injective2(sK9,10)) & 0 = tb2t(get(int,int,t2tb1(sK9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(sK9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(sK9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(sK9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(sK9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(sK9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(sK9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(sK9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(sK9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(sK9),t2tb(0))) & tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = sK9 & ~$less(10,0))), 2.73/0.75 introduced(choice_axiom,[])). 2.73/0.75 tff(f113,plain,( 2.73/0.75 ? [X0 : map_int_int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : map_int_int] : (? [X4 : map_int_int] : (? [X5 : map_int_int] : (? [X6 : map_int_int] : (? [X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : map_int_int] : ((~range2(X9,10) | ~injective2(X9,10)) & 0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))) & tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) & $less(9,10) & ~$less(9,0) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) & $less(8,10) & ~$less(8,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) & $less(7,10) & ~$less(7,0) & tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) & ~$less(6,0) & $less(6,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) & ~$less(5,0) & $less(5,10) & tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) & ~$less(4,0) & $less(4,10) & tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) & ~$less(3,0) & $less(3,10) & ~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2) & ~$less(2,0) & $less(2,10) & tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0)) & ~$less(1,0) & $less(1,10) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & ~$less(10,0)) & ~$less(0,0) & $less(0,10) & ~$less(10,0) & ~$less(10,0)), 2.73/0.75 inference(flattening,[],[f112])). 2.73/0.75 tff(f112,plain,( 2.73/0.75 ((? [X0 : map_int_int] : ((? [X1 : map_int_int] : ((? [X2 : map_int_int] : ((? [X3 : map_int_int] : ((? [X4 : map_int_int] : ((? [X5 : map_int_int] : ((? [X6 : map_int_int] : ((? [X7 : map_int_int] : ((? [X8 : map_int_int] : ((? [X9 : map_int_int] : (((~range2(X9,10) | ~injective2(X9,10)) & (0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0))))) & (tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0))) & ($less(9,10) & ~$less(9,0))) & (~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8)) & ($less(8,10) & ~$less(8,0))) & (tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0))) & ($less(7,10) & ~$less(7,0))) & (tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0))) & (~$less(6,0) & $less(6,10))) & (~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5)) & (~$less(5,0) & $less(5,10))) & (tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0))) & (~$less(4,0) & $less(4,10))) & (tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0))) & (~$less(3,0) & $less(3,10))) & (~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2)) & (~$less(2,0) & $less(2,10))) & (tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0))) & (~$less(1,0) & $less(1,10))) & (tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & ~$less(10,0))) & (~$less(0,0) & $less(0,10))) & ~$less(10,0)) & ~$less(10,0)), 2.73/0.75 inference(ennf_transformation,[],[f69])). 2.73/0.75 tff(f69,plain,( 2.73/0.75 ~(~$less(10,0) => (~$less(10,0) => ((~$less(0,0) & $less(0,10)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & ~$less(10,0)) => ((~$less(1,0) & $less(1,10)) => ! [X1 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X1 & ~$less(10,0)) => ((~$less(2,0) & $less(2,10)) => ! [X2 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X1),t2tb(2),t2tb(8))) = X2) => ((~$less(3,0) & $less(3,10)) => ! [X3 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X2),t2tb(3),t2tb(2))) = X3 & ~$less(10,0)) => ((~$less(4,0) & $less(4,10)) => ! [X4 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X3),t2tb(4),t2tb(7))) = X4 & ~$less(10,0)) => ((~$less(5,0) & $less(5,10)) => ! [X5 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X4),t2tb(5),t2tb(4))) = X5) => ((~$less(6,0) & $less(6,10)) => ! [X6 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X5),t2tb(6),t2tb(0))) = X6 & ~$less(10,0)) => (($less(7,10) & ~$less(7,0)) => ! [X7 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X6),t2tb(7),t2tb(1))) = X7 & ~$less(10,0)) => (($less(8,10) & ~$less(8,0)) => ! [X8 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X7),t2tb(8),t2tb(5))) = X8) => (($less(9,10) & ~$less(9,0)) => ! [X9 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X8),t2tb(9),t2tb(6))) = X9 & ~$less(10,0)) => ((0 = tb2t(get(int,int,t2tb1(X9),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X9),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X9),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X9),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X9),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X9),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X9),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X9),t2tb(2))) & 3 = tb2t(get(int,int,t2tb1(X9),t2tb(1))) & 9 = tb2t(get(int,int,t2tb1(X9),t2tb(0)))) => (range2(X9,10) & injective2(X9,10)))))))))))))))))))))))))), 2.73/0.75 inference(rectify,[],[f54])). 2.73/0.75 tff(f54,plain,( 2.73/0.75 ~(~$less(10,0) => (~$less(10,0) => ((~$less(0,0) & $less(0,10)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & ~$less(10,0)) => ((~$less(1,0) & $less(1,10)) => ! [X6 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X6 & ~$less(10,0)) => ((~$less(2,0) & $less(2,10)) => ! [X7 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X6),t2tb(2),t2tb(8))) = X7) => ((~$less(3,0) & $less(3,10)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X7),t2tb(3),t2tb(2))) = X21 & ~$less(10,0)) => ((~$less(4,0) & $less(4,10)) => ! [X22 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X21),t2tb(4),t2tb(7))) = X22 & ~$less(10,0)) => ((~$less(5,0) & $less(5,10)) => ! [X23 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X22),t2tb(5),t2tb(4))) = X23) => ((~$less(6,0) & $less(6,10)) => ! [X24 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X23),t2tb(6),t2tb(0))) = X24 & ~$less(10,0)) => (($less(7,10) & ~$less(7,0)) => ! [X25 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X24),t2tb(7),t2tb(1))) = X25 & ~$less(10,0)) => (($less(8,10) & ~$less(8,0)) => ! [X26 : map_int_int] : ((~$less(10,0) & tb2t1(set(int,int,t2tb1(X25),t2tb(8),t2tb(5))) = X26) => (($less(9,10) & ~$less(9,0)) => ! [X27 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X26),t2tb(9),t2tb(6))) = X27 & ~$less(10,0)) => ((0 = tb2t(get(int,int,t2tb1(X27),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X27),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X27),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X27),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X27),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X27),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X27),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X27),t2tb(2))) & tb2t(get(int,int,t2tb1(X27),t2tb(1))) = 3 & 9 = tb2t(get(int,int,t2tb1(X27),t2tb(0)))) => (range2(X27,10) & injective2(X27,10)))))))))))))))))))))))))), 2.73/0.75 inference(theory_normalization,[],[f38])). 2.73/0.75 tff(f38,negated_conjecture,( 2.73/0.75 ~($lesseq(0,10) => ($lesseq(0,10) => (($lesseq(0,0) & $less(0,10)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & $lesseq(0,10)) => (($lesseq(0,1) & $less(1,10)) => ! [X6 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X6 & $lesseq(0,10)) => (($lesseq(0,2) & $less(2,10)) => ! [X7 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X6),t2tb(2),t2tb(8))) = X7) => (($lesseq(0,3) & $less(3,10)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X7),t2tb(3),t2tb(2))) = X21 & $lesseq(0,10)) => (($lesseq(0,4) & $less(4,10)) => ! [X22 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X21),t2tb(4),t2tb(7))) = X22 & $lesseq(0,10)) => (($lesseq(0,5) & $less(5,10)) => ! [X23 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X22),t2tb(5),t2tb(4))) = X23) => (($lesseq(0,6) & $less(6,10)) => ! [X24 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X23),t2tb(6),t2tb(0))) = X24 & $lesseq(0,10)) => (($less(7,10) & $lesseq(0,7)) => ! [X25 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X24),t2tb(7),t2tb(1))) = X25 & $lesseq(0,10)) => (($less(8,10) & $lesseq(0,8)) => ! [X26 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X25),t2tb(8),t2tb(5))) = X26) => (($less(9,10) & $lesseq(0,9)) => ! [X27 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X26),t2tb(9),t2tb(6))) = X27 & $lesseq(0,10)) => ((0 = tb2t(get(int,int,t2tb1(X27),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X27),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X27),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X27),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X27),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X27),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X27),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X27),t2tb(2))) & tb2t(get(int,int,t2tb1(X27),t2tb(1))) = 3 & 9 = tb2t(get(int,int,t2tb1(X27),t2tb(0)))) => (range2(X27,10) & injective2(X27,10)))))))))))))))))))))))))), 2.73/0.75 inference(negated_conjecture,[],[f37])). 2.73/0.75 tff(f37,conjecture,( 2.73/0.75 $lesseq(0,10) => ($lesseq(0,10) => (($lesseq(0,0) & $less(0,10)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb(9))) = X0 & $lesseq(0,10)) => (($lesseq(0,1) & $less(1,10)) => ! [X6 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X0),t2tb(1),t2tb(3))) = X6 & $lesseq(0,10)) => (($lesseq(0,2) & $less(2,10)) => ! [X7 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X6),t2tb(2),t2tb(8))) = X7) => (($lesseq(0,3) & $less(3,10)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X7),t2tb(3),t2tb(2))) = X21 & $lesseq(0,10)) => (($lesseq(0,4) & $less(4,10)) => ! [X22 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X21),t2tb(4),t2tb(7))) = X22 & $lesseq(0,10)) => (($lesseq(0,5) & $less(5,10)) => ! [X23 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X22),t2tb(5),t2tb(4))) = X23) => (($lesseq(0,6) & $less(6,10)) => ! [X24 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X23),t2tb(6),t2tb(0))) = X24 & $lesseq(0,10)) => (($less(7,10) & $lesseq(0,7)) => ! [X25 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X24),t2tb(7),t2tb(1))) = X25 & $lesseq(0,10)) => (($less(8,10) & $lesseq(0,8)) => ! [X26 : map_int_int] : (($lesseq(0,10) & tb2t1(set(int,int,t2tb1(X25),t2tb(8),t2tb(5))) = X26) => (($less(9,10) & $lesseq(0,9)) => ! [X27 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X26),t2tb(9),t2tb(6))) = X27 & $lesseq(0,10)) => ((0 = tb2t(get(int,int,t2tb1(X27),t2tb(6))) & 1 = tb2t(get(int,int,t2tb1(X27),t2tb(7))) & 6 = tb2t(get(int,int,t2tb1(X27),t2tb(9))) & 5 = tb2t(get(int,int,t2tb1(X27),t2tb(8))) & 4 = tb2t(get(int,int,t2tb1(X27),t2tb(5))) & 7 = tb2t(get(int,int,t2tb1(X27),t2tb(4))) & 2 = tb2t(get(int,int,t2tb1(X27),t2tb(3))) & 8 = tb2t(get(int,int,t2tb1(X27),t2tb(2))) & tb2t(get(int,int,t2tb1(X27),t2tb(1))) = 3 & 9 = tb2t(get(int,int,t2tb1(X27),t2tb(0)))) => (range2(X27,10) & injective2(X27,10))))))))))))))))))))))))), 2.73/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_test)). 2.73/0.75 tff(f401,plain,( 2.73/0.75 spl19_21), 2.73/0.75 inference(avatar_split_clause,[],[f194,f399])). 2.73/0.75 tff(f399,plain,( 2.73/0.75 spl19_21 <=> tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = sK1), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_21])])). 2.73/0.75 tff(f194,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK0),t2tb(1),t2tb(3))) = sK1), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f397,plain,( 2.73/0.75 spl19_20), 2.73/0.75 inference(avatar_split_clause,[],[f197,f395])). 2.73/0.75 tff(f395,plain,( 2.73/0.75 spl19_20 <=> tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = sK2), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_20])])). 2.73/0.75 tff(f197,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK1),t2tb(2),t2tb(8))) = sK2), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f393,plain,( 2.73/0.75 spl19_19), 2.73/0.75 inference(avatar_split_clause,[],[f202,f391])). 2.73/0.75 tff(f391,plain,( 2.73/0.75 spl19_19 <=> tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = sK3), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_19])])). 2.73/0.75 tff(f202,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK2),t2tb(3),t2tb(2))) = sK3), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f389,plain,( 2.73/0.75 spl19_18), 2.73/0.75 inference(avatar_split_clause,[],[f206,f387])). 2.73/0.75 tff(f387,plain,( 2.73/0.75 spl19_18 <=> tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = sK4), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_18])])). 2.73/0.75 tff(f206,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK3),t2tb(4),t2tb(7))) = sK4), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f385,plain,( 2.73/0.75 spl19_17), 2.73/0.75 inference(avatar_split_clause,[],[f209,f383])). 2.73/0.75 tff(f383,plain,( 2.73/0.75 spl19_17 <=> tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = sK5), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_17])])). 2.73/0.75 tff(f209,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK4),t2tb(5),t2tb(4))) = sK5), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f381,plain,( 2.73/0.75 spl19_16), 2.73/0.75 inference(avatar_split_clause,[],[f214,f379])). 2.73/0.75 tff(f379,plain,( 2.73/0.75 spl19_16 <=> tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = sK6), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_16])])). 2.73/0.75 tff(f214,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK5),t2tb(6),t2tb(0))) = sK6), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f377,plain,( 2.73/0.75 spl19_15), 2.73/0.75 inference(avatar_split_clause,[],[f218,f375])). 2.73/0.75 tff(f375,plain,( 2.73/0.75 spl19_15 <=> tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = sK7), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_15])])). 2.73/0.75 tff(f218,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK6),t2tb(7),t2tb(1))) = sK7), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f373,plain,( 2.73/0.75 spl19_14), 2.73/0.75 inference(avatar_split_clause,[],[f221,f371])). 2.73/0.75 tff(f371,plain,( 2.73/0.75 spl19_14 <=> tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = sK8), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_14])])). 2.73/0.75 tff(f221,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK7),t2tb(8),t2tb(5))) = sK8), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f369,plain,( 2.73/0.75 spl19_13), 2.73/0.75 inference(avatar_split_clause,[],[f226,f367])). 2.73/0.75 tff(f367,plain,( 2.73/0.75 spl19_13 <=> tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = sK9), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_13])])). 2.73/0.75 tff(f226,plain,( 2.73/0.75 tb2t1(set(int,int,t2tb1(sK8),t2tb(9),t2tb(6))) = sK9), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f365,plain,( 2.73/0.75 spl19_12), 2.73/0.75 inference(avatar_split_clause,[],[f227,f363])). 2.73/0.75 tff(f363,plain,( 2.73/0.75 spl19_12 <=> 9 = tb2t(get(int,int,t2tb1(sK9),t2tb(0)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_12])])). 2.73/0.75 tff(f227,plain,( 2.73/0.75 9 = tb2t(get(int,int,t2tb1(sK9),t2tb(0)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f361,plain,( 2.73/0.75 spl19_11), 2.73/0.75 inference(avatar_split_clause,[],[f228,f359])). 2.73/0.75 tff(f359,plain,( 2.73/0.75 spl19_11 <=> 3 = tb2t(get(int,int,t2tb1(sK9),t2tb(1)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_11])])). 2.73/0.75 tff(f228,plain,( 2.73/0.75 3 = tb2t(get(int,int,t2tb1(sK9),t2tb(1)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f357,plain,( 2.73/0.75 spl19_10), 2.73/0.75 inference(avatar_split_clause,[],[f229,f355])). 2.73/0.75 tff(f355,plain,( 2.73/0.75 spl19_10 <=> 8 = tb2t(get(int,int,t2tb1(sK9),t2tb(2)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_10])])). 2.73/0.75 tff(f229,plain,( 2.73/0.75 8 = tb2t(get(int,int,t2tb1(sK9),t2tb(2)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f353,plain,( 2.73/0.75 spl19_9), 2.73/0.75 inference(avatar_split_clause,[],[f230,f351])). 2.73/0.75 tff(f351,plain,( 2.73/0.75 spl19_9 <=> 2 = tb2t(get(int,int,t2tb1(sK9),t2tb(3)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_9])])). 2.73/0.75 tff(f230,plain,( 2.73/0.75 2 = tb2t(get(int,int,t2tb1(sK9),t2tb(3)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f349,plain,( 2.73/0.75 spl19_8), 2.73/0.75 inference(avatar_split_clause,[],[f231,f347])). 2.73/0.75 tff(f347,plain,( 2.73/0.75 spl19_8 <=> 7 = tb2t(get(int,int,t2tb1(sK9),t2tb(4)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_8])])). 2.73/0.75 tff(f231,plain,( 2.73/0.75 7 = tb2t(get(int,int,t2tb1(sK9),t2tb(4)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f345,plain,( 2.73/0.75 spl19_7), 2.73/0.75 inference(avatar_split_clause,[],[f232,f343])). 2.73/0.75 tff(f343,plain,( 2.73/0.75 spl19_7 <=> 4 = tb2t(get(int,int,t2tb1(sK9),t2tb(5)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_7])])). 2.73/0.75 tff(f232,plain,( 2.73/0.75 4 = tb2t(get(int,int,t2tb1(sK9),t2tb(5)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f341,plain,( 2.73/0.75 spl19_6), 2.73/0.75 inference(avatar_split_clause,[],[f233,f339])). 2.73/0.75 tff(f339,plain,( 2.73/0.75 spl19_6 <=> 5 = tb2t(get(int,int,t2tb1(sK9),t2tb(8)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_6])])). 2.73/0.75 tff(f233,plain,( 2.73/0.75 5 = tb2t(get(int,int,t2tb1(sK9),t2tb(8)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f337,plain,( 2.73/0.75 spl19_5), 2.73/0.75 inference(avatar_split_clause,[],[f234,f335])). 2.73/0.75 tff(f335,plain,( 2.73/0.75 spl19_5 <=> 6 = tb2t(get(int,int,t2tb1(sK9),t2tb(9)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_5])])). 2.73/0.75 tff(f234,plain,( 2.73/0.75 6 = tb2t(get(int,int,t2tb1(sK9),t2tb(9)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f333,plain,( 2.73/0.75 spl19_4), 2.73/0.75 inference(avatar_split_clause,[],[f235,f331])). 2.73/0.75 tff(f331,plain,( 2.73/0.75 spl19_4 <=> 1 = tb2t(get(int,int,t2tb1(sK9),t2tb(7)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_4])])). 2.73/0.75 tff(f235,plain,( 2.73/0.75 1 = tb2t(get(int,int,t2tb1(sK9),t2tb(7)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f329,plain,( 2.73/0.75 spl19_3), 2.73/0.75 inference(avatar_split_clause,[],[f236,f327])). 2.73/0.75 tff(f327,plain,( 2.73/0.75 spl19_3 <=> 0 = tb2t(get(int,int,t2tb1(sK9),t2tb(6)))), 2.73/0.75 introduced(avatar_definition,[new_symbols(naming,[spl19_3])])). 2.73/0.75 tff(f236,plain,( 2.73/0.75 0 = tb2t(get(int,int,t2tb1(sK9),t2tb(6)))), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 tff(f325,plain,( 2.73/0.75 ~spl19_1 | ~spl19_2), 2.73/0.75 inference(avatar_split_clause,[],[f237,f323,f320])). 2.73/0.75 tff(f237,plain,( 2.73/0.75 ~range2(sK9,10) | ~injective2(sK9,10)), 2.73/0.75 inference(cnf_transformation,[],[f158])). 2.73/0.75 % SZS output end Proof for theBenchmark 2.73/0.75 % (29371)------------------------------ 2.73/0.75 % (29371)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.73/0.75 % (29371)Termination reason: Refutation 2.73/0.75 2.73/0.75 % (29371)Memory used [KB]: 6524 2.73/0.75 % (29371)Time elapsed: 0.289 s 2.73/0.75 % (29371)------------------------------ 2.73/0.75 % (29371)------------------------------ 2.73/0.76 % (29342)Success in time 0.385 s 2.73/0.76 EOF