0.10/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.16 % Command : run_vampire %s %d 0.15/0.38 % Computer : n007.cluster.edu 0.15/0.38 % Model : x86_64 x86_64 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.38 % Memory : 8042.1875MB 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.38 % CPULimit : 960 0.15/0.38 % WCLimit : 120 0.15/0.38 % DateTime : Thu Jul 2 07:47:24 EDT 2020 0.15/0.38 % CPUTime : 0.25/0.55 % (10958)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 0.25/0.55 % (10960)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 0.25/0.55 % (10959)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 0.25/0.55 % (10957)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 0.25/0.56 % (10974)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 0.25/0.56 % (10973)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 0.25/0.56 % (10976)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 0.25/0.56 % (10951)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 0.25/0.56 % (10966)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 0.25/0.56 % (10975)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 0.25/0.57 % (10968)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 0.25/0.57 % (10965)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 0.25/0.57 % (10967)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 0.25/0.57 % (10962)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 0.25/0.57 % (10952)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 0.25/0.58 % (10956)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 0.25/0.58 % (10953)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 0.25/0.59 % (10972)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 0.25/0.60 % (10964)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 0.25/0.60 % (10971)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 0.25/0.60 % (10979)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 0.25/0.61 % (10963)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 0.25/0.61 % (10969)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 0.25/0.61 % (10980)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 0.25/0.62 % (10954)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 0.25/0.62 % (10978)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 1.67/0.62 % (10961)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 1.67/0.63 % (10971)Refutation not found, incomplete strategy% (10971)------------------------------ 1.67/0.63 % (10971)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.67/0.63 % (10971)Termination reason: Refutation not found, incomplete strategy 1.67/0.63 1.67/0.63 % (10971)Memory used [KB]: 6268 1.67/0.63 % (10971)Time elapsed: 0.128 s 1.67/0.63 % (10971)------------------------------ 1.67/0.63 % (10971)------------------------------ 1.67/0.63 % (10981)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 1.67/0.63 % (10977)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 1.67/0.64 % (10970)WARNING: option uwaf not known. 1.67/0.65 % (10970)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 1.93/0.66 % (10963)Refutation not found, incomplete strategy% (10963)------------------------------ 1.93/0.66 % (10963)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.93/0.66 % (10963)Termination reason: Refutation not found, incomplete strategy 1.93/0.66 1.93/0.66 % (10963)Memory used [KB]: 6396 1.93/0.66 % (10963)Time elapsed: 0.158 s 1.93/0.66 % (10963)------------------------------ 1.93/0.66 % (10963)------------------------------ 2.27/0.73 % (10981)Refutation not found, incomplete strategy% (10981)------------------------------ 2.27/0.73 % (10981)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.27/0.73 % (10981)Termination reason: Refutation not found, incomplete strategy 2.27/0.73 2.27/0.73 % (10981)Memory used [KB]: 11129 2.27/0.73 % (10981)Time elapsed: 0.264 s 2.27/0.73 % (10981)------------------------------ 2.27/0.73 % (10981)------------------------------ 2.56/0.75 % (10975)Refutation not found, incomplete strategy% (10975)------------------------------ 2.56/0.75 % (10975)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.56/0.76 % (10975)Termination reason: Refutation not found, incomplete strategy 2.56/0.76 2.56/0.76 % (10975)Memory used [KB]: 6268 2.56/0.76 % (10975)Time elapsed: 0.290 s 2.56/0.76 % (10975)------------------------------ 2.56/0.76 % (10975)------------------------------ 2.56/0.81 % (10982)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 2.56/0.83 % (10983)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 3.22/0.87 % (10984)WARNING: option uwaf not known. 3.22/0.89 % (10969)Refutation not found, incomplete strategy% (10969)------------------------------ 3.22/0.89 % (10969)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.22/0.89 % (10984)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 3.64/0.89 % (10969)Termination reason: Refutation not found, incomplete strategy 3.64/0.89 3.64/0.89 % (10969)Memory used [KB]: 6396 3.64/0.89 % (10969)Time elapsed: 0.435 s 3.64/0.89 % (10969)------------------------------ 3.64/0.89 % (10969)------------------------------ 3.64/0.92 % (10985)dis+11_3_afp=100000:afq=2.0:amm=sco:anc=none:gs=on:gsem=off:inw=on:lma=on:nm=64:nwc=1:sas=z3:sd=10:ss=axioms:st=5.0:sp=occurrence:tha=off:updr=off_202 on theBenchmark 4.08/1.00 % (10973)Time limit reached! 4.08/1.00 % (10973)------------------------------ 4.08/1.00 % (10973)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.08/1.00 % (10973)Termination reason: Time limit 4.08/1.00 % (10973)Termination phase: Saturation 4.08/1.00 4.08/1.00 % (10973)Memory used [KB]: 15991 4.08/1.00 % (10973)Time elapsed: 0.500 s 4.08/1.00 % (10973)------------------------------ 4.08/1.00 % (10973)------------------------------ 4.34/1.01 % (10962)Time limit reached! 4.34/1.01 % (10962)------------------------------ 4.34/1.01 % (10962)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.34/1.01 % (10962)Termination reason: Time limit 4.34/1.01 % (10962)Termination phase: Saturation 4.34/1.01 4.34/1.01 % (10962)Memory used [KB]: 6268 4.34/1.01 % (10962)Time elapsed: 0.500 s 4.34/1.01 % (10962)------------------------------ 4.34/1.01 % (10962)------------------------------ 4.62/1.10 % (10986)lrs-11_4_awrs=decay:awrsf=64:afp=1000:afq=2.0:amm=off:anc=none:br=off:cond=on:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:nm=32:nwc=1.1:stl=30:s2a=on:sos=theory:sac=on:sp=frequency:tha=some:thi=new:urr=on:uhcvi=on_6 on theBenchmark 4.62/1.11 % (10964)Refutation found. Thanks to Tanya! 4.62/1.11 % SZS status Theorem for theBenchmark 4.62/1.11 % SZS output start Proof for theBenchmark 4.62/1.11 tff(type_def_5, type, uni: $tType). 4.62/1.11 tff(type_def_6, type, ty: $tType). 4.62/1.11 tff(type_def_7, type, bool1: $tType). 4.62/1.11 tff(type_def_8, type, tuple02: $tType). 4.62/1.11 tff(type_def_9, type, array_int: $tType). 4.62/1.11 tff(type_def_10, type, map_int_int: $tType). 4.62/1.11 tff(func_def_0, type, witness1: ty > uni). 4.62/1.11 tff(func_def_1, type, int: ty). 4.62/1.11 tff(func_def_2, type, real: ty). 4.62/1.11 tff(func_def_3, type, bool: ty). 4.62/1.11 tff(func_def_4, type, true1: bool1). 4.62/1.11 tff(func_def_5, type, false1: bool1). 4.62/1.11 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 4.62/1.11 tff(func_def_7, type, tuple0: ty). 4.62/1.11 tff(func_def_8, type, tuple03: tuple02). 4.62/1.11 tff(func_def_9, type, qtmark: ty). 4.62/1.11 tff(func_def_10, type, ref: ty > ty). 4.62/1.11 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 4.62/1.11 tff(func_def_12, type, contents: (ty * uni) > uni). 4.62/1.11 tff(func_def_13, type, map: (ty * ty) > ty). 4.62/1.11 tff(func_def_14, type, get: (ty * ty * uni * uni) > uni). 4.62/1.11 tff(func_def_15, type, set: (ty * ty * uni * uni * uni) > uni). 4.62/1.11 tff(func_def_16, type, const: (ty * ty * uni) > uni). 4.62/1.11 tff(func_def_17, type, array: ty > ty). 4.62/1.11 tff(func_def_18, type, mk_array1: (ty * $int * uni) > uni). 4.62/1.11 tff(func_def_19, type, length1: (ty * uni) > $int). 4.62/1.11 tff(func_def_20, type, elts: (ty * uni) > uni). 4.62/1.11 tff(func_def_21, type, get2: (ty * uni * $int) > uni). 4.62/1.11 tff(func_def_22, type, t2tb: $int > uni). 4.62/1.11 tff(func_def_23, type, tb2t: uni > $int). 4.62/1.11 tff(func_def_24, type, set2: (ty * uni * $int * uni) > uni). 4.62/1.11 tff(func_def_25, type, make1: (ty * $int * uni) > uni). 4.62/1.11 tff(func_def_26, type, t2tb1: array_int > uni). 4.62/1.11 tff(func_def_27, type, tb2t1: uni > array_int). 4.62/1.11 tff(func_def_28, type, t2tb2: map_int_int > uni). 4.62/1.11 tff(func_def_29, type, tb2t2: uni > map_int_int). 4.62/1.11 tff(func_def_36, type, sK0: $int). 4.62/1.11 tff(func_def_37, type, sK1: map_int_int). 4.62/1.11 tff(func_def_38, type, sK2: $int). 4.62/1.11 tff(func_def_39, type, sK3: $int). 4.62/1.11 tff(func_def_40, type, sK4: $int). 4.62/1.11 tff(func_def_41, type, sK5: $int). 4.62/1.11 tff(func_def_42, type, sK6: array_int > $int). 4.62/1.11 tff(pred_def_1, type, sort1: (ty * uni) > $o). 4.62/1.11 tff(pred_def_2, type, decrease11: array_int > $o). 4.62/1.11 tff(f1423,plain,( 4.62/1.11 $false), 4.62/1.11 inference(avatar_sat_refutation,[],[f203,f208,f213,f214,f215,f216,f217,f218,f219,f240,f245,f250,f251,f264,f269,f278,f293,f300,f306,f322,f332,f344,f351,f358,f374,f384,f455,f538,f565,f567,f587,f602,f607,f614,f620,f625,f637,f645,f649,f663,f681,f708,f732,f736,f770,f788,f814,f828,f858,f879,f903,f940,f963,f983,f1030,f1071,f1405,f1422])). 4.62/1.11 tff(f1422,plain,( 4.62/1.11 ~spl7_30 | ~spl7_7 | ~spl7_63), 4.62/1.11 inference(avatar_split_clause,[],[f1415,f1399,f247,f611])). 4.62/1.11 tff(f611,plain,( 4.62/1.11 spl7_30 <=> $less(sK4,sK0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_30])])). 4.62/1.11 tff(f247,plain,( 4.62/1.11 spl7_7 <=> decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_7])])). 4.62/1.11 tff(f1399,plain,( 4.62/1.11 spl7_63 <=> ! [X0 : $int] : (~$less(sK4,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_63])])). 4.62/1.11 tff(f1415,plain,( 4.62/1.11 ~$less(sK4,sK0) | (~spl7_7 | ~spl7_63)), 4.62/1.11 inference(resolution,[],[f1400,f249])). 4.62/1.11 tff(f249,plain,( 4.62/1.11 decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1)))) | ~spl7_7), 4.62/1.11 inference(avatar_component_clause,[],[f247])). 4.62/1.11 tff(f1400,plain,( 4.62/1.11 ( ! [X0:$int] : (~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~$less(sK4,X0)) ) | ~spl7_63), 4.62/1.11 inference(avatar_component_clause,[],[f1399])). 4.62/1.11 tff(f1405,plain,( 4.62/1.11 ~spl7_24 | spl7_63 | ~spl7_64 | ~spl7_34 | ~spl7_37), 4.62/1.11 inference(avatar_split_clause,[],[f1397,f679,f642,f1402,f1399,f555])). 4.62/1.11 tff(f555,plain,( 4.62/1.11 spl7_24 <=> sort1(map(int,int),t2tb2(sK1))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_24])])). 4.62/1.11 tff(f1402,plain,( 4.62/1.11 spl7_64 <=> $less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK4)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_64])])). 4.62/1.11 tff(f642,plain,( 4.62/1.11 spl7_34 <=> get(int,int,t2tb2(sK1),t2tb(sK4)) = t2tb(0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_34])])). 4.62/1.11 tff(f679,plain,( 4.62/1.11 spl7_37 <=> ! [X1 : array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK4))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK4))) | ~decrease11(X1) | ~$less(sK4,length1(int,t2tb1(X1))))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_37])])). 4.62/1.11 tff(f1397,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK4))) | ~$less(sK4,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~sort1(map(int,int),t2tb2(sK1))) ) | (~spl7_34 | ~spl7_37)), 4.62/1.11 inference(forward_demodulation,[],[f1389,f148])). 4.62/1.11 tff(f148,plain,( 4.62/1.11 ( ! [X0:$int] : (tb2t(t2tb(X0)) = X0) )), 4.62/1.11 inference(cnf_transformation,[],[f55])). 4.62/1.11 tff(f55,plain,( 4.62/1.11 ! [X0 : $int] : tb2t(t2tb(X0)) = X0), 4.62/1.11 inference(rectify,[],[f19])). 4.62/1.11 tff(f19,axiom,( 4.62/1.11 ! [X10 : $int] : tb2t(t2tb(X10)) = X10), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 4.62/1.11 tff(f1389,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK4))) | ~$less(sK4,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~sort1(map(int,int),t2tb2(sK1))) ) | (~spl7_34 | ~spl7_37)), 4.62/1.11 inference(superposition,[],[f694,f644])). 4.62/1.11 tff(f644,plain,( 4.62/1.11 get(int,int,t2tb2(sK1),t2tb(sK4)) = t2tb(0) | ~spl7_34), 4.62/1.11 inference(avatar_component_clause,[],[f642])). 4.62/1.11 tff(f694,plain,( 4.62/1.11 ( ! [X0:$int,X1:uni] : (~$less(tb2t(get(int,int,X1,t2tb(sK4))),$sum($sum(tb2t(get(int,int,X1,t2tb(sK2))),sK2),$uminus(sK4))) | ~$less(sK4,X0) | ~decrease11(tb2t1(mk_array1(int,X0,X1))) | ~sort1(map(int,int),X1)) ) | ~spl7_37), 4.62/1.11 inference(forward_demodulation,[],[f692,f166])). 4.62/1.11 tff(f166,plain,( 4.62/1.11 ( ! [X2:uni,X0:ty,X1:$int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 4.62/1.11 inference(cnf_transformation,[],[f68])). 4.62/1.11 tff(f68,plain,( 4.62/1.11 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 4.62/1.11 inference(rectify,[],[f21])). 4.62/1.11 tff(f21,axiom,( 4.62/1.11 ! [X3 : ty,X14 : $int,X15 : uni] : length1(X3,mk_array1(X3,X14,X15)) = X14), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def1)). 4.62/1.11 tff(f692,plain,( 4.62/1.11 ( ! [X0:$int,X1:uni] : (~$less(tb2t(get(int,int,X1,t2tb(sK4))),$sum($sum(tb2t(get(int,int,X1,t2tb(sK2))),sK2),$uminus(sK4))) | ~decrease11(tb2t1(mk_array1(int,X0,X1))) | ~$less(sK4,length1(int,mk_array1(int,X0,X1))) | ~sort1(map(int,int),X1)) ) | ~spl7_37), 4.62/1.11 inference(superposition,[],[f688,f173])). 4.62/1.11 tff(f173,plain,( 4.62/1.11 ( ! [X2:uni,X0:ty,X1:$int] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2)) )), 4.62/1.11 inference(cnf_transformation,[],[f95])). 4.62/1.11 tff(f95,plain,( 4.62/1.11 ! [X0 : ty,X1 : $int,X2 : uni] : (elts(X0,mk_array1(X0,X1,X2)) = X2 | ~sort1(map(int,X0),X2))), 4.62/1.11 inference(ennf_transformation,[],[f74])). 4.62/1.11 tff(f74,plain,( 4.62/1.11 ! [X0 : ty,X1 : $int,X2 : uni] : (sort1(map(int,X0),X2) => elts(X0,mk_array1(X0,X1,X2)) = X2)), 4.62/1.11 inference(rectify,[],[f13])). 4.62/1.11 tff(f13,axiom,( 4.62/1.11 ! [X3 : ty,X14 : $int,X15 : uni] : (sort1(map(int,X3),X15) => elts(X3,mk_array1(X3,X14,X15)) = X15)), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def1)). 4.62/1.11 tff(f688,plain,( 4.62/1.11 ( ! [X0:uni] : (~$less(tb2t(get(int,int,elts(int,X0),t2tb(sK4))),$sum($sum(tb2t(get(int,int,elts(int,X0),t2tb(sK2))),sK2),$uminus(sK4))) | ~decrease11(tb2t1(X0)) | ~$less(sK4,length1(int,X0))) ) | ~spl7_37), 4.62/1.11 inference(superposition,[],[f680,f145])). 4.62/1.11 tff(f145,plain,( 4.62/1.11 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 4.62/1.11 inference(cnf_transformation,[],[f52])). 4.62/1.11 tff(f52,plain,( 4.62/1.11 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 4.62/1.11 inference(rectify,[],[f5])). 4.62/1.11 tff(f5,axiom,( 4.62/1.11 ! [X9 : uni] : t2tb1(tb2t1(X9)) = X9), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 4.62/1.11 tff(f680,plain,( 4.62/1.11 ( ! [X1:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK4))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK4))) | ~decrease11(X1) | ~$less(sK4,length1(int,t2tb1(X1)))) ) | ~spl7_37), 4.62/1.11 inference(avatar_component_clause,[],[f679])). 4.62/1.11 tff(f1071,plain,( 4.62/1.11 spl7_44 | spl7_62 | ~spl7_34 | ~spl7_42), 4.62/1.11 inference(avatar_split_clause,[],[f755,f734,f642,f1069,f763])). 4.62/1.11 tff(f763,plain,( 4.62/1.11 spl7_44 <=> $less(sK4,0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_44])])). 4.62/1.11 tff(f1069,plain,( 4.62/1.11 spl7_62 <=> ! [X2 : $int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),$sum($sum(0,sK4),$uminus(X2))) | ~$less(X2,sK0) | $less(X2,sK4))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_62])])). 4.62/1.11 tff(f734,plain,( 4.62/1.11 spl7_42 <=> ! [X1 : $int,X0 : $int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),$uminus(X0))) | $less(X0,X1) | $less(X1,0) | ~$less(X0,sK0))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_42])])). 4.62/1.11 tff(f755,plain,( 4.62/1.11 ( ! [X2:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),$sum($sum(0,sK4),$uminus(X2))) | $less(X2,sK4) | $less(sK4,0) | ~$less(X2,sK0)) ) | (~spl7_34 | ~spl7_42)), 4.62/1.11 inference(forward_demodulation,[],[f748,f148])). 4.62/1.11 tff(f748,plain,( 4.62/1.11 ( ! [X2:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),$sum($sum(tb2t(t2tb(0)),sK4),$uminus(X2))) | $less(X2,sK4) | $less(sK4,0) | ~$less(X2,sK0)) ) | (~spl7_34 | ~spl7_42)), 4.62/1.11 inference(superposition,[],[f735,f644])). 4.62/1.11 tff(f735,plain,( 4.62/1.11 ( ! [X0:$int,X1:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),$uminus(X0))) | $less(X0,X1) | $less(X1,0) | ~$less(X0,sK0)) ) | ~spl7_42), 4.62/1.11 inference(avatar_component_clause,[],[f734])). 4.62/1.11 tff(f1030,plain,( 4.62/1.11 spl7_40 | spl7_61 | ~spl7_18 | ~spl7_42), 4.62/1.11 inference(avatar_split_clause,[],[f754,f734,f348,f1028,f725])). 4.62/1.11 tff(f725,plain,( 4.62/1.11 spl7_40 <=> $less(sK5,0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_40])])). 4.62/1.11 tff(f1028,plain,( 4.62/1.11 spl7_61 <=> ! [X0 : $int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(0,sK5),$uminus(X0))) | ~$less(X0,sK0) | $less(X0,sK5))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_61])])). 4.62/1.11 tff(f348,plain,( 4.62/1.11 spl7_18 <=> get(int,int,t2tb2(sK1),t2tb(sK5)) = t2tb(0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_18])])). 4.62/1.11 tff(f754,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(0,sK5),$uminus(X0))) | $less(X0,sK5) | $less(sK5,0) | ~$less(X0,sK0)) ) | (~spl7_18 | ~spl7_42)), 4.62/1.11 inference(forward_demodulation,[],[f746,f148])). 4.62/1.11 tff(f746,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(tb2t(t2tb(0)),sK5),$uminus(X0))) | $less(X0,sK5) | $less(sK5,0) | ~$less(X0,sK0)) ) | (~spl7_18 | ~spl7_42)), 4.62/1.11 inference(superposition,[],[f735,f350])). 4.62/1.11 tff(f350,plain,( 4.62/1.11 get(int,int,t2tb2(sK1),t2tb(sK5)) = t2tb(0) | ~spl7_18), 4.62/1.11 inference(avatar_component_clause,[],[f348])). 4.62/1.11 tff(f983,plain,( 4.62/1.11 spl7_59 | spl7_44 | ~spl7_60 | ~spl7_34 | ~spl7_56), 4.62/1.11 inference(avatar_split_clause,[],[f954,f938,f642,f980,f763,f976])). 4.62/1.11 tff(f976,plain,( 4.62/1.11 spl7_59 <=> $less(sK4,sK4)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_59])])). 4.62/1.11 tff(f980,plain,( 4.62/1.11 spl7_60 <=> $less(0,$sum($sum(0,sK4),$uminus(sK4)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_60])])). 4.62/1.11 tff(f938,plain,( 4.62/1.11 spl7_56 <=> ! [X2 : $int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),X2),$uminus(sK4))) | $less(X2,0) | $less(sK4,X2))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_56])])). 4.62/1.11 tff(f954,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK4),$uminus(sK4))) | $less(sK4,0) | $less(sK4,sK4) | (~spl7_34 | ~spl7_56)), 4.62/1.11 inference(forward_demodulation,[],[f951,f148])). 4.62/1.11 tff(f951,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK4),$uminus(sK4))) | $less(sK4,0) | $less(sK4,sK4) | (~spl7_34 | ~spl7_56)), 4.62/1.11 inference(superposition,[],[f939,f644])). 4.62/1.11 tff(f939,plain,( 4.62/1.11 ( ! [X2:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),X2),$uminus(sK4))) | $less(X2,0) | $less(sK4,X2)) ) | ~spl7_56), 4.62/1.11 inference(avatar_component_clause,[],[f938])). 4.62/1.11 tff(f963,plain,( 4.62/1.11 spl7_57 | spl7_40 | ~spl7_58 | ~spl7_18 | ~spl7_56), 4.62/1.11 inference(avatar_split_clause,[],[f953,f938,f348,f960,f725,f956])). 4.62/1.11 tff(f956,plain,( 4.62/1.11 spl7_57 <=> $less(sK4,sK5)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_57])])). 4.62/1.11 tff(f960,plain,( 4.62/1.11 spl7_58 <=> $less(0,$sum($sum(0,sK5),$uminus(sK4)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_58])])). 4.62/1.11 tff(f953,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK5),$uminus(sK4))) | $less(sK5,0) | $less(sK4,sK5) | (~spl7_18 | ~spl7_56)), 4.62/1.11 inference(forward_demodulation,[],[f949,f148])). 4.62/1.11 tff(f949,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK5),$uminus(sK4))) | $less(sK5,0) | $less(sK4,sK5) | (~spl7_18 | ~spl7_56)), 4.62/1.11 inference(superposition,[],[f939,f350])). 4.62/1.11 tff(f940,plain,( 4.62/1.11 ~spl7_30 | spl7_56 | ~spl7_34 | ~spl7_42), 4.62/1.11 inference(avatar_split_clause,[],[f753,f734,f642,f938,f611])). 4.62/1.11 tff(f753,plain,( 4.62/1.11 ( ! [X2:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),X2),$uminus(sK4))) | $less(sK4,X2) | $less(X2,0) | ~$less(sK4,sK0)) ) | (~spl7_34 | ~spl7_42)), 4.62/1.11 inference(forward_demodulation,[],[f744,f148])). 4.62/1.11 tff(f744,plain,( 4.62/1.11 ( ! [X2:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X2))),X2),$uminus(sK4))) | $less(sK4,X2) | $less(X2,0) | ~$less(sK4,sK0)) ) | (~spl7_34 | ~spl7_42)), 4.62/1.11 inference(superposition,[],[f735,f644])). 4.62/1.11 tff(f903,plain,( 4.62/1.11 spl7_54 | spl7_44 | ~spl7_55 | ~spl7_34 | ~spl7_51), 4.62/1.11 inference(avatar_split_clause,[],[f870,f856,f642,f900,f763,f896])). 4.62/1.11 tff(f896,plain,( 4.62/1.11 spl7_54 <=> $less(sK5,sK4)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_54])])). 4.62/1.11 tff(f900,plain,( 4.62/1.11 spl7_55 <=> $less(0,$sum($sum(0,sK4),$uminus(sK5)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_55])])). 4.62/1.11 tff(f856,plain,( 4.62/1.11 spl7_51 <=> ! [X0 : $int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),X0),$uminus(sK5))) | $less(X0,0) | $less(sK5,X0))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_51])])). 4.62/1.11 tff(f870,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK4),$uminus(sK5))) | $less(sK4,0) | $less(sK5,sK4) | (~spl7_34 | ~spl7_51)), 4.62/1.11 inference(forward_demodulation,[],[f867,f148])). 4.62/1.11 tff(f867,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK4),$uminus(sK5))) | $less(sK4,0) | $less(sK5,sK4) | (~spl7_34 | ~spl7_51)), 4.62/1.11 inference(superposition,[],[f857,f644])). 4.62/1.11 tff(f857,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),X0),$uminus(sK5))) | $less(X0,0) | $less(sK5,X0)) ) | ~spl7_51), 4.62/1.11 inference(avatar_component_clause,[],[f856])). 4.62/1.11 tff(f879,plain,( 4.62/1.11 spl7_52 | spl7_40 | ~spl7_53 | ~spl7_18 | ~spl7_51), 4.62/1.11 inference(avatar_split_clause,[],[f869,f856,f348,f876,f725,f872])). 4.62/1.11 tff(f872,plain,( 4.62/1.11 spl7_52 <=> $less(sK5,sK5)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_52])])). 4.62/1.11 tff(f876,plain,( 4.62/1.11 spl7_53 <=> $less(0,$sum($sum(0,sK5),$uminus(sK5)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_53])])). 4.62/1.11 tff(f869,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK5),$uminus(sK5))) | $less(sK5,0) | $less(sK5,sK5) | (~spl7_18 | ~spl7_51)), 4.62/1.11 inference(forward_demodulation,[],[f865,f148])). 4.62/1.11 tff(f865,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK5),$uminus(sK5))) | $less(sK5,0) | $less(sK5,sK5) | (~spl7_18 | ~spl7_51)), 4.62/1.11 inference(superposition,[],[f857,f350])). 4.62/1.11 tff(f858,plain,( 4.62/1.11 ~spl7_27 | spl7_51 | ~spl7_18 | ~spl7_42), 4.62/1.11 inference(avatar_split_clause,[],[f751,f734,f348,f856,f584])). 4.62/1.11 tff(f584,plain,( 4.62/1.11 spl7_27 <=> $less(sK5,sK0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_27])])). 4.62/1.11 tff(f751,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),X0),$uminus(sK5))) | $less(sK5,X0) | $less(X0,0) | ~$less(sK5,sK0)) ) | (~spl7_18 | ~spl7_42)), 4.62/1.11 inference(forward_demodulation,[],[f742,f148])). 4.62/1.11 tff(f742,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),X0),$uminus(sK5))) | $less(sK5,X0) | $less(X0,0) | ~$less(sK5,sK0)) ) | (~spl7_18 | ~spl7_42)), 4.62/1.11 inference(superposition,[],[f735,f350])). 4.62/1.11 tff(f828,plain,( 4.62/1.11 spl7_49 | spl7_44 | ~spl7_50 | ~spl7_34 | ~spl7_46), 4.62/1.11 inference(avatar_split_clause,[],[f802,f786,f642,f825,f763,f821])). 4.62/1.11 tff(f821,plain,( 4.62/1.11 spl7_49 <=> $less(-1,sK4)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_49])])). 4.62/1.11 tff(f825,plain,( 4.62/1.11 spl7_50 <=> $less(0,$sum(1,sK4))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_50])])). 4.62/1.11 tff(f786,plain,( 4.62/1.11 spl7_46 <=> ! [X1 : $int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),1)) | $less(X1,0) | $less(-1,X1))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_46])])). 4.62/1.11 tff(f802,plain,( 4.62/1.11 ~$less(0,$sum(1,sK4)) | $less(sK4,0) | $less(-1,sK4) | (~spl7_34 | ~spl7_46)), 4.62/1.11 inference(evaluation,[],[f801])). 4.62/1.11 tff(f801,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK4),1)) | $less(sK4,0) | $less(-1,sK4) | (~spl7_34 | ~spl7_46)), 4.62/1.11 inference(forward_demodulation,[],[f797,f148])). 4.62/1.11 tff(f797,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK4),1)) | $less(sK4,0) | $less(-1,sK4) | (~spl7_34 | ~spl7_46)), 4.62/1.11 inference(superposition,[],[f787,f644])). 4.62/1.11 tff(f787,plain,( 4.62/1.11 ( ! [X1:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),1)) | $less(X1,0) | $less(-1,X1)) ) | ~spl7_46), 4.62/1.11 inference(avatar_component_clause,[],[f786])). 4.62/1.11 tff(f814,plain,( 4.62/1.11 spl7_47 | spl7_40 | ~spl7_48 | ~spl7_18 | ~spl7_46), 4.62/1.11 inference(avatar_split_clause,[],[f800,f786,f348,f811,f725,f807])). 4.62/1.11 tff(f807,plain,( 4.62/1.11 spl7_47 <=> $less(-1,sK5)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_47])])). 4.62/1.11 tff(f811,plain,( 4.62/1.11 spl7_48 <=> $less(0,$sum(1,sK5))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_48])])). 4.62/1.11 tff(f800,plain,( 4.62/1.11 ~$less(0,$sum(1,sK5)) | $less(sK5,0) | $less(-1,sK5) | (~spl7_18 | ~spl7_46)), 4.62/1.11 inference(evaluation,[],[f799])). 4.62/1.11 tff(f799,plain,( 4.62/1.11 ~$less(0,$sum($sum(0,sK5),1)) | $less(sK5,0) | $less(-1,sK5) | (~spl7_18 | ~spl7_46)), 4.62/1.11 inference(forward_demodulation,[],[f795,f148])). 4.62/1.11 tff(f795,plain,( 4.62/1.11 ~$less(0,$sum($sum(tb2t(t2tb(0)),sK5),1)) | $less(sK5,0) | $less(-1,sK5) | (~spl7_18 | ~spl7_46)), 4.62/1.11 inference(superposition,[],[f787,f350])). 4.62/1.11 tff(f788,plain,( 4.62/1.11 ~spl7_28 | spl7_46 | ~spl7_31 | ~spl7_42), 4.62/1.11 inference(avatar_split_clause,[],[f752,f734,f617,f786,f599])). 4.62/1.11 tff(f599,plain,( 4.62/1.11 spl7_28 <=> $less(-1,sK0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_28])])). 4.62/1.11 tff(f617,plain,( 4.62/1.11 spl7_31 <=> t2tb(0) = get(int,int,t2tb2(sK1),t2tb(-1))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_31])])). 4.62/1.11 tff(f752,plain,( 4.62/1.11 ( ! [X1:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),1)) | $less(-1,X1) | $less(X1,0) | ~$less(-1,sK0)) ) | (~spl7_31 | ~spl7_42)), 4.62/1.11 inference(forward_demodulation,[],[f749,f148])). 4.62/1.11 tff(f749,plain,( 4.62/1.11 ( ! [X1:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),1)) | $less(-1,X1) | $less(X1,0) | ~$less(-1,sK0)) ) | (~spl7_31 | ~spl7_42)), 4.62/1.11 inference(evaluation,[],[f743])). 4.62/1.11 tff(f743,plain,( 4.62/1.11 ( ! [X1:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),$uminus(-1))) | $less(-1,X1) | $less(X1,0) | ~$less(-1,sK0)) ) | (~spl7_31 | ~spl7_42)), 4.62/1.11 inference(superposition,[],[f735,f619])). 4.62/1.11 tff(f619,plain,( 4.62/1.11 t2tb(0) = get(int,int,t2tb2(sK1),t2tb(-1)) | ~spl7_31), 4.62/1.11 inference(avatar_component_clause,[],[f617])). 4.62/1.11 tff(f770,plain,( 4.62/1.11 ~spl7_43 | spl7_44 | ~spl7_45 | ~spl7_34 | ~spl7_38), 4.62/1.11 inference(avatar_split_clause,[],[f719,f706,f642,f767,f763,f759])). 4.62/1.11 tff(f759,plain,( 4.62/1.11 spl7_43 <=> $less(sK4,$sum(sK0,-1))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_43])])). 4.62/1.11 tff(f767,plain,( 4.62/1.11 spl7_45 <=> $less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK4,1)))),-1)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_45])])). 4.62/1.11 tff(f706,plain,( 4.62/1.11 spl7_38 <=> ! [X0 : $int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),-1)) | $less(X0,0) | ~$less(X0,$sum(sK0,-1)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_38])])). 4.62/1.11 tff(f719,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK4,1)))),-1) | $less(sK4,0) | ~$less(sK4,$sum(sK0,-1)) | (~spl7_34 | ~spl7_38)), 4.62/1.11 inference(evaluation,[],[f718])). 4.62/1.11 tff(f718,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK4,1)))),$sum(0,-1)) | $less(sK4,0) | ~$less(sK4,$sum(sK0,-1)) | (~spl7_34 | ~spl7_38)), 4.62/1.11 inference(forward_demodulation,[],[f714,f148])). 4.62/1.11 tff(f714,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK4,1)))),$sum(tb2t(t2tb(0)),-1)) | $less(sK4,0) | ~$less(sK4,$sum(sK0,-1)) | (~spl7_34 | ~spl7_38)), 4.62/1.11 inference(superposition,[],[f707,f644])). 4.62/1.11 tff(f707,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),-1)) | $less(X0,0) | ~$less(X0,$sum(sK0,-1))) ) | ~spl7_38), 4.62/1.11 inference(avatar_component_clause,[],[f706])). 4.62/1.11 tff(f736,plain,( 4.62/1.11 ~spl7_24 | spl7_42 | ~spl7_7), 4.62/1.11 inference(avatar_split_clause,[],[f487,f247,f734,f555])). 4.62/1.11 tff(f487,plain,( 4.62/1.11 ( ! [X0:$int,X1:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X1))),X1),$uminus(X0))) | ~$less(X0,sK0) | $less(X1,0) | $less(X0,X1) | ~sort1(map(int,int),t2tb2(sK1))) ) | ~spl7_7), 4.62/1.11 inference(superposition,[],[f259,f173])). 4.62/1.11 tff(f259,plain,( 4.62/1.11 ( ! [X2:$int,X1:$int] : (~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X1))),$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X2))),X2),$uminus(X1))) | ~$less(X1,sK0) | $less(X2,0) | $less(X1,X2)) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f258,f166])). 4.62/1.11 tff(f258,plain,( 4.62/1.11 ( ! [X2:$int,X1:$int] : (~$less(X1,length1(int,mk_array1(int,sK0,t2tb2(sK1)))) | ~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X1))),$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X2))),X2),$uminus(X1))) | $less(X2,0) | $less(X1,X2)) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f257,f145])). 4.62/1.11 tff(f257,plain,( 4.62/1.11 ( ! [X2:$int,X1:$int] : (~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X1))),$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X2))),X2),$uminus(X1))) | $less(X2,0) | $less(X1,X2) | ~$less(X1,length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))))) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f253,f145])). 4.62/1.11 tff(f253,plain,( 4.62/1.11 ( ! [X2:$int,X1:$int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb(X1))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb(X2))),X2),$uminus(X1))) | $less(X2,0) | $less(X1,X2) | ~$less(X1,length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))))) ) | ~spl7_7), 4.62/1.11 inference(resolution,[],[f249,f182])). 4.62/1.11 tff(f182,plain,( 4.62/1.11 ( ! [X2:$int,X0:array_int,X1:$int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(X2))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(X1))),X1),$uminus(X2))) | $less(X1,0) | $less(X2,X1) | ~$less(X2,length1(int,t2tb1(X0))) | ~decrease11(X0)) )), 4.62/1.11 inference(definition_unfolding,[],[f152,f169,f169])). 4.62/1.11 tff(f169,plain,( 4.62/1.11 ( ! [X2:$int,X0:ty,X1:uni] : (get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))) )), 4.62/1.11 inference(cnf_transformation,[],[f71])). 4.62/1.11 tff(f71,plain,( 4.62/1.11 ! [X0 : ty,X1 : uni,X2 : $int] : get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))), 4.62/1.11 inference(rectify,[],[f23])). 4.62/1.11 tff(f23,axiom,( 4.62/1.11 ! [X3 : ty,X6 : uni,X10 : $int] : get2(X3,X6,X10) = get(X3,int,elts(X3,X6),t2tb(X10))), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 4.62/1.11 tff(f152,plain,( 4.62/1.11 ( ! [X2:$int,X0:array_int,X1:$int] : (~$less(tb2t(get2(int,t2tb1(X0),X2)),$sum($sum(tb2t(get2(int,t2tb1(X0),X1)),X1),$uminus(X2))) | $less(X1,0) | $less(X2,X1) | ~$less(X2,length1(int,t2tb1(X0))) | ~decrease11(X0)) )), 4.62/1.11 inference(cnf_transformation,[],[f86])). 4.62/1.11 tff(f86,plain,( 4.62/1.11 ! [X0 : array_int] : (! [X1 : $int,X2 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),X2)),$sum($sum(tb2t(get2(int,t2tb1(X0),X1)),X1),$uminus(X2))) | $less(X1,0) | $less(X2,X1) | ~$less(X2,length1(int,t2tb1(X0)))) | ~decrease11(X0))), 4.62/1.11 inference(flattening,[],[f85])). 4.62/1.11 tff(f85,plain,( 4.62/1.11 ! [X0 : array_int] : (! [X1 : $int,X2 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),X2)),$sum($sum(tb2t(get2(int,t2tb1(X0),X1)),X1),$uminus(X2))) | ($less(X1,0) | $less(X2,X1) | ~$less(X2,length1(int,t2tb1(X0))))) | ~decrease11(X0))), 4.62/1.11 inference(ennf_transformation,[],[f57])). 4.62/1.11 tff(f57,plain,( 4.62/1.11 ! [X0 : array_int] : (decrease11(X0) => ! [X1 : $int,X2 : $int] : ((~$less(X1,0) & ~$less(X2,X1) & $less(X2,length1(int,t2tb1(X0)))) => ~$less(tb2t(get2(int,t2tb1(X0),X2)),$sum($sum(tb2t(get2(int,t2tb1(X0),X1)),X1),$uminus(X2)))))), 4.62/1.11 inference(rectify,[],[f44])). 4.62/1.11 tff(f44,plain,( 4.62/1.11 ! [X3 : array_int] : (decrease11(X3) => ! [X10 : $int,X9 : $int] : ((~$less(X10,0) & ~$less(X9,X10) & $less(X9,length1(int,t2tb1(X3)))) => ~$less(tb2t(get2(int,t2tb1(X3),X9)),$sum($sum(tb2t(get2(int,t2tb1(X3),X10)),X10),$uminus(X9)))))), 4.62/1.11 inference(theory_normalization,[],[f28])). 4.62/1.11 tff(f28,axiom,( 4.62/1.11 ! [X3 : array_int] : (decrease11(X3) => ! [X10 : $int,X9 : $int] : (($lesseq(0,X10) & $lesseq(X10,X9) & $less(X9,length1(int,t2tb1(X3)))) => $lesseq($difference($sum(tb2t(get2(int,t2tb1(X3),X10)),X10),X9),tb2t(get2(int,t2tb1(X3),X9)))))), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',decrease1_induction)). 4.62/1.11 tff(f732,plain,( 4.62/1.11 ~spl7_39 | spl7_40 | ~spl7_41 | ~spl7_18 | ~spl7_38), 4.62/1.11 inference(avatar_split_clause,[],[f717,f706,f348,f729,f725,f721])). 4.62/1.11 tff(f721,plain,( 4.62/1.11 spl7_39 <=> $less(sK5,$sum(sK0,-1))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_39])])). 4.62/1.11 tff(f729,plain,( 4.62/1.11 spl7_41 <=> $less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK5,1)))),-1)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_41])])). 4.62/1.11 tff(f717,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK5,1)))),-1) | $less(sK5,0) | ~$less(sK5,$sum(sK0,-1)) | (~spl7_18 | ~spl7_38)), 4.62/1.11 inference(evaluation,[],[f716])). 4.62/1.11 tff(f716,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK5,1)))),$sum(0,-1)) | $less(sK5,0) | ~$less(sK5,$sum(sK0,-1)) | (~spl7_18 | ~spl7_38)), 4.62/1.11 inference(forward_demodulation,[],[f712,f148])). 4.62/1.11 tff(f712,plain,( 4.62/1.11 ~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(sK5,1)))),$sum(tb2t(t2tb(0)),-1)) | $less(sK5,0) | ~$less(sK5,$sum(sK0,-1)) | (~spl7_18 | ~spl7_38)), 4.62/1.11 inference(superposition,[],[f707,f350])). 4.62/1.11 tff(f708,plain,( 4.62/1.11 ~spl7_24 | spl7_38 | ~spl7_7), 4.62/1.11 inference(avatar_split_clause,[],[f471,f247,f706,f555])). 4.62/1.11 tff(f471,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,t2tb2(sK1),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,t2tb2(sK1),t2tb(X0))),-1)) | ~$less(X0,$sum(sK0,-1)) | $less(X0,0) | ~sort1(map(int,int),t2tb2(sK1))) ) | ~spl7_7), 4.62/1.11 inference(superposition,[],[f256,f173])). 4.62/1.11 tff(f256,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X0))),-1)) | ~$less(X0,$sum(sK0,-1)) | $less(X0,0)) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f255,f166])). 4.62/1.11 tff(f255,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(X0,$sum(length1(int,mk_array1(int,sK0,t2tb2(sK1))),-1)) | ~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X0))),-1)) | $less(X0,0)) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f254,f145])). 4.62/1.11 tff(f254,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,elts(int,mk_array1(int,sK0,t2tb2(sK1))),t2tb(X0))),-1)) | $less(X0,0) | ~$less(X0,$sum(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),-1))) ) | ~spl7_7), 4.62/1.11 inference(forward_demodulation,[],[f252,f145])). 4.62/1.11 tff(f252,plain,( 4.62/1.11 ( ! [X0:$int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb($sum(X0,1)))),$sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),t2tb(X0))),-1)) | $less(X0,0) | ~$less(X0,$sum(length1(int,t2tb1(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))),-1))) ) | ~spl7_7), 4.62/1.11 inference(resolution,[],[f249,f191])). 4.62/1.11 tff(f191,plain,( 4.62/1.11 ( ! [X2:$int,X0:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,1)))),$sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(X2))),-1)) | $less(X2,0) | ~$less(X2,$sum(length1(int,t2tb1(X0)),-1)) | ~decrease11(X0)) )), 4.62/1.11 inference(evaluation,[],[f184])). 4.62/1.11 tff(f184,plain,( 4.62/1.11 ( ! [X2:$int,X0:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,1)))),$sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(X2))),$uminus(1))) | $less(X2,0) | ~$less(X2,$sum(length1(int,t2tb1(X0)),$uminus(1))) | ~decrease11(X0)) )), 4.62/1.11 inference(definition_unfolding,[],[f153,f169,f169])). 4.62/1.11 tff(f153,plain,( 4.62/1.11 ( ! [X2:$int,X0:array_int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X2,1))),$sum(tb2t(get2(int,t2tb1(X0),X2)),$uminus(1))) | $less(X2,0) | ~$less(X2,$sum(length1(int,t2tb1(X0)),$uminus(1))) | ~decrease11(X0)) )), 4.62/1.11 inference(cnf_transformation,[],[f110])). 4.62/1.11 tff(f110,plain,( 4.62/1.11 ! [X0 : array_int] : ((decrease11(X0) | ($less(tb2t(get2(int,t2tb1(X0),$sum(sK6(X0),1))),$sum(tb2t(get2(int,t2tb1(X0),sK6(X0))),$uminus(1))) & ~$less(sK6(X0),0) & $less(sK6(X0),$sum(length1(int,t2tb1(X0)),$uminus(1))))) & (! [X2 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X2,1))),$sum(tb2t(get2(int,t2tb1(X0),X2)),$uminus(1))) | $less(X2,0) | ~$less(X2,$sum(length1(int,t2tb1(X0)),$uminus(1)))) | ~decrease11(X0)))), 4.62/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f108,f109])). 4.62/1.11 tff(f109,plain,( 4.62/1.11 ! [X0 : array_int] : (? [X1 : $int] : ($less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) & ~$less(X1,0) & $less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1)))) => ($less(tb2t(get2(int,t2tb1(X0),$sum(sK6(X0),1))),$sum(tb2t(get2(int,t2tb1(X0),sK6(X0))),$uminus(1))) & ~$less(sK6(X0),0) & $less(sK6(X0),$sum(length1(int,t2tb1(X0)),$uminus(1)))))), 4.62/1.11 introduced(choice_axiom,[])). 4.62/1.11 tff(f108,plain,( 4.62/1.11 ! [X0 : array_int] : ((decrease11(X0) | ? [X1 : $int] : ($less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) & ~$less(X1,0) & $less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1))))) & (! [X2 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X2,1))),$sum(tb2t(get2(int,t2tb1(X0),X2)),$uminus(1))) | $less(X2,0) | ~$less(X2,$sum(length1(int,t2tb1(X0)),$uminus(1)))) | ~decrease11(X0)))), 4.62/1.11 inference(rectify,[],[f107])). 4.62/1.11 tff(f107,plain,( 4.62/1.11 ! [X0 : array_int] : ((decrease11(X0) | ? [X1 : $int] : ($less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) & ~$less(X1,0) & $less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1))))) & (! [X1 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) | $less(X1,0) | ~$less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1)))) | ~decrease11(X0)))), 4.62/1.11 inference(nnf_transformation,[],[f88])). 4.62/1.11 tff(f88,plain,( 4.62/1.11 ! [X0 : array_int] : (decrease11(X0) <=> ! [X1 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) | $less(X1,0) | ~$less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1)))))), 4.62/1.11 inference(flattening,[],[f87])). 4.62/1.11 tff(f87,plain,( 4.62/1.11 ! [X0 : array_int] : (decrease11(X0) <=> ! [X1 : $int] : (~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1))) | ($less(X1,0) | ~$less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1))))))), 4.62/1.11 inference(ennf_transformation,[],[f58])). 4.62/1.11 tff(f58,plain,( 4.62/1.11 ! [X0 : array_int] : (decrease11(X0) <=> ! [X1 : $int] : ((~$less(X1,0) & $less(X1,$sum(length1(int,t2tb1(X0)),$uminus(1)))) => ~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,1))),$sum(tb2t(get2(int,t2tb1(X0),X1)),$uminus(1)))))), 4.62/1.11 inference(rectify,[],[f45])). 4.62/1.11 tff(f45,plain,( 4.62/1.11 ! [X3 : array_int] : (decrease11(X3) <=> ! [X10 : $int] : ((~$less(X10,0) & $less(X10,$sum(length1(int,t2tb1(X3)),$uminus(1)))) => ~$less(tb2t(get2(int,t2tb1(X3),$sum(X10,1))),$sum(tb2t(get2(int,t2tb1(X3),X10)),$uminus(1)))))), 4.62/1.11 inference(theory_normalization,[],[f24])). 4.62/1.11 tff(f24,axiom,( 4.62/1.11 ! [X3 : array_int] : (decrease11(X3) <=> ! [X10 : $int] : (($lesseq(0,X10) & $less(X10,$difference(length1(int,t2tb1(X3)),1))) => $lesseq($difference(tb2t(get2(int,t2tb1(X3),X10)),1),tb2t(get2(int,t2tb1(X3),$sum(X10,1))))))), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',decrease1_def)). 4.62/1.11 tff(f681,plain,( 4.62/1.11 spl7_2 | spl7_37 | spl7_6), 4.62/1.11 inference(avatar_split_clause,[],[f596,f242,f679,f205])). 4.62/1.11 tff(f205,plain,( 4.62/1.11 spl7_2 <=> $less(sK2,0)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_2])])). 4.62/1.11 tff(f242,plain,( 4.62/1.11 spl7_6 <=> $less(sK4,sK2)), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_6])])). 4.62/1.11 tff(f596,plain,( 4.62/1.11 ( ! [X1:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK4))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK4))) | $less(sK2,0) | ~$less(sK4,length1(int,t2tb1(X1))) | ~decrease11(X1)) ) | spl7_6), 4.62/1.11 inference(resolution,[],[f244,f182])). 4.62/1.11 tff(f244,plain,( 4.62/1.11 ~$less(sK4,sK2) | spl7_6), 4.62/1.11 inference(avatar_component_clause,[],[f242])). 4.62/1.11 tff(f663,plain,( 4.62/1.11 ~spl7_30 | spl7_36 | ~spl7_34 | ~spl7_35), 4.62/1.11 inference(avatar_split_clause,[],[f658,f647,f642,f660,f611])). 4.62/1.11 tff(f660,plain,( 4.62/1.11 spl7_36 <=> $less(sK4,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_36])])). 4.62/1.11 tff(f647,plain,( 4.62/1.11 spl7_35 <=> ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(X6,sK0))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_35])])). 4.62/1.11 tff(f658,plain,( 4.62/1.11 $less(sK4,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK4,sK0) | (~spl7_34 | ~spl7_35)), 4.62/1.11 inference(trivial_inequality_removal,[],[f657])). 4.62/1.11 tff(f657,plain,( 4.62/1.11 0 != 0 | $less(sK4,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK4,sK0) | (~spl7_34 | ~spl7_35)), 4.62/1.11 inference(forward_demodulation,[],[f656,f148])). 4.62/1.11 tff(f656,plain,( 4.62/1.11 0 != tb2t(t2tb(0)) | $less(sK4,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK4,sK0) | (~spl7_34 | ~spl7_35)), 4.62/1.11 inference(superposition,[],[f648,f644])). 4.62/1.11 tff(f648,plain,( 4.62/1.11 ( ! [X6:$int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(X6,sK0)) ) | ~spl7_35), 4.62/1.11 inference(avatar_component_clause,[],[f647])). 4.62/1.11 tff(f649,plain,( 4.62/1.11 spl7_35 | ~spl7_32 | ~spl7_5), 4.62/1.11 inference(avatar_split_clause,[],[f639,f237,f622,f647])). 4.62/1.11 tff(f622,plain,( 4.62/1.11 spl7_32 <=> $less(-1,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_32])])). 4.62/1.11 tff(f237,plain,( 4.62/1.11 spl7_5 <=> sK3 = -1), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_5])])). 4.62/1.11 tff(f639,plain,( 4.62/1.11 ( ! [X6:$int] : (~$less(-1,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) ) | ~spl7_5), 4.62/1.11 inference(forward_demodulation,[],[f128,f239])). 4.62/1.11 tff(f239,plain,( 4.62/1.11 sK3 = -1 | ~spl7_5), 4.62/1.11 inference(avatar_component_clause,[],[f237])). 4.62/1.11 tff(f128,plain,( 4.62/1.11 ( ! [X6:$int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) )), 4.62/1.11 inference(cnf_transformation,[],[f106])). 4.62/1.11 tff(f106,plain,( 4.62/1.11 (((0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) & $less(sK4,sK0) & ~$less(sK4,sK2)) | $uminus(1) != sK3) & (~$less(sK3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) & $less(sK5,sK3) & ~$less(sK5,sK2)) | $less(sK3,sK2)) & (($uminus(1) = sK3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))) | (~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) & $less(sK3,sK0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,sK3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) & 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3)))))) & ~$less($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))),0) & decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1)))) & $less(sK2,sK0) & ~$less(sK2,0) & $less(0,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))) & $less(sK2,sK0) & ~$less(sK2,0) & 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))) & $less(sK2,sK0) & ~$less(sK2,0) & $less(sK2,sK0) & decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1)))) & ~$less(sK2,0) & ~$less(sK0,0)), 4.62/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f101,f105,f104,f103,f102])). 4.62/1.11 tff(f102,plain,( 4.62/1.11 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : $int] : ((? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X4))) & $less(X4,X0) & ~$less(X4,X2)) | $uminus(1) != X3) & (~$less(X3,X0) | 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X3))) | ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X5))) & $less(X5,X3) & ~$less(X5,X2)) | $less(X3,X2)) & (($uminus(1) = X3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X6))) | ~$less(X6,X0) | $less(X6,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))))) | (~$less(X3,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & $less(X3,X0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X7))) | ~$less(X7,X3) | $less(X7,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3)))))) & ~$less($sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))),0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & $less(X2,X0) & ~$less(X2,0) & $less(0,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))) & $less(X2,X0) & ~$less(X2,0) & 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X2))) & $less(X2,X0) & ~$less(X2,0) & $less(X2,X0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & ~$less(X2,0) & ~$less(X0,0)) => (? [X3 : $int] : ((? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X4))) & $less(X4,sK0) & ~$less(X4,sK2)) | $uminus(1) != X3) & (~$less(X3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X3))) | ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X5))) & $less(X5,X3) & ~$less(X5,sK2)) | $less(X3,sK2)) & (($uminus(1) = X3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))) | (~$less(X3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) & $less(X3,sK0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,X3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) & 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X3)))))) & ~$less($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))),0) & decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1)))) & $less(sK2,sK0) & ~$less(sK2,0) & $less(0,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))) & $less(sK2,sK0) & ~$less(sK2,0) & 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))) & $less(sK2,sK0) & ~$less(sK2,0) & $less(sK2,sK0) & decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1)))) & ~$less(sK2,0) & ~$less(sK0,0))), 4.62/1.11 introduced(choice_axiom,[])). 4.62/1.11 tff(f103,plain,( 4.62/1.11 ? [X3 : $int] : ((? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X4))) & $less(X4,sK0) & ~$less(X4,sK2)) | $uminus(1) != X3) & (~$less(X3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X3))) | ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X5))) & $less(X5,X3) & ~$less(X5,sK2)) | $less(X3,sK2)) & (($uminus(1) = X3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))) | (~$less(X3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) & $less(X3,sK0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,X3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) & 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X3)))))) => ((? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X4))) & $less(X4,sK0) & ~$less(X4,sK2)) | $uminus(1) != sK3) & (~$less(sK3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X5))) & $less(X5,sK3) & ~$less(X5,sK2)) | $less(sK3,sK2)) & (($uminus(1) = sK3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X6))) | ~$less(X6,sK0) | $less(X6,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))) | (~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) & $less(sK3,sK0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,sK3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) & 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))))))), 4.62/1.11 introduced(choice_axiom,[])). 4.62/1.11 tff(f104,plain,( 4.62/1.11 ? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X4))) & $less(X4,sK0) & ~$less(X4,sK2)) => (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) & $less(sK4,sK0) & ~$less(sK4,sK2))), 4.62/1.11 introduced(choice_axiom,[])). 4.62/1.11 tff(f105,plain,( 4.62/1.11 ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(X5))) & $less(X5,sK3) & ~$less(X5,sK2)) => (0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) & $less(sK5,sK3) & ~$less(sK5,sK2))), 4.62/1.11 introduced(choice_axiom,[])). 4.62/1.11 tff(f101,plain,( 4.62/1.11 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : $int] : ((? [X4 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X4))) & $less(X4,X0) & ~$less(X4,X2)) | $uminus(1) != X3) & (~$less(X3,X0) | 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X3))) | ? [X5 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X5))) & $less(X5,X3) & ~$less(X5,X2)) | $less(X3,X2)) & (($uminus(1) = X3 & ! [X6 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X6))) | ~$less(X6,X0) | $less(X6,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))))) | (~$less(X3,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & $less(X3,X0) & ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X7))) | ~$less(X7,X3) | $less(X7,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3)))))) & ~$less($sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))),0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & $less(X2,X0) & ~$less(X2,0) & $less(0,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))) & $less(X2,X0) & ~$less(X2,0) & 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X2))) & $less(X2,X0) & ~$less(X2,0) & $less(X2,X0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & ~$less(X2,0) & ~$less(X0,0))), 4.62/1.11 inference(rectify,[],[f84])). 4.62/1.11 tff(f84,plain,( 4.62/1.11 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : $int] : ((? [X6 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X6))) & $less(X6,X0) & ~$less(X6,X2)) | $uminus(1) != X3) & (~$less(X3,X0) | 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X3))) | ? [X7 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X7))) & $less(X7,X3) & ~$less(X7,X2)) | $less(X3,X2)) & (($uminus(1) = X3 & ! [X4 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X4))) | ~$less(X4,X0) | $less(X4,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))))) | (~$less(X3,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & $less(X3,X0) & ! [X5 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X5))) | ~$less(X5,X3) | $less(X5,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3)))))) & ~$less($sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))),0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & $less(X2,X0) & ~$less(X2,0) & $less(0,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))) & $less(X2,X0) & ~$less(X2,0) & 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X2))) & $less(X2,X0) & ~$less(X2,0) & $less(X2,X0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & ~$less(X2,0) & ~$less(X0,0))), 4.62/1.11 inference(flattening,[],[f83])). 4.62/1.11 tff(f83,plain,( 4.62/1.11 ? [X0 : $int,X1 : map_int_int,X2 : $int] : ((((((((? [X3 : $int] : (((? [X6 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X6))) & ($less(X6,X0) & ~$less(X6,X2))) | $uminus(1) != X3) & (~$less(X3,X0) | 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X3))) | ? [X7 : $int] : (0 = tb2t(get(int,int,t2tb2(X1),t2tb(X7))) & ($less(X7,X3) & ~$less(X7,X2))) | $less(X3,X2))) & (($uminus(1) = X3 & ! [X4 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X4))) | (~$less(X4,X0) | $less(X4,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))))) | (~$less(X3,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & $less(X3,X0) & ! [X5 : $int] : (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X5))) | (~$less(X5,X3) | $less(X5,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))))) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3)))))) & (~$less($sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))),0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))))) & ($less(X2,X0) & ~$less(X2,0))) & $less(0,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & ($less(X2,X0) & ~$less(X2,0))) & 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X2)))) & ($less(X2,X0) & ~$less(X2,0))) & $less(X2,X0)) & (decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & ~$less(X2,0) & ~$less(X0,0)))), 4.62/1.11 inference(ennf_transformation,[],[f47])). 4.62/1.11 tff(f47,plain,( 4.62/1.11 ~! [X0 : $int,X1 : map_int_int,X2 : $int] : ((decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1)))) & ~$less(X2,0) & ~$less(X0,0)) => ($less(X2,X0) => (($less(X2,X0) & ~$less(X2,0)) => (0 != tb2t(get(int,int,t2tb2(X1),t2tb(X2))) => (($less(X2,X0) & ~$less(X2,0)) => ($less(0,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))) => (($less(X2,X0) & ~$less(X2,0)) => ((~$less($sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))),0) & decrease11(tb2t1(mk_array1(int,X0,t2tb2(X1))))) => ! [X3 : $int] : ((($uminus(1) = X3 & ! [X4 : $int] : (($less(X4,X0) & ~$less(X4,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))) => 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X4))))) | (~$less(X3,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2))))) & $less(X3,X0) & ! [X5 : $int] : (($less(X5,X3) & ~$less(X5,$sum(X2,tb2t(get(int,int,t2tb2(X1),t2tb(X2)))))) => 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X5)))) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3))))) => ((! [X6 : $int] : (($less(X6,X0) & ~$less(X6,X2)) => 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X6)))) & $uminus(1) = X3) | ($less(X3,X0) & 0 = tb2t(get(int,int,t2tb2(X1),t2tb(X3))) & ! [X7 : $int] : (($less(X7,X3) & ~$less(X7,X2)) => 0 != tb2t(get(int,int,t2tb2(X1),t2tb(X7)))) & ~$less(X3,X2))))))))))))), 4.62/1.11 inference(rectify,[],[f43])). 4.62/1.11 tff(f43,plain,( 4.62/1.11 ~! [X3 : $int,X6 : map_int_int,X10 : $int] : ((decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6)))) & ~$less(X10,0) & ~$less(X3,0)) => ($less(X10,X3) => (($less(X10,X3) & ~$less(X10,0)) => (0 != tb2t(get(int,int,t2tb2(X6),t2tb(X10))) => (($less(X10,X3) & ~$less(X10,0)) => ($less(0,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))) => (($less(X10,X3) & ~$less(X10,0)) => ((~$less($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),0) & decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6))))) => ! [X18 : $int] : ((($uminus(1) = X18 & ! [X9 : $int] : (($less(X9,X3) & ~$less(X9,$sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))))) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9))))) | (~$less(X18,$sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10))))) & $less(X18,X3) & ! [X9 : $int] : (($less(X9,X18) & ~$less(X9,$sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))))) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))))) => ((! [X9 : $int] : (($less(X9,X3) & ~$less(X9,X10)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & $uminus(1) = X18) | ($less(X18,X3) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))) & ! [X9 : $int] : (($less(X9,X18) & ~$less(X9,X10)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & ~$less(X18,X10))))))))))))), 4.62/1.11 inference(theory_normalization,[],[f35])). 4.62/1.11 tff(f35,negated_conjecture,( 4.62/1.11 ~! [X3 : $int,X6 : map_int_int,X10 : $int] : ((decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6)))) & $lesseq(0,X10) & $lesseq(0,X3)) => ($less(X10,X3) => (($less(X10,X3) & $lesseq(0,X10)) => (0 != tb2t(get(int,int,t2tb2(X6),t2tb(X10))) => (($less(X10,X3) & $lesseq(0,X10)) => ($less(0,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))) => (($less(X10,X3) & $lesseq(0,X10)) => (($lesseq(0,$sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10))))) & decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6))))) => ! [X18 : $int] : ((($uminus(1) = X18 & ! [X9 : $int] : (($less(X9,X3) & $lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9))))) | ($lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X18) & $less(X18,X3) & ! [X9 : $int] : (($less(X9,X18) & $lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))))) => ((! [X9 : $int] : (($less(X9,X3) & $lesseq(X10,X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & $uminus(1) = X18) | ($less(X18,X3) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))) & ! [X9 : $int] : (($less(X9,X18) & $lesseq(X10,X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & $lesseq(X10,X18))))))))))))), 4.62/1.11 inference(negated_conjecture,[],[f34])). 4.62/1.11 tff(f34,conjecture,( 4.62/1.11 ! [X3 : $int,X6 : map_int_int,X10 : $int] : ((decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6)))) & $lesseq(0,X10) & $lesseq(0,X3)) => ($less(X10,X3) => (($less(X10,X3) & $lesseq(0,X10)) => (0 != tb2t(get(int,int,t2tb2(X6),t2tb(X10))) => (($less(X10,X3) & $lesseq(0,X10)) => ($less(0,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))) => (($less(X10,X3) & $lesseq(0,X10)) => (($lesseq(0,$sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10))))) & decrease11(tb2t1(mk_array1(int,X3,t2tb2(X6))))) => ! [X18 : $int] : ((($uminus(1) = X18 & ! [X9 : $int] : (($less(X9,X3) & $lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9))))) | ($lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X18) & $less(X18,X3) & ! [X9 : $int] : (($less(X9,X18) & $lesseq($sum(X10,tb2t(get(int,int,t2tb2(X6),t2tb(X10)))),X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))))) => ((! [X9 : $int] : (($less(X9,X3) & $lesseq(X10,X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & $uminus(1) = X18) | ($less(X18,X3) & 0 = tb2t(get(int,int,t2tb2(X6),t2tb(X18))) & ! [X9 : $int] : (($less(X9,X18) & $lesseq(X10,X9)) => 0 != tb2t(get(int,int,t2tb2(X6),t2tb(X9)))) & $lesseq(X10,X18))))))))))))), 4.62/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search_rec)). 4.62/1.11 tff(f645,plain,( 4.62/1.11 spl7_34 | ~spl7_33), 4.62/1.11 inference(avatar_split_clause,[],[f638,f634,f642])). 4.62/1.11 tff(f634,plain,( 4.62/1.11 spl7_33 <=> 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4)))), 4.62/1.11 introduced(avatar_definition,[new_symbols(naming,[spl7_33])])). 4.62/1.11 tff(f638,plain,( 4.62/1.11 get(int,int,t2tb2(sK1),t2tb(sK4)) = t2tb(0) | ~spl7_33), 4.62/1.11 inference(superposition,[],[f147,f636])). 4.62/1.11 tff(f636,plain,( 4.62/1.11 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) | ~spl7_33), 4.62/1.11 inference(avatar_component_clause,[],[f634])). 4.62/1.11 % (10958)Time limit reached! 4.62/1.11 % (10958)------------------------------ 4.62/1.11 % (10958)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.62/1.12 % (10978)Time limit reached! 4.62/1.12 % (10978)------------------------------ 4.62/1.12 % (10978)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.62/1.12 % (10978)Termination reason: Time limit 4.62/1.12 4.62/1.12 % (10978)Memory used [KB]: 13560 4.62/1.12 % (10978)Time elapsed: 0.659 s 4.62/1.12 % (10978)------------------------------ 4.62/1.12 % (10978)------------------------------ 4.62/1.13 % (10958)Termination reason: Time limit 4.62/1.13 % (10958)Termination phase: Saturation 4.62/1.13 4.62/1.13 % (10958)Memory used [KB]: 8059 4.62/1.13 % (10958)Time elapsed: 0.600 s 4.62/1.13 % (10958)------------------------------ 4.62/1.13 % (10958)------------------------------ 4.62/1.14 tff(f147,plain,( 4.62/1.14 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 4.62/1.14 inference(cnf_transformation,[],[f54])). 4.62/1.14 tff(f54,plain,( 4.62/1.14 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 4.62/1.14 inference(rectify,[],[f38])). 4.62/1.14 tff(f38,axiom,( 4.62/1.14 ! [X9 : uni] : t2tb(tb2t(X9)) = X9), 4.62/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 4.62/1.14 tff(f637,plain,( 4.62/1.14 spl7_33 | ~spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f632,f237,f634])). 4.62/1.14 tff(f632,plain,( 4.62/1.14 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) | ~spl7_5), 4.62/1.14 inference(trivial_inequality_removal,[],[f631])). 4.62/1.14 tff(f631,plain,( 4.62/1.14 -1 != -1 | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) | ~spl7_5), 4.62/1.14 inference(forward_demodulation,[],[f198,f239])). 4.62/1.14 tff(f198,plain,( 4.62/1.14 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) | sK3 != -1), 4.62/1.14 inference(evaluation,[],[f138])). 4.62/1.14 tff(f138,plain,( 4.62/1.14 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK4))) | $uminus(1) != sK3), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f625,plain,( 4.62/1.14 spl7_32 | ~spl7_5 | ~spl7_13), 4.62/1.14 inference(avatar_split_clause,[],[f615,f303,f237,f622])). 4.62/1.14 tff(f303,plain,( 4.62/1.14 spl7_13 <=> $less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_13])])). 4.62/1.14 tff(f615,plain,( 4.62/1.14 $less(-1,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | (~spl7_5 | ~spl7_13)), 4.62/1.14 inference(forward_demodulation,[],[f304,f239])). 4.62/1.14 tff(f304,plain,( 4.62/1.14 $less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~spl7_13), 4.62/1.14 inference(avatar_component_clause,[],[f303])). 4.62/1.14 tff(f620,plain,( 4.62/1.14 spl7_31 | ~spl7_5 | ~spl7_12), 4.62/1.14 inference(avatar_split_clause,[],[f589,f297,f237,f617])). 4.62/1.14 tff(f297,plain,( 4.62/1.14 spl7_12 <=> get(int,int,t2tb2(sK1),t2tb(sK3)) = t2tb(0)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_12])])). 4.62/1.14 tff(f589,plain,( 4.62/1.14 t2tb(0) = get(int,int,t2tb2(sK1),t2tb(-1)) | (~spl7_5 | ~spl7_12)), 4.62/1.14 inference(backward_demodulation,[],[f299,f239])). 4.62/1.14 tff(f299,plain,( 4.62/1.14 get(int,int,t2tb2(sK1),t2tb(sK3)) = t2tb(0) | ~spl7_12), 4.62/1.14 inference(avatar_component_clause,[],[f297])). 4.62/1.14 tff(f614,plain,( 4.62/1.14 spl7_30 | ~spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f609,f237,f611])). 4.62/1.14 tff(f609,plain,( 4.62/1.14 $less(sK4,sK0) | ~spl7_5), 4.62/1.14 inference(trivial_inequality_removal,[],[f608])). 4.62/1.14 tff(f608,plain,( 4.62/1.14 -1 != -1 | $less(sK4,sK0) | ~spl7_5), 4.62/1.14 inference(forward_demodulation,[],[f197,f239])). 4.62/1.14 tff(f197,plain,( 4.62/1.14 $less(sK4,sK0) | sK3 != -1), 4.62/1.14 inference(evaluation,[],[f137])). 4.62/1.14 tff(f137,plain,( 4.62/1.14 $less(sK4,sK0) | $uminus(1) != sK3), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f607,plain,( 4.62/1.14 spl7_29 | ~spl7_5 | ~spl7_14), 4.62/1.14 inference(avatar_split_clause,[],[f597,f315,f237,f604])). 4.62/1.14 tff(f604,plain,( 4.62/1.14 spl7_29 <=> $less(-1,sK2)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_29])])). 4.62/1.14 tff(f315,plain,( 4.62/1.14 spl7_14 <=> $less(sK3,sK2)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_14])])). 4.62/1.14 tff(f597,plain,( 4.62/1.14 $less(-1,sK2) | (~spl7_5 | ~spl7_14)), 4.62/1.14 inference(forward_demodulation,[],[f317,f239])). 4.62/1.14 tff(f317,plain,( 4.62/1.14 $less(sK3,sK2) | ~spl7_14), 4.62/1.14 inference(avatar_component_clause,[],[f315])). 4.62/1.14 tff(f602,plain,( 4.62/1.14 spl7_28 | ~spl7_4 | ~spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f588,f237,f233,f599])). 4.62/1.14 tff(f233,plain,( 4.62/1.14 spl7_4 <=> $less(sK3,sK0)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_4])])). 4.62/1.14 tff(f588,plain,( 4.62/1.14 $less(-1,sK0) | (~spl7_4 | ~spl7_5)), 4.62/1.14 inference(backward_demodulation,[],[f235,f239])). 4.62/1.14 tff(f235,plain,( 4.62/1.14 $less(sK3,sK0) | ~spl7_4), 4.62/1.14 inference(avatar_component_clause,[],[f233])). 4.62/1.14 tff(f587,plain,( 4.62/1.14 ~spl7_27 | ~spl7_7 | ~spl7_25), 4.62/1.14 inference(avatar_split_clause,[],[f570,f559,f247,f584])). 4.62/1.14 tff(f559,plain,( 4.62/1.14 spl7_25 <=> ! [X0 : $int] : (~$less(sK5,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_25])])). 4.62/1.14 tff(f570,plain,( 4.62/1.14 ~$less(sK5,sK0) | (~spl7_7 | ~spl7_25)), 4.62/1.14 inference(resolution,[],[f560,f249])). 4.62/1.14 tff(f560,plain,( 4.62/1.14 ( ! [X0:$int] : (~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~$less(sK5,X0)) ) | ~spl7_25), 4.62/1.14 inference(avatar_component_clause,[],[f559])). 4.62/1.14 tff(f567,plain,( 4.62/1.14 spl7_24), 4.62/1.14 inference(avatar_contradiction_clause,[],[f566])). 4.62/1.14 tff(f566,plain,( 4.62/1.14 $false | spl7_24), 4.62/1.14 inference(resolution,[],[f557,f150])). 4.62/1.14 tff(f150,plain,( 4.62/1.14 ( ! [X0:map_int_int] : (sort1(map(int,int),t2tb2(X0))) )), 4.62/1.14 inference(cnf_transformation,[],[f40])). 4.62/1.14 tff(f40,axiom,( 4.62/1.14 ! [X0 : map_int_int] : sort1(map(int,int),t2tb2(X0))), 4.62/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 4.62/1.14 tff(f557,plain,( 4.62/1.14 ~sort1(map(int,int),t2tb2(sK1)) | spl7_24), 4.62/1.14 inference(avatar_component_clause,[],[f555])). 4.62/1.14 tff(f565,plain,( 4.62/1.14 ~spl7_24 | spl7_25 | ~spl7_26 | ~spl7_18 | ~spl7_22), 4.62/1.14 inference(avatar_split_clause,[],[f549,f453,f348,f562,f559,f555])). 4.62/1.14 tff(f562,plain,( 4.62/1.14 spl7_26 <=> $less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK5)))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_26])])). 4.62/1.14 tff(f453,plain,( 4.62/1.14 spl7_22 <=> ! [X1 : array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK5))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK5))) | ~decrease11(X1) | ~$less(sK5,length1(int,t2tb1(X1))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_22])])). 4.62/1.14 tff(f549,plain,( 4.62/1.14 ( ! [X0:$int] : (~$less(0,$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK5))) | ~$less(sK5,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~sort1(map(int,int),t2tb2(sK1))) ) | (~spl7_18 | ~spl7_22)), 4.62/1.14 inference(forward_demodulation,[],[f541,f148])). 4.62/1.14 tff(f541,plain,( 4.62/1.14 ( ! [X0:$int] : (~$less(tb2t(t2tb(0)),$sum($sum(tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))),sK2),$uminus(sK5))) | ~$less(sK5,X0) | ~decrease11(tb2t1(mk_array1(int,X0,t2tb2(sK1)))) | ~sort1(map(int,int),t2tb2(sK1))) ) | (~spl7_18 | ~spl7_22)), 4.62/1.14 inference(superposition,[],[f483,f350])). 4.62/1.14 tff(f483,plain,( 4.62/1.14 ( ! [X0:$int,X1:uni] : (~$less(tb2t(get(int,int,X1,t2tb(sK5))),$sum($sum(tb2t(get(int,int,X1,t2tb(sK2))),sK2),$uminus(sK5))) | ~$less(sK5,X0) | ~decrease11(tb2t1(mk_array1(int,X0,X1))) | ~sort1(map(int,int),X1)) ) | ~spl7_22), 4.62/1.14 inference(forward_demodulation,[],[f481,f166])). 4.62/1.14 tff(f481,plain,( 4.62/1.14 ( ! [X0:$int,X1:uni] : (~$less(tb2t(get(int,int,X1,t2tb(sK5))),$sum($sum(tb2t(get(int,int,X1,t2tb(sK2))),sK2),$uminus(sK5))) | ~decrease11(tb2t1(mk_array1(int,X0,X1))) | ~$less(sK5,length1(int,mk_array1(int,X0,X1))) | ~sort1(map(int,int),X1)) ) | ~spl7_22), 4.62/1.14 inference(superposition,[],[f462,f173])). 4.62/1.14 tff(f462,plain,( 4.62/1.14 ( ! [X0:uni] : (~$less(tb2t(get(int,int,elts(int,X0),t2tb(sK5))),$sum($sum(tb2t(get(int,int,elts(int,X0),t2tb(sK2))),sK2),$uminus(sK5))) | ~decrease11(tb2t1(X0)) | ~$less(sK5,length1(int,X0))) ) | ~spl7_22), 4.62/1.14 inference(superposition,[],[f454,f145])). 4.62/1.14 tff(f454,plain,( 4.62/1.14 ( ! [X1:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK5))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK5))) | ~decrease11(X1) | ~$less(sK5,length1(int,t2tb1(X1)))) ) | ~spl7_22), 4.62/1.14 inference(avatar_component_clause,[],[f453])). 4.62/1.14 tff(f538,plain,( 4.62/1.14 spl7_10 | spl7_23 | spl7_13), 4.62/1.14 inference(avatar_split_clause,[],[f308,f303,f536,f275])). 4.62/1.14 tff(f275,plain,( 4.62/1.14 spl7_10 <=> $less($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))),0)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_10])])). 4.62/1.14 tff(f536,plain,( 4.62/1.14 spl7_23 <=> ! [X1 : array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK3))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))),$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))),$uminus(sK3))) | ~decrease11(X1) | ~$less(sK3,length1(int,t2tb1(X1))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_23])])). 4.62/1.14 tff(f308,plain,( 4.62/1.14 ( ! [X1:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK3))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))))),$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))),$uminus(sK3))) | $less($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))),0) | ~$less(sK3,length1(int,t2tb1(X1))) | ~decrease11(X1)) ) | spl7_13), 4.62/1.14 inference(resolution,[],[f305,f182])). 4.62/1.14 tff(f305,plain,( 4.62/1.14 ~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | spl7_13), 4.62/1.14 inference(avatar_component_clause,[],[f303])). 4.62/1.14 tff(f455,plain,( 4.62/1.14 spl7_2 | spl7_22 | spl7_15), 4.62/1.14 inference(avatar_split_clause,[],[f324,f319,f453,f205])). 4.62/1.14 tff(f319,plain,( 4.62/1.14 spl7_15 <=> $less(sK5,sK2)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_15])])). 4.62/1.14 tff(f324,plain,( 4.62/1.14 ( ! [X1:array_int] : (~$less(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK5))),$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb(sK2))),sK2),$uminus(sK5))) | $less(sK2,0) | ~$less(sK5,length1(int,t2tb1(X1))) | ~decrease11(X1)) ) | spl7_15), 4.62/1.14 inference(resolution,[],[f321,f182])). 4.62/1.14 tff(f321,plain,( 4.62/1.14 ~$less(sK5,sK2) | spl7_15), 4.62/1.14 inference(avatar_component_clause,[],[f319])). 4.62/1.14 tff(f384,plain,( 4.62/1.14 ~spl7_16 | spl7_21 | ~spl7_18 | ~spl7_19), 4.62/1.14 inference(avatar_split_clause,[],[f369,f356,f348,f381,f329])). 4.62/1.14 tff(f329,plain,( 4.62/1.14 spl7_16 <=> $less(sK5,sK3)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_16])])). 4.62/1.14 tff(f381,plain,( 4.62/1.14 spl7_21 <=> $less(sK5,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_21])])). 4.62/1.14 tff(f356,plain,( 4.62/1.14 spl7_19 <=> ! [X7 : $int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(X7,sK3))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_19])])). 4.62/1.14 tff(f369,plain,( 4.62/1.14 $less(sK5,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK5,sK3) | (~spl7_18 | ~spl7_19)), 4.62/1.14 inference(trivial_inequality_removal,[],[f368])). 4.62/1.14 tff(f368,plain,( 4.62/1.14 0 != 0 | $less(sK5,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK5,sK3) | (~spl7_18 | ~spl7_19)), 4.62/1.14 inference(forward_demodulation,[],[f365,f148])). 4.62/1.14 tff(f365,plain,( 4.62/1.14 0 != tb2t(t2tb(0)) | $less(sK5,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK5,sK3) | (~spl7_18 | ~spl7_19)), 4.62/1.14 inference(superposition,[],[f357,f350])). 4.62/1.14 tff(f357,plain,( 4.62/1.14 ( ! [X7:$int] : (0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(X7,sK3)) ) | ~spl7_19), 4.62/1.14 inference(avatar_component_clause,[],[f356])). 4.62/1.14 tff(f374,plain,( 4.62/1.14 ~spl7_20 | spl7_13 | ~spl7_12 | ~spl7_19), 4.62/1.14 inference(avatar_split_clause,[],[f367,f356,f297,f303,f371])). 4.62/1.14 tff(f371,plain,( 4.62/1.14 spl7_20 <=> $less(sK3,sK3)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_20])])). 4.62/1.14 tff(f367,plain,( 4.62/1.14 $less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK3,sK3) | (~spl7_12 | ~spl7_19)), 4.62/1.14 inference(trivial_inequality_removal,[],[f366])). 4.62/1.14 tff(f366,plain,( 4.62/1.14 0 != 0 | $less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK3,sK3) | (~spl7_12 | ~spl7_19)), 4.62/1.14 inference(forward_demodulation,[],[f364,f148])). 4.62/1.14 tff(f364,plain,( 4.62/1.14 0 != tb2t(t2tb(0)) | $less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))) | ~$less(sK3,sK3) | (~spl7_12 | ~spl7_19)), 4.62/1.14 inference(superposition,[],[f357,f299])). 4.62/1.14 tff(f358,plain,( 4.62/1.14 spl7_19 | spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f193,f237,f356])). 4.62/1.14 tff(f193,plain,( 4.62/1.14 ( ! [X7:$int] : (sK3 = -1 | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,sK3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) )), 4.62/1.14 inference(evaluation,[],[f130])). 4.62/1.14 tff(f130,plain,( 4.62/1.14 ( ! [X7:$int] : ($uminus(1) = sK3 | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(X7))) | ~$less(X7,sK3) | $less(X7,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))) )), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f351,plain,( 4.62/1.14 spl7_18 | ~spl7_17), 4.62/1.14 inference(avatar_split_clause,[],[f345,f341,f348])). 4.62/1.14 tff(f341,plain,( 4.62/1.14 spl7_17 <=> 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5)))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_17])])). 4.62/1.14 tff(f345,plain,( 4.62/1.14 get(int,int,t2tb2(sK1),t2tb(sK5)) = t2tb(0) | ~spl7_17), 4.62/1.14 inference(superposition,[],[f147,f343])). 4.62/1.14 tff(f343,plain,( 4.62/1.14 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) | ~spl7_17), 4.62/1.14 inference(avatar_component_clause,[],[f341])). 4.62/1.14 tff(f344,plain,( 4.62/1.14 spl7_14 | spl7_17 | ~spl7_4 | ~spl7_12), 4.62/1.14 inference(avatar_split_clause,[],[f339,f297,f233,f341,f315])). 4.62/1.14 tff(f339,plain,( 4.62/1.14 ~$less(sK3,sK0) | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(trivial_inequality_removal,[],[f338])). 4.62/1.14 tff(f338,plain,( 4.62/1.14 0 != 0 | ~$less(sK3,sK0) | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f337,f148])). 4.62/1.14 tff(f337,plain,( 4.62/1.14 0 != tb2t(t2tb(0)) | ~$less(sK3,sK0) | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f135,f299])). 4.62/1.14 tff(f135,plain,( 4.62/1.14 ~$less(sK3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK5))) | $less(sK3,sK2)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f332,plain,( 4.62/1.14 spl7_14 | spl7_16 | ~spl7_4 | ~spl7_12), 4.62/1.14 inference(avatar_split_clause,[],[f327,f297,f233,f329,f315])). 4.62/1.14 tff(f327,plain,( 4.62/1.14 ~$less(sK3,sK0) | $less(sK5,sK3) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(trivial_inequality_removal,[],[f326])). 4.62/1.14 tff(f326,plain,( 4.62/1.14 0 != 0 | ~$less(sK3,sK0) | $less(sK5,sK3) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f325,f148])). 4.62/1.14 tff(f325,plain,( 4.62/1.14 0 != tb2t(t2tb(0)) | ~$less(sK3,sK0) | $less(sK5,sK3) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f134,f299])). 4.62/1.14 tff(f134,plain,( 4.62/1.14 ~$less(sK3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | $less(sK5,sK3) | $less(sK3,sK2)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f322,plain,( 4.62/1.14 spl7_14 | ~spl7_15 | ~spl7_4 | ~spl7_12), 4.62/1.14 inference(avatar_split_clause,[],[f313,f297,f233,f319,f315])). 4.62/1.14 tff(f313,plain,( 4.62/1.14 ~$less(sK3,sK0) | ~$less(sK5,sK2) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(trivial_inequality_removal,[],[f312])). 4.62/1.14 tff(f312,plain,( 4.62/1.14 0 != 0 | ~$less(sK3,sK0) | ~$less(sK5,sK2) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f311,f148])). 4.62/1.14 tff(f311,plain,( 4.62/1.14 0 != tb2t(t2tb(0)) | ~$less(sK3,sK0) | ~$less(sK5,sK2) | $less(sK3,sK2) | ~spl7_12), 4.62/1.14 inference(forward_demodulation,[],[f133,f299])). 4.62/1.14 tff(f133,plain,( 4.62/1.14 ~$less(sK3,sK0) | 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | ~$less(sK5,sK2) | $less(sK3,sK2)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f306,plain,( 4.62/1.14 ~spl7_13 | spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f195,f237,f303])). 4.62/1.14 tff(f195,plain,( 4.62/1.14 sK3 = -1 | ~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.14 inference(evaluation,[],[f132])). 4.62/1.14 tff(f132,plain,( 4.62/1.14 $uminus(1) = sK3 | ~$less(sK3,$sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f300,plain,( 4.62/1.14 spl7_12 | ~spl7_11), 4.62/1.14 inference(avatar_split_clause,[],[f294,f290,f297])). 4.62/1.14 tff(f290,plain,( 4.62/1.14 spl7_11 <=> 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3)))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_11])])). 4.62/1.14 tff(f294,plain,( 4.62/1.14 get(int,int,t2tb2(sK1),t2tb(sK3)) = t2tb(0) | ~spl7_11), 4.62/1.14 inference(superposition,[],[f147,f292])). 4.62/1.14 tff(f292,plain,( 4.62/1.14 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3))) | ~spl7_11), 4.62/1.14 inference(avatar_component_clause,[],[f290])). 4.62/1.14 tff(f293,plain,( 4.62/1.14 spl7_11 | spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f192,f237,f290])). 4.62/1.14 tff(f192,plain,( 4.62/1.14 sK3 = -1 | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3)))), 4.62/1.14 inference(evaluation,[],[f129])). 4.62/1.14 tff(f129,plain,( 4.62/1.14 $uminus(1) = sK3 | 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK3)))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f278,plain,( 4.62/1.14 ~spl7_10), 4.62/1.14 inference(avatar_split_clause,[],[f124,f275])). 4.62/1.14 tff(f124,plain,( 4.62/1.14 ~$less($sum(sK2,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))),0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f269,plain,( 4.62/1.14 spl7_9), 4.62/1.14 inference(avatar_split_clause,[],[f120,f266])). 4.62/1.14 tff(f266,plain,( 4.62/1.14 spl7_9 <=> $less(0,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_9])])). 4.62/1.14 tff(f120,plain,( 4.62/1.14 $less(0,tb2t(get(int,int,t2tb2(sK1),t2tb(sK2))))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f264,plain,( 4.62/1.14 ~spl7_8), 4.62/1.14 inference(avatar_split_clause,[],[f117,f261])). 4.62/1.14 tff(f261,plain,( 4.62/1.14 spl7_8 <=> 0 = tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_8])])). 4.62/1.14 tff(f117,plain,( 4.62/1.14 0 != tb2t(get(int,int,t2tb2(sK1),t2tb(sK2)))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f251,plain,( 4.62/1.14 spl7_7), 4.62/1.14 inference(avatar_split_clause,[],[f123,f247])). 4.62/1.14 tff(f123,plain,( 4.62/1.14 decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f250,plain,( 4.62/1.14 spl7_7), 4.62/1.14 inference(avatar_split_clause,[],[f113,f247])). 4.62/1.14 tff(f113,plain,( 4.62/1.14 decrease11(tb2t1(mk_array1(int,sK0,t2tb2(sK1))))), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f245,plain,( 4.62/1.14 ~spl7_5 | ~spl7_6), 4.62/1.14 inference(avatar_split_clause,[],[f196,f242,f237])). 4.62/1.14 tff(f196,plain,( 4.62/1.14 ~$less(sK4,sK2) | sK3 != -1), 4.62/1.14 inference(evaluation,[],[f136])). 4.62/1.14 tff(f136,plain,( 4.62/1.14 ~$less(sK4,sK2) | $uminus(1) != sK3), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f240,plain,( 4.62/1.14 spl7_4 | spl7_5), 4.62/1.14 inference(avatar_split_clause,[],[f194,f237,f233])). 4.62/1.14 tff(f194,plain,( 4.62/1.14 sK3 = -1 | $less(sK3,sK0)), 4.62/1.14 inference(evaluation,[],[f131])). 4.62/1.14 tff(f131,plain,( 4.62/1.14 $uminus(1) = sK3 | $less(sK3,sK0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f219,plain,( 4.62/1.14 spl7_3), 4.62/1.14 inference(avatar_split_clause,[],[f122,f210])). 4.62/1.14 tff(f210,plain,( 4.62/1.14 spl7_3 <=> $less(sK2,sK0)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_3])])). 4.62/1.14 tff(f122,plain,( 4.62/1.14 $less(sK2,sK0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f218,plain,( 4.62/1.14 ~spl7_2), 4.62/1.14 inference(avatar_split_clause,[],[f121,f205])). 4.62/1.14 tff(f121,plain,( 4.62/1.14 ~$less(sK2,0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f217,plain,( 4.62/1.14 spl7_3), 4.62/1.14 inference(avatar_split_clause,[],[f119,f210])). 4.62/1.14 tff(f119,plain,( 4.62/1.14 $less(sK2,sK0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f216,plain,( 4.62/1.14 ~spl7_2), 4.62/1.14 inference(avatar_split_clause,[],[f118,f205])). 4.62/1.14 tff(f118,plain,( 4.62/1.14 ~$less(sK2,0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f215,plain,( 4.62/1.14 spl7_3), 4.62/1.14 inference(avatar_split_clause,[],[f116,f210])). 4.62/1.14 tff(f116,plain,( 4.62/1.14 $less(sK2,sK0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f214,plain,( 4.62/1.14 ~spl7_2), 4.62/1.14 inference(avatar_split_clause,[],[f115,f205])). 4.62/1.14 tff(f115,plain,( 4.62/1.14 ~$less(sK2,0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f213,plain,( 4.62/1.14 spl7_3), 4.62/1.14 inference(avatar_split_clause,[],[f114,f210])). 4.62/1.14 tff(f114,plain,( 4.62/1.14 $less(sK2,sK0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f208,plain,( 4.62/1.14 ~spl7_2), 4.62/1.14 inference(avatar_split_clause,[],[f112,f205])). 4.62/1.14 tff(f112,plain,( 4.62/1.14 ~$less(sK2,0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 tff(f203,plain,( 4.62/1.14 ~spl7_1), 4.62/1.14 inference(avatar_split_clause,[],[f111,f200])). 4.62/1.14 tff(f200,plain,( 4.62/1.14 spl7_1 <=> $less(sK0,0)), 4.62/1.14 introduced(avatar_definition,[new_symbols(naming,[spl7_1])])). 4.62/1.14 tff(f111,plain,( 4.62/1.14 ~$less(sK0,0)), 4.62/1.14 inference(cnf_transformation,[],[f106])). 4.62/1.14 % SZS output end Proof for theBenchmark 4.62/1.14 % (10964)------------------------------ 4.62/1.14 % (10964)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.62/1.14 % (10964)Termination reason: Refutation 4.62/1.14 4.62/1.14 % (10964)Memory used [KB]: 7931 4.62/1.14 % (10964)Time elapsed: 0.656 s 4.62/1.14 % (10964)------------------------------ 4.62/1.14 % (10964)------------------------------ 4.62/1.14 % (10950)Success in time 0.724 s 4.62/1.14 EOF