0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_vampire %s %d 0.12/0.34 Computer : n015.cluster.edu 0.12/0.34 Model : x86_64 x86_64 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 RAMPerCPU : 8042.1875MB 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 04:30:26 EDT 2022 0.19/0.34 % CPUTime : 0.20/0.50 % (5470)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 0.20/0.51 % (5450)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 0.20/0.51 % (5455)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.20/0.51 % (5448)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 0.20/0.51 % (5456)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 0.20/0.52 % (5463)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 0.20/0.52 % (5474)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 0.20/0.52 % (5462)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 0.20/0.52 % (5466)WARNING: option uwaf not known. 0.20/0.52 % (5458)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 0.20/0.52 % (5454)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 0.20/0.53 % (5451)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 0.20/0.53 % (5471)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 0.20/0.54 % (5466)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 0.20/0.54 % (5461)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 0.20/0.54 % (5459)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 0.20/0.54 % (5464)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 0.20/0.54 % (5459)Refutation not found, incomplete strategy% (5459)------------------------------ 0.20/0.54 % (5459)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.54 % (5469)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 0.20/0.54 % (5473)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 0.20/0.54 % (5465)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 0.20/0.55 % (5475)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 0.20/0.55 % (5467)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 0.20/0.55 % (5459)Termination reason: Refutation not found, incomplete strategy 0.20/0.55 0.20/0.55 % (5459)Memory used [KB]: 6140 0.20/0.55 % (5459)Time elapsed: 0.134 s 0.20/0.55 % (5459)------------------------------ 0.20/0.55 % (5459)------------------------------ 0.20/0.55 % (5460)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 0.20/0.55 % (5457)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 0.20/0.55 % (5467)Refutation not found, incomplete strategy% (5467)------------------------------ 0.20/0.55 % (5467)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.56 % (5467)Termination reason: Refutation not found, incomplete strategy 0.20/0.56 0.20/0.56 % (5467)Memory used [KB]: 6140 0.20/0.56 % (5467)Time elapsed: 0.143 s 0.20/0.56 % (5467)------------------------------ 0.20/0.56 % (5467)------------------------------ 0.20/0.56 % (5472)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 1.48/0.57 % (5453)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 1.48/0.57 % (5452)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 1.48/0.57 % (5449)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 1.48/0.57 % (5477)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 1.48/0.57 % (5477)Refutation not found, incomplete strategy% (5477)------------------------------ 1.48/0.57 % (5477)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.48/0.57 % (5477)Termination reason: Refutation not found, incomplete strategy 1.48/0.57 1.48/0.57 % (5477)Memory used [KB]: 10618 1.48/0.57 % (5477)Time elapsed: 0.172 s 1.48/0.57 % (5477)------------------------------ 1.48/0.57 % (5477)------------------------------ 1.48/0.58 % (5476)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 1.65/0.59 % (5468)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 2.54/0.73 % (5471)Refutation not found, incomplete strategy% (5471)------------------------------ 2.54/0.73 % (5471)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.54/0.74 % (5465)Refutation not found, incomplete strategy% (5465)------------------------------ 2.54/0.74 % (5465)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.54/0.74 % (5465)Termination reason: Refutation not found, incomplete strategy 2.54/0.74 2.54/0.74 % (5465)Memory used [KB]: 6140 2.54/0.74 % (5465)Time elapsed: 0.303 s 2.54/0.74 % (5465)------------------------------ 2.54/0.74 % (5465)------------------------------ 2.54/0.74 % (5471)Termination reason: Refutation not found, incomplete strategy 2.54/0.74 2.54/0.74 % (5471)Memory used [KB]: 6140 2.54/0.74 % (5471)Time elapsed: 0.315 s 2.54/0.74 % (5471)------------------------------ 2.54/0.74 % (5471)------------------------------ 2.93/0.77 % (5478)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 2.93/0.79 % (5479)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 2.93/0.83 % (5480)WARNING: option uwaf not known. 2.93/0.83 % (5480)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 3.73/0.91 % (5458)Time limit reached! 3.73/0.91 % (5458)------------------------------ 3.73/0.91 % (5458)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.73/0.91 % (5458)Termination reason: Time limit 3.73/0.91 3.73/0.91 % (5458)Memory used [KB]: 6268 3.73/0.91 % (5458)Time elapsed: 0.503 s 3.73/0.91 % (5458)------------------------------ 3.73/0.91 % (5458)------------------------------ 3.73/0.91 % (5469)Time limit reached! 3.73/0.91 % (5469)------------------------------ 3.73/0.91 % (5469)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.73/0.91 % (5469)Termination reason: Time limit 3.73/0.91 3.73/0.91 % (5469)Memory used [KB]: 14200 3.73/0.91 % (5469)Time elapsed: 0.513 s 3.73/0.91 % (5469)------------------------------ 3.73/0.91 % (5469)------------------------------ 3.73/0.92 % (5481)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 4.08/0.98 % (5482)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 4.08/1.00 % (5454)Time limit reached! 4.08/1.00 % (5454)------------------------------ 4.08/1.00 % (5454)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.08/1.00 % (5454)Termination reason: Time limit 4.08/1.00 4.08/1.00 % (5454)Memory used [KB]: 7547 4.08/1.00 % (5454)Time elapsed: 0.615 s 4.08/1.00 % (5454)------------------------------ 4.08/1.00 % (5454)------------------------------ 4.51/1.03 % (5474)Time limit reached! 4.51/1.03 % (5474)------------------------------ 4.51/1.03 % (5474)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.51/1.03 % (5474)Termination reason: Time limit 4.51/1.03 4.51/1.03 % (5474)Memory used [KB]: 13048 4.51/1.03 % (5474)Time elapsed: 0.635 s 4.51/1.03 % (5474)------------------------------ 4.51/1.03 % (5474)------------------------------ 5.37/1.08 % (5483)ott+1004_5_av=off:bd=off:bs=on:cond=on:fde=none:lma=on:nm=64:nwc=1:sos=on:sp=reverse_arity:tha=off:thi=strong:uwa=one_side_constant_143 on theBenchmark 5.37/1.08 % (5483)Refutation not found, incomplete strategy% (5483)------------------------------ 5.37/1.08 % (5483)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.37/1.08 % (5483)Termination reason: Refutation not found, incomplete strategy 5.37/1.08 5.37/1.08 % (5483)Memory used [KB]: 1791 5.37/1.08 % (5483)Time elapsed: 0.143 s 5.37/1.08 % (5483)------------------------------ 5.37/1.08 % (5483)------------------------------ 5.37/1.11 % (5484)lrs+1011_7_aac=none:add=large:afr=on:afp=40000:afq=1.4:bd=off:bs=on:bsr=on:fsr=off:inw=on:lma=on:nm=64:nwc=2:nicw=on:sas=z3:stl=60:sos=all:sp=reverse_arity:tha=off:updr=off:uhcvi=on_541 on theBenchmark 5.37/1.12 % (5479)Refutation found. Thanks to Tanya! 5.37/1.12 % SZS status Theorem for theBenchmark 5.37/1.13 % SZS output start Proof for theBenchmark 5.37/1.13 tff(type_def_5, type, uni: $tType). 5.37/1.13 tff(type_def_6, type, ty: $tType). 5.37/1.13 tff(type_def_7, type, bool1: $tType). 5.37/1.13 tff(type_def_8, type, tuple02: $tType). 5.37/1.13 tff(type_def_9, type, array_int: $tType). 5.37/1.13 tff(func_def_0, type, witness1: ty > uni). 5.37/1.13 tff(func_def_1, type, int: ty). 5.37/1.13 tff(func_def_2, type, real: ty). 5.37/1.13 tff(func_def_3, type, bool: ty). 5.37/1.13 tff(func_def_4, type, true1: bool1). 5.37/1.13 tff(func_def_5, type, false1: bool1). 5.37/1.13 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 5.37/1.13 tff(func_def_7, type, tuple0: ty). 5.37/1.13 tff(func_def_8, type, tuple03: tuple02). 5.37/1.13 tff(func_def_9, type, qtmark: ty). 5.37/1.13 tff(func_def_10, type, map: (ty * ty) > ty). 5.37/1.13 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 5.37/1.13 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 5.37/1.13 tff(func_def_13, type, const: (ty * ty * uni) > uni). 5.37/1.13 tff(func_def_14, type, array: ty > ty). 5.37/1.13 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 5.37/1.13 tff(func_def_16, type, length1: (ty * uni) > $int). 5.37/1.13 tff(func_def_17, type, elts: (ty * uni) > uni). 5.37/1.13 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 5.37/1.13 tff(func_def_19, type, t2tb: $int > uni). 5.37/1.13 tff(func_def_20, type, tb2t: uni > $int). 5.37/1.13 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 5.37/1.13 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 5.37/1.13 tff(func_def_23, type, t2tb1: array_int > uni). 5.37/1.13 tff(func_def_24, type, tb2t1: uni > array_int). 5.37/1.13 tff(func_def_29, type, sK0: array_int). 5.37/1.13 tff(func_def_30, type, sK1: $int). 5.37/1.13 tff(func_def_31, type, sK2: $int). 5.37/1.13 tff(func_def_32, type, sK3: $int). 5.37/1.13 tff(func_def_33, type, sK4: (array_int * $int * $int * $int) > $int). 5.37/1.13 tff(func_def_34, type, sK5: (array_int * $int * $int * $int) > $int). 5.37/1.13 tff(pred_def_1, type, sort1: (ty * uni) > $o). 5.37/1.13 tff(pred_def_2, type, is_common_prefix1: (array_int * $int * $int * $int) > $o). 5.37/1.13 tff(pred_def_3, type, is_longest_common_prefix1: (array_int * $int * $int * $int) > $o). 5.37/1.13 tff(f605,plain,( 5.37/1.13 $false), 5.37/1.13 inference(avatar_sat_refutation,[],[f149,f154,f159,f167,f173,f185,f190,f195,f205,f222,f227,f232,f256,f298,f303,f308,f313,f339,f366,f371,f380,f386,f395,f414,f444,f457,f518,f519,f541,f542,f573,f575,f583,f589,f599,f604])). 5.37/1.13 tff(f604,plain,( 5.37/1.13 ~spl6_49 | spl6_30 | ~spl6_5 | spl6_18), 5.37/1.13 inference(avatar_split_clause,[],[f560,f300,f170,f392,f601])). 5.37/1.13 tff(f601,plain,( 5.37/1.13 spl6_49 <=> $less(sK5(sK0,sK1,sK2,sK3),sK5(sK0,sK1,sK2,sK3))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 5.37/1.13 tff(f392,plain,( 5.37/1.13 spl6_30 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,sK3))))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 5.37/1.13 tff(f170,plain,( 5.37/1.13 spl6_5 <=> is_common_prefix1(sK0,sK1,sK2,sK5(sK0,sK1,sK2,sK3))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 5.37/1.13 tff(f300,plain,( 5.37/1.13 spl6_18 <=> $less(sK5(sK0,sK1,sK2,sK3),0)), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 5.37/1.13 tff(f560,plain,( 5.37/1.13 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,sK3)))) | ~$less(sK5(sK0,sK1,sK2,sK3),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_18)), 5.37/1.13 inference(resolution,[],[f292,f302])). 5.37/1.13 tff(f302,plain,( 5.37/1.13 ~$less(sK5(sK0,sK1,sK2,sK3),0) | spl6_18), 5.37/1.13 inference(avatar_component_clause,[],[f300])). 5.37/1.13 tff(f292,plain,( 5.37/1.13 ( ! [X1:$int] : ($less(X1,0) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,X1))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,X1))) | ~$less(X1,sK5(sK0,sK1,sK2,sK3))) ) | ~spl6_5), 5.37/1.13 inference(resolution,[],[f172,f137])). 5.37/1.13 tff(f137,plain,( 5.37/1.13 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.13 inference(cnf_transformation,[],[f97])). 5.37/1.13 tff(f97,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | (tb2t(get2(int,t2tb1(X0),$sum(X1,sK4(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK4(X0,X1,X2,X3)))) & ~$less(sK4(X0,X1,X2,X3),0) & $less(sK4(X0,X1,X2,X3),X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)))), 5.37/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96])). 5.37/1.13 tff(f96,plain,( 5.37/1.13 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) => (tb2t(get2(int,t2tb1(X0),$sum(X1,sK4(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK4(X0,X1,X2,X3)))) & ~$less(sK4(X0,X1,X2,X3),0) & $less(sK4(X0,X1,X2,X3),X3)))), 5.37/1.13 introduced(choice_axiom,[])). 5.37/1.13 tff(f95,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)))), 5.37/1.13 inference(rectify,[],[f94])). 5.37/1.13 tff(f94,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)))), 5.37/1.13 inference(flattening,[],[f93])). 5.37/1.13 tff(f93,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | ($less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0))))), 5.37/1.13 inference(nnf_transformation,[],[f84])). 5.37/1.13 tff(f84,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 5.37/1.13 inference(flattening,[],[f83])). 5.37/1.13 tff(f83,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | ($less(X4,0) | ~$less(X4,X3))) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 5.37/1.13 inference(ennf_transformation,[],[f67])). 5.37/1.13 tff(f67,plain,( 5.37/1.13 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,X3)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4)))) & ~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 5.37/1.13 inference(rectify,[],[f39])). 5.37/1.13 tff(f39,plain,( 5.37/1.13 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X7,X17)) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X17)) => tb2t(get2(int,t2tb1(X0),$sum(X7,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X2)))) & ~$less(length1(int,t2tb1(X0)),$sum(X8,X17)) & ~$less(X17,0)) <=> is_common_prefix1(X0,X7,X8,X17))), 5.37/1.13 inference(theory_normalization,[],[f35])). 5.37/1.13 tff(f35,axiom,( 5.37/1.13 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : (($lesseq($sum(X7,X17),length1(int,t2tb1(X0))) & ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,X17)) => tb2t(get2(int,t2tb1(X0),$sum(X7,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X2)))) & $lesseq($sum(X8,X17),length1(int,t2tb1(X0))) & $lesseq(0,X17)) <=> is_common_prefix1(X0,X7,X8,X17))), 5.37/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_common_prefix_def)). 5.37/1.13 tff(f172,plain,( 5.37/1.13 is_common_prefix1(sK0,sK1,sK2,sK5(sK0,sK1,sK2,sK3)) | ~spl6_5), 5.37/1.13 inference(avatar_component_clause,[],[f170])). 5.37/1.13 tff(f599,plain,( 5.37/1.13 ~spl6_47 | spl6_48 | ~spl6_44 | ~spl6_5 | spl6_29), 5.37/1.13 inference(avatar_split_clause,[],[f590,f388,f170,f570,f596,f592])). 5.37/1.13 tff(f592,plain,( 5.37/1.13 spl6_47 <=> $less(sK5(sK0,sK1,sK2,0),sK5(sK0,sK1,sK2,0))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 5.37/1.13 tff(f596,plain,( 5.37/1.13 spl6_48 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,0)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,0))))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 5.37/1.13 tff(f570,plain,( 5.37/1.13 spl6_44 <=> 0 = sK3), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 5.37/1.13 tff(f388,plain,( 5.37/1.13 spl6_29 <=> $less(sK5(sK0,sK1,sK2,sK3),sK3)), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 5.37/1.13 tff(f590,plain,( 5.37/1.13 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,0)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,0)))) | ~$less(sK5(sK0,sK1,sK2,0),sK5(sK0,sK1,sK2,0)) | (~spl6_5 | spl6_29)), 5.37/1.13 inference(inner_rewriting,[],[f559])). 5.37/1.13 tff(f559,plain,( 5.37/1.13 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,sK3)))) | ~$less(sK5(sK0,sK1,sK2,sK3),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_29)), 5.37/1.13 inference(constrained_resolution,[],[f292,f390])). 5.37/1.13 tff(f390,plain,( 5.37/1.13 ~$less(sK5(sK0,sK1,sK2,sK3),sK3) | spl6_29), 5.37/1.13 inference(avatar_component_clause,[],[f388])). 5.37/1.13 tff(f589,plain,( 5.37/1.13 ~spl6_46 | ~spl6_5 | spl6_14 | spl6_15), 5.37/1.13 inference(avatar_split_clause,[],[f584,f229,f224,f170,f586])). 5.37/1.13 tff(f586,plain,( 5.37/1.13 spl6_46 <=> $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK5(sK0,sK1,sK2,sK3))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 5.37/1.13 tff(f224,plain,( 5.37/1.13 spl6_14 <=> $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),0)), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 5.37/1.13 tff(f229,plain,( 5.37/1.13 spl6_15 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1)))))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 5.37/1.13 tff(f584,plain,( 5.37/1.13 ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_14 | spl6_15)), 5.37/1.13 inference(global_subsumption,[],[f231,f558])). 5.37/1.13 tff(f558,plain,( 5.37/1.13 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_14)), 5.37/1.13 inference(resolution,[],[f292,f226])). 5.37/1.13 tff(f226,plain,( 5.37/1.13 ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),0) | spl6_14), 5.37/1.13 inference(avatar_component_clause,[],[f224])). 5.37/1.13 tff(f231,plain,( 5.37/1.13 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) != tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | spl6_15), 5.37/1.13 inference(avatar_component_clause,[],[f229])). 5.37/1.13 tff(f583,plain,( 5.37/1.13 ~spl6_45 | ~spl6_44 | ~spl6_5 | spl6_15 | spl6_28), 5.37/1.13 inference(avatar_split_clause,[],[f578,f383,f229,f170,f570,f580])). 5.37/1.13 tff(f580,plain,( 5.37/1.13 spl6_45 <=> $less(sK4(sK0,sK1,sK2,1),sK5(sK0,sK1,sK2,0))), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])). 5.37/1.13 tff(f383,plain,( 5.37/1.13 spl6_28 <=> $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK3)), 5.37/1.13 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 5.37/1.13 tff(f578,plain,( 5.37/1.13 0 != sK3 | ~$less(sK4(sK0,sK1,sK2,1),sK5(sK0,sK1,sK2,0)) | (~spl6_5 | spl6_15 | spl6_28)), 5.37/1.13 inference(evaluation,[],[f577])). 5.37/1.13 tff(f577,plain,( 5.37/1.13 0 != sK3 | ~$less(sK4(sK0,sK1,sK2,$sum(0,1)),sK5(sK0,sK1,sK2,0)) | (~spl6_5 | spl6_15 | spl6_28)), 5.37/1.13 inference(inner_rewriting,[],[f576])). 5.37/1.13 tff(f576,plain,( 5.37/1.13 0 != sK3 | ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_15 | spl6_28)), 5.37/1.13 inference(global_subsumption,[],[f231,f556])). 5.37/1.14 tff(f556,plain,( 5.37/1.14 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_28)), 5.37/1.14 inference(constrained_resolution,[],[f292,f385])). 5.37/1.14 tff(f385,plain,( 5.37/1.14 ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK3) | spl6_28), 5.37/1.14 inference(avatar_component_clause,[],[f383])). 5.37/1.14 tff(f575,plain,( 5.37/1.14 spl6_27 | ~spl6_4 | ~spl6_5 | spl6_6), 5.37/1.14 inference(avatar_split_clause,[],[f574,f182,f170,f164,f377])). 5.37/1.14 tff(f377,plain,( 5.37/1.14 spl6_27 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 5.37/1.14 tff(f164,plain,( 5.37/1.14 spl6_4 <=> $less(sK3,sK5(sK0,sK1,sK2,sK3))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 5.37/1.14 tff(f182,plain,( 5.37/1.14 spl6_6 <=> $less(sK3,0)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 5.37/1.14 tff(f574,plain,( 5.37/1.14 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3))) | (~spl6_4 | ~spl6_5 | spl6_6)), 5.37/1.14 inference(global_subsumption,[],[f166,f555])). 5.37/1.14 tff(f555,plain,( 5.37/1.14 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3))) | ~$less(sK3,sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_6)), 5.37/1.14 inference(resolution,[],[f292,f184])). 5.37/1.14 tff(f184,plain,( 5.37/1.14 ~$less(sK3,0) | spl6_6), 5.37/1.14 inference(avatar_component_clause,[],[f182])). 5.37/1.14 tff(f166,plain,( 5.37/1.14 $less(sK3,sK5(sK0,sK1,sK2,sK3)) | ~spl6_4), 5.37/1.14 inference(avatar_component_clause,[],[f164])). 5.37/1.14 tff(f573,plain,( 5.37/1.14 spl6_43 | ~spl6_44 | ~spl6_4 | ~spl6_5 | spl6_26), 5.37/1.14 inference(avatar_split_clause,[],[f564,f373,f170,f164,f570,f566])). 5.37/1.14 tff(f566,plain,( 5.37/1.14 spl6_43 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,0))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 5.37/1.14 tff(f373,plain,( 5.37/1.14 spl6_26 <=> $less(sK3,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 5.37/1.14 tff(f564,plain,( 5.37/1.14 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,0))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,0))) | (~spl6_4 | ~spl6_5 | spl6_26)), 5.37/1.14 inference(inner_rewriting,[],[f563])). 5.37/1.14 tff(f563,plain,( 5.37/1.14 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3))) | (~spl6_4 | ~spl6_5 | spl6_26)), 5.37/1.14 inference(global_subsumption,[],[f166,f554])). 5.37/1.14 tff(f554,plain,( 5.37/1.14 0 != sK3 | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3))) | ~$less(sK3,sK5(sK0,sK1,sK2,sK3)) | (~spl6_5 | spl6_26)), 5.37/1.14 inference(constrained_resolution,[],[f292,f375])). 5.37/1.14 tff(f375,plain,( 5.37/1.14 ~$less(sK3,sK3) | spl6_26), 5.37/1.14 inference(avatar_component_clause,[],[f373])). 5.37/1.14 tff(f542,plain,( 5.37/1.14 ~spl6_22 | spl6_23 | ~spl6_42 | ~spl6_3 | spl6_20), 5.37/1.14 inference(avatar_split_clause,[],[f535,f310,f156,f538,f359,f355])). 5.37/1.14 tff(f355,plain,( 5.37/1.14 spl6_22 <=> $less(length1(int,t2tb1(sK0)),sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 5.37/1.14 tff(f359,plain,( 5.37/1.14 spl6_23 <=> tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0)))))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])). 5.37/1.14 tff(f538,plain,( 5.37/1.14 spl6_42 <=> 0 = $sum(sK1,sK5(sK0,sK1,sK2,sK3))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 5.37/1.14 tff(f156,plain,( 5.37/1.14 spl6_3 <=> is_common_prefix1(sK0,sK1,sK2,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 5.37/1.14 tff(f310,plain,( 5.37/1.14 spl6_20 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 5.37/1.14 tff(f535,plain,( 5.37/1.14 0 != $sum(sK1,sK5(sK0,sK1,sK2,sK3)) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less(length1(int,t2tb1(sK0)),sK3) | (~spl6_3 | spl6_20)), 5.37/1.14 inference(constrained_resolution,[],[f312,f179])). 5.37/1.14 tff(f179,plain,( 5.37/1.14 ( ! [X1:$int] : ($less(X1,0) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,X1))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,X1))) | ~$less(X1,sK3)) ) | ~spl6_3), 5.37/1.14 inference(resolution,[],[f158,f137])). 5.37/1.14 tff(f158,plain,( 5.37/1.14 is_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_3), 5.37/1.14 inference(avatar_component_clause,[],[f156])). 5.37/1.14 tff(f312,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK5(sK0,sK1,sK2,sK3))) | spl6_20), 5.37/1.14 inference(avatar_component_clause,[],[f310])). 5.37/1.14 tff(f541,plain,( 5.37/1.14 ~spl6_38 | spl6_23 | ~spl6_39 | ~spl6_40 | ~spl6_42 | ~spl6_3 | spl6_20), 5.37/1.14 inference(avatar_split_clause,[],[f534,f310,f156,f538,f511,f507,f359,f503])). 5.37/1.14 tff(f503,plain,( 5.37/1.14 spl6_38 <=> $less($sum(sK2,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 5.37/1.14 tff(f507,plain,( 5.37/1.14 spl6_39 <=> $less($sum(sK1,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])). 5.37/1.14 tff(f511,plain,( 5.37/1.14 spl6_40 <=> sK3 = $sum(length1(int,t2tb1(sK0)),1)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 5.37/1.14 tff(f534,plain,( 5.37/1.14 0 != $sum(sK1,sK5(sK0,sK1,sK2,sK3)) | sK3 != $sum(length1(int,t2tb1(sK0)),1) | ~$less($sum(sK1,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less($sum(sK2,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0))) | (~spl6_3 | spl6_20)), 5.37/1.14 inference(constrained_resolution,[],[f312,f174])). 5.37/1.14 tff(f174,plain,( 5.37/1.14 ( ! [X0:$int] : ($less(X0,0) | sK3 != $sum(X0,1) | ~$less($sum(sK1,X0),length1(int,t2tb1(sK0))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,X0))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,X0))) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0)))) ) | ~spl6_3), 5.37/1.14 inference(constrained_resolution,[],[f158,f131])). 5.37/1.14 tff(f131,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0)))) )), 5.37/1.14 inference(cnf_transformation,[],[f82])). 5.37/1.14 tff(f82,plain,( 5.37/1.14 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))))), 5.37/1.14 inference(flattening,[],[f81])). 5.37/1.14 tff(f81,plain,( 5.37/1.14 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ($less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0)))))), 5.37/1.14 inference(ennf_transformation,[],[f66])). 5.37/1.14 tff(f66,plain,( 5.37/1.14 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & $less($sum(X1,X3),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X3))) & $less($sum(X2,X3),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 5.37/1.14 inference(rectify,[],[f38])). 5.37/1.14 tff(f38,plain,( 5.37/1.14 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : ((~$less(X17,0) & $less($sum(X7,X17),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X7,X17))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X17))) & $less($sum(X8,X17),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X7,X8,$sum(X17,1)))), 5.37/1.14 inference(theory_normalization,[],[f28])). 5.37/1.14 tff(f28,axiom,( 5.37/1.14 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : (($lesseq(0,X17) & $less($sum(X7,X17),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X7,X17))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X17))) & $less($sum(X8,X17),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X7,X8,$sum(X17,1)))), 5.37/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_common_prefix_if_last_char_are_different)). 5.37/1.14 tff(f519,plain,( 5.37/1.14 ~spl6_22 | spl6_23 | ~spl6_41 | ~spl6_3 | spl6_19), 5.37/1.14 inference(avatar_split_clause,[],[f500,f305,f156,f515,f359,f355])). 5.37/1.14 tff(f515,plain,( 5.37/1.14 spl6_41 <=> 0 = $sum(sK2,sK5(sK0,sK1,sK2,sK3))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 5.37/1.14 tff(f305,plain,( 5.37/1.14 spl6_19 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,sK5(sK0,sK1,sK2,sK3)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 5.37/1.14 tff(f500,plain,( 5.37/1.14 0 != $sum(sK2,sK5(sK0,sK1,sK2,sK3)) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less(length1(int,t2tb1(sK0)),sK3) | (~spl6_3 | spl6_19)), 5.37/1.14 inference(constrained_resolution,[],[f307,f179])). 5.37/1.14 tff(f307,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK5(sK0,sK1,sK2,sK3))) | spl6_19), 5.37/1.14 inference(avatar_component_clause,[],[f305])). 5.37/1.14 tff(f518,plain,( 5.37/1.14 ~spl6_38 | spl6_23 | ~spl6_39 | ~spl6_40 | ~spl6_41 | ~spl6_3 | spl6_19), 5.37/1.14 inference(avatar_split_clause,[],[f499,f305,f156,f515,f511,f507,f359,f503])). 5.37/1.14 tff(f499,plain,( 5.37/1.14 0 != $sum(sK2,sK5(sK0,sK1,sK2,sK3)) | sK3 != $sum(length1(int,t2tb1(sK0)),1) | ~$less($sum(sK1,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less($sum(sK2,length1(int,t2tb1(sK0))),length1(int,t2tb1(sK0))) | (~spl6_3 | spl6_19)), 5.37/1.14 inference(constrained_resolution,[],[f307,f174])). 5.37/1.14 tff(f457,plain,( 5.37/1.14 ~spl6_35 | spl6_30 | ~spl6_36 | ~spl6_37 | ~spl6_3 | spl6_18), 5.37/1.14 inference(avatar_split_clause,[],[f428,f300,f156,f454,f450,f392,f446])). 5.37/1.14 tff(f446,plain,( 5.37/1.14 spl6_35 <=> $less($sum(sK2,sK5(sK0,sK1,sK2,sK3)),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 5.37/1.14 tff(f450,plain,( 5.37/1.14 spl6_36 <=> $less($sum(sK1,sK5(sK0,sK1,sK2,sK3)),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 5.37/1.14 tff(f454,plain,( 5.37/1.14 spl6_37 <=> sK3 = $sum(sK5(sK0,sK1,sK2,sK3),1)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 5.37/1.14 tff(f428,plain,( 5.37/1.14 sK3 != $sum(sK5(sK0,sK1,sK2,sK3),1) | ~$less($sum(sK1,sK5(sK0,sK1,sK2,sK3)),length1(int,t2tb1(sK0))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,sK3)))) | ~$less($sum(sK2,sK5(sK0,sK1,sK2,sK3)),length1(int,t2tb1(sK0))) | (~spl6_3 | spl6_18)), 5.37/1.14 inference(resolution,[],[f174,f302])). 5.37/1.14 tff(f444,plain,( 5.37/1.14 ~spl6_32 | ~spl6_33 | ~spl6_34 | ~spl6_3 | spl6_14 | spl6_15), 5.37/1.14 inference(avatar_split_clause,[],[f431,f229,f224,f156,f441,f437,f433])). 5.37/1.14 tff(f433,plain,( 5.37/1.14 spl6_32 <=> $less($sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 5.37/1.14 tff(f437,plain,( 5.37/1.14 spl6_33 <=> $less($sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])). 5.37/1.14 tff(f441,plain,( 5.37/1.14 spl6_34 <=> sK3 = $sum(sK4(sK0,sK1,sK2,$sum(sK3,1)),1)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 5.37/1.14 tff(f431,plain,( 5.37/1.14 sK3 != $sum(sK4(sK0,sK1,sK2,$sum(sK3,1)),1) | ~$less($sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~$less($sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | (~spl6_3 | spl6_14 | spl6_15)), 5.37/1.14 inference(global_subsumption,[],[f231,f427])). 5.37/1.14 tff(f427,plain,( 5.37/1.14 sK3 != $sum(sK4(sK0,sK1,sK2,$sum(sK3,1)),1) | ~$less($sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | ~$less($sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | (~spl6_3 | spl6_14)), 5.37/1.14 inference(resolution,[],[f174,f226])). 5.37/1.14 tff(f414,plain,( 5.37/1.14 ~spl6_31 | ~spl6_4 | spl6_26), 5.37/1.14 inference(avatar_split_clause,[],[f400,f373,f164,f411])). 5.37/1.14 tff(f411,plain,( 5.37/1.14 spl6_31 <=> sK3 = sK5(sK0,sK1,sK2,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])). 5.37/1.14 tff(f400,plain,( 5.37/1.14 sK3 != sK5(sK0,sK1,sK2,sK3) | (~spl6_4 | spl6_26)), 5.37/1.14 inference(constrained_resolution,[],[f375,f166])). 5.37/1.14 tff(f395,plain,( 5.37/1.14 ~spl6_29 | spl6_30 | ~spl6_3 | spl6_18), 5.37/1.14 inference(avatar_split_clause,[],[f353,f300,f156,f392,f388])). 5.37/1.14 tff(f353,plain,( 5.37/1.14 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK5(sK0,sK1,sK2,sK3)))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK5(sK0,sK1,sK2,sK3)))) | ~$less(sK5(sK0,sK1,sK2,sK3),sK3) | (~spl6_3 | spl6_18)), 5.37/1.14 inference(resolution,[],[f179,f302])). 5.37/1.14 tff(f386,plain,( 5.37/1.14 ~spl6_28 | ~spl6_3 | spl6_14 | spl6_15), 5.37/1.14 inference(avatar_split_clause,[],[f381,f229,f224,f156,f383])). 5.37/1.14 tff(f381,plain,( 5.37/1.14 ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK3) | (~spl6_3 | spl6_14 | spl6_15)), 5.37/1.14 inference(global_subsumption,[],[f231,f352])). 5.37/1.14 tff(f352,plain,( 5.37/1.14 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),sK3) | (~spl6_3 | spl6_14)), 5.37/1.14 inference(resolution,[],[f179,f226])). 5.37/1.14 tff(f380,plain,( 5.37/1.14 ~spl6_26 | spl6_27 | ~spl6_3 | spl6_6), 5.37/1.14 inference(avatar_split_clause,[],[f350,f182,f156,f377,f373])). 5.37/1.14 tff(f350,plain,( 5.37/1.14 tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK3))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK3))) | ~$less(sK3,sK3) | (~spl6_3 | spl6_6)), 5.37/1.14 inference(resolution,[],[f179,f184])). 5.37/1.14 tff(f371,plain,( 5.37/1.14 ~spl6_22 | spl6_23 | ~spl6_25 | ~spl6_3 | spl6_8), 5.37/1.14 inference(avatar_split_clause,[],[f346,f192,f156,f368,f359,f355])). 5.37/1.14 tff(f368,plain,( 5.37/1.14 spl6_25 <=> 0 = $sum(sK1,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 5.37/1.14 tff(f192,plain,( 5.37/1.14 spl6_8 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 5.37/1.14 tff(f346,plain,( 5.37/1.14 0 != $sum(sK1,sK3) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less(length1(int,t2tb1(sK0)),sK3) | (~spl6_3 | spl6_8)), 5.37/1.14 inference(constrained_resolution,[],[f179,f194])). 5.37/1.14 tff(f194,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | spl6_8), 5.37/1.14 inference(avatar_component_clause,[],[f192])). 5.37/1.14 tff(f366,plain,( 5.37/1.14 ~spl6_22 | spl6_23 | ~spl6_24 | ~spl6_3 | spl6_7), 5.37/1.14 inference(avatar_split_clause,[],[f345,f187,f156,f363,f359,f355])). 5.37/1.14 tff(f363,plain,( 5.37/1.14 spl6_24 <=> 0 = $sum(sK2,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 5.37/1.14 tff(f187,plain,( 5.37/1.14 spl6_7 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 5.37/1.14 tff(f345,plain,( 5.37/1.14 0 != $sum(sK2,sK3) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,length1(int,t2tb1(sK0))))) = tb2t(get2(int,t2tb1(sK0),$sum(sK2,length1(int,t2tb1(sK0))))) | ~$less(length1(int,t2tb1(sK0)),sK3) | (~spl6_3 | spl6_7)), 5.37/1.14 inference(constrained_resolution,[],[f179,f189])). 5.37/1.14 tff(f189,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | spl6_7), 5.37/1.14 inference(avatar_component_clause,[],[f187])). 5.37/1.14 tff(f339,plain,( 5.37/1.14 ~spl6_21 | ~spl6_12 | spl6_14), 5.37/1.14 inference(avatar_split_clause,[],[f331,f224,f215,f336])). 5.37/1.14 tff(f336,plain,( 5.37/1.14 spl6_21 <=> 0 = $sum(sK3,1)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 5.37/1.14 tff(f215,plain,( 5.37/1.14 spl6_12 <=> $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 5.37/1.14 tff(f331,plain,( 5.37/1.14 0 != $sum(sK3,1) | (~spl6_12 | spl6_14)), 5.37/1.14 inference(constrained_resolution,[],[f217,f226])). 5.37/1.14 tff(f217,plain,( 5.37/1.14 $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | ~spl6_12), 5.37/1.14 inference(avatar_component_clause,[],[f215])). 5.37/1.14 tff(f313,plain,( 5.37/1.14 ~spl6_20 | ~spl6_5), 5.37/1.14 inference(avatar_split_clause,[],[f293,f170,f310])). 5.37/1.14 tff(f293,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK5(sK0,sK1,sK2,sK3))) | ~spl6_5), 5.37/1.14 inference(resolution,[],[f172,f138])). 5.37/1.14 tff(f138,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f308,plain,( 5.37/1.14 ~spl6_19 | ~spl6_5), 5.37/1.14 inference(avatar_split_clause,[],[f291,f170,f305])). 5.37/1.14 tff(f291,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK5(sK0,sK1,sK2,sK3))) | ~spl6_5), 5.37/1.14 inference(resolution,[],[f172,f136])). 5.37/1.14 tff(f136,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f303,plain,( 5.37/1.14 ~spl6_18 | ~spl6_5), 5.37/1.14 inference(avatar_split_clause,[],[f290,f170,f300])). 5.37/1.14 tff(f290,plain,( 5.37/1.14 ~$less(sK5(sK0,sK1,sK2,sK3),0) | ~spl6_5), 5.37/1.14 inference(resolution,[],[f172,f135])). 5.37/1.14 tff(f135,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(X3,0) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f298,plain,( 5.37/1.14 ~spl6_17 | spl6_2 | ~spl6_5), 5.37/1.14 inference(avatar_split_clause,[],[f286,f170,f151,f295])). 5.37/1.14 tff(f295,plain,( 5.37/1.14 spl6_17 <=> $sum(sK3,1) = sK5(sK0,sK1,sK2,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 5.37/1.14 tff(f151,plain,( 5.37/1.14 spl6_2 <=> is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 5.37/1.14 tff(f286,plain,( 5.37/1.14 $sum(sK3,1) != sK5(sK0,sK1,sK2,sK3) | (spl6_2 | ~spl6_5)), 5.37/1.14 inference(constrained_resolution,[],[f172,f153])). 5.37/1.14 tff(f153,plain,( 5.37/1.14 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) | spl6_2), 5.37/1.14 inference(avatar_component_clause,[],[f151])). 5.37/1.14 tff(f256,plain,( 5.37/1.14 ~spl6_16 | ~spl6_4 | spl6_6), 5.37/1.14 inference(avatar_split_clause,[],[f249,f182,f164,f253])). 5.37/1.14 tff(f253,plain,( 5.37/1.14 spl6_16 <=> 0 = sK5(sK0,sK1,sK2,sK3)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 5.37/1.14 tff(f249,plain,( 5.37/1.14 0 != sK5(sK0,sK1,sK2,sK3) | (~spl6_4 | spl6_6)), 5.37/1.14 inference(constrained_resolution,[],[f166,f184])). 5.37/1.14 tff(f232,plain,( 5.37/1.14 spl6_10 | spl6_11 | ~spl6_15 | spl6_13 | spl6_2), 5.37/1.14 inference(avatar_split_clause,[],[f200,f151,f219,f229,f211,f207])). 5.37/1.14 tff(f207,plain,( 5.37/1.14 spl6_10 <=> $less($sum(sK3,1),0)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 5.37/1.14 tff(f211,plain,( 5.37/1.14 spl6_11 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 5.37/1.14 tff(f219,plain,( 5.37/1.14 spl6_13 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1)))), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 5.37/1.14 tff(f200,plain,( 5.37/1.14 $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | tb2t(get2(int,t2tb1(sK0),$sum(sK1,sK4(sK0,sK1,sK2,$sum(sK3,1))))) != tb2t(get2(int,t2tb1(sK0),$sum(sK2,sK4(sK0,sK1,sK2,$sum(sK3,1))))) | $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less($sum(sK3,1),0) | spl6_2), 5.37/1.14 inference(resolution,[],[f153,f134])). 5.37/1.14 tff(f134,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | tb2t(get2(int,t2tb1(X0),$sum(X1,sK4(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK4(X0,X1,X2,X3)))) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f227,plain,( 5.37/1.14 spl6_10 | spl6_11 | ~spl6_14 | spl6_13 | spl6_2), 5.37/1.14 inference(avatar_split_clause,[],[f199,f151,f219,f224,f211,f207])). 5.37/1.14 tff(f199,plain,( 5.37/1.14 $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | ~$less(sK4(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less($sum(sK3,1),0) | spl6_2), 5.37/1.14 inference(resolution,[],[f153,f133])). 5.37/1.14 tff(f133,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ~$less(sK4(X0,X1,X2,X3),0) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f222,plain,( 5.37/1.14 spl6_10 | spl6_11 | spl6_12 | spl6_13 | spl6_2), 5.37/1.14 inference(avatar_split_clause,[],[f198,f151,f219,f215,f211,f207])). 5.37/1.14 tff(f198,plain,( 5.37/1.14 $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK4(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less($sum(sK3,1),0) | spl6_2), 5.37/1.14 inference(resolution,[],[f153,f132])). 5.37/1.14 tff(f132,plain,( 5.37/1.14 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(sK4(X0,X1,X2,X3),X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(X3,0)) )), 5.37/1.14 inference(cnf_transformation,[],[f97])). 5.37/1.14 tff(f205,plain,( 5.37/1.14 ~spl6_9 | spl6_2 | ~spl6_3), 5.37/1.14 inference(avatar_split_clause,[],[f196,f156,f151,f202])). 5.37/1.14 tff(f202,plain,( 5.37/1.14 spl6_9 <=> sK3 = $sum(sK3,1)), 5.37/1.14 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 5.37/1.14 tff(f196,plain,( 5.37/1.14 sK3 != $sum(sK3,1) | (spl6_2 | ~spl6_3)), 5.37/1.14 inference(constrained_resolution,[],[f153,f158])). 5.37/1.14 tff(f195,plain,( 5.37/1.14 ~spl6_8 | ~spl6_3), 5.37/1.14 inference(avatar_split_clause,[],[f180,f156,f192])). 5.37/1.14 tff(f180,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | ~spl6_3), 5.37/1.14 inference(resolution,[],[f158,f138])). 5.37/1.14 tff(f190,plain,( 5.37/1.14 ~spl6_7 | ~spl6_3), 5.37/1.14 inference(avatar_split_clause,[],[f178,f156,f187])). 5.37/1.14 tff(f178,plain,( 5.37/1.14 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | ~spl6_3), 5.37/1.14 inference(resolution,[],[f158,f136])). 5.37/1.14 tff(f185,plain,( 5.37/1.14 ~spl6_6 | ~spl6_3), 5.37/1.14 inference(avatar_split_clause,[],[f177,f156,f182])). 5.37/1.14 tff(f177,plain,( 5.37/1.14 ~$less(sK3,0) | ~spl6_3), 5.37/1.14 inference(resolution,[],[f158,f135])). 5.37/1.14 tff(f173,plain,( 5.37/1.14 spl6_5 | spl6_1), 5.37/1.14 inference(avatar_split_clause,[],[f168,f146,f170])). 5.37/1.15 tff(f146,plain,( 5.37/1.15 spl6_1 <=> is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 5.37/1.15 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 5.37/1.15 tff(f168,plain,( 5.37/1.15 is_common_prefix1(sK0,sK1,sK2,sK5(sK0,sK1,sK2,sK3)) | spl6_1), 5.37/1.15 inference(global_subsumption,[],[f100,f161])). 5.37/1.15 tff(f161,plain,( 5.37/1.15 is_common_prefix1(sK0,sK1,sK2,sK5(sK0,sK1,sK2,sK3)) | ~is_common_prefix1(sK0,sK1,sK2,sK3) | spl6_1), 5.37/1.15 inference(resolution,[],[f148,f140])). 5.37/1.15 tff(f140,plain,( 5.37/1.15 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,sK5(X0,X1,X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.15 inference(cnf_transformation,[],[f99])). 5.37/1.15 tff(f99,plain,( 5.37/1.15 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | (is_common_prefix1(X0,X1,X2,sK5(X0,X1,X2,X3)) & $less(X3,sK5(X0,X1,X2,X3))) | ~is_common_prefix1(X0,X1,X2,X3))), 5.37/1.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f86,f98])). 5.37/1.15 tff(f98,plain,( 5.37/1.15 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) => (is_common_prefix1(X0,X1,X2,sK5(X0,X1,X2,X3)) & $less(X3,sK5(X0,X1,X2,X3))))), 5.37/1.15 introduced(choice_axiom,[])). 5.37/1.16 tff(f86,plain,( 5.37/1.16 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) | ~is_common_prefix1(X0,X1,X2,X3))), 5.37/1.16 inference(flattening,[],[f85])). 5.37/1.16 tff(f85,plain,( 5.37/1.16 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) | ~is_common_prefix1(X0,X1,X2,X3)))), 5.37/1.16 inference(ennf_transformation,[],[f72])). 5.37/1.16 tff(f72,plain,( 5.37/1.16 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4)) & is_common_prefix1(X0,X1,X2,X3)) => is_longest_common_prefix1(X0,X1,X2,X3))), 5.37/1.16 inference(unused_predicate_definition_removal,[],[f68])). 5.37/1.16 tff(f68,plain,( 5.37/1.16 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4)) & is_common_prefix1(X0,X1,X2,X3)) <=> is_longest_common_prefix1(X0,X1,X2,X3))), 5.37/1.16 inference(rectify,[],[f19])). 5.37/1.16 tff(f19,axiom,( 5.37/1.16 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : ((! [X4 : $int] : ($less(X17,X4) => ~is_common_prefix1(X0,X7,X8,X4)) & is_common_prefix1(X0,X7,X8,X17)) <=> is_longest_common_prefix1(X0,X7,X8,X17))), 5.37/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_longest_common_prefix_def)). 5.37/1.16 tff(f148,plain,( 5.37/1.16 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3) | spl6_1), 5.37/1.16 inference(avatar_component_clause,[],[f146])). 5.37/1.16 tff(f100,plain,( 5.37/1.16 is_common_prefix1(sK0,sK1,sK2,sK3)), 5.37/1.16 inference(cnf_transformation,[],[f92])). 5.37/1.16 tff(f92,plain,( 5.37/1.16 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) & is_common_prefix1(sK0,sK1,sK2,sK3)), 5.37/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f74,f91])). 5.37/1.16 tff(f91,plain,( 5.37/1.16 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1)) & is_common_prefix1(X0,X1,X2,X3)) => (~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) & is_common_prefix1(sK0,sK1,sK2,sK3))), 5.37/1.16 introduced(choice_axiom,[])). 5.37/1.16 tff(f74,plain,( 5.37/1.16 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1)) & is_common_prefix1(X0,X1,X2,X3))), 5.37/1.16 inference(flattening,[],[f73])). 5.37/1.16 tff(f73,plain,( 5.37/1.16 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) & is_common_prefix1(X0,X1,X2,X3)))), 5.37/1.16 inference(ennf_transformation,[],[f40])). 5.37/1.16 tff(f40,plain,( 5.37/1.16 ~! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~is_common_prefix1(X0,X1,X2,$sum(X3,1)) & is_common_prefix1(X0,X1,X2,X3)) => is_longest_common_prefix1(X0,X1,X2,X3))), 5.37/1.16 inference(rectify,[],[f24])). 5.37/1.16 tff(f24,negated_conjecture,( 5.37/1.16 ~! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : ((~is_common_prefix1(X0,X7,X8,$sum(X17,1)) & is_common_prefix1(X0,X7,X8,X17)) => is_longest_common_prefix1(X0,X7,X8,X17))), 5.37/1.16 inference(negated_conjecture,[],[f23])). 5.37/1.16 tff(f23,conjecture,( 5.37/1.16 ! [X0 : array_int,X7 : $int,X8 : $int,X17 : $int] : ((~is_common_prefix1(X0,X7,X8,$sum(X17,1)) & is_common_prefix1(X0,X7,X8,X17)) => is_longest_common_prefix1(X0,X7,X8,X17))), 5.37/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',longest_common_prefix_succ)). 5.37/1.16 tff(f167,plain,( 5.37/1.16 spl6_4 | spl6_1), 5.37/1.16 inference(avatar_split_clause,[],[f162,f146,f164])). 5.37/1.16 tff(f162,plain,( 5.37/1.16 $less(sK3,sK5(sK0,sK1,sK2,sK3)) | spl6_1), 5.37/1.16 inference(global_subsumption,[],[f100,f160])). 5.37/1.16 tff(f160,plain,( 5.37/1.16 $less(sK3,sK5(sK0,sK1,sK2,sK3)) | ~is_common_prefix1(sK0,sK1,sK2,sK3) | spl6_1), 5.37/1.16 inference(resolution,[],[f148,f139])). 5.37/1.16 tff(f139,plain,( 5.37/1.16 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | $less(X3,sK5(X0,X1,X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 5.37/1.16 inference(cnf_transformation,[],[f99])). 5.37/1.16 tff(f159,plain,( 5.37/1.16 spl6_3), 5.37/1.16 inference(avatar_split_clause,[],[f100,f156])). 5.37/1.16 tff(f154,plain,( 5.37/1.16 ~spl6_2), 5.37/1.16 inference(avatar_split_clause,[],[f101,f151])). 5.37/1.16 tff(f101,plain,( 5.37/1.16 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 5.37/1.16 inference(cnf_transformation,[],[f92])). 5.37/1.16 tff(f149,plain,( 5.37/1.16 ~spl6_1), 5.37/1.16 inference(avatar_split_clause,[],[f102,f146])). 5.37/1.16 tff(f102,plain,( 5.37/1.16 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 5.37/1.16 inference(cnf_transformation,[],[f92])). 5.37/1.16 % SZS output end Proof for theBenchmark 5.37/1.16 % (5479)------------------------------ 5.37/1.16 % (5479)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.37/1.16 % (5479)Termination reason: Refutation 5.37/1.16 5.37/1.16 % (5479)Memory used [KB]: 6780 5.37/1.16 % (5479)Time elapsed: 0.448 s 5.37/1.16 % (5479)------------------------------ 5.37/1.16 % (5479)------------------------------ 5.37/1.16 % (5447)Success in time 0.795 s 5.37/1.16 EOF