0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_vampire %s %d 0.10/0.31 Computer : n024.cluster.edu 0.10/0.31 Model : x86_64 x86_64 0.10/0.31 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 RAMPerCPU : 8042.1875MB 0.10/0.31 OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 05:30:22 EDT 2022 0.10/0.31 % CPUTime : 0.17/0.47 % (29866)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 0.17/0.47 % (29868)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 0.17/0.48 % (29870)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 0.17/0.48 % (29878)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 0.17/0.48 % (29887)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 0.17/0.48 % (29879)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 0.17/0.49 % (29865)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 0.17/0.50 % (29875)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 0.17/0.50 % (29886)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 0.17/0.50 % (29876)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 0.17/0.50 % (29867)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 0.17/0.50 % (29871)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 0.17/0.51 % (29864)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 0.17/0.51 % (29877)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 0.17/0.52 % (29872)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 0.17/0.53 % (29882)WARNING: option uwaf not known. 0.17/0.53 % (29882)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 0.17/0.53 % (29892)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 0.17/0.53 % (29893)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 0.17/0.53 % (29891)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 0.17/0.54 % (29885)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 0.17/0.54 % (29874)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 0.17/0.54 % (29883)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 0.17/0.54 % (29869)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 1.58/0.54 % (29884)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 1.58/0.55 % (29873)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 1.58/0.55 % (29875)Refutation not found, incomplete strategy% (29875)------------------------------ 1.58/0.55 % (29875)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.58/0.55 % (29875)Termination reason: Refutation not found, incomplete strategy 1.58/0.55 1.58/0.55 % (29875)Memory used [KB]: 6524 1.58/0.55 % (29875)Time elapsed: 0.146 s 1.58/0.55 % (29875)------------------------------ 1.58/0.55 % (29875)------------------------------ 1.58/0.56 % (29888)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 1.69/0.57 % (29889)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 1.69/0.57 % (29880)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 1.69/0.57 % (29890)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 1.69/0.59 % (29881)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 1.69/0.62 % (29883)Refutation not found, incomplete strategy% (29883)------------------------------ 1.69/0.62 % (29883)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.69/0.62 % (29883)Termination reason: Refutation not found, incomplete strategy 1.69/0.62 1.69/0.62 % (29883)Memory used [KB]: 6652 1.69/0.62 % (29883)Time elapsed: 0.234 s 1.69/0.62 % (29883)------------------------------ 1.69/0.62 % (29883)------------------------------ 2.61/0.70 % (29887)Refutation not found, incomplete strategy% (29887)------------------------------ 2.61/0.70 % (29887)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.61/0.70 % (29887)Termination reason: Refutation not found, incomplete strategy 2.61/0.70 2.61/0.70 % (29887)Memory used [KB]: 6396 2.61/0.70 % (29887)Time elapsed: 0.265 s 2.61/0.70 % (29887)------------------------------ 2.61/0.70 % (29887)------------------------------ 3.51/0.83 % (29894)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 3.87/0.87 % (29881)Refutation not found, incomplete strategy% (29881)------------------------------ 3.87/0.87 % (29881)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.87/0.88 % (29881)Termination reason: Refutation not found, incomplete strategy 3.87/0.88 3.87/0.88 % (29881)Memory used [KB]: 6524 3.87/0.88 % (29881)Time elapsed: 0.479 s 3.87/0.88 % (29881)------------------------------ 3.87/0.88 % (29881)------------------------------ 3.87/0.89 % (29893)Time limit reached! 3.87/0.89 % (29893)------------------------------ 3.87/0.89 % (29893)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.87/0.89 % (29893)Termination reason: Time limit 3.87/0.89 3.87/0.89 % (29893)Memory used [KB]: 12792 3.87/0.89 % (29893)Time elapsed: 0.505 s 3.87/0.89 % (29893)------------------------------ 3.87/0.89 % (29893)------------------------------ 3.87/0.90 % (29895)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 3.87/0.92 % (29896)WARNING: option uwaf not known. 3.87/0.92 % (29885)Time limit reached! 3.87/0.92 % (29885)------------------------------ 3.87/0.92 % (29885)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.87/0.92 % (29885)Termination reason: Time limit 3.87/0.92 % (29885)Termination phase: Saturation 3.87/0.92 3.87/0.92 % (29885)Memory used [KB]: 14328 3.87/0.92 % (29885)Time elapsed: 0.500 s 3.87/0.92 % (29885)------------------------------ 3.87/0.92 % (29885)------------------------------ 3.87/0.92 % (29896)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 4.74/0.99 % (29880)Time limit reached! 4.74/0.99 % (29880)------------------------------ 4.74/0.99 % (29880)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.74/0.99 % (29880)Termination reason: Time limit 4.74/0.99 % (29880)Termination phase: Saturation 4.74/0.99 4.74/0.99 % (29880)Memory used [KB]: 6908 4.74/0.99 % (29880)Time elapsed: 0.600 s 4.74/0.99 % (29880)------------------------------ 4.74/0.99 % (29880)------------------------------ 4.74/1.00 % (29890)Time limit reached! 4.74/1.00 % (29890)------------------------------ 4.74/1.00 % (29890)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.74/1.00 % (29890)Termination reason: Time limit 4.74/1.00 4.74/1.00 % (29890)Memory used [KB]: 13048 4.74/1.00 % (29890)Time elapsed: 0.608 s 4.74/1.00 % (29890)------------------------------ 4.74/1.00 % (29890)------------------------------ 4.74/1.02 % (29870)Time limit reached! 4.74/1.02 % (29870)------------------------------ 4.74/1.02 % (29870)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.74/1.02 % (29870)Termination reason: Time limit 4.74/1.02 % (29870)Termination phase: Saturation 4.74/1.02 4.74/1.02 % (29870)Memory used [KB]: 7547 4.74/1.02 % (29870)Time elapsed: 0.600 s 4.74/1.02 % (29870)------------------------------ 4.74/1.02 % (29870)------------------------------ 5.07/1.04 % (29874)Time limit reached! 5.07/1.04 % (29874)------------------------------ 5.07/1.04 % (29874)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.07/1.04 % (29874)Termination reason: Time limit 5.07/1.04 5.07/1.04 % (29874)Memory used [KB]: 6524 5.07/1.04 % (29874)Time elapsed: 0.641 s 5.07/1.04 % (29874)------------------------------ 5.07/1.04 % (29874)------------------------------ 5.65/1.12 % (29897)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 6.18/1.14 % (29898)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 6.18/1.17 % (29899)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 6.55/1.25 % (29891)Time limit reached! 6.55/1.25 % (29891)------------------------------ 6.55/1.25 % (29891)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.55/1.25 % (29891)Termination reason: Time limit 6.55/1.25 6.55/1.25 % (29891)Memory used [KB]: 8443 6.55/1.25 % (29891)Time elapsed: 0.835 s 6.55/1.25 % (29891)------------------------------ 6.55/1.25 % (29891)------------------------------ 7.26/1.27 % (29900)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 7.26/1.28 % (29876)Time limit reached! 7.26/1.28 % (29876)------------------------------ 7.26/1.28 % (29876)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.26/1.28 % (29876)Termination reason: Time limit 7.26/1.28 % (29876)Termination phase: Saturation 7.26/1.28 7.26/1.28 % (29876)Memory used [KB]: 7931 7.26/1.28 % (29876)Time elapsed: 0.900 s 7.26/1.28 % (29876)------------------------------ 7.26/1.28 % (29876)------------------------------ 7.26/1.31 % (29884)Time limit reached! 7.26/1.31 % (29884)------------------------------ 7.26/1.31 % (29884)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.26/1.31 % (29884)Termination reason: Time limit 7.26/1.31 7.26/1.31 % (29884)Memory used [KB]: 7803 7.26/1.31 % (29884)Time elapsed: 0.918 s 7.26/1.31 % (29884)------------------------------ 7.26/1.31 % (29884)------------------------------ 7.90/1.40 % (29877)Time limit reached! 7.90/1.40 % (29877)------------------------------ 7.90/1.40 % (29877)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.90/1.42 % (29877)Termination reason: Time limit 7.90/1.42 % (29877)Termination phase: Saturation 7.90/1.42 7.90/1.42 % (29877)Memory used [KB]: 6780 7.90/1.42 % (29877)Time elapsed: 1.0000 s 7.90/1.42 % (29877)------------------------------ 7.90/1.42 % (29877)------------------------------ 9.02/1.53 % (29895)Time limit reached! 9.02/1.53 % (29895)------------------------------ 9.02/1.53 % (29895)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.02/1.53 % (29895)Termination reason: Time limit 9.02/1.53 9.02/1.53 % (29895)Memory used [KB]: 8059 9.02/1.53 % (29895)Time elapsed: 0.830 s 9.02/1.53 % (29895)------------------------------ 9.02/1.53 % (29895)------------------------------ 9.02/1.54 % (29879)Time limit reached! 9.02/1.54 % (29879)------------------------------ 9.02/1.54 % (29879)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.02/1.54 % (29879)Termination reason: Time limit 9.02/1.54 % (29879)Termination phase: Saturation 9.02/1.54 9.02/1.54 % (29879)Memory used [KB]: 8827 9.02/1.54 % (29879)Time elapsed: 1.0000 s 9.02/1.54 % (29879)------------------------------ 9.02/1.54 % (29879)------------------------------ 9.75/1.61 % (29871)Time limit reached! 9.75/1.61 % (29871)------------------------------ 9.75/1.61 % (29871)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.75/1.61 % (29871)Termination reason: Time limit 9.75/1.61 % (29871)Termination phase: Saturation 9.75/1.61 9.75/1.61 % (29871)Memory used [KB]: 10618 9.75/1.61 % (29871)Time elapsed: 1.100 s 9.75/1.61 % (29871)------------------------------ 9.75/1.61 % (29871)------------------------------ 10.53/1.71 % (29878)Time limit reached! 10.53/1.71 % (29878)------------------------------ 10.53/1.71 % (29878)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.53/1.71 % (29878)Termination reason: Time limit 10.53/1.71 10.53/1.71 % (29878)Memory used [KB]: 11385 10.53/1.71 % (29878)Time elapsed: 1.324 s 10.53/1.71 % (29878)------------------------------ 10.53/1.71 % (29878)------------------------------ 12.98/1.98 % (29898)Time limit reached! 12.98/1.98 % (29898)------------------------------ 12.98/1.98 % (29898)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.98/1.98 % (29898)Termination reason: Time limit 12.98/1.98 12.98/1.98 % (29898)Memory used [KB]: 11385 12.98/1.98 % (29898)Time elapsed: 1.024 s 12.98/1.98 % (29898)------------------------------ 12.98/1.98 % (29898)------------------------------ 14.16/2.13 % (29872)Time limit reached! 14.16/2.13 % (29872)------------------------------ 14.16/2.13 % (29872)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.16/2.13 % (29872)Termination reason: Time limit 14.16/2.13 14.16/2.13 % (29872)Memory used [KB]: 7675 14.16/2.13 % (29872)Time elapsed: 1.740 s 14.16/2.13 % (29872)------------------------------ 14.16/2.13 % (29872)------------------------------ 14.46/2.22 % (29869)Time limit reached! 14.46/2.22 % (29869)------------------------------ 14.46/2.22 % (29869)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.46/2.22 % (29869)Termination reason: Time limit 14.46/2.22 14.46/2.22 % (29869)Memory used [KB]: 15223 14.46/2.22 % (29869)Time elapsed: 1.831 s 14.46/2.22 % (29869)------------------------------ 14.46/2.22 % (29869)------------------------------ 21.62/3.13 % (29892)Refutation found. Thanks to Tanya! 21.62/3.13 % SZS status Theorem for theBenchmark 21.62/3.14 % SZS output start Proof for theBenchmark 21.62/3.14 tff(type_def_5, type, uni: $tType). 21.62/3.14 tff(type_def_6, type, ty: $tType). 21.62/3.14 tff(type_def_7, type, bool1: $tType). 21.62/3.14 tff(type_def_8, type, tuple02: $tType). 21.62/3.14 tff(type_def_9, type, map_int_int: $tType). 21.62/3.14 tff(type_def_10, type, sudoku_chunks1: $tType). 21.62/3.14 tff(type_def_11, type, array_int: $tType). 21.62/3.14 tff(func_def_0, type, witness1: ty > uni). 21.62/3.14 tff(func_def_1, type, int: ty). 21.62/3.14 tff(func_def_2, type, real: ty). 21.62/3.14 tff(func_def_3, type, bool: ty). 21.62/3.14 tff(func_def_4, type, true1: bool1). 21.62/3.14 tff(func_def_5, type, false1: bool1). 21.62/3.14 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 21.62/3.14 tff(func_def_7, type, tuple0: ty). 21.62/3.14 tff(func_def_8, type, tuple03: tuple02). 21.62/3.14 tff(func_def_9, type, qtmark: ty). 21.62/3.14 tff(func_def_10, type, map: (ty * ty) > ty). 21.62/3.14 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 21.62/3.14 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 21.62/3.14 tff(func_def_13, type, const: (ty * ty * uni) > uni). 21.62/3.14 tff(func_def_14, type, t2tb: map_int_int > uni). 21.62/3.14 tff(func_def_15, type, tb2t: uni > map_int_int). 21.62/3.14 tff(func_def_16, type, t2tb1: $int > uni). 21.62/3.14 tff(func_def_17, type, tb2t1: uni > $int). 21.62/3.14 tff(func_def_18, type, array: ty > ty). 21.62/3.14 tff(func_def_19, type, mk_array1: (ty * $int * uni) > uni). 21.62/3.14 tff(func_def_20, type, length1: (ty * uni) > $int). 21.62/3.14 tff(func_def_21, type, elts: (ty * uni) > uni). 21.62/3.14 tff(func_def_22, type, get2: (ty * uni * $int) > uni). 21.62/3.14 tff(func_def_23, type, set2: (ty * uni * $int * uni) > uni). 21.62/3.14 tff(func_def_24, type, make1: (ty * $int * uni) > uni). 21.62/3.14 tff(func_def_25, type, sudoku_chunks: ty). 21.62/3.14 tff(func_def_26, type, mk_sudoku_chunks1: (array_int * array_int * array_int * array_int * array_int * array_int) > sudoku_chunks1). 21.62/3.14 tff(func_def_27, type, column_start1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_28, type, column_offsets1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_29, type, row_start1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_30, type, row_offsets1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_31, type, square_start1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_32, type, square_offsets1: sudoku_chunks1 > array_int). 21.62/3.14 tff(func_def_33, type, t2tb2: array_int > uni). 21.62/3.14 tff(func_def_34, type, tb2t2: uni > array_int). 21.62/3.14 tff(func_def_42, type, sK0: $int). 21.62/3.14 tff(func_def_43, type, sK1: map_int_int). 21.62/3.14 tff(func_def_44, type, sK2: $int). 21.62/3.14 tff(func_def_45, type, sK3: map_int_int). 21.62/3.14 tff(func_def_46, type, sK4: $int). 21.62/3.14 tff(func_def_47, type, sK5: map_int_int). 21.62/3.14 tff(func_def_48, type, sK6: $int). 21.62/3.14 tff(func_def_49, type, sK7: map_int_int). 21.62/3.14 tff(func_def_50, type, sK8: $int). 21.62/3.14 tff(func_def_51, type, sK9: map_int_int). 21.62/3.14 tff(func_def_52, type, sK10: $int). 21.62/3.14 tff(func_def_53, type, sK11: map_int_int). 21.62/3.14 tff(func_def_54, type, sK12: $int). 21.62/3.14 tff(func_def_55, type, sK13: map_int_int). 21.62/3.14 tff(func_def_56, type, sK14: $int). 21.62/3.14 tff(func_def_57, type, sK15: map_int_int > $int). 21.62/3.14 tff(func_def_58, type, sK16: map_int_int > $int). 21.62/3.14 tff(func_def_59, type, sK17: (array_int * array_int) > $int). 21.62/3.14 tff(func_def_60, type, sK18: (array_int * array_int) > $int). 21.62/3.14 tff(func_def_61, type, sK19: (array_int * array_int) > $int). 21.62/3.14 tff(func_def_62, type, sK20: (array_int * array_int) > $int). 21.62/3.14 tff(func_def_63, type, sK21: (array_int * array_int) > $int). 21.62/3.14 tff(func_def_64, type, sK22: (sudoku_chunks1 * map_int_int) > $int). 21.62/3.14 tff(func_def_65, type, sK23: (map_int_int * map_int_int) > $int). 21.62/3.14 tff(func_def_66, type, sK24: (sudoku_chunks1 * map_int_int * $int) > $int). 21.62/3.14 tff(func_def_67, type, sK25: (map_int_int * map_int_int * $int * $int) > $int). 21.62/3.14 tff(func_def_68, type, sK26: (map_int_int * $int * array_int * array_int) > $int). 21.62/3.14 tff(func_def_69, type, sK27: (map_int_int * $int * array_int * array_int) > $int). 21.62/3.14 tff(func_def_70, type, sK28: (map_int_int * $int * array_int * array_int * $int) > $int). 21.62/3.14 tff(func_def_71, type, sK29: (map_int_int * $int * array_int * array_int * $int) > $int). 21.62/3.14 tff(pred_def_1, type, sort1: (ty * uni) > $o). 21.62/3.14 tff(pred_def_2, type, is_index1: $int > $o). 21.62/3.14 tff(pred_def_3, type, valid_values1: map_int_int > $o). 21.62/3.14 tff(pred_def_4, type, grid_eq_sub1: (map_int_int * map_int_int * $int * $int) > $o). 21.62/3.14 tff(pred_def_5, type, chunk_valid_indexes1: (array_int * array_int) > $o). 21.62/3.14 tff(pred_def_6, type, disjoint_chunks1: (array_int * array_int) > $o). 21.62/3.14 tff(pred_def_7, type, well_formed_sudoku1: sudoku_chunks1 > $o). 21.62/3.14 tff(pred_def_8, type, valid_chunk1: (map_int_int * $int * array_int * array_int) > $o). 21.62/3.14 tff(pred_def_9, type, valid_column1: (sudoku_chunks1 * map_int_int * $int) > $o). 21.62/3.14 tff(pred_def_10, type, valid_row1: (sudoku_chunks1 * map_int_int * $int) > $o). 21.62/3.14 tff(pred_def_11, type, valid_square1: (sudoku_chunks1 * map_int_int * $int) > $o). 21.62/3.14 tff(pred_def_12, type, valid1: (sudoku_chunks1 * map_int_int) > $o). 21.62/3.14 tff(pred_def_13, type, full1: map_int_int > $o). 21.62/3.14 tff(pred_def_14, type, included1: (map_int_int * map_int_int) > $o). 21.62/3.14 tff(pred_def_15, type, is_solution_for1: (sudoku_chunks1 * map_int_int * map_int_int) > $o). 21.62/3.14 tff(pred_def_16, type, valid_chunk_up_to1: (map_int_int * $int * array_int * array_int * $int) > $o). 21.62/3.14 tff(pred_def_17, type, valid_up_to1: (sudoku_chunks1 * map_int_int * $int) > $o). 21.62/3.14 tff(f7792,plain,( 21.62/3.14 $false), 21.62/3.14 inference(avatar_sat_refutation,[],[f606,f608,f612,f616,f618,f620,f622,f626,f628,f630,f632,f633,f634,f637,f638,f640,f641,f642,f646,f647,f649,f650,f654,f655,f657,f658,f662,f663,f665,f666,f670,f674,f678,f682,f686,f690,f692,f694,f698,f702,f708,f734,f741,f748,f752,f756,f757,f761,f783,f790,f797,f801,f805,f806,f810,f832,f839,f846,f850,f854,f855,f859,f881,f888,f895,f899,f903,f904,f908,f930,f937,f944,f948,f952,f953,f957,f1037,f1044,f1051,f1055,f1059,f1060,f1064,f1082,f1090,f1098,f1108,f1126,f1134,f1142,f1152,f1170,f1178,f1186,f1196,f1211,f1215,f1219,f1223,f1227,f1233,f1239,f1245,f1251,f1257,f1259,f1261,f1276,f1280,f1284,f1288,f1292,f1298,f1304,f1310,f1316,f1322,f1349,f1353,f1357,f1361,f1365,f1371,f1377,f1383,f1389,f1395,f1425,f1431,f1437,f1443,f1447,f1451,f1460,f1464,f1474,f1486,f1490,f1497,f1499,f1509,f1513,f1517,f1521,f1544,f1551,f1555,f1559,f1560,f1564,f1578,f1585,f1592,f1596,f1606,f1614,f1632,f1651,f1669,f1687,f1706,f1892,f1927,f1934,f1946,f1951,f1966,f1971,f2011,f2012,f2016,f2020,f2024,f2025,f2029,f2033,f2037,f2052,f2053,f2057,f2061,f2065,f2066,f2070,f2074,f2078,f2093,f2094,f2098,f2102,f2106,f2107,f2111,f2115,f2119,f2134,f2162,f2167,f2174,f2178,f2182,f2183,f2187,f2221,f2226,f2233,f2237,f2241,f2242,f2246,f2258,f2259,f2260,f2261,f2265,f2266,f2270,f2274,f2278,f2290,f2291,f2292,f2293,f2297,f2298,f2302,f2306,f2310,f2325,f2326,f2330,f2334,f2338,f2339,f2343,f2347,f2351,f2366,f2367,f2371,f2375,f2379,f2380,f2384,f2388,f2392,f2410,f2411,f2415,f2419,f2423,f2424,f2428,f2432,f2436,f2451,f2452,f2456,f2460,f2464,f2465,f2469,f2473,f2477,f2489,f2501,f2513,f2525,f2537,f2556,f2568,f2586,f2590,f2605,f2611,f2657,f2667,f2671,f2679,f2690,f2698,f2720,f2727,f2734,f2738,f2742,f2743,f2747,f2773,f2774,f2778,f2782,f2786,f2793,f2797,f2803,f2811,f2812,f2818,f2819,f2823,f2825,f2861,f2865,f2869,f2876,f2880,f2884,f2891,f2895,f2899,f2906,f2910,f2914,f2921,f2925,f2929,f2934,f2938,f2942,f2949,f2953,f2957,f2964,f2968,f2972,f2987,f3017,f3035,f3051,f3062,f3083,f3090,f3097,f3101,f3105,f3106,f3110,f3133,f3153,f3161,f3165,f3171,f3181,f3191,f3215,f3221,f3225,f3226,f3227,f3228,f3229,f3230,f3235,f3243,f3251,f3255,f3261,f3268,f3269,f3275,f3280,f3281,f3287,f3289,f3291,f3292,f3293,f3294,f3295,f3296,f3297,f3298,f3299,f3300,f3301,f3303,f3305,f3310,f3317,f3444,f3451,f3455,f3477,f3484,f3488,f3510,f3517,f3521,f3543,f3550,f3554,f3569,f3594,f3619,f3644,f3650,f3667,f3673,f3729,f3735,f3739,f3740,f3741,f3742,f3743,f3744,f3749,f3774,f3780,f3784,f3785,f3786,f3787,f3788,f3789,f3794,f3987,f3988,f3992,f3996,f4000,f4045,f4046,f4050,f4058,f4059,f4063,f4070,f4149,f4154,f4159,f4164,f4169,f4174,f4179,f4184,f4189,f4194,f4199,f4204,f4209,f4214,f4219,f4226,f4231,f4236,f4241,f4246,f4256,f4261,f4266,f4271,f4276,f4281,f4286,f4291,f4295,f4301,f4308,f4309,f4313,f4322,f4323,f4327,f4335,f4336,f4340,f4349,f4350,f4354,f4427,f4464,f4495,f4497,f4536,f4636,f4640,f4665,f4669,f4694,f4699,f4711,f4715,f4727,f4731,f4756,f4760,f4772,f4777,f4789,f4793,f4939,f5193,f5198,f5207,f5216,f5221,f5226,f5231,f5236,f5241,f5246,f5251,f5256,f5261,f5266,f5271,f5286,f5291,f5300,f5309,f5318,f5352,f5361,f5370,f5379,f5388,f5397,f5406,f5415,f5433,f6074,f6089,f6094,f6099,f6104,f6109,f6114,f6119,f6124,f6129,f6134,f6149,f6154,f6805,f6814,f6816,f6832,f6841,f6843,f6875,f6896,f6903,f6907,f6937,f6946,f6948,f6952,f6972,f6977,f6984,f6988,f6992,f6993,f6997,f7035,f7070,f7072,f7093,f7128,f7130,f7150,f7171,f7206,f7208,f7229,f7264,f7266,f7287,f7322,f7324,f7345,f7380,f7382,f7401,f7503,f7532,f7536,f7544,f7552,f7586,f7593,f7628,f7657,f7658,f7666,f7674,f7708,f7743,f7772,f7773,f7781,f7789])). 21.62/3.14 tff(f7789,plain,( 21.62/3.14 ~spl30_395 | spl30_528 | ~spl30_463 | ~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_395), 21.62/3.14 inference(avatar_split_clause,[],[f7785,f4068,f1080,f1077,f595,f5289,f7787,f4068])). 21.62/3.14 tff(f7787,plain,( 21.62/3.14 spl30_528 <=> ! [X6 : map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~included1(X6,sK13))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_528])])). 21.62/3.14 tff(f5289,plain,( 21.62/3.14 spl30_463 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_463])])). 21.62/3.14 tff(f595,plain,( 21.62/3.14 spl30_7 <=> valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 21.62/3.14 tff(f1077,plain,( 21.62/3.14 spl30_81 <=> 9 = sK2), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_81])])). 21.62/3.14 tff(f1080,plain,( 21.62/3.14 spl30_82 <=> 81 = sK0), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 21.62/3.14 tff(f4068,plain,( 21.62/3.14 spl30_395 <=> is_index1(9)), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_395])])). 21.62/3.14 tff(f7785,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7784,f4321])). 21.62/3.14 tff(f4321,plain,( 21.62/3.14 81 = sK0 | ~spl30_82), 21.62/3.14 inference(avatar_component_clause,[],[f1080])). 21.62/3.14 tff(f7784,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7783,f4307])). 21.62/3.14 tff(f4307,plain,( 21.62/3.14 9 = sK2 | ~spl30_81), 21.62/3.14 inference(avatar_component_clause,[],[f1077])). 21.62/3.14 tff(f7783,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7782,f4321])). 21.62/3.14 tff(f7782,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7739,f4307])). 21.62/3.14 tff(f7739,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~is_index1(9) | valid_chunk1(X6,9,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_395)), 21.62/3.14 inference(resolution,[],[f3695,f4077])). 21.62/3.14 tff(f4077,plain,( 21.62/3.14 ( ! [X6:array_int,X4:map_int_int,X7:map_int_int,X5:array_int] : (~valid_chunk1(X7,9,X5,X6) | valid_chunk1(X4,9,X5,X6) | ~chunk_valid_indexes1(X5,X6) | ~included1(X4,X7)) ) | ~spl30_395), 21.62/3.14 inference(resolution,[],[f4069,f367])). 21.62/3.14 tff(f367,plain,( 21.62/3.14 ( ! [X4:array_int,X2:$int,X0:map_int_int,X3:array_int,X1:map_int_int] : (valid_chunk1(X0,X2,X3,X4) | ~valid_chunk1(X1,X2,X3,X4) | ~chunk_valid_indexes1(X3,X4) | ~is_index1(X2) | ~included1(X0,X1)) )), 21.62/3.14 inference(cnf_transformation,[],[f137])). 21.62/3.14 tff(f137,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int,X3 : array_int,X4 : array_int] : (valid_chunk1(X0,X2,X3,X4) | ~valid_chunk1(X1,X2,X3,X4) | ~chunk_valid_indexes1(X3,X4) | ~is_index1(X2)) | ~included1(X0,X1))), 21.62/3.14 inference(flattening,[],[f136])). 21.62/3.14 tff(f136,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int,X3 : array_int,X4 : array_int] : (valid_chunk1(X0,X2,X3,X4) | (~valid_chunk1(X1,X2,X3,X4) | ~chunk_valid_indexes1(X3,X4) | ~is_index1(X2))) | ~included1(X0,X1))), 21.62/3.14 inference(ennf_transformation,[],[f93])). 21.62/3.14 tff(f93,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (included1(X0,X1) => ! [X2 : $int,X3 : array_int,X4 : array_int] : ((valid_chunk1(X1,X2,X3,X4) & chunk_valid_indexes1(X3,X4) & is_index1(X2)) => valid_chunk1(X0,X2,X3,X4)))), 21.62/3.14 inference(rectify,[],[f25])). 21.62/3.14 tff(f25,axiom,( 21.62/3.14 ! [X4 : map_int_int,X30 : map_int_int] : (included1(X4,X30) => ! [X5 : $int,X3 : array_int,X20 : array_int] : ((valid_chunk1(X30,X5,X3,X20) & chunk_valid_indexes1(X3,X20) & is_index1(X5)) => valid_chunk1(X4,X5,X3,X20)))), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_valid_chunk)). 21.62/3.14 tff(f4069,plain,( 21.62/3.14 is_index1(9) | ~spl30_395), 21.62/3.14 inference(avatar_component_clause,[],[f4068])). 21.62/3.14 tff(f3695,plain,( 21.62/3.14 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.14 inference(forward_demodulation,[],[f3694,f457])). 21.62/3.14 tff(f457,plain,( 21.62/3.14 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X0) )), 21.62/3.14 inference(cnf_transformation,[],[f126])). 21.62/3.14 tff(f126,plain,( 21.62/3.14 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X0), 21.62/3.14 inference(rectify,[],[f24])). 21.62/3.14 tff(f24,axiom,( 21.62/3.14 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : column_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X6), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_start_def1)). 21.62/3.14 tff(f3694,plain,( 21.62/3.14 ( ! [X0:$int] : (valid_chunk1(sK13,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.14 inference(forward_demodulation,[],[f3692,f460])). 21.62/3.14 tff(f460,plain,( 21.62/3.14 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1) )), 21.62/3.14 inference(cnf_transformation,[],[f129])). 21.62/3.14 tff(f129,plain,( 21.62/3.14 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1), 21.62/3.14 inference(rectify,[],[f4])). 21.62/3.14 tff(f4,axiom,( 21.62/3.14 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : column_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X7), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_offsets_def1)). 21.62/3.14 tff(f3692,plain,( 21.62/3.14 ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK13,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f1479,f407])). 21.62/3.14 tff(f407,plain,( 21.62/3.14 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)) )), 21.62/3.14 inference(cnf_transformation,[],[f200])). 21.62/3.14 tff(f200,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)) & (valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))))), 21.62/3.14 inference(nnf_transformation,[],[f109])). 21.62/3.14 tff(f109,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) <=> valid_column1(X0,X1,X2))), 21.62/3.14 inference(rectify,[],[f37])). 21.62/3.14 tff(f37,axiom,( 21.62/3.14 ! [X3 : sudoku_chunks1,X4 : map_int_int,X5 : $int] : (valid_chunk1(X4,X5,column_start1(X3),column_offsets1(X3)) <=> valid_column1(X3,X4,X5))), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_column_def)). 21.62/3.14 tff(f1479,plain,( 21.62/3.14 ( ! [X4:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X4) | ~is_index1(X4)) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f596,f388])). 21.62/3.14 tff(f388,plain,( 21.62/3.14 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 21.62/3.14 inference(cnf_transformation,[],[f195])). 21.62/3.14 tff(f195,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_square1(X0,X1,X2) & valid_row1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ((~valid_column1(X0,X1,sK22(X0,X1)) | ~valid_square1(X0,X1,sK22(X0,X1)) | ~valid_row1(X0,X1,sK22(X0,X1))) & is_index1(sK22(X0,X1)))))), 21.62/3.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f193,f194])). 21.62/3.14 tff(f194,plain,( 21.62/3.14 ! [X1 : map_int_int,X0 : sudoku_chunks1] : (? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_square1(X0,X1,X3) | ~valid_row1(X0,X1,X3)) & is_index1(X3)) => ((~valid_column1(X0,X1,sK22(X0,X1)) | ~valid_square1(X0,X1,sK22(X0,X1)) | ~valid_row1(X0,X1,sK22(X0,X1))) & is_index1(sK22(X0,X1))))), 21.62/3.14 introduced(choice_axiom,[])). 21.62/3.14 tff(f193,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_square1(X0,X1,X2) & valid_row1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_square1(X0,X1,X3) | ~valid_row1(X0,X1,X3)) & is_index1(X3))))), 21.62/3.14 inference(rectify,[],[f192])). 21.62/3.14 tff(f192,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int] : ((! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_square1(X0,X1,X2) & valid_row1(X0,X1,X2)) | ~is_index1(X2)) | ~valid1(X0,X1)) & (valid1(X0,X1) | ? [X2 : $int] : ((~valid_column1(X0,X1,X2) | ~valid_square1(X0,X1,X2) | ~valid_row1(X0,X1,X2)) & is_index1(X2))))), 21.62/3.14 inference(nnf_transformation,[],[f142])). 21.62/3.14 tff(f142,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int] : (! [X2 : $int] : ((valid_column1(X0,X1,X2) & valid_square1(X0,X1,X2) & valid_row1(X0,X1,X2)) | ~is_index1(X2)) <=> valid1(X0,X1))), 21.62/3.14 inference(ennf_transformation,[],[f96])). 21.62/3.14 tff(f96,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int] : (! [X2 : $int] : (is_index1(X2) => (valid_column1(X0,X1,X2) & valid_square1(X0,X1,X2) & valid_row1(X0,X1,X2))) <=> valid1(X0,X1))), 21.62/3.14 inference(rectify,[],[f2])). 21.62/3.14 tff(f2,axiom,( 21.62/3.14 ! [X3 : sudoku_chunks1,X4 : map_int_int] : (! [X5 : $int] : (is_index1(X5) => (valid_column1(X3,X4,X5) & valid_square1(X3,X4,X5) & valid_row1(X3,X4,X5))) <=> valid1(X3,X4))), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_def)). 21.62/3.14 tff(f596,plain,( 21.62/3.14 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~spl30_7), 21.62/3.14 inference(avatar_component_clause,[],[f595])). 21.62/3.14 tff(f7781,plain,( 21.62/3.14 ~spl30_8 | spl30_527 | ~spl30_463 | ~spl30_7 | ~spl30_8 | ~spl30_81 | ~spl30_82), 21.62/3.14 inference(avatar_split_clause,[],[f7777,f1080,f1077,f598,f595,f5289,f7779,f598])). 21.62/3.14 tff(f7779,plain,( 21.62/3.14 spl30_527 <=> ! [X5 : map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~included1(X5,sK13))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_527])])). 21.62/3.14 tff(f598,plain,( 21.62/3.14 spl30_8 <=> is_index1(sK14)), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_8])])). 21.62/3.14 tff(f7777,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7776,f4321])). 21.62/3.14 tff(f7776,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7775,f4307])). 21.62/3.14 tff(f7775,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7774,f4321])). 21.62/3.14 tff(f7774,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_81)), 21.62/3.14 inference(forward_demodulation,[],[f7738,f4307])). 21.62/3.14 tff(f7738,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~is_index1(sK14) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8)), 21.62/3.14 inference(resolution,[],[f3695,f2979])). 21.62/3.14 tff(f2979,plain,( 21.62/3.14 ( ! [X6:array_int,X4:map_int_int,X7:map_int_int,X5:array_int] : (~valid_chunk1(X7,sK14,X5,X6) | valid_chunk1(X4,sK14,X5,X6) | ~chunk_valid_indexes1(X5,X6) | ~included1(X4,X7)) ) | ~spl30_8), 21.62/3.14 inference(resolution,[],[f2824,f367])). 21.62/3.14 tff(f2824,plain,( 21.62/3.14 is_index1(sK14) | ~spl30_8), 21.62/3.14 inference(avatar_component_clause,[],[f598])). 21.62/3.14 tff(f7773,plain,( 21.62/3.14 ~spl30_520 | ~spl30_8 | ~spl30_7 | ~spl30_348), 21.62/3.14 inference(avatar_split_clause,[],[f7737,f3308,f595,f598,f7534])). 21.62/3.14 tff(f7534,plain,( 21.62/3.14 spl30_520 <=> included1(sK13,sK13)), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_520])])). 21.62/3.14 tff(f3308,plain,( 21.62/3.14 spl30_348 <=> ! [X0 : map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(sK13,X0))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_348])])). 21.62/3.14 tff(f7737,plain,( 21.62/3.14 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_7 | ~spl30_348)), 21.62/3.14 inference(resolution,[],[f3695,f3309])). 21.62/3.14 tff(f3309,plain,( 21.62/3.14 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(sK13,X0)) ) | ~spl30_348), 21.62/3.14 inference(avatar_component_clause,[],[f3308])). 21.62/3.14 tff(f7772,plain,( 21.62/3.14 spl30_526 | ~spl30_463 | ~spl30_7 | ~spl30_81 | ~spl30_82), 21.62/3.14 inference(avatar_split_clause,[],[f7767,f1080,f1077,f595,f5289,f7769])). 21.62/3.14 tff(f7769,plain,( 21.62/3.14 spl30_526 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~included1(X4,sK13) | ~is_index1(X3))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_526])])). 21.62/3.14 tff(f7767,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7766,f4321])). 21.62/3.14 tff(f7766,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7765,f4307])). 21.62/3.14 tff(f7765,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_81 | ~spl30_82)), 21.62/3.14 inference(forward_demodulation,[],[f7764,f4321])). 21.62/3.14 tff(f7764,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_81)), 21.62/3.14 inference(forward_demodulation,[],[f7742,f4307])). 21.62/3.14 tff(f7742,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.14 inference(duplicate_literal_removal,[],[f7736])). 21.62/3.14 tff(f7736,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f3695,f367])). 21.62/3.14 tff(f7743,plain,( 21.62/3.14 ~spl30_8 | ~spl30_7 | spl30_13), 21.62/3.14 inference(avatar_split_clause,[],[f7734,f624,f595,f598])). 21.62/3.14 tff(f624,plain,( 21.62/3.14 spl30_13 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 21.62/3.14 tff(f7734,plain,( 21.62/3.14 ~is_index1(sK14) | (~spl30_7 | spl30_13)), 21.62/3.14 inference(resolution,[],[f3695,f627])). 21.62/3.14 tff(f627,plain,( 21.62/3.14 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_13), 21.62/3.14 inference(avatar_component_clause,[],[f624])). 21.62/3.14 tff(f7708,plain,( 21.62/3.14 spl30_397 | ~spl30_11 | ~spl30_87 | ~spl30_88), 21.62/3.14 inference(avatar_split_clause,[],[f7706,f1124,f1121,f610,f4152])). 21.62/3.14 tff(f4152,plain,( 21.62/3.14 spl30_397 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_397])])). 21.62/3.14 tff(f610,plain,( 21.62/3.14 spl30_11 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 21.62/3.14 tff(f1121,plain,( 21.62/3.14 spl30_87 <=> 9 = sK10), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 21.62/3.14 tff(f1124,plain,( 21.62/3.14 spl30_88 <=> 81 = sK8), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 21.62/3.14 tff(f7706,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_11 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7705,f4044])). 21.62/3.14 tff(f4044,plain,( 21.62/3.14 81 = sK8 | ~spl30_88), 21.62/3.14 inference(avatar_component_clause,[],[f1124])). 21.62/3.14 tff(f7705,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_11 | ~spl30_87)), 21.62/3.14 inference(forward_demodulation,[],[f611,f4057])). 21.62/3.14 tff(f4057,plain,( 21.62/3.14 9 = sK10 | ~spl30_87), 21.62/3.14 inference(avatar_component_clause,[],[f1121])). 21.62/3.14 tff(f611,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_11), 21.62/3.14 inference(avatar_component_clause,[],[f610])). 21.62/3.14 tff(f7674,plain,( 21.62/3.14 ~spl30_395 | spl30_525 | ~spl30_411 | ~spl30_7 | ~spl30_87 | ~spl30_88 | ~spl30_395), 21.62/3.14 inference(avatar_split_clause,[],[f7670,f4068,f1124,f1121,f595,f4224,f7672,f4068])). 21.62/3.14 tff(f7672,plain,( 21.62/3.14 spl30_525 <=> ! [X6 : map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~included1(X6,sK13))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_525])])). 21.62/3.14 tff(f4224,plain,( 21.62/3.14 spl30_411 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_411])])). 21.62/3.14 tff(f7670,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7669,f4044])). 21.62/3.14 tff(f7669,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7668,f4057])). 21.62/3.14 tff(f7668,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7667,f4044])). 21.62/3.14 tff(f7667,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7624,f4057])). 21.62/3.14 tff(f7624,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~is_index1(9) | valid_chunk1(X6,9,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_395)), 21.62/3.14 inference(resolution,[],[f3687,f4077])). 21.62/3.14 tff(f3687,plain,( 21.62/3.14 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.14 inference(forward_demodulation,[],[f3686,f458])). 21.62/3.14 tff(f458,plain,( 21.62/3.14 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X4) )), 21.62/3.14 inference(cnf_transformation,[],[f127])). 21.62/3.14 tff(f127,plain,( 21.62/3.14 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X4), 21.62/3.14 inference(rectify,[],[f27])). 21.62/3.14 tff(f27,axiom,( 21.62/3.14 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : square_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X10), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_start_def1)). 21.62/3.14 tff(f3686,plain,( 21.62/3.14 ( ! [X0:$int] : (valid_chunk1(sK13,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.14 inference(forward_demodulation,[],[f3684,f459])). 21.62/3.14 tff(f459,plain,( 21.62/3.14 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5) )), 21.62/3.14 inference(cnf_transformation,[],[f128])). 21.62/3.14 tff(f128,plain,( 21.62/3.14 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5), 21.62/3.14 inference(rectify,[],[f62])). 21.62/3.14 tff(f62,axiom,( 21.62/3.14 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : square_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X11), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_offsets_def1)). 21.62/3.14 tff(f3684,plain,( 21.62/3.14 ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK13,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f1478,f411])). 21.62/3.14 tff(f411,plain,( 21.62/3.14 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)) )), 21.62/3.14 inference(cnf_transformation,[],[f202])). 21.62/3.14 tff(f202,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)) & (valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))))), 21.62/3.14 inference(nnf_transformation,[],[f111])). 21.62/3.14 tff(f111,plain,( 21.62/3.14 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) <=> valid_square1(X0,X1,X2))), 21.62/3.14 inference(rectify,[],[f42])). 21.62/3.14 tff(f42,axiom,( 21.62/3.14 ! [X3 : sudoku_chunks1,X4 : map_int_int,X5 : $int] : (valid_chunk1(X4,X5,square_start1(X3),square_offsets1(X3)) <=> valid_square1(X3,X4,X5))), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_square_def)). 21.62/3.14 tff(f1478,plain,( 21.62/3.14 ( ! [X3:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X3) | ~is_index1(X3)) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f596,f387])). 21.62/3.14 tff(f387,plain,( 21.62/3.14 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 21.62/3.14 inference(cnf_transformation,[],[f195])). 21.62/3.14 tff(f7666,plain,( 21.62/3.14 ~spl30_8 | spl30_524 | ~spl30_411 | ~spl30_7 | ~spl30_8 | ~spl30_87 | ~spl30_88), 21.62/3.14 inference(avatar_split_clause,[],[f7662,f1124,f1121,f598,f595,f4224,f7664,f598])). 21.62/3.14 tff(f7664,plain,( 21.62/3.14 spl30_524 <=> ! [X5 : map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~included1(X5,sK13))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_524])])). 21.62/3.14 tff(f7662,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7661,f4044])). 21.62/3.14 tff(f7661,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7660,f4057])). 21.62/3.14 tff(f7660,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7659,f4044])). 21.62/3.14 tff(f7659,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_87)), 21.62/3.14 inference(forward_demodulation,[],[f7623,f4057])). 21.62/3.14 tff(f7623,plain,( 21.62/3.14 ( ! [X5:map_int_int] : (~is_index1(sK14) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8)), 21.62/3.14 inference(resolution,[],[f3687,f2979])). 21.62/3.14 tff(f7658,plain,( 21.62/3.14 ~spl30_520 | ~spl30_8 | ~spl30_7 | ~spl30_349), 21.62/3.14 inference(avatar_split_clause,[],[f7622,f3315,f595,f598,f7534])). 21.62/3.14 tff(f3315,plain,( 21.62/3.14 spl30_349 <=> ! [X0 : map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(sK13,X0))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_349])])). 21.62/3.14 tff(f7622,plain,( 21.62/3.14 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_7 | ~spl30_349)), 21.62/3.14 inference(resolution,[],[f3687,f3316])). 21.62/3.14 tff(f3316,plain,( 21.62/3.14 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(sK13,X0)) ) | ~spl30_349), 21.62/3.14 inference(avatar_component_clause,[],[f3315])). 21.62/3.14 tff(f7657,plain,( 21.62/3.14 spl30_523 | ~spl30_411 | ~spl30_7 | ~spl30_87 | ~spl30_88), 21.62/3.14 inference(avatar_split_clause,[],[f7652,f1124,f1121,f595,f4224,f7654])). 21.62/3.14 tff(f7654,plain,( 21.62/3.14 spl30_523 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~included1(X4,sK13) | ~is_index1(X3))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_523])])). 21.62/3.14 tff(f7652,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7651,f4044])). 21.62/3.14 tff(f7651,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7650,f4057])). 21.62/3.14 tff(f7650,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_87 | ~spl30_88)), 21.62/3.14 inference(forward_demodulation,[],[f7649,f4044])). 21.62/3.14 tff(f7649,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_87)), 21.62/3.14 inference(forward_demodulation,[],[f7627,f4057])). 21.62/3.14 tff(f7627,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.14 inference(duplicate_literal_removal,[],[f7621])). 21.62/3.14 tff(f7621,plain,( 21.62/3.14 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.14 inference(resolution,[],[f3687,f367])). 21.62/3.14 tff(f7628,plain,( 21.62/3.14 ~spl30_8 | ~spl30_7 | spl30_11), 21.62/3.14 inference(avatar_split_clause,[],[f7619,f610,f595,f598])). 21.62/3.14 tff(f7619,plain,( 21.62/3.14 ~is_index1(sK14) | (~spl30_7 | spl30_11)), 21.62/3.14 inference(resolution,[],[f3687,f636])). 21.62/3.14 tff(f636,plain,( 21.62/3.14 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_11), 21.62/3.14 inference(avatar_component_clause,[],[f610])). 21.62/3.14 tff(f7593,plain,( 21.62/3.14 spl30_520), 21.62/3.14 inference(avatar_contradiction_clause,[],[f7592])). 21.62/3.14 tff(f7592,plain,( 21.62/3.14 $false | spl30_520), 21.62/3.14 inference(trivial_inequality_removal,[],[f7591])). 21.62/3.14 tff(f7591,plain,( 21.62/3.14 tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) != tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) | spl30_520), 21.62/3.14 inference(resolution,[],[f7535,f392])). 21.62/3.14 tff(f392,plain,( 21.62/3.14 ( ! [X0:map_int_int,X1:map_int_int] : (included1(X0,X1) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1))))) )), 21.62/3.14 inference(cnf_transformation,[],[f199])). 21.62/3.14 tff(f199,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | (tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1))))), 21.62/3.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f197,f198])). 21.62/3.14 tff(f198,plain,( 21.62/3.14 ! [X1 : map_int_int,X0 : map_int_int] : (? [X3 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1)) => (tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1)))), 21.62/3.14 introduced(choice_axiom,[])). 21.62/3.14 tff(f197,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | ? [X3 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1))))), 21.62/3.14 inference(rectify,[],[f196])). 21.62/3.14 tff(f196,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | ? [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) & is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1))))), 21.62/3.14 inference(nnf_transformation,[],[f144])). 21.62/3.14 tff(f144,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) <=> included1(X0,X1))), 21.62/3.14 inference(flattening,[],[f143])). 21.62/3.14 tff(f143,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | (~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1))) <=> included1(X0,X1))), 21.62/3.14 inference(ennf_transformation,[],[f97])). 21.62/3.14 tff(f97,plain,( 21.62/3.14 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : ((is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) => tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))) <=> included1(X0,X1))), 21.62/3.14 inference(rectify,[],[f69])). 21.62/3.14 tff(f69,plain,( 21.62/3.14 ! [X27 : map_int_int,X28 : map_int_int] : (! [X5 : $int] : ((is_index1(X5) & ~$less(9,tb2t1(get(int,int,t2tb(X27),t2tb1(X5)))) & ~$less(tb2t1(get(int,int,t2tb(X27),t2tb1(X5))),1)) => tb2t1(get(int,int,t2tb(X28),t2tb1(X5))) = tb2t1(get(int,int,t2tb(X27),t2tb1(X5)))) <=> included1(X27,X28))), 21.62/3.14 inference(theory_normalization,[],[f44])). 21.62/3.14 tff(f44,axiom,( 21.62/3.14 ! [X27 : map_int_int,X28 : map_int_int] : (! [X5 : $int] : ((is_index1(X5) & $lesseq(tb2t1(get(int,int,t2tb(X27),t2tb1(X5))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X27),t2tb1(X5))))) => tb2t1(get(int,int,t2tb(X28),t2tb1(X5))) = tb2t1(get(int,int,t2tb(X27),t2tb1(X5)))) <=> included1(X27,X28))), 21.62/3.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',included_def)). 21.62/3.14 tff(f7535,plain,( 21.62/3.14 ~included1(sK13,sK13) | spl30_520), 21.62/3.14 inference(avatar_component_clause,[],[f7534])). 21.62/3.14 tff(f7586,plain,( 21.62/3.14 spl30_475 | ~spl30_12 | ~spl30_93 | ~spl30_94), 21.62/3.14 inference(avatar_split_clause,[],[f7584,f1168,f1165,f614,f6072])). 21.62/3.14 tff(f6072,plain,( 21.62/3.14 spl30_475 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_475])])). 21.62/3.14 tff(f614,plain,( 21.62/3.14 spl30_12 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 21.62/3.14 tff(f1165,plain,( 21.62/3.14 spl30_93 <=> 9 = sK6), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 21.62/3.14 tff(f1168,plain,( 21.62/3.14 spl30_94 <=> 81 = sK4), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 21.62/3.14 tff(f7584,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_12 | ~spl30_93 | ~spl30_94)), 21.62/3.14 inference(forward_demodulation,[],[f7583,f4348])). 21.62/3.14 tff(f4348,plain,( 21.62/3.14 81 = sK4 | ~spl30_94), 21.62/3.14 inference(avatar_component_clause,[],[f1168])). 21.62/3.14 tff(f7583,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_12 | ~spl30_93)), 21.62/3.14 inference(forward_demodulation,[],[f615,f4334])). 21.62/3.14 tff(f4334,plain,( 21.62/3.14 9 = sK6 | ~spl30_93), 21.62/3.14 inference(avatar_component_clause,[],[f1165])). 21.62/3.14 tff(f615,plain,( 21.62/3.14 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_12), 21.62/3.14 inference(avatar_component_clause,[],[f614])). 21.62/3.14 tff(f7552,plain,( 21.62/3.14 ~spl30_395 | spl30_522 | ~spl30_487 | ~spl30_7 | ~spl30_93 | ~spl30_94 | ~spl30_395), 21.62/3.14 inference(avatar_split_clause,[],[f7548,f4068,f1168,f1165,f595,f6152,f7550,f4068])). 21.62/3.14 tff(f7550,plain,( 21.62/3.14 spl30_522 <=> ! [X6 : map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~included1(X6,sK13))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_522])])). 21.62/3.14 tff(f6152,plain,( 21.62/3.14 spl30_487 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 21.62/3.14 introduced(avatar_definition,[new_symbols(naming,[spl30_487])])). 21.62/3.14 tff(f7548,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7547,f4348])). 21.62/3.14 tff(f7547,plain,( 21.62/3.14 ( ! [X6:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(9) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94 | ~spl30_395)), 21.62/3.14 inference(forward_demodulation,[],[f7546,f4334])). 21.62/3.15 tff(f7546,plain,( 21.62/3.15 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94 | ~spl30_395)), 21.62/3.15 inference(forward_demodulation,[],[f7545,f4348])). 21.62/3.15 tff(f7545,plain,( 21.62/3.15 ( ! [X6:map_int_int] : (valid_chunk1(X6,9,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(9) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_395)), 21.62/3.15 inference(forward_demodulation,[],[f7499,f4334])). 21.62/3.15 tff(f7499,plain,( 21.62/3.15 ( ! [X6:map_int_int] : (~is_index1(9) | valid_chunk1(X6,9,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X6,sK13)) ) | (~spl30_7 | ~spl30_395)), 21.62/3.15 inference(resolution,[],[f3680,f4077])). 21.62/3.15 tff(f3680,plain,( 21.62/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.15 inference(forward_demodulation,[],[f3679,f461])). 21.62/3.15 tff(f461,plain,( 21.62/3.15 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X2) )), 21.62/3.15 inference(cnf_transformation,[],[f130])). 21.62/3.15 tff(f130,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_start1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X2), 21.62/3.15 inference(rectify,[],[f23])). 21.62/3.15 tff(f23,axiom,( 21.62/3.15 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : row_start1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X8), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_start_def1)). 21.62/3.15 tff(f3679,plain,( 21.62/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_7), 21.62/3.15 inference(forward_demodulation,[],[f3677,f456])). 21.62/3.15 tff(f456,plain,( 21.62/3.15 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3) )), 21.62/3.15 inference(cnf_transformation,[],[f125])). 21.62/3.15 tff(f125,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3), 21.62/3.15 inference(rectify,[],[f21])). 21.62/3.15 tff(f21,axiom,( 21.62/3.15 ! [X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int,X10 : array_int,X11 : array_int] : row_offsets1(mk_sudoku_chunks1(X6,X7,X8,X9,X10,X11)) = X9), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_offsets_def1)). 21.62/3.15 tff(f3677,plain,( 21.62/3.15 ( ! [X0:$int] : (~is_index1(X0) | valid_chunk1(sK13,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))) ) | ~spl30_7), 21.62/3.15 inference(resolution,[],[f1477,f409])). 21.62/3.15 tff(f409,plain,( 21.62/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)) )), 21.62/3.15 inference(cnf_transformation,[],[f201])). 21.62/3.15 tff(f201,plain,( 21.62/3.15 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)) & (valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))))), 21.62/3.15 inference(nnf_transformation,[],[f110])). 21.62/3.15 tff(f110,plain,( 21.62/3.15 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) <=> valid_row1(X0,X1,X2))), 21.62/3.15 inference(rectify,[],[f55])). 21.62/3.15 tff(f55,axiom,( 21.62/3.15 ! [X3 : sudoku_chunks1,X4 : map_int_int,X5 : $int] : (valid_chunk1(X4,X5,row_start1(X3),row_offsets1(X3)) <=> valid_row1(X3,X4,X5))), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_row_def)). 21.62/3.15 tff(f1477,plain,( 21.62/3.15 ( ! [X2:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X2) | ~is_index1(X2)) ) | ~spl30_7), 21.62/3.15 inference(resolution,[],[f596,f386])). 21.62/3.15 tff(f386,plain,( 21.62/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 21.62/3.15 inference(cnf_transformation,[],[f195])). 21.62/3.15 tff(f7544,plain,( 21.62/3.15 ~spl30_8 | spl30_521 | ~spl30_487 | ~spl30_7 | ~spl30_8 | ~spl30_93 | ~spl30_94), 21.62/3.15 inference(avatar_split_clause,[],[f7540,f1168,f1165,f598,f595,f6152,f7542,f598])). 21.62/3.15 tff(f7542,plain,( 21.62/3.15 spl30_521 <=> ! [X5 : map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~included1(X5,sK13))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_521])])). 21.62/3.15 tff(f7540,plain,( 21.62/3.15 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7539,f4348])). 21.62/3.15 tff(f7539,plain,( 21.62/3.15 ( ! [X5:map_int_int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7538,f4334])). 21.62/3.15 tff(f7538,plain,( 21.62/3.15 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7537,f4348])). 21.62/3.15 tff(f7537,plain,( 21.62/3.15 ( ! [X5:map_int_int] : (valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8 | ~spl30_93)), 21.62/3.15 inference(forward_demodulation,[],[f7498,f4334])). 21.62/3.15 tff(f7498,plain,( 21.62/3.15 ( ! [X5:map_int_int] : (~is_index1(sK14) | valid_chunk1(X5,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X5,sK13)) ) | (~spl30_7 | ~spl30_8)), 21.62/3.15 inference(resolution,[],[f3680,f2979])). 21.62/3.15 tff(f7536,plain,( 21.62/3.15 ~spl30_520 | ~spl30_8 | ~spl30_7 | ~spl30_143), 21.62/3.15 inference(avatar_split_clause,[],[f7497,f1511,f595,f598,f7534])). 21.62/3.15 tff(f1511,plain,( 21.62/3.15 spl30_143 <=> ! [X0 : map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(sK13,X0))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 21.62/3.15 tff(f7497,plain,( 21.62/3.15 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_7 | ~spl30_143)), 21.62/3.15 inference(resolution,[],[f3680,f1512])). 21.62/3.15 tff(f1512,plain,( 21.62/3.15 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(sK13,X0)) ) | ~spl30_143), 21.62/3.15 inference(avatar_component_clause,[],[f1511])). 21.62/3.15 tff(f7532,plain,( 21.62/3.15 spl30_519 | ~spl30_487 | ~spl30_7 | ~spl30_93 | ~spl30_94), 21.62/3.15 inference(avatar_split_clause,[],[f7527,f1168,f1165,f595,f6152,f7529])). 21.62/3.15 tff(f7529,plain,( 21.62/3.15 spl30_519 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~included1(X4,sK13) | ~is_index1(X3))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_519])])). 21.62/3.15 tff(f7527,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7526,f4348])). 21.62/3.15 tff(f7526,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7525,f4334])). 21.62/3.15 tff(f7525,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_93 | ~spl30_94)), 21.62/3.15 inference(forward_demodulation,[],[f7524,f4348])). 21.62/3.15 tff(f7524,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,sK13)) ) | (~spl30_7 | ~spl30_93)), 21.62/3.15 inference(forward_demodulation,[],[f7502,f4334])). 21.62/3.15 tff(f7502,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.15 inference(duplicate_literal_removal,[],[f7496])). 21.62/3.15 tff(f7496,plain,( 21.62/3.15 ( ! [X4:map_int_int,X3:$int] : (~is_index1(X3) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | ~spl30_7), 21.62/3.15 inference(resolution,[],[f3680,f367])). 21.62/3.15 tff(f7503,plain,( 21.62/3.15 ~spl30_8 | ~spl30_7 | spl30_12), 21.62/3.15 inference(avatar_split_clause,[],[f7494,f614,f595,f598])). 21.62/3.15 tff(f7494,plain,( 21.62/3.15 ~is_index1(sK14) | (~spl30_7 | spl30_12)), 21.62/3.15 inference(resolution,[],[f3680,f617])). 21.62/3.15 tff(f617,plain,( 21.62/3.15 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_12), 21.62/3.15 inference(avatar_component_clause,[],[f614])). 21.62/3.15 tff(f7401,plain,( 21.62/3.15 ~spl30_395 | spl30_518 | ~spl30_395), 21.62/3.15 inference(avatar_split_clause,[],[f7397,f4068,f7399,f4068])). 21.62/3.15 tff(f7399,plain,( 21.62/3.15 spl30_518 <=> ! [X1 : array_int,X3 : map_int_int,X0 : map_int_int,X2 : array_int,X4 : map_int_int] : (valid_chunk1(X0,9,X1,X2) | ~included1(X3,X4) | ~valid_chunk1(X4,9,X1,X2) | ~included1(X0,X3) | ~chunk_valid_indexes1(X1,X2))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_518])])). 21.62/3.15 tff(f7397,plain,( 21.62/3.15 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,9,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,9,X1,X2) | ~is_index1(9) | ~included1(X3,X4)) ) | ~spl30_395), 21.62/3.15 inference(duplicate_literal_removal,[],[f7383])). 21.62/3.15 tff(f7383,plain,( 21.62/3.15 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,9,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,9,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~is_index1(9) | ~included1(X3,X4)) ) | ~spl30_395), 21.62/3.15 inference(resolution,[],[f4077,f367])). 21.62/3.15 tff(f7382,plain,( 21.62/3.15 spl30_517 | ~spl30_87 | ~spl30_88 | ~spl30_366), 21.62/3.15 inference(avatar_split_clause,[],[f7381,f3541,f1124,f1121,f7378])). 21.62/3.15 tff(f7378,plain,( 21.62/3.15 spl30_517 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_517])])). 21.62/3.15 tff(f3541,plain,( 21.62/3.15 spl30_366 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_366])])). 21.62/3.15 tff(f7381,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_88 | ~spl30_366)), 21.62/3.15 inference(forward_demodulation,[],[f7339,f4044])). 21.62/3.15 tff(f7339,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_366)), 21.62/3.15 inference(superposition,[],[f3542,f4057])). 21.62/3.15 tff(f3542,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_366), 21.62/3.15 inference(avatar_component_clause,[],[f3541])). 21.62/3.15 tff(f7380,plain,( 21.62/3.15 spl30_517 | ~spl30_87 | ~spl30_88 | ~spl30_366), 21.62/3.15 inference(avatar_split_clause,[],[f7376,f3541,f1124,f1121,f7378])). 21.62/3.15 tff(f7376,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_88 | ~spl30_366)), 21.62/3.15 inference(forward_demodulation,[],[f7338,f4057])). 21.62/3.15 tff(f7338,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_88 | ~spl30_366)), 21.62/3.15 inference(superposition,[],[f3542,f4044])). 21.62/3.15 tff(f7345,plain,( 21.62/3.15 spl30_516 | ~spl30_87 | ~spl30_88 | ~spl30_366), 21.62/3.15 inference(avatar_split_clause,[],[f7341,f3541,f1124,f1121,f7343])). 21.62/3.15 tff(f7343,plain,( 21.62/3.15 spl30_516 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_516])])). 21.62/3.15 tff(f7341,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_87 | ~spl30_88 | ~spl30_366)), 21.62/3.15 inference(forward_demodulation,[],[f7340,f4044])). 21.62/3.15 tff(f7340,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_87 | ~spl30_366)), 21.62/3.15 inference(forward_demodulation,[],[f7326,f4057])). 21.62/3.15 tff(f7326,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_366), 21.62/3.15 inference(resolution,[],[f3542,f348])). 21.62/3.15 tff(f348,plain,( 21.62/3.15 ( ! [X0:$int] : ($less(X0,81) | ~is_index1(X0)) )), 21.62/3.15 inference(cnf_transformation,[],[f171])). 21.62/3.15 tff(f171,plain,( 21.62/3.15 ! [X0 : $int] : ((is_index1(X0) | ~$less(X0,81) | $less(X0,0)) & (($less(X0,81) & ~$less(X0,0)) | ~is_index1(X0)))), 21.62/3.15 inference(flattening,[],[f170])). 21.62/3.15 tff(f170,plain,( 21.62/3.15 ! [X0 : $int] : ((is_index1(X0) | (~$less(X0,81) | $less(X0,0))) & (($less(X0,81) & ~$less(X0,0)) | ~is_index1(X0)))), 21.62/3.15 inference(nnf_transformation,[],[f87])). 21.62/3.15 tff(f87,plain,( 21.62/3.15 ! [X0 : $int] : (is_index1(X0) <=> ($less(X0,81) & ~$less(X0,0)))), 21.62/3.15 inference(rectify,[],[f64])). 21.62/3.15 tff(f64,plain,( 21.62/3.15 ! [X5 : $int] : (is_index1(X5) <=> ($less(X5,81) & ~$less(X5,0)))), 21.62/3.15 inference(theory_normalization,[],[f39])). 21.62/3.15 tff(f39,axiom,( 21.62/3.15 ! [X5 : $int] : (is_index1(X5) <=> ($less(X5,81) & $lesseq(0,X5)))), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_index_def)). 21.62/3.15 tff(f7324,plain,( 21.62/3.15 spl30_515 | ~spl30_87 | ~spl30_88 | ~spl30_361), 21.62/3.15 inference(avatar_split_clause,[],[f7323,f3508,f1124,f1121,f7320])). 21.62/3.15 tff(f7320,plain,( 21.62/3.15 spl30_515 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_515])])). 21.62/3.15 tff(f3508,plain,( 21.62/3.15 spl30_361 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_361])])). 21.62/3.15 tff(f7323,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_88 | ~spl30_361)), 21.62/3.15 inference(forward_demodulation,[],[f7281,f4044])). 21.62/3.15 tff(f7281,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_361)), 21.62/3.15 inference(superposition,[],[f3509,f4057])). 21.62/3.15 tff(f3509,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_361), 21.62/3.15 inference(avatar_component_clause,[],[f3508])). 21.62/3.15 tff(f7322,plain,( 21.62/3.15 spl30_515 | ~spl30_87 | ~spl30_88 | ~spl30_361), 21.62/3.15 inference(avatar_split_clause,[],[f7318,f3508,f1124,f1121,f7320])). 21.62/3.15 tff(f7318,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_88 | ~spl30_361)), 21.62/3.15 inference(forward_demodulation,[],[f7280,f4057])). 21.62/3.15 tff(f7280,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_88 | ~spl30_361)), 21.62/3.15 inference(superposition,[],[f3509,f4044])). 21.62/3.15 tff(f7287,plain,( 21.62/3.15 spl30_514 | ~spl30_87 | ~spl30_88 | ~spl30_361), 21.62/3.15 inference(avatar_split_clause,[],[f7283,f3508,f1124,f1121,f7285])). 21.62/3.15 tff(f7285,plain,( 21.62/3.15 spl30_514 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_514])])). 21.62/3.15 tff(f7283,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_87 | ~spl30_88 | ~spl30_361)), 21.62/3.15 inference(forward_demodulation,[],[f7282,f4044])). 21.62/3.15 tff(f7282,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_87 | ~spl30_361)), 21.62/3.15 inference(forward_demodulation,[],[f7268,f4057])). 21.62/3.15 tff(f7268,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_361), 21.62/3.15 inference(resolution,[],[f3509,f348])). 21.62/3.15 tff(f7266,plain,( 21.62/3.15 spl30_513 | ~spl30_81 | ~spl30_82 | ~spl30_356), 21.62/3.15 inference(avatar_split_clause,[],[f7265,f3475,f1080,f1077,f7262])). 21.62/3.15 tff(f7262,plain,( 21.62/3.15 spl30_513 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_513])])). 21.62/3.15 tff(f3475,plain,( 21.62/3.15 spl30_356 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_356])])). 21.62/3.15 tff(f7265,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_356)), 21.62/3.15 inference(forward_demodulation,[],[f7223,f4321])). 21.62/3.15 tff(f7223,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_356)), 21.62/3.15 inference(superposition,[],[f3476,f4307])). 21.62/3.15 tff(f3476,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_356), 21.62/3.15 inference(avatar_component_clause,[],[f3475])). 21.62/3.15 tff(f7264,plain,( 21.62/3.15 spl30_513 | ~spl30_81 | ~spl30_82 | ~spl30_356), 21.62/3.15 inference(avatar_split_clause,[],[f7260,f3475,f1080,f1077,f7262])). 21.62/3.15 tff(f7260,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_356)), 21.62/3.15 inference(forward_demodulation,[],[f7222,f4307])). 21.62/3.15 tff(f7222,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_82 | ~spl30_356)), 21.62/3.15 inference(superposition,[],[f3476,f4321])). 21.62/3.15 tff(f7229,plain,( 21.62/3.15 spl30_512 | ~spl30_81 | ~spl30_82 | ~spl30_356), 21.62/3.15 inference(avatar_split_clause,[],[f7225,f3475,f1080,f1077,f7227])). 21.62/3.15 tff(f7227,plain,( 21.62/3.15 spl30_512 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_512])])). 21.62/3.15 tff(f7225,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_82 | ~spl30_356)), 21.62/3.15 inference(forward_demodulation,[],[f7224,f4321])). 21.62/3.15 tff(f7224,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_356)), 21.62/3.15 inference(forward_demodulation,[],[f7210,f4307])). 21.62/3.15 tff(f7210,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_356), 21.62/3.15 inference(resolution,[],[f3476,f348])). 21.62/3.15 tff(f7208,plain,( 21.62/3.15 spl30_511 | ~spl30_81 | ~spl30_82 | ~spl30_351), 21.62/3.15 inference(avatar_split_clause,[],[f7207,f3442,f1080,f1077,f7204])). 21.62/3.15 tff(f7204,plain,( 21.62/3.15 spl30_511 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_511])])). 21.62/3.15 tff(f3442,plain,( 21.62/3.15 spl30_351 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_351])])). 21.62/3.15 tff(f7207,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_351)), 21.62/3.15 inference(forward_demodulation,[],[f7165,f4321])). 21.62/3.15 tff(f7165,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_351)), 21.62/3.15 inference(superposition,[],[f3443,f4307])). 21.62/3.15 tff(f3443,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_351), 21.62/3.15 inference(avatar_component_clause,[],[f3442])). 21.62/3.15 tff(f7206,plain,( 21.62/3.15 spl30_511 | ~spl30_81 | ~spl30_82 | ~spl30_351), 21.62/3.15 inference(avatar_split_clause,[],[f7202,f3442,f1080,f1077,f7204])). 21.62/3.15 tff(f7202,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_351)), 21.62/3.15 inference(forward_demodulation,[],[f7164,f4307])). 21.62/3.15 tff(f7164,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_82 | ~spl30_351)), 21.62/3.15 inference(superposition,[],[f3443,f4321])). 21.62/3.15 tff(f7171,plain,( 21.62/3.15 spl30_510 | ~spl30_81 | ~spl30_82 | ~spl30_351), 21.62/3.15 inference(avatar_split_clause,[],[f7167,f3442,f1080,f1077,f7169])). 21.62/3.15 tff(f7169,plain,( 21.62/3.15 spl30_510 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_510])])). 21.62/3.15 tff(f7167,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_82 | ~spl30_351)), 21.62/3.15 inference(forward_demodulation,[],[f7166,f4321])). 21.62/3.15 tff(f7166,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_351)), 21.62/3.15 inference(forward_demodulation,[],[f7152,f4307])). 21.62/3.15 tff(f7152,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_351), 21.62/3.15 inference(resolution,[],[f3443,f348])). 21.62/3.15 tff(f7150,plain,( 21.62/3.15 ~spl30_8 | spl30_509 | ~spl30_8), 21.62/3.15 inference(avatar_split_clause,[],[f7146,f598,f7148,f598])). 21.62/3.15 tff(f7148,plain,( 21.62/3.15 spl30_509 <=> ! [X1 : array_int,X3 : map_int_int,X0 : map_int_int,X2 : array_int,X4 : map_int_int] : (valid_chunk1(X0,sK14,X1,X2) | ~included1(X3,X4) | ~valid_chunk1(X4,sK14,X1,X2) | ~included1(X0,X3) | ~chunk_valid_indexes1(X1,X2))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_509])])). 21.62/3.15 tff(f7146,plain,( 21.62/3.15 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,sK14,X1,X2) | ~is_index1(sK14) | ~included1(X3,X4)) ) | ~spl30_8), 21.62/3.15 inference(duplicate_literal_removal,[],[f7132])). 21.62/3.15 tff(f7132,plain,( 21.62/3.15 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~is_index1(sK14) | ~included1(X3,X4)) ) | ~spl30_8), 21.62/3.15 inference(resolution,[],[f2979,f367])). 21.62/3.15 tff(f7130,plain,( 21.62/3.15 spl30_508 | ~spl30_93 | ~spl30_94 | ~spl30_199), 21.62/3.15 inference(avatar_split_clause,[],[f7129,f2219,f1168,f1165,f7126])). 21.62/3.15 tff(f7126,plain,( 21.62/3.15 spl30_508 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_508])])). 21.62/3.15 tff(f2219,plain,( 21.62/3.15 spl30_199 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_199])])). 21.62/3.15 tff(f7129,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_94 | ~spl30_199)), 21.62/3.15 inference(forward_demodulation,[],[f7087,f4348])). 21.62/3.15 tff(f7087,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_199)), 21.62/3.15 inference(superposition,[],[f2220,f4334])). 21.62/3.15 tff(f2220,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_199), 21.62/3.15 inference(avatar_component_clause,[],[f2219])). 21.62/3.15 tff(f7128,plain,( 21.62/3.15 spl30_508 | ~spl30_93 | ~spl30_94 | ~spl30_199), 21.62/3.15 inference(avatar_split_clause,[],[f7124,f2219,f1168,f1165,f7126])). 21.62/3.15 tff(f7124,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_94 | ~spl30_199)), 21.62/3.15 inference(forward_demodulation,[],[f7086,f4334])). 21.62/3.15 tff(f7086,plain,( 21.62/3.15 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_94 | ~spl30_199)), 21.62/3.15 inference(superposition,[],[f2220,f4348])). 21.62/3.15 tff(f7093,plain,( 21.62/3.15 spl30_507 | ~spl30_93 | ~spl30_94 | ~spl30_199), 21.62/3.15 inference(avatar_split_clause,[],[f7089,f2219,f1168,f1165,f7091])). 21.62/3.15 tff(f7091,plain,( 21.62/3.15 spl30_507 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_507])])). 21.62/3.15 tff(f7089,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_93 | ~spl30_94 | ~spl30_199)), 21.62/3.15 inference(forward_demodulation,[],[f7088,f4348])). 21.62/3.15 tff(f7088,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_93 | ~spl30_199)), 21.62/3.15 inference(forward_demodulation,[],[f7074,f4334])). 21.62/3.15 tff(f7074,plain,( 21.62/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_199), 21.62/3.15 inference(resolution,[],[f2220,f348])). 21.62/3.15 tff(f7072,plain,( 21.62/3.15 spl30_506 | ~spl30_93 | ~spl30_94 | ~spl30_191), 21.62/3.15 inference(avatar_split_clause,[],[f7071,f2160,f1168,f1165,f7068])). 21.62/3.15 tff(f7068,plain,( 21.62/3.15 spl30_506 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_506])])). 21.62/3.15 tff(f2160,plain,( 21.62/3.15 spl30_191 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_191])])). 21.62/3.15 tff(f7071,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_94 | ~spl30_191)), 21.62/3.15 inference(forward_demodulation,[],[f7029,f4348])). 21.62/3.15 tff(f7029,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_191)), 21.62/3.15 inference(superposition,[],[f2161,f4334])). 21.62/3.15 tff(f2161,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_191), 21.62/3.15 inference(avatar_component_clause,[],[f2160])). 21.62/3.15 tff(f7070,plain,( 21.62/3.15 spl30_506 | ~spl30_93 | ~spl30_94 | ~spl30_191), 21.62/3.15 inference(avatar_split_clause,[],[f7066,f2160,f1168,f1165,f7068])). 21.62/3.15 tff(f7066,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_94 | ~spl30_191)), 21.62/3.15 inference(forward_demodulation,[],[f7028,f4334])). 21.62/3.15 tff(f7028,plain,( 21.62/3.15 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_94 | ~spl30_191)), 21.62/3.15 inference(superposition,[],[f2161,f4348])). 21.62/3.15 tff(f7035,plain,( 21.62/3.15 spl30_505 | ~spl30_93 | ~spl30_94 | ~spl30_191), 21.62/3.15 inference(avatar_split_clause,[],[f7031,f2160,f1168,f1165,f7033])). 21.62/3.15 tff(f7033,plain,( 21.62/3.15 spl30_505 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_505])])). 21.62/3.15 tff(f7031,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_93 | ~spl30_94 | ~spl30_191)), 21.62/3.15 inference(forward_demodulation,[],[f7030,f4348])). 21.62/3.15 tff(f7030,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_93 | ~spl30_191)), 21.62/3.15 inference(forward_demodulation,[],[f7016,f4334])). 21.62/3.15 tff(f7016,plain,( 21.62/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_191), 21.62/3.15 inference(resolution,[],[f2161,f348])). 21.62/3.15 tff(f6997,plain,( 21.62/3.15 ~spl30_476 | spl30_504 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6965,f6944,f6995,f6087])). 21.62/3.15 tff(f6087,plain,( 21.62/3.15 spl30_476 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_476])])). 21.62/3.15 tff(f6995,plain,( 21.62/3.15 spl30_504 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_504])])). 21.62/3.15 tff(f6944,plain,( 21.62/3.15 spl30_497 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_497])])). 21.62/3.15 tff(f6965,plain,( 21.62/3.15 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | ~is_index1(X43) | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | ~disjoint_chunks1(X42,X44)) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f463])). 21.62/3.15 tff(f463,plain,( 21.62/3.15 ( ! [X6:$int,X0:array_int,X7:$int,X1:array_int] : (tb2t1(get2(int,t2tb2(X0),X6)) = tb2t1(get2(int,t2tb2(X0),$sum(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X1),X7))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X1),X7)))) | ~is_index1(X6) | $less(X7,0) | ~$less(X7,9) | ~disjoint_chunks1(X0,X1)) )), 21.62/3.15 inference(equality_resolution,[],[f368])). 21.62/3.15 tff(f368,plain,( 21.62/3.15 ( ! [X6:$int,X0:array_int,X7:$int,X5:$int,X1:array_int] : ($sum(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X1),X7))) != X5 | tb2t1(get2(int,t2tb2(X0),X6)) = tb2t1(get2(int,t2tb2(X0),X5)) | ~is_index1(X5) | ~is_index1(X6) | $less(X7,0) | ~$less(X7,9) | ~disjoint_chunks1(X0,X1)) )), 21.62/3.15 inference(cnf_transformation,[],[f186])). 21.62/3.15 tff(f186,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : ((disjoint_chunks1(X0,X1) | 81 != length1(int,t2tb2(X0)) | 9 != length1(int,t2tb2(X1)) | (sK17(X0,X1) = $sum(tb2t1(get2(int,t2tb2(X0),sK18(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK19(X0,X1)))) & tb2t1(get2(int,t2tb2(X0),sK18(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK17(X0,X1))) & is_index1(sK17(X0,X1)) & is_index1(sK18(X0,X1)) & ~$less(sK19(X0,X1),0) & $less(sK19(X0,X1),9))) & ((81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X5 : $int,X6 : $int,X7 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X1),X7))) != X5 | tb2t1(get2(int,t2tb2(X0),X6)) = tb2t1(get2(int,t2tb2(X0),X5)) | ~is_index1(X5) | ~is_index1(X6) | $less(X7,0) | ~$less(X7,9))) | ~disjoint_chunks1(X0,X1)))), 21.62/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f184,f185])). 21.62/3.15 tff(f185,plain,( 21.62/3.15 ! [X1 : array_int,X0 : array_int] : (? [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) = X2 & tb2t1(get2(int,t2tb2(X0),X3)) != tb2t1(get2(int,t2tb2(X0),X2)) & is_index1(X2) & is_index1(X3) & ~$less(X4,0) & $less(X4,9)) => (sK17(X0,X1) = $sum(tb2t1(get2(int,t2tb2(X0),sK18(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK19(X0,X1)))) & tb2t1(get2(int,t2tb2(X0),sK18(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK17(X0,X1))) & is_index1(sK17(X0,X1)) & is_index1(sK18(X0,X1)) & ~$less(sK19(X0,X1),0) & $less(sK19(X0,X1),9)))), 21.62/3.15 introduced(choice_axiom,[])). 21.62/3.15 tff(f184,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : ((disjoint_chunks1(X0,X1) | 81 != length1(int,t2tb2(X0)) | 9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) = X2 & tb2t1(get2(int,t2tb2(X0),X3)) != tb2t1(get2(int,t2tb2(X0),X2)) & is_index1(X2) & is_index1(X3) & ~$less(X4,0) & $less(X4,9))) & ((81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X5 : $int,X6 : $int,X7 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X1),X7))) != X5 | tb2t1(get2(int,t2tb2(X0),X6)) = tb2t1(get2(int,t2tb2(X0),X5)) | ~is_index1(X5) | ~is_index1(X6) | $less(X7,0) | ~$less(X7,9))) | ~disjoint_chunks1(X0,X1)))), 21.62/3.15 inference(rectify,[],[f183])). 21.62/3.15 tff(f183,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : ((disjoint_chunks1(X0,X1) | 81 != length1(int,t2tb2(X0)) | 9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) = X2 & tb2t1(get2(int,t2tb2(X0),X3)) != tb2t1(get2(int,t2tb2(X0),X2)) & is_index1(X2) & is_index1(X3) & ~$less(X4,0) & $less(X4,9))) & ((81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2 | tb2t1(get2(int,t2tb2(X0),X3)) = tb2t1(get2(int,t2tb2(X0),X2)) | ~is_index1(X2) | ~is_index1(X3) | $less(X4,0) | ~$less(X4,9))) | ~disjoint_chunks1(X0,X1)))), 21.62/3.15 inference(flattening,[],[f182])). 21.62/3.15 tff(f182,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : ((disjoint_chunks1(X0,X1) | (81 != length1(int,t2tb2(X0)) | 9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) = X2 & tb2t1(get2(int,t2tb2(X0),X3)) != tb2t1(get2(int,t2tb2(X0),X2)) & is_index1(X2) & is_index1(X3) & ~$less(X4,0) & $less(X4,9)))) & ((81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2 | tb2t1(get2(int,t2tb2(X0),X3)) = tb2t1(get2(int,t2tb2(X0),X2)) | ~is_index1(X2) | ~is_index1(X3) | $less(X4,0) | ~$less(X4,9))) | ~disjoint_chunks1(X0,X1)))), 21.62/3.15 inference(nnf_transformation,[],[f139])). 21.62/3.15 tff(f139,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : (disjoint_chunks1(X0,X1) <=> (81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int,X4 : $int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2 | tb2t1(get2(int,t2tb2(X0),X3)) = tb2t1(get2(int,t2tb2(X0),X2)) | ~is_index1(X2) | ~is_index1(X3) | $less(X4,0) | ~$less(X4,9))))), 21.62/3.15 inference(flattening,[],[f138])). 21.62/3.15 tff(f138,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : (disjoint_chunks1(X0,X1) <=> (81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int,X4 : $int] : (($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2 | tb2t1(get2(int,t2tb2(X0),X3)) = tb2t1(get2(int,t2tb2(X0),X2))) | (~is_index1(X2) | ~is_index1(X3) | $less(X4,0) | ~$less(X4,9)))))), 21.62/3.15 inference(ennf_transformation,[],[f94])). 21.62/3.15 tff(f94,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : (disjoint_chunks1(X0,X1) <=> (81 = length1(int,t2tb2(X0)) & 9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int,X4 : $int] : ((is_index1(X2) & is_index1(X3) & ~$less(X4,0) & $less(X4,9)) => (tb2t1(get2(int,t2tb2(X0),X3)) != tb2t1(get2(int,t2tb2(X0),X2)) => $sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2))))), 21.62/3.15 inference(rectify,[],[f67])). 21.62/3.15 tff(f67,plain,( 21.62/3.15 ! [X12 : array_int,X13 : array_int] : (disjoint_chunks1(X12,X13) <=> (length1(int,t2tb2(X12)) = 81 & 9 = length1(int,t2tb2(X13)) & ! [X32 : $int,X33 : $int,X20 : $int] : ((is_index1(X32) & is_index1(X33) & ~$less(X20,0) & $less(X20,9)) => (tb2t1(get2(int,t2tb2(X12),X33)) != tb2t1(get2(int,t2tb2(X12),X32)) => $sum(tb2t1(get2(int,t2tb2(X12),X33)),tb2t1(get2(int,t2tb2(X13),X20))) != X32))))), 21.62/3.15 inference(theory_normalization,[],[f36])). 21.62/3.15 tff(f36,axiom,( 21.62/3.15 ! [X12 : array_int,X13 : array_int] : (disjoint_chunks1(X12,X13) <=> (length1(int,t2tb2(X12)) = 81 & 9 = length1(int,t2tb2(X13)) & ! [X32 : $int,X33 : $int,X20 : $int] : ((is_index1(X32) & is_index1(X33) & $lesseq(0,X20) & $less(X20,9)) => (tb2t1(get2(int,t2tb2(X12),X33)) != tb2t1(get2(int,t2tb2(X12),X32)) => $sum(tb2t1(get2(int,t2tb2(X12),X33)),tb2t1(get2(int,t2tb2(X13),X20))) != X32))))), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_chunks_def)). 21.62/3.15 tff(f6951,plain,( 21.62/3.15 ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | spl30_497), 21.62/3.15 inference(avatar_component_clause,[],[f6944])). 21.62/3.15 tff(f6993,plain,( 21.62/3.15 ~spl30_476 | spl30_503 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6962,f6944,f6990,f6087])). 21.62/3.15 tff(f6990,plain,( 21.62/3.15 spl30_503 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_503])])). 21.62/3.15 tff(f6962,plain,( 21.62/3.15 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) = X29 | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f442])). 21.62/3.15 tff(f442,plain,( 21.62/3.15 ( ! [X4:$int,X2:array_int,X0:map_int_int,X5:$int,X3:array_int,X1:$int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0) | ~valid_chunk1(X0,X1,X2,X3)) )), 21.62/3.15 inference(cnf_transformation,[],[f216])). 21.62/3.15 tff(f216,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3)))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1) & $less(sK26(X0,X1,X2,X3),9) & sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3) & $less(sK27(X0,X1,X2,X3),9) & ~$less(sK27(X0,X1,X2,X3),0) & ~$less(sK26(X0,X1,X2,X3),0))))), 21.62/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f214,f215])). 21.62/3.15 tff(f215,plain,( 21.62/3.15 ! [X3 : array_int,X2 : array_int,X1 : $int,X0 : map_int_int] : (? [X6 : $int,X7 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & $less(X6,9) & X6 != X7 & $less(X7,9) & ~$less(X7,0) & ~$less(X6,0)) => (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3)))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1) & $less(sK26(X0,X1,X2,X3),9) & sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3) & $less(sK27(X0,X1,X2,X3),9) & ~$less(sK27(X0,X1,X2,X3),0) & ~$less(sK26(X0,X1,X2,X3),0)))), 21.62/3.15 introduced(choice_axiom,[])). 21.62/3.15 tff(f214,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | ? [X6 : $int,X7 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & $less(X6,9) & X6 != X7 & $less(X7,9) & ~$less(X7,0) & ~$less(X6,0))))), 21.62/3.15 inference(rectify,[],[f213])). 21.62/3.15 tff(f213,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : ((! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0)) | ~valid_chunk1(X0,X1,X2,X3)) & (valid_chunk1(X0,X1,X2,X3) | ? [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) & $less(X4,9) & X4 != X5 & $less(X5,9) & ~$less(X5,0) & ~$less(X4,0))))), 21.62/3.15 inference(nnf_transformation,[],[f160])). 21.62/3.15 tff(f160,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0)) <=> valid_chunk1(X0,X1,X2,X3))), 21.62/3.15 inference(flattening,[],[f159])). 21.62/3.15 tff(f159,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : ((tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) | ($less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1))) | (~$less(X4,9) | X4 = X5 | ~$less(X5,9) | $less(X5,0) | $less(X4,0))) <=> valid_chunk1(X0,X1,X2,X3))), 21.62/3.15 inference(ennf_transformation,[],[f121])). 21.62/3.15 tff(f121,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : (($less(X4,9) & X4 != X5 & $less(X5,9) & ~$less(X5,0) & ~$less(X4,0)) => ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1)) => tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))))) <=> valid_chunk1(X0,X1,X2,X3))), 21.62/3.15 inference(rectify,[],[f74])). 21.62/3.15 tff(f74,plain,( 21.62/3.15 ! [X4 : map_int_int,X5 : $int,X12 : array_int,X13 : array_int] : (! [X14 : $int,X15 : $int] : (($less(X14,9) & X14 != X15 & $less(X15,9) & ~$less(X15,0) & ~$less(X14,0)) => ((~$less(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14))))))) & ~$less(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))),1)) => tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))) != tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))))) <=> valid_chunk1(X4,X5,X12,X13))), 21.62/3.15 inference(theory_normalization,[],[f5])). 21.62/3.15 tff(f5,axiom,( 21.62/3.15 ! [X4 : map_int_int,X5 : $int,X12 : array_int,X13 : array_int] : (! [X14 : $int,X15 : $int] : (($less(X14,9) & X14 != X15 & $less(X15,9) & $lesseq(0,X15) & $lesseq(0,X14)) => (($lesseq(1,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15))))))) & $lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))),9) & $lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))))) => tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))) != tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))))) <=> valid_chunk1(X4,X5,X12,X13))), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_chunk_def)). 21.62/3.15 tff(f6992,plain,( 21.62/3.15 ~spl30_476 | spl30_503 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6961,f6944,f6990,f6087])). 21.62/3.15 tff(f6961,plain,( 21.62/3.15 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f442])). 21.62/3.15 tff(f6988,plain,( 21.62/3.15 spl30_500 | spl30_502 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6960,f6944,f6986,f6979])). 21.62/3.15 tff(f6979,plain,( 21.62/3.15 spl30_500 <=> $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_500])])). 21.62/3.15 tff(f6986,plain,( 21.62/3.15 spl30_502 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_502])])). 21.62/3.15 tff(f6960,plain,( 21.62/3.15 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f427])). 21.62/3.15 tff(f427,plain,( 21.62/3.15 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (grid_eq_sub1(X0,X1,X2,X3) | $less(81,X3) | ~grid_eq_sub1(X0,X1,0,81) | $less(X3,0) | $less(81,X2) | $less(X2,0)) )), 21.62/3.15 inference(cnf_transformation,[],[f156])). 21.62/3.15 tff(f156,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (grid_eq_sub1(X0,X1,X2,X3) | $less(81,X3) | ~grid_eq_sub1(X0,X1,0,81) | $less(X3,0) | $less(81,X2) | $less(X2,0))), 21.62/3.15 inference(flattening,[],[f155])). 21.62/3.15 tff(f155,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (grid_eq_sub1(X0,X1,X2,X3) | ($less(81,X3) | ~grid_eq_sub1(X0,X1,0,81) | $less(X3,0) | $less(81,X2) | $less(X2,0)))), 21.62/3.15 inference(ennf_transformation,[],[f119])). 21.62/3.15 tff(f119,plain,( 21.62/3.15 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((~$less(81,X3) & grid_eq_sub1(X0,X1,0,81) & ~$less(X3,0) & ~$less(81,X2) & ~$less(X2,0)) => grid_eq_sub1(X0,X1,X2,X3))), 21.62/3.15 inference(rectify,[],[f72])). 21.62/3.15 tff(f72,plain,( 21.62/3.15 ! [X27 : map_int_int,X28 : map_int_int,X16 : $int,X23 : $int] : ((~$less(81,X23) & grid_eq_sub1(X27,X28,0,81) & ~$less(X23,0) & ~$less(81,X16) & ~$less(X16,0)) => grid_eq_sub1(X27,X28,X16,X23))), 21.62/3.15 inference(theory_normalization,[],[f54])). 21.62/3.15 tff(f54,axiom,( 21.62/3.15 ! [X27 : map_int_int,X28 : map_int_int,X16 : $int,X23 : $int] : (($lesseq(X23,81) & grid_eq_sub1(X27,X28,0,81) & $lesseq(0,X23) & $lesseq(X16,81) & $lesseq(0,X16)) => grid_eq_sub1(X27,X28,X16,X23))), 21.62/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',grid_eq_sub)). 21.62/3.15 tff(f6984,plain,( 21.62/3.15 spl30_500 | spl30_501 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6959,f6944,f6982,f6979])). 21.62/3.15 tff(f6982,plain,( 21.62/3.15 spl30_501 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_501])])). 21.62/3.15 tff(f6959,plain,( 21.62/3.15 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f427])). 21.62/3.15 tff(f6977,plain,( 21.62/3.15 ~spl30_476 | spl30_499 | spl30_497), 21.62/3.15 inference(avatar_split_clause,[],[f6954,f6944,f6975,f6087])). 21.62/3.15 tff(f6975,plain,( 21.62/3.15 spl30_499 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 21.62/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_499])])). 21.62/3.15 tff(f6954,plain,( 21.62/3.15 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | ~is_index1(X1) | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_497), 21.62/3.15 inference(resolution,[],[f6951,f378])). 21.62/3.15 tff(f378,plain,( 21.62/3.15 ( ! [X4:$int,X0:array_int,X5:$int,X1:array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X1),X5)))) | ~is_index1(X4) | $less(X5,0) | ~$less(X5,9) | ~chunk_valid_indexes1(X0,X1)) )), 21.62/3.15 inference(cnf_transformation,[],[f191])). 21.62/3.15 tff(f191,plain,( 21.62/3.15 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1))))) & is_index1(sK20(X0,X1)) & ~$less(sK21(X0,X1),0) & $less(sK21(X0,X1),9)) | 81 != length1(int,t2tb2(X0))) & ((9 = length1(int,t2tb2(X1)) & ! [X4 : $int,X5 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X1),X5)))) | ~is_index1(X4) | $less(X5,0) | ~$less(X5,9)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 21.62/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f189,f190])). 22.39/3.15 tff(f190,plain,( 22.39/3.15 ! [X1 : array_int,X0 : array_int] : (? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & ~$less(X3,0) & $less(X3,9)) => (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1))))) & is_index1(sK20(X0,X1)) & ~$less(sK21(X0,X1),0) & $less(sK21(X0,X1),9)))), 22.39/3.15 introduced(choice_axiom,[])). 22.39/3.15 tff(f189,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & ~$less(X3,0) & $less(X3,9)) | 81 != length1(int,t2tb2(X0))) & ((9 = length1(int,t2tb2(X1)) & ! [X4 : $int,X5 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X1),X5)))) | ~is_index1(X4) | $less(X5,0) | ~$less(X5,9)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.39/3.15 inference(rectify,[],[f188])). 22.39/3.15 tff(f188,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & ~$less(X3,0) & $less(X3,9)) | 81 != length1(int,t2tb2(X0))) & ((9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | $less(X3,0) | ~$less(X3,9)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.39/3.15 inference(flattening,[],[f187])). 22.39/3.15 tff(f187,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | (9 != length1(int,t2tb2(X1)) | ? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & ~$less(X3,0) & $less(X3,9)) | 81 != length1(int,t2tb2(X0)))) & ((9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | $less(X3,0) | ~$less(X3,9)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.39/3.15 inference(nnf_transformation,[],[f141])). 22.39/3.15 tff(f141,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | $less(X3,0) | ~$less(X3,9)) & 81 = length1(int,t2tb2(X0))))), 22.39/3.15 inference(flattening,[],[f140])). 22.39/3.15 tff(f140,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | (~is_index1(X2) | $less(X3,0) | ~$less(X3,9))) & 81 = length1(int,t2tb2(X0))))), 22.39/3.15 inference(ennf_transformation,[],[f95])). 22.39/3.15 tff(f95,plain,( 22.39/3.15 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (9 = length1(int,t2tb2(X1)) & ! [X2 : $int,X3 : $int] : ((is_index1(X2) & ~$less(X3,0) & $less(X3,9)) => is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3))))) & 81 = length1(int,t2tb2(X0))))), 22.39/3.15 inference(rectify,[],[f68])). 22.39/3.15 tff(f68,plain,( 22.39/3.15 ! [X12 : array_int,X13 : array_int] : (chunk_valid_indexes1(X12,X13) <=> (9 = length1(int,t2tb2(X13)) & ! [X5 : $int,X20 : $int] : ((is_index1(X5) & ~$less(X20,0) & $less(X20,9)) => is_index1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X20))))) & length1(int,t2tb2(X12)) = 81))), 22.39/3.15 inference(theory_normalization,[],[f12])). 22.39/3.15 tff(f12,axiom,( 22.39/3.15 ! [X12 : array_int,X13 : array_int] : (chunk_valid_indexes1(X12,X13) <=> (9 = length1(int,t2tb2(X13)) & ! [X5 : $int,X20 : $int] : ((is_index1(X5) & $lesseq(0,X20) & $less(X20,9)) => is_index1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X20))))) & length1(int,t2tb2(X12)) = 81))), 22.39/3.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',chunk_valid_indexes_def)). 22.39/3.15 tff(f6972,plain,( 22.39/3.15 ~spl30_498 | spl30_496 | spl30_497), 22.39/3.15 inference(avatar_split_clause,[],[f6953,f6944,f6935,f6969])). 22.39/3.15 tff(f6969,plain,( 22.39/3.15 spl30_498 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_498])])). 22.39/3.15 tff(f6935,plain,( 22.39/3.15 spl30_496 <=> is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_496])])). 22.39/3.15 tff(f6953,plain,( 22.39/3.15 is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | spl30_497), 22.39/3.15 inference(resolution,[],[f6951,f349])). 22.39/3.15 tff(f349,plain,( 22.39/3.15 ( ! [X0:$int] : (is_index1(X0) | ~$less(X0,81) | $less(X0,0)) )), 22.39/3.15 inference(cnf_transformation,[],[f171])). 22.39/3.15 tff(f6952,plain,( 22.39/3.15 ~spl30_497 | ~spl30_93 | ~spl30_94 | spl30_95), 22.39/3.15 inference(avatar_split_clause,[],[f6950,f1176,f1168,f1165,f6944])). 22.39/3.15 tff(f1176,plain,( 22.39/3.15 spl30_95 <=> $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 22.39/3.15 tff(f6950,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_94 | spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f6949,f4348])). 22.39/3.15 tff(f6949,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f1177,f4334])). 22.39/3.15 tff(f1177,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_95), 22.39/3.15 inference(avatar_component_clause,[],[f1176])). 22.39/3.15 tff(f6948,plain,( 22.39/3.15 spl30_497 | ~spl30_93 | ~spl30_94 | ~spl30_95), 22.39/3.15 inference(avatar_split_clause,[],[f6947,f1176,f1168,f1165,f6944])). 22.39/3.15 tff(f6947,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_94 | ~spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f6931,f4348])). 22.39/3.15 tff(f6931,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_95)), 22.39/3.15 inference(superposition,[],[f2089,f4334])). 22.39/3.15 tff(f2089,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_95), 22.39/3.15 inference(avatar_component_clause,[],[f1176])). 22.39/3.15 tff(f6946,plain,( 22.39/3.15 spl30_497 | ~spl30_93 | ~spl30_94 | ~spl30_95), 22.39/3.15 inference(avatar_split_clause,[],[f6942,f1176,f1168,f1165,f6944])). 22.39/3.15 tff(f6942,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_94 | ~spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f6930,f4334])). 22.39/3.15 tff(f6930,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_94 | ~spl30_95)), 22.39/3.15 inference(superposition,[],[f2089,f4348])). 22.39/3.15 tff(f6937,plain,( 22.39/3.15 ~spl30_496 | ~spl30_93 | ~spl30_94 | ~spl30_95), 22.39/3.15 inference(avatar_split_clause,[],[f6933,f1176,f1168,f1165,f6935])). 22.39/3.15 tff(f6933,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_94 | ~spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f6932,f4348])). 22.39/3.15 tff(f6932,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_93 | ~spl30_95)), 22.39/3.15 inference(forward_demodulation,[],[f6923,f4334])). 22.39/3.15 tff(f6923,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_95), 22.39/3.15 inference(resolution,[],[f2089,f347])). 22.39/3.15 tff(f347,plain,( 22.39/3.15 ( ! [X0:$int] : (~$less(X0,0) | ~is_index1(X0)) )), 22.39/3.15 inference(cnf_transformation,[],[f171])). 22.39/3.15 tff(f6907,plain,( 22.39/3.15 spl30_493 | spl30_495 | spl30_491), 22.39/3.15 inference(avatar_split_clause,[],[f6884,f6839,f6905,f6898])). 22.39/3.15 tff(f6898,plain,( 22.39/3.15 spl30_493 <=> $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_493])])). 22.39/3.15 tff(f6905,plain,( 22.39/3.15 spl30_495 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_495])])). 22.39/3.15 tff(f6839,plain,( 22.39/3.15 spl30_491 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_491])])). 22.39/3.15 tff(f6884,plain,( 22.39/3.15 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))) ) | spl30_491), 22.39/3.15 inference(resolution,[],[f6874,f427])). 22.39/3.15 tff(f6874,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | spl30_491), 22.39/3.15 inference(avatar_component_clause,[],[f6839])). 22.39/3.15 tff(f6903,plain,( 22.39/3.15 spl30_493 | spl30_494 | spl30_491), 22.39/3.15 inference(avatar_split_clause,[],[f6883,f6839,f6901,f6898])). 22.39/3.15 tff(f6901,plain,( 22.39/3.15 spl30_494 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_494])])). 22.39/3.15 tff(f6883,plain,( 22.39/3.15 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | $less(81,sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_491), 22.39/3.15 inference(resolution,[],[f6874,f427])). 22.39/3.15 tff(f6896,plain,( 22.39/3.15 ~spl30_492 | spl30_490 | spl30_491), 22.39/3.15 inference(avatar_split_clause,[],[f6877,f6839,f6830,f6893])). 22.39/3.15 tff(f6893,plain,( 22.39/3.15 spl30_492 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_492])])). 22.39/3.15 tff(f6830,plain,( 22.39/3.15 spl30_490 <=> is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_490])])). 22.39/3.15 tff(f6877,plain,( 22.39/3.15 is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | spl30_491), 22.39/3.15 inference(resolution,[],[f6874,f349])). 22.39/3.15 tff(f6875,plain,( 22.39/3.15 ~spl30_491 | ~spl30_87 | ~spl30_88 | spl30_89), 22.39/3.15 inference(avatar_split_clause,[],[f6873,f1132,f1124,f1121,f6839])). 22.39/3.15 tff(f1132,plain,( 22.39/3.15 spl30_89 <=> $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 22.39/3.15 tff(f6873,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_88 | spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f6872,f4044])). 22.39/3.15 tff(f6872,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f1133,f4057])). 22.39/3.15 tff(f1133,plain,( 22.39/3.15 ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_89), 22.39/3.15 inference(avatar_component_clause,[],[f1132])). 22.39/3.15 tff(f6843,plain,( 22.39/3.15 spl30_491 | ~spl30_87 | ~spl30_88 | ~spl30_89), 22.39/3.15 inference(avatar_split_clause,[],[f6842,f1132,f1124,f1121,f6839])). 22.39/3.15 tff(f6842,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_88 | ~spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f6826,f4044])). 22.39/3.15 tff(f6826,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_89)), 22.39/3.15 inference(superposition,[],[f2048,f4057])). 22.39/3.15 tff(f2048,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_89), 22.39/3.15 inference(avatar_component_clause,[],[f1132])). 22.39/3.15 tff(f6841,plain,( 22.39/3.15 spl30_491 | ~spl30_87 | ~spl30_88 | ~spl30_89), 22.39/3.15 inference(avatar_split_clause,[],[f6837,f1132,f1124,f1121,f6839])). 22.39/3.15 tff(f6837,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_88 | ~spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f6825,f4057])). 22.39/3.15 tff(f6825,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_88 | ~spl30_89)), 22.39/3.15 inference(superposition,[],[f2048,f4044])). 22.39/3.15 tff(f6832,plain,( 22.39/3.15 ~spl30_490 | ~spl30_87 | ~spl30_88 | ~spl30_89), 22.39/3.15 inference(avatar_split_clause,[],[f6828,f1132,f1124,f1121,f6830])). 22.39/3.15 tff(f6828,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_88 | ~spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f6827,f4044])). 22.39/3.15 tff(f6827,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_87 | ~spl30_89)), 22.39/3.15 inference(forward_demodulation,[],[f6818,f4057])). 22.39/3.15 tff(f6818,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_89), 22.39/3.15 inference(resolution,[],[f2048,f347])). 22.39/3.15 tff(f6816,plain,( 22.39/3.15 spl30_489 | ~spl30_81 | ~spl30_82 | ~spl30_83), 22.39/3.15 inference(avatar_split_clause,[],[f6815,f1088,f1080,f1077,f6812])). 22.39/3.15 tff(f6812,plain,( 22.39/3.15 spl30_489 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_489])])). 22.39/3.15 tff(f1088,plain,( 22.39/3.15 spl30_83 <=> $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_83])])). 22.39/3.15 tff(f6815,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | ~spl30_83)), 22.39/3.15 inference(forward_demodulation,[],[f6799,f4321])). 22.39/3.15 tff(f6799,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_83)), 22.39/3.15 inference(superposition,[],[f2007,f4307])). 22.39/3.15 tff(f2007,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_83), 22.39/3.15 inference(avatar_component_clause,[],[f1088])). 22.39/3.15 tff(f6814,plain,( 22.39/3.15 spl30_489 | ~spl30_81 | ~spl30_82 | ~spl30_83), 22.39/3.15 inference(avatar_split_clause,[],[f6810,f1088,f1080,f1077,f6812])). 22.39/3.15 tff(f6810,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | ~spl30_83)), 22.39/3.15 inference(forward_demodulation,[],[f6798,f4307])). 22.39/3.15 tff(f6798,plain,( 22.39/3.15 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_82 | ~spl30_83)), 22.39/3.15 inference(superposition,[],[f2007,f4321])). 22.39/3.15 tff(f6805,plain,( 22.39/3.15 ~spl30_488 | ~spl30_81 | ~spl30_82 | ~spl30_83), 22.39/3.15 inference(avatar_split_clause,[],[f6801,f1088,f1080,f1077,f6803])). 22.39/3.15 tff(f6803,plain,( 22.39/3.15 spl30_488 <=> is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_488])])). 22.39/3.15 tff(f6801,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_83)), 22.39/3.15 inference(forward_demodulation,[],[f6800,f4321])). 22.39/3.15 tff(f6800,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_83)), 22.39/3.15 inference(forward_demodulation,[],[f6791,f4307])). 22.39/3.15 tff(f6791,plain,( 22.39/3.15 ~is_index1(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_83), 22.39/3.15 inference(resolution,[],[f2007,f347])). 22.39/3.15 tff(f6154,plain,( 22.39/3.15 spl30_487 | ~spl30_6 | ~spl30_93 | ~spl30_94), 22.39/3.15 inference(avatar_split_clause,[],[f6150,f1168,f1165,f592,f6152])). 22.39/3.15 tff(f592,plain,( 22.39/3.15 spl30_6 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 22.39/3.15 tff(f6150,plain,( 22.39/3.15 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_6 | ~spl30_93 | ~spl30_94)), 22.39/3.15 inference(forward_demodulation,[],[f6038,f4348])). 22.39/3.15 tff(f6038,plain,( 22.39/3.15 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_6 | ~spl30_93)), 22.39/3.15 inference(superposition,[],[f1446,f4334])). 22.39/3.15 tff(f1446,plain,( 22.39/3.15 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_6), 22.39/3.15 inference(avatar_component_clause,[],[f592])). 22.39/3.15 tff(f6149,plain,( 22.39/3.15 spl30_486 | ~spl30_93 | ~spl30_94 | ~spl30_129), 22.39/3.15 inference(avatar_split_clause,[],[f6145,f1435,f1168,f1165,f6147])). 22.39/3.15 tff(f6147,plain,( 22.39/3.15 spl30_486 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_486])])). 22.39/3.15 tff(f1435,plain,( 22.39/3.15 spl30_129 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 22.39/3.15 tff(f6145,plain,( 22.39/3.15 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_93 | ~spl30_94 | ~spl30_129)), 22.39/3.15 inference(forward_demodulation,[],[f6037,f4348])). 22.39/3.15 tff(f6037,plain,( 22.39/3.15 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_93 | ~spl30_129)), 22.39/3.15 inference(superposition,[],[f1436,f4334])). 22.39/3.15 tff(f1436,plain,( 22.39/3.15 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_129), 22.39/3.15 inference(avatar_component_clause,[],[f1435])). 22.39/3.15 tff(f6134,plain,( 22.39/3.15 spl30_485 | ~spl30_93 | ~spl30_94 | ~spl30_107), 22.39/3.15 inference(avatar_split_clause,[],[f6130,f1255,f1168,f1165,f6132])). 22.39/3.15 tff(f6132,plain,( 22.39/3.15 spl30_485 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_485])])). 22.39/3.15 tff(f1255,plain,( 22.39/3.15 spl30_107 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 22.39/3.15 tff(f6130,plain,( 22.39/3.15 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | (~spl30_93 | ~spl30_94 | ~spl30_107)), 22.39/3.15 inference(forward_demodulation,[],[f6035,f4348])). 22.39/3.15 tff(f6035,plain,( 22.39/3.15 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | (~spl30_93 | ~spl30_107)), 22.39/3.15 inference(superposition,[],[f1256,f4334])). 22.39/3.15 tff(f1256,plain,( 22.39/3.15 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~spl30_107), 22.39/3.15 inference(avatar_component_clause,[],[f1255])). 22.39/3.15 tff(f6129,plain,( 22.39/3.15 ~spl30_484 | ~spl30_93 | ~spl30_94 | spl30_104), 22.39/3.15 inference(avatar_split_clause,[],[f6125,f1237,f1168,f1165,f6127])). 22.39/3.15 tff(f6127,plain,( 22.39/3.15 spl30_484 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_484])])). 22.39/3.15 tff(f1237,plain,( 22.39/3.15 spl30_104 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 22.39/3.15 tff(f6125,plain,( 22.39/3.15 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | (~spl30_93 | ~spl30_94 | spl30_104)), 22.39/3.15 inference(forward_demodulation,[],[f6034,f4348])). 22.39/3.15 tff(f6034,plain,( 22.39/3.15 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | (~spl30_93 | spl30_104)), 22.39/3.15 inference(superposition,[],[f1238,f4334])). 22.39/3.15 tff(f1238,plain,( 22.39/3.15 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_104), 22.39/3.15 inference(avatar_component_clause,[],[f1237])). 22.39/3.15 tff(f6124,plain,( 22.39/3.15 ~spl30_483 | ~spl30_93 | ~spl30_94 | spl30_103), 22.39/3.15 inference(avatar_split_clause,[],[f6120,f1231,f1168,f1165,f6122])). 22.39/3.15 tff(f6122,plain,( 22.39/3.15 spl30_483 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_483])])). 22.39/3.15 tff(f1231,plain,( 22.39/3.15 spl30_103 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_103])])). 22.39/3.15 tff(f6120,plain,( 22.39/3.15 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | (~spl30_93 | ~spl30_94 | spl30_103)), 22.39/3.15 inference(forward_demodulation,[],[f6033,f4348])). 22.39/3.15 tff(f6033,plain,( 22.39/3.15 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | (~spl30_93 | spl30_103)), 22.39/3.15 inference(superposition,[],[f1232,f4334])). 22.39/3.15 tff(f1232,plain,( 22.39/3.15 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_103), 22.39/3.15 inference(avatar_component_clause,[],[f1231])). 22.39/3.15 tff(f6119,plain,( 22.39/3.15 spl30_482 | ~spl30_93 | ~spl30_94 | ~spl30_102), 22.39/3.15 inference(avatar_split_clause,[],[f6115,f1225,f1168,f1165,f6117])). 22.39/3.15 tff(f6117,plain,( 22.39/3.15 spl30_482 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_482])])). 22.39/3.15 tff(f1225,plain,( 22.39/3.15 spl30_102 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 22.39/3.15 tff(f6115,plain,( 22.39/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_93 | ~spl30_94 | ~spl30_102)), 22.39/3.15 inference(forward_demodulation,[],[f6032,f4348])). 22.39/3.15 tff(f6032,plain,( 22.39/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_93 | ~spl30_102)), 22.39/3.15 inference(superposition,[],[f1226,f4334])). 22.39/3.15 tff(f1226,plain,( 22.39/3.15 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_102), 22.39/3.15 inference(avatar_component_clause,[],[f1225])). 22.39/3.15 tff(f6114,plain,( 22.39/3.15 ~spl30_481 | ~spl30_93 | ~spl30_94 | spl30_101), 22.39/3.15 inference(avatar_split_clause,[],[f6110,f1221,f1168,f1165,f6112])). 22.39/3.15 tff(f6112,plain,( 22.39/3.15 spl30_481 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_481])])). 22.39/3.15 tff(f1221,plain,( 22.39/3.15 spl30_101 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_101])])). 22.39/3.15 tff(f6110,plain,( 22.39/3.15 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_93 | ~spl30_94 | spl30_101)), 22.39/3.15 inference(forward_demodulation,[],[f6031,f4348])). 22.39/3.15 tff(f6031,plain,( 22.39/3.15 sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_93 | spl30_101)), 22.39/3.15 inference(superposition,[],[f1222,f4334])). 22.39/3.15 tff(f1222,plain,( 22.39/3.15 sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_101), 22.39/3.15 inference(avatar_component_clause,[],[f1221])). 22.39/3.15 tff(f6109,plain,( 22.39/3.15 spl30_480 | ~spl30_93 | ~spl30_94 | ~spl30_100), 22.39/3.15 inference(avatar_split_clause,[],[f6105,f1217,f1168,f1165,f6107])). 22.39/3.15 tff(f6107,plain,( 22.39/3.15 spl30_480 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_480])])). 22.39/3.15 tff(f1217,plain,( 22.39/3.15 spl30_100 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 22.39/3.15 tff(f6105,plain,( 22.39/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_93 | ~spl30_94 | ~spl30_100)), 22.39/3.15 inference(forward_demodulation,[],[f6030,f4348])). 22.39/3.15 tff(f6030,plain,( 22.39/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_93 | ~spl30_100)), 22.39/3.15 inference(superposition,[],[f1218,f4334])). 22.39/3.15 tff(f1218,plain,( 22.39/3.15 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_100), 22.39/3.15 inference(avatar_component_clause,[],[f1217])). 22.39/3.15 tff(f6104,plain,( 22.39/3.15 ~spl30_479 | ~spl30_93 | ~spl30_94 | spl30_99), 22.39/3.15 inference(avatar_split_clause,[],[f6100,f1213,f1168,f1165,f6102])). 22.39/3.15 tff(f6102,plain,( 22.39/3.15 spl30_479 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_479])])). 22.39/3.15 tff(f1213,plain,( 22.39/3.15 spl30_99 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_99])])). 22.39/3.15 tff(f6100,plain,( 22.39/3.15 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_94 | spl30_99)), 22.39/3.15 inference(forward_demodulation,[],[f6029,f4348])). 22.39/3.15 tff(f6029,plain,( 22.39/3.15 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | spl30_99)), 22.39/3.15 inference(superposition,[],[f1214,f4334])). 22.39/3.15 tff(f1214,plain,( 22.39/3.15 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_99), 22.39/3.15 inference(avatar_component_clause,[],[f1213])). 22.39/3.15 tff(f6099,plain,( 22.39/3.15 ~spl30_478 | ~spl30_93 | ~spl30_94 | spl30_98), 22.39/3.15 inference(avatar_split_clause,[],[f6095,f1209,f1168,f1165,f6097])). 22.39/3.15 tff(f6097,plain,( 22.39/3.15 spl30_478 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_478])])). 22.39/3.15 tff(f1209,plain,( 22.39/3.15 spl30_98 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 22.39/3.15 tff(f6095,plain,( 22.39/3.15 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | ~spl30_94 | spl30_98)), 22.39/3.15 inference(forward_demodulation,[],[f6028,f4348])). 22.39/3.15 tff(f6028,plain,( 22.39/3.15 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_93 | spl30_98)), 22.39/3.15 inference(superposition,[],[f1210,f4334])). 22.39/3.15 tff(f1210,plain,( 22.39/3.15 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_98), 22.39/3.15 inference(avatar_component_clause,[],[f1209])). 22.39/3.15 tff(f6094,plain,( 22.39/3.15 ~spl30_477 | ~spl30_93 | ~spl30_94 | spl30_97), 22.39/3.15 inference(avatar_split_clause,[],[f6090,f1194,f1168,f1165,f6092])). 22.39/3.15 tff(f6092,plain,( 22.39/3.15 spl30_477 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK20(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_477])])). 22.39/3.15 tff(f1194,plain,( 22.39/3.15 spl30_97 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.39/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_97])])). 22.39/3.15 tff(f6090,plain,( 22.39/3.15 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK20(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | (~spl30_93 | ~spl30_94 | spl30_97)), 22.39/3.15 inference(forward_demodulation,[],[f6027,f4348])). 22.39/3.15 tff(f6027,plain,( 22.39/3.15 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | (~spl30_93 | spl30_97)), 22.39/3.15 inference(superposition,[],[f1195,f4334])). 22.39/3.15 tff(f1195,plain,( 22.39/3.15 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | spl30_97), 22.39/3.15 inference(avatar_component_clause,[],[f1194])). 22.39/3.17 tff(f6089,plain,( 22.39/3.17 spl30_476 | ~spl30_92 | ~spl30_93 | ~spl30_94), 22.39/3.17 inference(avatar_split_clause,[],[f6085,f1168,f1165,f1162,f6087])). 22.39/3.17 tff(f1162,plain,( 22.39/3.17 spl30_92 <=> $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 22.39/3.17 tff(f6085,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_92 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f6026,f4348])). 22.39/3.17 tff(f6026,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_92 | ~spl30_93)), 22.39/3.17 inference(superposition,[],[f1163,f4334])). 22.39/3.17 tff(f1163,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_92), 22.39/3.17 inference(avatar_component_clause,[],[f1162])). 22.39/3.17 tff(f6074,plain,( 22.39/3.17 ~spl30_475 | spl30_12 | ~spl30_93 | ~spl30_94), 22.39/3.17 inference(avatar_split_clause,[],[f6070,f1168,f1165,f614,f6072])). 22.39/3.17 tff(f6070,plain,( 22.39/3.17 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (spl30_12 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f6018,f4348])). 22.39/3.17 tff(f6018,plain,( 22.39/3.17 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (spl30_12 | ~spl30_93)), 22.39/3.17 inference(superposition,[],[f617,f4334])). 22.39/3.17 tff(f5433,plain,( 22.39/3.17 ~spl30_459 | spl30_460 | ~spl30_461), 22.39/3.17 inference(avatar_split_clause,[],[f5432,f5269,f5264,f5259])). 22.39/3.17 tff(f5259,plain,( 22.39/3.17 spl30_459 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_459])])). 22.39/3.17 tff(f5264,plain,( 22.39/3.17 spl30_460 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_460])])). 22.39/3.17 tff(f5269,plain,( 22.39/3.17 spl30_461 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_461])])). 22.39/3.17 tff(f5432,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (spl30_460 | ~spl30_461)), 22.39/3.17 inference(forward_demodulation,[],[f5265,f5270])). 22.39/3.17 tff(f5270,plain,( 22.39/3.17 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) | ~spl30_461), 22.39/3.17 inference(avatar_component_clause,[],[f5269])). 22.39/3.17 tff(f5265,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | spl30_460), 22.39/3.17 inference(avatar_component_clause,[],[f5264])). 22.39/3.17 tff(f5415,plain,( 22.39/3.17 ~spl30_474 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160), 22.39/3.17 inference(avatar_split_clause,[],[f5411,f1604,f1168,f1165,f1124,f1121,f1080,f1077,f5413])). 22.39/3.17 tff(f5413,plain,( 22.39/3.17 spl30_474 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_474])])). 22.39/3.17 tff(f1604,plain,( 22.39/3.17 spl30_160 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_160])])). 22.39/3.17 tff(f5411,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.39/3.17 inference(forward_demodulation,[],[f5410,f4321])). 22.39/3.17 tff(f5410,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.39/3.17 inference(forward_demodulation,[],[f5409,f4348])). 22.39/3.17 tff(f5409,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_160)), 22.39/3.17 inference(forward_demodulation,[],[f5408,f4334])). 22.39/3.17 tff(f5408,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_160)), 22.39/3.17 inference(forward_demodulation,[],[f5407,f4044])). 22.39/3.17 tff(f5407,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | spl30_160)), 22.39/3.17 inference(forward_demodulation,[],[f5175,f4057])). 22.39/3.17 tff(f5175,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | spl30_160)), 22.39/3.17 inference(superposition,[],[f1605,f4307])). 22.39/3.17 tff(f1605,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_160), 22.39/3.17 inference(avatar_component_clause,[],[f1604])). 22.39/3.17 tff(f5406,plain,( 22.39/3.17 ~spl30_473 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159), 22.39/3.17 inference(avatar_split_clause,[],[f5402,f1601,f1168,f1165,f1124,f1121,f1080,f1077,f5404])). 22.39/3.17 tff(f5404,plain,( 22.39/3.17 spl30_473 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_473])])). 22.39/3.17 tff(f1601,plain,( 22.39/3.17 spl30_159 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_159])])). 22.39/3.17 tff(f5402,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.39/3.17 inference(forward_demodulation,[],[f5401,f4321])). 22.39/3.17 tff(f5401,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.39/3.17 inference(forward_demodulation,[],[f5400,f4348])). 22.39/3.17 tff(f5400,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_159)), 22.39/3.17 inference(forward_demodulation,[],[f5399,f4334])). 22.39/3.17 tff(f5399,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_159)), 22.39/3.17 inference(forward_demodulation,[],[f5398,f4044])). 22.39/3.17 tff(f5398,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | spl30_159)), 22.39/3.17 inference(forward_demodulation,[],[f5174,f4057])). 22.39/3.17 tff(f5174,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | spl30_159)), 22.39/3.17 inference(superposition,[],[f1602,f4307])). 22.39/3.17 tff(f1602,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_159), 22.39/3.17 inference(avatar_component_clause,[],[f1601])). 22.39/3.17 tff(f5397,plain,( 22.39/3.17 ~spl30_472 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158), 22.39/3.17 inference(avatar_split_clause,[],[f5393,f1598,f1168,f1165,f1124,f1121,f1080,f1077,f5395])). 22.39/3.17 tff(f5395,plain,( 22.39/3.17 spl30_472 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_472])])). 22.39/3.17 tff(f1598,plain,( 22.39/3.17 spl30_158 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_158])])). 22.39/3.17 tff(f5393,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.39/3.17 inference(forward_demodulation,[],[f5392,f4321])). 22.39/3.17 tff(f5392,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.39/3.17 inference(forward_demodulation,[],[f5391,f4348])). 22.39/3.17 tff(f5391,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_158)), 22.39/3.17 inference(forward_demodulation,[],[f5390,f4334])). 22.39/3.17 tff(f5390,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_158)), 22.39/3.17 inference(forward_demodulation,[],[f5389,f4044])). 22.39/3.17 tff(f5389,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | spl30_158)), 22.39/3.17 inference(forward_demodulation,[],[f5173,f4057])). 22.39/3.17 tff(f5173,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | spl30_158)), 22.39/3.17 inference(superposition,[],[f1599,f4307])). 22.39/3.17 tff(f1599,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_158), 22.39/3.17 inference(avatar_component_clause,[],[f1598])). 22.39/3.17 tff(f5388,plain,( 22.39/3.17 spl30_471 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | ~spl30_156), 22.39/3.17 inference(avatar_split_clause,[],[f5384,f1590,f1168,f1165,f1124,f1121,f1080,f1077,f5386])). 22.39/3.17 tff(f5386,plain,( 22.39/3.17 spl30_471 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_471])])). 22.39/3.17 tff(f1590,plain,( 22.39/3.17 spl30_156 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_156])])). 22.39/3.17 tff(f5384,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | ~spl30_156)), 22.39/3.17 inference(forward_demodulation,[],[f5383,f4321])). 22.39/3.17 tff(f5383,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | ~spl30_156)), 22.39/3.17 inference(forward_demodulation,[],[f5382,f4348])). 22.39/3.17 tff(f5382,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_156)), 22.39/3.17 inference(forward_demodulation,[],[f5381,f4334])). 22.39/3.17 tff(f5381,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_156)), 22.39/3.17 inference(forward_demodulation,[],[f5380,f4044])). 22.39/3.17 tff(f5380,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_87 | ~spl30_156)), 22.39/3.17 inference(forward_demodulation,[],[f5172,f4057])). 22.39/3.17 tff(f5172,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_81 | ~spl30_156)), 22.39/3.17 inference(superposition,[],[f1591,f4307])). 22.39/3.17 tff(f1591,plain,( 22.39/3.17 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | ~spl30_156), 22.39/3.17 inference(avatar_component_clause,[],[f1590])). 22.39/3.17 tff(f5379,plain,( 22.39/3.17 ~spl30_470 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142), 22.39/3.17 inference(avatar_split_clause,[],[f5375,f1507,f1168,f1165,f1124,f1121,f1080,f1077,f5377])). 22.39/3.17 tff(f5377,plain,( 22.39/3.17 spl30_470 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_470])])). 22.39/3.17 tff(f1507,plain,( 22.39/3.17 spl30_142 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 22.39/3.17 tff(f5375,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.39/3.17 inference(forward_demodulation,[],[f5374,f4321])). 22.39/3.17 tff(f5374,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.39/3.17 inference(forward_demodulation,[],[f5373,f4348])). 22.39/3.17 tff(f5373,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_142)), 22.39/3.17 inference(forward_demodulation,[],[f5372,f4334])). 22.39/3.17 tff(f5372,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_142)), 22.39/3.17 inference(forward_demodulation,[],[f5371,f4044])). 22.39/3.17 tff(f5371,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | spl30_142)), 22.39/3.17 inference(forward_demodulation,[],[f5171,f4057])). 22.39/3.17 tff(f5171,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_81 | spl30_142)), 22.39/3.17 inference(superposition,[],[f1508,f4307])). 22.39/3.17 tff(f1508,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | spl30_142), 22.39/3.17 inference(avatar_component_clause,[],[f1507])). 22.39/3.17 tff(f5370,plain,( 22.39/3.17 ~spl30_469 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141), 22.39/3.17 inference(avatar_split_clause,[],[f5366,f1504,f1168,f1165,f1124,f1121,f1080,f1077,f5368])). 22.39/3.17 tff(f5368,plain,( 22.39/3.17 spl30_469 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_469])])). 22.39/3.17 tff(f1504,plain,( 22.39/3.17 spl30_141 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 22.39/3.17 tff(f5366,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.39/3.17 inference(forward_demodulation,[],[f5365,f4321])). 22.39/3.17 tff(f5365,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.39/3.17 inference(forward_demodulation,[],[f5364,f4348])). 22.39/3.17 tff(f5364,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_141)), 22.39/3.17 inference(forward_demodulation,[],[f5363,f4334])). 22.39/3.17 tff(f5363,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_141)), 22.39/3.17 inference(forward_demodulation,[],[f5362,f4044])). 22.39/3.17 tff(f5362,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | spl30_141)), 22.39/3.17 inference(forward_demodulation,[],[f5170,f4057])). 22.39/3.17 tff(f5170,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_81 | spl30_141)), 22.39/3.17 inference(superposition,[],[f1505,f4307])). 22.39/3.17 tff(f1505,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | spl30_141), 22.39/3.17 inference(avatar_component_clause,[],[f1504])). 22.39/3.17 tff(f5361,plain,( 22.39/3.17 ~spl30_468 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140), 22.39/3.17 inference(avatar_split_clause,[],[f5357,f1501,f1168,f1165,f1124,f1121,f1080,f1077,f5359])). 22.39/3.17 tff(f5359,plain,( 22.39/3.17 spl30_468 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_468])])). 22.39/3.17 tff(f1501,plain,( 22.39/3.17 spl30_140 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 22.39/3.17 tff(f5357,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.39/3.17 inference(forward_demodulation,[],[f5356,f4321])). 22.39/3.17 tff(f5356,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.39/3.17 inference(forward_demodulation,[],[f5355,f4348])). 22.39/3.17 tff(f5355,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_140)), 22.39/3.17 inference(forward_demodulation,[],[f5354,f4334])). 22.39/3.17 tff(f5354,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_140)), 22.39/3.17 inference(forward_demodulation,[],[f5353,f4044])). 22.39/3.17 tff(f5353,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_81 | ~spl30_87 | spl30_140)), 22.39/3.17 inference(forward_demodulation,[],[f5169,f4057])). 22.39/3.17 tff(f5169,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_81 | spl30_140)), 22.39/3.17 inference(superposition,[],[f1502,f4307])). 22.39/3.17 tff(f1502,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | spl30_140), 22.39/3.17 inference(avatar_component_clause,[],[f1501])). 22.39/3.17 tff(f5352,plain,( 22.39/3.17 ~spl30_467 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139), 22.39/3.17 inference(avatar_split_clause,[],[f5348,f1495,f1168,f1165,f1124,f1121,f1080,f1077,f5350])). 22.39/3.17 tff(f5350,plain,( 22.39/3.17 spl30_467 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_467])])). 22.39/3.17 tff(f1495,plain,( 22.39/3.17 spl30_139 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_139])])). 22.39/3.17 tff(f5348,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.39/3.17 inference(forward_demodulation,[],[f5347,f4321])). 22.39/3.17 tff(f5347,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.39/3.17 inference(forward_demodulation,[],[f5346,f4348])). 22.39/3.17 tff(f5346,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_139)), 22.39/3.17 inference(forward_demodulation,[],[f5345,f4334])). 22.39/3.17 tff(f5345,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_139)), 22.39/3.17 inference(forward_demodulation,[],[f5344,f4044])). 22.39/3.17 tff(f5344,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_87 | spl30_139)), 22.39/3.17 inference(forward_demodulation,[],[f5168,f4057])). 22.39/3.17 tff(f5168,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | spl30_139)), 22.39/3.17 inference(superposition,[],[f1498,f4307])). 22.39/3.17 tff(f1498,plain,( 22.39/3.17 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | spl30_139), 22.39/3.17 inference(avatar_component_clause,[],[f1495])). 22.39/3.17 tff(f5318,plain,( 22.39/3.17 ~spl30_466 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135), 22.39/3.17 inference(avatar_split_clause,[],[f5314,f1472,f1168,f1165,f1124,f1121,f1080,f1077,f5316])). 22.39/3.17 tff(f5316,plain,( 22.39/3.17 spl30_466 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_466])])). 22.39/3.17 tff(f1472,plain,( 22.39/3.17 spl30_135 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 22.39/3.17 tff(f5314,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.39/3.17 inference(forward_demodulation,[],[f5313,f4321])). 22.39/3.17 tff(f5313,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.39/3.17 inference(forward_demodulation,[],[f5312,f4348])). 22.39/3.17 tff(f5312,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_135)), 22.39/3.17 inference(forward_demodulation,[],[f5311,f4334])). 22.39/3.17 tff(f5311,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_135)), 22.39/3.17 inference(forward_demodulation,[],[f5310,f4044])). 22.39/3.17 tff(f5310,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | spl30_135)), 22.39/3.17 inference(forward_demodulation,[],[f5162,f4057])). 22.39/3.17 tff(f5162,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_81 | spl30_135)), 22.39/3.17 inference(superposition,[],[f1473,f4307])). 22.39/3.17 tff(f1473,plain,( 22.39/3.17 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | spl30_135), 22.39/3.17 inference(avatar_component_clause,[],[f1472])). 22.39/3.17 tff(f5309,plain,( 22.39/3.17 ~spl30_465 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134), 22.39/3.17 inference(avatar_split_clause,[],[f5305,f1469,f1168,f1165,f1124,f1121,f1080,f1077,f5307])). 22.39/3.17 tff(f5307,plain,( 22.39/3.17 spl30_465 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_465])])). 22.39/3.17 tff(f1469,plain,( 22.39/3.17 spl30_134 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 22.39/3.17 tff(f5305,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.39/3.17 inference(forward_demodulation,[],[f5304,f4321])). 22.39/3.17 tff(f5304,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.39/3.17 inference(forward_demodulation,[],[f5303,f4348])). 22.39/3.17 tff(f5303,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_134)), 22.39/3.17 inference(forward_demodulation,[],[f5302,f4334])). 22.39/3.17 tff(f5302,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_134)), 22.39/3.17 inference(forward_demodulation,[],[f5301,f4044])). 22.39/3.17 tff(f5301,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | spl30_134)), 22.39/3.17 inference(forward_demodulation,[],[f5161,f4057])). 22.39/3.17 tff(f5161,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_81 | spl30_134)), 22.39/3.17 inference(superposition,[],[f1470,f4307])). 22.39/3.17 tff(f1470,plain,( 22.39/3.17 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | spl30_134), 22.39/3.17 inference(avatar_component_clause,[],[f1469])). 22.39/3.17 tff(f5300,plain,( 22.39/3.17 ~spl30_464 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133), 22.39/3.17 inference(avatar_split_clause,[],[f5296,f1466,f1168,f1165,f1124,f1121,f1080,f1077,f5298])). 22.39/3.17 tff(f5298,plain,( 22.39/3.17 spl30_464 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_464])])). 22.39/3.17 tff(f1466,plain,( 22.39/3.17 spl30_133 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_133])])). 22.39/3.17 tff(f5296,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.39/3.17 inference(forward_demodulation,[],[f5295,f4321])). 22.39/3.17 tff(f5295,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.39/3.17 inference(forward_demodulation,[],[f5294,f4348])). 22.39/3.17 tff(f5294,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | spl30_133)), 22.39/3.17 inference(forward_demodulation,[],[f5293,f4334])). 22.39/3.17 tff(f5293,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | ~spl30_88 | spl30_133)), 22.39/3.17 inference(forward_demodulation,[],[f5292,f4044])). 22.39/3.17 tff(f5292,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_81 | ~spl30_87 | spl30_133)), 22.39/3.17 inference(forward_demodulation,[],[f5160,f4057])). 22.39/3.17 tff(f5160,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_81 | spl30_133)), 22.39/3.17 inference(superposition,[],[f1467,f4307])). 22.39/3.17 tff(f1467,plain,( 22.39/3.17 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | spl30_133), 22.39/3.17 inference(avatar_component_clause,[],[f1466])). 22.39/3.17 tff(f5291,plain,( 22.39/3.17 spl30_463 | ~spl30_3 | ~spl30_81 | ~spl30_82), 22.39/3.17 inference(avatar_split_clause,[],[f5287,f1080,f1077,f583,f5289])). 22.39/3.17 tff(f583,plain,( 22.39/3.17 spl30_3 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 22.39/3.17 tff(f5287,plain,( 22.39/3.17 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_3 | ~spl30_81 | ~spl30_82)), 22.39/3.17 inference(forward_demodulation,[],[f5159,f4321])). 22.39/3.17 tff(f5159,plain,( 22.39/3.17 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_3 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f1450,f4307])). 22.39/3.17 tff(f1450,plain,( 22.39/3.17 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_3), 22.39/3.17 inference(avatar_component_clause,[],[f583])). 22.39/3.17 tff(f5286,plain,( 22.39/3.17 spl30_462 | ~spl30_81 | ~spl30_82 | ~spl30_128), 22.39/3.17 inference(avatar_split_clause,[],[f5282,f1429,f1080,f1077,f5284])). 22.39/3.17 tff(f5284,plain,( 22.39/3.17 spl30_462 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_462])])). 22.39/3.17 tff(f1429,plain,( 22.39/3.17 spl30_128 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 22.39/3.17 tff(f5282,plain,( 22.39/3.17 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_81 | ~spl30_82 | ~spl30_128)), 22.39/3.17 inference(forward_demodulation,[],[f5158,f4321])). 22.39/3.17 tff(f5158,plain,( 22.39/3.17 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_81 | ~spl30_128)), 22.39/3.17 inference(superposition,[],[f1430,f4307])). 22.39/3.17 tff(f1430,plain,( 22.39/3.17 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_128), 22.39/3.17 inference(avatar_component_clause,[],[f1429])). 22.39/3.17 tff(f5271,plain,( 22.39/3.17 spl30_461 | ~spl30_81 | ~spl30_82 | ~spl30_117), 22.39/3.17 inference(avatar_split_clause,[],[f5267,f1320,f1080,f1077,f5269])). 22.39/3.17 tff(f1320,plain,( 22.39/3.17 spl30_117 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_117])])). 22.39/3.17 tff(f5267,plain,( 22.39/3.17 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) | (~spl30_81 | ~spl30_82 | ~spl30_117)), 22.39/3.17 inference(forward_demodulation,[],[f5156,f4321])). 22.39/3.17 tff(f5156,plain,( 22.39/3.17 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) | (~spl30_81 | ~spl30_117)), 22.39/3.17 inference(superposition,[],[f1321,f4307])). 22.39/3.17 tff(f1321,plain,( 22.39/3.17 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~spl30_117), 22.39/3.17 inference(avatar_component_clause,[],[f1320])). 22.39/3.17 tff(f5266,plain,( 22.39/3.17 ~spl30_460 | ~spl30_81 | ~spl30_82 | spl30_115), 22.39/3.17 inference(avatar_split_clause,[],[f5262,f1308,f1080,f1077,f5264])). 22.39/3.17 tff(f1308,plain,( 22.39/3.17 spl30_115 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 22.39/3.17 tff(f5262,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_81 | ~spl30_82 | spl30_115)), 22.39/3.17 inference(forward_demodulation,[],[f5155,f4321])). 22.39/3.17 tff(f5155,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_81 | spl30_115)), 22.39/3.17 inference(superposition,[],[f1309,f4307])). 22.39/3.17 tff(f1309,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_115), 22.39/3.17 inference(avatar_component_clause,[],[f1308])). 22.39/3.17 tff(f5261,plain,( 22.39/3.17 ~spl30_459 | ~spl30_81 | ~spl30_82 | spl30_114), 22.39/3.17 inference(avatar_split_clause,[],[f5257,f1302,f1080,f1077,f5259])). 22.39/3.17 tff(f1302,plain,( 22.39/3.17 spl30_114 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 22.39/3.17 tff(f5257,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_81 | ~spl30_82 | spl30_114)), 22.39/3.17 inference(forward_demodulation,[],[f5154,f4321])). 22.39/3.17 tff(f5154,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_81 | spl30_114)), 22.39/3.17 inference(superposition,[],[f1303,f4307])). 22.39/3.17 tff(f1303,plain,( 22.39/3.17 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_114), 22.39/3.17 inference(avatar_component_clause,[],[f1302])). 22.39/3.17 tff(f5256,plain,( 22.39/3.17 ~spl30_458 | ~spl30_81 | ~spl30_82 | spl30_113), 22.39/3.17 inference(avatar_split_clause,[],[f5252,f1296,f1080,f1077,f5254])). 22.39/3.17 tff(f5254,plain,( 22.39/3.17 spl30_458 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))),1)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_458])])). 22.39/3.17 tff(f1296,plain,( 22.39/3.17 spl30_113 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 22.39/3.17 tff(f5252,plain,( 22.39/3.17 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))),1) | (~spl30_81 | ~spl30_82 | spl30_113)), 22.39/3.17 inference(forward_demodulation,[],[f5153,f4321])). 22.39/3.17 tff(f5153,plain,( 22.39/3.17 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))),1) | (~spl30_81 | spl30_113)), 22.39/3.17 inference(superposition,[],[f1297,f4307])). 22.39/3.17 tff(f1297,plain,( 22.39/3.17 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_113), 22.39/3.17 inference(avatar_component_clause,[],[f1296])). 22.39/3.17 tff(f5251,plain,( 22.39/3.17 spl30_457 | ~spl30_81 | ~spl30_82 | ~spl30_112), 22.39/3.17 inference(avatar_split_clause,[],[f5247,f1290,f1080,f1077,f5249])). 22.39/3.17 tff(f5249,plain,( 22.39/3.17 spl30_457 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_457])])). 22.39/3.17 tff(f1290,plain,( 22.39/3.17 spl30_112 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 22.39/3.17 tff(f5247,plain,( 22.39/3.17 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_82 | ~spl30_112)), 22.39/3.17 inference(forward_demodulation,[],[f5152,f4321])). 22.39/3.17 tff(f5152,plain,( 22.39/3.17 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_112)), 22.39/3.17 inference(superposition,[],[f1291,f4307])). 22.39/3.17 tff(f1291,plain,( 22.39/3.17 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_112), 22.39/3.17 inference(avatar_component_clause,[],[f1290])). 22.39/3.17 tff(f5246,plain,( 22.39/3.17 ~spl30_456 | ~spl30_81 | ~spl30_82 | spl30_111), 22.39/3.17 inference(avatar_split_clause,[],[f5242,f1286,f1080,f1077,f5244])). 22.39/3.17 tff(f5244,plain,( 22.39/3.17 spl30_456 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_456])])). 22.39/3.17 tff(f1286,plain,( 22.39/3.17 spl30_111 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 22.39/3.17 tff(f5242,plain,( 22.39/3.17 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_81 | ~spl30_82 | spl30_111)), 22.39/3.17 inference(forward_demodulation,[],[f5151,f4321])). 22.39/3.17 tff(f5151,plain,( 22.39/3.17 sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_81 | spl30_111)), 22.39/3.17 inference(superposition,[],[f1287,f4307])). 22.39/3.17 tff(f1287,plain,( 22.39/3.17 sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_111), 22.39/3.17 inference(avatar_component_clause,[],[f1286])). 22.39/3.17 tff(f5241,plain,( 22.39/3.17 spl30_455 | ~spl30_81 | ~spl30_82 | ~spl30_110), 22.39/3.17 inference(avatar_split_clause,[],[f5237,f1282,f1080,f1077,f5239])). 22.39/3.17 tff(f5239,plain,( 22.39/3.17 spl30_455 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_455])])). 22.39/3.17 tff(f1282,plain,( 22.39/3.17 spl30_110 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 22.39/3.17 tff(f5237,plain,( 22.39/3.17 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_82 | ~spl30_110)), 22.39/3.17 inference(forward_demodulation,[],[f5150,f4321])). 22.39/3.17 tff(f5150,plain,( 22.39/3.17 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_110)), 22.39/3.17 inference(superposition,[],[f1283,f4307])). 22.39/3.17 tff(f1283,plain,( 22.39/3.17 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_110), 22.39/3.17 inference(avatar_component_clause,[],[f1282])). 22.39/3.17 tff(f5236,plain,( 22.39/3.17 ~spl30_454 | ~spl30_81 | ~spl30_82 | spl30_109), 22.39/3.17 inference(avatar_split_clause,[],[f5232,f1278,f1080,f1077,f5234])). 22.39/3.17 tff(f5234,plain,( 22.39/3.17 spl30_454 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_454])])). 22.39/3.17 tff(f1278,plain,( 22.39/3.17 spl30_109 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 22.39/3.17 tff(f5232,plain,( 22.39/3.17 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | spl30_109)), 22.39/3.17 inference(forward_demodulation,[],[f5149,f4321])). 22.39/3.17 tff(f5149,plain,( 22.39/3.17 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | spl30_109)), 22.39/3.17 inference(superposition,[],[f1279,f4307])). 22.39/3.17 tff(f1279,plain,( 22.39/3.17 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_109), 22.39/3.17 inference(avatar_component_clause,[],[f1278])). 22.39/3.17 tff(f5231,plain,( 22.39/3.17 ~spl30_453 | ~spl30_81 | ~spl30_82 | spl30_108), 22.39/3.17 inference(avatar_split_clause,[],[f5227,f1274,f1080,f1077,f5229])). 22.39/3.17 tff(f5229,plain,( 22.39/3.17 spl30_453 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_453])])). 22.39/3.17 tff(f1274,plain,( 22.39/3.17 spl30_108 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_108])])). 22.39/3.17 tff(f5227,plain,( 22.39/3.17 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | spl30_108)), 22.39/3.17 inference(forward_demodulation,[],[f5148,f4321])). 22.39/3.17 tff(f5148,plain,( 22.39/3.17 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | spl30_108)), 22.39/3.17 inference(superposition,[],[f1275,f4307])). 22.39/3.17 tff(f1275,plain,( 22.39/3.17 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_108), 22.39/3.17 inference(avatar_component_clause,[],[f1274])). 22.39/3.17 tff(f5226,plain,( 22.39/3.17 ~spl30_452 | ~spl30_81 | ~spl30_82 | spl30_85), 22.39/3.17 inference(avatar_split_clause,[],[f5222,f1106,f1080,f1077,f5224])). 22.39/3.17 tff(f5224,plain,( 22.39/3.17 spl30_452 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK20(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_452])])). 22.39/3.17 tff(f1106,plain,( 22.39/3.17 spl30_85 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_85])])). 22.39/3.17 tff(f5222,plain,( 22.39/3.17 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK20(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))) | (~spl30_81 | ~spl30_82 | spl30_85)), 22.39/3.17 inference(forward_demodulation,[],[f5147,f4321])). 22.39/3.17 tff(f5147,plain,( 22.39/3.17 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))) | (~spl30_81 | spl30_85)), 22.39/3.17 inference(superposition,[],[f1107,f4307])). 22.39/3.17 tff(f1107,plain,( 22.39/3.17 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | spl30_85), 22.39/3.17 inference(avatar_component_clause,[],[f1106])). 22.39/3.17 tff(f5221,plain,( 22.39/3.17 spl30_451 | ~spl30_80 | ~spl30_81 | ~spl30_82), 22.39/3.17 inference(avatar_split_clause,[],[f5217,f1080,f1077,f1074,f5219])). 22.39/3.17 tff(f5219,plain,( 22.39/3.17 spl30_451 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_451])])). 22.39/3.17 tff(f1074,plain,( 22.39/3.17 spl30_80 <=> $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 22.39/3.17 tff(f5217,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_80 | ~spl30_81 | ~spl30_82)), 22.39/3.17 inference(forward_demodulation,[],[f5146,f4321])). 22.39/3.17 tff(f5146,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_80 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f1075,f4307])). 22.39/3.17 tff(f1075,plain,( 22.39/3.17 $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_80), 22.39/3.17 inference(avatar_component_clause,[],[f1074])). 22.39/3.17 tff(f5216,plain,( 22.39/3.17 spl30_450 | ~spl30_23 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.39/3.17 inference(avatar_split_clause,[],[f5212,f1168,f1165,f1124,f1121,f1080,f1077,f696,f5214])). 22.39/3.17 tff(f5214,plain,( 22.39/3.17 spl30_450 <=> well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_450])])). 22.39/3.17 tff(f696,plain,( 22.39/3.17 spl30_23 <=> well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 22.39/3.17 tff(f5212,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5211,f4321])). 22.39/3.17 tff(f5211,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5210,f4348])). 22.39/3.17 tff(f5210,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93)), 22.39/3.17 inference(forward_demodulation,[],[f5209,f4334])). 22.39/3.17 tff(f5209,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_81 | ~spl30_87 | ~spl30_88)), 22.39/3.17 inference(forward_demodulation,[],[f5208,f4044])). 22.39/3.17 tff(f5208,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_81 | ~spl30_87)), 22.39/3.17 inference(forward_demodulation,[],[f5141,f4057])). 22.39/3.17 tff(f5141,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_23 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f697,f4307])). 22.39/3.17 tff(f697,plain,( 22.39/3.17 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_23), 22.39/3.17 inference(avatar_component_clause,[],[f696])). 22.39/3.17 tff(f5207,plain,( 22.39/3.17 spl30_449 | ~spl30_14 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.39/3.17 inference(avatar_split_clause,[],[f5203,f1168,f1165,f1124,f1121,f1080,f1077,f644,f5205])). 22.39/3.17 tff(f5205,plain,( 22.39/3.17 spl30_449 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_449])])). 22.39/3.17 tff(f644,plain,( 22.39/3.17 spl30_14 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 22.39/3.17 tff(f5203,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5202,f4321])). 22.39/3.17 tff(f5202,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5201,f4348])). 22.39/3.17 tff(f5201,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93)), 22.39/3.17 inference(forward_demodulation,[],[f5200,f4334])). 22.39/3.17 tff(f5200,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81 | ~spl30_87 | ~spl30_88)), 22.39/3.17 inference(forward_demodulation,[],[f5199,f4044])). 22.39/3.17 tff(f5199,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81 | ~spl30_87)), 22.39/3.17 inference(forward_demodulation,[],[f5139,f4057])). 22.39/3.17 tff(f5139,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f645,f4307])). 22.39/3.17 tff(f645,plain,( 22.39/3.17 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~spl30_14), 22.39/3.17 inference(avatar_component_clause,[],[f644])). 22.39/3.17 tff(f5198,plain,( 22.39/3.17 ~spl30_448 | spl30_13 | ~spl30_81 | ~spl30_82), 22.39/3.17 inference(avatar_split_clause,[],[f5194,f1080,f1077,f624,f5196])). 22.39/3.17 tff(f5196,plain,( 22.39/3.17 spl30_448 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_448])])). 22.39/3.17 tff(f5194,plain,( 22.39/3.17 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (spl30_13 | ~spl30_81 | ~spl30_82)), 22.39/3.17 inference(forward_demodulation,[],[f5138,f4321])). 22.39/3.17 tff(f5138,plain,( 22.39/3.17 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (spl30_13 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f627,f4307])). 22.39/3.17 tff(f5193,plain,( 22.39/3.17 spl30_447 | ~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.39/3.17 inference(avatar_split_clause,[],[f5189,f1168,f1165,f1124,f1121,f1080,f1077,f595,f5191])). 22.39/3.17 tff(f5191,plain,( 22.39/3.17 spl30_447 <=> valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_447])])). 22.39/3.17 tff(f5189,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5188,f4321])). 22.39/3.17 tff(f5188,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.39/3.17 inference(forward_demodulation,[],[f5187,f4348])). 22.39/3.17 tff(f5187,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93)), 22.39/3.17 inference(forward_demodulation,[],[f5186,f4334])). 22.39/3.17 tff(f5186,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81 | ~spl30_87 | ~spl30_88)), 22.39/3.17 inference(forward_demodulation,[],[f5185,f4044])). 22.39/3.17 tff(f5185,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81 | ~spl30_87)), 22.39/3.17 inference(forward_demodulation,[],[f5137,f4057])). 22.39/3.17 tff(f5137,plain,( 22.39/3.17 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_81)), 22.39/3.17 inference(superposition,[],[f596,f4307])). 22.39/3.17 tff(f4939,plain,( 22.39/3.17 ~spl30_446 | ~spl30_87 | spl30_310), 22.39/3.17 inference(avatar_split_clause,[],[f4887,f2947,f1121,f4937])). 22.39/3.17 tff(f4937,plain,( 22.39/3.17 spl30_446 <=> $less(9,sK14)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_446])])). 22.39/3.17 tff(f2947,plain,( 22.39/3.17 spl30_310 <=> $less(sK10,sK14)), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_310])])). 22.39/3.17 tff(f4887,plain,( 22.39/3.17 ~$less(9,sK14) | (~spl30_87 | spl30_310)), 22.39/3.17 inference(superposition,[],[f2948,f4057])). 22.39/3.17 tff(f2948,plain,( 22.39/3.17 ~$less(sK10,sK14) | spl30_310), 22.39/3.17 inference(avatar_component_clause,[],[f2947])). 22.39/3.17 tff(f4793,plain,( 22.39/3.17 ~spl30_395 | spl30_445 | ~spl30_395), 22.39/3.17 inference(avatar_split_clause,[],[f4785,f4068,f4791,f4068])). 22.39/3.17 tff(f4791,plain,( 22.39/3.17 spl30_445 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_445])])). 22.39/3.17 tff(f4785,plain,( 22.39/3.17 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~full1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_395), 22.39/3.17 inference(superposition,[],[f4076,f393])). 22.39/3.17 tff(f393,plain,( 22.39/3.17 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1) | ~included1(X0,X1)) )), 22.39/3.17 inference(cnf_transformation,[],[f199])). 22.39/3.17 tff(f4076,plain,( 22.39/3.17 ( ! [X3:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X3),t2tb1(9)))) | ~full1(X3)) ) | ~spl30_395), 22.39/3.17 inference(resolution,[],[f4069,f364])). 22.39/3.17 tff(f364,plain,( 22.39/3.17 ( ! [X0:map_int_int,X1:$int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) | ~is_index1(X1) | ~full1(X0)) )), 22.39/3.17 inference(cnf_transformation,[],[f181])). 22.39/3.17 tff(f181,plain,( 22.39/3.17 ! [X0 : map_int_int] : ((! [X1 : $int] : ((~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) | ~is_index1(X1)) | ~full1(X0)) & (full1(X0) | (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))),1)) & is_index1(sK16(X0)))))), 22.39/3.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f179,f180])). 22.39/3.17 tff(f180,plain,( 22.39/3.17 ! [X0 : map_int_int] : (? [X2 : $int] : (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) & is_index1(X2)) => (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))),1)) & is_index1(sK16(X0))))), 22.39/3.17 introduced(choice_axiom,[])). 22.39/3.17 tff(f179,plain,( 22.39/3.17 ! [X0 : map_int_int] : ((! [X1 : $int] : ((~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) | ~is_index1(X1)) | ~full1(X0)) & (full1(X0) | ? [X2 : $int] : (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) & is_index1(X2))))), 22.39/3.17 inference(rectify,[],[f178])). 22.39/3.17 tff(f178,plain,( 22.39/3.17 ! [X0 : map_int_int] : ((! [X1 : $int] : ((~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) | ~is_index1(X1)) | ~full1(X0)) & (full1(X0) | ? [X1 : $int] : (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) & is_index1(X1))))), 22.39/3.17 inference(nnf_transformation,[],[f135])). 22.39/3.17 tff(f135,plain,( 22.39/3.17 ! [X0 : map_int_int] : (! [X1 : $int] : ((~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) | ~is_index1(X1)) <=> full1(X0))), 22.39/3.17 inference(ennf_transformation,[],[f90])). 22.39/3.17 tff(f90,plain,( 22.39/3.17 ! [X0 : map_int_int] : (! [X1 : $int] : (is_index1(X1) => (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1))) <=> full1(X0))), 22.39/3.17 inference(rectify,[],[f66])). 22.39/3.17 tff(f66,plain,( 22.39/3.17 ! [X4 : map_int_int] : (! [X5 : $int] : (is_index1(X5) => (~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1(X5)))) & ~$less(tb2t1(get(int,int,t2tb(X4),t2tb1(X5))),1))) <=> full1(X4))), 22.39/3.17 inference(theory_normalization,[],[f3])). 22.39/3.17 tff(f3,axiom,( 22.39/3.17 ! [X4 : map_int_int] : (! [X5 : $int] : (is_index1(X5) => ($lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1(X5))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X4),t2tb1(X5)))))) <=> full1(X4))), 22.39/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',full_def)). 22.39/3.17 tff(f4789,plain,( 22.39/3.17 ~spl30_395 | spl30_444 | ~spl30_395), 22.39/3.17 inference(avatar_split_clause,[],[f4778,f4068,f4787,f4068])). 22.39/3.17 tff(f4787,plain,( 22.39/3.17 spl30_444 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~full1(X0) | ~included1(X0,X1) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_444])])). 22.39/3.17 tff(f4778,plain,( 22.39/3.17 ( ! [X0:map_int_int,X1:map_int_int] : (~full1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))) | ~is_index1(9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~included1(X0,X1)) ) | ~spl30_395), 22.39/3.17 inference(resolution,[],[f4076,f393])). 22.39/3.17 tff(f4777,plain,( 22.39/3.17 ~spl30_395 | spl30_443 | ~spl30_395), 22.39/3.17 inference(avatar_split_clause,[],[f4768,f4068,f4775,f4068])). 22.39/3.17 tff(f4775,plain,( 22.39/3.17 spl30_443 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_443])])). 22.39/3.17 tff(f4768,plain,( 22.39/3.17 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | ~full1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_395), 22.39/3.17 inference(superposition,[],[f4075,f393])). 22.39/3.17 tff(f4075,plain,( 22.39/3.17 ( ! [X2:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X2),t2tb1(9))),1) | ~full1(X2)) ) | ~spl30_395), 22.39/3.17 inference(resolution,[],[f4069,f363])). 22.39/3.17 tff(f363,plain,( 22.39/3.17 ( ! [X0:map_int_int,X1:$int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1) | ~is_index1(X1) | ~full1(X0)) )), 22.39/3.17 inference(cnf_transformation,[],[f181])). 22.39/3.17 tff(f4772,plain,( 22.39/3.17 ~spl30_395 | spl30_442 | ~spl30_395), 22.39/3.17 inference(avatar_split_clause,[],[f4761,f4068,f4770,f4068])). 22.39/3.17 tff(f4770,plain,( 22.39/3.17 spl30_442 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~full1(X0) | ~included1(X0,X1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(9)))) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))))), 22.39/3.17 introduced(avatar_definition,[new_symbols(naming,[spl30_442])])). 22.39/3.17 tff(f4761,plain,( 22.39/3.17 ( ! [X0:map_int_int,X1:map_int_int] : (~full1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(9)))) | ~included1(X0,X1)) ) | ~spl30_395), 22.39/3.17 inference(resolution,[],[f4075,f393])). 22.39/3.18 tff(f4760,plain,( 22.39/3.18 ~spl30_395 | spl30_441 | ~spl30_395), 22.39/3.18 inference(avatar_split_clause,[],[f4751,f4068,f4758,f4068])). 22.39/3.18 tff(f4758,plain,( 22.39/3.18 spl30_441 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_441])])). 22.39/3.18 tff(f4751,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~valid_values1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_395), 22.39/3.18 inference(superposition,[],[f4074,f393])). 22.39/3.18 tff(f4074,plain,( 22.39/3.18 ( ! [X1:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X1),t2tb1(9))),0) | ~valid_values1(X1)) ) | ~spl30_395), 22.39/3.18 inference(resolution,[],[f4069,f351])). 22.39/3.18 tff(f351,plain,( 22.39/3.18 ( ! [X2:$int,X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),0) | ~is_index1(X2) | ~valid_values1(X0)) )), 22.39/3.18 inference(cnf_transformation,[],[f175])). 22.39/3.18 tff(f175,plain,( 22.39/3.18 ! [X0 : map_int_int] : ((valid_values1(X0) | (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))))) & is_index1(sK15(X0)))) & (! [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2))))) | ~is_index1(X2)) | ~valid_values1(X0)))), 22.39/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f173,f174])). 22.39/3.18 tff(f174,plain,( 22.39/3.18 ! [X0 : map_int_int] : (? [X1 : $int] : (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) & is_index1(X1)) => (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))))) & is_index1(sK15(X0))))), 22.39/3.18 introduced(choice_axiom,[])). 22.39/3.18 tff(f173,plain,( 22.39/3.18 ! [X0 : map_int_int] : ((valid_values1(X0) | ? [X1 : $int] : (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) & is_index1(X1))) & (! [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2))))) | ~is_index1(X2)) | ~valid_values1(X0)))), 22.39/3.18 inference(rectify,[],[f172])). 22.39/3.18 tff(f172,plain,( 22.39/3.18 ! [X0 : map_int_int] : ((valid_values1(X0) | ? [X1 : $int] : (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) & is_index1(X1))) & (! [X1 : $int] : ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) | ~is_index1(X1)) | ~valid_values1(X0)))), 22.39/3.18 inference(nnf_transformation,[],[f134])). 22.39/3.18 tff(f134,plain,( 22.39/3.18 ! [X0 : map_int_int] : (valid_values1(X0) <=> ! [X1 : $int] : ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) | ~is_index1(X1)))), 22.39/3.18 inference(ennf_transformation,[],[f88])). 22.39/3.18 tff(f88,plain,( 22.39/3.18 ! [X0 : map_int_int] : (valid_values1(X0) <=> ! [X1 : $int] : (is_index1(X1) => (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))))))), 22.39/3.18 inference(rectify,[],[f65])). 22.39/3.18 tff(f65,plain,( 22.39/3.18 ! [X4 : map_int_int] : (valid_values1(X4) <=> ! [X5 : $int] : (is_index1(X5) => (~$less(tb2t1(get(int,int,t2tb(X4),t2tb1(X5))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1(X5)))))))), 22.39/3.18 inference(theory_normalization,[],[f6])). 22.39/3.18 tff(f6,axiom,( 22.39/3.18 ! [X4 : map_int_int] : (valid_values1(X4) <=> ! [X5 : $int] : (is_index1(X5) => ($lesseq(0,tb2t1(get(int,int,t2tb(X4),t2tb1(X5)))) & $lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1(X5))),9))))), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_values_def)). 22.39/3.18 tff(f4756,plain,( 22.39/3.18 ~spl30_395 | spl30_440 | ~spl30_395), 22.39/3.18 inference(avatar_split_clause,[],[f4750,f4068,f4754,f4068])). 22.39/3.18 tff(f4754,plain,( 22.39/3.18 spl30_440 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~included1(X9,X8) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~valid_values1(X8))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_440])])). 22.39/3.18 tff(f4750,plain,( 22.39/3.18 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~valid_values1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | ~included1(X9,X8)) ) | ~spl30_395), 22.39/3.18 inference(superposition,[],[f4074,f393])). 22.39/3.18 tff(f4731,plain,( 22.39/3.18 ~spl30_395 | spl30_439 | ~spl30_395), 22.39/3.18 inference(avatar_split_clause,[],[f4723,f4068,f4729,f4068])). 22.39/3.18 tff(f4729,plain,( 22.39/3.18 spl30_439 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_439])])). 22.39/3.18 tff(f4723,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~valid_values1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_395), 22.39/3.18 inference(superposition,[],[f4073,f393])). 22.39/3.18 tff(f4073,plain,( 22.39/3.18 ( ! [X0:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(9)))) | ~valid_values1(X0)) ) | ~spl30_395), 22.39/3.18 inference(resolution,[],[f4069,f350])). 22.39/3.18 tff(f350,plain,( 22.39/3.18 ( ! [X2:$int,X0:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | ~is_index1(X2) | ~valid_values1(X0)) )), 22.39/3.18 inference(cnf_transformation,[],[f175])). 22.39/3.18 tff(f4727,plain,( 22.39/3.18 ~spl30_395 | spl30_438 | ~spl30_395), 22.39/3.18 inference(avatar_split_clause,[],[f4716,f4068,f4725,f4068])). 22.39/3.18 tff(f4725,plain,( 22.39/3.18 spl30_438 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~valid_values1(X0) | ~included1(X0,X1) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_438])])). 22.39/3.18 tff(f4716,plain,( 22.39/3.18 ( ! [X0:map_int_int,X1:map_int_int] : (~valid_values1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(9))) = tb2t1(get(int,int,t2tb(X1),t2tb1(9))) | ~is_index1(9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~included1(X0,X1)) ) | ~spl30_395), 22.39/3.18 inference(resolution,[],[f4073,f393])). 22.39/3.18 tff(f4715,plain,( 22.39/3.18 ~spl30_8 | spl30_437 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4707,f598,f4713,f598])). 22.39/3.18 tff(f4713,plain,( 22.39/3.18 spl30_437 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_437])])). 22.39/3.18 tff(f4707,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~full1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_8), 22.39/3.18 inference(superposition,[],[f2978,f393])). 22.39/3.18 tff(f2978,plain,( 22.39/3.18 ( ! [X3:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X3),t2tb1(sK14)))) | ~full1(X3)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2824,f364])). 22.39/3.18 tff(f4711,plain,( 22.39/3.18 ~spl30_8 | spl30_436 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4700,f598,f4709,f598])). 22.39/3.18 tff(f4709,plain,( 22.39/3.18 spl30_436 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~full1(X0) | ~included1(X0,X1) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_436])])). 22.39/3.18 tff(f4700,plain,( 22.39/3.18 ( ! [X0:map_int_int,X1:map_int_int] : (~full1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))) | ~is_index1(sK14) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2978,f393])). 22.39/3.18 tff(f4699,plain,( 22.39/3.18 ~spl30_8 | spl30_435 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4690,f598,f4697,f598])). 22.39/3.18 tff(f4697,plain,( 22.39/3.18 spl30_435 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_435])])). 22.39/3.18 tff(f4690,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | ~full1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_8), 22.39/3.18 inference(superposition,[],[f2977,f393])). 22.39/3.18 tff(f2977,plain,( 22.39/3.18 ( ! [X2:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X2),t2tb1(sK14))),1) | ~full1(X2)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2824,f363])). 22.39/3.18 tff(f4694,plain,( 22.39/3.18 ~spl30_8 | spl30_434 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4683,f598,f4692,f598])). 22.39/3.18 tff(f4692,plain,( 22.39/3.18 spl30_434 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~full1(X0) | ~included1(X0,X1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK14)))) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_434])])). 22.39/3.18 tff(f4683,plain,( 22.39/3.18 ( ! [X0:map_int_int,X1:map_int_int] : (~full1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK14)))) | ~included1(X0,X1)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2977,f393])). 22.39/3.18 tff(f4669,plain,( 22.39/3.18 ~spl30_8 | spl30_433 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4660,f598,f4667,f598])). 22.39/3.18 tff(f4667,plain,( 22.39/3.18 spl30_433 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_433])])). 22.39/3.18 tff(f4660,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~valid_values1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_8), 22.39/3.18 inference(superposition,[],[f2976,f393])). 22.39/3.18 tff(f2976,plain,( 22.39/3.18 ( ! [X1:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))),0) | ~valid_values1(X1)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2824,f351])). 22.39/3.18 tff(f4665,plain,( 22.39/3.18 ~spl30_8 | spl30_432 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4659,f598,f4663,f598])). 22.39/3.18 tff(f4663,plain,( 22.39/3.18 spl30_432 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~included1(X9,X8) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~valid_values1(X8))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_432])])). 22.39/3.18 tff(f4659,plain,( 22.39/3.18 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~valid_values1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | ~included1(X9,X8)) ) | ~spl30_8), 22.39/3.18 inference(superposition,[],[f2976,f393])). 22.39/3.18 tff(f4640,plain,( 22.39/3.18 ~spl30_8 | spl30_431 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4632,f598,f4638,f598])). 22.39/3.18 tff(f4638,plain,( 22.39/3.18 spl30_431 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_431])])). 22.39/3.18 tff(f4632,plain,( 22.39/3.18 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~valid_values1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_8), 22.39/3.18 inference(superposition,[],[f2975,f393])). 22.39/3.18 tff(f2975,plain,( 22.39/3.18 ( ! [X0:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK14)))) | ~valid_values1(X0)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2824,f350])). 22.39/3.18 tff(f4636,plain,( 22.39/3.18 ~spl30_8 | spl30_430 | ~spl30_8), 22.39/3.18 inference(avatar_split_clause,[],[f4625,f598,f4634,f598])). 22.39/3.18 tff(f4634,plain,( 22.39/3.18 spl30_430 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~valid_values1(X0) | ~included1(X0,X1) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_430])])). 22.39/3.18 tff(f4625,plain,( 22.39/3.18 ( ! [X0:map_int_int,X1:map_int_int] : (~valid_values1(X0) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X1),t2tb1(sK14))) | ~is_index1(sK14) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_8), 22.39/3.18 inference(resolution,[],[f2975,f393])). 22.39/3.18 tff(f4536,plain,( 22.39/3.18 spl30_429), 22.39/3.18 inference(avatar_contradiction_clause,[],[f4535])). 22.39/3.18 tff(f4535,plain,( 22.39/3.18 $false | spl30_429), 22.39/3.18 inference(evaluation,[],[f4534])). 22.39/3.18 tff(f4534,plain,( 22.39/3.18 ~$less(80,81) | $less(80,0) | spl30_429), 22.39/3.18 inference(resolution,[],[f4496,f349])). 22.39/3.18 tff(f4496,plain,( 22.39/3.18 ~is_index1(80) | spl30_429), 22.39/3.18 inference(avatar_component_clause,[],[f4493])). 22.39/3.18 tff(f4493,plain,( 22.39/3.18 spl30_429 <=> is_index1(80)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_429])])). 22.39/3.18 tff(f4497,plain,( 22.39/3.18 ~spl30_429 | ~spl30_321), 22.39/3.18 inference(avatar_split_clause,[],[f4482,f3060,f4493])). 22.39/3.18 tff(f3060,plain,( 22.39/3.18 spl30_321 <=> ! [X9 : $int] : (~$less(80,X9) | $less(X9,0) | $less(81,X9))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_321])])). 22.39/3.18 tff(f4482,plain,( 22.39/3.18 ~is_index1(80) | ~spl30_321), 22.39/3.18 inference(evaluation,[],[f4479])). 22.39/3.18 tff(f4479,plain,( 22.39/3.18 $less(81,0) | $less(81,81) | ~is_index1(80) | ~spl30_321), 22.39/3.18 inference(resolution,[],[f3061,f348])). 22.39/3.18 tff(f3061,plain,( 22.39/3.18 ( ! [X9:$int] : (~$less(80,X9) | $less(X9,0) | $less(81,X9)) ) | ~spl30_321), 22.39/3.18 inference(avatar_component_clause,[],[f3060])). 22.39/3.18 tff(f4495,plain,( 22.39/3.18 spl30_429 | ~spl30_321), 22.39/3.18 inference(avatar_split_clause,[],[f4491,f3060,f4493])). 22.39/3.18 tff(f4491,plain,( 22.39/3.18 is_index1(80) | ~spl30_321), 22.39/3.18 inference(evaluation,[],[f4466])). 22.39/3.18 tff(f4466,plain,( 22.39/3.18 $less(0,0) | $less(81,0) | is_index1(80) | ~$less(80,81) | ~spl30_321), 22.39/3.18 inference(resolution,[],[f3061,f349])). 22.39/3.18 tff(f4464,plain,( 22.39/3.18 ~spl30_25 | ~spl30_255), 22.39/3.18 inference(avatar_contradiction_clause,[],[f4463])). 22.39/3.18 tff(f4463,plain,( 22.39/3.18 $false | (~spl30_25 | ~spl30_255)), 22.39/3.18 inference(evaluation,[],[f4432])). 22.39/3.18 tff(f4432,plain,( 22.39/3.18 $less(81,0) | $less(81,81) | (~spl30_25 | ~spl30_255)), 22.39/3.18 inference(resolution,[],[f2567,f2986])). 22.39/3.18 tff(f2986,plain,( 22.39/3.18 $less(sK14,81) | ~spl30_25), 22.39/3.18 inference(avatar_component_clause,[],[f706])). 22.39/3.18 tff(f706,plain,( 22.39/3.18 spl30_25 <=> $less(sK14,81)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 22.39/3.18 tff(f2567,plain,( 22.39/3.18 ( ! [X9:$int] : (~$less(sK14,X9) | $less(X9,0) | $less(81,X9)) ) | ~spl30_255), 22.39/3.18 inference(avatar_component_clause,[],[f2566])). 22.39/3.18 tff(f2566,plain,( 22.39/3.18 spl30_255 <=> ! [X9 : $int] : (~$less(sK14,X9) | $less(X9,0) | $less(81,X9))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_255])])). 22.39/3.18 tff(f4427,plain,( 22.39/3.18 ~spl30_395 | ~spl30_87 | ~spl30_253), 22.39/3.18 inference(avatar_split_clause,[],[f4425,f2554,f1121,f4068])). 22.39/3.18 tff(f2554,plain,( 22.39/3.18 spl30_253 <=> ! [X9 : $int] : (~$less(sK10,X9) | $less(X9,0) | $less(81,X9))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_253])])). 22.39/3.18 tff(f4425,plain,( 22.39/3.18 ~is_index1(9) | (~spl30_87 | ~spl30_253)), 22.39/3.18 inference(forward_demodulation,[],[f4408,f4057])). 22.39/3.18 tff(f4408,plain,( 22.39/3.18 ~is_index1(sK10) | ~spl30_253), 22.39/3.18 inference(evaluation,[],[f4405])). 22.39/3.18 tff(f4405,plain,( 22.39/3.18 $less(81,0) | $less(81,81) | ~is_index1(sK10) | ~spl30_253), 22.39/3.18 inference(resolution,[],[f2555,f348])). 22.39/3.18 tff(f2555,plain,( 22.39/3.18 ( ! [X9:$int] : (~$less(sK10,X9) | $less(X9,0) | $less(81,X9)) ) | ~spl30_253), 22.39/3.18 inference(avatar_component_clause,[],[f2554])). 22.39/3.18 tff(f4354,plain,( 22.39/3.18 spl30_428 | ~spl30_166), 22.39/3.18 inference(avatar_split_clause,[],[f4347,f1969,f4352])). 22.39/3.18 tff(f4352,plain,( 22.39/3.18 spl30_428 <=> mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_428])])). 22.39/3.18 tff(f1969,plain,( 22.39/3.18 spl30_166 <=> 81 = length1(int,mk_array1(int,sK4,t2tb(sK5)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_166])])). 22.39/3.18 tff(f4347,plain,( 22.39/3.18 mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5)))) | ~spl30_166), 22.39/3.18 inference(superposition,[],[f366,f1970])). 22.39/3.18 tff(f1970,plain,( 22.39/3.18 81 = length1(int,mk_array1(int,sK4,t2tb(sK5))) | ~spl30_166), 22.39/3.18 inference(avatar_component_clause,[],[f1969])). 22.39/3.18 tff(f366,plain,( 22.39/3.18 ( ! [X0:ty,X1:uni] : (mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1) )), 22.39/3.18 inference(cnf_transformation,[],[f92])). 22.39/3.18 tff(f92,plain,( 22.39/3.18 ! [X0 : ty,X1 : uni] : mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1), 22.39/3.18 inference(rectify,[],[f40])). 22.39/3.18 tff(f40,axiom,( 22.39/3.18 ! [X16 : ty,X6 : uni] : mk_array1(X16,length1(X16,X6),elts(X16,X6)) = X6), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',array_inversion1)). 22.39/3.18 tff(f4350,plain,( 22.39/3.18 spl30_94 | ~spl30_166), 22.39/3.18 inference(avatar_split_clause,[],[f4345,f1969,f1168])). 22.39/3.18 tff(f4345,plain,( 22.39/3.18 81 = sK4 | ~spl30_166), 22.39/3.18 inference(superposition,[],[f397,f1970])). 22.39/3.18 tff(f397,plain,( 22.39/3.18 ( ! [X2:uni,X0:ty,X1:$int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 22.39/3.18 inference(cnf_transformation,[],[f101])). 22.39/3.18 tff(f101,plain,( 22.39/3.18 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 22.39/3.18 inference(rectify,[],[f13])). 22.39/3.18 tff(f13,axiom,( 22.39/3.18 ! [X16 : ty,X6 : $int,X7 : uni] : length1(X16,mk_array1(X16,X6,X7)) = X6), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def1)). 22.39/3.18 tff(f4349,plain,( 22.39/3.18 spl30_94 | ~spl30_166), 22.39/3.18 inference(avatar_split_clause,[],[f4344,f1969,f1168])). 22.39/3.18 tff(f4344,plain,( 22.39/3.18 81 = sK4 | ~spl30_166), 22.39/3.18 inference(superposition,[],[f1970,f397])). 22.39/3.18 tff(f4340,plain,( 22.39/3.18 spl30_427 | ~spl30_165), 22.39/3.18 inference(avatar_split_clause,[],[f4333,f1964,f4338])). 22.39/3.18 tff(f4338,plain,( 22.39/3.18 spl30_427 <=> mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_427])])). 22.39/3.18 tff(f1964,plain,( 22.39/3.18 spl30_165 <=> 9 = length1(int,mk_array1(int,sK6,t2tb(sK7)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_165])])). 22.39/3.18 tff(f4333,plain,( 22.39/3.18 mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_165), 22.39/3.18 inference(superposition,[],[f366,f1965])). 22.39/3.18 tff(f1965,plain,( 22.39/3.18 9 = length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~spl30_165), 22.39/3.18 inference(avatar_component_clause,[],[f1964])). 22.39/3.18 tff(f4336,plain,( 22.39/3.18 spl30_93 | ~spl30_165), 22.39/3.18 inference(avatar_split_clause,[],[f4331,f1964,f1165])). 22.39/3.18 tff(f4331,plain,( 22.39/3.18 9 = sK6 | ~spl30_165), 22.39/3.18 inference(superposition,[],[f397,f1965])). 22.39/3.18 tff(f4335,plain,( 22.39/3.18 spl30_93 | ~spl30_165), 22.39/3.18 inference(avatar_split_clause,[],[f4330,f1964,f1165])). 22.39/3.18 tff(f4330,plain,( 22.39/3.18 9 = sK6 | ~spl30_165), 22.39/3.18 inference(superposition,[],[f1965,f397])). 22.39/3.18 tff(f4327,plain,( 22.39/3.18 spl30_426 | ~spl30_164), 22.39/3.18 inference(avatar_split_clause,[],[f4320,f1949,f4325])). 22.39/3.18 tff(f4325,plain,( 22.39/3.18 spl30_426 <=> mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_426])])). 22.39/3.18 tff(f1949,plain,( 22.39/3.18 spl30_164 <=> 81 = length1(int,mk_array1(int,sK0,t2tb(sK1)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_164])])). 22.39/3.18 tff(f4320,plain,( 22.39/3.18 mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1)))) | ~spl30_164), 22.39/3.18 inference(superposition,[],[f366,f1950])). 22.39/3.18 tff(f1950,plain,( 22.39/3.18 81 = length1(int,mk_array1(int,sK0,t2tb(sK1))) | ~spl30_164), 22.39/3.18 inference(avatar_component_clause,[],[f1949])). 22.39/3.18 tff(f4323,plain,( 22.39/3.18 spl30_82 | ~spl30_164), 22.39/3.18 inference(avatar_split_clause,[],[f4318,f1949,f1080])). 22.39/3.18 tff(f4318,plain,( 22.39/3.18 81 = sK0 | ~spl30_164), 22.39/3.18 inference(superposition,[],[f397,f1950])). 22.39/3.18 tff(f4322,plain,( 22.39/3.18 spl30_82 | ~spl30_164), 22.39/3.18 inference(avatar_split_clause,[],[f4317,f1949,f1080])). 22.39/3.18 tff(f4317,plain,( 22.39/3.18 81 = sK0 | ~spl30_164), 22.39/3.18 inference(superposition,[],[f1950,f397])). 22.39/3.18 tff(f4313,plain,( 22.39/3.18 spl30_425 | ~spl30_163), 22.39/3.18 inference(avatar_split_clause,[],[f4306,f1944,f4311])). 22.39/3.18 tff(f4311,plain,( 22.39/3.18 spl30_425 <=> mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_425])])). 22.39/3.18 tff(f1944,plain,( 22.39/3.18 spl30_163 <=> 9 = length1(int,mk_array1(int,sK2,t2tb(sK3)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_163])])). 22.39/3.18 tff(f4306,plain,( 22.39/3.18 mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_163), 22.39/3.18 inference(superposition,[],[f366,f1945])). 22.39/3.18 tff(f1945,plain,( 22.39/3.18 9 = length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~spl30_163), 22.39/3.18 inference(avatar_component_clause,[],[f1944])). 22.39/3.18 tff(f4309,plain,( 22.39/3.18 spl30_81 | ~spl30_163), 22.39/3.18 inference(avatar_split_clause,[],[f4304,f1944,f1077])). 22.39/3.18 tff(f4304,plain,( 22.39/3.18 9 = sK2 | ~spl30_163), 22.39/3.18 inference(superposition,[],[f397,f1945])). 22.39/3.18 tff(f4308,plain,( 22.39/3.18 spl30_81 | ~spl30_163), 22.39/3.18 inference(avatar_split_clause,[],[f4303,f1944,f1077])). 22.39/3.18 tff(f4303,plain,( 22.39/3.18 9 = sK2 | ~spl30_163), 22.39/3.18 inference(superposition,[],[f1945,f397])). 22.39/3.18 tff(f4301,plain,( 22.39/3.18 ~spl30_408 | spl30_409 | ~spl30_410), 22.39/3.18 inference(avatar_split_clause,[],[f4300,f4217,f4212,f4207])). 22.39/3.18 tff(f4207,plain,( 22.39/3.18 spl30_408 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_408])])). 22.39/3.18 tff(f4212,plain,( 22.39/3.18 spl30_409 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_409])])). 22.39/3.18 tff(f4217,plain,( 22.39/3.18 spl30_410 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_410])])). 22.39/3.18 tff(f4300,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | (spl30_409 | ~spl30_410)), 22.39/3.18 inference(forward_demodulation,[],[f4213,f4218])). 22.39/3.18 tff(f4218,plain,( 22.39/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | ~spl30_410), 22.39/3.18 inference(avatar_component_clause,[],[f4217])). 22.39/3.18 tff(f4213,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | spl30_409), 22.39/3.18 inference(avatar_component_clause,[],[f4212])). 22.39/3.18 tff(f4295,plain,( 22.39/3.18 ~spl30_424 | spl30_63 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4138,f1124,f928,f4293])). 22.39/3.18 tff(f4293,plain,( 22.39/3.18 spl30_424 <=> is_index1(81)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_424])])). 22.39/3.18 tff(f928,plain,( 22.39/3.18 spl30_63 <=> is_index1(sK8)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 22.39/3.18 tff(f4138,plain,( 22.39/3.18 ~is_index1(81) | (spl30_63 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f1686,f4044])). 22.39/3.18 tff(f1686,plain,( 22.39/3.18 ~is_index1(sK8) | spl30_63), 22.39/3.18 inference(avatar_component_clause,[],[f928])). 22.39/3.18 tff(f4291,plain,( 22.39/3.18 ~spl30_423 | ~spl30_87 | ~spl30_88 | spl30_160), 22.39/3.18 inference(avatar_split_clause,[],[f4287,f1604,f1124,f1121,f4289])). 22.39/3.18 tff(f4289,plain,( 22.39/3.18 spl30_423 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_423])])). 22.39/3.18 tff(f4287,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | spl30_160)), 22.39/3.18 inference(forward_demodulation,[],[f4137,f4057])). 22.39/3.18 tff(f4137,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | spl30_160)), 22.39/3.18 inference(superposition,[],[f1605,f4044])). 22.39/3.18 tff(f4286,plain,( 22.39/3.18 ~spl30_422 | ~spl30_87 | ~spl30_88 | spl30_159), 22.39/3.18 inference(avatar_split_clause,[],[f4282,f1601,f1124,f1121,f4284])). 22.39/3.18 tff(f4284,plain,( 22.39/3.18 spl30_422 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_422])])). 22.39/3.18 tff(f4282,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | spl30_159)), 22.39/3.18 inference(forward_demodulation,[],[f4136,f4057])). 22.39/3.18 tff(f4136,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | spl30_159)), 22.39/3.18 inference(superposition,[],[f1602,f4044])). 22.39/3.18 tff(f4281,plain,( 22.39/3.18 ~spl30_421 | ~spl30_87 | ~spl30_88 | spl30_158), 22.39/3.18 inference(avatar_split_clause,[],[f4277,f1598,f1124,f1121,f4279])). 22.39/3.18 tff(f4279,plain,( 22.39/3.18 spl30_421 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_421])])). 22.39/3.18 tff(f4277,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | spl30_158)), 22.39/3.18 inference(forward_demodulation,[],[f4135,f4057])). 22.39/3.18 tff(f4135,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | spl30_158)), 22.39/3.18 inference(superposition,[],[f1599,f4044])). 22.39/3.18 tff(f4276,plain,( 22.39/3.18 spl30_420 | ~spl30_87 | ~spl30_88 | ~spl30_156), 22.39/3.18 inference(avatar_split_clause,[],[f4272,f1590,f1124,f1121,f4274])). 22.39/3.18 tff(f4274,plain,( 22.39/3.18 spl30_420 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_420])])). 22.39/3.18 tff(f4272,plain,( 22.39/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_87 | ~spl30_88 | ~spl30_156)), 22.39/3.18 inference(forward_demodulation,[],[f4134,f4057])). 22.39/3.18 tff(f4134,plain,( 22.39/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_88 | ~spl30_156)), 22.39/3.18 inference(superposition,[],[f1591,f4044])). 22.39/3.18 tff(f4271,plain,( 22.39/3.18 ~spl30_419 | ~spl30_87 | ~spl30_88 | spl30_142), 22.39/3.18 inference(avatar_split_clause,[],[f4267,f1507,f1124,f1121,f4269])). 22.39/3.18 tff(f4269,plain,( 22.39/3.18 spl30_419 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_419])])). 22.39/3.18 tff(f4267,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_88 | spl30_142)), 22.39/3.18 inference(forward_demodulation,[],[f4133,f4057])). 22.39/3.18 tff(f4133,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_88 | spl30_142)), 22.39/3.18 inference(superposition,[],[f1508,f4044])). 22.39/3.18 tff(f4266,plain,( 22.39/3.18 ~spl30_418 | ~spl30_87 | ~spl30_88 | spl30_141), 22.39/3.18 inference(avatar_split_clause,[],[f4262,f1504,f1124,f1121,f4264])). 22.39/3.18 tff(f4264,plain,( 22.39/3.18 spl30_418 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_418])])). 22.39/3.18 tff(f4262,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_88 | spl30_141)), 22.39/3.18 inference(forward_demodulation,[],[f4132,f4057])). 22.39/3.18 tff(f4132,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_88 | spl30_141)), 22.39/3.18 inference(superposition,[],[f1505,f4044])). 22.39/3.18 tff(f4261,plain,( 22.39/3.18 ~spl30_417 | ~spl30_87 | ~spl30_88 | spl30_140), 22.39/3.18 inference(avatar_split_clause,[],[f4257,f1501,f1124,f1121,f4259])). 22.39/3.18 tff(f4259,plain,( 22.39/3.18 spl30_417 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_417])])). 22.39/3.18 tff(f4257,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_88 | spl30_140)), 22.39/3.18 inference(forward_demodulation,[],[f4131,f4057])). 22.39/3.18 tff(f4131,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_88 | spl30_140)), 22.39/3.18 inference(superposition,[],[f1502,f4044])). 22.39/3.18 tff(f4256,plain,( 22.39/3.18 ~spl30_416 | ~spl30_87 | ~spl30_88 | spl30_139), 22.39/3.18 inference(avatar_split_clause,[],[f4252,f1495,f1124,f1121,f4254])). 22.39/3.18 tff(f4254,plain,( 22.39/3.18 spl30_416 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_416])])). 22.39/3.18 tff(f4252,plain,( 22.39/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_87 | ~spl30_88 | spl30_139)), 22.39/3.18 inference(forward_demodulation,[],[f4130,f4057])). 22.39/3.18 tff(f4130,plain,( 22.39/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | (~spl30_88 | spl30_139)), 22.39/3.18 inference(superposition,[],[f1498,f4044])). 22.39/3.18 tff(f4246,plain,( 22.39/3.18 ~spl30_415 | ~spl30_87 | ~spl30_88 | spl30_135), 22.39/3.18 inference(avatar_split_clause,[],[f4242,f1472,f1124,f1121,f4244])). 22.39/3.18 tff(f4244,plain,( 22.39/3.18 spl30_415 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_415])])). 22.39/3.18 tff(f4242,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_88 | spl30_135)), 22.39/3.18 inference(forward_demodulation,[],[f4124,f4057])). 22.39/3.18 tff(f4124,plain,( 22.39/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_88 | spl30_135)), 22.39/3.18 inference(superposition,[],[f1473,f4044])). 22.39/3.18 tff(f4241,plain,( 22.39/3.18 ~spl30_414 | ~spl30_87 | ~spl30_88 | spl30_134), 22.39/3.18 inference(avatar_split_clause,[],[f4237,f1469,f1124,f1121,f4239])). 22.39/3.18 tff(f4239,plain,( 22.39/3.18 spl30_414 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_414])])). 22.39/3.18 tff(f4237,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_88 | spl30_134)), 22.39/3.18 inference(forward_demodulation,[],[f4123,f4057])). 22.39/3.18 tff(f4123,plain,( 22.39/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_88 | spl30_134)), 22.39/3.18 inference(superposition,[],[f1470,f4044])). 22.39/3.18 tff(f4236,plain,( 22.39/3.18 ~spl30_413 | ~spl30_87 | ~spl30_88 | spl30_133), 22.39/3.18 inference(avatar_split_clause,[],[f4232,f1466,f1124,f1121,f4234])). 22.39/3.18 tff(f4234,plain,( 22.39/3.18 spl30_413 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_413])])). 22.39/3.18 tff(f4232,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_88 | spl30_133)), 22.39/3.18 inference(forward_demodulation,[],[f4122,f4057])). 22.39/3.18 tff(f4122,plain,( 22.39/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_88 | spl30_133)), 22.39/3.18 inference(superposition,[],[f1467,f4044])). 22.39/3.18 tff(f4231,plain,( 22.39/3.18 spl30_412 | ~spl30_87 | ~spl30_88 | ~spl30_130), 22.39/3.18 inference(avatar_split_clause,[],[f4227,f1441,f1124,f1121,f4229])). 22.39/3.18 tff(f4229,plain,( 22.39/3.18 spl30_412 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_412])])). 22.39/3.18 tff(f1441,plain,( 22.39/3.18 spl30_130 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 22.39/3.18 tff(f4227,plain,( 22.39/3.18 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_87 | ~spl30_88 | ~spl30_130)), 22.39/3.18 inference(forward_demodulation,[],[f4121,f4057])). 22.39/3.18 tff(f4121,plain,( 22.39/3.18 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_88 | ~spl30_130)), 22.39/3.18 inference(superposition,[],[f1442,f4044])). 22.39/3.18 tff(f1442,plain,( 22.39/3.18 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_130), 22.39/3.18 inference(avatar_component_clause,[],[f1441])). 22.39/3.18 tff(f4226,plain,( 22.39/3.18 spl30_411 | ~spl30_4 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4222,f1124,f1121,f586,f4224])). 22.39/3.18 tff(f586,plain,( 22.39/3.18 spl30_4 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 22.39/3.18 tff(f4222,plain,( 22.39/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_4 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4120,f4057])). 22.39/3.18 tff(f4120,plain,( 22.39/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_4 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f1424,f4044])). 22.39/3.18 tff(f1424,plain,( 22.39/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_4), 22.39/3.18 inference(avatar_component_clause,[],[f586])). 22.39/3.18 tff(f4219,plain,( 22.39/3.18 spl30_410 | ~spl30_87 | ~spl30_88 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f4215,f1393,f1124,f1121,f4217])). 22.39/3.18 tff(f1393,plain,( 22.39/3.18 spl30_127 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 22.39/3.18 tff(f4215,plain,( 22.39/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | (~spl30_87 | ~spl30_88 | ~spl30_127)), 22.39/3.18 inference(forward_demodulation,[],[f4118,f4057])). 22.39/3.18 tff(f4118,plain,( 22.39/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | (~spl30_88 | ~spl30_127)), 22.39/3.18 inference(superposition,[],[f1394,f4044])). 22.39/3.18 tff(f1394,plain,( 22.39/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~spl30_127), 22.39/3.18 inference(avatar_component_clause,[],[f1393])). 22.39/3.18 tff(f4214,plain,( 22.39/3.18 ~spl30_409 | ~spl30_87 | ~spl30_88 | spl30_125), 22.39/3.18 inference(avatar_split_clause,[],[f4210,f1381,f1124,f1121,f4212])). 22.39/3.18 tff(f1381,plain,( 22.39/3.18 spl30_125 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 22.39/3.18 tff(f4210,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | (~spl30_87 | ~spl30_88 | spl30_125)), 22.39/3.18 inference(forward_demodulation,[],[f4117,f4057])). 22.39/3.18 tff(f4117,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | (~spl30_88 | spl30_125)), 22.39/3.18 inference(superposition,[],[f1382,f4044])). 22.39/3.18 tff(f1382,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_125), 22.39/3.18 inference(avatar_component_clause,[],[f1381])). 22.39/3.18 tff(f4209,plain,( 22.39/3.18 ~spl30_408 | ~spl30_87 | ~spl30_88 | spl30_124), 22.39/3.18 inference(avatar_split_clause,[],[f4205,f1375,f1124,f1121,f4207])). 22.39/3.18 tff(f1375,plain,( 22.39/3.18 spl30_124 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 22.39/3.18 tff(f4205,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | (~spl30_87 | ~spl30_88 | spl30_124)), 22.39/3.18 inference(forward_demodulation,[],[f4116,f4057])). 22.39/3.18 tff(f4116,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | (~spl30_88 | spl30_124)), 22.39/3.18 inference(superposition,[],[f1376,f4044])). 22.39/3.18 tff(f1376,plain,( 22.39/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_124), 22.39/3.18 inference(avatar_component_clause,[],[f1375])). 22.39/3.18 tff(f4204,plain,( 22.39/3.18 ~spl30_407 | ~spl30_87 | ~spl30_88 | spl30_123), 22.39/3.18 inference(avatar_split_clause,[],[f4200,f1369,f1124,f1121,f4202])). 22.39/3.18 tff(f4202,plain,( 22.39/3.18 spl30_407 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_407])])). 22.39/3.18 tff(f1369,plain,( 22.39/3.18 spl30_123 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 22.39/3.18 tff(f4200,plain,( 22.39/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1) | (~spl30_87 | ~spl30_88 | spl30_123)), 22.39/3.18 inference(forward_demodulation,[],[f4115,f4057])). 22.39/3.18 tff(f4115,plain,( 22.39/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | (~spl30_88 | spl30_123)), 22.39/3.18 inference(superposition,[],[f1370,f4044])). 22.39/3.18 tff(f1370,plain,( 22.39/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_123), 22.39/3.18 inference(avatar_component_clause,[],[f1369])). 22.39/3.18 tff(f4199,plain,( 22.39/3.18 spl30_406 | ~spl30_87 | ~spl30_88 | ~spl30_122), 22.39/3.18 inference(avatar_split_clause,[],[f4195,f1363,f1124,f1121,f4197])). 22.39/3.18 tff(f4197,plain,( 22.39/3.18 spl30_406 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_406])])). 22.39/3.18 tff(f1363,plain,( 22.39/3.18 spl30_122 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 22.39/3.18 tff(f4195,plain,( 22.39/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_87 | ~spl30_88 | ~spl30_122)), 22.39/3.18 inference(forward_demodulation,[],[f4114,f4057])). 22.39/3.18 tff(f4114,plain,( 22.39/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_88 | ~spl30_122)), 22.39/3.18 inference(superposition,[],[f1364,f4044])). 22.39/3.18 tff(f1364,plain,( 22.39/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_122), 22.39/3.18 inference(avatar_component_clause,[],[f1363])). 22.39/3.18 tff(f4194,plain,( 22.39/3.18 ~spl30_405 | ~spl30_87 | ~spl30_88 | spl30_121), 22.39/3.18 inference(avatar_split_clause,[],[f4190,f1359,f1124,f1121,f4192])). 22.39/3.18 tff(f4192,plain,( 22.39/3.18 spl30_405 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_405])])). 22.39/3.18 tff(f1359,plain,( 22.39/3.18 spl30_121 <=> sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_121])])). 22.39/3.18 tff(f4190,plain,( 22.39/3.18 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_87 | ~spl30_88 | spl30_121)), 22.39/3.18 inference(forward_demodulation,[],[f4113,f4057])). 22.39/3.18 tff(f4113,plain,( 22.39/3.18 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_88 | spl30_121)), 22.39/3.18 inference(superposition,[],[f1360,f4044])). 22.39/3.18 tff(f1360,plain,( 22.39/3.18 sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_121), 22.39/3.18 inference(avatar_component_clause,[],[f1359])). 22.39/3.18 tff(f4189,plain,( 22.39/3.18 spl30_404 | ~spl30_87 | ~spl30_88 | ~spl30_120), 22.39/3.18 inference(avatar_split_clause,[],[f4185,f1355,f1124,f1121,f4187])). 22.39/3.18 tff(f4187,plain,( 22.39/3.18 spl30_404 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_404])])). 22.39/3.18 tff(f1355,plain,( 22.39/3.18 spl30_120 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 22.39/3.18 tff(f4185,plain,( 22.39/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_87 | ~spl30_88 | ~spl30_120)), 22.39/3.18 inference(forward_demodulation,[],[f4112,f4057])). 22.39/3.18 tff(f4112,plain,( 22.39/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_88 | ~spl30_120)), 22.39/3.18 inference(superposition,[],[f1356,f4044])). 22.39/3.18 tff(f1356,plain,( 22.39/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_120), 22.39/3.18 inference(avatar_component_clause,[],[f1355])). 22.39/3.18 tff(f4184,plain,( 22.39/3.18 ~spl30_403 | ~spl30_87 | ~spl30_88 | spl30_119), 22.39/3.18 inference(avatar_split_clause,[],[f4180,f1351,f1124,f1121,f4182])). 22.39/3.18 tff(f4182,plain,( 22.39/3.18 spl30_403 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_403])])). 22.39/3.18 tff(f1351,plain,( 22.39/3.18 spl30_119 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_119])])). 22.39/3.18 tff(f4180,plain,( 22.39/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_88 | spl30_119)), 22.39/3.18 inference(forward_demodulation,[],[f4111,f4057])). 22.39/3.18 tff(f4111,plain,( 22.39/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_88 | spl30_119)), 22.39/3.18 inference(superposition,[],[f1352,f4044])). 22.39/3.18 tff(f1352,plain,( 22.39/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_119), 22.39/3.18 inference(avatar_component_clause,[],[f1351])). 22.39/3.18 tff(f4179,plain,( 22.39/3.18 ~spl30_402 | ~spl30_87 | ~spl30_88 | spl30_118), 22.39/3.18 inference(avatar_split_clause,[],[f4175,f1347,f1124,f1121,f4177])). 22.39/3.18 tff(f4177,plain,( 22.39/3.18 spl30_402 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_402])])). 22.39/3.18 tff(f1347,plain,( 22.39/3.18 spl30_118 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 22.39/3.18 tff(f4175,plain,( 22.39/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_87 | ~spl30_88 | spl30_118)), 22.39/3.18 inference(forward_demodulation,[],[f4110,f4057])). 22.39/3.18 tff(f4110,plain,( 22.39/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_88 | spl30_118)), 22.39/3.18 inference(superposition,[],[f1348,f4044])). 22.39/3.18 tff(f1348,plain,( 22.39/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_118), 22.39/3.18 inference(avatar_component_clause,[],[f1347])). 22.39/3.18 tff(f4174,plain,( 22.39/3.18 ~spl30_401 | ~spl30_87 | ~spl30_88 | spl30_91), 22.39/3.18 inference(avatar_split_clause,[],[f4170,f1150,f1124,f1121,f4172])). 22.39/3.18 tff(f4172,plain,( 22.39/3.18 spl30_401 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK20(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_401])])). 22.39/3.18 tff(f1150,plain,( 22.39/3.18 spl30_91 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 22.39/3.18 tff(f4170,plain,( 22.39/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK20(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | (~spl30_87 | ~spl30_88 | spl30_91)), 22.39/3.18 inference(forward_demodulation,[],[f4109,f4057])). 22.39/3.18 tff(f4109,plain,( 22.39/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK20(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | (~spl30_88 | spl30_91)), 22.39/3.18 inference(superposition,[],[f1151,f4044])). 22.39/3.18 tff(f1151,plain,( 22.39/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | spl30_91), 22.39/3.18 inference(avatar_component_clause,[],[f1150])). 22.39/3.18 tff(f4169,plain,( 22.39/3.18 spl30_400 | ~spl30_86 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4165,f1124,f1121,f1118,f4167])). 22.39/3.18 tff(f4167,plain,( 22.39/3.18 spl30_400 <=> $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_400])])). 22.39/3.18 tff(f1118,plain,( 22.39/3.18 spl30_86 <=> $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_86])])). 22.39/3.18 tff(f4165,plain,( 22.39/3.18 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_86 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4108,f4057])). 22.39/3.18 tff(f4108,plain,( 22.39/3.18 $less(sK21(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_86 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f1119,f4044])). 22.39/3.18 tff(f1119,plain,( 22.39/3.18 $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_86), 22.39/3.18 inference(avatar_component_clause,[],[f1118])). 22.39/3.18 tff(f4164,plain,( 22.39/3.18 spl30_399 | ~spl30_23 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4160,f1124,f1121,f696,f4162])). 22.39/3.18 tff(f4162,plain,( 22.39/3.18 spl30_399 <=> well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_399])])). 22.39/3.18 tff(f4160,plain,( 22.39/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_23 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4102,f4057])). 22.39/3.18 tff(f4102,plain,( 22.39/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_23 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f697,f4044])). 22.39/3.18 tff(f4159,plain,( 22.39/3.18 spl30_398 | ~spl30_14 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4155,f1124,f1121,f644,f4157])). 22.39/3.18 tff(f4157,plain,( 22.39/3.18 spl30_398 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_398])])). 22.39/3.18 tff(f4155,plain,( 22.39/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4100,f4057])). 22.39/3.18 tff(f4100,plain,( 22.39/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f645,f4044])). 22.39/3.18 tff(f4154,plain,( 22.39/3.18 ~spl30_397 | spl30_11 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4150,f1124,f1121,f610,f4152])). 22.39/3.18 tff(f4150,plain,( 22.39/3.18 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (spl30_11 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4099,f4057])). 22.39/3.18 tff(f4099,plain,( 22.39/3.18 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (spl30_11 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f636,f4044])). 22.39/3.18 tff(f4149,plain,( 22.39/3.18 spl30_396 | ~spl30_7 | ~spl30_87 | ~spl30_88), 22.39/3.18 inference(avatar_split_clause,[],[f4145,f1124,f1121,f595,f4147])). 22.39/3.18 tff(f4147,plain,( 22.39/3.18 spl30_396 <=> valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_396])])). 22.39/3.18 tff(f4145,plain,( 22.39/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_87 | ~spl30_88)), 22.39/3.18 inference(forward_demodulation,[],[f4098,f4057])). 22.39/3.18 tff(f4098,plain,( 22.39/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | (~spl30_7 | ~spl30_88)), 22.39/3.18 inference(superposition,[],[f596,f4044])). 22.39/3.18 tff(f4070,plain,( 22.39/3.18 spl30_395 | ~spl30_72 | ~spl30_87), 22.39/3.18 inference(avatar_split_clause,[],[f4066,f1121,f1035,f4068])). 22.39/3.18 tff(f1035,plain,( 22.39/3.18 spl30_72 <=> is_index1(sK10)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_72])])). 22.39/3.18 tff(f4066,plain,( 22.39/3.18 is_index1(9) | (~spl30_72 | ~spl30_87)), 22.39/3.18 inference(forward_demodulation,[],[f1036,f4057])). 22.39/3.18 tff(f1036,plain,( 22.39/3.18 is_index1(sK10) | ~spl30_72), 22.39/3.18 inference(avatar_component_clause,[],[f1035])). 22.39/3.18 tff(f4063,plain,( 22.39/3.18 spl30_394 | ~spl30_162), 22.39/3.18 inference(avatar_split_clause,[],[f4056,f1932,f4061])). 22.39/3.18 tff(f4061,plain,( 22.39/3.18 spl30_394 <=> mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_394])])). 22.39/3.18 tff(f1932,plain,( 22.39/3.18 spl30_162 <=> 9 = length1(int,mk_array1(int,sK10,t2tb(sK11)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_162])])). 22.39/3.18 tff(f4056,plain,( 22.39/3.18 mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_162), 22.39/3.18 inference(superposition,[],[f366,f1933])). 22.39/3.18 tff(f1933,plain,( 22.39/3.18 9 = length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~spl30_162), 22.39/3.18 inference(avatar_component_clause,[],[f1932])). 22.39/3.18 tff(f4059,plain,( 22.39/3.18 spl30_87 | ~spl30_162), 22.39/3.18 inference(avatar_split_clause,[],[f4054,f1932,f1121])). 22.39/3.18 tff(f4054,plain,( 22.39/3.18 9 = sK10 | ~spl30_162), 22.39/3.18 inference(superposition,[],[f397,f1933])). 22.39/3.18 tff(f4058,plain,( 22.39/3.18 spl30_87 | ~spl30_162), 22.39/3.18 inference(avatar_split_clause,[],[f4053,f1932,f1121])). 22.39/3.18 tff(f4053,plain,( 22.39/3.18 9 = sK10 | ~spl30_162), 22.39/3.18 inference(superposition,[],[f1933,f397])). 22.39/3.18 tff(f4050,plain,( 22.39/3.18 spl30_393 | ~spl30_161), 22.39/3.18 inference(avatar_split_clause,[],[f4043,f1925,f4048])). 22.39/3.18 tff(f4048,plain,( 22.39/3.18 spl30_393 <=> mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_393])])). 22.39/3.18 tff(f1925,plain,( 22.39/3.18 spl30_161 <=> 81 = length1(int,mk_array1(int,sK8,t2tb(sK9)))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_161])])). 22.39/3.18 tff(f4043,plain,( 22.39/3.18 mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9)))) | ~spl30_161), 22.39/3.18 inference(superposition,[],[f366,f1926])). 22.39/3.18 tff(f1926,plain,( 22.39/3.18 81 = length1(int,mk_array1(int,sK8,t2tb(sK9))) | ~spl30_161), 22.39/3.18 inference(avatar_component_clause,[],[f1925])). 22.39/3.18 tff(f4046,plain,( 22.39/3.18 spl30_88 | ~spl30_161), 22.39/3.18 inference(avatar_split_clause,[],[f4041,f1925,f1124])). 22.39/3.18 tff(f4041,plain,( 22.39/3.18 81 = sK8 | ~spl30_161), 22.39/3.18 inference(superposition,[],[f397,f1926])). 22.39/3.18 tff(f4045,plain,( 22.39/3.18 spl30_88 | ~spl30_161), 22.39/3.18 inference(avatar_split_clause,[],[f4040,f1925,f1124])). 22.39/3.18 tff(f4040,plain,( 22.39/3.18 81 = sK8 | ~spl30_161), 22.39/3.18 inference(superposition,[],[f1926,f397])). 22.39/3.18 tff(f4000,plain,( 22.39/3.18 spl30_16 | spl30_392 | ~spl30_25), 22.39/3.18 inference(avatar_split_clause,[],[f3983,f706,f3998,f660])). 22.39/3.18 tff(f660,plain,( 22.39/3.18 spl30_16 <=> $less(sK14,0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 22.39/3.18 tff(f3998,plain,( 22.39/3.18 spl30_392 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,sK14) | ~valid_up_to1(X17,X18,81))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_392])])). 22.39/3.18 tff(f3983,plain,( 22.39/3.18 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK14) | $less(sK14,0) | ~valid_up_to1(X17,X18,81)) ) | ~spl30_25), 22.39/3.18 inference(resolution,[],[f2986,f421])). 22.39/3.18 tff(f421,plain,( 22.39/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X3:$int,X1:map_int_int] : (valid_column1(X0,X1,X3) | $less(X3,0) | ~$less(X3,X2) | ~valid_up_to1(X0,X1,X2)) )), 22.39/3.18 inference(cnf_transformation,[],[f208])). 22.39/3.18 tff(f208,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3)) | $less(X3,0) | ~$less(X3,X2)) | ~valid_up_to1(X0,X1,X2)) & (valid_up_to1(X0,X1,X2) | ((~valid_column1(X0,X1,sK24(X0,X1,X2)) | ~valid_row1(X0,X1,sK24(X0,X1,X2)) | ~valid_square1(X0,X1,sK24(X0,X1,X2))) & ~$less(sK24(X0,X1,X2),0) & $less(sK24(X0,X1,X2),X2))))), 22.39/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f206,f207])). 22.39/3.18 tff(f207,plain,( 22.39/3.18 ! [X2 : $int,X1 : map_int_int,X0 : sudoku_chunks1] : (? [X4 : $int] : ((~valid_column1(X0,X1,X4) | ~valid_row1(X0,X1,X4) | ~valid_square1(X0,X1,X4)) & ~$less(X4,0) & $less(X4,X2)) => ((~valid_column1(X0,X1,sK24(X0,X1,X2)) | ~valid_row1(X0,X1,sK24(X0,X1,X2)) | ~valid_square1(X0,X1,sK24(X0,X1,X2))) & ~$less(sK24(X0,X1,X2),0) & $less(sK24(X0,X1,X2),X2)))), 22.39/3.18 introduced(choice_axiom,[])). 22.39/3.18 tff(f206,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3)) | $less(X3,0) | ~$less(X3,X2)) | ~valid_up_to1(X0,X1,X2)) & (valid_up_to1(X0,X1,X2) | ? [X4 : $int] : ((~valid_column1(X0,X1,X4) | ~valid_row1(X0,X1,X4) | ~valid_square1(X0,X1,X4)) & ~$less(X4,0) & $less(X4,X2))))), 22.39/3.18 inference(rectify,[],[f205])). 22.39/3.18 tff(f205,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3)) | $less(X3,0) | ~$less(X3,X2)) | ~valid_up_to1(X0,X1,X2)) & (valid_up_to1(X0,X1,X2) | ? [X3 : $int] : ((~valid_column1(X0,X1,X3) | ~valid_row1(X0,X1,X3) | ~valid_square1(X0,X1,X3)) & ~$less(X3,0) & $less(X3,X2))))), 22.39/3.18 inference(nnf_transformation,[],[f153])). 22.39/3.18 tff(f153,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3)) | $less(X3,0) | ~$less(X3,X2)) <=> valid_up_to1(X0,X1,X2))), 22.39/3.18 inference(flattening,[],[f152])). 22.39/3.18 tff(f152,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (! [X3 : $int] : ((valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3)) | ($less(X3,0) | ~$less(X3,X2))) <=> valid_up_to1(X0,X1,X2))), 22.39/3.18 inference(ennf_transformation,[],[f113])). 22.39/3.18 tff(f113,plain,( 22.39/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (! [X3 : $int] : ((~$less(X3,0) & $less(X3,X2)) => (valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3))) <=> valid_up_to1(X0,X1,X2))), 22.39/3.18 inference(rectify,[],[f71])). 22.39/3.18 tff(f71,plain,( 22.39/3.18 ! [X3 : sudoku_chunks1,X4 : map_int_int,X5 : $int] : (! [X29 : $int] : ((~$less(X29,0) & $less(X29,X5)) => (valid_column1(X3,X4,X29) & valid_row1(X3,X4,X29) & valid_square1(X3,X4,X29))) <=> valid_up_to1(X3,X4,X5))), 22.39/3.18 inference(theory_normalization,[],[f45])). 22.39/3.18 tff(f45,axiom,( 22.39/3.18 ! [X3 : sudoku_chunks1,X4 : map_int_int,X5 : $int] : (! [X29 : $int] : (($lesseq(0,X29) & $less(X29,X5)) => (valid_column1(X3,X4,X29) & valid_row1(X3,X4,X29) & valid_square1(X3,X4,X29))) <=> valid_up_to1(X3,X4,X5))), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_up_to_def)). 22.39/3.18 tff(f3996,plain,( 22.39/3.18 spl30_16 | spl30_391 | ~spl30_25), 22.39/3.18 inference(avatar_split_clause,[],[f3982,f706,f3994,f660])). 22.39/3.18 tff(f3994,plain,( 22.39/3.18 spl30_391 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK14) | ~valid_up_to1(X15,X16,81))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_391])])). 22.39/3.18 tff(f3982,plain,( 22.39/3.18 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK14) | $less(sK14,0) | ~valid_up_to1(X15,X16,81)) ) | ~spl30_25), 22.39/3.18 inference(resolution,[],[f2986,f420])). 22.39/3.18 tff(f420,plain,( 22.39/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X3:$int,X1:map_int_int] : (valid_row1(X0,X1,X3) | $less(X3,0) | ~$less(X3,X2) | ~valid_up_to1(X0,X1,X2)) )), 22.39/3.18 inference(cnf_transformation,[],[f208])). 22.39/3.18 tff(f3992,plain,( 22.39/3.18 spl30_16 | spl30_390 | ~spl30_25), 22.39/3.18 inference(avatar_split_clause,[],[f3981,f706,f3990,f660])). 22.39/3.18 tff(f3990,plain,( 22.39/3.18 spl30_390 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK14) | ~valid_up_to1(X13,X14,81))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_390])])). 22.39/3.18 tff(f3981,plain,( 22.39/3.18 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK14) | $less(sK14,0) | ~valid_up_to1(X13,X14,81)) ) | ~spl30_25), 22.39/3.18 inference(resolution,[],[f2986,f419])). 22.39/3.18 tff(f419,plain,( 22.39/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X3:$int,X1:map_int_int] : (valid_square1(X0,X1,X3) | $less(X3,0) | ~$less(X3,X2) | ~valid_up_to1(X0,X1,X2)) )), 22.39/3.18 inference(cnf_transformation,[],[f208])). 22.39/3.18 tff(f3988,plain,( 22.39/3.18 spl30_16 | spl30_389 | ~spl30_25), 22.39/3.18 inference(avatar_split_clause,[],[f3979,f706,f3985,f660])). 22.39/3.18 tff(f3985,plain,( 22.39/3.18 spl30_389 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14)))))) | ~valid_chunk_up_to1(X0,X2,X1,X3,81) | sK14 = X4 | ~$less(X4,81) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14)))))),1))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_389])])). 22.39/3.18 tff(f3979,plain,( 22.39/3.18 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK14)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK14))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK14)))))),1) | $less(sK14,0) | ~$less(X9,81) | sK14 = X9 | $less(X9,0) | ~valid_chunk_up_to1(X5,X7,X6,X8,81)) ) | ~spl30_25), 22.39/3.18 inference(resolution,[],[f2986,f455])). 22.39/3.18 tff(f455,plain,( 22.39/3.18 ( ! [X6:$int,X4:$int,X2:array_int,X0:map_int_int,X5:$int,X3:array_int,X1:$int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0) | ~valid_chunk_up_to1(X0,X1,X2,X3,X4)) )), 22.39/3.18 inference(cnf_transformation,[],[f220])). 22.39/3.18 tff(f220,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : ((! [X5 : $int,X6 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0)) | ~valid_chunk_up_to1(X0,X1,X2,X3,X4)) & (valid_chunk_up_to1(X0,X1,X2,X3,X4) | (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4)))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4))))))),1) & ~$less(sK28(X0,X1,X2,X3,X4),0) & $less(sK28(X0,X1,X2,X3,X4),X4) & $less(sK29(X0,X1,X2,X3,X4),X4) & sK28(X0,X1,X2,X3,X4) != sK29(X0,X1,X2,X3,X4) & ~$less(sK29(X0,X1,X2,X3,X4),0))))), 22.39/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f218,f219])). 22.39/3.18 tff(f219,plain,( 22.39/3.18 ! [X4 : $int,X3 : array_int,X2 : array_int,X1 : $int,X0 : map_int_int] : (? [X7 : $int,X8 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(X7,0) & $less(X7,X4) & $less(X8,X4) & X7 != X8 & ~$less(X8,0)) => (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4)))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4))))))),1) & ~$less(sK28(X0,X1,X2,X3,X4),0) & $less(sK28(X0,X1,X2,X3,X4),X4) & $less(sK29(X0,X1,X2,X3,X4),X4) & sK28(X0,X1,X2,X3,X4) != sK29(X0,X1,X2,X3,X4) & ~$less(sK29(X0,X1,X2,X3,X4),0)))), 22.39/3.18 introduced(choice_axiom,[])). 22.39/3.18 tff(f218,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : ((! [X5 : $int,X6 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0)) | ~valid_chunk_up_to1(X0,X1,X2,X3,X4)) & (valid_chunk_up_to1(X0,X1,X2,X3,X4) | ? [X7 : $int,X8 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X8))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(X7,0) & $less(X7,X4) & $less(X8,X4) & X7 != X8 & ~$less(X8,0))))), 22.39/3.18 inference(rectify,[],[f217])). 22.39/3.18 tff(f217,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : ((! [X5 : $int,X6 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0)) | ~valid_chunk_up_to1(X0,X1,X2,X3,X4)) & (valid_chunk_up_to1(X0,X1,X2,X3,X4) | ? [X5 : $int,X6 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(X5,0) & $less(X5,X4) & $less(X6,X4) & X5 != X6 & ~$less(X6,0))))), 22.39/3.18 inference(nnf_transformation,[],[f164])). 22.39/3.18 tff(f164,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : (! [X5 : $int,X6 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) | $less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0)) <=> valid_chunk_up_to1(X0,X1,X2,X3,X4))), 22.39/3.18 inference(flattening,[],[f163])). 22.39/3.18 tff(f163,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : (! [X5 : $int,X6 : $int] : ((tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))) | ($less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1))) | ($less(X5,0) | ~$less(X5,X4) | ~$less(X6,X4) | X5 = X6 | $less(X6,0))) <=> valid_chunk_up_to1(X0,X1,X2,X3,X4))), 22.39/3.18 inference(ennf_transformation,[],[f124])). 22.39/3.18 tff(f124,plain,( 22.39/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int,X4 : $int] : (! [X5 : $int,X6 : $int] : ((~$less(X5,0) & $less(X5,X4) & $less(X6,X4) & X5 != X6 & ~$less(X6,0)) => ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1)) => tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))))) <=> valid_chunk_up_to1(X0,X1,X2,X3,X4))), 22.39/3.18 inference(rectify,[],[f75])). 22.39/3.18 tff(f75,plain,( 22.39/3.18 ! [X4 : map_int_int,X5 : $int,X12 : array_int,X13 : array_int,X34 : $int] : (! [X14 : $int,X15 : $int] : ((~$less(X14,0) & $less(X14,X34) & $less(X15,X34) & X14 != X15 & ~$less(X15,0)) => ((~$less(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14))))))) & ~$less(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))),1)) => tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))) != tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))))) <=> valid_chunk_up_to1(X4,X5,X12,X13,X34))), 22.39/3.18 inference(theory_normalization,[],[f43])). 22.39/3.18 tff(f43,axiom,( 22.39/3.18 ! [X4 : map_int_int,X5 : $int,X12 : array_int,X13 : array_int,X34 : $int] : (! [X14 : $int,X15 : $int] : (($lesseq(0,X14) & $less(X14,X34) & $less(X15,X34) & X14 != X15 & $lesseq(0,X15)) => (($lesseq(1,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15))))))) & $lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))),9) & $lesseq(tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))))) => tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X14)))))) != tb2t1(get(int,int,t2tb(X4),t2tb1($sum(tb2t1(get2(int,t2tb2(X12),X5)),tb2t1(get2(int,t2tb2(X13),X15)))))))) <=> valid_chunk_up_to1(X4,X5,X12,X13,X34))), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',valid_chunk_up_to_def)). 22.39/3.18 tff(f3987,plain,( 22.39/3.18 spl30_16 | spl30_389 | ~spl30_25), 22.39/3.18 inference(avatar_split_clause,[],[f3978,f706,f3985,f660])). 22.39/3.18 tff(f3978,plain,( 22.39/3.18 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(X4,0) | ~$less(X4,81) | sK14 = X4 | $less(sK14,0) | ~valid_chunk_up_to1(X0,X2,X1,X3,81)) ) | ~spl30_25), 22.39/3.18 inference(resolution,[],[f2986,f455])). 22.39/3.18 tff(f3794,plain,( 22.39/3.18 spl30_388 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3790,f1393,f3792])). 22.39/3.18 tff(f3792,plain,( 22.39/3.18 spl30_388 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_388])])). 22.39/3.18 tff(f3790,plain,( 22.39/3.18 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~spl30_127), 22.39/3.18 inference(forward_demodulation,[],[f3767,f338])). 22.39/3.18 tff(f338,plain,( 22.39/3.18 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 22.39/3.18 inference(cnf_transformation,[],[f80])). 22.39/3.18 tff(f80,plain,( 22.39/3.18 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 22.39/3.18 inference(rectify,[],[f46])). 22.39/3.18 tff(f46,axiom,( 22.39/3.18 ! [X29 : uni] : t2tb1(tb2t1(X29)) = X29), 22.39/3.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 22.39/3.18 tff(f3767,plain,( 22.39/3.18 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) = t2tb1(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f338,f1394])). 22.39/3.18 tff(f3789,plain,( 22.39/3.18 spl30_123 | ~spl30_384 | spl30_386 | spl30_124 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3764,f1393,f1375,f3778,f3769,f1369])). 22.39/3.18 tff(f3769,plain,( 22.39/3.18 spl30_384 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_384])])). 22.39/3.18 tff(f3778,plain,( 22.39/3.18 spl30_386 <=> ! [X7 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~included1(sK13,X7))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_386])])). 22.39/3.18 tff(f3764,plain,( 22.39/3.18 ( ! [X3:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X3),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X3)) ) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f393,f1394])). 22.39/3.18 tff(f3788,plain,( 22.39/3.18 spl30_124 | ~spl30_384 | spl30_386 | spl30_123 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3763,f1393,f1369,f3778,f3769,f1375])). 22.39/3.18 tff(f3763,plain,( 22.39/3.18 ( ! [X2:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~included1(sK13,X2)) ) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f393,f1394])). 22.39/3.18 tff(f3787,plain,( 22.39/3.18 ~spl30_384 | spl30_385 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3762,f1393,f3772,f3769])). 22.39/3.18 tff(f3772,plain,( 22.39/3.18 spl30_385 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~included1(X6,sK13) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))))), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_385])])). 22.39/3.18 tff(f3762,plain,( 22.39/3.18 ( ! [X1:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(X1,sK13)) ) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f393,f1394])). 22.39/3.18 tff(f3786,plain,( 22.39/3.18 spl30_123 | spl30_124 | ~spl30_384 | spl30_386 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3761,f1393,f3778,f3769,f1375,f1369])). 22.39/3.18 tff(f3761,plain,( 22.39/3.18 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X0)) ) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f393,f1394])). 22.39/3.18 tff(f3785,plain,( 22.39/3.18 ~spl30_9 | ~spl30_384 | ~spl30_387 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3758,f1393,f3782,f3769,f601])). 22.39/3.18 tff(f601,plain,( 22.39/3.18 spl30_9 <=> valid_values1(sK13)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 22.39/3.18 tff(f3782,plain,( 22.39/3.18 spl30_387 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),0)), 22.39/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_387])])). 22.39/3.18 tff(f3758,plain,( 22.39/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~valid_values1(sK13) | ~spl30_127), 22.39/3.18 inference(superposition,[],[f351,f1394])). 22.39/3.18 tff(f3784,plain,( 22.39/3.18 ~spl30_384 | ~spl30_387 | ~spl30_9 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3755,f1393,f601,f3782,f3769])). 22.39/3.18 tff(f3755,plain,( 22.39/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | (~spl30_9 | ~spl30_127)), 22.39/3.18 inference(superposition,[],[f710,f1394])). 22.39/3.18 tff(f710,plain,( 22.39/3.18 ( ! [X1:$int] : (~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1(X1))),0) | ~is_index1(X1)) ) | ~spl30_9), 22.39/3.18 inference(resolution,[],[f693,f351])). 22.39/3.18 tff(f693,plain,( 22.39/3.18 valid_values1(sK13) | ~spl30_9), 22.39/3.18 inference(avatar_component_clause,[],[f601])). 22.39/3.18 tff(f3780,plain,( 22.39/3.18 ~spl30_384 | spl30_386 | spl30_124 | spl30_123 | ~spl30_127), 22.39/3.18 inference(avatar_split_clause,[],[f3776,f1393,f1369,f1375,f3778,f3769])). 22.39/3.18 tff(f3776,plain,( 22.39/3.18 ( ! [X7:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~included1(sK13,X7)) ) | ~spl30_127), 22.39/3.18 inference(forward_demodulation,[],[f3775,f1394])). 22.39/3.18 tff(f3775,plain,( 22.39/3.18 ( ! [X7:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_127), 22.39/3.18 inference(forward_demodulation,[],[f3753,f1394])). 22.39/3.19 tff(f3753,plain,( 22.39/3.19 ( ! [X7:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_127), 22.39/3.19 inference(superposition,[],[f1394,f393])). 22.39/3.19 tff(f3774,plain,( 22.39/3.19 ~spl30_384 | spl30_385 | ~spl30_127), 22.39/3.19 inference(avatar_split_clause,[],[f3752,f1393,f3772,f3769])). 22.39/3.19 tff(f3752,plain,( 22.39/3.19 ( ! [X6:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(X6,sK13)) ) | ~spl30_127), 22.39/3.19 inference(superposition,[],[f1394,f393])). 22.39/3.19 tff(f3749,plain,( 22.39/3.19 spl30_383 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3745,f1320,f3747])). 22.39/3.19 tff(f3747,plain,( 22.39/3.19 spl30_383 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_383])])). 22.39/3.19 tff(f3745,plain,( 22.39/3.19 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~spl30_117), 22.39/3.19 inference(forward_demodulation,[],[f3722,f338])). 22.39/3.19 tff(f3722,plain,( 22.39/3.19 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = t2tb1(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f338,f1321])). 22.39/3.19 tff(f3744,plain,( 22.39/3.19 spl30_113 | ~spl30_379 | spl30_381 | spl30_114 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3719,f1320,f1302,f3733,f3724,f1296])). 22.39/3.19 tff(f3724,plain,( 22.39/3.19 spl30_379 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_379])])). 22.39/3.19 tff(f3733,plain,( 22.39/3.19 spl30_381 <=> ! [X7 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(sK13,X7))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_381])])). 22.39/3.19 tff(f3719,plain,( 22.39/3.19 ( ! [X3:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X3),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X3)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f393,f1321])). 22.39/3.19 tff(f3743,plain,( 22.39/3.19 spl30_114 | ~spl30_379 | spl30_381 | spl30_113 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3718,f1320,f1296,f3733,f3724,f1302])). 22.39/3.19 tff(f3718,plain,( 22.39/3.19 ( ! [X2:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~included1(sK13,X2)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f393,f1321])). 22.39/3.19 tff(f3742,plain,( 22.39/3.19 ~spl30_379 | spl30_380 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3717,f1320,f3727,f3724])). 22.39/3.19 tff(f3727,plain,( 22.39/3.19 spl30_380 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(X6,sK13) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_380])])). 22.39/3.19 tff(f3717,plain,( 22.39/3.19 ( ! [X1:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(X1,sK13)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f393,f1321])). 22.39/3.19 tff(f3741,plain,( 22.39/3.19 spl30_113 | spl30_114 | ~spl30_379 | spl30_381 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3716,f1320,f3733,f3724,f1302,f1296])). 22.39/3.19 tff(f3716,plain,( 22.39/3.19 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X0)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f393,f1321])). 22.39/3.19 tff(f3740,plain,( 22.39/3.19 ~spl30_9 | ~spl30_379 | ~spl30_382 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3713,f1320,f3737,f3724,f601])). 22.39/3.19 tff(f3737,plain,( 22.39/3.19 spl30_382 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),0)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_382])])). 22.39/3.19 tff(f3713,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~valid_values1(sK13) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f351,f1321])). 22.39/3.19 tff(f3739,plain,( 22.39/3.19 ~spl30_379 | ~spl30_382 | ~spl30_9 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3710,f1320,f601,f3737,f3724])). 22.39/3.19 tff(f3710,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | (~spl30_9 | ~spl30_117)), 22.39/3.19 inference(superposition,[],[f710,f1321])). 22.39/3.19 tff(f3735,plain,( 22.39/3.19 ~spl30_379 | spl30_381 | spl30_114 | spl30_113 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3731,f1320,f1296,f1302,f3733,f3724])). 22.39/3.19 tff(f3731,plain,( 22.39/3.19 ( ! [X7:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~included1(sK13,X7)) ) | ~spl30_117), 22.39/3.19 inference(forward_demodulation,[],[f3730,f1321])). 22.39/3.19 tff(f3730,plain,( 22.39/3.19 ( ! [X7:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_117), 22.39/3.19 inference(forward_demodulation,[],[f3708,f1321])). 22.39/3.19 tff(f3708,plain,( 22.39/3.19 ( ! [X7:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f1321,f393])). 22.39/3.19 tff(f3729,plain,( 22.39/3.19 ~spl30_379 | spl30_380 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3707,f1320,f3727,f3724])). 22.39/3.19 tff(f3707,plain,( 22.39/3.19 ( ! [X6:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(X6,sK13)) ) | ~spl30_117), 22.39/3.19 inference(superposition,[],[f1321,f393])). 22.39/3.19 tff(f3673,plain,( 22.39/3.19 spl30_123 | spl30_124 | ~spl30_376 | spl30_378 | spl30_123), 22.39/3.19 inference(avatar_split_clause,[],[f3659,f1369,f3671,f3662,f1375,f1369])). 22.39/3.19 tff(f3662,plain,( 22.39/3.19 spl30_376 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_376])])). 22.39/3.19 tff(f3671,plain,( 22.39/3.19 spl30_378 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_378])])). 22.39/3.19 tff(f3659,plain,( 22.39/3.19 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | spl30_123), 22.39/3.19 inference(superposition,[],[f1370,f393])). 22.39/3.19 tff(f3667,plain,( 22.39/3.19 spl30_124 | ~spl30_376 | spl30_377 | spl30_123), 22.39/3.19 inference(avatar_split_clause,[],[f3653,f1369,f3665,f3662,f1375])). 22.39/3.19 tff(f3665,plain,( 22.39/3.19 spl30_377 <=> ! [X0 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~included1(sK13,X0))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_377])])). 22.39/3.19 tff(f3653,plain,( 22.39/3.19 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~included1(sK13,X0)) ) | spl30_123), 22.39/3.19 inference(resolution,[],[f1370,f393])). 22.39/3.19 tff(f3650,plain,( 22.39/3.19 spl30_113 | spl30_114 | ~spl30_373 | spl30_375 | spl30_113), 22.39/3.19 inference(avatar_split_clause,[],[f3636,f1296,f3648,f3639,f1302,f1296])). 22.39/3.19 tff(f3639,plain,( 22.39/3.19 spl30_373 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_373])])). 22.39/3.19 tff(f3648,plain,( 22.39/3.19 spl30_375 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_375])])). 22.39/3.19 tff(f3636,plain,( 22.39/3.19 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | spl30_113), 22.39/3.19 inference(superposition,[],[f1297,f393])). 22.39/3.19 tff(f3644,plain,( 22.39/3.19 spl30_114 | ~spl30_373 | spl30_374 | spl30_113), 22.39/3.19 inference(avatar_split_clause,[],[f3630,f1296,f3642,f3639,f1302])). 22.39/3.19 tff(f3642,plain,( 22.39/3.19 spl30_374 <=> ! [X0 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(sK13,X0))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_374])])). 22.39/3.19 tff(f3630,plain,( 22.39/3.19 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~included1(sK13,X0)) ) | spl30_113), 22.39/3.19 inference(resolution,[],[f1297,f393])). 22.39/3.19 tff(f3619,plain,( 22.39/3.19 ~spl30_8 | ~spl30_4 | spl30_372 | ~spl30_349), 22.39/3.19 inference(avatar_split_clause,[],[f3605,f3315,f3617,f586,f598])). 22.39/3.19 tff(f3617,plain,( 22.39/3.19 spl30_372 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~included1(sK13,X0) | ~included1(X0,X1) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_372])])). 22.39/3.19 tff(f3605,plain,( 22.39/3.19 ( ! [X0:map_int_int,X1:map_int_int] : (~included1(sK13,X0) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(X0,X1)) ) | ~spl30_349), 22.39/3.19 inference(resolution,[],[f3316,f367])). 22.39/3.19 tff(f3594,plain,( 22.39/3.19 ~spl30_8 | ~spl30_3 | spl30_371 | ~spl30_348), 22.39/3.19 inference(avatar_split_clause,[],[f3580,f3308,f3592,f583,f598])). 22.39/3.19 tff(f3592,plain,( 22.39/3.19 spl30_371 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~included1(sK13,X0) | ~included1(X0,X1) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_371])])). 22.39/3.19 tff(f3580,plain,( 22.39/3.19 ( ! [X0:map_int_int,X1:map_int_int] : (~included1(sK13,X0) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(X0,X1)) ) | ~spl30_348), 22.39/3.19 inference(resolution,[],[f3309,f367])). 22.39/3.19 tff(f3569,plain,( 22.39/3.19 ~spl30_8 | ~spl30_6 | spl30_370 | ~spl30_143), 22.39/3.19 inference(avatar_split_clause,[],[f3555,f1511,f3567,f592,f598])). 22.39/3.19 tff(f3567,plain,( 22.39/3.19 spl30_370 <=> ! [X1 : map_int_int,X0 : map_int_int] : (~included1(sK13,X0) | ~included1(X0,X1) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_370])])). 22.39/3.19 tff(f3555,plain,( 22.39/3.19 ( ! [X0:map_int_int,X1:map_int_int] : (~included1(sK13,X0) | ~valid_chunk1(X1,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(X0,X1)) ) | ~spl30_143), 22.39/3.19 inference(resolution,[],[f1512,f367])). 22.39/3.19 tff(f3554,plain,( 22.39/3.19 spl30_367 | spl30_369 | spl30_119), 22.39/3.19 inference(avatar_split_clause,[],[f3529,f1351,f3552,f3545])). 22.39/3.19 tff(f3545,plain,( 22.39/3.19 spl30_367 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_367])])). 22.39/3.19 tff(f3552,plain,( 22.39/3.19 spl30_369 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_369])])). 22.39/3.19 tff(f3529,plain,( 22.39/3.19 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | spl30_119), 22.39/3.19 inference(resolution,[],[f1352,f427])). 22.39/3.19 tff(f3550,plain,( 22.39/3.19 spl30_367 | spl30_368 | spl30_119), 22.39/3.19 inference(avatar_split_clause,[],[f3528,f1351,f3548,f3545])). 22.39/3.19 tff(f3548,plain,( 22.39/3.19 spl30_368 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_368])])). 22.39/3.19 tff(f3528,plain,( 22.39/3.19 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_119), 22.39/3.19 inference(resolution,[],[f1352,f427])). 22.39/3.19 tff(f3543,plain,( 22.39/3.19 ~spl30_365 | spl30_366 | spl30_119), 22.39/3.19 inference(avatar_split_clause,[],[f3522,f1351,f3541,f3538])). 22.39/3.19 tff(f3538,plain,( 22.39/3.19 spl30_365 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_365])])). 22.39/3.19 tff(f3522,plain,( 22.39/3.19 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | spl30_119), 22.39/3.19 inference(resolution,[],[f1352,f349])). 22.39/3.19 tff(f3521,plain,( 22.39/3.19 spl30_362 | spl30_364 | spl30_118), 22.39/3.19 inference(avatar_split_clause,[],[f3496,f1347,f3519,f3512])). 22.39/3.19 tff(f3512,plain,( 22.39/3.19 spl30_362 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_362])])). 22.39/3.19 tff(f3519,plain,( 22.39/3.19 spl30_364 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_364])])). 22.39/3.19 tff(f3496,plain,( 22.39/3.19 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | spl30_118), 22.39/3.19 inference(resolution,[],[f1348,f427])). 22.39/3.19 tff(f3517,plain,( 22.39/3.19 spl30_362 | spl30_363 | spl30_118), 22.39/3.19 inference(avatar_split_clause,[],[f3495,f1347,f3515,f3512])). 22.39/3.19 tff(f3515,plain,( 22.39/3.19 spl30_363 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_363])])). 22.39/3.19 tff(f3495,plain,( 22.39/3.19 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_118), 22.39/3.19 inference(resolution,[],[f1348,f427])). 22.39/3.19 tff(f3510,plain,( 22.39/3.19 ~spl30_360 | spl30_361 | spl30_118), 22.39/3.19 inference(avatar_split_clause,[],[f3489,f1347,f3508,f3505])). 22.39/3.19 tff(f3505,plain,( 22.39/3.19 spl30_360 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_360])])). 22.39/3.19 tff(f3489,plain,( 22.39/3.19 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | spl30_118), 22.39/3.19 inference(resolution,[],[f1348,f349])). 22.39/3.19 tff(f3488,plain,( 22.39/3.19 spl30_357 | spl30_359 | spl30_109), 22.39/3.19 inference(avatar_split_clause,[],[f3463,f1278,f3486,f3479])). 22.39/3.19 tff(f3479,plain,( 22.39/3.19 spl30_357 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_357])])). 22.39/3.19 tff(f3486,plain,( 22.39/3.19 spl30_359 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_359])])). 22.39/3.19 tff(f3463,plain,( 22.39/3.19 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))) ) | spl30_109), 22.39/3.19 inference(resolution,[],[f1279,f427])). 22.39/3.19 tff(f3484,plain,( 22.39/3.19 spl30_357 | spl30_358 | spl30_109), 22.39/3.19 inference(avatar_split_clause,[],[f3462,f1278,f3482,f3479])). 22.39/3.19 tff(f3482,plain,( 22.39/3.19 spl30_358 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_358])])). 22.39/3.19 tff(f3462,plain,( 22.39/3.19 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_109), 22.39/3.19 inference(resolution,[],[f1279,f427])). 22.39/3.19 tff(f3477,plain,( 22.39/3.19 ~spl30_355 | spl30_356 | spl30_109), 22.39/3.19 inference(avatar_split_clause,[],[f3456,f1278,f3475,f3472])). 22.39/3.19 tff(f3472,plain,( 22.39/3.19 spl30_355 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_355])])). 22.39/3.19 tff(f3456,plain,( 22.39/3.19 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | spl30_109), 22.39/3.19 inference(resolution,[],[f1279,f349])). 22.39/3.19 tff(f3455,plain,( 22.39/3.19 spl30_352 | spl30_354 | spl30_108), 22.39/3.19 inference(avatar_split_clause,[],[f3430,f1274,f3453,f3446])). 22.39/3.19 tff(f3446,plain,( 22.39/3.19 spl30_352 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_352])])). 22.39/3.19 tff(f3453,plain,( 22.39/3.19 spl30_354 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_354])])). 22.39/3.19 tff(f3430,plain,( 22.39/3.19 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))) ) | spl30_108), 22.39/3.19 inference(resolution,[],[f1275,f427])). 22.39/3.19 tff(f3451,plain,( 22.39/3.19 spl30_352 | spl30_353 | spl30_108), 22.39/3.19 inference(avatar_split_clause,[],[f3429,f1274,f3449,f3446])). 22.39/3.19 tff(f3449,plain,( 22.39/3.19 spl30_353 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_353])])). 22.39/3.19 tff(f3429,plain,( 22.39/3.19 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_108), 22.39/3.19 inference(resolution,[],[f1275,f427])). 22.39/3.19 tff(f3444,plain,( 22.39/3.19 ~spl30_350 | spl30_351 | spl30_108), 22.39/3.19 inference(avatar_split_clause,[],[f3423,f1274,f3442,f3439])). 22.39/3.19 tff(f3439,plain,( 22.39/3.19 spl30_350 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_350])])). 22.39/3.19 tff(f3423,plain,( 22.39/3.19 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | spl30_108), 22.39/3.19 inference(resolution,[],[f1275,f349])). 22.39/3.19 tff(f3317,plain,( 22.39/3.19 ~spl30_8 | ~spl30_4 | spl30_349 | spl30_11), 22.39/3.19 inference(avatar_split_clause,[],[f1335,f610,f3315,f586,f598])). 22.39/3.19 tff(f1335,plain,( 22.39/3.19 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(sK13,X0)) ) | spl30_11), 22.39/3.19 inference(resolution,[],[f636,f367])). 22.39/3.19 tff(f3310,plain,( 22.39/3.19 ~spl30_8 | ~spl30_3 | spl30_348 | spl30_13), 22.39/3.19 inference(avatar_split_clause,[],[f1262,f624,f3308,f583,f598])). 22.39/3.19 tff(f1262,plain,( 22.39/3.19 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(sK13,X0)) ) | spl30_13), 22.39/3.19 inference(resolution,[],[f627,f367])). 22.39/3.19 tff(f3305,plain,( 22.39/3.19 ~spl30_113 | spl30_116 | ~spl30_117), 22.39/3.19 inference(avatar_split_clause,[],[f3304,f1320,f1314,f1296])). 22.39/3.19 tff(f1314,plain,( 22.39/3.19 spl30_116 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 22.39/3.19 tff(f3304,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | (spl30_116 | ~spl30_117)), 22.39/3.19 inference(forward_demodulation,[],[f1315,f1321])). 22.39/3.19 tff(f1315,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_116), 22.39/3.19 inference(avatar_component_clause,[],[f1314])). 22.39/3.19 tff(f3303,plain,( 22.39/3.19 ~spl30_123 | spl30_126 | ~spl30_127), 22.39/3.19 inference(avatar_split_clause,[],[f3302,f1393,f1387,f1369])). 22.39/3.19 tff(f1387,plain,( 22.39/3.19 spl30_126 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_126])])). 22.39/3.19 tff(f3302,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | (spl30_126 | ~spl30_127)), 22.39/3.19 inference(forward_demodulation,[],[f1388,f1394])). 22.39/3.19 tff(f1388,plain,( 22.39/3.19 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_126), 22.39/3.19 inference(avatar_component_clause,[],[f1387])). 22.39/3.19 tff(f3301,plain,( 22.39/3.19 ~spl30_343 | spl30_157 | ~spl30_14 | spl30_158), 22.39/3.19 inference(avatar_split_clause,[],[f3244,f1598,f644,f1594,f3249])). 22.39/3.19 tff(f3249,plain,( 22.39/3.19 spl30_343 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),sK14)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_343])])). 22.39/3.19 tff(f1594,plain,( 22.39/3.19 spl30_157 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0)), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_157])])). 22.39/3.19 tff(f3244,plain,( 22.39/3.19 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),sK14) | (~spl30_14 | spl30_158)), 22.39/3.19 inference(resolution,[],[f1599,f2828])). 22.39/3.19 tff(f2828,plain,( 22.39/3.19 ( ! [X0:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0) | $less(X0,0) | ~$less(X0,sK14)) ) | ~spl30_14), 22.39/3.19 inference(resolution,[],[f645,f419])). 22.39/3.19 tff(f3300,plain,( 22.39/3.19 spl30_344 | spl30_157 | spl30_158), 22.39/3.19 inference(avatar_split_clause,[],[f3245,f1598,f1594,f3253])). 22.39/3.19 tff(f3253,plain,( 22.39/3.19 spl30_344 <=> ! [X0 : $int] : (~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_344])])). 22.39/3.19 tff(f3245,plain,( 22.39/3.19 ( ! [X0:$int] : ($less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_158), 22.39/3.19 inference(resolution,[],[f1599,f419])). 22.39/3.19 tff(f3299,plain,( 22.39/3.19 ~spl30_7 | ~spl30_270 | spl30_158), 22.39/3.19 inference(avatar_split_clause,[],[f3247,f1598,f2718,f595])). 22.39/3.19 tff(f2718,plain,( 22.39/3.19 spl30_270 <=> is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_270])])). 22.39/3.19 tff(f3247,plain,( 22.39/3.19 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_158), 22.39/3.19 inference(resolution,[],[f1599,f387])). 22.39/3.19 tff(f3298,plain,( 22.39/3.19 ~spl30_343 | spl30_157 | ~spl30_14 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3264,f1601,f644,f1594,f3249])). 22.39/3.19 tff(f3264,plain,( 22.39/3.19 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),sK14) | (~spl30_14 | spl30_159)), 22.39/3.19 inference(resolution,[],[f1602,f2829])). 22.39/3.19 tff(f2829,plain,( 22.39/3.19 ( ! [X1:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X1) | $less(X1,0) | ~$less(X1,sK14)) ) | ~spl30_14), 22.39/3.19 inference(resolution,[],[f645,f420])). 22.39/3.19 tff(f3297,plain,( 22.39/3.19 spl30_344 | spl30_157 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3265,f1601,f1594,f3253])). 22.39/3.19 tff(f3265,plain,( 22.39/3.19 ( ! [X0:$int] : ($less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_159), 22.39/3.19 inference(resolution,[],[f1602,f420])). 22.39/3.19 tff(f3296,plain,( 22.39/3.19 ~spl30_7 | ~spl30_270 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3267,f1601,f2718,f595])). 22.39/3.19 tff(f3267,plain,( 22.39/3.19 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_159), 22.39/3.19 inference(resolution,[],[f1602,f386])). 22.39/3.19 tff(f3295,plain,( 22.39/3.19 ~spl30_7 | ~spl30_132 | spl30_134), 22.39/3.19 inference(avatar_split_clause,[],[f2810,f1469,f1462,f595])). 22.39/3.19 tff(f1462,plain,( 22.39/3.19 spl30_132 <=> is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 22.39/3.19 tff(f2810,plain,( 22.39/3.19 ~is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_134), 22.39/3.19 inference(resolution,[],[f1470,f387])). 22.39/3.19 tff(f3294,plain,( 22.39/3.19 ~spl30_7 | ~spl30_132 | spl30_133), 22.39/3.19 inference(avatar_split_clause,[],[f2790,f1466,f1462,f595])). 22.39/3.19 tff(f2790,plain,( 22.39/3.19 ~is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_133), 22.39/3.19 inference(resolution,[],[f1467,f386])). 22.39/3.19 tff(f3293,plain,( 22.39/3.19 ~spl30_7 | ~spl30_132 | spl30_133), 22.39/3.19 inference(avatar_split_clause,[],[f3129,f1466,f1462,f595])). 22.39/3.19 tff(f3129,plain,( 22.39/3.19 ~is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_133), 22.39/3.19 inference(resolution,[],[f1467,f386])). 22.39/3.19 tff(f3292,plain,( 22.39/3.19 ~spl30_7 | ~spl30_132 | spl30_134), 22.39/3.19 inference(avatar_split_clause,[],[f3141,f1469,f1462,f595])). 22.39/3.19 tff(f3141,plain,( 22.39/3.19 ~is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_134), 22.39/3.19 inference(resolution,[],[f1470,f387])). 22.39/3.19 tff(f3291,plain,( 22.39/3.19 ~spl30_7 | ~spl30_132 | spl30_135), 22.39/3.19 inference(avatar_split_clause,[],[f3147,f1472,f1462,f595])). 22.39/3.19 tff(f3147,plain,( 22.39/3.19 ~is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_135), 22.39/3.19 inference(resolution,[],[f1473,f388])). 22.39/3.19 tff(f3289,plain,( 22.39/3.19 ~spl30_7 | ~spl30_270 | spl30_160), 22.39/3.19 inference(avatar_split_clause,[],[f3279,f1604,f2718,f595])). 22.39/3.19 tff(f3279,plain,( 22.39/3.19 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_160), 22.39/3.19 inference(resolution,[],[f1605,f388])). 22.39/3.19 tff(f3287,plain,( 22.39/3.19 ~spl30_347 | spl30_160), 22.39/3.19 inference(avatar_split_clause,[],[f3283,f1604,f3285])). 22.39/3.19 tff(f3285,plain,( 22.39/3.19 spl30_347 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_347])])). 22.39/3.19 tff(f3283,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_160), 22.39/3.19 inference(forward_demodulation,[],[f3282,f457])). 22.39/3.19 tff(f3282,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_160), 22.39/3.19 inference(forward_demodulation,[],[f3278,f460])). 22.39/3.19 tff(f3278,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_160), 22.39/3.19 inference(resolution,[],[f1605,f406])). 22.39/3.19 tff(f406,plain,( 22.39/3.19 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) )), 22.39/3.19 inference(cnf_transformation,[],[f200])). 22.39/3.19 tff(f3281,plain,( 22.39/3.19 spl30_344 | spl30_157 | spl30_160), 22.39/3.19 inference(avatar_split_clause,[],[f3277,f1604,f1594,f3253])). 22.39/3.19 tff(f3277,plain,( 22.39/3.19 ( ! [X0:$int] : ($less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_160), 22.39/3.19 inference(resolution,[],[f1605,f421])). 22.39/3.19 tff(f3280,plain,( 22.39/3.19 ~spl30_343 | spl30_157 | ~spl30_14 | spl30_160), 22.39/3.19 inference(avatar_split_clause,[],[f3276,f1604,f644,f1594,f3249])). 22.39/3.19 tff(f3276,plain,( 22.39/3.19 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),sK14) | (~spl30_14 | spl30_160)), 22.39/3.19 inference(resolution,[],[f1605,f2830])). 22.39/3.19 tff(f2830,plain,( 22.39/3.19 ( ! [X2:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X2) | $less(X2,0) | ~$less(X2,sK14)) ) | ~spl30_14), 22.39/3.19 inference(resolution,[],[f645,f421])). 22.39/3.19 tff(f3275,plain,( 22.39/3.19 ~spl30_346 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3271,f1601,f3273])). 22.39/3.19 tff(f3273,plain,( 22.39/3.19 spl30_346 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_346])])). 22.39/3.19 tff(f3271,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_159), 22.39/3.19 inference(forward_demodulation,[],[f3270,f461])). 22.39/3.19 tff(f3270,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_159), 22.39/3.19 inference(forward_demodulation,[],[f3266,f456])). 22.39/3.19 tff(f3266,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_159), 22.39/3.19 inference(resolution,[],[f1602,f408])). 22.39/3.19 tff(f408,plain,( 22.39/3.19 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))) )), 22.39/3.19 inference(cnf_transformation,[],[f201])). 22.39/3.19 tff(f3269,plain,( 22.39/3.19 spl30_344 | spl30_157 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3265,f1601,f1594,f3253])). 22.39/3.19 tff(f3268,plain,( 22.39/3.19 ~spl30_343 | spl30_157 | ~spl30_14 | spl30_159), 22.39/3.19 inference(avatar_split_clause,[],[f3264,f1601,f644,f1594,f3249])). 22.39/3.19 tff(f3261,plain,( 22.39/3.19 ~spl30_345 | spl30_158), 22.39/3.19 inference(avatar_split_clause,[],[f3257,f1598,f3259])). 22.39/3.19 tff(f3259,plain,( 22.39/3.19 spl30_345 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.39/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_345])])). 22.39/3.19 tff(f3257,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_158), 22.39/3.19 inference(forward_demodulation,[],[f3256,f458])). 22.39/3.19 tff(f3256,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_158), 22.39/3.19 inference(forward_demodulation,[],[f3246,f459])). 22.39/3.19 tff(f3246,plain,( 22.39/3.19 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_158), 22.39/3.19 inference(resolution,[],[f1599,f410])). 22.39/3.19 tff(f410,plain,( 22.39/3.19 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))) )), 22.39/3.19 inference(cnf_transformation,[],[f202])). 22.70/3.20 tff(f3255,plain,( 22.70/3.20 spl30_344 | spl30_157 | spl30_158), 22.70/3.20 inference(avatar_split_clause,[],[f3245,f1598,f1594,f3253])). 22.70/3.20 tff(f3251,plain,( 22.70/3.20 ~spl30_343 | spl30_157 | ~spl30_14 | spl30_158), 22.70/3.20 inference(avatar_split_clause,[],[f3244,f1598,f644,f1594,f3249])). 22.70/3.20 tff(f3243,plain,( 22.70/3.20 ~spl30_23 | spl30_342 | ~spl30_23), 22.70/3.20 inference(avatar_split_clause,[],[f3237,f696,f3241,f696])). 22.70/3.20 tff(f3241,plain,( 22.70/3.20 spl30_342 <=> ! [X3 : map_int_int,X5 : map_int_int,X4 : map_int_int] : (~included1(X3,X4) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X5) | ~included1(X4,X5) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X3))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_342])])). 22.70/3.20 tff(f3237,plain,( 22.70/3.20 ( ! [X4:map_int_int,X5:map_int_int,X3:map_int_int] : (~included1(X3,X4) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X3) | ~included1(X4,X5) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X5) | ~well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | ~spl30_23), 22.70/3.20 inference(resolution,[],[f1421,f405])). 22.70/3.20 tff(f405,plain,( 22.70/3.20 ( ! [X2:map_int_int,X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)) )), 22.70/3.20 inference(cnf_transformation,[],[f151])). 22.70/3.20 tff(f151,plain,( 22.70/3.20 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0))), 22.70/3.20 inference(flattening,[],[f150])). 22.70/3.20 tff(f150,plain,( 22.70/3.20 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | (~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)))), 22.70/3.20 inference(ennf_transformation,[],[f108])). 22.70/3.20 tff(f108,plain,( 22.70/3.20 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : ((included1(X1,X2) & valid1(X0,X2) & well_formed_sudoku1(X0)) => valid1(X0,X1))), 22.70/3.20 inference(rectify,[],[f29])). 22.70/3.20 tff(f29,axiom,( 22.70/3.20 ! [X3 : sudoku_chunks1,X4 : map_int_int,X30 : map_int_int] : ((included1(X4,X30) & valid1(X3,X30) & well_formed_sudoku1(X3)) => valid1(X3,X4))), 22.70/3.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_valid)). 22.70/3.20 tff(f1421,plain,( 22.70/3.20 ( ! [X0:map_int_int,X1:map_int_int] : (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1) | ~included1(X0,X1) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X0)) ) | ~spl30_23), 22.70/3.20 inference(resolution,[],[f697,f405])). 22.70/3.20 tff(f3235,plain,( 22.70/3.20 spl30_341 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3231,f1255,f3233])). 22.70/3.20 tff(f3233,plain,( 22.70/3.20 spl30_341 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_341])])). 22.70/3.20 tff(f3231,plain,( 22.70/3.20 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~spl30_107), 22.70/3.20 inference(forward_demodulation,[],[f3208,f338])). 22.70/3.20 tff(f3208,plain,( 22.70/3.20 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) = t2tb1(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f338,f1256])). 22.70/3.20 tff(f3230,plain,( 22.70/3.20 spl30_103 | ~spl30_337 | spl30_339 | spl30_104 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3205,f1255,f1237,f3219,f3210,f1231])). 22.70/3.20 tff(f3210,plain,( 22.70/3.20 spl30_337 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_337])])). 22.70/3.20 tff(f3219,plain,( 22.70/3.20 spl30_339 <=> ! [X7 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~included1(sK13,X7))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_339])])). 22.70/3.20 tff(f3205,plain,( 22.70/3.20 ( ! [X3:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X3),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X3)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f393,f1256])). 22.70/3.20 tff(f3229,plain,( 22.70/3.20 spl30_104 | ~spl30_337 | spl30_339 | spl30_103 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3204,f1255,f1231,f3219,f3210,f1237])). 22.70/3.20 tff(f3204,plain,( 22.70/3.20 ( ! [X2:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~included1(sK13,X2)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f393,f1256])). 22.70/3.20 tff(f3228,plain,( 22.70/3.20 ~spl30_337 | spl30_338 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3203,f1255,f3213,f3210])). 22.70/3.20 tff(f3213,plain,( 22.70/3.20 spl30_338 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~included1(X6,sK13) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_338])])). 22.70/3.20 tff(f3203,plain,( 22.70/3.20 ( ! [X1:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(X1,sK13)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f393,f1256])). 22.70/3.20 tff(f3227,plain,( 22.70/3.20 spl30_103 | spl30_104 | ~spl30_337 | spl30_339 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3202,f1255,f3219,f3210,f1237,f1231])). 22.70/3.20 tff(f3202,plain,( 22.70/3.20 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X0)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f393,f1256])). 22.70/3.20 tff(f3226,plain,( 22.70/3.20 ~spl30_9 | ~spl30_337 | ~spl30_340 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3199,f1255,f3223,f3210,f601])). 22.70/3.20 tff(f3223,plain,( 22.70/3.20 spl30_340 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),0)), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_340])])). 22.70/3.20 tff(f3199,plain,( 22.70/3.20 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~valid_values1(sK13) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f351,f1256])). 22.70/3.20 tff(f3225,plain,( 22.70/3.20 ~spl30_337 | ~spl30_340 | ~spl30_9 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3196,f1255,f601,f3223,f3210])). 22.70/3.20 tff(f3196,plain,( 22.70/3.20 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),0) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | (~spl30_9 | ~spl30_107)), 22.70/3.20 inference(superposition,[],[f710,f1256])). 22.70/3.20 tff(f3221,plain,( 22.70/3.20 ~spl30_337 | spl30_339 | spl30_104 | spl30_103 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3217,f1255,f1231,f1237,f3219,f3210])). 22.70/3.20 tff(f3217,plain,( 22.70/3.20 ( ! [X7:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~included1(sK13,X7)) ) | ~spl30_107), 22.70/3.20 inference(forward_demodulation,[],[f3216,f1256])). 22.70/3.20 tff(f3216,plain,( 22.70/3.20 ( ! [X7:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_107), 22.70/3.20 inference(forward_demodulation,[],[f3195,f1256])). 22.70/3.20 tff(f3195,plain,( 22.70/3.20 ( ! [X7:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f1256,f393])). 22.70/3.20 tff(f3215,plain,( 22.70/3.20 ~spl30_337 | spl30_338 | ~spl30_107), 22.70/3.20 inference(avatar_split_clause,[],[f3194,f1255,f3213,f3210])). 22.70/3.20 tff(f3194,plain,( 22.70/3.20 ( ! [X6:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(X6,sK13)) ) | ~spl30_107), 22.70/3.20 inference(superposition,[],[f1256,f393])). 22.70/3.20 tff(f3191,plain,( 22.70/3.20 ~spl30_336 | spl30_142), 22.70/3.20 inference(avatar_split_clause,[],[f3187,f1507,f3189])). 22.70/3.20 tff(f3189,plain,( 22.70/3.20 spl30_336 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_336])])). 22.70/3.20 tff(f3187,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_142), 22.70/3.20 inference(forward_demodulation,[],[f3186,f457])). 22.70/3.20 tff(f3186,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_142), 22.70/3.20 inference(forward_demodulation,[],[f3184,f460])). 22.70/3.20 tff(f3184,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_142), 22.70/3.20 inference(resolution,[],[f1508,f406])). 22.70/3.20 tff(f3181,plain,( 22.70/3.20 ~spl30_335 | spl30_141), 22.70/3.20 inference(avatar_split_clause,[],[f3177,f1504,f3179])). 22.70/3.20 tff(f3179,plain,( 22.70/3.20 spl30_335 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_335])])). 22.70/3.20 tff(f3177,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_141), 22.70/3.20 inference(forward_demodulation,[],[f3176,f461])). 22.70/3.20 tff(f3176,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_141), 22.70/3.20 inference(forward_demodulation,[],[f3174,f456])). 22.70/3.20 tff(f3174,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_141), 22.70/3.20 inference(resolution,[],[f1505,f408])). 22.70/3.20 tff(f3171,plain,( 22.70/3.20 ~spl30_334 | spl30_140), 22.70/3.20 inference(avatar_split_clause,[],[f3167,f1501,f3169])). 22.70/3.20 tff(f3169,plain,( 22.70/3.20 spl30_334 <=> valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_334])])). 22.70/3.20 tff(f3167,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_140), 22.70/3.20 inference(forward_demodulation,[],[f3166,f458])). 22.70/3.20 tff(f3166,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_140), 22.70/3.20 inference(forward_demodulation,[],[f3156,f459])). 22.70/3.20 tff(f3156,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_140), 22.70/3.20 inference(resolution,[],[f1502,f410])). 22.70/3.20 tff(f3165,plain,( 22.70/3.20 spl30_333 | spl30_139 | spl30_140), 22.70/3.20 inference(avatar_split_clause,[],[f3155,f1501,f1495,f3163])). 22.70/3.20 tff(f3163,plain,( 22.70/3.20 spl30_333 <=> ! [X0 : $int] : (~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_333])])). 22.70/3.20 tff(f3155,plain,( 22.70/3.20 ( ! [X0:$int] : ($less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_140), 22.70/3.20 inference(resolution,[],[f1502,f419])). 22.70/3.20 tff(f3161,plain,( 22.70/3.20 ~spl30_332 | spl30_139 | ~spl30_14 | spl30_140), 22.70/3.20 inference(avatar_split_clause,[],[f3154,f1501,f644,f1495,f3159])). 22.70/3.20 tff(f3159,plain,( 22.70/3.20 spl30_332 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),sK14)), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_332])])). 22.70/3.20 tff(f3154,plain,( 22.70/3.20 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),sK14) | (~spl30_14 | spl30_140)), 22.70/3.20 inference(resolution,[],[f1502,f2828])). 22.70/3.20 tff(f3153,plain,( 22.70/3.20 ~spl30_331 | spl30_135), 22.70/3.20 inference(avatar_split_clause,[],[f3149,f1472,f3151])). 22.70/3.20 tff(f3151,plain,( 22.70/3.20 spl30_331 <=> valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_331])])). 22.70/3.20 tff(f3149,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_135), 22.70/3.20 inference(forward_demodulation,[],[f3148,f457])). 22.70/3.20 tff(f3148,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_135), 22.70/3.20 inference(forward_demodulation,[],[f3146,f460])). 22.70/3.20 tff(f3146,plain,( 22.70/3.20 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_135), 22.70/3.20 inference(resolution,[],[f1473,f406])). 22.70/3.20 tff(f3133,plain,( 22.70/3.20 ~spl30_330 | spl30_256 | ~spl30_14 | spl30_133), 22.70/3.20 inference(avatar_split_clause,[],[f3126,f1466,f644,f2584,f3131])). 22.70/3.20 tff(f3131,plain,( 22.70/3.20 spl30_330 <=> $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),sK14)), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_330])])). 22.70/3.20 tff(f2584,plain,( 22.70/3.20 spl30_256 <=> $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0)), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_256])])). 22.70/3.20 tff(f3126,plain,( 22.70/3.20 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),sK14) | (~spl30_14 | spl30_133)), 22.70/3.20 inference(resolution,[],[f1467,f2829])). 22.70/3.20 tff(f3110,plain,( 22.70/3.20 ~spl30_323 | spl30_329 | spl30_139), 22.70/3.20 inference(avatar_split_clause,[],[f3076,f1495,f3108,f3085])). 22.70/3.20 tff(f3085,plain,( 22.70/3.20 spl30_323 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9)), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_323])])). 22.70/3.20 tff(f3108,plain,( 22.70/3.20 spl30_329 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))), 22.70/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_329])])). 22.70/3.20 tff(f3076,plain,( 22.70/3.20 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~is_index1(X43) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | ~disjoint_chunks1(X42,X44)) ) | spl30_139), 22.70/3.20 inference(resolution,[],[f1498,f463])). 22.70/3.20 tff(f3106,plain,( 22.70/3.20 ~spl30_323 | spl30_328 | spl30_139), 22.70/3.20 inference(avatar_split_clause,[],[f3073,f1495,f3103,f3085])). 22.70/3.21 tff(f3103,plain,( 22.70/3.21 spl30_328 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_328])])). 22.70/3.21 tff(f3073,plain,( 22.70/3.21 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X29 | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f442])). 22.70/3.21 tff(f3105,plain,( 22.70/3.21 ~spl30_323 | spl30_328 | spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f3072,f1495,f3103,f3085])). 22.70/3.21 tff(f3072,plain,( 22.70/3.21 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))),1) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f442])). 22.70/3.21 tff(f3101,plain,( 22.70/3.21 spl30_325 | spl30_327 | spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f3071,f1495,f3099,f3092])). 22.70/3.21 tff(f3092,plain,( 22.70/3.21 spl30_325 <=> $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_325])])). 22.70/3.21 tff(f3099,plain,( 22.70/3.21 spl30_327 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_327])])). 22.70/3.21 tff(f3071,plain,( 22.70/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))) ) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f427])). 22.70/3.21 tff(f3097,plain,( 22.70/3.21 spl30_325 | spl30_326 | spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f3070,f1495,f3095,f3092])). 22.70/3.21 tff(f3095,plain,( 22.70/3.21 spl30_326 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_326])])). 22.70/3.21 tff(f3070,plain,( 22.70/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f427])). 22.70/3.21 tff(f3090,plain,( 22.70/3.21 ~spl30_323 | spl30_324 | spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f3065,f1495,f3088,f3085])). 22.70/3.21 tff(f3088,plain,( 22.70/3.21 spl30_324 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_324])])). 22.70/3.21 tff(f3065,plain,( 22.70/3.21 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~is_index1(X1) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f378])). 22.70/3.21 tff(f3083,plain,( 22.70/3.21 ~spl30_322 | spl30_262 | spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f3064,f1495,f2669,f3080])). 22.70/3.21 tff(f3080,plain,( 22.70/3.21 spl30_322 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_322])])). 22.70/3.21 tff(f2669,plain,( 22.70/3.21 spl30_262 <=> is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_262])])). 22.70/3.21 tff(f3064,plain,( 22.70/3.21 is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),81) | spl30_139), 22.70/3.21 inference(resolution,[],[f1498,f349])). 22.70/3.21 tff(f3062,plain,( 22.70/3.21 spl30_16 | spl30_148 | spl30_320 | spl30_321 | spl30_15), 22.70/3.21 inference(avatar_split_clause,[],[f3055,f652,f3060,f3057,f1546,f660])). 22.70/3.21 tff(f1546,plain,( 22.70/3.21 spl30_148 <=> $less(81,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_148])])). 22.70/3.21 tff(f3057,plain,( 22.70/3.21 spl30_320 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(80))) = tb2t1(get(int,int,t2tb(X11),t2tb1(80))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_320])])). 22.70/3.21 tff(f652,plain,( 22.70/3.21 spl30_15 <=> $less(80,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 22.70/3.21 tff(f3055,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(80,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(80))) = tb2t1(get(int,int,t2tb(X11),t2tb1(80))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,sK14) | $less(sK14,0)) ) | spl30_15), 22.70/3.21 inference(resolution,[],[f711,f427])). 22.70/3.21 tff(f711,plain,( 22.70/3.21 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (~grid_eq_sub1(X0,X1,sK14,X2) | ~$less(80,X2) | tb2t1(get(int,int,t2tb(X0),t2tb1(80))) = tb2t1(get(int,int,t2tb(X1),t2tb1(80)))) ) | spl30_15), 22.70/3.21 inference(resolution,[],[f653,f431])). 22.70/3.21 tff(f431,plain,( 22.70/3.21 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | ~$less(X4,X3) | $less(X4,X2) | ~grid_eq_sub1(X0,X1,X2,X3)) )), 22.70/3.21 inference(cnf_transformation,[],[f212])). 22.70/3.21 tff(f212,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((! [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | ~$less(X4,X3) | $less(X4,X2)) | ~grid_eq_sub1(X0,X1,X2,X3)) & (grid_eq_sub1(X0,X1,X2,X3) | (tb2t1(get(int,int,t2tb(X0),t2tb1(sK25(X0,X1,X2,X3)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK25(X0,X1,X2,X3)))) & $less(sK25(X0,X1,X2,X3),X3) & ~$less(sK25(X0,X1,X2,X3),X2))))), 22.70/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f210,f211])). 22.70/3.21 tff(f211,plain,( 22.70/3.21 ! [X3 : $int,X2 : $int,X1 : map_int_int,X0 : map_int_int] : (? [X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X5))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X5))) & $less(X5,X3) & ~$less(X5,X2)) => (tb2t1(get(int,int,t2tb(X0),t2tb1(sK25(X0,X1,X2,X3)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK25(X0,X1,X2,X3)))) & $less(sK25(X0,X1,X2,X3),X3) & ~$less(sK25(X0,X1,X2,X3),X2)))), 22.70/3.21 introduced(choice_axiom,[])). 22.70/3.21 tff(f210,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((! [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | ~$less(X4,X3) | $less(X4,X2)) | ~grid_eq_sub1(X0,X1,X2,X3)) & (grid_eq_sub1(X0,X1,X2,X3) | ? [X5 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X5))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X5))) & $less(X5,X3) & ~$less(X5,X2))))), 22.70/3.21 inference(rectify,[],[f209])). 22.70/3.21 tff(f209,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((! [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | ~$less(X4,X3) | $less(X4,X2)) | ~grid_eq_sub1(X0,X1,X2,X3)) & (grid_eq_sub1(X0,X1,X2,X3) | ? [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) & $less(X4,X3) & ~$less(X4,X2))))), 22.70/3.21 inference(nnf_transformation,[],[f158])). 22.70/3.21 tff(f158,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (! [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | ~$less(X4,X3) | $less(X4,X2)) <=> grid_eq_sub1(X0,X1,X2,X3))), 22.70/3.21 inference(flattening,[],[f157])). 22.70/3.21 tff(f157,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (! [X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4))) | (~$less(X4,X3) | $less(X4,X2))) <=> grid_eq_sub1(X0,X1,X2,X3))), 22.70/3.21 inference(ennf_transformation,[],[f120])). 22.70/3.21 tff(f120,plain,( 22.70/3.21 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,X2)) => tb2t1(get(int,int,t2tb(X0),t2tb1(X4))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X4)))) <=> grid_eq_sub1(X0,X1,X2,X3))), 22.70/3.21 inference(rectify,[],[f73])). 22.70/3.21 tff(f73,plain,( 22.70/3.21 ! [X27 : map_int_int,X28 : map_int_int,X16 : $int,X23 : $int] : (! [X29 : $int] : (($less(X29,X23) & ~$less(X29,X16)) => tb2t1(get(int,int,t2tb(X27),t2tb1(X29))) = tb2t1(get(int,int,t2tb(X28),t2tb1(X29)))) <=> grid_eq_sub1(X27,X28,X16,X23))), 22.70/3.21 inference(theory_normalization,[],[f22])). 22.70/3.21 tff(f22,axiom,( 22.70/3.21 ! [X27 : map_int_int,X28 : map_int_int,X16 : $int,X23 : $int] : (! [X29 : $int] : (($less(X29,X23) & $lesseq(X16,X29)) => tb2t1(get(int,int,t2tb(X27),t2tb1(X29))) = tb2t1(get(int,int,t2tb(X28),t2tb1(X29)))) <=> grid_eq_sub1(X27,X28,X16,X23))), 22.70/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',grid_eq_sub_def)). 22.70/3.21 tff(f653,plain,( 22.70/3.21 ~$less(80,sK14) | spl30_15), 22.70/3.21 inference(avatar_component_clause,[],[f652])). 22.70/3.21 tff(f3051,plain,( 22.70/3.21 ~spl30_8 | ~spl30_6 | spl30_319 | ~spl30_285), 22.70/3.21 inference(avatar_split_clause,[],[f3037,f2821,f3049,f592,f598])). 22.70/3.21 tff(f3049,plain,( 22.70/3.21 spl30_319 <=> ! [X3 : map_int_int,X4 : map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,X3))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_319])])). 22.70/3.21 tff(f2821,plain,( 22.70/3.21 spl30_285 <=> ! [X2 : map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X2,sK13))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_285])])). 22.70/3.21 tff(f3037,plain,( 22.70/3.21 ( ! [X4:map_int_int,X3:map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(X4,X3)) ) | ~spl30_285), 22.70/3.21 inference(resolution,[],[f2822,f367])). 22.70/3.21 tff(f2822,plain,( 22.70/3.21 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X2,sK13)) ) | ~spl30_285), 22.70/3.21 inference(avatar_component_clause,[],[f2821])). 22.70/3.21 tff(f3035,plain,( 22.70/3.21 ~spl30_8 | ~spl30_3 | spl30_318 | ~spl30_145), 22.70/3.21 inference(avatar_split_clause,[],[f3021,f1519,f3033,f583,f598])). 22.70/3.21 tff(f3033,plain,( 22.70/3.21 spl30_318 <=> ! [X3 : map_int_int,X4 : map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,X3))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_318])])). 22.70/3.21 tff(f1519,plain,( 22.70/3.21 spl30_145 <=> ! [X2 : map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X2,sK13))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 22.70/3.21 tff(f3021,plain,( 22.70/3.21 ( ! [X4:map_int_int,X3:map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(X4,X3)) ) | ~spl30_145), 22.70/3.21 inference(resolution,[],[f1520,f367])). 22.70/3.21 tff(f1520,plain,( 22.70/3.21 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X2,sK13)) ) | ~spl30_145), 22.70/3.21 inference(avatar_component_clause,[],[f1519])). 22.70/3.21 tff(f3017,plain,( 22.70/3.21 ~spl30_8 | ~spl30_4 | spl30_317 | ~spl30_144), 22.70/3.21 inference(avatar_split_clause,[],[f3003,f1515,f3015,f586,f598])). 22.70/3.21 tff(f3015,plain,( 22.70/3.21 spl30_317 <=> ! [X3 : map_int_int,X4 : map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,X3))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_317])])). 22.70/3.21 tff(f1515,plain,( 22.70/3.21 spl30_144 <=> ! [X2 : map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X2,sK13))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_144])])). 22.70/3.21 tff(f3003,plain,( 22.70/3.21 ( ! [X4:map_int_int,X3:map_int_int] : (~included1(X3,sK13) | valid_chunk1(X4,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(X4,X3)) ) | ~spl30_144), 22.70/3.21 inference(resolution,[],[f1516,f367])). 22.70/3.21 tff(f1516,plain,( 22.70/3.21 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X2,sK13)) ) | ~spl30_144), 22.70/3.21 inference(avatar_component_clause,[],[f1515])). 22.70/3.21 tff(f2987,plain,( 22.70/3.21 spl30_25 | ~spl30_8), 22.70/3.21 inference(avatar_split_clause,[],[f2974,f598,f706])). 22.70/3.21 tff(f2974,plain,( 22.70/3.21 $less(sK14,81) | ~spl30_8), 22.70/3.21 inference(resolution,[],[f2824,f348])). 22.70/3.21 tff(f2972,plain,( 22.70/3.21 spl30_316 | ~spl30_314 | ~spl30_14 | spl30_16), 22.70/3.21 inference(avatar_split_clause,[],[f2854,f660,f644,f2962,f2970])). 22.70/3.21 tff(f2970,plain,( 22.70/3.21 spl30_316 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_316])])). 22.70/3.21 tff(f2962,plain,( 22.70/3.21 spl30_314 <=> $less(sK14,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_314])])). 22.70/3.21 tff(f2854,plain,( 22.70/3.21 ~$less(sK14,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | spl30_16)), 22.70/3.21 inference(resolution,[],[f645,f1528])). 22.70/3.21 tff(f1528,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK14,X13) | valid_column1(X11,X12,sK14)) ) | spl30_16), 22.70/3.21 inference(resolution,[],[f661,f421])). 22.70/3.21 tff(f661,plain,( 22.70/3.21 ~$less(sK14,0) | spl30_16), 22.70/3.21 inference(avatar_component_clause,[],[f660])). 22.70/3.21 tff(f2968,plain,( 22.70/3.21 spl30_315 | ~spl30_314 | ~spl30_14 | spl30_16), 22.70/3.21 inference(avatar_split_clause,[],[f2853,f660,f644,f2962,f2966])). 22.70/3.21 tff(f2966,plain,( 22.70/3.21 spl30_315 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_315])])). 22.70/3.21 tff(f2853,plain,( 22.70/3.21 ~$less(sK14,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | spl30_16)), 22.70/3.21 inference(resolution,[],[f645,f1527])). 22.70/3.21 tff(f1527,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK14,X10) | valid_row1(X8,X9,sK14)) ) | spl30_16), 22.70/3.21 inference(resolution,[],[f661,f420])). 22.70/3.21 tff(f2964,plain,( 22.70/3.21 spl30_313 | ~spl30_314 | ~spl30_14 | spl30_16), 22.70/3.21 inference(avatar_split_clause,[],[f2852,f660,f644,f2962,f2959])). 22.70/3.21 tff(f2959,plain,( 22.70/3.21 spl30_313 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_313])])). 22.70/3.21 tff(f2852,plain,( 22.70/3.21 ~$less(sK14,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_14 | spl30_16)), 22.70/3.21 inference(resolution,[],[f645,f1526])). 22.70/3.21 tff(f1526,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK14,X7) | valid_square1(X5,X6,sK14)) ) | spl30_16), 22.70/3.21 inference(resolution,[],[f661,f419])). 22.70/3.21 tff(f2957,plain,( 22.70/3.21 spl30_312 | ~spl30_310 | ~spl30_14 | spl30_24), 22.70/3.21 inference(avatar_split_clause,[],[f2851,f700,f644,f2947,f2955])). 22.70/3.21 tff(f2955,plain,( 22.70/3.21 spl30_312 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_312])])). 22.70/3.21 tff(f700,plain,( 22.70/3.21 spl30_24 <=> $less(sK10,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 22.70/3.21 tff(f2851,plain,( 22.70/3.21 ~$less(sK10,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_14 | spl30_24)), 22.70/3.21 inference(resolution,[],[f645,f1021])). 22.70/3.21 tff(f1021,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK10,X13) | valid_column1(X11,X12,sK10)) ) | spl30_24), 22.70/3.21 inference(resolution,[],[f701,f421])). 22.70/3.21 tff(f701,plain,( 22.70/3.21 ~$less(sK10,0) | spl30_24), 22.70/3.21 inference(avatar_component_clause,[],[f700])). 22.70/3.21 tff(f2953,plain,( 22.70/3.21 spl30_311 | ~spl30_310 | ~spl30_14 | spl30_24), 22.70/3.21 inference(avatar_split_clause,[],[f2850,f700,f644,f2947,f2951])). 22.70/3.21 tff(f2951,plain,( 22.70/3.21 spl30_311 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_311])])). 22.70/3.21 tff(f2850,plain,( 22.70/3.21 ~$less(sK10,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_14 | spl30_24)), 22.70/3.21 inference(resolution,[],[f645,f1020])). 22.70/3.21 tff(f1020,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK10,X10) | valid_row1(X8,X9,sK10)) ) | spl30_24), 22.70/3.21 inference(resolution,[],[f701,f420])). 22.70/3.21 tff(f2949,plain,( 22.70/3.21 spl30_309 | ~spl30_310 | ~spl30_14 | spl30_24), 22.70/3.21 inference(avatar_split_clause,[],[f2849,f700,f644,f2947,f2944])). 22.70/3.21 tff(f2944,plain,( 22.70/3.21 spl30_309 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_309])])). 22.70/3.21 tff(f2849,plain,( 22.70/3.21 ~$less(sK10,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_14 | spl30_24)), 22.70/3.21 inference(resolution,[],[f645,f1019])). 22.70/3.21 tff(f1019,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK10,X7) | valid_square1(X5,X6,sK10)) ) | spl30_24), 22.70/3.21 inference(resolution,[],[f701,f419])). 22.70/3.21 tff(f2942,plain,( 22.70/3.21 ~spl30_148 | spl30_308 | ~spl30_10 | ~spl30_14 | spl30_22), 22.70/3.21 inference(avatar_split_clause,[],[f2848,f688,f644,f604,f2940,f1546])). 22.70/3.21 tff(f2940,plain,( 22.70/3.21 spl30_308 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_308])])). 22.70/3.21 tff(f604,plain,( 22.70/3.21 spl30_10 <=> 81 = sK12), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 22.70/3.21 tff(f688,plain,( 22.70/3.21 spl30_22 <=> $less(sK12,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 22.70/3.21 tff(f2848,plain,( 22.70/3.21 valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_10 | ~spl30_14 | spl30_22)), 22.70/3.21 inference(resolution,[],[f645,f983])). 22.70/3.21 tff(f983,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | valid_column1(X11,X12,81) | ~$less(81,X13)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f982,f691])). 22.70/3.21 tff(f691,plain,( 22.70/3.21 81 = sK12 | ~spl30_10), 22.70/3.21 inference(avatar_component_clause,[],[f604])). 22.70/3.21 tff(f982,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,81) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f963,f691])). 22.70/3.21 tff(f963,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,sK12) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | spl30_22), 22.70/3.21 inference(resolution,[],[f689,f421])). 22.70/3.21 tff(f689,plain,( 22.70/3.21 ~$less(sK12,0) | spl30_22), 22.70/3.21 inference(avatar_component_clause,[],[f688])). 22.70/3.21 tff(f2938,plain,( 22.70/3.21 ~spl30_148 | spl30_307 | ~spl30_10 | ~spl30_14 | spl30_22), 22.70/3.21 inference(avatar_split_clause,[],[f2847,f688,f644,f604,f2936,f1546])). 22.70/3.21 tff(f2936,plain,( 22.70/3.21 spl30_307 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_307])])). 22.70/3.21 tff(f2847,plain,( 22.70/3.21 valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_10 | ~spl30_14 | spl30_22)), 22.70/3.21 inference(resolution,[],[f645,f981])). 22.70/3.21 tff(f981,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | valid_row1(X8,X9,81) | ~$less(81,X10)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f980,f691])). 22.70/3.21 tff(f980,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,81) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f962,f691])). 22.70/3.21 tff(f962,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,sK12) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | spl30_22), 22.70/3.21 inference(resolution,[],[f689,f420])). 22.70/3.21 tff(f2934,plain,( 22.70/3.21 ~spl30_148 | spl30_306 | ~spl30_10 | ~spl30_14 | spl30_22), 22.70/3.21 inference(avatar_split_clause,[],[f2846,f688,f644,f604,f2932,f1546])). 22.70/3.21 tff(f2932,plain,( 22.70/3.21 spl30_306 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_306])])). 22.70/3.21 tff(f2846,plain,( 22.70/3.21 valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_10 | ~spl30_14 | spl30_22)), 22.70/3.21 inference(resolution,[],[f645,f979])). 22.70/3.21 tff(f979,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | valid_square1(X5,X6,81) | ~$less(81,X7)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f978,f691])). 22.70/3.21 tff(f978,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,81) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | (~spl30_10 | spl30_22)), 22.70/3.21 inference(forward_demodulation,[],[f961,f691])). 22.70/3.21 tff(f961,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,sK12) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | spl30_22), 22.70/3.21 inference(resolution,[],[f689,f419])). 22.70/3.21 tff(f2929,plain,( 22.70/3.21 spl30_305 | ~spl30_303 | ~spl30_14 | spl30_21), 22.70/3.21 inference(avatar_split_clause,[],[f2845,f684,f644,f2919,f2927])). 22.70/3.21 tff(f2927,plain,( 22.70/3.21 spl30_305 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_305])])). 22.70/3.21 tff(f2919,plain,( 22.70/3.21 spl30_303 <=> $less(sK8,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_303])])). 22.70/3.21 tff(f684,plain,( 22.70/3.21 spl30_21 <=> $less(sK8,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 22.70/3.21 tff(f2845,plain,( 22.70/3.21 ~$less(sK8,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_14 | spl30_21)), 22.70/3.21 inference(resolution,[],[f645,f914])). 22.70/3.21 tff(f914,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK8,X13) | valid_column1(X11,X12,sK8)) ) | spl30_21), 22.70/3.21 inference(resolution,[],[f685,f421])). 22.70/3.21 tff(f685,plain,( 22.70/3.21 ~$less(sK8,0) | spl30_21), 22.70/3.21 inference(avatar_component_clause,[],[f684])). 22.70/3.21 tff(f2925,plain,( 22.70/3.21 spl30_304 | ~spl30_303 | ~spl30_14 | spl30_21), 22.70/3.21 inference(avatar_split_clause,[],[f2844,f684,f644,f2919,f2923])). 22.70/3.21 tff(f2923,plain,( 22.70/3.21 spl30_304 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_304])])). 22.70/3.21 tff(f2844,plain,( 22.70/3.21 ~$less(sK8,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_14 | spl30_21)), 22.70/3.21 inference(resolution,[],[f645,f913])). 22.70/3.21 tff(f913,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK8,X10) | valid_row1(X8,X9,sK8)) ) | spl30_21), 22.70/3.21 inference(resolution,[],[f685,f420])). 22.70/3.21 tff(f2921,plain,( 22.70/3.21 spl30_302 | ~spl30_303 | ~spl30_14 | spl30_21), 22.70/3.21 inference(avatar_split_clause,[],[f2843,f684,f644,f2919,f2916])). 22.70/3.21 tff(f2916,plain,( 22.70/3.21 spl30_302 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_302])])). 22.70/3.21 tff(f2843,plain,( 22.70/3.21 ~$less(sK8,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_14 | spl30_21)), 22.70/3.21 inference(resolution,[],[f645,f912])). 22.70/3.21 tff(f912,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK8,X7) | valid_square1(X5,X6,sK8)) ) | spl30_21), 22.70/3.21 inference(resolution,[],[f685,f419])). 22.70/3.21 tff(f2914,plain,( 22.70/3.21 spl30_301 | ~spl30_299 | ~spl30_14 | spl30_20), 22.70/3.21 inference(avatar_split_clause,[],[f2842,f680,f644,f2904,f2912])). 22.70/3.21 tff(f2912,plain,( 22.70/3.21 spl30_301 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_301])])). 22.70/3.21 tff(f2904,plain,( 22.70/3.21 spl30_299 <=> $less(sK6,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_299])])). 22.70/3.21 tff(f680,plain,( 22.70/3.21 spl30_20 <=> $less(sK6,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 22.70/3.21 tff(f2842,plain,( 22.70/3.21 ~$less(sK6,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_14 | spl30_20)), 22.70/3.21 inference(resolution,[],[f645,f865])). 22.70/3.21 tff(f865,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK6,X13) | valid_column1(X11,X12,sK6)) ) | spl30_20), 22.70/3.21 inference(resolution,[],[f681,f421])). 22.70/3.21 tff(f681,plain,( 22.70/3.21 ~$less(sK6,0) | spl30_20), 22.70/3.21 inference(avatar_component_clause,[],[f680])). 22.70/3.21 tff(f2910,plain,( 22.70/3.21 spl30_300 | ~spl30_299 | ~spl30_14 | spl30_20), 22.70/3.21 inference(avatar_split_clause,[],[f2841,f680,f644,f2904,f2908])). 22.70/3.21 tff(f2908,plain,( 22.70/3.21 spl30_300 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_300])])). 22.70/3.21 tff(f2841,plain,( 22.70/3.21 ~$less(sK6,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_14 | spl30_20)), 22.70/3.21 inference(resolution,[],[f645,f864])). 22.70/3.21 tff(f864,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK6,X10) | valid_row1(X8,X9,sK6)) ) | spl30_20), 22.70/3.21 inference(resolution,[],[f681,f420])). 22.70/3.21 tff(f2906,plain,( 22.70/3.21 spl30_298 | ~spl30_299 | ~spl30_14 | spl30_20), 22.70/3.21 inference(avatar_split_clause,[],[f2840,f680,f644,f2904,f2901])). 22.70/3.21 tff(f2901,plain,( 22.70/3.21 spl30_298 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_298])])). 22.70/3.21 tff(f2840,plain,( 22.70/3.21 ~$less(sK6,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_14 | spl30_20)), 22.70/3.21 inference(resolution,[],[f645,f863])). 22.70/3.21 tff(f863,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK6,X7) | valid_square1(X5,X6,sK6)) ) | spl30_20), 22.70/3.21 inference(resolution,[],[f681,f419])). 22.70/3.21 tff(f2899,plain,( 22.70/3.21 spl30_297 | ~spl30_295 | ~spl30_14 | spl30_19), 22.70/3.21 inference(avatar_split_clause,[],[f2839,f676,f644,f2889,f2897])). 22.70/3.21 tff(f2897,plain,( 22.70/3.21 spl30_297 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_297])])). 22.70/3.21 tff(f2889,plain,( 22.70/3.21 spl30_295 <=> $less(sK4,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_295])])). 22.70/3.21 tff(f676,plain,( 22.70/3.21 spl30_19 <=> $less(sK4,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 22.70/3.21 tff(f2839,plain,( 22.70/3.21 ~$less(sK4,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_14 | spl30_19)), 22.70/3.21 inference(resolution,[],[f645,f816])). 22.70/3.21 tff(f816,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK4,X13) | valid_column1(X11,X12,sK4)) ) | spl30_19), 22.70/3.21 inference(resolution,[],[f677,f421])). 22.70/3.21 tff(f677,plain,( 22.70/3.21 ~$less(sK4,0) | spl30_19), 22.70/3.21 inference(avatar_component_clause,[],[f676])). 22.70/3.21 tff(f2895,plain,( 22.70/3.21 spl30_296 | ~spl30_295 | ~spl30_14 | spl30_19), 22.70/3.21 inference(avatar_split_clause,[],[f2838,f676,f644,f2889,f2893])). 22.70/3.21 tff(f2893,plain,( 22.70/3.21 spl30_296 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_296])])). 22.70/3.21 tff(f2838,plain,( 22.70/3.21 ~$less(sK4,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_14 | spl30_19)), 22.70/3.21 inference(resolution,[],[f645,f815])). 22.70/3.21 tff(f815,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK4,X10) | valid_row1(X8,X9,sK4)) ) | spl30_19), 22.70/3.21 inference(resolution,[],[f677,f420])). 22.70/3.21 tff(f2891,plain,( 22.70/3.21 spl30_294 | ~spl30_295 | ~spl30_14 | spl30_19), 22.70/3.21 inference(avatar_split_clause,[],[f2837,f676,f644,f2889,f2886])). 22.70/3.21 tff(f2886,plain,( 22.70/3.21 spl30_294 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_294])])). 22.70/3.21 tff(f2837,plain,( 22.70/3.21 ~$less(sK4,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_14 | spl30_19)), 22.70/3.21 inference(resolution,[],[f645,f814])). 22.70/3.21 tff(f814,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK4,X7) | valid_square1(X5,X6,sK4)) ) | spl30_19), 22.70/3.21 inference(resolution,[],[f677,f419])). 22.70/3.21 tff(f2884,plain,( 22.70/3.21 spl30_293 | ~spl30_291 | ~spl30_14 | spl30_18), 22.70/3.21 inference(avatar_split_clause,[],[f2836,f672,f644,f2874,f2882])). 22.70/3.21 tff(f2882,plain,( 22.70/3.21 spl30_293 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_293])])). 22.70/3.21 tff(f2874,plain,( 22.70/3.21 spl30_291 <=> $less(sK2,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_291])])). 22.70/3.21 tff(f672,plain,( 22.70/3.21 spl30_18 <=> $less(sK2,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 22.70/3.21 tff(f2836,plain,( 22.70/3.21 ~$less(sK2,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2) | (~spl30_14 | spl30_18)), 22.70/3.21 inference(resolution,[],[f645,f767])). 22.70/3.21 tff(f767,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK2,X13) | valid_column1(X11,X12,sK2)) ) | spl30_18), 22.70/3.21 inference(resolution,[],[f673,f421])). 22.70/3.21 tff(f673,plain,( 22.70/3.21 ~$less(sK2,0) | spl30_18), 22.70/3.21 inference(avatar_component_clause,[],[f672])). 22.70/3.21 tff(f2880,plain,( 22.70/3.21 spl30_292 | ~spl30_291 | ~spl30_14 | spl30_18), 22.70/3.21 inference(avatar_split_clause,[],[f2835,f672,f644,f2874,f2878])). 22.70/3.21 tff(f2878,plain,( 22.70/3.21 spl30_292 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_292])])). 22.70/3.21 tff(f2835,plain,( 22.70/3.21 ~$less(sK2,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2) | (~spl30_14 | spl30_18)), 22.70/3.21 inference(resolution,[],[f645,f766])). 22.70/3.21 tff(f766,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK2,X10) | valid_row1(X8,X9,sK2)) ) | spl30_18), 22.70/3.21 inference(resolution,[],[f673,f420])). 22.70/3.21 tff(f2876,plain,( 22.70/3.21 spl30_290 | ~spl30_291 | ~spl30_14 | spl30_18), 22.70/3.21 inference(avatar_split_clause,[],[f2834,f672,f644,f2874,f2871])). 22.70/3.21 tff(f2871,plain,( 22.70/3.21 spl30_290 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_290])])). 22.70/3.21 tff(f2834,plain,( 22.70/3.21 ~$less(sK2,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2) | (~spl30_14 | spl30_18)), 22.70/3.21 inference(resolution,[],[f645,f765])). 22.70/3.21 tff(f765,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK2,X7) | valid_square1(X5,X6,sK2)) ) | spl30_18), 22.70/3.21 inference(resolution,[],[f673,f419])). 22.70/3.21 tff(f2869,plain,( 22.70/3.21 spl30_289 | ~spl30_287 | ~spl30_14 | spl30_17), 22.70/3.21 inference(avatar_split_clause,[],[f2833,f668,f644,f2859,f2867])). 22.70/3.21 tff(f2867,plain,( 22.70/3.21 spl30_289 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_289])])). 22.70/3.21 tff(f2859,plain,( 22.70/3.21 spl30_287 <=> $less(sK0,sK14)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_287])])). 22.70/3.21 tff(f668,plain,( 22.70/3.21 spl30_17 <=> $less(sK0,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 22.70/3.21 tff(f2833,plain,( 22.70/3.21 ~$less(sK0,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_14 | spl30_17)), 22.70/3.21 inference(resolution,[],[f645,f718])). 22.70/3.21 tff(f718,plain,( 22.70/3.21 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK0,X13) | valid_column1(X11,X12,sK0)) ) | spl30_17), 22.70/3.21 inference(resolution,[],[f669,f421])). 22.70/3.21 tff(f669,plain,( 22.70/3.21 ~$less(sK0,0) | spl30_17), 22.70/3.21 inference(avatar_component_clause,[],[f668])). 22.70/3.21 tff(f2865,plain,( 22.70/3.21 spl30_288 | ~spl30_287 | ~spl30_14 | spl30_17), 22.70/3.21 inference(avatar_split_clause,[],[f2832,f668,f644,f2859,f2863])). 22.70/3.21 tff(f2863,plain,( 22.70/3.21 spl30_288 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_288])])). 22.70/3.21 tff(f2832,plain,( 22.70/3.21 ~$less(sK0,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_14 | spl30_17)), 22.70/3.21 inference(resolution,[],[f645,f717])). 22.70/3.21 tff(f717,plain,( 22.70/3.21 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK0,X10) | valid_row1(X8,X9,sK0)) ) | spl30_17), 22.70/3.21 inference(resolution,[],[f669,f420])). 22.70/3.21 tff(f2861,plain,( 22.70/3.21 spl30_286 | ~spl30_287 | ~spl30_14 | spl30_17), 22.70/3.21 inference(avatar_split_clause,[],[f2831,f668,f644,f2859,f2856])). 22.70/3.21 tff(f2856,plain,( 22.70/3.21 spl30_286 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_286])])). 22.70/3.21 tff(f2831,plain,( 22.70/3.21 ~$less(sK0,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_14 | spl30_17)), 22.70/3.21 inference(resolution,[],[f645,f716])). 22.70/3.21 tff(f716,plain,( 22.70/3.21 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK0,X7) | valid_square1(X5,X6,sK0)) ) | spl30_17), 22.70/3.21 inference(resolution,[],[f669,f419])). 22.70/3.21 tff(f2825,plain,( 22.70/3.21 ~spl30_25 | spl30_8 | spl30_16), 22.70/3.21 inference(avatar_split_clause,[],[f1523,f660,f598,f706])). 22.70/3.21 tff(f1523,plain,( 22.70/3.21 is_index1(sK14) | ~$less(sK14,81) | spl30_16), 22.70/3.21 inference(resolution,[],[f661,f349])). 22.70/3.21 tff(f2823,plain,( 22.70/3.21 ~spl30_8 | ~spl30_6 | spl30_285 | ~spl30_12), 22.70/3.21 inference(avatar_split_clause,[],[f2189,f614,f2821,f592,f598])). 22.70/3.21 tff(f2189,plain,( 22.70/3.21 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(X2,sK13)) ) | ~spl30_12), 22.70/3.21 inference(resolution,[],[f615,f367])). 22.70/3.21 tff(f2819,plain,( 22.70/3.21 ~spl30_133 | ~spl30_134 | spl30_7 | ~spl30_257 | spl30_256 | ~spl30_2), 22.70/3.21 inference(avatar_split_clause,[],[f2758,f580,f2584,f2588,f595,f1469,f1466])). 22.70/3.21 tff(f2588,plain,( 22.70/3.21 spl30_257 <=> $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_257])])). 22.70/3.21 tff(f580,plain,( 22.70/3.21 spl30_2 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 22.70/3.21 tff(f2758,plain,( 22.70/3.21 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~spl30_2), 22.70/3.21 inference(resolution,[],[f1571,f385])). 22.70/3.21 tff(f385,plain,( 22.70/3.21 ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | ~valid_column1(X0,X1,sK22(X0,X1)) | ~valid_square1(X0,X1,sK22(X0,X1)) | ~valid_row1(X0,X1,sK22(X0,X1))) )), 22.70/3.21 inference(cnf_transformation,[],[f195])). 22.70/3.21 tff(f1571,plain,( 22.70/3.21 ( ! [X2:$int] : (valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X2) | $less(X2,0) | ~$less(X2,81)) ) | ~spl30_2), 22.70/3.21 inference(resolution,[],[f581,f421])). 22.70/3.21 tff(f581,plain,( 22.70/3.21 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~spl30_2), 22.70/3.21 inference(avatar_component_clause,[],[f580])). 22.70/3.21 tff(f2818,plain,( 22.70/3.21 ~spl30_284 | spl30_134), 22.70/3.21 inference(avatar_split_clause,[],[f2814,f1469,f2816])). 22.70/3.21 tff(f2816,plain,( 22.70/3.21 spl30_284 <=> valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_284])])). 22.70/3.21 tff(f2814,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_134), 22.70/3.21 inference(forward_demodulation,[],[f2813,f458])). 22.70/3.21 tff(f2813,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_134), 22.70/3.21 inference(forward_demodulation,[],[f2809,f459])). 22.70/3.21 tff(f2809,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_134), 22.70/3.21 inference(resolution,[],[f1470,f410])). 22.70/3.21 tff(f2812,plain,( 22.70/3.21 spl30_282 | spl30_256 | spl30_134), 22.70/3.21 inference(avatar_split_clause,[],[f2808,f1469,f2584,f2795])). 22.70/3.21 tff(f2795,plain,( 22.70/3.21 spl30_282 <=> ! [X0 : $int] : (~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_282])])). 22.70/3.21 tff(f2808,plain,( 22.70/3.21 ( ! [X0:$int] : ($less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_134), 22.70/3.21 inference(resolution,[],[f1470,f419])). 22.70/3.21 tff(f2811,plain,( 22.70/3.21 ~spl30_257 | spl30_256 | ~spl30_2 | spl30_134), 22.70/3.21 inference(avatar_split_clause,[],[f2807,f1469,f580,f2584,f2588])). 22.70/3.21 tff(f2807,plain,( 22.70/3.21 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81) | (~spl30_2 | spl30_134)), 22.70/3.21 inference(resolution,[],[f1470,f1569])). 22.70/3.21 tff(f1569,plain,( 22.70/3.21 ( ! [X0:$int] : (valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0) | $less(X0,0) | ~$less(X0,81)) ) | ~spl30_2), 22.70/3.21 inference(resolution,[],[f581,f419])). 22.70/3.21 tff(f2803,plain,( 22.70/3.21 ~spl30_283 | spl30_133), 22.70/3.21 inference(avatar_split_clause,[],[f2799,f1466,f2801])). 22.70/3.21 tff(f2801,plain,( 22.70/3.21 spl30_283 <=> valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_283])])). 22.70/3.21 tff(f2799,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_133), 22.70/3.21 inference(forward_demodulation,[],[f2798,f461])). 22.70/3.21 tff(f2798,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_133), 22.70/3.21 inference(forward_demodulation,[],[f2789,f456])). 22.70/3.21 tff(f2789,plain,( 22.70/3.21 ~valid_chunk1(sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | spl30_133), 22.70/3.21 inference(resolution,[],[f1467,f408])). 22.70/3.21 tff(f2797,plain,( 22.70/3.21 spl30_282 | spl30_256 | spl30_133), 22.70/3.21 inference(avatar_split_clause,[],[f2788,f1466,f2584,f2795])). 22.70/3.21 tff(f2788,plain,( 22.70/3.21 ( ! [X0:$int] : ($less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | spl30_133), 22.70/3.21 inference(resolution,[],[f1467,f420])). 22.70/3.21 tff(f2793,plain,( 22.70/3.21 ~spl30_257 | spl30_256 | ~spl30_2 | spl30_133), 22.70/3.21 inference(avatar_split_clause,[],[f2787,f1466,f580,f2584,f2588])). 22.70/3.21 tff(f2787,plain,( 22.70/3.21 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81) | (~spl30_2 | spl30_133)), 22.70/3.21 inference(resolution,[],[f1467,f1570])). 22.70/3.21 tff(f1570,plain,( 22.70/3.21 ( ! [X1:$int] : (valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X1) | $less(X1,0) | ~$less(X1,81)) ) | ~spl30_2), 22.70/3.21 inference(resolution,[],[f581,f420])). 22.70/3.21 tff(f2786,plain,( 22.70/3.21 spl30_157 | spl30_281 | ~spl30_156), 22.70/3.21 inference(avatar_split_clause,[],[f2768,f1590,f2784,f1594])). 22.70/3.21 tff(f2784,plain,( 22.70/3.21 spl30_281 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X17,X18,$sum(sK14,1)))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_281])])). 22.70/3.21 tff(f2768,plain,( 22.70/3.21 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~valid_up_to1(X17,X18,$sum(sK14,1))) ) | ~spl30_156), 22.70/3.21 inference(resolution,[],[f1591,f421])). 22.70/3.21 tff(f2782,plain,( 22.70/3.21 spl30_157 | spl30_280 | ~spl30_156), 22.70/3.21 inference(avatar_split_clause,[],[f2767,f1590,f2780,f1594])). 22.70/3.21 tff(f2780,plain,( 22.70/3.21 spl30_280 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X15,X16,$sum(sK14,1)))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_280])])). 22.70/3.21 tff(f2767,plain,( 22.70/3.21 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~valid_up_to1(X15,X16,$sum(sK14,1))) ) | ~spl30_156), 22.70/3.21 inference(resolution,[],[f1591,f420])). 22.70/3.21 tff(f2778,plain,( 22.70/3.21 spl30_157 | spl30_279 | ~spl30_156), 22.70/3.21 inference(avatar_split_clause,[],[f2766,f1590,f2776,f1594])). 22.70/3.21 tff(f2776,plain,( 22.70/3.21 spl30_279 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X13,X14,$sum(sK14,1)))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_279])])). 22.70/3.21 tff(f2766,plain,( 22.70/3.21 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~valid_up_to1(X13,X14,$sum(sK14,1))) ) | ~spl30_156), 22.70/3.21 inference(resolution,[],[f1591,f419])). 22.70/3.21 tff(f2774,plain,( 22.70/3.21 spl30_157 | spl30_278 | ~spl30_156), 22.70/3.21 inference(avatar_split_clause,[],[f2764,f1590,f2771,f1594])). 22.70/3.21 tff(f2771,plain,( 22.70/3.21 spl30_278 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | ~valid_chunk_up_to1(X0,X2,X1,X3,$sum(sK14,1)) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X4 | ~$less(X4,$sum(sK14,1)) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_278])])). 22.70/3.21 tff(f2764,plain,( 22.70/3.21 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1) | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~$less(X9,$sum(sK14,1)) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X9 | $less(X9,0) | ~valid_chunk_up_to1(X5,X7,X6,X8,$sum(sK14,1))) ) | ~spl30_156), 22.70/3.21 inference(resolution,[],[f1591,f455])). 22.70/3.21 tff(f2773,plain,( 22.70/3.21 spl30_157 | spl30_278 | ~spl30_156), 22.70/3.21 inference(avatar_split_clause,[],[f2763,f1590,f2771,f1594])). 22.70/3.21 tff(f2763,plain,( 22.70/3.21 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(X4,0) | ~$less(X4,$sum(sK14,1)) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X4 | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~valid_chunk_up_to1(X0,X2,X1,X3,$sum(sK14,1))) ) | ~spl30_156), 22.70/3.21 inference(resolution,[],[f1591,f455])). 22.70/3.21 tff(f2747,plain,( 22.70/3.21 ~spl30_271 | spl30_277 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2711,f1594,f2745,f2722])). 22.70/3.21 tff(f2722,plain,( 22.70/3.21 spl30_271 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_271])])). 22.70/3.21 tff(f2745,plain,( 22.70/3.21 spl30_277 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_277])])). 22.70/3.21 tff(f2711,plain,( 22.70/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))) | ~is_index1(X43) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9) | ~disjoint_chunks1(X42,X44)) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f463])). 22.70/3.21 tff(f1595,plain,( 22.70/3.21 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | spl30_157), 22.70/3.21 inference(avatar_component_clause,[],[f1594])). 22.70/3.21 tff(f2743,plain,( 22.70/3.21 ~spl30_271 | spl30_276 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2708,f1594,f2740,f2722])). 22.70/3.21 tff(f2740,plain,( 22.70/3.21 spl30_276 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_276])])). 22.70/3.21 tff(f2708,plain,( 22.70/3.21 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X29 | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f442])). 22.70/3.21 tff(f2742,plain,( 22.70/3.21 ~spl30_271 | spl30_276 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2707,f1594,f2740,f2722])). 22.70/3.21 tff(f2707,plain,( 22.70/3.21 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))),1) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f442])). 22.70/3.21 tff(f2738,plain,( 22.70/3.21 spl30_273 | spl30_275 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2706,f1594,f2736,f2729])). 22.70/3.21 tff(f2729,plain,( 22.70/3.21 spl30_273 <=> $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_273])])). 22.70/3.21 tff(f2736,plain,( 22.70/3.21 spl30_275 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_275])])). 22.70/3.21 tff(f2706,plain,( 22.70/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f427])). 22.70/3.21 tff(f2734,plain,( 22.70/3.21 spl30_273 | spl30_274 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2705,f1594,f2732,f2729])). 22.70/3.21 tff(f2732,plain,( 22.70/3.21 spl30_274 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_274])])). 22.70/3.21 tff(f2705,plain,( 22.70/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f427])). 22.70/3.21 tff(f2727,plain,( 22.70/3.21 ~spl30_271 | spl30_272 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2700,f1594,f2725,f2722])). 22.70/3.21 tff(f2725,plain,( 22.70/3.21 spl30_272 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_272])])). 22.70/3.21 tff(f2700,plain,( 22.70/3.21 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))) | ~is_index1(X1) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f378])). 22.70/3.21 tff(f2720,plain,( 22.70/3.21 ~spl30_269 | spl30_270 | spl30_157), 22.70/3.21 inference(avatar_split_clause,[],[f2699,f1594,f2718,f2715])). 22.70/3.21 tff(f2715,plain,( 22.70/3.21 spl30_269 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_269])])). 22.70/3.21 tff(f2699,plain,( 22.70/3.21 is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),81) | spl30_157), 22.70/3.21 inference(resolution,[],[f1595,f349])). 22.70/3.21 tff(f2698,plain,( 22.70/3.21 spl30_267 | ~spl30_268 | spl30_97), 22.70/3.21 inference(avatar_split_clause,[],[f2691,f1194,f2696,f2693])). 22.70/3.21 tff(f2693,plain,( 22.70/3.21 spl30_267 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_267])])). 22.70/3.21 tff(f2696,plain,( 22.70/3.21 spl30_268 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_268])])). 22.70/3.21 tff(f2691,plain,( 22.70/3.21 ~$less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),81) | $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),0) | spl30_97), 22.70/3.21 inference(resolution,[],[f1195,f349])). 22.70/3.21 tff(f2690,plain,( 22.70/3.21 spl30_265 | ~spl30_266 | spl30_91), 22.70/3.21 inference(avatar_split_clause,[],[f2683,f1150,f2688,f2685])). 22.70/3.21 tff(f2685,plain,( 22.70/3.21 spl30_265 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_265])])). 22.70/3.21 tff(f2688,plain,( 22.70/3.21 spl30_266 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_266])])). 22.70/3.21 tff(f2683,plain,( 22.70/3.21 ~$less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),81) | $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),0) | spl30_91), 22.70/3.21 inference(resolution,[],[f1151,f349])). 22.70/3.21 tff(f2679,plain,( 22.70/3.21 spl30_263 | ~spl30_264 | spl30_85), 22.70/3.21 inference(avatar_split_clause,[],[f2672,f1106,f2677,f2674])). 22.70/3.21 tff(f2674,plain,( 22.70/3.21 spl30_263 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_263])])). 22.70/3.21 tff(f2677,plain,( 22.70/3.21 spl30_264 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),81)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_264])])). 22.70/3.21 tff(f2672,plain,( 22.70/3.21 ~$less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),81) | $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),0) | spl30_85), 22.70/3.21 inference(resolution,[],[f1107,f349])). 22.70/3.21 tff(f2671,plain,( 22.70/3.21 ~spl30_262 | ~spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f2659,f1495,f2669])). 22.70/3.21 tff(f2659,plain,( 22.70/3.21 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~spl30_139), 22.70/3.21 inference(resolution,[],[f1496,f347])). 22.70/3.21 tff(f1496,plain,( 22.70/3.21 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~spl30_139), 22.70/3.21 inference(avatar_component_clause,[],[f1495])). 22.70/3.21 tff(f2667,plain,( 22.70/3.21 spl30_1 | ~spl30_139), 22.70/3.21 inference(avatar_split_clause,[],[f2658,f1495,f577])). 22.70/3.21 tff(f577,plain,( 22.70/3.21 spl30_1 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 22.70/3.21 tff(f2658,plain,( 22.70/3.21 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~spl30_139), 22.70/3.21 inference(resolution,[],[f1496,f417])). 22.70/3.21 tff(f417,plain,( 22.70/3.21 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~$less(sK24(X0,X1,X2),0)) )), 22.70/3.21 inference(cnf_transformation,[],[f208])). 22.70/3.21 tff(f2657,plain,( 22.70/3.21 ~spl30_23 | spl30_261 | ~spl30_131), 22.70/3.21 inference(avatar_split_clause,[],[f2651,f1458,f2655,f696])). 22.70/3.21 tff(f2655,plain,( 22.70/3.21 spl30_261 <=> ! [X3 : map_int_int,X2 : map_int_int] : (~included1(sK13,X2) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X3) | ~included1(X2,X3))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_261])])). 22.70/3.21 tff(f1458,plain,( 22.70/3.21 spl30_131 <=> ! [X1 : map_int_int] : (~included1(sK13,X1) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_131])])). 22.70/3.21 tff(f2651,plain,( 22.70/3.21 ( ! [X2:map_int_int,X3:map_int_int] : (~included1(sK13,X2) | ~included1(X2,X3) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X3) | ~well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | ~spl30_131), 22.70/3.21 inference(resolution,[],[f1459,f405])). 22.70/3.21 tff(f1459,plain,( 22.70/3.21 ( ! [X1:map_int_int] : (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1) | ~included1(sK13,X1)) ) | ~spl30_131), 22.70/3.21 inference(avatar_component_clause,[],[f1458])). 22.70/3.21 tff(f2611,plain,( 22.70/3.21 spl30_103 | spl30_104 | ~spl30_258 | spl30_260 | spl30_103), 22.70/3.21 inference(avatar_split_clause,[],[f2597,f1231,f2609,f2600,f1237,f1231])). 22.70/3.21 tff(f2600,plain,( 22.70/3.21 spl30_258 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_258])])). 22.70/3.21 tff(f2609,plain,( 22.70/3.21 spl30_260 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_260])])). 22.70/3.21 tff(f2597,plain,( 22.70/3.21 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7)) ) | spl30_103), 22.70/3.21 inference(superposition,[],[f1232,f393])). 22.70/3.21 tff(f2605,plain,( 22.70/3.21 spl30_104 | ~spl30_258 | spl30_259 | spl30_103), 22.70/3.21 inference(avatar_split_clause,[],[f2591,f1231,f2603,f2600,f1237])). 22.70/3.21 tff(f2603,plain,( 22.70/3.21 spl30_259 <=> ! [X0 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~included1(sK13,X0))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_259])])). 22.70/3.21 tff(f2591,plain,( 22.70/3.21 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~included1(sK13,X0)) ) | spl30_103), 22.70/3.21 inference(resolution,[],[f1232,f393])). 22.70/3.21 tff(f2590,plain,( 22.70/3.21 spl30_257 | ~spl30_132), 22.70/3.21 inference(avatar_split_clause,[],[f2571,f1462,f2588])). 22.70/3.21 tff(f2571,plain,( 22.70/3.21 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81) | ~spl30_132), 22.70/3.21 inference(resolution,[],[f1463,f348])). 22.70/3.21 tff(f1463,plain,( 22.70/3.21 is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~spl30_132), 22.70/3.21 inference(avatar_component_clause,[],[f1462])). 22.70/3.21 tff(f2586,plain,( 22.70/3.21 ~spl30_256 | ~spl30_132), 22.70/3.21 inference(avatar_split_clause,[],[f2570,f1462,f2584])). 22.70/3.21 tff(f2570,plain,( 22.70/3.21 ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~spl30_132), 22.70/3.21 inference(resolution,[],[f1463,f347])). 22.70/3.21 tff(f2568,plain,( 22.70/3.21 spl30_254 | spl30_255 | spl30_16), 22.70/3.21 inference(avatar_split_clause,[],[f2561,f660,f2566,f2563])). 22.70/3.21 tff(f2563,plain,( 22.70/3.21 spl30_254 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_254])])). 22.70/3.21 tff(f2561,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK14,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_16), 22.70/3.21 inference(evaluation,[],[f2560])). 22.70/3.21 tff(f2560,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK14,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_16), 22.70/3.21 inference(resolution,[],[f1536,f427])). 22.70/3.21 tff(f1536,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK14,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK14)))) ) | spl30_16), 22.70/3.21 inference(resolution,[],[f661,f431])). 22.70/3.21 tff(f2556,plain,( 22.70/3.21 spl30_252 | spl30_253 | spl30_24), 22.70/3.21 inference(avatar_split_clause,[],[f2549,f700,f2554,f2551])). 22.70/3.21 tff(f2551,plain,( 22.70/3.21 spl30_252 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_252])])). 22.70/3.21 tff(f2549,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK10,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_24), 22.70/3.21 inference(evaluation,[],[f2548])). 22.70/3.21 tff(f2548,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK10,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_24), 22.70/3.21 inference(resolution,[],[f1029,f427])). 22.70/3.21 tff(f1029,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK10,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK10)))) ) | spl30_24), 22.70/3.21 inference(resolution,[],[f701,f431])). 22.70/3.21 tff(f2537,plain,( 22.70/3.21 spl30_250 | spl30_251 | spl30_21), 22.70/3.21 inference(avatar_split_clause,[],[f2530,f684,f2535,f2532])). 22.70/3.21 tff(f2532,plain,( 22.70/3.21 spl30_250 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK8))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_250])])). 22.70/3.21 tff(f2535,plain,( 22.70/3.21 spl30_251 <=> ! [X9 : $int] : (~$less(sK8,X9) | $less(X9,0) | $less(81,X9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_251])])). 22.70/3.21 tff(f2530,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK8,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK8))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_21), 22.70/3.21 inference(evaluation,[],[f2529])). 22.70/3.21 tff(f2529,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK8,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK8))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_21), 22.70/3.21 inference(resolution,[],[f922,f427])). 22.70/3.21 tff(f922,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK8,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK8)))) ) | spl30_21), 22.70/3.21 inference(resolution,[],[f685,f431])). 22.70/3.21 tff(f2525,plain,( 22.70/3.21 spl30_248 | spl30_249 | spl30_20), 22.70/3.21 inference(avatar_split_clause,[],[f2518,f680,f2523,f2520])). 22.70/3.21 tff(f2520,plain,( 22.70/3.21 spl30_248 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_248])])). 22.70/3.21 tff(f2523,plain,( 22.70/3.21 spl30_249 <=> ! [X9 : $int] : (~$less(sK6,X9) | $less(X9,0) | $less(81,X9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_249])])). 22.70/3.21 tff(f2518,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK6,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_20), 22.70/3.21 inference(evaluation,[],[f2517])). 22.70/3.21 tff(f2517,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK6,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_20), 22.70/3.21 inference(resolution,[],[f873,f427])). 22.70/3.21 tff(f873,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK6,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK6)))) ) | spl30_20), 22.70/3.21 inference(resolution,[],[f681,f431])). 22.70/3.21 tff(f2513,plain,( 22.70/3.21 spl30_246 | spl30_247 | spl30_19), 22.70/3.21 inference(avatar_split_clause,[],[f2506,f676,f2511,f2508])). 22.70/3.21 tff(f2508,plain,( 22.70/3.21 spl30_246 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK4))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_246])])). 22.70/3.21 tff(f2511,plain,( 22.70/3.21 spl30_247 <=> ! [X9 : $int] : (~$less(sK4,X9) | $less(X9,0) | $less(81,X9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_247])])). 22.70/3.21 tff(f2506,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK4,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK4))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_19), 22.70/3.21 inference(evaluation,[],[f2505])). 22.70/3.21 tff(f2505,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK4,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK4))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_19), 22.70/3.21 inference(resolution,[],[f824,f427])). 22.70/3.21 tff(f824,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK4,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK4)))) ) | spl30_19), 22.70/3.21 inference(resolution,[],[f677,f431])). 22.70/3.21 tff(f2501,plain,( 22.70/3.21 spl30_244 | spl30_245 | spl30_18), 22.70/3.21 inference(avatar_split_clause,[],[f2494,f672,f2499,f2496])). 22.70/3.21 tff(f2496,plain,( 22.70/3.21 spl30_244 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_244])])). 22.70/3.21 tff(f2499,plain,( 22.70/3.21 spl30_245 <=> ! [X9 : $int] : (~$less(sK2,X9) | $less(X9,0) | $less(81,X9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_245])])). 22.70/3.21 tff(f2494,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK2,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_18), 22.70/3.21 inference(evaluation,[],[f2493])). 22.70/3.21 tff(f2493,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK2,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_18), 22.70/3.21 inference(resolution,[],[f775,f427])). 22.70/3.21 tff(f775,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK2,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK2)))) ) | spl30_18), 22.70/3.21 inference(resolution,[],[f673,f431])). 22.70/3.21 tff(f2489,plain,( 22.70/3.21 spl30_242 | spl30_243 | spl30_17), 22.70/3.21 inference(avatar_split_clause,[],[f2482,f668,f2487,f2484])). 22.70/3.21 tff(f2484,plain,( 22.70/3.21 spl30_242 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK0))) | ~grid_eq_sub1(X10,X11,0,81))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_242])])). 22.70/3.21 tff(f2487,plain,( 22.70/3.21 spl30_243 <=> ! [X9 : $int] : (~$less(sK0,X9) | $less(X9,0) | $less(81,X9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_243])])). 22.70/3.21 tff(f2482,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK0,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK0))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0)) ) | spl30_17), 22.70/3.21 inference(evaluation,[],[f2481])). 22.70/3.21 tff(f2481,plain,( 22.70/3.21 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK0,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK0))) | $less(81,X9) | ~grid_eq_sub1(X10,X11,0,81) | $less(X9,0) | $less(81,0) | $less(0,0)) ) | spl30_17), 22.70/3.21 inference(resolution,[],[f726,f427])). 22.70/3.21 tff(f726,plain,( 22.70/3.21 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK0,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK0)))) ) | spl30_17), 22.70/3.21 inference(resolution,[],[f669,f431])). 22.70/3.21 tff(f2477,plain,( 22.70/3.21 spl30_118 | spl30_241 | ~spl30_122), 22.70/3.21 inference(avatar_split_clause,[],[f2446,f1363,f2475,f1347])). 22.70/3.21 tff(f2475,plain,( 22.70/3.21 spl30_241 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_241])])). 22.70/3.21 tff(f2446,plain,( 22.70/3.21 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_122), 22.70/3.21 inference(resolution,[],[f1364,f421])). 22.70/3.21 tff(f2473,plain,( 22.70/3.21 spl30_118 | spl30_240 | ~spl30_122), 22.70/3.21 inference(avatar_split_clause,[],[f2445,f1363,f2471,f1347])). 22.70/3.21 tff(f2471,plain,( 22.70/3.21 spl30_240 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_240])])). 22.70/3.21 tff(f2445,plain,( 22.70/3.21 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_122), 22.70/3.21 inference(resolution,[],[f1364,f420])). 22.70/3.21 tff(f2469,plain,( 22.70/3.21 spl30_118 | spl30_239 | ~spl30_122), 22.70/3.21 inference(avatar_split_clause,[],[f2444,f1363,f2467,f1347])). 22.70/3.21 tff(f2467,plain,( 22.70/3.21 spl30_239 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_239])])). 22.70/3.21 tff(f2444,plain,( 22.70/3.21 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_122), 22.70/3.21 inference(resolution,[],[f1364,f419])). 22.70/3.21 tff(f2465,plain,( 22.70/3.21 spl30_118 | spl30_238 | ~spl30_122), 22.70/3.21 inference(avatar_split_clause,[],[f2442,f1363,f2462,f1347])). 22.70/3.21 tff(f2462,plain,( 22.70/3.21 spl30_238 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_238])])). 22.70/3.22 tff(f2442,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~$less(X25,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f455])). 22.70/3.22 tff(f2464,plain,( 22.70/3.22 spl30_118 | spl30_238 | ~spl30_122), 22.70/3.22 inference(avatar_split_clause,[],[f2441,f1363,f2462,f1347])). 22.70/3.22 tff(f2441,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f455])). 22.70/3.22 tff(f2460,plain,( 22.70/3.22 spl30_118 | spl30_237 | ~spl30_122), 22.70/3.22 inference(avatar_split_clause,[],[f2440,f1363,f2458,f1347])). 22.70/3.22 tff(f2458,plain,( 22.70/3.22 spl30_237 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_237])])). 22.70/3.22 tff(f2440,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X14) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f463])). 22.70/3.22 tff(f2456,plain,( 22.70/3.22 spl30_118 | spl30_236 | ~spl30_122), 22.70/3.22 inference(avatar_split_clause,[],[f2439,f1363,f2454,f1347])). 22.70/3.22 tff(f2454,plain,( 22.70/3.22 spl30_236 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_236])])). 22.70/3.22 tff(f2439,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f378])). 22.70/3.22 tff(f2452,plain,( 22.70/3.22 spl30_118 | spl30_235 | ~spl30_122), 22.70/3.22 inference(avatar_split_clause,[],[f2438,f1363,f2449,f1347])). 22.70/3.22 tff(f2449,plain,( 22.70/3.22 spl30_235 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_235])])). 22.70/3.22 tff(f2438,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f442])). 22.70/3.22 tff(f2451,plain,( 22.70/3.22 spl30_118 | spl30_235 | ~spl30_122), 22.70/3.22 inference(avatar_split_clause,[],[f2437,f1363,f2449,f1347])). 22.70/3.22 tff(f2437,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_122), 22.70/3.22 inference(resolution,[],[f1364,f442])). 22.70/3.22 tff(f2436,plain,( 22.70/3.22 spl30_119 | spl30_234 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2405,f1355,f2434,f1351])). 22.70/3.22 tff(f2434,plain,( 22.70/3.22 spl30_234 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_234])])). 22.70/3.22 tff(f2405,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f421])). 22.70/3.22 tff(f2432,plain,( 22.70/3.22 spl30_119 | spl30_233 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2404,f1355,f2430,f1351])). 22.70/3.22 tff(f2430,plain,( 22.70/3.22 spl30_233 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_233])])). 22.70/3.22 tff(f2404,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f420])). 22.70/3.22 tff(f2428,plain,( 22.70/3.22 spl30_119 | spl30_232 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2403,f1355,f2426,f1351])). 22.70/3.22 tff(f2426,plain,( 22.70/3.22 spl30_232 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_232])])). 22.70/3.22 tff(f2403,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f419])). 22.70/3.22 tff(f2424,plain,( 22.70/3.22 spl30_119 | spl30_231 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2401,f1355,f2421,f1351])). 22.70/3.22 tff(f2421,plain,( 22.70/3.22 spl30_231 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_231])])). 22.70/3.22 tff(f2401,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~$less(X25,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f455])). 22.70/3.22 tff(f2423,plain,( 22.70/3.22 spl30_119 | spl30_231 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2400,f1355,f2421,f1351])). 22.70/3.22 tff(f2400,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f455])). 22.70/3.22 tff(f2419,plain,( 22.70/3.22 spl30_119 | spl30_230 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2399,f1355,f2417,f1351])). 22.70/3.22 tff(f2417,plain,( 22.70/3.22 spl30_230 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_230])])). 22.70/3.22 tff(f2399,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X14) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f463])). 22.70/3.22 tff(f2415,plain,( 22.70/3.22 spl30_119 | spl30_229 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2398,f1355,f2413,f1351])). 22.70/3.22 tff(f2413,plain,( 22.70/3.22 spl30_229 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_229])])). 22.70/3.22 tff(f2398,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f378])). 22.70/3.22 tff(f2411,plain,( 22.70/3.22 spl30_119 | spl30_228 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2397,f1355,f2408,f1351])). 22.70/3.22 tff(f2408,plain,( 22.70/3.22 spl30_228 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_228])])). 22.70/3.22 tff(f2397,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f442])). 22.70/3.22 tff(f2410,plain,( 22.70/3.22 spl30_119 | spl30_228 | ~spl30_120), 22.70/3.22 inference(avatar_split_clause,[],[f2396,f1355,f2408,f1351])). 22.70/3.22 tff(f2396,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_120), 22.70/3.22 inference(resolution,[],[f1356,f442])). 22.70/3.22 tff(f2392,plain,( 22.70/3.22 spl30_108 | spl30_227 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2361,f1290,f2390,f1274])). 22.70/3.22 tff(f2390,plain,( 22.70/3.22 spl30_227 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_227])])). 22.70/3.22 tff(f2361,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f421])). 22.70/3.22 tff(f2388,plain,( 22.70/3.22 spl30_108 | spl30_226 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2360,f1290,f2386,f1274])). 22.70/3.22 tff(f2386,plain,( 22.70/3.22 spl30_226 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_226])])). 22.70/3.22 tff(f2360,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f420])). 22.70/3.22 tff(f2384,plain,( 22.70/3.22 spl30_108 | spl30_225 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2359,f1290,f2382,f1274])). 22.70/3.22 tff(f2382,plain,( 22.70/3.22 spl30_225 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_225])])). 22.70/3.22 tff(f2359,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f419])). 22.70/3.22 tff(f2380,plain,( 22.70/3.22 spl30_108 | spl30_224 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2357,f1290,f2377,f1274])). 22.70/3.22 tff(f2377,plain,( 22.70/3.22 spl30_224 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_224])])). 22.70/3.22 tff(f2357,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~$less(X25,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f455])). 22.70/3.22 tff(f2379,plain,( 22.70/3.22 spl30_108 | spl30_224 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2356,f1290,f2377,f1274])). 22.70/3.22 tff(f2356,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f455])). 22.70/3.22 tff(f2375,plain,( 22.70/3.22 spl30_108 | spl30_223 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2355,f1290,f2373,f1274])). 22.70/3.22 tff(f2373,plain,( 22.70/3.22 spl30_223 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_223])])). 22.70/3.22 tff(f2355,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X14) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f463])). 22.70/3.22 tff(f2371,plain,( 22.70/3.22 spl30_108 | spl30_222 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2354,f1290,f2369,f1274])). 22.70/3.22 tff(f2369,plain,( 22.70/3.22 spl30_222 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_222])])). 22.70/3.22 tff(f2354,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f378])). 22.70/3.22 tff(f2367,plain,( 22.70/3.22 spl30_108 | spl30_221 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2353,f1290,f2364,f1274])). 22.70/3.22 tff(f2364,plain,( 22.70/3.22 spl30_221 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_221])])). 22.70/3.22 tff(f2353,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f442])). 22.70/3.22 tff(f2366,plain,( 22.70/3.22 spl30_108 | spl30_221 | ~spl30_112), 22.70/3.22 inference(avatar_split_clause,[],[f2352,f1290,f2364,f1274])). 22.70/3.22 tff(f2352,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_112), 22.70/3.22 inference(resolution,[],[f1291,f442])). 22.70/3.22 tff(f2351,plain,( 22.70/3.22 spl30_109 | spl30_220 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2320,f1282,f2349,f1278])). 22.70/3.22 tff(f2349,plain,( 22.70/3.22 spl30_220 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_220])])). 22.70/3.22 tff(f2320,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f421])). 22.70/3.22 tff(f2347,plain,( 22.70/3.22 spl30_109 | spl30_219 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2319,f1282,f2345,f1278])). 22.70/3.22 tff(f2345,plain,( 22.70/3.22 spl30_219 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_219])])). 22.70/3.22 tff(f2319,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f420])). 22.70/3.22 tff(f2343,plain,( 22.70/3.22 spl30_109 | spl30_218 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2318,f1282,f2341,f1278])). 22.70/3.22 tff(f2341,plain,( 22.70/3.22 spl30_218 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_218])])). 22.70/3.22 tff(f2318,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f419])). 22.70/3.22 tff(f2339,plain,( 22.70/3.22 spl30_109 | spl30_217 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2316,f1282,f2336,f1278])). 22.70/3.22 tff(f2336,plain,( 22.70/3.22 spl30_217 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_217])])). 22.70/3.22 tff(f2316,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~$less(X25,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f455])). 22.70/3.22 tff(f2338,plain,( 22.70/3.22 spl30_109 | spl30_217 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2315,f1282,f2336,f1278])). 22.70/3.22 tff(f2315,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f455])). 22.70/3.22 tff(f2334,plain,( 22.70/3.22 spl30_109 | spl30_216 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2314,f1282,f2332,f1278])). 22.70/3.22 tff(f2332,plain,( 22.70/3.22 spl30_216 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_216])])). 22.70/3.22 tff(f2314,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X14) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f463])). 22.70/3.22 tff(f2330,plain,( 22.70/3.22 spl30_109 | spl30_215 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2313,f1282,f2328,f1278])). 22.70/3.22 tff(f2328,plain,( 22.70/3.22 spl30_215 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_215])])). 22.70/3.22 tff(f2313,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f378])). 22.70/3.22 tff(f2326,plain,( 22.70/3.22 spl30_109 | spl30_214 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2312,f1282,f2323,f1278])). 22.70/3.22 tff(f2323,plain,( 22.70/3.22 spl30_214 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_214])])). 22.70/3.22 tff(f2312,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f442])). 22.70/3.22 tff(f2325,plain,( 22.70/3.22 spl30_109 | spl30_214 | ~spl30_110), 22.70/3.22 inference(avatar_split_clause,[],[f2311,f1282,f2323,f1278])). 22.70/3.22 tff(f2311,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_110), 22.70/3.22 inference(resolution,[],[f1283,f442])). 22.70/3.22 tff(f2310,plain,( 22.70/3.22 spl30_98 | spl30_213 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2288,f1225,f2308,f1209])). 22.70/3.22 tff(f2308,plain,( 22.70/3.22 spl30_213 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_213])])). 22.70/3.22 tff(f2288,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f421])). 22.70/3.22 tff(f2306,plain,( 22.70/3.22 spl30_98 | spl30_212 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2287,f1225,f2304,f1209])). 22.70/3.22 tff(f2304,plain,( 22.70/3.22 spl30_212 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_212])])). 22.70/3.22 tff(f2287,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f420])). 22.70/3.22 tff(f2302,plain,( 22.70/3.22 spl30_98 | spl30_211 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2286,f1225,f2300,f1209])). 22.70/3.22 tff(f2300,plain,( 22.70/3.22 spl30_211 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_211])])). 22.70/3.22 tff(f2286,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f419])). 22.70/3.22 tff(f2298,plain,( 22.70/3.22 spl30_98 | spl30_210 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2284,f1225,f2295,f1209])). 22.70/3.22 tff(f2295,plain,( 22.70/3.22 spl30_210 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_210])])). 22.70/3.22 tff(f2284,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~$less(X25,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f455])). 22.70/3.22 tff(f2297,plain,( 22.70/3.22 spl30_98 | spl30_210 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2283,f1225,f2295,f1209])). 22.70/3.22 tff(f2283,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f455])). 22.70/3.22 tff(f2293,plain,( 22.70/3.22 spl30_98 | spl30_197 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2282,f1225,f2185,f1209])). 22.70/3.22 tff(f2185,plain,( 22.70/3.22 spl30_197 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_197])])). 22.70/3.22 tff(f2282,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X14) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f463])). 22.70/3.22 tff(f2292,plain,( 22.70/3.22 spl30_98 | spl30_192 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2281,f1225,f2165,f1209])). 22.70/3.22 tff(f2165,plain,( 22.70/3.22 spl30_192 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_192])])). 22.70/3.22 tff(f2281,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f378])). 22.70/3.22 tff(f2291,plain,( 22.70/3.22 spl30_98 | spl30_196 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2280,f1225,f2180,f1209])). 22.70/3.22 tff(f2180,plain,( 22.70/3.22 spl30_196 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_196])])). 22.70/3.22 tff(f2280,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f442])). 22.70/3.22 tff(f2290,plain,( 22.70/3.22 spl30_98 | spl30_196 | ~spl30_102), 22.70/3.22 inference(avatar_split_clause,[],[f2279,f1225,f2180,f1209])). 22.70/3.22 tff(f2279,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_102), 22.70/3.22 inference(resolution,[],[f1226,f442])). 22.70/3.22 tff(f2278,plain,( 22.70/3.22 spl30_99 | spl30_209 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2256,f1217,f2276,f1213])). 22.70/3.22 tff(f2276,plain,( 22.70/3.22 spl30_209 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_209])])). 22.70/3.22 tff(f2256,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f421])). 22.70/3.22 tff(f2274,plain,( 22.70/3.22 spl30_99 | spl30_208 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2255,f1217,f2272,f1213])). 22.70/3.22 tff(f2272,plain,( 22.70/3.22 spl30_208 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_208])])). 22.70/3.22 tff(f2255,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f420])). 22.70/3.22 tff(f2270,plain,( 22.70/3.22 spl30_99 | spl30_207 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2254,f1217,f2268,f1213])). 22.70/3.22 tff(f2268,plain,( 22.70/3.22 spl30_207 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_207])])). 22.70/3.22 tff(f2254,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f419])). 22.70/3.22 tff(f2266,plain,( 22.70/3.22 spl30_99 | spl30_206 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2252,f1217,f2263,f1213])). 22.70/3.22 tff(f2263,plain,( 22.70/3.22 spl30_206 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_206])])). 22.70/3.22 tff(f2252,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~$less(X25,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f455])). 22.70/3.22 tff(f2265,plain,( 22.70/3.22 spl30_99 | spl30_206 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2251,f1217,f2263,f1213])). 22.70/3.22 tff(f2251,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f455])). 22.70/3.22 tff(f2261,plain,( 22.70/3.22 spl30_99 | spl30_205 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2250,f1217,f2244,f1213])). 22.70/3.22 tff(f2244,plain,( 22.70/3.22 spl30_205 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_205])])). 22.70/3.22 tff(f2250,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X14) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f463])). 22.70/3.22 tff(f2260,plain,( 22.70/3.22 spl30_99 | spl30_200 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2249,f1217,f2224,f1213])). 22.70/3.22 tff(f2224,plain,( 22.70/3.22 spl30_200 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_200])])). 22.70/3.22 tff(f2249,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f378])). 22.70/3.22 tff(f2259,plain,( 22.70/3.22 spl30_99 | spl30_204 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2248,f1217,f2239,f1213])). 22.70/3.22 tff(f2239,plain,( 22.70/3.22 spl30_204 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_204])])). 22.70/3.22 tff(f2248,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f442])). 22.70/3.22 tff(f2258,plain,( 22.70/3.22 spl30_99 | spl30_204 | ~spl30_100), 22.70/3.22 inference(avatar_split_clause,[],[f2247,f1217,f2239,f1213])). 22.70/3.22 tff(f2247,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_100), 22.70/3.22 inference(resolution,[],[f1218,f442])). 22.70/3.22 tff(f2246,plain,( 22.70/3.22 ~spl30_100 | spl30_205 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2212,f1213,f2244,f1217])). 22.70/3.22 tff(f2212,plain,( 22.70/3.22 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X43) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~disjoint_chunks1(X42,X44)) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f463])). 22.70/3.22 tff(f2242,plain,( 22.70/3.22 ~spl30_100 | spl30_204 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2209,f1213,f2239,f1217])). 22.70/3.22 tff(f2209,plain,( 22.70/3.22 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X29 | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f442])). 22.70/3.22 tff(f2241,plain,( 22.70/3.22 ~spl30_100 | spl30_204 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2208,f1213,f2239,f1217])). 22.70/3.22 tff(f2208,plain,( 22.70/3.22 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f442])). 22.70/3.22 tff(f2237,plain,( 22.70/3.22 spl30_201 | spl30_203 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2207,f1213,f2235,f2228])). 22.70/3.22 tff(f2228,plain,( 22.70/3.22 spl30_201 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_201])])). 22.70/3.22 tff(f2235,plain,( 22.70/3.22 spl30_203 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_203])])). 22.70/3.22 tff(f2207,plain,( 22.70/3.22 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f427])). 22.70/3.22 tff(f2233,plain,( 22.70/3.22 spl30_201 | spl30_202 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2206,f1213,f2231,f2228])). 22.70/3.22 tff(f2231,plain,( 22.70/3.22 spl30_202 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_202])])). 22.70/3.22 tff(f2206,plain,( 22.70/3.22 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f427])). 22.70/3.22 tff(f2226,plain,( 22.70/3.22 ~spl30_100 | spl30_200 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2201,f1213,f2224,f1217])). 22.70/3.22 tff(f2201,plain,( 22.70/3.22 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X1) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f378])). 22.70/3.22 tff(f2221,plain,( 22.70/3.22 ~spl30_198 | spl30_199 | spl30_99), 22.70/3.22 inference(avatar_split_clause,[],[f2200,f1213,f2219,f2216])). 22.70/3.22 tff(f2216,plain,( 22.70/3.22 spl30_198 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_198])])). 22.70/3.22 tff(f2200,plain,( 22.70/3.22 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | spl30_99), 22.70/3.22 inference(resolution,[],[f1214,f349])). 22.70/3.22 tff(f2187,plain,( 22.70/3.22 ~spl30_102 | spl30_197 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2153,f1209,f2185,f1225])). 22.70/3.22 tff(f2153,plain,( 22.70/3.22 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X43) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~disjoint_chunks1(X42,X44)) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f463])). 22.70/3.22 tff(f2183,plain,( 22.70/3.22 ~spl30_102 | spl30_196 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2150,f1209,f2180,f1225])). 22.70/3.22 tff(f2150,plain,( 22.70/3.22 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X29 | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f442])). 22.70/3.22 tff(f2182,plain,( 22.70/3.22 ~spl30_102 | spl30_196 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2149,f1209,f2180,f1225])). 22.70/3.22 tff(f2149,plain,( 22.70/3.22 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f442])). 22.70/3.22 tff(f2178,plain,( 22.70/3.22 spl30_193 | spl30_195 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2148,f1209,f2176,f2169])). 22.70/3.22 tff(f2169,plain,( 22.70/3.22 spl30_193 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_193])])). 22.70/3.22 tff(f2176,plain,( 22.70/3.22 spl30_195 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_195])])). 22.70/3.22 tff(f2148,plain,( 22.70/3.22 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f427])). 22.70/3.22 tff(f2174,plain,( 22.70/3.22 spl30_193 | spl30_194 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2147,f1209,f2172,f2169])). 22.70/3.22 tff(f2172,plain,( 22.70/3.22 spl30_194 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_194])])). 22.70/3.22 tff(f2147,plain,( 22.70/3.22 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f427])). 22.70/3.22 tff(f2167,plain,( 22.70/3.22 ~spl30_102 | spl30_192 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2142,f1209,f2165,f1225])). 22.70/3.22 tff(f2142,plain,( 22.70/3.22 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X1) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f378])). 22.70/3.22 tff(f2162,plain,( 22.70/3.22 ~spl30_190 | spl30_191 | spl30_98), 22.70/3.22 inference(avatar_split_clause,[],[f2141,f1209,f2160,f2157])). 22.70/3.22 tff(f2157,plain,( 22.70/3.22 spl30_190 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_190])])). 22.70/3.22 tff(f2141,plain,( 22.70/3.22 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | spl30_98), 22.70/3.22 inference(resolution,[],[f1210,f349])). 22.70/3.22 tff(f2134,plain,( 22.70/3.22 spl30_188 | ~spl30_189 | spl30_153), 22.70/3.22 inference(avatar_split_clause,[],[f2127,f1576,f2132,f2129])). 22.70/3.22 tff(f2129,plain,( 22.70/3.22 spl30_188 <=> $less(sK16(sK13),0)), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_188])])). 22.70/3.22 tff(f2132,plain,( 22.70/3.22 spl30_189 <=> $less(sK16(sK13),81)), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_189])])). 22.70/3.22 tff(f1576,plain,( 22.70/3.22 spl30_153 <=> is_index1(sK16(sK13))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_153])])). 22.70/3.22 tff(f2127,plain,( 22.70/3.22 ~$less(sK16(sK13),81) | $less(sK16(sK13),0) | spl30_153), 22.70/3.22 inference(resolution,[],[f1891,f349])). 22.70/3.22 tff(f1891,plain,( 22.70/3.22 ~is_index1(sK16(sK13)) | spl30_153), 22.70/3.22 inference(avatar_component_clause,[],[f1576])). 22.70/3.22 tff(f2119,plain,( 22.70/3.22 spl30_95 | spl30_187 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2088,f1162,f2117,f1176])). 22.70/3.22 tff(f2117,plain,( 22.70/3.22 spl30_187 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_187])])). 22.70/3.22 tff(f2088,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f421])). 22.70/3.22 tff(f2115,plain,( 22.70/3.22 spl30_95 | spl30_186 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2087,f1162,f2113,f1176])). 22.70/3.22 tff(f2113,plain,( 22.70/3.22 spl30_186 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_186])])). 22.70/3.22 tff(f2087,plain,( 22.70/3.22 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f420])). 22.70/3.22 tff(f2111,plain,( 22.70/3.22 spl30_95 | spl30_185 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2086,f1162,f2109,f1176])). 22.70/3.22 tff(f2109,plain,( 22.70/3.22 spl30_185 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_185])])). 22.70/3.22 tff(f2086,plain,( 22.70/3.22 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f419])). 22.70/3.22 tff(f2107,plain,( 22.70/3.22 spl30_95 | spl30_184 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2084,f1162,f2104,f1176])). 22.70/3.22 tff(f2104,plain,( 22.70/3.22 spl30_184 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_184])])). 22.70/3.22 tff(f2084,plain,( 22.70/3.22 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~$less(X25,9) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f455])). 22.70/3.22 tff(f2106,plain,( 22.70/3.22 spl30_95 | spl30_184 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2083,f1162,f2104,f1176])). 22.70/3.22 tff(f2083,plain,( 22.70/3.22 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f455])). 22.70/3.22 tff(f2102,plain,( 22.70/3.22 spl30_95 | spl30_183 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2082,f1162,f2100,f1176])). 22.70/3.22 tff(f2100,plain,( 22.70/3.22 spl30_183 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_183])])). 22.70/3.22 tff(f2082,plain,( 22.70/3.22 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X14) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f463])). 22.70/3.22 tff(f2098,plain,( 22.70/3.22 spl30_95 | spl30_182 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2081,f1162,f2096,f1176])). 22.70/3.22 tff(f2096,plain,( 22.70/3.22 spl30_182 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_182])])). 22.70/3.22 tff(f2081,plain,( 22.70/3.22 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f378])). 22.70/3.22 tff(f2094,plain,( 22.70/3.22 spl30_95 | spl30_181 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2080,f1162,f2091,f1176])). 22.70/3.22 tff(f2091,plain,( 22.70/3.22 spl30_181 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_181])])). 22.70/3.22 tff(f2080,plain,( 22.70/3.22 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f442])). 22.70/3.22 tff(f2093,plain,( 22.70/3.22 spl30_95 | spl30_181 | ~spl30_92), 22.70/3.22 inference(avatar_split_clause,[],[f2079,f1162,f2091,f1176])). 22.70/3.22 tff(f2079,plain,( 22.70/3.22 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_92), 22.70/3.22 inference(resolution,[],[f1163,f442])). 22.70/3.22 tff(f2078,plain,( 22.70/3.22 spl30_89 | spl30_180 | ~spl30_86), 22.70/3.22 inference(avatar_split_clause,[],[f2047,f1118,f2076,f1132])). 22.70/3.22 tff(f2076,plain,( 22.70/3.22 spl30_180 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.22 introduced(avatar_definition,[new_symbols(naming,[spl30_180])])). 22.70/3.22 tff(f2047,plain,( 22.70/3.22 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_86), 22.70/3.22 inference(resolution,[],[f1119,f421])). 22.70/3.22 tff(f2074,plain,( 22.70/3.22 spl30_89 | spl30_179 | ~spl30_86), 22.70/3.22 inference(avatar_split_clause,[],[f2046,f1118,f2072,f1132])). 22.70/3.24 tff(f2072,plain,( 22.70/3.24 spl30_179 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_179])])). 22.70/3.24 tff(f2046,plain,( 22.70/3.24 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f420])). 22.70/3.24 tff(f2070,plain,( 22.70/3.24 spl30_89 | spl30_178 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2045,f1118,f2068,f1132])). 22.70/3.24 tff(f2068,plain,( 22.70/3.24 spl30_178 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_178])])). 22.70/3.24 tff(f2045,plain,( 22.70/3.24 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f419])). 22.70/3.24 tff(f2066,plain,( 22.70/3.24 spl30_89 | spl30_177 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2043,f1118,f2063,f1132])). 22.70/3.24 tff(f2063,plain,( 22.70/3.24 spl30_177 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_177])])). 22.70/3.24 tff(f2043,plain,( 22.70/3.24 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~$less(X25,9) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f455])). 22.70/3.24 tff(f2065,plain,( 22.70/3.24 spl30_89 | spl30_177 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2042,f1118,f2063,f1132])). 22.70/3.24 tff(f2042,plain,( 22.70/3.24 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f455])). 22.70/3.24 tff(f2061,plain,( 22.70/3.24 spl30_89 | spl30_176 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2041,f1118,f2059,f1132])). 22.70/3.24 tff(f2059,plain,( 22.70/3.24 spl30_176 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_176])])). 22.70/3.24 tff(f2041,plain,( 22.70/3.24 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X14) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f463])). 22.70/3.24 tff(f2057,plain,( 22.70/3.24 spl30_89 | spl30_175 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2040,f1118,f2055,f1132])). 22.70/3.24 tff(f2055,plain,( 22.70/3.24 spl30_175 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_175])])). 22.70/3.24 tff(f2040,plain,( 22.70/3.24 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f378])). 22.70/3.24 tff(f2053,plain,( 22.70/3.24 spl30_89 | spl30_174 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2039,f1118,f2050,f1132])). 22.70/3.24 tff(f2050,plain,( 22.70/3.24 spl30_174 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_174])])). 22.70/3.24 tff(f2039,plain,( 22.70/3.24 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f442])). 22.70/3.24 tff(f2052,plain,( 22.70/3.24 spl30_89 | spl30_174 | ~spl30_86), 22.70/3.24 inference(avatar_split_clause,[],[f2038,f1118,f2050,f1132])). 22.70/3.24 tff(f2038,plain,( 22.70/3.24 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_86), 22.70/3.24 inference(resolution,[],[f1119,f442])). 22.70/3.24 tff(f2037,plain,( 22.70/3.24 spl30_83 | spl30_173 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2006,f1074,f2035,f1088])). 22.70/3.24 tff(f2035,plain,( 22.70/3.24 spl30_173 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X33,X34,9))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_173])])). 22.70/3.24 tff(f2006,plain,( 22.70/3.24 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f421])). 22.70/3.24 tff(f2033,plain,( 22.70/3.24 spl30_83 | spl30_172 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2005,f1074,f2031,f1088])). 22.70/3.24 tff(f2031,plain,( 22.70/3.24 spl30_172 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X31,X32,9))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_172])])). 22.70/3.24 tff(f2005,plain,( 22.70/3.24 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f420])). 22.70/3.24 tff(f2029,plain,( 22.70/3.24 spl30_83 | spl30_171 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2004,f1074,f2027,f1088])). 22.70/3.24 tff(f2027,plain,( 22.70/3.24 spl30_171 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X29,X30,9))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_171])])). 22.70/3.24 tff(f2004,plain,( 22.70/3.24 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f419])). 22.70/3.24 tff(f2025,plain,( 22.70/3.24 spl30_83 | spl30_170 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2002,f1074,f2022,f1088])). 22.70/3.24 tff(f2022,plain,( 22.70/3.24 spl30_170 <=> ! [X16 : map_int_int,X18 : $int,X20 : $int,X17 : array_int,X19 : array_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_170])])). 22.70/3.24 tff(f2002,plain,( 22.70/3.24 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),X25))))))) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~$less(X25,9) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | $less(X25,0) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f455])). 22.70/3.24 tff(f2024,plain,( 22.70/3.24 spl30_83 | spl30_170 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2001,f1074,f2022,f1088])). 22.70/3.24 tff(f2001,plain,( 22.70/3.24 ( ! [X19:array_int,X17:array_int,X20:$int,X18:$int,X16:map_int_int] : (tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))) != tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1) | $less(X20,0) | ~$less(X20,9) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f455])). 22.70/3.24 tff(f2020,plain,( 22.70/3.24 spl30_83 | spl30_169 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f2000,f1074,f2018,f1088])). 22.70/3.24 tff(f2018,plain,( 22.70/3.24 spl30_169 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~disjoint_chunks1(X13,X15) | ~is_index1(X14) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_169])])). 22.70/3.24 tff(f2000,plain,( 22.70/3.24 ( ! [X14:$int,X15:array_int,X13:array_int] : (tb2t1(get2(int,t2tb2(X13),X14)) = tb2t1(get2(int,t2tb2(X13),$sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X14) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~disjoint_chunks1(X13,X15)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f463])). 22.70/3.24 tff(f2016,plain,( 22.70/3.24 spl30_83 | spl30_168 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f1999,f1074,f2014,f1088])). 22.70/3.24 tff(f2014,plain,( 22.70/3.24 spl30_168 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~chunk_valid_indexes1(X10,X12) | ~is_index1(X11))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_168])])). 22.70/3.24 tff(f1999,plain,( 22.70/3.24 ( ! [X12:array_int,X10:array_int,X11:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~chunk_valid_indexes1(X10,X12)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f378])). 22.70/3.24 tff(f2012,plain,( 22.70/3.24 spl30_83 | spl30_167 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f1998,f1074,f2009,f1088])). 22.70/3.24 tff(f2009,plain,( 22.70/3.24 spl30_167 <=> ! [X1 : array_int,X3 : array_int,X0 : map_int_int,X2 : $int,X4 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | $less(X4,0) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1))), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_167])])). 22.70/3.24 tff(f1998,plain,( 22.70/3.24 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~$less(X9,9) | $less(X9,0) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f442])). 22.70/3.24 tff(f2011,plain,( 22.70/3.24 spl30_83 | spl30_167 | ~spl30_80), 22.70/3.24 inference(avatar_split_clause,[],[f1997,f1074,f2009,f1088])). 22.70/3.24 tff(f1997,plain,( 22.70/3.24 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | ~$less(X4,9) | sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X4,0) | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_80), 22.70/3.24 inference(resolution,[],[f1075,f442])). 22.70/3.24 tff(f1971,plain,( 22.70/3.24 spl30_166 | ~spl30_129), 22.70/3.24 inference(avatar_split_clause,[],[f1967,f1435,f1969])). 22.70/3.24 tff(f1967,plain,( 22.70/3.24 81 = length1(int,mk_array1(int,sK4,t2tb(sK5))) | ~spl30_129), 22.70/3.24 inference(forward_demodulation,[],[f1957,f339])). 22.70/3.24 tff(f339,plain,( 22.70/3.24 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 22.70/3.24 inference(cnf_transformation,[],[f81])). 22.70/3.24 tff(f81,plain,( 22.70/3.24 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 22.70/3.24 inference(rectify,[],[f28])). 22.70/3.24 tff(f28,axiom,( 22.70/3.24 ! [X29 : uni] : t2tb2(tb2t2(X29)) = X29), 22.70/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2)). 22.70/3.24 tff(f1957,plain,( 22.70/3.24 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | ~spl30_129), 22.70/3.24 inference(resolution,[],[f1436,f370])). 22.70/3.24 tff(f370,plain,( 22.70/3.24 ( ! [X0:array_int,X1:array_int] : (81 = length1(int,t2tb2(X0)) | ~disjoint_chunks1(X0,X1)) )), 22.70/3.24 inference(cnf_transformation,[],[f186])). 22.70/3.24 tff(f1966,plain,( 22.70/3.24 spl30_165 | ~spl30_129), 22.70/3.24 inference(avatar_split_clause,[],[f1962,f1435,f1964])). 22.70/3.24 tff(f1962,plain,( 22.70/3.24 9 = length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~spl30_129), 22.70/3.24 inference(forward_demodulation,[],[f1956,f339])). 22.70/3.24 tff(f1956,plain,( 22.70/3.24 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_129), 22.70/3.24 inference(resolution,[],[f1436,f369])). 22.70/3.24 tff(f369,plain,( 22.70/3.24 ( ! [X0:array_int,X1:array_int] : (9 = length1(int,t2tb2(X1)) | ~disjoint_chunks1(X0,X1)) )), 22.70/3.24 inference(cnf_transformation,[],[f186])). 22.70/3.24 tff(f1951,plain,( 22.70/3.24 spl30_164 | ~spl30_128), 22.70/3.24 inference(avatar_split_clause,[],[f1947,f1429,f1949])). 22.70/3.24 tff(f1947,plain,( 22.70/3.24 81 = length1(int,mk_array1(int,sK0,t2tb(sK1))) | ~spl30_128), 22.70/3.24 inference(forward_demodulation,[],[f1937,f339])). 22.70/3.24 tff(f1937,plain,( 22.70/3.24 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | ~spl30_128), 22.70/3.24 inference(resolution,[],[f1430,f370])). 22.70/3.24 tff(f1946,plain,( 22.70/3.24 spl30_163 | ~spl30_128), 22.70/3.24 inference(avatar_split_clause,[],[f1942,f1429,f1944])). 22.70/3.24 tff(f1942,plain,( 22.70/3.24 9 = length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~spl30_128), 22.70/3.24 inference(forward_demodulation,[],[f1936,f339])). 22.70/3.24 tff(f1936,plain,( 22.70/3.24 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_128), 22.70/3.24 inference(resolution,[],[f1430,f369])). 22.70/3.24 tff(f1934,plain,( 22.70/3.24 spl30_162 | ~spl30_4), 22.70/3.24 inference(avatar_split_clause,[],[f1930,f586,f1932])). 22.70/3.24 tff(f1930,plain,( 22.70/3.24 9 = length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~spl30_4), 22.70/3.24 inference(forward_demodulation,[],[f1921,f339])). 22.70/3.24 tff(f1921,plain,( 22.70/3.24 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_4), 22.70/3.24 inference(resolution,[],[f1424,f379])). 22.70/3.24 tff(f379,plain,( 22.70/3.24 ( ! [X0:array_int,X1:array_int] : (9 = length1(int,t2tb2(X1)) | ~chunk_valid_indexes1(X0,X1)) )), 22.70/3.24 inference(cnf_transformation,[],[f191])). 22.70/3.24 tff(f1927,plain,( 22.70/3.24 spl30_161 | ~spl30_4), 22.70/3.24 inference(avatar_split_clause,[],[f1923,f586,f1925])). 22.70/3.24 tff(f1923,plain,( 22.70/3.24 81 = length1(int,mk_array1(int,sK8,t2tb(sK9))) | ~spl30_4), 22.70/3.24 inference(forward_demodulation,[],[f1919,f339])). 22.70/3.24 tff(f1919,plain,( 22.70/3.24 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | ~spl30_4), 22.70/3.24 inference(resolution,[],[f1424,f377])). 22.70/3.24 tff(f377,plain,( 22.70/3.24 ( ! [X0:array_int,X1:array_int] : (81 = length1(int,t2tb2(X0)) | ~chunk_valid_indexes1(X0,X1)) )), 22.70/3.24 inference(cnf_transformation,[],[f191])). 22.70/3.24 tff(f1892,plain,( 22.70/3.24 spl30_154 | spl30_136 | ~spl30_153 | ~spl30_9), 22.70/3.24 inference(avatar_split_clause,[],[f1877,f601,f1576,f1481,f1580])). 22.70/3.24 tff(f1580,plain,( 22.70/3.24 spl30_154 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK16(sK13)))),1)), 22.70/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_154])])). 23.06/3.24 tff(f1481,plain,( 23.06/3.24 spl30_136 <=> full1(sK13)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 23.06/3.24 tff(f1877,plain,( 23.06/3.24 ~is_index1(sK16(sK13)) | full1(sK13) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK16(sK13)))),1) | ~spl30_9), 23.06/3.24 inference(resolution,[],[f709,f362])). 23.06/3.24 tff(f362,plain,( 23.06/3.24 ( ! [X0:map_int_int] : (full1(X0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))),1)) )), 23.06/3.24 inference(cnf_transformation,[],[f181])). 23.06/3.24 tff(f709,plain,( 23.06/3.24 ( ! [X0:$int] : (~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(X0)))) | ~is_index1(X0)) ) | ~spl30_9), 23.06/3.24 inference(resolution,[],[f693,f350])). 23.06/3.24 tff(f1706,plain,( 23.06/3.24 ~spl30_72 | spl30_71), 23.06/3.24 inference(avatar_split_clause,[],[f1702,f1032,f1035])). 23.06/3.24 tff(f1032,plain,( 23.06/3.24 spl30_71 <=> $less(sK10,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 23.06/3.24 tff(f1702,plain,( 23.06/3.24 ~is_index1(sK10) | spl30_71), 23.06/3.24 inference(resolution,[],[f1033,f348])). 23.06/3.24 tff(f1033,plain,( 23.06/3.24 ~$less(sK10,81) | spl30_71), 23.06/3.24 inference(avatar_component_clause,[],[f1032])). 23.06/3.24 tff(f1687,plain,( 23.06/3.24 ~spl30_63 | spl30_62), 23.06/3.24 inference(avatar_split_clause,[],[f1683,f925,f928])). 23.06/3.24 tff(f925,plain,( 23.06/3.24 spl30_62 <=> $less(sK8,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 23.06/3.24 tff(f1683,plain,( 23.06/3.24 ~is_index1(sK8) | spl30_62), 23.06/3.24 inference(resolution,[],[f926,f348])). 23.06/3.24 tff(f926,plain,( 23.06/3.24 ~$less(sK8,81) | spl30_62), 23.06/3.24 inference(avatar_component_clause,[],[f925])). 23.06/3.24 tff(f1669,plain,( 23.06/3.24 ~spl30_54 | spl30_53), 23.06/3.24 inference(avatar_split_clause,[],[f1665,f876,f879])). 23.06/3.24 tff(f879,plain,( 23.06/3.24 spl30_54 <=> is_index1(sK6)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 23.06/3.24 tff(f876,plain,( 23.06/3.24 spl30_53 <=> $less(sK6,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 23.06/3.24 tff(f1665,plain,( 23.06/3.24 ~is_index1(sK6) | spl30_53), 23.06/3.24 inference(resolution,[],[f877,f348])). 23.06/3.24 tff(f877,plain,( 23.06/3.24 ~$less(sK6,81) | spl30_53), 23.06/3.24 inference(avatar_component_clause,[],[f876])). 23.06/3.24 tff(f1651,plain,( 23.06/3.24 ~spl30_45 | spl30_44), 23.06/3.24 inference(avatar_split_clause,[],[f1647,f827,f830])). 23.06/3.24 tff(f830,plain,( 23.06/3.24 spl30_45 <=> is_index1(sK4)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 23.06/3.24 tff(f827,plain,( 23.06/3.24 spl30_44 <=> $less(sK4,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_44])])). 23.06/3.24 tff(f1647,plain,( 23.06/3.24 ~is_index1(sK4) | spl30_44), 23.06/3.24 inference(resolution,[],[f828,f348])). 23.06/3.24 tff(f828,plain,( 23.06/3.24 ~$less(sK4,81) | spl30_44), 23.06/3.24 inference(avatar_component_clause,[],[f827])). 23.06/3.24 tff(f1632,plain,( 23.06/3.24 ~spl30_36 | spl30_35), 23.06/3.24 inference(avatar_split_clause,[],[f1628,f778,f781])). 23.06/3.24 tff(f781,plain,( 23.06/3.24 spl30_36 <=> is_index1(sK2)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 23.06/3.24 tff(f778,plain,( 23.06/3.24 spl30_35 <=> $less(sK2,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 23.06/3.24 tff(f1628,plain,( 23.06/3.24 ~is_index1(sK2) | spl30_35), 23.06/3.24 inference(resolution,[],[f779,f348])). 23.06/3.24 tff(f779,plain,( 23.06/3.24 ~$less(sK2,81) | spl30_35), 23.06/3.24 inference(avatar_component_clause,[],[f778])). 23.06/3.24 tff(f1614,plain,( 23.06/3.24 ~spl30_27 | spl30_26), 23.06/3.24 inference(avatar_split_clause,[],[f1610,f729,f732])). 23.06/3.24 tff(f732,plain,( 23.06/3.24 spl30_27 <=> is_index1(sK0)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 23.06/3.24 tff(f729,plain,( 23.06/3.24 spl30_26 <=> $less(sK0,81)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 23.06/3.24 tff(f1610,plain,( 23.06/3.24 ~is_index1(sK0) | spl30_26), 23.06/3.24 inference(resolution,[],[f730,f348])). 23.06/3.24 tff(f730,plain,( 23.06/3.24 ~$less(sK0,81) | spl30_26), 23.06/3.24 inference(avatar_component_clause,[],[f729])). 23.06/3.24 tff(f1606,plain,( 23.06/3.24 ~spl30_158 | ~spl30_159 | ~spl30_160 | spl30_5), 23.06/3.24 inference(avatar_split_clause,[],[f1588,f589,f1604,f1601,f1598])). 23.06/3.24 tff(f589,plain,( 23.06/3.24 spl30_5 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 23.06/3.24 tff(f1588,plain,( 23.06/3.24 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_5), 23.06/3.24 inference(resolution,[],[f590,f418])). 23.06/3.24 tff(f418,plain,( 23.06/3.24 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~valid_column1(X0,X1,sK24(X0,X1,X2)) | ~valid_row1(X0,X1,sK24(X0,X1,X2)) | ~valid_square1(X0,X1,sK24(X0,X1,X2))) )), 23.06/3.24 inference(cnf_transformation,[],[f208])). 23.06/3.24 tff(f590,plain,( 23.06/3.24 ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | spl30_5), 23.06/3.24 inference(avatar_component_clause,[],[f589])). 23.06/3.24 tff(f1596,plain,( 23.06/3.24 ~spl30_157 | spl30_5), 23.06/3.24 inference(avatar_split_clause,[],[f1587,f589,f1594])). 23.06/3.24 tff(f1587,plain,( 23.06/3.24 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | spl30_5), 23.06/3.24 inference(resolution,[],[f590,f417])). 23.06/3.24 tff(f1592,plain,( 23.06/3.24 spl30_156 | spl30_5), 23.06/3.24 inference(avatar_split_clause,[],[f1586,f589,f1590])). 23.06/3.24 tff(f1586,plain,( 23.06/3.24 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | spl30_5), 23.06/3.24 inference(resolution,[],[f590,f416])). 23.06/3.24 tff(f416,plain,( 23.06/3.24 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | $less(sK24(X0,X1,X2),X2)) )), 23.06/3.24 inference(cnf_transformation,[],[f208])). 23.06/3.24 tff(f1585,plain,( 23.06/3.24 spl30_154 | spl30_155 | spl30_136), 23.06/3.24 inference(avatar_split_clause,[],[f1574,f1481,f1583,f1580])). 23.06/3.24 tff(f1583,plain,( 23.06/3.24 spl30_155 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK16(sK13)))))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_155])])). 23.06/3.24 tff(f1574,plain,( 23.06/3.24 $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK16(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK16(sK13)))),1) | spl30_136), 23.06/3.24 inference(resolution,[],[f1482,f362])). 23.06/3.24 tff(f1482,plain,( 23.06/3.24 ~full1(sK13) | spl30_136), 23.06/3.24 inference(avatar_component_clause,[],[f1481])). 23.06/3.24 tff(f1578,plain,( 23.06/3.24 spl30_153 | spl30_136), 23.06/3.24 inference(avatar_split_clause,[],[f1573,f1481,f1576])). 23.06/3.24 tff(f1573,plain,( 23.06/3.24 is_index1(sK16(sK13)) | spl30_136), 23.06/3.24 inference(resolution,[],[f1482,f361])). 23.06/3.24 tff(f361,plain,( 23.06/3.24 ( ! [X0:map_int_int] : (full1(X0) | is_index1(sK16(X0))) )), 23.06/3.24 inference(cnf_transformation,[],[f181])). 23.06/3.24 tff(f1564,plain,( 23.06/3.24 ~spl30_146 | spl30_152 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1535,f660,f1562,f1539])). 23.06/3.24 tff(f1539,plain,( 23.06/3.24 spl30_146 <=> $less(sK14,9)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 23.06/3.24 tff(f1562,plain,( 23.06/3.24 spl30_152 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14)))))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_152])])). 23.06/3.24 tff(f1535,plain,( 23.06/3.24 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14)))) | ~is_index1(X43) | ~$less(sK14,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f463])). 23.06/3.24 tff(f1560,plain,( 23.06/3.24 ~spl30_146 | spl30_151 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1532,f660,f1557,f1539])). 23.06/3.24 tff(f1557,plain,( 23.06/3.24 spl30_151 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK14 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_151])])). 23.06/3.24 tff(f1532,plain,( 23.06/3.24 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK14)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK14)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK14))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK14 = X29 | ~$less(sK14,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f442])). 23.06/3.24 tff(f1559,plain,( 23.06/3.24 ~spl30_146 | spl30_151 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1531,f660,f1557,f1539])). 23.06/3.24 tff(f1531,plain,( 23.06/3.24 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))),1) | ~$less(sK14,9) | sK14 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f442])). 23.06/3.24 tff(f1555,plain,( 23.06/3.24 spl30_148 | spl30_150 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1530,f660,f1553,f1546])). 23.06/3.24 tff(f1553,plain,( 23.06/3.24 spl30_150 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK14,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_150])])). 23.06/3.24 tff(f1530,plain,( 23.06/3.24 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK14,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK14)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f427])). 23.06/3.24 tff(f1551,plain,( 23.06/3.24 spl30_148 | spl30_149 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1529,f660,f1549,f1546])). 23.06/3.24 tff(f1549,plain,( 23.06/3.24 spl30_149 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK14) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_149])])). 23.06/3.24 tff(f1529,plain,( 23.06/3.24 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK14) | $less(81,sK14) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f427])). 23.06/3.24 tff(f1544,plain,( 23.06/3.24 ~spl30_146 | spl30_147 | spl30_16), 23.06/3.24 inference(avatar_split_clause,[],[f1524,f660,f1542,f1539])). 23.06/3.24 tff(f1542,plain,( 23.06/3.24 spl30_147 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK14)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_147])])). 23.06/3.24 tff(f1524,plain,( 23.06/3.24 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK14)))) | ~is_index1(X1) | ~$less(sK14,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_16), 23.06/3.24 inference(resolution,[],[f661,f378])). 23.06/3.24 tff(f1521,plain,( 23.06/3.24 ~spl30_8 | ~spl30_3 | spl30_145 | ~spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1324,f624,f1519,f583,f598])). 23.06/3.24 tff(f1324,plain,( 23.06/3.24 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(sK14) | ~included1(X2,sK13)) ) | ~spl30_13), 23.06/3.24 inference(resolution,[],[f625,f367])). 23.06/3.24 tff(f625,plain,( 23.06/3.24 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_13), 23.06/3.24 inference(avatar_component_clause,[],[f624])). 23.06/3.24 tff(f1517,plain,( 23.06/3.24 ~spl30_8 | ~spl30_4 | spl30_144 | ~spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1397,f610,f1515,f586,f598])). 23.06/3.24 tff(f1397,plain,( 23.06/3.24 ( ! [X2:map_int_int] : (valid_chunk1(X2,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(X2,sK13)) ) | ~spl30_11), 23.06/3.24 inference(resolution,[],[f611,f367])). 23.06/3.24 tff(f1513,plain,( 23.06/3.24 ~spl30_8 | ~spl30_6 | spl30_143 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1197,f614,f1511,f592,f598])). 23.06/3.24 tff(f1197,plain,( 23.06/3.24 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~included1(sK13,X0)) ) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f367])). 23.06/3.24 tff(f1509,plain,( 23.06/3.24 ~spl30_140 | ~spl30_141 | ~spl30_142 | spl30_1), 23.06/3.24 inference(avatar_split_clause,[],[f1493,f577,f1507,f1504,f1501])). 23.06/3.24 tff(f1493,plain,( 23.06/3.24 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | spl30_1), 23.06/3.24 inference(resolution,[],[f578,f418])). 23.06/3.24 tff(f578,plain,( 23.06/3.24 ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | spl30_1), 23.06/3.24 inference(avatar_component_clause,[],[f577])). 23.06/3.24 tff(f1499,plain,( 23.06/3.24 ~spl30_139 | spl30_1), 23.06/3.24 inference(avatar_split_clause,[],[f1492,f577,f1495])). 23.06/3.24 tff(f1492,plain,( 23.06/3.24 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | spl30_1), 23.06/3.24 inference(resolution,[],[f578,f417])). 23.06/3.24 tff(f1497,plain,( 23.06/3.24 spl30_139 | spl30_1), 23.06/3.24 inference(avatar_split_clause,[],[f1491,f577,f1495])). 23.06/3.24 tff(f1491,plain,( 23.06/3.24 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | spl30_1), 23.06/3.24 inference(resolution,[],[f578,f416])). 23.06/3.24 tff(f1490,plain,( 23.06/3.24 ~spl30_23 | spl30_138 | ~spl30_7), 23.06/3.24 inference(avatar_split_clause,[],[f1476,f595,f1488,f696])). 23.06/3.24 tff(f1488,plain,( 23.06/3.24 spl30_138 <=> ! [X1 : map_int_int] : (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1) | ~included1(X1,sK13))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 23.06/3.24 tff(f1476,plain,( 23.06/3.24 ( ! [X1:map_int_int] : (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1) | ~included1(X1,sK13) | ~well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | ~spl30_7), 23.06/3.24 inference(resolution,[],[f596,f405])). 23.06/3.24 tff(f1486,plain,( 23.06/3.24 ~spl30_136 | spl30_137 | ~spl30_7), 23.06/3.24 inference(avatar_split_clause,[],[f1475,f595,f1484,f1481])). 23.06/3.24 tff(f1484,plain,( 23.06/3.24 spl30_137 <=> ! [X0 : map_int_int] : (is_solution_for1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0) | ~included1(X0,sK13))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_137])])). 23.06/3.24 tff(f1475,plain,( 23.06/3.24 ( ! [X0:map_int_int] : (is_solution_for1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0) | ~included1(X0,sK13) | ~full1(sK13)) ) | ~spl30_7), 23.06/3.24 inference(resolution,[],[f596,f412])). 23.06/3.24 tff(f412,plain,( 23.06/3.24 ( ! [X2:map_int_int,X0:sudoku_chunks1,X1:map_int_int] : (is_solution_for1(X0,X1,X2) | ~included1(X2,X1) | ~valid1(X0,X1) | ~full1(X1)) )), 23.06/3.24 inference(cnf_transformation,[],[f204])). 23.06/3.24 tff(f204,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (((included1(X2,X1) & valid1(X0,X1) & full1(X1)) | ~is_solution_for1(X0,X1,X2)) & (is_solution_for1(X0,X1,X2) | ~included1(X2,X1) | ~valid1(X0,X1) | ~full1(X1)))), 23.06/3.24 inference(flattening,[],[f203])). 23.06/3.24 tff(f203,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (((included1(X2,X1) & valid1(X0,X1) & full1(X1)) | ~is_solution_for1(X0,X1,X2)) & (is_solution_for1(X0,X1,X2) | (~included1(X2,X1) | ~valid1(X0,X1) | ~full1(X1))))), 23.06/3.24 inference(nnf_transformation,[],[f112])). 23.06/3.24 tff(f112,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : ((included1(X2,X1) & valid1(X0,X1) & full1(X1)) <=> is_solution_for1(X0,X1,X2))), 23.06/3.24 inference(rectify,[],[f53])). 23.06/3.24 tff(f53,axiom,( 23.06/3.24 ! [X3 : sudoku_chunks1,X35 : map_int_int,X36 : map_int_int] : ((included1(X36,X35) & valid1(X3,X35) & full1(X35)) <=> is_solution_for1(X3,X35,X36))), 23.06/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_solution_for_def)). 23.06/3.24 tff(f1474,plain,( 23.06/3.24 ~spl30_133 | ~spl30_134 | ~spl30_135 | spl30_7), 23.06/3.24 inference(avatar_split_clause,[],[f1455,f595,f1472,f1469,f1466])). 23.06/3.24 tff(f1455,plain,( 23.06/3.24 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | spl30_7), 23.06/3.24 inference(resolution,[],[f635,f385])). 23.06/3.24 tff(f635,plain,( 23.06/3.24 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | spl30_7), 23.06/3.24 inference(avatar_component_clause,[],[f595])). 23.06/3.24 tff(f1464,plain,( 23.06/3.24 spl30_132 | spl30_7), 23.06/3.24 inference(avatar_split_clause,[],[f1454,f595,f1462])). 23.06/3.24 tff(f1454,plain,( 23.06/3.24 is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | spl30_7), 23.06/3.24 inference(resolution,[],[f635,f384])). 23.06/3.24 tff(f384,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | is_index1(sK22(X0,X1))) )), 23.06/3.24 inference(cnf_transformation,[],[f195])). 23.06/3.24 tff(f1460,plain,( 23.06/3.24 ~spl30_23 | spl30_131 | spl30_7), 23.06/3.24 inference(avatar_split_clause,[],[f1453,f595,f1458,f696])). 23.06/3.24 tff(f1453,plain,( 23.06/3.24 ( ! [X1:map_int_int] : (~included1(sK13,X1) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),X1) | ~well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | spl30_7), 23.06/3.24 inference(resolution,[],[f635,f405])). 23.06/3.24 tff(f1451,plain,( 23.06/3.24 spl30_3 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1449,f696,f583])). 23.06/3.24 tff(f1449,plain,( 23.06/3.24 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1448,f457])). 23.06/3.24 tff(f1448,plain,( 23.06/3.24 chunk_valid_indexes1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1420,f460])). 23.06/3.24 tff(f1420,plain,( 23.06/3.24 chunk_valid_indexes1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f360])). 23.06/3.24 tff(f360,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f177,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1] : (((chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0))) | ~well_formed_sudoku1(X0)) & (well_formed_sudoku1(X0) | ~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0))))), 23.06/3.24 inference(flattening,[],[f176])). 23.06/3.24 tff(f176,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1] : (((chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0))) | ~well_formed_sudoku1(X0)) & (well_formed_sudoku1(X0) | (~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)))))), 23.06/3.24 inference(nnf_transformation,[],[f89])). 23.06/3.24 tff(f89,plain,( 23.06/3.24 ! [X0 : sudoku_chunks1] : ((chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0))) <=> well_formed_sudoku1(X0))), 23.06/3.24 inference(rectify,[],[f48])). 23.06/3.24 tff(f48,axiom,( 23.06/3.24 ! [X3 : sudoku_chunks1] : ((chunk_valid_indexes1(column_start1(X3),column_offsets1(X3)) & chunk_valid_indexes1(row_start1(X3),row_offsets1(X3)) & disjoint_chunks1(square_start1(X3),square_offsets1(X3)) & disjoint_chunks1(row_start1(X3),row_offsets1(X3)) & disjoint_chunks1(column_start1(X3),column_offsets1(X3)) & chunk_valid_indexes1(square_start1(X3),square_offsets1(X3))) <=> well_formed_sudoku1(X3))), 23.06/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_formed_sudoku_def)). 23.06/3.24 tff(f1447,plain,( 23.06/3.24 spl30_6 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1445,f696,f592])). 23.06/3.24 tff(f1445,plain,( 23.06/3.24 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1444,f461])). 23.06/3.24 tff(f1444,plain,( 23.06/3.24 chunk_valid_indexes1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1419,f456])). 23.06/3.24 tff(f1419,plain,( 23.06/3.24 chunk_valid_indexes1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f359])). 23.06/3.24 tff(f359,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f1443,plain,( 23.06/3.24 spl30_130 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1439,f696,f1441])). 23.06/3.24 tff(f1439,plain,( 23.06/3.24 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1438,f458])). 23.06/3.24 tff(f1438,plain,( 23.06/3.24 disjoint_chunks1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1418,f459])). 23.06/3.24 tff(f1418,plain,( 23.06/3.24 disjoint_chunks1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f358])). 23.06/3.24 tff(f358,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f1437,plain,( 23.06/3.24 spl30_129 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1433,f696,f1435])). 23.06/3.24 tff(f1433,plain,( 23.06/3.24 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1432,f461])). 23.06/3.24 tff(f1432,plain,( 23.06/3.24 disjoint_chunks1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1417,f456])). 23.06/3.24 tff(f1417,plain,( 23.06/3.24 disjoint_chunks1(row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),row_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f357])). 23.06/3.24 tff(f357,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f1431,plain,( 23.06/3.24 spl30_128 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1427,f696,f1429])). 23.06/3.24 tff(f1427,plain,( 23.06/3.24 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1426,f457])). 23.06/3.24 tff(f1426,plain,( 23.06/3.24 disjoint_chunks1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1416,f460])). 23.06/3.24 tff(f1416,plain,( 23.06/3.24 disjoint_chunks1(column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),column_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f356])). 23.06/3.24 tff(f356,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f1425,plain,( 23.06/3.24 spl30_4 | ~spl30_23), 23.06/3.24 inference(avatar_split_clause,[],[f1423,f696,f586])). 23.06/3.24 tff(f1423,plain,( 23.06/3.24 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1422,f458])). 23.06/3.24 tff(f1422,plain,( 23.06/3.24 chunk_valid_indexes1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_23), 23.06/3.24 inference(forward_demodulation,[],[f1415,f459])). 23.06/3.24 tff(f1415,plain,( 23.06/3.24 chunk_valid_indexes1(square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_23), 23.06/3.24 inference(resolution,[],[f697,f355])). 23.06/3.24 tff(f355,plain,( 23.06/3.24 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 23.06/3.24 inference(cnf_transformation,[],[f177])). 23.06/3.24 tff(f1395,plain,( 23.06/3.24 spl30_127 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1391,f610,f1393])). 23.06/3.24 tff(f1391,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1390,f339])). 23.06/3.24 tff(f1390,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1345,f339])). 23.06/3.24 tff(f1345,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f441])). 23.06/3.24 tff(f441,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3)))))))) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1389,plain,( 23.06/3.24 ~spl30_126 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1385,f610,f1387])). 23.06/3.24 tff(f1385,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1384,f339])). 23.06/3.24 tff(f1384,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1344,f339])). 23.06/3.24 tff(f1344,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f440])). 23.06/3.24 tff(f440,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))),1)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1383,plain,( 23.06/3.24 ~spl30_125 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1379,f610,f1381])). 23.06/3.24 tff(f1379,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1378,f339])). 23.06/3.24 tff(f1378,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1343,f339])). 23.06/3.24 tff(f1343,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f439])). 23.06/3.24 tff(f439,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))))) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1377,plain,( 23.06/3.24 ~spl30_124 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1373,f610,f1375])). 23.06/3.24 tff(f1373,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1372,f339])). 23.06/3.24 tff(f1372,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1342,f339])). 23.06/3.24 tff(f1342,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f438])). 23.06/3.24 tff(f438,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))))) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1371,plain,( 23.06/3.24 ~spl30_123 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1367,f610,f1369])). 23.06/3.24 tff(f1367,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1366,f339])). 23.06/3.24 tff(f1366,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(forward_demodulation,[],[f1341,f339])). 23.06/3.24 tff(f1341,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f437])). 23.06/3.24 tff(f437,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1365,plain,( 23.06/3.24 spl30_122 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1340,f610,f1363])). 23.06/3.24 tff(f1340,plain,( 23.06/3.24 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f436])). 23.06/3.24 tff(f436,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK26(X0,X1,X2,X3),9)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1361,plain,( 23.06/3.24 ~spl30_121 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1339,f610,f1359])). 23.06/3.24 tff(f1339,plain,( 23.06/3.24 sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f435])). 23.06/3.24 tff(f435,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1357,plain,( 23.06/3.24 spl30_120 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1338,f610,f1355])). 23.06/3.24 tff(f1338,plain,( 23.06/3.24 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f434])). 23.06/3.24 tff(f434,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK27(X0,X1,X2,X3),9)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1353,plain,( 23.06/3.24 ~spl30_119 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1337,f610,f1351])). 23.06/3.24 tff(f1337,plain,( 23.06/3.24 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f433])). 23.06/3.24 tff(f433,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK27(X0,X1,X2,X3),0)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1349,plain,( 23.06/3.24 ~spl30_118 | spl30_11), 23.06/3.24 inference(avatar_split_clause,[],[f1336,f610,f1347])). 23.06/3.24 tff(f1336,plain,( 23.06/3.24 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_11), 23.06/3.24 inference(resolution,[],[f636,f432])). 23.06/3.24 tff(f432,plain,( 23.06/3.24 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK26(X0,X1,X2,X3),0)) )), 23.06/3.24 inference(cnf_transformation,[],[f216])). 23.06/3.24 tff(f1322,plain,( 23.06/3.24 spl30_117 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1318,f624,f1320])). 23.06/3.24 tff(f1318,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1317,f339])). 23.06/3.24 tff(f1317,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1272,f339])). 23.06/3.24 tff(f1272,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f441])). 23.06/3.24 tff(f1316,plain,( 23.06/3.24 ~spl30_116 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1312,f624,f1314])). 23.06/3.24 tff(f1312,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1311,f339])). 23.06/3.24 tff(f1311,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1271,f339])). 23.06/3.24 tff(f1271,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f440])). 23.06/3.24 tff(f1310,plain,( 23.06/3.24 ~spl30_115 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1306,f624,f1308])). 23.06/3.24 tff(f1306,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1305,f339])). 23.06/3.24 tff(f1305,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1270,f339])). 23.06/3.24 tff(f1270,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f439])). 23.06/3.24 tff(f1304,plain,( 23.06/3.24 ~spl30_114 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1300,f624,f1302])). 23.06/3.24 tff(f1300,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1299,f339])). 23.06/3.24 tff(f1299,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1269,f339])). 23.06/3.24 tff(f1269,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f438])). 23.06/3.24 tff(f1298,plain,( 23.06/3.24 ~spl30_113 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1294,f624,f1296])). 23.06/3.24 tff(f1294,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1293,f339])). 23.06/3.24 tff(f1293,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(forward_demodulation,[],[f1268,f339])). 23.06/3.24 tff(f1268,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f437])). 23.06/3.24 tff(f1292,plain,( 23.06/3.24 spl30_112 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1267,f624,f1290])). 23.06/3.24 tff(f1267,plain,( 23.06/3.24 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f436])). 23.06/3.24 tff(f1288,plain,( 23.06/3.24 ~spl30_111 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1266,f624,f1286])). 23.06/3.24 tff(f1266,plain,( 23.06/3.24 sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f435])). 23.06/3.24 tff(f1284,plain,( 23.06/3.24 spl30_110 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1265,f624,f1282])). 23.06/3.24 tff(f1265,plain,( 23.06/3.24 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f434])). 23.06/3.24 tff(f1280,plain,( 23.06/3.24 ~spl30_109 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1264,f624,f1278])). 23.06/3.24 tff(f1264,plain,( 23.06/3.24 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f433])). 23.06/3.24 tff(f1276,plain,( 23.06/3.24 ~spl30_108 | spl30_13), 23.06/3.24 inference(avatar_split_clause,[],[f1263,f624,f1274])). 23.06/3.24 tff(f1263,plain,( 23.06/3.24 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_13), 23.06/3.24 inference(resolution,[],[f627,f432])). 23.06/3.24 tff(f1261,plain,( 23.06/3.24 ~spl30_104 | spl30_105 | ~spl30_107), 23.06/3.24 inference(avatar_split_clause,[],[f1260,f1255,f1243,f1237])). 23.06/3.24 tff(f1243,plain,( 23.06/3.24 spl30_105 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 23.06/3.24 tff(f1260,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | (spl30_105 | ~spl30_107)), 23.06/3.24 inference(forward_demodulation,[],[f1244,f1256])). 23.06/3.24 tff(f1244,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_105), 23.06/3.24 inference(avatar_component_clause,[],[f1243])). 23.06/3.24 tff(f1259,plain,( 23.06/3.24 ~spl30_103 | spl30_106 | ~spl30_107), 23.06/3.24 inference(avatar_split_clause,[],[f1258,f1255,f1249,f1231])). 23.06/3.24 tff(f1249,plain,( 23.06/3.24 spl30_106 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1)), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 23.06/3.24 tff(f1258,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | (spl30_106 | ~spl30_107)), 23.06/3.24 inference(forward_demodulation,[],[f1250,f1256])). 23.06/3.24 tff(f1250,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_106), 23.06/3.24 inference(avatar_component_clause,[],[f1249])). 23.06/3.24 tff(f1257,plain,( 23.06/3.24 spl30_107 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1253,f614,f1255])). 23.06/3.24 tff(f1253,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1252,f339])). 23.06/3.24 tff(f1252,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1207,f339])). 23.06/3.24 tff(f1207,plain,( 23.06/3.24 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f441])). 23.06/3.24 tff(f1251,plain,( 23.06/3.24 ~spl30_106 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1247,f614,f1249])). 23.06/3.24 tff(f1247,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1246,f339])). 23.06/3.24 tff(f1246,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1206,f339])). 23.06/3.24 tff(f1206,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f440])). 23.06/3.24 tff(f1245,plain,( 23.06/3.24 ~spl30_105 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1241,f614,f1243])). 23.06/3.24 tff(f1241,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1240,f339])). 23.06/3.24 tff(f1240,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1205,f339])). 23.06/3.24 tff(f1205,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f439])). 23.06/3.24 tff(f1239,plain,( 23.06/3.24 ~spl30_104 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1235,f614,f1237])). 23.06/3.24 tff(f1235,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1234,f339])). 23.06/3.24 tff(f1234,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1204,f339])). 23.06/3.24 tff(f1204,plain,( 23.06/3.24 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f438])). 23.06/3.24 tff(f1233,plain,( 23.06/3.24 ~spl30_103 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1229,f614,f1231])). 23.06/3.24 tff(f1229,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1228,f339])). 23.06/3.24 tff(f1228,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(forward_demodulation,[],[f1203,f339])). 23.06/3.24 tff(f1203,plain,( 23.06/3.24 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f437])). 23.06/3.24 tff(f1227,plain,( 23.06/3.24 spl30_102 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1202,f614,f1225])). 23.06/3.24 tff(f1202,plain,( 23.06/3.24 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f436])). 23.06/3.24 tff(f1223,plain,( 23.06/3.24 ~spl30_101 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1201,f614,f1221])). 23.06/3.24 tff(f1201,plain,( 23.06/3.24 sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f435])). 23.06/3.24 tff(f1219,plain,( 23.06/3.24 spl30_100 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1200,f614,f1217])). 23.06/3.24 tff(f1200,plain,( 23.06/3.24 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f434])). 23.06/3.24 tff(f1215,plain,( 23.06/3.24 ~spl30_99 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1199,f614,f1213])). 23.06/3.24 tff(f1199,plain,( 23.06/3.24 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f433])). 23.06/3.24 tff(f1211,plain,( 23.06/3.24 ~spl30_98 | spl30_12), 23.06/3.24 inference(avatar_split_clause,[],[f1198,f614,f1209])). 23.06/3.24 tff(f1198,plain,( 23.06/3.24 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_12), 23.06/3.24 inference(resolution,[],[f617,f432])). 23.06/3.24 tff(f1196,plain,( 23.06/3.24 ~spl30_93 | ~spl30_97 | ~spl30_94 | spl30_6), 23.06/3.24 inference(avatar_split_clause,[],[f1192,f592,f1168,f1194,f1165])). 23.06/3.24 tff(f1192,plain,( 23.06/3.24 81 != sK4 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != sK6 | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1191,f397])). 23.06/3.24 tff(f1191,plain,( 23.06/3.24 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != sK6 | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1190,f339])). 23.06/3.24 tff(f1190,plain,( 23.06/3.24 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != sK6 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1189,f339])). 23.06/3.24 tff(f1189,plain,( 23.06/3.24 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != sK6 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1188,f339])). 23.06/3.24 tff(f1188,plain,( 23.06/3.24 9 != sK6 | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1187,f397])). 23.06/3.24 tff(f1187,plain,( 23.06/3.24 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1156,f339])). 23.06/3.24 tff(f1156,plain,( 23.06/3.24 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(resolution,[],[f593,f383])). 23.06/3.24 tff(f383,plain,( 23.06/3.24 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1))))) | 81 != length1(int,t2tb2(X0))) )), 23.06/3.24 inference(cnf_transformation,[],[f191])). 23.06/3.24 tff(f593,plain,( 23.06/3.24 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_6), 23.06/3.24 inference(avatar_component_clause,[],[f592])). 23.06/3.24 tff(f1186,plain,( 23.06/3.24 spl30_96 | ~spl30_93 | ~spl30_94 | spl30_6), 23.06/3.24 inference(avatar_split_clause,[],[f1182,f592,f1168,f1165,f1184])). 23.06/3.24 tff(f1184,plain,( 23.06/3.24 spl30_96 <=> is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 23.06/3.24 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 23.06/3.24 tff(f1182,plain,( 23.06/3.24 81 != sK4 | 9 != sK6 | is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1181,f397])). 23.06/3.24 tff(f1181,plain,( 23.06/3.24 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1180,f339])). 23.06/3.24 tff(f1180,plain,( 23.06/3.24 9 != sK6 | is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1179,f397])). 23.06/3.24 tff(f1179,plain,( 23.06/3.24 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1155,f339])). 23.06/3.24 tff(f1155,plain,( 23.06/3.24 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | is_index1(sK20(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(resolution,[],[f593,f382])). 23.06/3.24 tff(f382,plain,( 23.06/3.24 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | is_index1(sK20(X0,X1)) | 81 != length1(int,t2tb2(X0))) )), 23.06/3.24 inference(cnf_transformation,[],[f191])). 23.06/3.24 tff(f1178,plain,( 23.06/3.24 ~spl30_95 | ~spl30_93 | ~spl30_94 | spl30_6), 23.06/3.24 inference(avatar_split_clause,[],[f1174,f592,f1168,f1165,f1176])). 23.06/3.24 tff(f1174,plain,( 23.06/3.24 81 != sK4 | 9 != sK6 | ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1173,f397])). 23.06/3.24 tff(f1173,plain,( 23.06/3.24 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1172,f339])). 23.06/3.24 tff(f1172,plain,( 23.06/3.24 9 != sK6 | ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1171,f397])). 23.06/3.24 tff(f1171,plain,( 23.06/3.24 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1154,f339])). 23.06/3.24 tff(f1154,plain,( 23.06/3.24 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~$less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(resolution,[],[f593,f381])). 23.06/3.24 tff(f381,plain,( 23.06/3.24 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | ~$less(sK21(X0,X1),0) | 81 != length1(int,t2tb2(X0))) )), 23.06/3.24 inference(cnf_transformation,[],[f191])). 23.06/3.24 tff(f1170,plain,( 23.06/3.24 spl30_92 | ~spl30_93 | ~spl30_94 | spl30_6), 23.06/3.24 inference(avatar_split_clause,[],[f1160,f592,f1168,f1165,f1162])). 23.06/3.24 tff(f1160,plain,( 23.06/3.24 81 != sK4 | 9 != sK6 | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1159,f397])). 23.06/3.24 tff(f1159,plain,( 23.06/3.24 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1158,f339])). 23.06/3.24 tff(f1158,plain,( 23.06/3.24 9 != sK6 | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1157,f397])). 23.06/3.24 tff(f1157,plain,( 23.06/3.24 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(forward_demodulation,[],[f1153,f339])). 23.06/3.24 tff(f1153,plain,( 23.06/3.24 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK21(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_6), 23.06/3.24 inference(resolution,[],[f593,f380])). 23.06/3.24 tff(f380,plain,( 23.06/3.24 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | 9 != length1(int,t2tb2(X1)) | $less(sK21(X0,X1),9) | 81 != length1(int,t2tb2(X0))) )), 23.06/3.24 inference(cnf_transformation,[],[f191])). 23.06/3.24 tff(f1152,plain,( 23.06/3.24 ~spl30_87 | ~spl30_91 | ~spl30_88 | spl30_4), 23.06/3.24 inference(avatar_split_clause,[],[f1148,f586,f1124,f1150,f1121])). 23.06/3.24 tff(f1148,plain,( 23.06/3.24 81 != sK8 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != sK10 | spl30_4), 23.06/3.24 inference(forward_demodulation,[],[f1147,f397])). 23.06/3.25 tff(f1147,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != sK10 | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1146,f339])). 23.06/3.25 tff(f1146,plain,( 23.06/3.25 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != sK10 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1145,f339])). 23.06/3.25 tff(f1145,plain,( 23.06/3.25 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != sK10 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1144,f339])). 23.06/3.25 tff(f1144,plain,( 23.06/3.25 9 != sK10 | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1143,f397])). 23.06/3.25 tff(f1143,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1112,f339])). 23.06/3.25 tff(f1112,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(resolution,[],[f587,f383])). 23.06/3.25 tff(f587,plain,( 23.06/3.25 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_4), 23.06/3.25 inference(avatar_component_clause,[],[f586])). 23.06/3.25 tff(f1142,plain,( 23.06/3.25 spl30_90 | ~spl30_87 | ~spl30_88 | spl30_4), 23.06/3.25 inference(avatar_split_clause,[],[f1138,f586,f1124,f1121,f1140])). 23.06/3.25 tff(f1140,plain,( 23.06/3.25 spl30_90 <=> is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_90])])). 23.06/3.25 tff(f1138,plain,( 23.06/3.25 81 != sK8 | 9 != sK10 | is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1137,f397])). 23.06/3.25 tff(f1137,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1136,f339])). 23.06/3.25 tff(f1136,plain,( 23.06/3.25 9 != sK10 | is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1135,f397])). 23.06/3.25 tff(f1135,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1111,f339])). 23.06/3.25 tff(f1111,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | is_index1(sK20(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(resolution,[],[f587,f382])). 23.06/3.25 tff(f1134,plain,( 23.06/3.25 ~spl30_89 | ~spl30_87 | ~spl30_88 | spl30_4), 23.06/3.25 inference(avatar_split_clause,[],[f1130,f586,f1124,f1121,f1132])). 23.06/3.25 tff(f1130,plain,( 23.06/3.25 81 != sK8 | 9 != sK10 | ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1129,f397])). 23.06/3.25 tff(f1129,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1128,f339])). 23.06/3.25 tff(f1128,plain,( 23.06/3.25 9 != sK10 | ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1127,f397])). 23.06/3.25 tff(f1127,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1110,f339])). 23.06/3.25 tff(f1110,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~$less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(resolution,[],[f587,f381])). 23.06/3.25 tff(f1126,plain,( 23.06/3.25 spl30_86 | ~spl30_87 | ~spl30_88 | spl30_4), 23.06/3.25 inference(avatar_split_clause,[],[f1116,f586,f1124,f1121,f1118])). 23.06/3.25 tff(f1116,plain,( 23.06/3.25 81 != sK8 | 9 != sK10 | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1115,f397])). 23.06/3.25 tff(f1115,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1114,f339])). 23.06/3.25 tff(f1114,plain,( 23.06/3.25 9 != sK10 | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1113,f397])). 23.06/3.25 tff(f1113,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(forward_demodulation,[],[f1109,f339])). 23.06/3.25 tff(f1109,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK21(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_4), 23.06/3.25 inference(resolution,[],[f587,f380])). 23.06/3.25 tff(f1108,plain,( 23.06/3.25 ~spl30_81 | ~spl30_85 | ~spl30_82 | spl30_3), 23.06/3.25 inference(avatar_split_clause,[],[f1104,f583,f1080,f1106,f1077])). 23.06/3.25 tff(f1104,plain,( 23.06/3.25 81 != sK0 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != sK2 | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1103,f397])). 23.06/3.25 tff(f1103,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != sK2 | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1102,f339])). 23.06/3.25 tff(f1102,plain,( 23.06/3.25 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != sK2 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1101,f339])). 23.06/3.25 tff(f1101,plain,( 23.06/3.25 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != sK2 | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1100,f339])). 23.06/3.25 tff(f1100,plain,( 23.06/3.25 9 != sK2 | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1099,f397])). 23.06/3.25 tff(f1099,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1068,f339])). 23.06/3.25 tff(f1068,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(resolution,[],[f584,f383])). 23.06/3.25 tff(f584,plain,( 23.06/3.25 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_3), 23.06/3.25 inference(avatar_component_clause,[],[f583])). 23.06/3.25 tff(f1098,plain,( 23.06/3.25 spl30_84 | ~spl30_81 | ~spl30_82 | spl30_3), 23.06/3.25 inference(avatar_split_clause,[],[f1094,f583,f1080,f1077,f1096])). 23.06/3.25 tff(f1096,plain,( 23.06/3.25 spl30_84 <=> is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 23.06/3.25 tff(f1094,plain,( 23.06/3.25 81 != sK0 | 9 != sK2 | is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1093,f397])). 23.06/3.25 tff(f1093,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1092,f339])). 23.06/3.25 tff(f1092,plain,( 23.06/3.25 9 != sK2 | is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1091,f397])). 23.06/3.25 tff(f1091,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1067,f339])). 23.06/3.25 tff(f1067,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | is_index1(sK20(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(resolution,[],[f584,f382])). 23.06/3.25 tff(f1090,plain,( 23.06/3.25 ~spl30_83 | ~spl30_81 | ~spl30_82 | spl30_3), 23.06/3.25 inference(avatar_split_clause,[],[f1086,f583,f1080,f1077,f1088])). 23.06/3.25 tff(f1086,plain,( 23.06/3.25 81 != sK0 | 9 != sK2 | ~$less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1085,f397])). 23.06/3.25 tff(f1085,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | ~$less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1084,f339])). 23.06/3.25 tff(f1084,plain,( 23.06/3.25 9 != sK2 | ~$less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1083,f397])). 23.06/3.25 tff(f1083,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~$less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1066,f339])). 23.06/3.25 tff(f1066,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~$less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(resolution,[],[f584,f381])). 23.06/3.25 tff(f1082,plain,( 23.06/3.25 spl30_80 | ~spl30_81 | ~spl30_82 | spl30_3), 23.06/3.25 inference(avatar_split_clause,[],[f1072,f583,f1080,f1077,f1074])). 23.06/3.25 tff(f1072,plain,( 23.06/3.25 81 != sK0 | 9 != sK2 | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1071,f397])). 23.06/3.25 tff(f1071,plain,( 23.06/3.25 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1070,f339])). 23.06/3.25 tff(f1070,plain,( 23.06/3.25 9 != sK2 | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1069,f397])). 23.06/3.25 tff(f1069,plain,( 23.06/3.25 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(forward_demodulation,[],[f1065,f339])). 23.06/3.25 tff(f1065,plain,( 23.06/3.25 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK21(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_3), 23.06/3.25 inference(resolution,[],[f584,f380])). 23.06/3.25 tff(f1064,plain,( 23.06/3.25 ~spl30_73 | spl30_79 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1028,f700,f1062,f1039])). 23.06/3.25 tff(f1039,plain,( 23.06/3.25 spl30_73 <=> $less(sK10,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 23.06/3.25 tff(f1062,plain,( 23.06/3.25 spl30_79 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 23.06/3.25 tff(f1028,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10)))) | ~is_index1(X43) | ~$less(sK10,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f463])). 23.06/3.25 tff(f1060,plain,( 23.06/3.25 ~spl30_73 | spl30_78 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1025,f700,f1057,f1039])). 23.06/3.25 tff(f1057,plain,( 23.06/3.25 spl30_78 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK10 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 23.06/3.25 tff(f1025,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK10)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK10)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK10))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK10 = X29 | ~$less(sK10,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f442])). 23.06/3.25 tff(f1059,plain,( 23.06/3.25 ~spl30_73 | spl30_78 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1024,f700,f1057,f1039])). 23.06/3.25 tff(f1024,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))),1) | ~$less(sK10,9) | sK10 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f442])). 23.06/3.25 tff(f1055,plain,( 23.06/3.25 spl30_75 | spl30_77 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1023,f700,f1053,f1046])). 23.06/3.25 tff(f1046,plain,( 23.06/3.25 spl30_75 <=> $less(81,sK10)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_75])])). 23.06/3.25 tff(f1053,plain,( 23.06/3.25 spl30_77 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK10,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_77])])). 23.06/3.25 tff(f1023,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK10,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK10)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f427])). 23.06/3.25 tff(f1051,plain,( 23.06/3.25 spl30_75 | spl30_76 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1022,f700,f1049,f1046])). 23.06/3.25 tff(f1049,plain,( 23.06/3.25 spl30_76 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK10) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 23.06/3.25 tff(f1022,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK10) | $less(81,sK10) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f427])). 23.06/3.25 tff(f1044,plain,( 23.06/3.25 ~spl30_73 | spl30_74 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1017,f700,f1042,f1039])). 23.06/3.25 tff(f1042,plain,( 23.06/3.25 spl30_74 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK10)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 23.06/3.25 tff(f1017,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK10)))) | ~is_index1(X1) | ~$less(sK10,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f378])). 23.06/3.25 tff(f1037,plain,( 23.06/3.25 ~spl30_71 | spl30_72 | spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f1016,f700,f1035,f1032])). 23.06/3.25 tff(f1016,plain,( 23.06/3.25 is_index1(sK10) | ~$less(sK10,81) | spl30_24), 23.06/3.25 inference(resolution,[],[f701,f349])). 23.06/3.25 tff(f957,plain,( 23.06/3.25 ~spl30_64 | spl30_70 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f921,f684,f955,f932])). 23.06/3.25 tff(f932,plain,( 23.06/3.25 spl30_64 <=> $less(sK8,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 23.06/3.25 tff(f955,plain,( 23.06/3.25 spl30_70 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 23.06/3.25 tff(f921,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8)))) | ~is_index1(X43) | ~$less(sK8,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f463])). 23.06/3.25 tff(f953,plain,( 23.06/3.25 ~spl30_64 | spl30_69 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f918,f684,f950,f932])). 23.06/3.25 tff(f950,plain,( 23.06/3.25 spl30_69 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK8 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 23.06/3.25 tff(f918,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK8)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK8)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK8))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK8 = X29 | ~$less(sK8,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f442])). 23.06/3.25 tff(f952,plain,( 23.06/3.25 ~spl30_64 | spl30_69 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f917,f684,f950,f932])). 23.06/3.25 tff(f917,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))),1) | ~$less(sK8,9) | sK8 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f442])). 23.06/3.25 tff(f948,plain,( 23.06/3.25 spl30_66 | spl30_68 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f916,f684,f946,f939])). 23.06/3.25 tff(f939,plain,( 23.06/3.25 spl30_66 <=> $less(81,sK8)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 23.06/3.25 tff(f946,plain,( 23.06/3.25 spl30_68 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK8,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_68])])). 23.06/3.25 tff(f916,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK8,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK8)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f427])). 23.06/3.25 tff(f944,plain,( 23.06/3.25 spl30_66 | spl30_67 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f915,f684,f942,f939])). 23.06/3.25 tff(f942,plain,( 23.06/3.25 spl30_67 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK8) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_67])])). 23.06/3.25 tff(f915,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK8) | $less(81,sK8) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f427])). 23.06/3.25 tff(f937,plain,( 23.06/3.25 ~spl30_64 | spl30_65 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f910,f684,f935,f932])). 23.06/3.25 tff(f935,plain,( 23.06/3.25 spl30_65 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK8)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_65])])). 23.06/3.25 tff(f910,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK8)))) | ~is_index1(X1) | ~$less(sK8,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f378])). 23.06/3.25 tff(f930,plain,( 23.06/3.25 ~spl30_62 | spl30_63 | spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f909,f684,f928,f925])). 23.06/3.25 tff(f909,plain,( 23.06/3.25 is_index1(sK8) | ~$less(sK8,81) | spl30_21), 23.06/3.25 inference(resolution,[],[f685,f349])). 23.06/3.25 tff(f908,plain,( 23.06/3.25 ~spl30_55 | spl30_61 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f872,f680,f906,f883])). 23.06/3.25 tff(f883,plain,( 23.06/3.25 spl30_55 <=> $less(sK6,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 23.06/3.25 tff(f906,plain,( 23.06/3.25 spl30_61 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_61])])). 23.06/3.25 tff(f872,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6)))) | ~is_index1(X43) | ~$less(sK6,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f463])). 23.06/3.25 tff(f904,plain,( 23.06/3.25 ~spl30_55 | spl30_60 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f869,f680,f901,f883])). 23.06/3.25 tff(f901,plain,( 23.06/3.25 spl30_60 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK6 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 23.06/3.25 tff(f869,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK6)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK6)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK6))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK6 = X29 | ~$less(sK6,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f442])). 23.06/3.25 tff(f903,plain,( 23.06/3.25 ~spl30_55 | spl30_60 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f868,f680,f901,f883])). 23.06/3.25 tff(f868,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))),1) | ~$less(sK6,9) | sK6 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f442])). 23.06/3.25 tff(f899,plain,( 23.06/3.25 spl30_57 | spl30_59 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f867,f680,f897,f890])). 23.06/3.25 tff(f890,plain,( 23.06/3.25 spl30_57 <=> $less(81,sK6)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_57])])). 23.06/3.25 tff(f897,plain,( 23.06/3.25 spl30_59 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK6,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_59])])). 23.06/3.25 tff(f867,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK6,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK6)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f427])). 23.06/3.25 tff(f895,plain,( 23.06/3.25 spl30_57 | spl30_58 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f866,f680,f893,f890])). 23.06/3.25 tff(f893,plain,( 23.06/3.25 spl30_58 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK6) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 23.06/3.25 tff(f866,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK6) | $less(81,sK6) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f427])). 23.06/3.25 tff(f888,plain,( 23.06/3.25 ~spl30_55 | spl30_56 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f861,f680,f886,f883])). 23.06/3.25 tff(f886,plain,( 23.06/3.25 spl30_56 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK6)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 23.06/3.25 tff(f861,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK6)))) | ~is_index1(X1) | ~$less(sK6,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f378])). 23.06/3.25 tff(f881,plain,( 23.06/3.25 ~spl30_53 | spl30_54 | spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f860,f680,f879,f876])). 23.06/3.25 tff(f860,plain,( 23.06/3.25 is_index1(sK6) | ~$less(sK6,81) | spl30_20), 23.06/3.25 inference(resolution,[],[f681,f349])). 23.06/3.25 tff(f859,plain,( 23.06/3.25 ~spl30_46 | spl30_52 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f823,f676,f857,f834])). 23.06/3.25 tff(f834,plain,( 23.06/3.25 spl30_46 <=> $less(sK4,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 23.06/3.25 tff(f857,plain,( 23.06/3.25 spl30_52 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 23.06/3.25 tff(f823,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4)))) | ~is_index1(X43) | ~$less(sK4,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f463])). 23.06/3.25 tff(f855,plain,( 23.06/3.25 ~spl30_46 | spl30_51 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f820,f676,f852,f834])). 23.06/3.25 tff(f852,plain,( 23.06/3.25 spl30_51 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK4 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 23.06/3.25 tff(f820,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK4)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK4))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK4 = X29 | ~$less(sK4,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f442])). 23.06/3.25 tff(f854,plain,( 23.06/3.25 ~spl30_46 | spl30_51 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f819,f676,f852,f834])). 23.06/3.25 tff(f819,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))),1) | ~$less(sK4,9) | sK4 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f442])). 23.06/3.25 tff(f850,plain,( 23.06/3.25 spl30_48 | spl30_50 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f818,f676,f848,f841])). 23.06/3.25 tff(f841,plain,( 23.06/3.25 spl30_48 <=> $less(81,sK4)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 23.06/3.25 tff(f848,plain,( 23.06/3.25 spl30_50 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK4,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 23.06/3.25 tff(f818,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK4,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK4)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f427])). 23.06/3.25 tff(f846,plain,( 23.06/3.25 spl30_48 | spl30_49 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f817,f676,f844,f841])). 23.06/3.25 tff(f844,plain,( 23.06/3.25 spl30_49 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK4) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 23.06/3.25 tff(f817,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK4) | $less(81,sK4) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f427])). 23.06/3.25 tff(f839,plain,( 23.06/3.25 ~spl30_46 | spl30_47 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f812,f676,f837,f834])). 23.06/3.25 tff(f837,plain,( 23.06/3.25 spl30_47 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK4)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 23.06/3.25 tff(f812,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK4)))) | ~is_index1(X1) | ~$less(sK4,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f378])). 23.06/3.25 tff(f832,plain,( 23.06/3.25 ~spl30_44 | spl30_45 | spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f811,f676,f830,f827])). 23.06/3.25 tff(f811,plain,( 23.06/3.25 is_index1(sK4) | ~$less(sK4,81) | spl30_19), 23.06/3.25 inference(resolution,[],[f677,f349])). 23.06/3.25 tff(f810,plain,( 23.06/3.25 ~spl30_37 | spl30_43 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f774,f672,f808,f785])). 23.06/3.25 tff(f785,plain,( 23.06/3.25 spl30_37 <=> $less(sK2,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 23.06/3.25 tff(f808,plain,( 23.06/3.25 spl30_43 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 23.06/3.25 tff(f774,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2)))) | ~is_index1(X43) | ~$less(sK2,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f463])). 23.06/3.25 tff(f806,plain,( 23.06/3.25 ~spl30_37 | spl30_42 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f771,f672,f803,f785])). 23.06/3.25 tff(f803,plain,( 23.06/3.25 spl30_42 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK2 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 23.06/3.25 tff(f771,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK2)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK2)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK2))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK2 = X29 | ~$less(sK2,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f442])). 23.06/3.25 tff(f805,plain,( 23.06/3.25 ~spl30_37 | spl30_42 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f770,f672,f803,f785])). 23.06/3.25 tff(f770,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))),1) | ~$less(sK2,9) | sK2 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f442])). 23.06/3.25 tff(f801,plain,( 23.06/3.25 spl30_39 | spl30_41 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f769,f672,f799,f792])). 23.06/3.25 tff(f792,plain,( 23.06/3.25 spl30_39 <=> $less(81,sK2)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 23.06/3.25 tff(f799,plain,( 23.06/3.25 spl30_41 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK2,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 23.06/3.25 tff(f769,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK2,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK2)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f427])). 23.06/3.25 tff(f797,plain,( 23.06/3.25 spl30_39 | spl30_40 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f768,f672,f795,f792])). 23.06/3.25 tff(f795,plain,( 23.06/3.25 spl30_40 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK2) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_40])])). 23.06/3.25 tff(f768,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK2) | $less(81,sK2) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f427])). 23.06/3.25 tff(f790,plain,( 23.06/3.25 ~spl30_37 | spl30_38 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f763,f672,f788,f785])). 23.06/3.25 tff(f788,plain,( 23.06/3.25 spl30_38 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK2)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 23.06/3.25 tff(f763,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK2)))) | ~is_index1(X1) | ~$less(sK2,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f378])). 23.06/3.25 tff(f783,plain,( 23.06/3.25 ~spl30_35 | spl30_36 | spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f762,f672,f781,f778])). 23.06/3.25 tff(f762,plain,( 23.06/3.25 is_index1(sK2) | ~$less(sK2,81) | spl30_18), 23.06/3.25 inference(resolution,[],[f673,f349])). 23.06/3.25 tff(f761,plain,( 23.06/3.25 ~spl30_28 | spl30_34 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f725,f668,f759,f736])). 23.06/3.25 tff(f736,plain,( 23.06/3.25 spl30_28 <=> $less(sK0,9)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 23.06/3.25 tff(f759,plain,( 23.06/3.25 spl30_34 <=> ! [X42 : array_int,X44 : array_int,X43 : $int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0))))) | ~disjoint_chunks1(X42,X44) | ~is_index1(X43) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0)))))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 23.06/3.25 tff(f725,plain,( 23.06/3.25 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0))))) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0)))) | ~is_index1(X43) | ~$less(sK0,9) | ~disjoint_chunks1(X42,X44)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f463])). 23.06/3.25 tff(f757,plain,( 23.06/3.25 ~spl30_28 | spl30_33 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f722,f668,f754,f736])). 23.06/3.25 tff(f754,plain,( 23.06/3.25 spl30_33 <=> ! [X20 : map_int_int,X22 : $int,X21 : array_int,X23 : array_int,X24 : $int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0)))))) | ~valid_chunk1(X20,X22,X21,X23) | $less(X24,0) | ~$less(X24,9) | sK0 = X24 | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 23.06/3.25 tff(f722,plain,( 23.06/3.25 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | ~$less(X29,9) | sK0 = X29 | ~$less(sK0,9) | $less(X29,0) | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f442])). 23.06/3.25 tff(f756,plain,( 23.06/3.25 ~spl30_28 | spl30_33 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f721,f668,f754,f736])). 23.06/3.25 tff(f721,plain,( 23.06/3.25 ( ! [X24:$int,X23:array_int,X21:array_int,X22:$int,X20:map_int_int] : (tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0)))))),1) | ~$less(sK0,9) | sK0 = X24 | ~$less(X24,9) | $less(X24,0) | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f442])). 23.06/3.25 tff(f752,plain,( 23.06/3.25 spl30_30 | spl30_32 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f720,f668,f750,f743])). 23.06/3.25 tff(f743,plain,( 23.06/3.25 spl30_30 <=> $less(81,sK0)), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 23.06/3.25 tff(f750,plain,( 23.06/3.25 spl30_32 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK0,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_32])])). 23.06/3.25 tff(f720,plain,( 23.06/3.25 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK0,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0) | $less(81,sK0)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f427])). 23.06/3.25 tff(f748,plain,( 23.06/3.25 spl30_30 | spl30_31 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f719,f668,f746,f743])). 23.06/3.25 tff(f746,plain,( 23.06/3.25 spl30_31 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK0) | $less(X16,0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 23.06/3.25 tff(f719,plain,( 23.06/3.25 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK0) | $less(81,sK0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,X16) | $less(X16,0)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f427])). 23.06/3.25 tff(f741,plain,( 23.06/3.25 ~spl30_28 | spl30_29 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f714,f668,f739,f736])). 23.06/3.25 tff(f739,plain,( 23.06/3.25 spl30_29 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK0)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 23.06/3.25 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 23.06/3.25 tff(f714,plain,( 23.06/3.25 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK0)))) | ~is_index1(X1) | ~$less(sK0,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f378])). 23.06/3.25 tff(f734,plain,( 23.06/3.25 ~spl30_26 | spl30_27 | spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f713,f668,f732,f729])). 23.06/3.25 tff(f713,plain,( 23.06/3.25 is_index1(sK0) | ~$less(sK0,81) | spl30_17), 23.06/3.25 inference(resolution,[],[f669,f349])). 23.06/3.25 tff(f708,plain,( 23.06/3.25 spl30_16 | ~spl30_25 | spl30_8), 23.06/3.25 inference(avatar_split_clause,[],[f703,f598,f706,f660])). 23.06/3.25 tff(f703,plain,( 23.06/3.25 ~$less(sK14,81) | $less(sK14,0) | spl30_8), 23.06/3.25 inference(resolution,[],[f599,f349])). 23.06/3.25 tff(f599,plain,( 23.06/3.25 ~is_index1(sK14) | spl30_8), 23.06/3.25 inference(avatar_component_clause,[],[f598])). 23.06/3.25 tff(f702,plain,( 23.06/3.25 ~spl30_24), 23.06/3.25 inference(avatar_split_clause,[],[f221,f700])). 23.06/3.25 tff(f221,plain,( 23.06/3.25 ~$less(sK10,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f169,plain,( 23.06/3.25 (((((81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ((~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((~valid_values1(sK13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~is_index1(sK14) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) & ~$less(80,sK14) & ~$less(sK14,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & $less(80,0))) & ~$less(sK0,0) & ~$less(sK2,0) & ~$less(sK4,0) & ~$less(sK6,0) & ~$less(sK8,0) & ~$less(sK12,0) & 81 = sK12 & valid_values1(sK13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) & ~$less(sK10,0)), 23.06/3.25 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f133,f168,f167])). 23.06/3.25 tff(f167,plain,( 23.06/3.25 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((? [X14 : $int] : ((81 != X12 | ~valid_values1(X13) | ~is_index1(X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((~valid_values1(X13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) & ~$less(80,X14) & ~$less(X14,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0)) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & ~$less(X0,0) & ~$less(X2,0) & ~$less(X4,0) & ~$less(X6,0) & ~$less(X8,0) & ~$less(X12,0) & 81 = X12 & valid_values1(X13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & ~$less(X10,0)) => ((((? [X14 : $int] : ((81 != sK12 | ~valid_values1(sK13) | ~is_index1(X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ((~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((~valid_values1(sK13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(X14,1)) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X14) | 81 != sK12) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~is_index1(X14) | 81 != sK12) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X14) & ~$less(80,X14) & ~$less(X14,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & $less(80,0))) & ~$less(sK0,0) & ~$less(sK2,0) & ~$less(sK4,0) & ~$less(sK6,0) & ~$less(sK8,0) & ~$less(sK12,0) & 81 = sK12 & valid_values1(sK13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) & ~$less(sK10,0))), 23.06/3.25 introduced(choice_axiom,[])). 23.06/3.25 tff(f168,plain,( 23.06/3.25 ? [X14 : $int] : ((81 != sK12 | ~valid_values1(sK13) | ~is_index1(X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ((~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((~valid_values1(sK13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(X14,1)) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X14) | 81 != sK12) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~is_index1(X14) | 81 != sK12) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X14) & ~$less(80,X14) & ~$less(X14,0)) => ((81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ((~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((~valid_values1(sK13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~is_index1(sK14) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) & ~$less(80,sK14) & ~$less(sK14,0))), 23.06/3.25 introduced(choice_axiom,[])). 23.06/3.25 tff(f133,plain,( 23.06/3.25 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((? [X14 : $int] : ((81 != X12 | ~valid_values1(X13) | ~is_index1(X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((~valid_values1(X13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) & ~$less(80,X14) & ~$less(X14,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0)) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & ~$less(X0,0) & ~$less(X2,0) & ~$less(X4,0) & ~$less(X6,0) & ~$less(X8,0) & ~$less(X12,0) & 81 = X12 & valid_values1(X13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & ~$less(X10,0))), 23.06/3.25 inference(flattening,[],[f132])). 23.06/3.25 tff(f132,plain,( 23.06/3.25 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((((? [X14 : $int] : (((81 != X12 | ~valid_values1(X13) | ~is_index1(X14) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ((~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((~valid_values1(X13) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~is_index1(X14) | 81 != X12) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14)) & (~$less(80,X14) & ~$less(X14,0))) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0)) & ~$less(80,0)) | (~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & $less(80,0))) & (~$less(X0,0) & ~$less(X2,0) & ~$less(X4,0) & ~$less(X6,0) & ~$less(X8,0) & ~$less(X12,0) & 81 = X12 & valid_values1(X13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & ~$less(X10,0)))), 23.06/3.25 inference(ennf_transformation,[],[f76])). 23.06/3.25 tff(f76,plain,( 23.06/3.25 ~! [X0 : $int,X1 : map_int_int,X2 : $int,X3 : map_int_int,X4 : $int,X5 : map_int_int,X6 : $int,X7 : map_int_int,X8 : $int,X9 : map_int_int,X10 : $int,X11 : map_int_int,X12 : $int,X13 : map_int_int] : ((~$less(X0,0) & ~$less(X2,0) & ~$less(X4,0) & ~$less(X6,0) & ~$less(X8,0) & ~$less(X12,0) & 81 = X12 & valid_values1(X13) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) & ~$less(X10,0)) => ((~$less(80,0) => (! [X14 : $int] : ((~$less(80,X14) & ~$less(X14,0)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) => (81 = X12 & valid_values1(X13) & is_index1(X14) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) => (valid_values1(X13) & chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => (valid_values1(X13) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1))) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) & is_index1(X14) & 81 = X12)) & is_index1(X14) & 81 = X12)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,0))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13))))), 23.06/3.25 inference(rectify,[],[f63])). 23.06/3.25 tff(f63,plain,( 23.06/3.25 ~! [X3 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X4 : $int,X27 : map_int_int] : ((~$less(X3,0) & ~$less(X38,0) & ~$less(X40,0) & ~$less(X42,0) & ~$less(X44,0) & ~$less(X4,0) & 81 = X4 & valid_values1(X27) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & ~$less(X46,0)) => ((~$less(80,0) => (! [X5 : $int] : ((~$less(80,X5) & ~$less(X5,0)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,X5) => (81 = X4 & valid_values1(X27) & is_index1(X5) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X27) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X27) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(X5,1))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & is_index1(X5) & 81 = X4)) & is_index1(X5) & 81 = X4)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))))))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,0))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27))))), 23.06/3.25 inference(theory_normalization,[],[f61])). 23.06/3.25 tff(f61,negated_conjecture,( 23.06/3.25 ~! [X3 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X4 : $int,X27 : map_int_int] : (($lesseq(0,X3) & $lesseq(0,X38) & $lesseq(0,X40) & $lesseq(0,X42) & $lesseq(0,X44) & $lesseq(0,X4) & 81 = X4 & valid_values1(X27) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & $lesseq(0,X46)) => (($lesseq(0,80) => (! [X5 : $int] : (($lesseq(X5,80) & $lesseq(0,X5)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,X5) => (81 = X4 & valid_values1(X27) & is_index1(X5) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X27) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X27) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(X5,1))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & is_index1(X5) & 81 = X4)) & is_index1(X5) & 81 = X4)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))))))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,0))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27))))), 23.06/3.25 inference(negated_conjecture,[],[f60])). 23.06/3.25 tff(f60,conjecture,( 23.06/3.25 ! [X3 : $int,X37 : map_int_int,X38 : $int,X39 : map_int_int,X40 : $int,X41 : map_int_int,X42 : $int,X43 : map_int_int,X44 : $int,X45 : map_int_int,X46 : $int,X47 : map_int_int,X4 : $int,X27 : map_int_int] : (($lesseq(0,X3) & $lesseq(0,X38) & $lesseq(0,X40) & $lesseq(0,X42) & $lesseq(0,X44) & $lesseq(0,X4) & 81 = X4 & valid_values1(X27) & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47))))) & $lesseq(0,X46)) => (($lesseq(0,80) => (! [X5 : $int] : (($lesseq(X5,80) & $lesseq(0,X5)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,X5) => (81 = X4 & valid_values1(X27) & is_index1(X5) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39)))) => (valid_values1(X27) & chunk_valid_indexes1(tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43)))) => (valid_values1(X27) & (valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(X5,1))) & (~valid_chunk1(X27,X5,tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))) & is_index1(X5) & 81 = X4)) & is_index1(X5) & 81 = X4)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))))))) & (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27,0))) & ($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X3,t2tb(X37))),tb2t2(mk_array1(int,X38,t2tb(X39))),tb2t2(mk_array1(int,X40,t2tb(X41))),tb2t2(mk_array1(int,X42,t2tb(X43))),tb2t2(mk_array1(int,X44,t2tb(X45))),tb2t2(mk_array1(int,X46,t2tb(X47)))),X27))))), 23.06/3.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_check_valid)). 23.06/3.25 tff(f698,plain,( 23.06/3.25 spl30_23), 23.06/3.25 inference(avatar_split_clause,[],[f222,f696])). 23.06/3.25 tff(f222,plain,( 23.06/3.25 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f694,plain,( 23.06/3.25 spl30_9), 23.06/3.25 inference(avatar_split_clause,[],[f223,f601])). 23.06/3.25 tff(f223,plain,( 23.06/3.25 valid_values1(sK13)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f692,plain,( 23.06/3.25 spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f224,f604])). 23.06/3.25 tff(f224,plain,( 23.06/3.25 81 = sK12), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f690,plain,( 23.06/3.25 ~spl30_22), 23.06/3.25 inference(avatar_split_clause,[],[f225,f688])). 23.06/3.25 tff(f225,plain,( 23.06/3.25 ~$less(sK12,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f686,plain,( 23.06/3.25 ~spl30_21), 23.06/3.25 inference(avatar_split_clause,[],[f226,f684])). 23.06/3.25 tff(f226,plain,( 23.06/3.25 ~$less(sK8,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f682,plain,( 23.06/3.25 ~spl30_20), 23.06/3.25 inference(avatar_split_clause,[],[f227,f680])). 23.06/3.25 tff(f227,plain,( 23.06/3.25 ~$less(sK6,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f678,plain,( 23.06/3.25 ~spl30_19), 23.06/3.25 inference(avatar_split_clause,[],[f228,f676])). 23.06/3.25 tff(f228,plain,( 23.06/3.25 ~$less(sK4,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f674,plain,( 23.06/3.25 ~spl30_18), 23.06/3.25 inference(avatar_split_clause,[],[f229,f672])). 23.06/3.25 tff(f229,plain,( 23.06/3.25 ~$less(sK2,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f670,plain,( 23.06/3.25 ~spl30_17), 23.06/3.25 inference(avatar_split_clause,[],[f230,f668])). 23.06/3.25 tff(f230,plain,( 23.06/3.25 ~$less(sK0,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f666,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | ~spl30_16), 23.06/3.25 inference(avatar_split_clause,[],[f465,f660,f580,f577])). 23.06/3.25 tff(f465,plain,( 23.06/3.25 ~$less(sK14,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f233])). 23.06/3.25 tff(f233,plain,( 23.06/3.25 ~$less(sK14,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f665,plain,( 23.06/3.25 ~spl30_7 | ~spl30_1 | ~spl30_16), 23.06/3.25 inference(avatar_split_clause,[],[f664,f660,f577,f595])). 23.06/3.25 tff(f664,plain,( 23.06/3.25 ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(global_subsumption,[],[f467])). 23.06/3.25 tff(f467,plain,( 23.06/3.25 ~$less(sK14,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f235])). 23.06/3.25 tff(f235,plain,( 23.06/3.25 ~$less(sK14,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f663,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_16), 23.06/3.25 inference(avatar_split_clause,[],[f467,f660,f595,f577])). 23.06/3.25 tff(f662,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_16), 23.06/3.25 inference(avatar_split_clause,[],[f468,f660,f595,f577])). 23.06/3.25 tff(f468,plain,( 23.06/3.25 ~$less(sK14,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f236])). 23.06/3.25 tff(f236,plain,( 23.06/3.25 ~$less(sK14,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f658,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | ~spl30_15), 23.06/3.25 inference(avatar_split_clause,[],[f469,f652,f580,f577])). 23.06/3.25 tff(f469,plain,( 23.06/3.25 ~$less(80,sK14) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f237])). 23.06/3.25 tff(f237,plain,( 23.06/3.25 ~$less(80,sK14) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f657,plain,( 23.06/3.25 ~spl30_7 | ~spl30_1 | ~spl30_15), 23.06/3.25 inference(avatar_split_clause,[],[f656,f652,f577,f595])). 23.06/3.25 tff(f656,plain,( 23.06/3.25 ~$less(80,sK14) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(global_subsumption,[],[f471])). 23.06/3.25 tff(f471,plain,( 23.06/3.25 ~$less(80,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f239])). 23.06/3.25 tff(f239,plain,( 23.06/3.25 ~$less(80,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f655,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_15), 23.06/3.25 inference(avatar_split_clause,[],[f471,f652,f595,f577])). 23.06/3.25 tff(f654,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_15), 23.06/3.25 inference(avatar_split_clause,[],[f472,f652,f595,f577])). 23.06/3.25 tff(f472,plain,( 23.06/3.25 ~$less(80,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f240])). 23.06/3.25 tff(f240,plain,( 23.06/3.25 ~$less(80,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f650,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | spl30_14), 23.06/3.25 inference(avatar_split_clause,[],[f473,f644,f580,f577])). 23.06/3.25 tff(f473,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f241])). 23.06/3.25 tff(f241,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f649,plain,( 23.06/3.25 ~spl30_7 | ~spl30_1 | spl30_14), 23.06/3.25 inference(avatar_split_clause,[],[f648,f644,f577,f595])). 23.06/3.25 tff(f648,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(global_subsumption,[],[f475])). 23.06/3.25 tff(f475,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f243])). 23.06/3.25 tff(f243,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f647,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | spl30_14), 23.06/3.25 inference(avatar_split_clause,[],[f475,f644,f595,f577])). 23.06/3.25 tff(f646,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | spl30_14), 23.06/3.25 inference(avatar_split_clause,[],[f476,f644,f595,f577])). 23.06/3.25 tff(f476,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f244])). 23.06/3.25 tff(f244,plain,( 23.06/3.25 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f642,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | spl30_7 | spl30_11 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f487,f604,f601,f598,f624,f592,f614,f610,f595,f586,f583,f580,f577])). 23.06/3.25 tff(f487,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f486])). 23.06/3.25 tff(f486,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f257])). 23.06/3.25 tff(f257,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f641,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_11 | ~spl30_5 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f492,f604,f601,f598,f624,f592,f614,f589,f610,f586,f583,f580,f577])). 23.06/3.25 tff(f492,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f491])). 23.06/3.25 tff(f491,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f261])). 23.06/3.25 tff(f261,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f640,plain,( 23.06/3.25 ~spl30_7 | ~spl30_1 | ~spl30_3 | ~spl30_4 | ~spl30_11 | ~spl30_5 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f639,f604,f601,f598,f624,f592,f614,f589,f610,f586,f583,f577,f595])). 23.06/3.25 tff(f639,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(global_subsumption,[],[f496])). 23.06/3.25 tff(f496,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(evaluation,[],[f495])). 23.06/3.25 tff(f495,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f263])). 23.06/3.25 tff(f263,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f638,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_3 | ~spl30_4 | ~spl30_11 | ~spl30_5 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f496,f604,f601,f598,f624,f592,f614,f589,f610,f586,f583,f595,f577])). 23.06/3.25 tff(f637,plain,( 23.06/3.25 ~spl30_1 | ~spl30_7 | ~spl30_3 | ~spl30_4 | ~spl30_11 | ~spl30_5 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f497,f604,f601,f598,f624,f592,f614,f589,f610,f586,f583,f595,f577])). 23.06/3.25 tff(f497,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.25 inference(duplicate_literal_removal,[],[f264])). 23.06/3.25 tff(f264,plain,( 23.06/3.25 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)), 23.06/3.25 inference(cnf_transformation,[],[f169])). 23.06/3.25 tff(f634,plain,( 23.06/3.25 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | spl30_7 | ~spl30_5 | ~spl30_12 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.25 inference(avatar_split_clause,[],[f499,f604,f601,f598,f624,f592,f614,f589,f595,f586,f583,f580,f577])). 23.06/3.26 tff(f499,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f498])). 23.06/3.26 tff(f498,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(duplicate_literal_removal,[],[f265])). 23.06/3.26 tff(f265,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(cnf_transformation,[],[f169])). 23.06/3.26 tff(f633,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | spl30_12 | spl30_7 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f504,f604,f601,f598,f624,f592,f595,f614,f583,f580,f577])). 23.06/3.26 tff(f504,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f503])). 23.06/3.26 tff(f503,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(duplicate_literal_removal,[],[f269])). 23.06/3.26 tff(f269,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(cnf_transformation,[],[f169])). 23.06/3.26 tff(f632,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | spl30_11 | spl30_7 | ~spl30_6 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f631,f604,f601,f598,f592,f595,f610,f586,f583,f580,f577])). 23.06/3.26 tff(f631,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(global_subsumption,[],[f621])). 23.06/3.26 tff(f621,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(global_subsumption,[],[f562])). 23.06/3.26 tff(f562,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f561])). 23.06/3.26 tff(f561,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(duplicate_literal_removal,[],[f321])). 23.06/3.26 tff(f321,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(cnf_transformation,[],[f169])). 23.06/3.26 tff(f630,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | spl30_7 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f629,f604,f601,f598,f624,f592,f595,f589,f586,f583,f580,f577])). 23.06/3.26 tff(f629,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(global_subsumption,[],[f523])). 23.06/3.26 tff(f523,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f522])). 23.06/3.26 tff(f522,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(duplicate_literal_removal,[],[f285])). 23.06/3.26 tff(f285,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(cnf_transformation,[],[f169])). 23.06/3.26 tff(f628,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | spl30_7 | ~spl30_6 | ~spl30_13 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f523,f604,f601,f598,f624,f592,f595,f589,f586,f583,f580,f577])). 23.06/3.26 tff(f626,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | spl30_13 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f527,f604,f601,f598,f595,f624,f583,f580,f577])). 23.06/3.26 tff(f527,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f289])). 23.06/3.26 tff(f289,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.06/3.26 inference(cnf_transformation,[],[f169])). 23.06/3.26 tff(f622,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | spl30_11 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f621,f604,f601,f598,f595,f592,f610,f586,f583,f580,f577])). 23.06/3.26 tff(f620,plain,( 23.06/3.26 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_12 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.06/3.26 inference(avatar_split_clause,[],[f619,f604,f601,f598,f595,f592,f614,f589,f586,f583,f580,f577])). 23.06/3.26 tff(f619,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(global_subsumption,[],[f548])). 23.06/3.26 tff(f548,plain,( 23.06/3.26 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.06/3.26 inference(evaluation,[],[f547])). 23.22/3.27 tff(f547,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(duplicate_literal_removal,[],[f309])). 23.22/3.27 tff(f309,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(cnf_transformation,[],[f169])). 23.22/3.27 tff(f618,plain,( 23.22/3.27 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_12 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.22/3.27 inference(avatar_split_clause,[],[f548,f604,f601,f598,f595,f592,f614,f589,f586,f583,f580,f577])). 23.22/3.27 tff(f616,plain,( 23.22/3.27 ~spl30_1 | spl30_2 | ~spl30_3 | spl30_12 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.22/3.27 inference(avatar_split_clause,[],[f553,f604,f601,f598,f595,f592,f614,f583,f580,f577])). 23.22/3.27 tff(f553,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.22/3.27 inference(evaluation,[],[f552])). 23.22/3.27 tff(f552,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(duplicate_literal_removal,[],[f313])). 23.22/3.27 tff(f313,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(cnf_transformation,[],[f169])). 23.22/3.27 tff(f612,plain,( 23.22/3.27 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | spl30_11 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.22/3.27 inference(avatar_split_clause,[],[f562,f604,f601,f598,f595,f592,f610,f586,f583,f580,f577])). 23.22/3.27 tff(f608,plain,( 23.22/3.27 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.22/3.27 inference(avatar_split_clause,[],[f607,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577])). 23.22/3.27 tff(f607,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.22/3.27 inference(global_subsumption,[],[f572])). 23.22/3.27 tff(f572,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 23.22/3.27 inference(evaluation,[],[f571])). 23.22/3.27 tff(f571,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(duplicate_literal_removal,[],[f329])). 23.22/3.27 tff(f329,plain,( 23.22/3.27 81 != sK12 | ~valid_values1(sK13) | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | 81 != sK12 | ~is_index1(sK14) | 81 != sK12 | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | $less(80,0)), 23.22/3.27 inference(cnf_transformation,[],[f169])). 23.22/3.27 tff(f606,plain,( 23.22/3.27 ~spl30_1 | spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10), 23.22/3.27 inference(avatar_split_clause,[],[f572,f604,f601,f598,f595,f592,f589,f586,f583,f580,f577])). 23.22/3.27 % SZS output end Proof for theBenchmark 23.22/3.27 % (29892)------------------------------ 23.22/3.27 % (29892)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 23.22/3.27 % (29892)Termination reason: Refutation 23.22/3.27 23.22/3.27 % (29892)Memory used [KB]: 11897 23.22/3.27 % (29892)Time elapsed: 2.815 s 23.22/3.27 % (29892)------------------------------ 23.22/3.27 % (29892)------------------------------ 23.22/3.27 % (29863)Success in time 2.938 s 23.22/3.28 EOF