0.03/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.09 % Command : run_vampire %s %d 0.08/0.29 % Computer : n003.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 960 0.08/0.29 % WCLimit : 120 0.08/0.29 % DateTime : Thu Jul 2 08:34:56 EDT 2020 0.08/0.29 % CPUTime : 0.15/0.43 % (32690)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 0.15/0.45 % (32700)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 0.15/0.46 % (32701)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 0.15/0.46 % (32699)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 0.15/0.47 % (32694)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 0.15/0.47 % (32711)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 0.15/0.47 % (32688)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 0.15/0.47 % (32703)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 0.15/0.47 % (32704)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.15/0.48 % (32693)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.15/0.48 % (32708)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.15/0.48 % (32689)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 0.15/0.48 % (32710)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 0.15/0.48 % (32695)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 0.15/0.48 % (32692)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 0.15/0.49 % (32697)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.15/0.49 % (32702)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 0.15/0.49 % (32717)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 0.15/0.50 % (32715)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 0.15/0.50 % (32691)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 0.15/0.50 % (32709)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 0.15/0.51 % (32706)WARNING: option uwaf not known. 0.15/0.51 % (32699)Refutation not found, incomplete strategy% (32699)------------------------------ 0.15/0.51 % (32699)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.15/0.51 % (32699)Termination reason: Refutation not found, incomplete strategy 0.15/0.51 0.15/0.51 % (32699)Memory used [KB]: 6524 0.15/0.51 % (32699)Time elapsed: 0.135 s 0.15/0.51 % (32699)------------------------------ 0.15/0.51 % (32699)------------------------------ 0.15/0.51 % (32713)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.15/0.51 % (32698)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 0.15/0.52 % (32707)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 0.15/0.52 % (32716)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 0.15/0.52 % (32696)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 1.57/0.54 % (32706)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 1.57/0.54 % (32712)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 1.73/0.55 % (32714)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 1.73/0.56 % (32705)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 1.73/0.56 % (32707)Refutation not found, incomplete strategy% (32707)------------------------------ 1.73/0.56 % (32707)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.73/0.58 % (32707)Termination reason: Refutation not found, incomplete strategy 1.73/0.58 1.73/0.58 % (32707)Memory used [KB]: 6652 1.73/0.58 % (32707)Time elapsed: 0.167 s 1.73/0.58 % (32707)------------------------------ 1.73/0.58 % (32707)------------------------------ 2.60/0.69 % (32711)Refutation not found, incomplete strategy% (32711)------------------------------ 2.60/0.69 % (32711)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.60/0.69 % (32723)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 2.60/0.70 % (32711)Termination reason: Refutation not found, incomplete strategy 2.60/0.70 2.60/0.70 % (32711)Memory used [KB]: 6396 2.60/0.70 % (32711)Time elapsed: 0.270 s 2.60/0.70 % (32711)------------------------------ 2.60/0.70 % (32711)------------------------------ 3.39/0.79 % (32724)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 3.96/0.86 % (32705)Refutation not found, incomplete strategy% (32705)------------------------------ 3.96/0.86 % (32705)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.96/0.86 % (32705)Termination reason: Refutation not found, incomplete strategy 3.96/0.86 3.96/0.86 % (32705)Memory used [KB]: 6524 3.96/0.86 % (32705)Time elapsed: 0.463 s 3.96/0.86 % (32705)------------------------------ 3.96/0.86 % (32705)------------------------------ 3.96/0.88 % (32717)Time limit reached! 3.96/0.88 % (32717)------------------------------ 3.96/0.88 % (32717)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.96/0.88 % (32717)Termination reason: Time limit 3.96/0.88 % (32717)Termination phase: Saturation 3.96/0.88 3.96/0.88 % (32717)Memory used [KB]: 12665 3.96/0.88 % (32717)Time elapsed: 0.500 s 3.96/0.88 % (32717)------------------------------ 3.96/0.88 % (32717)------------------------------ 3.96/0.89 % (32709)Time limit reached! 3.96/0.89 % (32709)------------------------------ 3.96/0.89 % (32709)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.96/0.90 % (32698)Time limit reached! 3.96/0.90 % (32698)------------------------------ 3.96/0.90 % (32698)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.96/0.90 % (32709)Termination reason: Time limit 3.96/0.90 3.96/0.90 % (32709)Memory used [KB]: 15223 3.96/0.90 % (32709)Time elapsed: 0.520 s 3.96/0.90 % (32709)------------------------------ 3.96/0.90 % (32709)------------------------------ 3.96/0.91 % (32698)Termination reason: Time limit 3.96/0.91 % (32698)Termination phase: Saturation 3.96/0.91 3.96/0.91 % (32698)Memory used [KB]: 6524 3.96/0.91 % (32698)Time elapsed: 0.500 s 3.96/0.91 % (32698)------------------------------ 3.96/0.91 % (32698)------------------------------ 3.96/0.92 % (32725)WARNING: option uwaf not known. 3.96/0.92 % (32725)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 4.83/0.98 % (32714)Time limit reached! 4.83/0.98 % (32714)------------------------------ 4.83/0.98 % (32714)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.83/0.98 % (32714)Termination reason: Time limit 4.83/0.98 4.83/0.98 % (32714)Memory used [KB]: 13304 4.83/0.98 % (32714)Time elapsed: 0.604 s 4.83/0.98 % (32714)------------------------------ 4.83/0.98 % (32714)------------------------------ 4.83/0.98 % (32704)Time limit reached! 4.83/0.98 % (32704)------------------------------ 4.83/0.98 % (32704)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.83/0.98 % (32704)Termination reason: Time limit 4.83/0.98 % (32704)Termination phase: Saturation 4.83/0.98 4.83/0.98 % (32704)Memory used [KB]: 7036 4.83/0.98 % (32704)Time elapsed: 0.600 s 4.83/0.98 % (32704)------------------------------ 4.83/0.98 % (32704)------------------------------ 4.83/0.99 % (32694)Time limit reached! 4.83/0.99 % (32694)------------------------------ 4.83/0.99 % (32694)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.83/0.99 % (32694)Termination reason: Time limit 4.83/0.99 % (32694)Termination phase: Saturation 4.83/0.99 4.83/0.99 % (32694)Memory used [KB]: 7547 4.83/0.99 % (32694)Time elapsed: 0.613 s 4.83/0.99 % (32694)------------------------------ 4.83/0.99 % (32694)------------------------------ 5.32/1.06 % (32727)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 5.91/1.08 % (32726)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 6.32/1.14 % (32729)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 6.32/1.16 % (32730)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 6.56/1.18 % (32715)Time limit reached! 6.56/1.18 % (32715)------------------------------ 6.56/1.18 % (32715)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.56/1.20 % (32715)Termination reason: Time limit 6.56/1.20 % (32715)Termination phase: Saturation 6.56/1.20 6.56/1.20 % (32715)Memory used [KB]: 8955 6.56/1.20 % (32715)Time elapsed: 0.800 s 6.56/1.20 % (32715)------------------------------ 6.56/1.20 % (32715)------------------------------ 7.32/1.27 % (32708)Time limit reached! 7.32/1.27 % (32708)------------------------------ 7.32/1.27 % (32708)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.32/1.27 % (32708)Termination reason: Time limit 7.32/1.27 % (32708)Termination phase: Saturation 7.32/1.27 7.32/1.27 % (32708)Memory used [KB]: 8571 7.32/1.27 % (32708)Time elapsed: 0.900 s 7.32/1.27 % (32708)------------------------------ 7.32/1.27 % (32708)------------------------------ 7.32/1.30 % (32700)Time limit reached! 7.32/1.30 % (32700)------------------------------ 7.32/1.30 % (32700)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.32/1.30 % (32700)Termination reason: Time limit 7.32/1.30 7.32/1.30 % (32700)Memory used [KB]: 8187 7.32/1.30 % (32700)Time elapsed: 0.929 s 7.32/1.30 % (32700)------------------------------ 7.32/1.30 % (32700)------------------------------ 8.23/1.42 % (32701)Time limit reached! 8.23/1.42 % (32701)------------------------------ 8.23/1.42 % (32701)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.23/1.42 % (32701)Termination reason: Time limit 8.23/1.42 8.23/1.42 % (32701)Memory used [KB]: 6908 8.23/1.42 % (32701)Time elapsed: 1.027 s 8.23/1.42 % (32701)------------------------------ 8.23/1.42 % (32701)------------------------------ 8.76/1.44 % (32724)Time limit reached! 8.76/1.44 % (32724)------------------------------ 8.76/1.44 % (32724)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.76/1.44 % (32724)Termination reason: Time limit 8.76/1.44 8.76/1.44 % (32724)Memory used [KB]: 8187 8.76/1.44 % (32724)Time elapsed: 0.812 s 8.76/1.44 % (32724)------------------------------ 8.76/1.44 % (32724)------------------------------ 9.00/1.48 % (32703)Time limit reached! 9.00/1.48 % (32703)------------------------------ 9.00/1.48 % (32703)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.00/1.48 % (32703)Termination reason: Time limit 9.00/1.48 9.00/1.48 % (32703)Memory used [KB]: 8827 9.00/1.48 % (32703)Time elapsed: 1.032 s 9.00/1.48 % (32703)------------------------------ 9.00/1.48 % (32703)------------------------------ 9.79/1.65 % (32695)Time limit reached! 9.79/1.65 % (32695)------------------------------ 9.79/1.65 % (32695)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.49/1.66 % (32695)Termination reason: Time limit 10.49/1.66 10.49/1.66 % (32695)Memory used [KB]: 11001 10.49/1.66 % (32695)Time elapsed: 1.219 s 10.49/1.66 % (32695)------------------------------ 10.49/1.66 % (32695)------------------------------ 10.49/1.69 % (32702)Time limit reached! 10.49/1.69 % (32702)------------------------------ 10.49/1.69 % (32702)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.49/1.69 % (32702)Termination reason: Time limit 10.49/1.69 % (32702)Termination phase: Saturation 10.49/1.69 10.49/1.69 % (32702)Memory used [KB]: 10874 10.49/1.69 % (32702)Time elapsed: 1.300 s 10.49/1.69 % (32702)------------------------------ 10.49/1.69 % (32702)------------------------------ 12.00/1.93 % (32727)Time limit reached! 12.00/1.93 % (32727)------------------------------ 12.00/1.93 % (32727)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.00/1.93 % (32727)Termination reason: Time limit 12.00/1.93 12.00/1.93 % (32727)Memory used [KB]: 11897 12.00/1.93 % (32727)Time elapsed: 1.009 s 12.00/1.93 % (32727)------------------------------ 12.00/1.93 % (32727)------------------------------ 13.81/2.10 % (32696)Time limit reached! 13.81/2.10 % (32696)------------------------------ 13.81/2.10 % (32696)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.81/2.10 % (32696)Termination reason: Time limit 13.81/2.10 % (32696)Termination phase: Saturation 13.81/2.10 13.81/2.10 % (32696)Memory used [KB]: 7675 13.81/2.10 % (32696)Time elapsed: 1.700 s 13.81/2.10 % (32696)------------------------------ 13.81/2.10 % (32696)------------------------------ 14.59/2.19 % (32693)Time limit reached! 14.59/2.19 % (32693)------------------------------ 14.59/2.19 % (32693)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.59/2.19 % (32693)Termination reason: Time limit 14.59/2.19 14.59/2.19 % (32693)Memory used [KB]: 15095 14.59/2.19 % (32693)Time elapsed: 1.807 s 14.59/2.19 % (32693)------------------------------ 14.59/2.19 % (32693)------------------------------ 22.51/3.15 % (32716)Refutation found. Thanks to Tanya! 22.51/3.15 % SZS status Theorem for theBenchmark 22.51/3.15 % SZS output start Proof for theBenchmark 22.51/3.15 tff(type_def_5, type, uni: $tType). 22.51/3.15 tff(type_def_6, type, ty: $tType). 22.51/3.15 tff(type_def_7, type, bool1: $tType). 22.51/3.15 tff(type_def_8, type, tuple02: $tType). 22.51/3.15 tff(type_def_9, type, map_int_int: $tType). 22.51/3.15 tff(type_def_10, type, sudoku_chunks1: $tType). 22.51/3.15 tff(type_def_11, type, array_int: $tType). 22.51/3.15 tff(func_def_0, type, witness1: ty > uni). 22.51/3.15 tff(func_def_1, type, int: ty). 22.51/3.15 tff(func_def_2, type, real: ty). 22.51/3.15 tff(func_def_3, type, bool: ty). 22.51/3.15 tff(func_def_4, type, true1: bool1). 22.51/3.15 tff(func_def_5, type, false1: bool1). 22.51/3.15 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 22.51/3.15 tff(func_def_7, type, tuple0: ty). 22.51/3.15 tff(func_def_8, type, tuple03: tuple02). 22.51/3.15 tff(func_def_9, type, qtmark: ty). 22.51/3.15 tff(func_def_10, type, map: (ty * ty) > ty). 22.51/3.15 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 22.51/3.15 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 22.51/3.15 tff(func_def_13, type, const: (ty * ty * uni) > uni). 22.51/3.15 tff(func_def_14, type, t2tb: map_int_int > uni). 22.51/3.15 tff(func_def_15, type, tb2t: uni > map_int_int). 22.51/3.15 tff(func_def_16, type, t2tb1: $int > uni). 22.51/3.15 tff(func_def_17, type, tb2t1: uni > $int). 22.51/3.15 tff(func_def_18, type, array: ty > ty). 22.51/3.15 tff(func_def_19, type, mk_array1: (ty * $int * uni) > uni). 22.51/3.15 tff(func_def_20, type, length1: (ty * uni) > $int). 22.51/3.15 tff(func_def_21, type, elts: (ty * uni) > uni). 22.51/3.15 tff(func_def_22, type, get2: (ty * uni * $int) > uni). 22.51/3.15 tff(func_def_23, type, set2: (ty * uni * $int * uni) > uni). 22.51/3.15 tff(func_def_24, type, make1: (ty * $int * uni) > uni). 22.51/3.15 tff(func_def_25, type, sudoku_chunks: ty). 22.51/3.15 tff(func_def_26, type, mk_sudoku_chunks1: (array_int * array_int * array_int * array_int * array_int * array_int) > sudoku_chunks1). 22.51/3.15 tff(func_def_27, type, column_start1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_28, type, column_offsets1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_29, type, row_start1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_30, type, row_offsets1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_31, type, square_start1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_32, type, square_offsets1: sudoku_chunks1 > array_int). 22.51/3.15 tff(func_def_33, type, t2tb2: array_int > uni). 22.51/3.15 tff(func_def_34, type, tb2t2: uni > array_int). 22.51/3.15 tff(func_def_42, type, sK0: $int). 22.51/3.15 tff(func_def_43, type, sK1: map_int_int). 22.51/3.15 tff(func_def_44, type, sK2: $int). 22.51/3.15 tff(func_def_45, type, sK3: map_int_int). 22.51/3.15 tff(func_def_46, type, sK4: $int). 22.51/3.15 tff(func_def_47, type, sK5: map_int_int). 22.51/3.15 tff(func_def_48, type, sK6: $int). 22.51/3.15 tff(func_def_49, type, sK7: map_int_int). 22.51/3.15 tff(func_def_50, type, sK8: $int). 22.51/3.15 tff(func_def_51, type, sK9: map_int_int). 22.51/3.15 tff(func_def_52, type, sK10: $int). 22.51/3.15 tff(func_def_53, type, sK11: map_int_int). 22.51/3.15 tff(func_def_54, type, sK12: $int). 22.51/3.15 tff(func_def_55, type, sK13: map_int_int). 22.51/3.15 tff(func_def_56, type, sK14: $int). 22.51/3.15 tff(func_def_57, type, sK15: map_int_int > $int). 22.51/3.15 tff(func_def_58, type, sK16: map_int_int > $int). 22.51/3.15 tff(func_def_59, type, sK17: (array_int * array_int) > $int). 22.51/3.15 tff(func_def_60, type, sK18: (array_int * array_int) > $int). 22.51/3.15 tff(func_def_61, type, sK19: (array_int * array_int) > $int). 22.51/3.15 tff(func_def_62, type, sK20: (array_int * array_int) > $int). 22.51/3.15 tff(func_def_63, type, sK21: (array_int * array_int) > $int). 22.51/3.15 tff(func_def_64, type, sK22: (sudoku_chunks1 * map_int_int) > $int). 22.51/3.15 tff(func_def_65, type, sK23: (map_int_int * map_int_int) > $int). 22.51/3.15 tff(func_def_66, type, sK24: (sudoku_chunks1 * map_int_int * $int) > $int). 22.51/3.15 tff(func_def_67, type, sK25: (map_int_int * map_int_int * $int * $int) > $int). 22.51/3.15 tff(func_def_68, type, sK26: (map_int_int * $int * array_int * array_int) > $int). 22.51/3.15 tff(func_def_69, type, sK27: (map_int_int * $int * array_int * array_int) > $int). 22.51/3.15 tff(func_def_70, type, sK28: (map_int_int * $int * array_int * array_int * $int) > $int). 22.51/3.15 tff(func_def_71, type, sK29: (map_int_int * $int * array_int * array_int * $int) > $int). 22.51/3.15 tff(pred_def_1, type, sort1: (ty * uni) > $o). 22.51/3.15 tff(pred_def_2, type, is_index1: $int > $o). 22.51/3.15 tff(pred_def_3, type, valid_values1: map_int_int > $o). 22.51/3.15 tff(pred_def_4, type, grid_eq_sub1: (map_int_int * map_int_int * $int * $int) > $o). 22.51/3.15 tff(pred_def_5, type, chunk_valid_indexes1: (array_int * array_int) > $o). 22.51/3.15 tff(pred_def_6, type, disjoint_chunks1: (array_int * array_int) > $o). 22.51/3.15 tff(pred_def_7, type, well_formed_sudoku1: sudoku_chunks1 > $o). 22.51/3.15 tff(pred_def_8, type, valid_chunk1: (map_int_int * $int * array_int * array_int) > $o). 22.51/3.15 tff(pred_def_9, type, valid_column1: (sudoku_chunks1 * map_int_int * $int) > $o). 22.51/3.15 tff(pred_def_10, type, valid_row1: (sudoku_chunks1 * map_int_int * $int) > $o). 22.51/3.15 tff(pred_def_11, type, valid_square1: (sudoku_chunks1 * map_int_int * $int) > $o). 22.51/3.15 tff(pred_def_12, type, valid1: (sudoku_chunks1 * map_int_int) > $o). 22.51/3.15 tff(pred_def_13, type, full1: map_int_int > $o). 22.51/3.15 tff(pred_def_14, type, included1: (map_int_int * map_int_int) > $o). 22.51/3.15 tff(pred_def_15, type, is_solution_for1: (sudoku_chunks1 * map_int_int * map_int_int) > $o). 22.51/3.15 tff(pred_def_16, type, valid_chunk_up_to1: (map_int_int * $int * array_int * array_int * $int) > $o). 22.51/3.15 tff(pred_def_17, type, valid_up_to1: (sudoku_chunks1 * map_int_int * $int) > $o). 22.51/3.15 tff(f7827,plain,( 22.51/3.15 $false), 22.51/3.15 inference(avatar_sat_refutation,[],[f610,f614,f618,f622,f624,f626,f628,f630,f631,f632,f633,f634,f639,f641,f643,f645,f646,f648,f650,f652,f653,f655,f656,f658,f659,f660,f662,f663,f664,f665,f669,f673,f677,f681,f685,f687,f689,f693,f697,f701,f707,f733,f740,f747,f751,f755,f756,f760,f782,f789,f796,f800,f804,f805,f809,f831,f838,f845,f849,f853,f854,f858,f880,f887,f894,f898,f902,f903,f907,f985,f992,f999,f1003,f1007,f1008,f1012,f1034,f1041,f1048,f1052,f1056,f1057,f1061,f1079,f1087,f1095,f1105,f1123,f1131,f1139,f1149,f1167,f1175,f1183,f1193,f1208,f1212,f1216,f1220,f1224,f1230,f1236,f1242,f1248,f1254,f1269,f1273,f1277,f1281,f1285,f1291,f1297,f1303,f1309,f1315,f1330,f1334,f1338,f1342,f1346,f1352,f1358,f1364,f1370,f1376,f1430,f1434,f1440,f1446,f1452,f1456,f1465,f1469,f1479,f1491,f1495,f1502,f1504,f1514,f1518,f1522,f1526,f1549,f1556,f1560,f1564,f1565,f1569,f1580,f1587,f1597,f1601,f1611,f1619,f1637,f1656,f1674,f1692,f1711,f1834,f1838,f1913,f1948,f1953,f1967,f1972,f2000,f2005,f2032,f2033,f2037,f2041,f2045,f2046,f2050,f2054,f2058,f2073,f2074,f2078,f2082,f2086,f2087,f2091,f2095,f2099,f2114,f2115,f2119,f2123,f2127,f2128,f2132,f2136,f2140,f2145,f2172,f2173,f2177,f2181,f2185,f2186,f2190,f2194,f2198,f2213,f2214,f2218,f2222,f2226,f2227,f2231,f2235,f2239,f2254,f2255,f2259,f2263,f2267,f2268,f2272,f2276,f2280,f2295,f2296,f2300,f2304,f2308,f2309,f2313,f2317,f2321,f2336,f2337,f2341,f2345,f2349,f2350,f2354,f2358,f2362,f2377,f2378,f2382,f2386,f2390,f2391,f2395,f2399,f2403,f2425,f2432,f2436,f2440,f2441,f2445,f2457,f2469,f2481,f2493,f2509,f2521,f2533,f2554,f2558,f2603,f2609,f2624,f2634,f2638,f2646,f2654,f2662,f2695,f2702,f2709,f2713,f2717,f2718,f2722,f2744,f2748,f2754,f2759,f2760,f2766,f2767,f2769,f2805,f2809,f2813,f2820,f2824,f2828,f2835,f2839,f2843,f2850,f2854,f2858,f2863,f2867,f2871,f2878,f2882,f2886,f2893,f2897,f2901,f2908,f2912,f2916,f2931,f2964,f2980,f2996,f3007,f3020,f3021,f3025,f3029,f3033,f3056,f3074,f3084,f3096,f3106,f3114,f3122,f3126,f3132,f3137,f3138,f3144,f3149,f3150,f3156,f3158,f3160,f3161,f3162,f3163,f3164,f3168,f3172,f3173,f3174,f3175,f3176,f3177,f3178,f3186,f3191,f3196,f3292,f3299,f3303,f3325,f3332,f3336,f3358,f3365,f3369,f3391,f3398,f3402,f3424,f3431,f3435,f3457,f3464,f3468,f3485,f3510,f3535,f3560,f3566,f3581,f3587,f3602,f3608,f3661,f3668,f3675,f3679,f3683,f3684,f3688,f3718,f3722,f3726,f3727,f3728,f3729,f3730,f3731,f3736,f3763,f3767,f3771,f3772,f3773,f3774,f3775,f3776,f3781,f3804,f3995,f3996,f4000,f4004,f4008,f4071,f4072,f4076,f4084,f4085,f4089,f4096,f4130,f4131,f4135,f4143,f4144,f4148,f4157,f4158,f4162,f4216,f4224,f4232,f4240,f4245,f4250,f4255,f4260,f4265,f4270,f4275,f4280,f4285,f4290,f4295,f4308,f4313,f4321,f4329,f4337,f4365,f4373,f4381,f4389,f4397,f4405,f4413,f4421,f4425,f4445,f4446,f4450,f4557,f4596,f4728,f4737,f4746,f4779,f4788,f4797,f4831,f4840,f4849,f4858,f4867,f4876,f4885,f4894,f4913,f4985,f4990,f5002,f5006,f5018,f5022,f5047,f5051,f5063,f5068,f5080,f5084,f5139,f5159,f5164,f5169,f5174,f5179,f5184,f5189,f5194,f5199,f5204,f5209,f5224,f5229,f5338,f5342,f5367,f5371,f5957,f5974,f5979,f5984,f5989,f5994,f5999,f6004,f6009,f6014,f6019,f6024,f6039,f6044,f6980,f6989,f6991,f7007,f7016,f7018,f7034,f7043,f7045,f7064,f7089,f7120,f7122,f7147,f7178,f7180,f7208,f7239,f7241,f7266,f7297,f7299,f7324,f7355,f7357,f7382,f7413,f7415,f7434,f7538,f7567,f7571,f7579,f7587,f7621,f7641,f7663,f7692,f7693,f7701,f7709,f7743,f7778,f7807,f7808,f7816,f7824])). 22.51/3.15 tff(f7824,plain,( 22.51/3.15 ~spl30_401 | spl30_523 | ~spl30_493 | ~spl30_12 | ~spl30_81 | ~spl30_82 | ~spl30_401), 22.51/3.15 inference(avatar_split_clause,[],[f7820,f4094,f1077,f1074,f608,f6042,f7822,f4094])). 22.51/3.15 tff(f7822,plain,( 22.51/3.15 spl30_523 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_523])])). 22.51/3.15 tff(f6042,plain,( 22.51/3.15 spl30_493 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_493])])). 22.51/3.15 tff(f608,plain,( 22.51/3.15 spl30_12 <=> 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)), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 22.51/3.15 tff(f1074,plain,( 22.51/3.15 spl30_81 <=> 9 = sK2), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_81])])). 22.51/3.15 tff(f1077,plain,( 22.51/3.15 spl30_82 <=> 81 = sK0), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 22.51/3.15 tff(f4094,plain,( 22.51/3.15 spl30_401 <=> is_index1(9)), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_401])])). 22.51/3.15 tff(f7820,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_81 | ~spl30_82 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7819,f4156])). 22.51/3.15 tff(f4156,plain,( 22.51/3.15 81 = sK0 | ~spl30_82), 22.51/3.15 inference(avatar_component_clause,[],[f1077])). 22.51/3.15 tff(f7819,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_81 | ~spl30_82 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7818,f4444])). 22.51/3.15 tff(f4444,plain,( 22.51/3.15 9 = sK2 | ~spl30_81), 22.51/3.15 inference(avatar_component_clause,[],[f1074])). 22.51/3.15 tff(f7818,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_81 | ~spl30_82 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7817,f4156])). 22.51/3.15 tff(f7817,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_81 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7774,f4444])). 22.51/3.15 tff(f7774,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_401)), 22.51/3.15 inference(resolution,[],[f3634,f4103])). 22.51/3.15 tff(f4103,plain,( 22.51/3.15 ( ! [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_401), 22.51/3.15 inference(resolution,[],[f4095,f365])). 22.51/3.15 tff(f365,plain,( 22.51/3.15 ( ! [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)) )), 22.51/3.15 inference(cnf_transformation,[],[f135])). 22.51/3.15 tff(f135,plain,( 22.51/3.15 ! [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))), 22.51/3.15 inference(flattening,[],[f134])). 22.51/3.15 tff(f134,plain,( 22.51/3.15 ! [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))), 22.51/3.15 inference(ennf_transformation,[],[f95])). 22.51/3.15 tff(f95,plain,( 22.51/3.15 ! [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)))), 22.51/3.15 inference(rectify,[],[f55])). 22.51/3.15 tff(f55,axiom,( 22.51/3.15 ! [X1 : map_int_int,X47 : map_int_int] : (included1(X1,X47) => ! [X2 : $int,X0 : array_int,X14 : array_int] : ((valid_chunk1(X47,X2,X0,X14) & chunk_valid_indexes1(X0,X14) & is_index1(X2)) => valid_chunk1(X1,X2,X0,X14)))), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_valid_chunk)). 22.51/3.15 tff(f4095,plain,( 22.51/3.15 is_index1(9) | ~spl30_401), 22.51/3.15 inference(avatar_component_clause,[],[f4094])). 22.51/3.15 tff(f3634,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3633,f455])). 22.51/3.15 tff(f455,plain,( 22.51/3.15 ( ! [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) )), 22.51/3.15 inference(cnf_transformation,[],[f124])). 22.51/3.15 tff(f124,plain,( 22.51/3.15 ! [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), 22.51/3.15 inference(rectify,[],[f48])). 22.51/3.15 tff(f48,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : column_start1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X4), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_start_def1)). 22.51/3.15 tff(f3633,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3631,f457])). 22.51/3.15 tff(f457,plain,( 22.51/3.15 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1) )), 22.51/3.15 inference(cnf_transformation,[],[f126])). 22.51/3.15 tff(f126,plain,( 22.51/3.15 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1), 22.51/3.15 inference(rectify,[],[f25])). 22.51/3.15 tff(f25,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : column_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X5), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_offsets_def1)). 22.51/3.15 tff(f3631,plain,( 22.51/3.15 ( ! [X0:$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_12), 22.51/3.15 inference(resolution,[],[f1484,f404])). 22.51/3.15 tff(f404,plain,( 22.51/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)) )), 22.51/3.15 inference(cnf_transformation,[],[f198])). 22.51/3.15 tff(f198,plain,( 22.51/3.15 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : ((valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) & (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)))), 22.51/3.15 inference(nnf_transformation,[],[f11])). 22.51/3.15 tff(f11,axiom,( 22.51/3.15 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_column1(X0,X1,X2) <=> valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)))), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_column_def)). 22.51/3.15 tff(f1484,plain,( 22.51/3.15 ( ! [X4:$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_12), 22.51/3.15 inference(resolution,[],[f635,f386])). 22.51/3.15 tff(f386,plain,( 22.51/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 22.51/3.15 inference(cnf_transformation,[],[f193])). 22.51/3.15 tff(f193,plain,( 22.51/3.15 ! [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)))))), 22.51/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f191,f192])). 22.51/3.15 tff(f192,plain,( 22.51/3.15 ! [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))))), 22.51/3.15 introduced(choice_axiom,[])). 22.51/3.15 tff(f191,plain,( 22.51/3.15 ! [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))))), 22.51/3.15 inference(rectify,[],[f190])). 22.51/3.15 tff(f190,plain,( 22.51/3.15 ! [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))))), 22.51/3.15 inference(nnf_transformation,[],[f140])). 22.51/3.15 tff(f140,plain,( 22.51/3.15 ! [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))), 22.51/3.15 inference(ennf_transformation,[],[f52])). 22.51/3.15 tff(f52,axiom,( 22.51/3.15 ! [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))), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_def)). 22.51/3.15 tff(f635,plain,( 22.51/3.15 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_12), 22.51/3.15 inference(avatar_component_clause,[],[f608])). 22.51/3.15 tff(f7816,plain,( 22.51/3.15 ~spl30_10 | spl30_522 | ~spl30_493 | ~spl30_10 | ~spl30_12 | ~spl30_81 | ~spl30_82), 22.51/3.15 inference(avatar_split_clause,[],[f7812,f1077,f1074,f608,f602,f6042,f7814,f602])). 22.51/3.15 tff(f7814,plain,( 22.51/3.15 spl30_522 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_522])])). 22.51/3.15 tff(f602,plain,( 22.51/3.15 spl30_10 <=> is_index1(sK14)), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 22.51/3.15 tff(f7812,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7811,f4156])). 22.51/3.15 tff(f7811,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7810,f4444])). 22.51/3.15 tff(f7810,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7809,f4156])). 22.51/3.15 tff(f7809,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_81)), 22.51/3.15 inference(forward_demodulation,[],[f7773,f4444])). 22.51/3.15 tff(f7773,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12)), 22.51/3.15 inference(resolution,[],[f3634,f2923])). 22.51/3.15 tff(f2923,plain,( 22.51/3.15 ( ! [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_10), 22.51/3.15 inference(resolution,[],[f2768,f365])). 22.51/3.15 tff(f2768,plain,( 22.51/3.15 is_index1(sK14) | ~spl30_10), 22.51/3.15 inference(avatar_component_clause,[],[f602])). 22.51/3.15 tff(f7808,plain,( 22.51/3.15 ~spl30_515 | ~spl30_10 | ~spl30_12 | ~spl30_333), 22.51/3.15 inference(avatar_split_clause,[],[f7772,f3194,f608,f602,f7569])). 22.51/3.15 tff(f7569,plain,( 22.51/3.15 spl30_515 <=> included1(sK13,sK13)), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_515])])). 22.51/3.15 tff(f3194,plain,( 22.51/3.15 spl30_333 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_333])])). 22.51/3.15 tff(f7772,plain,( 22.51/3.15 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_12 | ~spl30_333)), 22.51/3.15 inference(resolution,[],[f3634,f3195])). 22.51/3.15 tff(f3195,plain,( 22.51/3.15 ( ! [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_333), 22.51/3.15 inference(avatar_component_clause,[],[f3194])). 22.51/3.15 tff(f7807,plain,( 22.51/3.15 spl30_521 | ~spl30_493 | ~spl30_12 | ~spl30_81 | ~spl30_82), 22.51/3.15 inference(avatar_split_clause,[],[f7802,f1077,f1074,f608,f6042,f7804])). 22.51/3.15 tff(f7804,plain,( 22.51/3.15 spl30_521 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~included1(X4,sK13) | ~is_index1(X3))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_521])])). 22.51/3.15 tff(f7802,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7801,f4156])). 22.51/3.15 tff(f7801,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7800,f4444])). 22.51/3.15 tff(f7800,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_81 | ~spl30_82)), 22.51/3.15 inference(forward_demodulation,[],[f7799,f4156])). 22.51/3.15 tff(f7799,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_81)), 22.51/3.15 inference(forward_demodulation,[],[f7777,f4444])). 22.51/3.15 tff(f7777,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12), 22.51/3.15 inference(duplicate_literal_removal,[],[f7771])). 22.51/3.15 tff(f7771,plain,( 22.51/3.15 ( ! [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_12), 22.51/3.15 inference(resolution,[],[f3634,f365])). 22.51/3.15 tff(f7778,plain,( 22.51/3.15 ~spl30_10 | spl30_3 | ~spl30_12), 22.51/3.15 inference(avatar_split_clause,[],[f7769,f608,f581,f602])). 22.51/3.15 tff(f581,plain,( 22.51/3.15 spl30_3 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 22.51/3.15 tff(f7769,plain,( 22.51/3.15 ~is_index1(sK14) | (spl30_3 | ~spl30_12)), 22.51/3.15 inference(resolution,[],[f3634,f582])). 22.51/3.15 tff(f582,plain,( 22.51/3.15 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_3), 22.51/3.15 inference(avatar_component_clause,[],[f581])). 22.51/3.15 tff(f7743,plain,( 22.51/3.15 spl30_462 | ~spl30_6 | ~spl30_93 | ~spl30_94), 22.51/3.15 inference(avatar_split_clause,[],[f7741,f1165,f1162,f590,f5137])). 22.51/3.15 tff(f5137,plain,( 22.51/3.15 spl30_462 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_462])])). 22.51/3.15 tff(f590,plain,( 22.51/3.15 spl30_6 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 22.51/3.15 tff(f1162,plain,( 22.51/3.15 spl30_93 <=> 9 = sK10), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 22.51/3.15 tff(f1165,plain,( 22.51/3.15 spl30_94 <=> 81 = sK8), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 22.51/3.15 tff(f7741,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_6 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7740,f4129])). 22.51/3.15 tff(f4129,plain,( 22.51/3.15 81 = sK8 | ~spl30_94), 22.51/3.15 inference(avatar_component_clause,[],[f1165])). 22.51/3.15 tff(f7740,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_6 | ~spl30_93)), 22.51/3.15 inference(forward_demodulation,[],[f642,f4142])). 22.51/3.15 tff(f4142,plain,( 22.51/3.15 9 = sK10 | ~spl30_93), 22.51/3.15 inference(avatar_component_clause,[],[f1162])). 22.51/3.15 tff(f642,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_6), 22.51/3.15 inference(avatar_component_clause,[],[f590])). 22.51/3.15 tff(f7709,plain,( 22.51/3.15 ~spl30_401 | spl30_520 | ~spl30_474 | ~spl30_12 | ~spl30_93 | ~spl30_94 | ~spl30_401), 22.51/3.15 inference(avatar_split_clause,[],[f7705,f4094,f1165,f1162,f608,f5222,f7707,f4094])). 22.51/3.15 tff(f7707,plain,( 22.51/3.15 spl30_520 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_520])])). 22.51/3.15 tff(f5222,plain,( 22.51/3.15 spl30_474 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_474])])). 22.51/3.15 tff(f7705,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_93 | ~spl30_94 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7704,f4129])). 22.51/3.15 tff(f7704,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_93 | ~spl30_94 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7703,f4142])). 22.51/3.15 tff(f7703,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_93 | ~spl30_94 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7702,f4129])). 22.51/3.15 tff(f7702,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_93 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7659,f4142])). 22.51/3.15 tff(f7659,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_401)), 22.51/3.15 inference(resolution,[],[f3622,f4103])). 22.51/3.15 tff(f3622,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3621,f458])). 22.51/3.15 tff(f458,plain,( 22.51/3.15 ( ! [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) )), 22.51/3.15 inference(cnf_transformation,[],[f127])). 22.51/3.15 tff(f127,plain,( 22.51/3.15 ! [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), 22.51/3.15 inference(rectify,[],[f13])). 22.51/3.15 tff(f13,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : square_start1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X8), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_start_def1)). 22.51/3.15 tff(f3621,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3619,f459])). 22.51/3.15 tff(f459,plain,( 22.51/3.15 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5) )), 22.51/3.15 inference(cnf_transformation,[],[f128])). 22.51/3.15 tff(f128,plain,( 22.51/3.15 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5), 22.51/3.15 inference(rectify,[],[f2])). 22.51/3.15 tff(f2,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : square_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X9), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_offsets_def1)). 22.51/3.15 tff(f3619,plain,( 22.51/3.15 ( ! [X0:$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_12), 22.51/3.15 inference(resolution,[],[f1483,f409])). 22.51/3.15 tff(f409,plain,( 22.51/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)) )), 22.51/3.15 inference(cnf_transformation,[],[f200])). 22.51/3.15 tff(f200,plain,( 22.51/3.15 ! [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))))), 22.51/3.15 inference(nnf_transformation,[],[f28])). 22.51/3.15 tff(f28,axiom,( 22.51/3.15 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) <=> valid_square1(X0,X1,X2))), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_square_def)). 22.51/3.15 tff(f1483,plain,( 22.51/3.15 ( ! [X3:$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_12), 22.51/3.15 inference(resolution,[],[f635,f385])). 22.51/3.15 tff(f385,plain,( 22.51/3.15 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 22.51/3.15 inference(cnf_transformation,[],[f193])). 22.51/3.15 tff(f7701,plain,( 22.51/3.15 ~spl30_10 | spl30_519 | ~spl30_474 | ~spl30_10 | ~spl30_12 | ~spl30_93 | ~spl30_94), 22.51/3.15 inference(avatar_split_clause,[],[f7697,f1165,f1162,f608,f602,f5222,f7699,f602])). 22.51/3.15 tff(f7699,plain,( 22.51/3.15 spl30_519 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_519])])). 22.51/3.15 tff(f7697,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7696,f4129])). 22.51/3.15 tff(f7696,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7695,f4142])). 22.51/3.15 tff(f7695,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7694,f4129])). 22.51/3.15 tff(f7694,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12 | ~spl30_93)), 22.51/3.15 inference(forward_demodulation,[],[f7658,f4142])). 22.51/3.15 tff(f7658,plain,( 22.51/3.15 ( ! [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_10 | ~spl30_12)), 22.51/3.15 inference(resolution,[],[f3622,f2923])). 22.51/3.15 tff(f7693,plain,( 22.51/3.15 ~spl30_515 | ~spl30_10 | ~spl30_12 | ~spl30_332), 22.51/3.15 inference(avatar_split_clause,[],[f7657,f3189,f608,f602,f7569])). 22.51/3.15 tff(f3189,plain,( 22.51/3.15 spl30_332 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_332])])). 22.51/3.15 tff(f7657,plain,( 22.51/3.15 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_12 | ~spl30_332)), 22.51/3.15 inference(resolution,[],[f3622,f3190])). 22.51/3.15 tff(f3190,plain,( 22.51/3.15 ( ! [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_332), 22.51/3.15 inference(avatar_component_clause,[],[f3189])). 22.51/3.15 tff(f7692,plain,( 22.51/3.15 spl30_518 | ~spl30_474 | ~spl30_12 | ~spl30_93 | ~spl30_94), 22.51/3.15 inference(avatar_split_clause,[],[f7687,f1165,f1162,f608,f5222,f7689])). 22.51/3.15 tff(f7689,plain,( 22.51/3.15 spl30_518 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~included1(X4,sK13) | ~is_index1(X3))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_518])])). 22.51/3.15 tff(f7687,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7686,f4129])). 22.51/3.15 tff(f7686,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7685,f4142])). 22.51/3.15 tff(f7685,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_93 | ~spl30_94)), 22.51/3.15 inference(forward_demodulation,[],[f7684,f4129])). 22.51/3.15 tff(f7684,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_93)), 22.51/3.15 inference(forward_demodulation,[],[f7662,f4142])). 22.51/3.15 tff(f7662,plain,( 22.51/3.15 ( ! [X4:map_int_int,X3:$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_12), 22.51/3.15 inference(duplicate_literal_removal,[],[f7656])). 22.51/3.15 tff(f7656,plain,( 22.51/3.15 ( ! [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_12), 22.51/3.15 inference(resolution,[],[f3622,f365])). 22.51/3.15 tff(f7663,plain,( 22.51/3.15 ~spl30_10 | spl30_6 | ~spl30_12), 22.51/3.15 inference(avatar_split_clause,[],[f7654,f608,f590,f602])). 22.51/3.15 tff(f7654,plain,( 22.51/3.15 ~is_index1(sK14) | (spl30_6 | ~spl30_12)), 22.51/3.15 inference(resolution,[],[f3622,f591])). 22.51/3.15 tff(f591,plain,( 22.51/3.15 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_6), 22.51/3.15 inference(avatar_component_clause,[],[f590])). 22.51/3.15 tff(f7641,plain,( 22.51/3.15 spl30_515), 22.51/3.15 inference(avatar_contradiction_clause,[],[f7640])). 22.51/3.15 tff(f7640,plain,( 22.51/3.15 $false | spl30_515), 22.51/3.15 inference(trivial_inequality_removal,[],[f7639])). 22.51/3.15 tff(f7639,plain,( 22.51/3.15 tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) != tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) | spl30_515), 22.51/3.15 inference(resolution,[],[f7570,f390])). 22.51/3.15 tff(f390,plain,( 22.51/3.15 ( ! [X0:map_int_int,X1:map_int_int] : (included1(X0,X1) | tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) )), 22.51/3.15 inference(cnf_transformation,[],[f197])). 22.51/3.15 tff(f197,plain,( 22.51/3.15 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | (tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1))))), 22.51/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f195,f196])). 22.51/3.15 tff(f196,plain,( 22.51/3.15 ! [X1 : map_int_int,X0 : map_int_int] : (? [X3 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1)) => (tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1)))), 22.51/3.15 introduced(choice_axiom,[])). 22.51/3.15 tff(f195,plain,( 22.51/3.15 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),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 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1))))), 22.51/3.15 inference(rectify,[],[f194])). 22.51/3.15 tff(f194,plain,( 22.51/3.15 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),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 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) & is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1))))), 22.51/3.15 inference(nnf_transformation,[],[f142])). 22.51/3.15 tff(f142,plain,( 22.51/3.15 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),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))), 22.51/3.15 inference(flattening,[],[f141])). 22.51/3.15 tff(f141,plain,( 22.51/3.15 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),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))), 22.51/3.15 inference(ennf_transformation,[],[f98])). 22.51/3.15 tff(f98,plain,( 22.51/3.15 ! [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(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) <=> included1(X0,X1))), 22.51/3.15 inference(rectify,[],[f69])). 22.51/3.15 tff(f69,plain,( 22.51/3.15 ! [X31 : map_int_int,X41 : map_int_int] : (! [X2 : $int] : ((is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X31),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X31),t2tb1(X2))),1)) => tb2t1(get(int,int,t2tb(X31),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X41),t2tb1(X2)))) <=> included1(X31,X41))), 22.51/3.15 inference(theory_normalization,[],[f20])). 22.51/3.15 tff(f20,axiom,( 22.51/3.15 ! [X31 : map_int_int,X41 : map_int_int] : (! [X2 : $int] : ((is_index1(X2) & $lesseq(tb2t1(get(int,int,t2tb(X31),t2tb1(X2))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X31),t2tb1(X2))))) => tb2t1(get(int,int,t2tb(X31),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X41),t2tb1(X2)))) <=> included1(X31,X41))), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',included_def)). 22.51/3.15 tff(f7570,plain,( 22.51/3.15 ~included1(sK13,sK13) | spl30_515), 22.51/3.15 inference(avatar_component_clause,[],[f7569])). 22.51/3.15 tff(f7621,plain,( 22.51/3.15 spl30_405 | ~spl30_9 | ~spl30_87 | ~spl30_88), 22.51/3.15 inference(avatar_split_clause,[],[f7619,f1121,f1118,f599,f4214])). 22.51/3.15 tff(f4214,plain,( 22.51/3.15 spl30_405 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_405])])). 22.51/3.15 tff(f599,plain,( 22.51/3.15 spl30_9 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 22.51/3.15 tff(f1118,plain,( 22.51/3.15 spl30_87 <=> 9 = sK6), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 22.51/3.15 tff(f1121,plain,( 22.51/3.15 spl30_88 <=> 81 = sK4), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 22.51/3.15 tff(f7619,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_9 | ~spl30_87 | ~spl30_88)), 22.51/3.15 inference(forward_demodulation,[],[f7618,f4070])). 22.51/3.15 tff(f4070,plain,( 22.51/3.15 81 = sK4 | ~spl30_88), 22.51/3.15 inference(avatar_component_clause,[],[f1121])). 22.51/3.15 tff(f7618,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_9 | ~spl30_87)), 22.51/3.15 inference(forward_demodulation,[],[f649,f4083])). 22.51/3.15 tff(f4083,plain,( 22.51/3.15 9 = sK6 | ~spl30_87), 22.51/3.15 inference(avatar_component_clause,[],[f1118])). 22.51/3.15 tff(f649,plain,( 22.51/3.15 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_9), 22.51/3.15 inference(avatar_component_clause,[],[f599])). 22.51/3.15 tff(f7587,plain,( 22.51/3.15 ~spl30_401 | spl30_517 | ~spl30_420 | ~spl30_12 | ~spl30_87 | ~spl30_88 | ~spl30_401), 22.51/3.15 inference(avatar_split_clause,[],[f7583,f4094,f1121,f1118,f608,f4306,f7585,f4094])). 22.51/3.15 tff(f7585,plain,( 22.51/3.15 spl30_517 <=> ! [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))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_517])])). 22.51/3.15 tff(f4306,plain,( 22.51/3.15 spl30_420 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 22.51/3.15 introduced(avatar_definition,[new_symbols(naming,[spl30_420])])). 22.51/3.15 tff(f7583,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_87 | ~spl30_88 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7582,f4070])). 22.51/3.15 tff(f7582,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_87 | ~spl30_88 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7581,f4083])). 22.51/3.15 tff(f7581,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_87 | ~spl30_88 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7580,f4070])). 22.51/3.15 tff(f7580,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_87 | ~spl30_401)), 22.51/3.15 inference(forward_demodulation,[],[f7534,f4083])). 22.51/3.15 tff(f7534,plain,( 22.51/3.15 ( ! [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_12 | ~spl30_401)), 22.51/3.15 inference(resolution,[],[f3615,f4103])). 22.51/3.15 tff(f3615,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3614,f456])). 22.51/3.15 tff(f456,plain,( 22.51/3.15 ( ! [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) )), 22.51/3.15 inference(cnf_transformation,[],[f125])). 22.51/3.15 tff(f125,plain,( 22.51/3.15 ! [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), 22.51/3.15 inference(rectify,[],[f34])). 22.51/3.15 tff(f34,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : row_start1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X6), 22.51/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_start_def1)). 22.51/3.15 tff(f3614,plain,( 22.51/3.15 ( ! [X0:$int] : (valid_chunk1(sK13,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_12), 22.51/3.15 inference(forward_demodulation,[],[f3612,f454])). 22.51/3.15 tff(f454,plain,( 22.51/3.15 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3) )), 22.51/3.15 inference(cnf_transformation,[],[f123])). 22.51/3.15 tff(f123,plain,( 22.51/3.15 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3), 22.51/3.15 inference(rectify,[],[f40])). 22.51/3.15 tff(f40,axiom,( 22.51/3.15 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : row_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X7), 22.51/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_offsets_def1)). 22.51/3.16 tff(f3612,plain,( 22.51/3.16 ( ! [X0:$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_12), 22.51/3.16 inference(resolution,[],[f1482,f407])). 22.51/3.16 tff(f407,plain,( 22.51/3.16 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)) )), 22.51/3.16 inference(cnf_transformation,[],[f199])). 22.51/3.16 tff(f199,plain,( 22.51/3.16 ! [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))))), 22.51/3.16 inference(nnf_transformation,[],[f19])). 22.51/3.16 tff(f19,axiom,( 22.51/3.16 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) <=> valid_row1(X0,X1,X2))), 22.51/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_row_def)). 22.51/3.16 tff(f1482,plain,( 22.51/3.16 ( ! [X2:$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_12), 22.51/3.16 inference(resolution,[],[f635,f384])). 22.51/3.16 tff(f384,plain,( 22.51/3.16 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 22.51/3.16 inference(cnf_transformation,[],[f193])). 22.51/3.16 tff(f7579,plain,( 22.51/3.16 ~spl30_10 | spl30_516 | ~spl30_420 | ~spl30_10 | ~spl30_12 | ~spl30_87 | ~spl30_88), 22.51/3.16 inference(avatar_split_clause,[],[f7575,f1121,f1118,f608,f602,f4306,f7577,f602])). 22.51/3.16 tff(f7577,plain,( 22.51/3.16 spl30_516 <=> ! [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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_516])])). 22.51/3.16 tff(f7575,plain,( 22.51/3.16 ( ! [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_10 | ~spl30_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7574,f4070])). 22.51/3.16 tff(f7574,plain,( 22.51/3.16 ( ! [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_10 | ~spl30_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7573,f4083])). 22.51/3.16 tff(f7573,plain,( 22.51/3.16 ( ! [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_10 | ~spl30_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7572,f4070])). 22.51/3.16 tff(f7572,plain,( 22.51/3.16 ( ! [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_10 | ~spl30_12 | ~spl30_87)), 22.51/3.16 inference(forward_demodulation,[],[f7533,f4083])). 22.51/3.16 tff(f7533,plain,( 22.51/3.16 ( ! [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_10 | ~spl30_12)), 22.51/3.16 inference(resolution,[],[f3615,f2923])). 22.51/3.16 tff(f7571,plain,( 22.51/3.16 ~spl30_515 | ~spl30_10 | ~spl30_12 | ~spl30_331), 22.51/3.16 inference(avatar_split_clause,[],[f7532,f3184,f608,f602,f7569])). 22.51/3.16 tff(f3184,plain,( 22.51/3.16 spl30_331 <=> ! [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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_331])])). 22.51/3.16 tff(f7532,plain,( 22.51/3.16 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_12 | ~spl30_331)), 22.51/3.16 inference(resolution,[],[f3615,f3185])). 22.51/3.16 tff(f3185,plain,( 22.51/3.16 ( ! [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_331), 22.51/3.16 inference(avatar_component_clause,[],[f3184])). 22.51/3.16 tff(f7567,plain,( 22.51/3.16 spl30_514 | ~spl30_420 | ~spl30_12 | ~spl30_87 | ~spl30_88), 22.51/3.16 inference(avatar_split_clause,[],[f7562,f1121,f1118,f608,f4306,f7564])). 22.51/3.16 tff(f7564,plain,( 22.51/3.16 spl30_514 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~included1(X4,sK13) | ~is_index1(X3))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_514])])). 22.51/3.16 tff(f7562,plain,( 22.51/3.16 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7561,f4070])). 22.51/3.16 tff(f7561,plain,( 22.51/3.16 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7560,f4083])). 22.51/3.16 tff(f7560,plain,( 22.51/3.16 ( ! [X4:map_int_int,X3:$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_12 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7559,f4070])). 22.51/3.16 tff(f7559,plain,( 22.51/3.16 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,sK13)) ) | (~spl30_12 | ~spl30_87)), 22.51/3.16 inference(forward_demodulation,[],[f7537,f4083])). 22.51/3.16 tff(f7537,plain,( 22.51/3.16 ( ! [X4:map_int_int,X3:$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_12), 22.51/3.16 inference(duplicate_literal_removal,[],[f7531])). 22.51/3.16 tff(f7531,plain,( 22.51/3.16 ( ! [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_12), 22.51/3.16 inference(resolution,[],[f3615,f365])). 22.51/3.16 tff(f7538,plain,( 22.51/3.16 ~spl30_10 | spl30_9 | ~spl30_12), 22.51/3.16 inference(avatar_split_clause,[],[f7529,f608,f599,f602])). 22.51/3.16 tff(f7529,plain,( 22.51/3.16 ~is_index1(sK14) | (spl30_9 | ~spl30_12)), 22.51/3.16 inference(resolution,[],[f3615,f600])). 22.51/3.16 tff(f600,plain,( 22.51/3.16 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_9), 22.51/3.16 inference(avatar_component_clause,[],[f599])). 22.51/3.16 tff(f7434,plain,( 22.51/3.16 ~spl30_401 | spl30_513 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f7430,f4094,f7432,f4094])). 22.51/3.16 tff(f7432,plain,( 22.51/3.16 spl30_513 <=> ! [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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_513])])). 22.51/3.16 tff(f7430,plain,( 22.51/3.16 ( ! [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_401), 22.51/3.16 inference(duplicate_literal_removal,[],[f7416])). 22.51/3.16 tff(f7416,plain,( 22.51/3.16 ( ! [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_401), 22.51/3.16 inference(resolution,[],[f4103,f365])). 22.51/3.16 tff(f7415,plain,( 22.51/3.16 spl30_512 | ~spl30_87 | ~spl30_88 | ~spl30_360), 22.51/3.16 inference(avatar_split_clause,[],[f7414,f3455,f1121,f1118,f7411])). 22.51/3.16 tff(f7411,plain,( 22.51/3.16 spl30_512 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_512])])). 22.51/3.16 tff(f3455,plain,( 22.51/3.16 spl30_360 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_360])])). 22.51/3.16 tff(f7414,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_88 | ~spl30_360)), 22.51/3.16 inference(forward_demodulation,[],[f7372,f4070])). 22.51/3.16 tff(f7372,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_360)), 22.51/3.16 inference(superposition,[],[f3456,f4083])). 22.51/3.16 tff(f3456,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_360), 22.51/3.16 inference(avatar_component_clause,[],[f3455])). 22.51/3.16 tff(f7413,plain,( 22.51/3.16 spl30_512 | ~spl30_87 | ~spl30_88 | ~spl30_360), 22.51/3.16 inference(avatar_split_clause,[],[f7409,f3455,f1121,f1118,f7411])). 22.51/3.16 tff(f7409,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_88 | ~spl30_360)), 22.51/3.16 inference(forward_demodulation,[],[f7371,f4083])). 22.51/3.16 tff(f7371,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_88 | ~spl30_360)), 22.51/3.16 inference(superposition,[],[f3456,f4070])). 22.51/3.16 tff(f7382,plain,( 22.51/3.16 spl30_511 | ~spl30_87 | ~spl30_88 | ~spl30_360), 22.51/3.16 inference(avatar_split_clause,[],[f7378,f3455,f1121,f1118,f7380])). 22.51/3.16 tff(f7380,plain,( 22.51/3.16 spl30_511 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_511])])). 22.51/3.16 tff(f7378,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_87 | ~spl30_88 | ~spl30_360)), 22.51/3.16 inference(forward_demodulation,[],[f7377,f4070])). 22.51/3.16 tff(f7377,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_87 | ~spl30_360)), 22.51/3.16 inference(forward_demodulation,[],[f7360,f4083])). 22.51/3.16 tff(f7360,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_360), 22.51/3.16 inference(resolution,[],[f3456,f357])). 22.51/3.16 tff(f357,plain,( 22.51/3.16 ( ! [X0:$int] : ($less(X0,81) | ~is_index1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f175])). 22.51/3.16 tff(f175,plain,( 22.51/3.16 ! [X0 : $int] : (((~$less(X0,0) & $less(X0,81)) | ~is_index1(X0)) & (is_index1(X0) | $less(X0,0) | ~$less(X0,81)))), 22.51/3.16 inference(flattening,[],[f174])). 22.51/3.16 tff(f174,plain,( 22.51/3.16 ! [X0 : $int] : (((~$less(X0,0) & $less(X0,81)) | ~is_index1(X0)) & (is_index1(X0) | ($less(X0,0) | ~$less(X0,81))))), 22.51/3.16 inference(nnf_transformation,[],[f91])). 22.51/3.16 tff(f91,plain,( 22.51/3.16 ! [X0 : $int] : ((~$less(X0,0) & $less(X0,81)) <=> is_index1(X0))), 22.51/3.16 inference(rectify,[],[f65])). 22.51/3.16 tff(f65,plain,( 22.51/3.16 ! [X2 : $int] : ((~$less(X2,0) & $less(X2,81)) <=> is_index1(X2))), 22.51/3.16 inference(theory_normalization,[],[f38])). 22.51/3.16 tff(f38,axiom,( 22.51/3.16 ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,81)) <=> is_index1(X2))), 22.51/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_index_def)). 22.51/3.16 tff(f7357,plain,( 22.51/3.16 spl30_510 | ~spl30_87 | ~spl30_88 | ~spl30_355), 22.51/3.16 inference(avatar_split_clause,[],[f7356,f3422,f1121,f1118,f7353])). 22.51/3.16 tff(f7353,plain,( 22.51/3.16 spl30_510 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_510])])). 22.51/3.16 tff(f3422,plain,( 22.51/3.16 spl30_355 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_355])])). 22.51/3.16 tff(f7356,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_88 | ~spl30_355)), 22.51/3.16 inference(forward_demodulation,[],[f7314,f4070])). 22.51/3.16 tff(f7314,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_355)), 22.51/3.16 inference(superposition,[],[f3423,f4083])). 22.51/3.16 tff(f3423,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_355), 22.51/3.16 inference(avatar_component_clause,[],[f3422])). 22.51/3.16 tff(f7355,plain,( 22.51/3.16 spl30_510 | ~spl30_87 | ~spl30_88 | ~spl30_355), 22.51/3.16 inference(avatar_split_clause,[],[f7351,f3422,f1121,f1118,f7353])). 22.51/3.16 tff(f7351,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_87 | ~spl30_88 | ~spl30_355)), 22.51/3.16 inference(forward_demodulation,[],[f7313,f4083])). 22.51/3.16 tff(f7313,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_88 | ~spl30_355)), 22.51/3.16 inference(superposition,[],[f3423,f4070])). 22.51/3.16 tff(f7324,plain,( 22.51/3.16 spl30_509 | ~spl30_87 | ~spl30_88 | ~spl30_355), 22.51/3.16 inference(avatar_split_clause,[],[f7320,f3422,f1121,f1118,f7322])). 22.51/3.16 tff(f7322,plain,( 22.51/3.16 spl30_509 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_509])])). 22.51/3.16 tff(f7320,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_87 | ~spl30_88 | ~spl30_355)), 22.51/3.16 inference(forward_demodulation,[],[f7319,f4070])). 22.51/3.16 tff(f7319,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_87 | ~spl30_355)), 22.51/3.16 inference(forward_demodulation,[],[f7302,f4083])). 22.51/3.16 tff(f7302,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_355), 22.51/3.16 inference(resolution,[],[f3423,f357])). 22.51/3.16 tff(f7299,plain,( 22.51/3.16 spl30_508 | ~spl30_93 | ~spl30_94 | ~spl30_350), 22.51/3.16 inference(avatar_split_clause,[],[f7298,f3389,f1165,f1162,f7295])). 22.51/3.16 tff(f7295,plain,( 22.51/3.16 spl30_508 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_508])])). 22.51/3.16 tff(f3389,plain,( 22.51/3.16 spl30_350 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_350])])). 22.51/3.16 tff(f7298,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_94 | ~spl30_350)), 22.51/3.16 inference(forward_demodulation,[],[f7256,f4129])). 22.51/3.16 tff(f7256,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_350)), 22.51/3.16 inference(superposition,[],[f3390,f4142])). 22.51/3.16 tff(f3390,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_350), 22.51/3.16 inference(avatar_component_clause,[],[f3389])). 22.51/3.16 tff(f7297,plain,( 22.51/3.16 spl30_508 | ~spl30_93 | ~spl30_94 | ~spl30_350), 22.51/3.16 inference(avatar_split_clause,[],[f7293,f3389,f1165,f1162,f7295])). 22.51/3.16 tff(f7293,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_94 | ~spl30_350)), 22.51/3.16 inference(forward_demodulation,[],[f7255,f4142])). 22.51/3.16 tff(f7255,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_94 | ~spl30_350)), 22.51/3.16 inference(superposition,[],[f3390,f4129])). 22.51/3.16 tff(f7266,plain,( 22.51/3.16 spl30_507 | ~spl30_93 | ~spl30_94 | ~spl30_350), 22.51/3.16 inference(avatar_split_clause,[],[f7262,f3389,f1165,f1162,f7264])). 22.51/3.16 tff(f7264,plain,( 22.51/3.16 spl30_507 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_507])])). 22.51/3.16 tff(f7262,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_93 | ~spl30_94 | ~spl30_350)), 22.51/3.16 inference(forward_demodulation,[],[f7261,f4129])). 22.51/3.16 tff(f7261,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_93 | ~spl30_350)), 22.51/3.16 inference(forward_demodulation,[],[f7244,f4142])). 22.51/3.16 tff(f7244,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_350), 22.51/3.16 inference(resolution,[],[f3390,f357])). 22.51/3.16 tff(f7241,plain,( 22.51/3.16 spl30_506 | ~spl30_93 | ~spl30_94 | ~spl30_345), 22.51/3.16 inference(avatar_split_clause,[],[f7240,f3356,f1165,f1162,f7237])). 22.51/3.16 tff(f7237,plain,( 22.51/3.16 spl30_506 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_506])])). 22.51/3.16 tff(f3356,plain,( 22.51/3.16 spl30_345 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_345])])). 22.51/3.16 tff(f7240,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_94 | ~spl30_345)), 22.51/3.16 inference(forward_demodulation,[],[f7198,f4129])). 22.51/3.16 tff(f7198,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_345)), 22.51/3.16 inference(superposition,[],[f3357,f4142])). 22.51/3.16 tff(f3357,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_345), 22.51/3.16 inference(avatar_component_clause,[],[f3356])). 22.51/3.16 tff(f7239,plain,( 22.51/3.16 spl30_506 | ~spl30_93 | ~spl30_94 | ~spl30_345), 22.51/3.16 inference(avatar_split_clause,[],[f7235,f3356,f1165,f1162,f7237])). 22.51/3.16 tff(f7235,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_93 | ~spl30_94 | ~spl30_345)), 22.51/3.16 inference(forward_demodulation,[],[f7197,f4142])). 22.51/3.16 tff(f7197,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_94 | ~spl30_345)), 22.51/3.16 inference(superposition,[],[f3357,f4129])). 22.51/3.16 tff(f7208,plain,( 22.51/3.16 spl30_505 | ~spl30_93 | ~spl30_94 | ~spl30_345), 22.51/3.16 inference(avatar_split_clause,[],[f7204,f3356,f1165,f1162,f7206])). 22.51/3.16 tff(f7206,plain,( 22.51/3.16 spl30_505 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_505])])). 22.51/3.16 tff(f7204,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_93 | ~spl30_94 | ~spl30_345)), 22.51/3.16 inference(forward_demodulation,[],[f7203,f4129])). 22.51/3.16 tff(f7203,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_93 | ~spl30_345)), 22.51/3.16 inference(forward_demodulation,[],[f7186,f4142])). 22.51/3.16 tff(f7186,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_345), 22.51/3.16 inference(resolution,[],[f3357,f357])). 22.51/3.16 tff(f7180,plain,( 22.51/3.16 spl30_504 | ~spl30_81 | ~spl30_82 | ~spl30_340), 22.51/3.16 inference(avatar_split_clause,[],[f7179,f3323,f1077,f1074,f7176])). 22.51/3.16 tff(f7176,plain,( 22.51/3.16 spl30_504 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_504])])). 22.51/3.16 tff(f3323,plain,( 22.51/3.16 spl30_340 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_340])])). 22.51/3.16 tff(f7179,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_340)), 22.51/3.16 inference(forward_demodulation,[],[f7137,f4156])). 22.51/3.16 tff(f7137,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_340)), 22.51/3.16 inference(superposition,[],[f3324,f4444])). 22.51/3.16 tff(f3324,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_340), 22.51/3.16 inference(avatar_component_clause,[],[f3323])). 22.51/3.16 tff(f7178,plain,( 22.51/3.16 spl30_504 | ~spl30_81 | ~spl30_82 | ~spl30_340), 22.51/3.16 inference(avatar_split_clause,[],[f7174,f3323,f1077,f1074,f7176])). 22.51/3.16 tff(f7174,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_340)), 22.51/3.16 inference(forward_demodulation,[],[f7136,f4444])). 22.51/3.16 tff(f7136,plain,( 22.51/3.16 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_82 | ~spl30_340)), 22.51/3.16 inference(superposition,[],[f3324,f4156])). 22.51/3.16 tff(f7147,plain,( 22.51/3.16 spl30_503 | ~spl30_81 | ~spl30_82 | ~spl30_340), 22.51/3.16 inference(avatar_split_clause,[],[f7143,f3323,f1077,f1074,f7145])). 22.51/3.16 tff(f7145,plain,( 22.51/3.16 spl30_503 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_503])])). 22.51/3.16 tff(f7143,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_82 | ~spl30_340)), 22.51/3.16 inference(forward_demodulation,[],[f7142,f4156])). 22.51/3.16 tff(f7142,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_340)), 22.51/3.16 inference(forward_demodulation,[],[f7125,f4444])). 22.51/3.16 tff(f7125,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_340), 22.51/3.16 inference(resolution,[],[f3324,f357])). 22.51/3.16 tff(f7122,plain,( 22.51/3.16 spl30_502 | ~spl30_81 | ~spl30_82 | ~spl30_335), 22.51/3.16 inference(avatar_split_clause,[],[f7121,f3290,f1077,f1074,f7118])). 22.51/3.16 tff(f7118,plain,( 22.51/3.16 spl30_502 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_502])])). 22.51/3.16 tff(f3290,plain,( 22.51/3.16 spl30_335 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_335])])). 22.51/3.16 tff(f7121,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_335)), 22.51/3.16 inference(forward_demodulation,[],[f7079,f4156])). 22.51/3.16 tff(f7079,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_335)), 22.51/3.16 inference(superposition,[],[f3291,f4444])). 22.51/3.16 tff(f3291,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_335), 22.51/3.16 inference(avatar_component_clause,[],[f3290])). 22.51/3.16 tff(f7120,plain,( 22.51/3.16 spl30_502 | ~spl30_81 | ~spl30_82 | ~spl30_335), 22.51/3.16 inference(avatar_split_clause,[],[f7116,f3290,f1077,f1074,f7118])). 22.51/3.16 tff(f7116,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_81 | ~spl30_82 | ~spl30_335)), 22.51/3.16 inference(forward_demodulation,[],[f7078,f4444])). 22.51/3.16 tff(f7078,plain,( 22.51/3.16 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_82 | ~spl30_335)), 22.51/3.16 inference(superposition,[],[f3291,f4156])). 22.51/3.16 tff(f7089,plain,( 22.51/3.16 spl30_501 | ~spl30_81 | ~spl30_82 | ~spl30_335), 22.51/3.16 inference(avatar_split_clause,[],[f7085,f3290,f1077,f1074,f7087])). 22.51/3.16 tff(f7087,plain,( 22.51/3.16 spl30_501 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_501])])). 22.51/3.16 tff(f7085,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_82 | ~spl30_335)), 22.51/3.16 inference(forward_demodulation,[],[f7084,f4156])). 22.51/3.16 tff(f7084,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_81 | ~spl30_335)), 22.51/3.16 inference(forward_demodulation,[],[f7067,f4444])). 22.51/3.16 tff(f7067,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_335), 22.51/3.16 inference(resolution,[],[f3291,f357])). 22.51/3.16 tff(f7064,plain,( 22.51/3.16 ~spl30_10 | spl30_500 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f7060,f602,f7062,f602])). 22.51/3.16 tff(f7062,plain,( 22.51/3.16 spl30_500 <=> ! [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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_500])])). 22.51/3.16 tff(f7060,plain,( 22.51/3.16 ( ! [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_10), 22.51/3.16 inference(duplicate_literal_removal,[],[f7046])). 22.51/3.16 tff(f7046,plain,( 22.51/3.16 ( ! [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_10), 22.51/3.16 inference(resolution,[],[f2923,f365])). 22.51/3.16 tff(f7045,plain,( 22.51/3.16 spl30_499 | ~spl30_92 | ~spl30_93 | ~spl30_94), 22.51/3.16 inference(avatar_split_clause,[],[f7044,f1165,f1162,f1159,f7041])). 22.51/3.16 tff(f7041,plain,( 22.51/3.16 spl30_499 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_499])])). 22.51/3.16 tff(f1159,plain,( 22.51/3.16 spl30_92 <=> $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 22.51/3.16 tff(f7044,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_92 | ~spl30_93 | ~spl30_94)), 22.51/3.16 inference(forward_demodulation,[],[f7028,f4129])). 22.51/3.16 tff(f7028,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_92 | ~spl30_93)), 22.51/3.16 inference(superposition,[],[f2110,f4142])). 22.51/3.16 tff(f2110,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_92), 22.51/3.16 inference(avatar_component_clause,[],[f1159])). 22.51/3.16 tff(f7043,plain,( 22.51/3.16 spl30_499 | ~spl30_92 | ~spl30_93 | ~spl30_94), 22.51/3.16 inference(avatar_split_clause,[],[f7039,f1165,f1162,f1159,f7041])). 22.51/3.16 tff(f7039,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_92 | ~spl30_93 | ~spl30_94)), 22.51/3.16 inference(forward_demodulation,[],[f7027,f4142])). 22.51/3.16 tff(f7027,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_92 | ~spl30_94)), 22.51/3.16 inference(superposition,[],[f2110,f4129])). 22.51/3.16 tff(f7034,plain,( 22.51/3.16 ~spl30_498 | ~spl30_92 | ~spl30_93 | ~spl30_94), 22.51/3.16 inference(avatar_split_clause,[],[f7030,f1165,f1162,f1159,f7032])). 22.51/3.16 tff(f7032,plain,( 22.51/3.16 spl30_498 <=> is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_498])])). 22.51/3.16 tff(f7030,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_92 | ~spl30_93 | ~spl30_94)), 22.51/3.16 inference(forward_demodulation,[],[f7029,f4129])). 22.51/3.16 tff(f7029,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_92 | ~spl30_93)), 22.51/3.16 inference(forward_demodulation,[],[f7020,f4142])). 22.51/3.16 tff(f7020,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_92), 22.51/3.16 inference(resolution,[],[f2110,f358])). 22.51/3.16 tff(f358,plain,( 22.51/3.16 ( ! [X0:$int] : (~$less(X0,0) | ~is_index1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f175])). 22.51/3.16 tff(f7018,plain,( 22.51/3.16 spl30_497 | ~spl30_86 | ~spl30_87 | ~spl30_88), 22.51/3.16 inference(avatar_split_clause,[],[f7017,f1121,f1118,f1115,f7014])). 22.51/3.16 tff(f7014,plain,( 22.51/3.16 spl30_497 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_497])])). 22.51/3.16 tff(f1115,plain,( 22.51/3.16 spl30_86 <=> $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_86])])). 22.51/3.16 tff(f7017,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_86 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7001,f4070])). 22.51/3.16 tff(f7001,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_86 | ~spl30_87)), 22.51/3.16 inference(superposition,[],[f2069,f4083])). 22.51/3.16 tff(f2069,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_86), 22.51/3.16 inference(avatar_component_clause,[],[f1115])). 22.51/3.16 tff(f7016,plain,( 22.51/3.16 spl30_497 | ~spl30_86 | ~spl30_87 | ~spl30_88), 22.51/3.16 inference(avatar_split_clause,[],[f7012,f1121,f1118,f1115,f7014])). 22.51/3.16 tff(f7012,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_86 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7000,f4083])). 22.51/3.16 tff(f7000,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_86 | ~spl30_88)), 22.51/3.16 inference(superposition,[],[f2069,f4070])). 22.51/3.16 tff(f7007,plain,( 22.51/3.16 ~spl30_496 | ~spl30_86 | ~spl30_87 | ~spl30_88), 22.51/3.16 inference(avatar_split_clause,[],[f7003,f1121,f1118,f1115,f7005])). 22.51/3.16 tff(f7005,plain,( 22.51/3.16 spl30_496 <=> is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_496])])). 22.51/3.16 tff(f7003,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_86 | ~spl30_87 | ~spl30_88)), 22.51/3.16 inference(forward_demodulation,[],[f7002,f4070])). 22.51/3.16 tff(f7002,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_86 | ~spl30_87)), 22.51/3.16 inference(forward_demodulation,[],[f6993,f4083])). 22.51/3.16 tff(f6993,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_86), 22.51/3.16 inference(resolution,[],[f2069,f358])). 22.51/3.16 tff(f6991,plain,( 22.51/3.16 spl30_495 | ~spl30_80 | ~spl30_81 | ~spl30_82), 22.51/3.16 inference(avatar_split_clause,[],[f6990,f1077,f1074,f1071,f6987])). 22.51/3.16 tff(f6987,plain,( 22.51/3.16 spl30_495 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_495])])). 22.51/3.16 tff(f1071,plain,( 22.51/3.16 spl30_80 <=> $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 22.51/3.16 tff(f6990,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_80 | ~spl30_81 | ~spl30_82)), 22.51/3.16 inference(forward_demodulation,[],[f6974,f4156])). 22.51/3.16 tff(f6974,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_80 | ~spl30_81)), 22.51/3.16 inference(superposition,[],[f2028,f4444])). 22.51/3.16 tff(f2028,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_80), 22.51/3.16 inference(avatar_component_clause,[],[f1071])). 22.51/3.16 tff(f6989,plain,( 22.51/3.16 spl30_495 | ~spl30_80 | ~spl30_81 | ~spl30_82), 22.51/3.16 inference(avatar_split_clause,[],[f6985,f1077,f1074,f1071,f6987])). 22.51/3.16 tff(f6985,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_80 | ~spl30_81 | ~spl30_82)), 22.51/3.16 inference(forward_demodulation,[],[f6973,f4444])). 22.51/3.16 tff(f6973,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_80 | ~spl30_82)), 22.51/3.16 inference(superposition,[],[f2028,f4156])). 22.51/3.16 tff(f6980,plain,( 22.51/3.16 ~spl30_494 | ~spl30_80 | ~spl30_81 | ~spl30_82), 22.51/3.16 inference(avatar_split_clause,[],[f6976,f1077,f1074,f1071,f6978])). 22.51/3.16 tff(f6978,plain,( 22.51/3.16 spl30_494 <=> is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_494])])). 22.51/3.16 tff(f6976,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_80 | ~spl30_81 | ~spl30_82)), 22.51/3.16 inference(forward_demodulation,[],[f6975,f4156])). 22.51/3.16 tff(f6975,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_80 | ~spl30_81)), 22.51/3.16 inference(forward_demodulation,[],[f6966,f4444])). 22.51/3.16 tff(f6966,plain,( 22.51/3.16 ~is_index1(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_80), 22.51/3.16 inference(resolution,[],[f2028,f358])). 22.51/3.16 tff(f6044,plain,( 22.51/3.16 spl30_493 | ~spl30_2 | ~spl30_81 | ~spl30_82), 22.51/3.16 inference(avatar_split_clause,[],[f6040,f1077,f1074,f578,f6042])). 22.51/3.16 tff(f578,plain,( 22.51/3.16 spl30_2 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 22.51/3.16 tff(f6040,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_2 | ~spl30_81 | ~spl30_82)), 22.51/3.16 inference(forward_demodulation,[],[f5924,f4444])). 22.51/3.16 tff(f5924,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_2 | ~spl30_82)), 22.51/3.16 inference(superposition,[],[f1455,f4156])). 22.51/3.16 tff(f1455,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_2), 22.51/3.16 inference(avatar_component_clause,[],[f578])). 22.51/3.16 tff(f6039,plain,( 22.51/3.16 spl30_492 | ~spl30_81 | ~spl30_82 | ~spl30_130), 22.51/3.16 inference(avatar_split_clause,[],[f6035,f1450,f1077,f1074,f6037])). 22.51/3.16 tff(f6037,plain,( 22.51/3.16 spl30_492 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_492])])). 22.51/3.16 tff(f1450,plain,( 22.51/3.16 spl30_130 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 22.51/3.16 tff(f6035,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_81 | ~spl30_82 | ~spl30_130)), 22.51/3.16 inference(forward_demodulation,[],[f5923,f4444])). 22.51/3.16 tff(f5923,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_82 | ~spl30_130)), 22.51/3.16 inference(superposition,[],[f1451,f4156])). 22.51/3.16 tff(f1451,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_130), 22.51/3.16 inference(avatar_component_clause,[],[f1450])). 22.51/3.16 tff(f6024,plain,( 22.51/3.16 spl30_491 | ~spl30_81 | ~spl30_82 | ~spl30_107), 22.51/3.16 inference(avatar_split_clause,[],[f6020,f1252,f1077,f1074,f6022])). 22.51/3.16 tff(f6022,plain,( 22.51/3.16 spl30_491 <=> 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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_491])])). 22.51/3.16 tff(f1252,plain,( 22.51/3.16 spl30_107 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 22.51/3.16 tff(f6020,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) | (~spl30_81 | ~spl30_82 | ~spl30_107)), 22.51/3.16 inference(forward_demodulation,[],[f5921,f4444])). 22.51/3.16 tff(f5921,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | (~spl30_82 | ~spl30_107)), 22.51/3.16 inference(superposition,[],[f1253,f4156])). 22.51/3.16 tff(f1253,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = 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_107), 22.51/3.16 inference(avatar_component_clause,[],[f1252])). 22.51/3.16 tff(f6019,plain,( 22.51/3.16 ~spl30_490 | ~spl30_81 | ~spl30_82 | spl30_106), 22.51/3.16 inference(avatar_split_clause,[],[f6015,f1246,f1077,f1074,f6017])). 22.51/3.16 tff(f6017,plain,( 22.51/3.16 spl30_490 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_490])])). 22.51/3.16 tff(f1246,plain,( 22.51/3.16 spl30_106 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 22.51/3.16 tff(f6015,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_106)), 22.51/3.16 inference(forward_demodulation,[],[f5920,f4444])). 22.51/3.16 tff(f5920,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | (~spl30_82 | spl30_106)), 22.51/3.16 inference(superposition,[],[f1247,f4156])). 22.51/3.16 tff(f1247,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_106), 22.51/3.16 inference(avatar_component_clause,[],[f1246])). 22.51/3.16 tff(f6014,plain,( 22.51/3.16 ~spl30_489 | ~spl30_81 | ~spl30_82 | spl30_105), 22.51/3.16 inference(avatar_split_clause,[],[f6010,f1240,f1077,f1074,f6012])). 22.51/3.16 tff(f6012,plain,( 22.51/3.16 spl30_489 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_489])])). 22.51/3.16 tff(f1240,plain,( 22.51/3.16 spl30_105 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 22.51/3.16 tff(f6010,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_105)), 22.51/3.16 inference(forward_demodulation,[],[f5919,f4444])). 22.51/3.16 tff(f5919,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | (~spl30_82 | spl30_105)), 22.51/3.16 inference(superposition,[],[f1241,f4156])). 22.51/3.16 tff(f1241,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_105), 22.51/3.16 inference(avatar_component_clause,[],[f1240])). 22.51/3.16 tff(f6009,plain,( 22.51/3.16 ~spl30_488 | ~spl30_81 | ~spl30_82 | spl30_104), 22.51/3.16 inference(avatar_split_clause,[],[f6005,f1234,f1077,f1074,f6007])). 22.51/3.16 tff(f6007,plain,( 22.51/3.16 spl30_488 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_488])])). 22.51/3.16 tff(f1234,plain,( 22.51/3.16 spl30_104 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 22.51/3.16 tff(f6005,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_104)), 22.51/3.16 inference(forward_demodulation,[],[f5918,f4444])). 22.51/3.16 tff(f5918,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | (~spl30_82 | spl30_104)), 22.51/3.16 inference(superposition,[],[f1235,f4156])). 22.51/3.16 tff(f1235,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_104), 22.51/3.16 inference(avatar_component_clause,[],[f1234])). 22.51/3.16 tff(f6004,plain,( 22.51/3.16 ~spl30_487 | ~spl30_81 | ~spl30_82 | spl30_102), 22.51/3.16 inference(avatar_split_clause,[],[f6000,f1222,f1077,f1074,f6002])). 22.51/3.16 tff(f6002,plain,( 22.51/3.16 spl30_487 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_487])])). 22.51/3.16 tff(f1222,plain,( 22.51/3.16 spl30_102 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 22.51/3.16 tff(f6000,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | spl30_102)), 22.51/3.16 inference(forward_demodulation,[],[f5917,f4444])). 22.51/3.16 tff(f5917,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_82 | spl30_102)), 22.51/3.16 inference(superposition,[],[f1223,f4156])). 22.51/3.16 tff(f1223,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_102), 22.51/3.16 inference(avatar_component_clause,[],[f1222])). 22.51/3.16 tff(f5999,plain,( 22.51/3.16 spl30_486 | ~spl30_81 | ~spl30_82 | ~spl30_101), 22.51/3.16 inference(avatar_split_clause,[],[f5995,f1218,f1077,f1074,f5997])). 22.51/3.16 tff(f5997,plain,( 22.51/3.16 spl30_486 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_486])])). 22.51/3.16 tff(f1218,plain,( 22.51/3.16 spl30_101 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_101])])). 22.51/3.16 tff(f5995,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_82 | ~spl30_101)), 22.51/3.16 inference(forward_demodulation,[],[f5916,f4444])). 22.51/3.16 tff(f5916,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_82 | ~spl30_101)), 22.51/3.16 inference(superposition,[],[f1219,f4156])). 22.51/3.16 tff(f1219,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_101), 22.51/3.16 inference(avatar_component_clause,[],[f1218])). 22.51/3.16 tff(f5994,plain,( 22.51/3.16 ~spl30_485 | ~spl30_81 | ~spl30_82 | spl30_100), 22.51/3.16 inference(avatar_split_clause,[],[f5990,f1214,f1077,f1074,f5992])). 22.51/3.16 tff(f5992,plain,( 22.51/3.16 spl30_485 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_485])])). 22.51/3.16 tff(f1214,plain,( 22.51/3.16 spl30_100 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 22.51/3.16 tff(f5990,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_81 | ~spl30_82 | spl30_100)), 22.51/3.16 inference(forward_demodulation,[],[f5915,f4444])). 22.51/3.16 tff(f5915,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_82 | spl30_100)), 22.51/3.16 inference(superposition,[],[f1215,f4156])). 22.51/3.16 tff(f1215,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_100), 22.51/3.16 inference(avatar_component_clause,[],[f1214])). 22.51/3.16 tff(f5989,plain,( 22.51/3.16 spl30_484 | ~spl30_81 | ~spl30_82 | ~spl30_99), 22.51/3.16 inference(avatar_split_clause,[],[f5985,f1210,f1077,f1074,f5987])). 22.51/3.16 tff(f5987,plain,( 22.51/3.16 spl30_484 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_484])])). 22.51/3.16 tff(f1210,plain,( 22.51/3.16 spl30_99 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_99])])). 22.51/3.16 tff(f5985,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_82 | ~spl30_99)), 22.51/3.16 inference(forward_demodulation,[],[f5914,f4444])). 22.51/3.16 tff(f5914,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_82 | ~spl30_99)), 22.51/3.16 inference(superposition,[],[f1211,f4156])). 22.51/3.16 tff(f1211,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_99), 22.51/3.16 inference(avatar_component_clause,[],[f1210])). 22.51/3.16 tff(f5984,plain,( 22.51/3.16 ~spl30_483 | ~spl30_81 | ~spl30_82 | spl30_98), 22.51/3.16 inference(avatar_split_clause,[],[f5980,f1206,f1077,f1074,f5982])). 22.51/3.16 tff(f5982,plain,( 22.51/3.16 spl30_483 <=> 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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_483])])). 22.51/3.16 tff(f1206,plain,( 22.51/3.16 spl30_98 <=> 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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 22.51/3.16 tff(f5980,plain,( 22.51/3.16 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_98)), 22.51/3.16 inference(forward_demodulation,[],[f5913,f4444])). 22.51/3.16 tff(f5913,plain,( 22.51/3.16 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_82 | spl30_98)), 22.51/3.16 inference(superposition,[],[f1207,f4156])). 22.51/3.16 tff(f1207,plain,( 22.51/3.16 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_98), 22.51/3.16 inference(avatar_component_clause,[],[f1206])). 22.51/3.16 tff(f5979,plain,( 22.51/3.16 ~spl30_482 | ~spl30_81 | ~spl30_82 | spl30_85), 22.51/3.16 inference(avatar_split_clause,[],[f5975,f1103,f1077,f1074,f5977])). 22.51/3.16 tff(f5977,plain,( 22.51/3.16 spl30_482 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK17(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_482])])). 22.51/3.16 tff(f1103,plain,( 22.51/3.16 spl30_85 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_85])])). 22.51/3.16 tff(f5975,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK17(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))) | (~spl30_81 | ~spl30_82 | spl30_85)), 22.51/3.16 inference(forward_demodulation,[],[f5912,f4444])). 22.51/3.16 tff(f5912,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK17(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | (~spl30_82 | spl30_85)), 22.51/3.16 inference(superposition,[],[f1104,f4156])). 22.51/3.16 tff(f1104,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | spl30_85), 22.51/3.16 inference(avatar_component_clause,[],[f1103])). 22.51/3.16 tff(f5974,plain,( 22.51/3.16 spl30_481 | ~spl30_81 | ~spl30_82 | ~spl30_83), 22.51/3.16 inference(avatar_split_clause,[],[f5970,f1085,f1077,f1074,f5972])). 22.51/3.16 tff(f5972,plain,( 22.51/3.16 spl30_481 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_481])])). 22.51/3.16 tff(f1085,plain,( 22.51/3.16 spl30_83 <=> $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_83])])). 22.51/3.16 tff(f5970,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_81 | ~spl30_82 | ~spl30_83)), 22.51/3.16 inference(forward_demodulation,[],[f5911,f4444])). 22.51/3.16 tff(f5911,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_82 | ~spl30_83)), 22.51/3.16 inference(superposition,[],[f1086,f4156])). 22.51/3.16 tff(f1086,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_83), 22.51/3.16 inference(avatar_component_clause,[],[f1085])). 22.51/3.16 tff(f5957,plain,( 22.51/3.16 ~spl30_480 | spl30_3 | ~spl30_81 | ~spl30_82), 22.51/3.16 inference(avatar_split_clause,[],[f5953,f1077,f1074,f581,f5955])). 22.51/3.16 tff(f5955,plain,( 22.51/3.16 spl30_480 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_480])])). 22.51/3.16 tff(f5953,plain,( 22.51/3.16 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (spl30_3 | ~spl30_81 | ~spl30_82)), 22.51/3.16 inference(forward_demodulation,[],[f5901,f4444])). 22.51/3.16 tff(f5901,plain,( 22.51/3.16 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (spl30_3 | ~spl30_82)), 22.51/3.16 inference(superposition,[],[f582,f4156])). 22.51/3.16 tff(f5371,plain,( 22.51/3.16 ~spl30_401 | spl30_479 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5362,f4094,f5369,f4094])). 22.51/3.16 tff(f5369,plain,( 22.51/3.16 spl30_479 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~included1(X11,X10) | $less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~valid_values1(X10))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_479])])). 22.51/3.16 tff(f5362,plain,( 22.51/3.16 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~valid_values1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | ~included1(X11,X10)) ) | ~spl30_401), 22.51/3.16 inference(superposition,[],[f4102,f391])). 22.51/3.16 tff(f391,plain,( 22.51/3.16 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1) | ~included1(X0,X1)) )), 22.51/3.16 inference(cnf_transformation,[],[f197])). 22.51/3.16 tff(f4102,plain,( 22.51/3.16 ( ! [X3:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X3),t2tb1(9))),0) | ~valid_values1(X3)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4095,f362])). 22.51/3.16 tff(f362,plain,( 22.51/3.16 ( ! [X0:map_int_int,X1:$int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) | ~is_index1(X1) | ~valid_values1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f179])). 22.51/3.16 tff(f179,plain,( 22.51/3.16 ! [X0 : map_int_int] : ((! [X1 : $int] : ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1))))) | ~is_index1(X1)) | ~valid_values1(X0)) & (valid_values1(X0) | (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))))) & is_index1(sK16(X0)))))), 22.51/3.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f177,f178])). 22.51/3.16 tff(f178,plain,( 22.51/3.16 ! [X0 : map_int_int] : (? [X2 : $int] : (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2))))) & is_index1(X2)) => (($less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))),0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK16(X0)))))) & is_index1(sK16(X0))))), 22.51/3.16 introduced(choice_axiom,[])). 22.51/3.16 tff(f177,plain,( 22.51/3.16 ! [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)) | ~valid_values1(X0)) & (valid_values1(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))))), 22.51/3.16 inference(rectify,[],[f176])). 22.51/3.16 tff(f176,plain,( 22.51/3.16 ! [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)) | ~valid_values1(X0)) & (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))))), 22.51/3.16 inference(nnf_transformation,[],[f133])). 22.51/3.16 tff(f133,plain,( 22.51/3.16 ! [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)) <=> valid_values1(X0))), 22.51/3.16 inference(ennf_transformation,[],[f92])). 22.51/3.16 tff(f92,plain,( 22.51/3.16 ! [X0 : map_int_int] : (! [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)))))) <=> valid_values1(X0))), 22.51/3.16 inference(rectify,[],[f66])). 22.51/3.16 tff(f66,plain,( 22.51/3.16 ! [X1 : map_int_int] : (! [X2 : $int] : (is_index1(X2) => (~$less(tb2t1(get(int,int,t2tb(X1),t2tb1(X2))),0) & ~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))))) <=> valid_values1(X1))), 22.51/3.16 inference(theory_normalization,[],[f53])). 22.51/3.16 tff(f53,axiom,( 22.51/3.16 ! [X1 : map_int_int] : (! [X2 : $int] : (is_index1(X2) => ($lesseq(0,tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1(X2))),9))) <=> valid_values1(X1))), 22.51/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_values_def)). 22.51/3.16 tff(f5367,plain,( 22.51/3.16 ~spl30_401 | spl30_478 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5361,f4094,f5365,f4094])). 22.51/3.16 tff(f5365,plain,( 22.51/3.16 spl30_478 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~valid_values1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_478])])). 22.51/3.16 tff(f5361,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~valid_values1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | ~included1(X8,X9)) ) | ~spl30_401), 22.51/3.16 inference(superposition,[],[f4102,f391])). 22.51/3.16 tff(f5342,plain,( 22.51/3.16 ~spl30_401 | spl30_477 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5333,f4094,f5340,f4094])). 22.51/3.16 tff(f5340,plain,( 22.51/3.16 spl30_477 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~valid_values1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_477])])). 22.51/3.16 tff(f5333,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~valid_values1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | ~included1(X8,X9)) ) | ~spl30_401), 22.51/3.16 inference(superposition,[],[f4101,f391])). 22.51/3.16 tff(f4101,plain,( 22.51/3.16 ( ! [X2:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X2),t2tb1(9)))) | ~valid_values1(X2)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4095,f361])). 22.51/3.16 tff(f361,plain,( 22.51/3.16 ( ! [X0:map_int_int,X1:$int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) | ~is_index1(X1) | ~valid_values1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f179])). 22.51/3.16 tff(f5338,plain,( 22.51/3.16 ~spl30_401 | spl30_476 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5327,f4094,f5336,f4094])). 22.51/3.16 tff(f5336,plain,( 22.51/3.16 spl30_476 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_476])])). 22.51/3.16 tff(f5327,plain,( 22.51/3.16 ( ! [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_401), 22.51/3.16 inference(resolution,[],[f4101,f391])). 22.51/3.16 tff(f5229,plain,( 22.51/3.16 spl30_475 | ~spl30_93 | ~spl30_94 | ~spl30_128), 22.51/3.16 inference(avatar_split_clause,[],[f5225,f1438,f1165,f1162,f5227])). 22.51/3.16 tff(f5227,plain,( 22.51/3.16 spl30_475 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_475])])). 22.51/3.16 tff(f1438,plain,( 22.51/3.16 spl30_128 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 22.51/3.16 tff(f5225,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_93 | ~spl30_94 | ~spl30_128)), 22.51/3.16 inference(forward_demodulation,[],[f5108,f4142])). 22.51/3.16 tff(f5108,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_94 | ~spl30_128)), 22.51/3.16 inference(superposition,[],[f1439,f4129])). 22.51/3.16 tff(f1439,plain,( 22.51/3.16 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_128), 22.51/3.16 inference(avatar_component_clause,[],[f1438])). 22.51/3.16 tff(f5224,plain,( 22.51/3.16 spl30_474 | ~spl30_7 | ~spl30_93 | ~spl30_94), 22.51/3.16 inference(avatar_split_clause,[],[f5220,f1165,f1162,f593,f5222])). 22.51/3.16 tff(f593,plain,( 22.51/3.16 spl30_7 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 22.51/3.16 tff(f5220,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_7 | ~spl30_93 | ~spl30_94)), 22.51/3.16 inference(forward_demodulation,[],[f5107,f4142])). 22.51/3.16 tff(f5107,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_7 | ~spl30_94)), 22.51/3.16 inference(superposition,[],[f1433,f4129])). 22.51/3.16 tff(f1433,plain,( 22.51/3.16 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_7), 22.51/3.16 inference(avatar_component_clause,[],[f593])). 22.51/3.16 tff(f5209,plain,( 22.51/3.16 spl30_473 | ~spl30_93 | ~spl30_94 | ~spl30_117), 22.51/3.16 inference(avatar_split_clause,[],[f5205,f1313,f1165,f1162,f5207])). 22.51/3.16 tff(f5207,plain,( 22.51/3.16 spl30_473 <=> 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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_473])])). 22.51/3.16 tff(f1313,plain,( 22.51/3.16 spl30_117 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_117])])). 22.51/3.16 tff(f5205,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | (~spl30_93 | ~spl30_94 | ~spl30_117)), 22.51/3.16 inference(forward_demodulation,[],[f5105,f4142])). 22.51/3.16 tff(f5105,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | (~spl30_94 | ~spl30_117)), 22.51/3.16 inference(superposition,[],[f1314,f4129])). 22.51/3.16 tff(f1314,plain,( 22.51/3.16 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = 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_117), 22.51/3.16 inference(avatar_component_clause,[],[f1313])). 22.51/3.16 tff(f5204,plain,( 22.51/3.16 ~spl30_472 | ~spl30_93 | ~spl30_94 | spl30_116), 22.51/3.16 inference(avatar_split_clause,[],[f5200,f1307,f1165,f1162,f5202])). 22.51/3.16 tff(f5202,plain,( 22.51/3.16 spl30_472 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_472])])). 22.51/3.16 tff(f1307,plain,( 22.51/3.16 spl30_116 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 22.51/3.16 tff(f5200,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_93 | ~spl30_94 | spl30_116)), 22.51/3.16 inference(forward_demodulation,[],[f5104,f4142])). 22.51/3.16 tff(f5104,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_94 | spl30_116)), 22.51/3.16 inference(superposition,[],[f1308,f4129])). 22.51/3.16 tff(f1308,plain,( 22.51/3.16 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_116), 22.51/3.16 inference(avatar_component_clause,[],[f1307])). 22.51/3.16 tff(f5199,plain,( 22.51/3.16 ~spl30_471 | ~spl30_93 | ~spl30_94 | spl30_115), 22.51/3.16 inference(avatar_split_clause,[],[f5195,f1301,f1165,f1162,f5197])). 22.51/3.16 tff(f5197,plain,( 22.51/3.16 spl30_471 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_471])])). 22.51/3.16 tff(f1301,plain,( 22.51/3.16 spl30_115 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 22.51/3.16 tff(f5195,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_93 | ~spl30_94 | spl30_115)), 22.51/3.16 inference(forward_demodulation,[],[f5103,f4142])). 22.51/3.16 tff(f5103,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_94 | spl30_115)), 22.51/3.16 inference(superposition,[],[f1302,f4129])). 22.51/3.16 tff(f1302,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_115), 22.51/3.16 inference(avatar_component_clause,[],[f1301])). 22.51/3.16 tff(f5194,plain,( 22.51/3.16 ~spl30_470 | ~spl30_93 | ~spl30_94 | spl30_114), 22.51/3.16 inference(avatar_split_clause,[],[f5190,f1295,f1165,f1162,f5192])). 22.51/3.16 tff(f5192,plain,( 22.51/3.16 spl30_470 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_470])])). 22.51/3.16 tff(f1295,plain,( 22.51/3.16 spl30_114 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 22.51/3.16 tff(f5190,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_93 | ~spl30_94 | spl30_114)), 22.51/3.16 inference(forward_demodulation,[],[f5102,f4142])). 22.51/3.16 tff(f5102,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_94 | spl30_114)), 22.51/3.16 inference(superposition,[],[f1296,f4129])). 22.51/3.16 tff(f1296,plain,( 22.51/3.16 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_114), 22.51/3.16 inference(avatar_component_clause,[],[f1295])). 22.51/3.16 tff(f5189,plain,( 22.51/3.16 ~spl30_469 | ~spl30_93 | ~spl30_94 | spl30_112), 22.51/3.16 inference(avatar_split_clause,[],[f5185,f1283,f1165,f1162,f5187])). 22.51/3.16 tff(f5187,plain,( 22.51/3.16 spl30_469 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_469])])). 22.51/3.16 tff(f1283,plain,( 22.51/3.16 spl30_112 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 22.51/3.16 tff(f5185,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_93 | ~spl30_94 | spl30_112)), 22.51/3.16 inference(forward_demodulation,[],[f5101,f4142])). 22.51/3.16 tff(f5101,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_94 | spl30_112)), 22.51/3.16 inference(superposition,[],[f1284,f4129])). 22.51/3.16 tff(f1284,plain,( 22.51/3.16 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_112), 22.51/3.16 inference(avatar_component_clause,[],[f1283])). 22.51/3.16 tff(f5184,plain,( 22.51/3.16 spl30_468 | ~spl30_93 | ~spl30_94 | ~spl30_111), 22.51/3.16 inference(avatar_split_clause,[],[f5180,f1279,f1165,f1162,f5182])). 22.51/3.16 tff(f5182,plain,( 22.51/3.16 spl30_468 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_468])])). 22.51/3.16 tff(f1279,plain,( 22.51/3.16 spl30_111 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 22.51/3.16 tff(f5180,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_93 | ~spl30_94 | ~spl30_111)), 22.51/3.16 inference(forward_demodulation,[],[f5100,f4142])). 22.51/3.16 tff(f5100,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_94 | ~spl30_111)), 22.51/3.16 inference(superposition,[],[f1280,f4129])). 22.51/3.16 tff(f1280,plain,( 22.51/3.16 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_111), 22.51/3.16 inference(avatar_component_clause,[],[f1279])). 22.51/3.16 tff(f5179,plain,( 22.51/3.16 ~spl30_467 | ~spl30_93 | ~spl30_94 | spl30_110), 22.51/3.16 inference(avatar_split_clause,[],[f5175,f1275,f1165,f1162,f5177])). 22.51/3.16 tff(f5177,plain,( 22.51/3.16 spl30_467 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_467])])). 22.51/3.16 tff(f1275,plain,( 22.51/3.16 spl30_110 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 22.51/3.16 tff(f5175,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_93 | ~spl30_94 | spl30_110)), 22.51/3.16 inference(forward_demodulation,[],[f5099,f4142])). 22.51/3.16 tff(f5099,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_94 | spl30_110)), 22.51/3.16 inference(superposition,[],[f1276,f4129])). 22.51/3.16 tff(f1276,plain,( 22.51/3.16 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_110), 22.51/3.16 inference(avatar_component_clause,[],[f1275])). 22.51/3.16 tff(f5174,plain,( 22.51/3.16 spl30_466 | ~spl30_93 | ~spl30_94 | ~spl30_109), 22.51/3.16 inference(avatar_split_clause,[],[f5170,f1271,f1165,f1162,f5172])). 22.51/3.16 tff(f5172,plain,( 22.51/3.16 spl30_466 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_466])])). 22.51/3.16 tff(f1271,plain,( 22.51/3.16 spl30_109 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 22.51/3.16 tff(f5170,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_93 | ~spl30_94 | ~spl30_109)), 22.51/3.16 inference(forward_demodulation,[],[f5098,f4142])). 22.51/3.16 tff(f5098,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_94 | ~spl30_109)), 22.51/3.16 inference(superposition,[],[f1272,f4129])). 22.51/3.16 tff(f1272,plain,( 22.51/3.16 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_109), 22.51/3.16 inference(avatar_component_clause,[],[f1271])). 22.51/3.16 tff(f5169,plain,( 22.51/3.16 ~spl30_465 | ~spl30_93 | ~spl30_94 | spl30_108), 22.51/3.16 inference(avatar_split_clause,[],[f5165,f1267,f1165,f1162,f5167])). 22.51/3.16 tff(f5167,plain,( 22.51/3.16 spl30_465 <=> 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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_465])])). 22.51/3.16 tff(f1267,plain,( 22.51/3.16 spl30_108 <=> 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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_108])])). 22.51/3.16 tff(f5165,plain,( 22.51/3.16 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_93 | ~spl30_94 | spl30_108)), 22.51/3.16 inference(forward_demodulation,[],[f5097,f4142])). 22.51/3.16 tff(f5097,plain,( 22.51/3.16 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_94 | spl30_108)), 22.51/3.16 inference(superposition,[],[f1268,f4129])). 22.51/3.16 tff(f1268,plain,( 22.51/3.16 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_108), 22.51/3.16 inference(avatar_component_clause,[],[f1267])). 22.51/3.16 tff(f5164,plain,( 22.51/3.16 ~spl30_464 | ~spl30_93 | ~spl30_94 | spl30_97), 22.51/3.16 inference(avatar_split_clause,[],[f5160,f1191,f1165,f1162,f5162])). 22.51/3.16 tff(f5162,plain,( 22.51/3.16 spl30_464 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK17(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_464])])). 22.51/3.16 tff(f1191,plain,( 22.51/3.16 spl30_97 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_97])])). 22.51/3.16 tff(f5160,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK17(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | (~spl30_93 | ~spl30_94 | spl30_97)), 22.51/3.16 inference(forward_demodulation,[],[f5096,f4142])). 22.51/3.16 tff(f5096,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK17(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | (~spl30_94 | spl30_97)), 22.51/3.16 inference(superposition,[],[f1192,f4129])). 22.51/3.16 tff(f1192,plain,( 22.51/3.16 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | spl30_97), 22.51/3.16 inference(avatar_component_clause,[],[f1191])). 22.51/3.16 tff(f5159,plain,( 22.51/3.16 spl30_463 | ~spl30_93 | ~spl30_94 | ~spl30_95), 22.51/3.16 inference(avatar_split_clause,[],[f5155,f1173,f1165,f1162,f5157])). 22.51/3.16 tff(f5157,plain,( 22.51/3.16 spl30_463 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_463])])). 22.51/3.16 tff(f1173,plain,( 22.51/3.16 spl30_95 <=> $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 22.51/3.16 tff(f5155,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_93 | ~spl30_94 | ~spl30_95)), 22.51/3.16 inference(forward_demodulation,[],[f5095,f4142])). 22.51/3.16 tff(f5095,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_94 | ~spl30_95)), 22.51/3.16 inference(superposition,[],[f1174,f4129])). 22.51/3.16 tff(f1174,plain,( 22.51/3.16 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_95), 22.51/3.16 inference(avatar_component_clause,[],[f1173])). 22.51/3.16 tff(f5139,plain,( 22.51/3.16 ~spl30_462 | spl30_6 | ~spl30_93 | ~spl30_94), 22.51/3.16 inference(avatar_split_clause,[],[f5135,f1165,f1162,f590,f5137])). 22.51/3.16 tff(f5135,plain,( 22.51/3.16 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (spl30_6 | ~spl30_93 | ~spl30_94)), 22.51/3.16 inference(forward_demodulation,[],[f5085,f4142])). 22.51/3.16 tff(f5085,plain,( 22.51/3.16 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (spl30_6 | ~spl30_94)), 22.51/3.16 inference(superposition,[],[f591,f4129])). 22.51/3.16 tff(f5084,plain,( 22.51/3.16 ~spl30_401 | spl30_461 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5075,f4094,f5082,f4094])). 22.51/3.16 tff(f5082,plain,( 22.51/3.16 spl30_461 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~full1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_461])])). 22.51/3.16 tff(f5075,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~full1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | ~included1(X8,X9)) ) | ~spl30_401), 22.51/3.16 inference(superposition,[],[f4098,f391])). 22.51/3.16 tff(f4098,plain,( 22.51/3.16 ( ! [X1:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(9)))) | ~full1(X1)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4095,f346])). 22.51/3.16 tff(f346,plain,( 22.51/3.16 ( ! [X2:$int,X0:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | ~is_index1(X2) | ~full1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f171])). 22.51/3.16 tff(f171,plain,( 22.51/3.16 ! [X0 : map_int_int] : ((full1(X0) | (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))),1)) & is_index1(sK15(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)) | ~full1(X0)))), 22.51/3.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f169,f170])). 22.51/3.16 tff(f170,plain,( 22.51/3.16 ! [X0 : map_int_int] : (? [X1 : $int] : (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),1)) & is_index1(X1)) => (($less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))),1)) & is_index1(sK15(X0))))), 22.51/3.16 introduced(choice_axiom,[])). 22.51/3.16 tff(f169,plain,( 22.51/3.16 ! [X0 : map_int_int] : ((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))) & (! [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)) | ~full1(X0)))), 22.51/3.16 inference(rectify,[],[f168])). 22.51/3.16 tff(f168,plain,( 22.51/3.16 ! [X0 : map_int_int] : ((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))) & (! [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)))), 22.51/3.16 inference(nnf_transformation,[],[f132])). 22.51/3.16 tff(f132,plain,( 22.51/3.16 ! [X0 : map_int_int] : (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)))), 22.51/3.16 inference(ennf_transformation,[],[f90])). 22.51/3.16 tff(f90,plain,( 22.51/3.16 ! [X0 : map_int_int] : (full1(X0) <=> ! [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))))), 22.51/3.16 inference(rectify,[],[f64])). 22.51/3.16 tff(f64,plain,( 22.51/3.16 ! [X1 : map_int_int] : (full1(X1) <=> ! [X2 : $int] : (is_index1(X2) => (~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X1),t2tb1(X2))),1))))), 22.51/3.16 inference(theory_normalization,[],[f58])). 22.51/3.16 tff(f58,axiom,( 22.51/3.16 ! [X1 : map_int_int] : (full1(X1) <=> ! [X2 : $int] : (is_index1(X2) => ($lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1(X2))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))))))), 22.51/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full_def)). 22.51/3.16 tff(f5080,plain,( 22.51/3.16 ~spl30_401 | spl30_460 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5069,f4094,f5078,f4094])). 22.51/3.16 tff(f5078,plain,( 22.51/3.16 spl30_460 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_460])])). 22.51/3.16 tff(f5069,plain,( 22.51/3.16 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~included1(X0,X1)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4098,f391])). 22.51/3.16 tff(f5068,plain,( 22.51/3.16 ~spl30_401 | spl30_459 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5058,f4094,f5066,f4094])). 22.51/3.16 tff(f5066,plain,( 22.51/3.16 spl30_459 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | ~full1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_459])])). 22.51/3.16 tff(f5058,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | ~full1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(9))),1) | ~included1(X8,X9)) ) | ~spl30_401), 22.51/3.16 inference(superposition,[],[f4097,f391])). 22.51/3.16 tff(f4097,plain,( 22.51/3.16 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~full1(X0)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4095,f345])). 22.51/3.16 tff(f345,plain,( 22.51/3.16 ( ! [X2:$int,X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1) | ~is_index1(X2) | ~full1(X0)) )), 22.51/3.16 inference(cnf_transformation,[],[f171])). 22.51/3.16 tff(f5063,plain,( 22.51/3.16 ~spl30_401 | spl30_458 | ~spl30_401), 22.51/3.16 inference(avatar_split_clause,[],[f5052,f4094,f5061,f4094])). 22.51/3.16 tff(f5061,plain,( 22.51/3.16 spl30_458 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_458])])). 22.51/3.16 tff(f5052,plain,( 22.51/3.16 ( ! [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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(9)))) | ~included1(X0,X1)) ) | ~spl30_401), 22.51/3.16 inference(resolution,[],[f4097,f391])). 22.51/3.16 tff(f5051,plain,( 22.51/3.16 ~spl30_10 | spl30_457 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f5042,f602,f5049,f602])). 22.51/3.16 tff(f5049,plain,( 22.51/3.16 spl30_457 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~included1(X11,X10) | $less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~valid_values1(X10))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_457])])). 22.51/3.16 tff(f5042,plain,( 22.51/3.16 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~valid_values1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | ~included1(X11,X10)) ) | ~spl30_10), 22.51/3.16 inference(superposition,[],[f2922,f391])). 22.51/3.16 tff(f2922,plain,( 22.51/3.16 ( ! [X3:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X3),t2tb1(sK14))),0) | ~valid_values1(X3)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2768,f362])). 22.51/3.16 tff(f5047,plain,( 22.51/3.16 ~spl30_10 | spl30_456 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f5041,f602,f5045,f602])). 22.51/3.16 tff(f5045,plain,( 22.51/3.16 spl30_456 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~valid_values1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_456])])). 22.51/3.16 tff(f5041,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~valid_values1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | ~included1(X8,X9)) ) | ~spl30_10), 22.51/3.16 inference(superposition,[],[f2922,f391])). 22.51/3.16 tff(f5022,plain,( 22.51/3.16 ~spl30_10 | spl30_455 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f5013,f602,f5020,f602])). 22.51/3.16 tff(f5020,plain,( 22.51/3.16 spl30_455 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~valid_values1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_455])])). 22.51/3.16 tff(f5013,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~valid_values1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | ~included1(X8,X9)) ) | ~spl30_10), 22.51/3.16 inference(superposition,[],[f2921,f391])). 22.51/3.16 tff(f2921,plain,( 22.51/3.16 ( ! [X2:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X2),t2tb1(sK14)))) | ~valid_values1(X2)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2768,f361])). 22.51/3.16 tff(f5018,plain,( 22.51/3.16 ~spl30_10 | spl30_454 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f5007,f602,f5016,f602])). 22.51/3.16 tff(f5016,plain,( 22.51/3.16 spl30_454 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_454])])). 22.51/3.16 tff(f5007,plain,( 22.51/3.16 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2921,f391])). 22.51/3.16 tff(f5006,plain,( 22.51/3.16 ~spl30_10 | spl30_453 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f4997,f602,f5004,f602])). 22.51/3.16 tff(f5004,plain,( 22.51/3.16 spl30_453 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~full1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_453])])). 22.51/3.16 tff(f4997,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~full1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | ~included1(X8,X9)) ) | ~spl30_10), 22.51/3.16 inference(superposition,[],[f2918,f391])). 22.51/3.16 tff(f2918,plain,( 22.51/3.16 ( ! [X1:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(sK14)))) | ~full1(X1)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2768,f346])). 22.51/3.16 tff(f5002,plain,( 22.51/3.16 ~spl30_10 | spl30_452 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f4991,f602,f5000,f602])). 22.51/3.16 tff(f5000,plain,( 22.51/3.16 spl30_452 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_452])])). 22.51/3.16 tff(f4991,plain,( 22.51/3.16 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2918,f391])). 22.51/3.16 tff(f4990,plain,( 22.51/3.16 ~spl30_10 | spl30_451 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f4980,f602,f4988,f602])). 22.51/3.16 tff(f4988,plain,( 22.51/3.16 spl30_451 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | ~full1(X8) | ~included1(X8,X9) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_451])])). 22.51/3.16 tff(f4980,plain,( 22.51/3.16 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | ~full1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X8),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X8),t2tb1(sK14))),1) | ~included1(X8,X9)) ) | ~spl30_10), 22.51/3.16 inference(superposition,[],[f2917,f391])). 22.51/3.16 tff(f2917,plain,( 22.51/3.16 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~full1(X0)) ) | ~spl30_10), 22.51/3.16 inference(resolution,[],[f2768,f345])). 22.51/3.16 tff(f4985,plain,( 22.51/3.16 ~spl30_10 | spl30_450 | ~spl30_10), 22.51/3.16 inference(avatar_split_clause,[],[f4974,f602,f4983,f602])). 22.51/3.16 tff(f4983,plain,( 22.51/3.16 spl30_450 <=> ! [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))))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_450])])). 22.51/3.16 tff(f4974,plain,( 22.51/3.16 ( ! [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_10), 22.51/3.16 inference(resolution,[],[f2917,f391])). 22.51/3.16 tff(f4913,plain,( 22.51/3.16 ~spl30_449 | ~spl30_87 | spl30_298), 22.51/3.16 inference(avatar_split_clause,[],[f4717,f2876,f1118,f4911])). 22.51/3.16 tff(f4911,plain,( 22.51/3.16 spl30_449 <=> $less(9,sK14)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_449])])). 22.51/3.16 tff(f2876,plain,( 22.51/3.16 spl30_298 <=> $less(sK6,sK14)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_298])])). 22.51/3.16 tff(f4717,plain,( 22.51/3.16 ~$less(9,sK14) | (~spl30_87 | spl30_298)), 22.51/3.16 inference(superposition,[],[f2877,f4083])). 22.51/3.16 tff(f2877,plain,( 22.51/3.16 ~$less(sK6,sK14) | spl30_298), 22.51/3.16 inference(avatar_component_clause,[],[f2876])). 22.51/3.16 tff(f4894,plain,( 22.51/3.16 ~spl30_448 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160), 22.51/3.16 inference(avatar_split_clause,[],[f4890,f1609,f1165,f1162,f1121,f1118,f1077,f1074,f4892])). 22.51/3.16 tff(f4892,plain,( 22.51/3.16 spl30_448 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_448])])). 22.51/3.16 tff(f1609,plain,( 22.51/3.16 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,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_160])])). 22.51/3.16 tff(f4890,plain,( 22.51/3.16 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.51/3.16 inference(forward_demodulation,[],[f4889,f4156])). 22.51/3.16 tff(f4889,plain,( 22.51/3.16 ~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,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.51/3.16 inference(forward_demodulation,[],[f4888,f4444])). 22.51/3.16 tff(f4888,plain,( 22.51/3.16 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.51/3.16 inference(forward_demodulation,[],[f4887,f4070])). 22.51/3.16 tff(f4887,plain,( 22.51/3.16 ~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,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,sK2,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,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.51/3.16 inference(forward_demodulation,[],[f4886,f4129])). 22.51/3.16 tff(f4886,plain,( 22.51/3.16 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | spl30_160)), 22.51/3.16 inference(forward_demodulation,[],[f4711,f4142])). 22.51/3.16 tff(f4711,plain,( 22.51/3.16 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | spl30_160)), 22.51/3.16 inference(superposition,[],[f1610,f4083])). 22.51/3.16 tff(f1610,plain,( 22.51/3.16 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_160), 22.51/3.16 inference(avatar_component_clause,[],[f1609])). 22.51/3.16 tff(f4885,plain,( 22.51/3.16 ~spl30_447 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159), 22.51/3.16 inference(avatar_split_clause,[],[f4881,f1606,f1165,f1162,f1121,f1118,f1077,f1074,f4883])). 22.51/3.16 tff(f4883,plain,( 22.51/3.16 spl30_447 <=> 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,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_447])])). 22.51/3.16 tff(f1606,plain,( 22.51/3.16 spl30_159 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_159])])). 22.51/3.16 tff(f4881,plain,( 22.51/3.16 ~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,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.51/3.16 inference(forward_demodulation,[],[f4880,f4156])). 22.51/3.16 tff(f4880,plain,( 22.51/3.16 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.51/3.16 inference(forward_demodulation,[],[f4879,f4444])). 22.51/3.16 tff(f4879,plain,( 22.51/3.16 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.51/3.16 inference(forward_demodulation,[],[f4878,f4070])). 22.51/3.16 tff(f4878,plain,( 22.51/3.16 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.51/3.16 inference(forward_demodulation,[],[f4877,f4129])). 22.51/3.16 tff(f4877,plain,( 22.51/3.16 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | spl30_159)), 22.51/3.16 inference(forward_demodulation,[],[f4710,f4142])). 22.51/3.16 tff(f4710,plain,( 22.51/3.16 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | spl30_159)), 22.51/3.16 inference(superposition,[],[f1607,f4083])). 22.51/3.16 tff(f1607,plain,( 22.51/3.16 ~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,$sum(sK14,1))) | spl30_159), 22.51/3.16 inference(avatar_component_clause,[],[f1606])). 22.51/3.16 tff(f4876,plain,( 22.51/3.16 ~spl30_446 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158), 22.51/3.16 inference(avatar_split_clause,[],[f4872,f1603,f1165,f1162,f1121,f1118,f1077,f1074,f4874])). 22.51/3.16 tff(f4874,plain,( 22.51/3.16 spl30_446 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_446])])). 22.51/3.16 tff(f1603,plain,( 22.51/3.16 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,$sum(sK14,1)))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_158])])). 22.51/3.16 tff(f4872,plain,( 22.51/3.16 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.51/3.16 inference(forward_demodulation,[],[f4871,f4156])). 22.51/3.16 tff(f4871,plain,( 22.51/3.16 ~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,$sum(sK14,1))) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.51/3.16 inference(forward_demodulation,[],[f4870,f4444])). 22.51/3.16 tff(f4870,plain,( 22.51/3.16 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.51/3.16 inference(forward_demodulation,[],[f4869,f4070])). 22.51/3.16 tff(f4869,plain,( 22.51/3.16 ~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,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,sK2,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,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.51/3.16 inference(forward_demodulation,[],[f4868,f4129])). 22.51/3.16 tff(f4868,plain,( 22.51/3.16 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_93 | spl30_158)), 22.51/3.16 inference(forward_demodulation,[],[f4709,f4142])). 22.51/3.16 tff(f4709,plain,( 22.51/3.16 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | spl30_158)), 22.51/3.16 inference(superposition,[],[f1604,f4083])). 22.51/3.16 tff(f1604,plain,( 22.51/3.16 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | spl30_158), 22.51/3.16 inference(avatar_component_clause,[],[f1603])). 22.51/3.16 tff(f4867,plain,( 22.51/3.16 ~spl30_445 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157), 22.51/3.16 inference(avatar_split_clause,[],[f4863,f1599,f1165,f1162,f1121,f1118,f1077,f1074,f4865])). 22.51/3.16 tff(f4865,plain,( 22.51/3.16 spl30_445 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_445])])). 22.51/3.16 tff(f1599,plain,( 22.51/3.16 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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_157])])). 22.51/3.16 tff(f4863,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.51/3.16 inference(forward_demodulation,[],[f4862,f4156])). 22.51/3.16 tff(f4862,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.51/3.16 inference(forward_demodulation,[],[f4861,f4444])). 22.51/3.16 tff(f4861,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.51/3.16 inference(forward_demodulation,[],[f4860,f4070])). 22.51/3.16 tff(f4860,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_87 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.51/3.16 inference(forward_demodulation,[],[f4859,f4129])). 22.51/3.16 tff(f4859,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_87 | ~spl30_93 | spl30_157)), 22.51/3.16 inference(forward_demodulation,[],[f4708,f4142])). 22.51/3.16 tff(f4708,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_87 | spl30_157)), 22.51/3.16 inference(superposition,[],[f1600,f4083])). 22.51/3.16 tff(f1600,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | spl30_157), 22.51/3.16 inference(avatar_component_clause,[],[f1599])). 22.51/3.16 tff(f4858,plain,( 22.51/3.16 ~spl30_444 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142), 22.51/3.16 inference(avatar_split_clause,[],[f4854,f1512,f1165,f1162,f1121,f1118,f1077,f1074,f4856])). 22.51/3.16 tff(f4856,plain,( 22.51/3.16 spl30_444 <=> 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_444])])). 22.51/3.16 tff(f1512,plain,( 22.51/3.16 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 22.51/3.16 tff(f4854,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4853,f4156])). 22.51/3.16 tff(f4853,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4852,f4444])). 22.51/3.16 tff(f4852,plain,( 22.51/3.16 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.51/3.16 inference(forward_demodulation,[],[f4851,f4070])). 22.51/3.16 tff(f4851,plain,( 22.51/3.16 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.51/3.16 inference(forward_demodulation,[],[f4850,f4129])). 22.51/3.16 tff(f4850,plain,( 22.51/3.16 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_93 | spl30_142)), 22.51/3.16 inference(forward_demodulation,[],[f4707,f4142])). 22.51/3.16 tff(f4707,plain,( 22.51/3.16 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_87 | spl30_142)), 22.51/3.16 inference(superposition,[],[f1513,f4083])). 22.51/3.16 tff(f1513,plain,( 22.51/3.16 ~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), 22.51/3.16 inference(avatar_component_clause,[],[f1512])). 22.51/3.16 tff(f4849,plain,( 22.51/3.16 ~spl30_443 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141), 22.51/3.16 inference(avatar_split_clause,[],[f4845,f1509,f1165,f1162,f1121,f1118,f1077,f1074,f4847])). 22.51/3.16 tff(f4847,plain,( 22.51/3.16 spl30_443 <=> 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_443])])). 22.51/3.16 tff(f1509,plain,( 22.51/3.16 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 22.51/3.16 tff(f4845,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4844,f4156])). 22.51/3.16 tff(f4844,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4843,f4444])). 22.51/3.16 tff(f4843,plain,( 22.51/3.16 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.51/3.16 inference(forward_demodulation,[],[f4842,f4070])). 22.51/3.16 tff(f4842,plain,( 22.51/3.16 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.51/3.16 inference(forward_demodulation,[],[f4841,f4129])). 22.51/3.16 tff(f4841,plain,( 22.51/3.16 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_93 | spl30_141)), 22.51/3.16 inference(forward_demodulation,[],[f4706,f4142])). 22.51/3.16 tff(f4706,plain,( 22.51/3.16 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_87 | spl30_141)), 22.51/3.16 inference(superposition,[],[f1510,f4083])). 22.51/3.16 tff(f1510,plain,( 22.51/3.16 ~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), 22.51/3.16 inference(avatar_component_clause,[],[f1509])). 22.51/3.16 tff(f4840,plain,( 22.51/3.16 ~spl30_442 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140), 22.51/3.16 inference(avatar_split_clause,[],[f4836,f1506,f1165,f1162,f1121,f1118,f1077,f1074,f4838])). 22.51/3.16 tff(f4838,plain,( 22.51/3.16 spl30_442 <=> 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_442])])). 22.51/3.16 tff(f1506,plain,( 22.51/3.16 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))), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 22.51/3.16 tff(f4836,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4835,f4156])). 22.51/3.16 tff(f4835,plain,( 22.51/3.16 ~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)), 22.51/3.16 inference(forward_demodulation,[],[f4834,f4444])). 22.51/3.16 tff(f4834,plain,( 22.51/3.16 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.51/3.16 inference(forward_demodulation,[],[f4833,f4070])). 22.51/3.16 tff(f4833,plain,( 22.51/3.16 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.51/3.16 inference(forward_demodulation,[],[f4832,f4129])). 22.51/3.16 tff(f4832,plain,( 22.51/3.16 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0)) | (~spl30_87 | ~spl30_93 | spl30_140)), 22.51/3.16 inference(forward_demodulation,[],[f4705,f4142])). 22.51/3.16 tff(f4705,plain,( 22.51/3.16 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | (~spl30_87 | spl30_140)), 22.51/3.16 inference(superposition,[],[f1507,f4083])). 22.51/3.16 tff(f1507,plain,( 22.51/3.16 ~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), 22.51/3.16 inference(avatar_component_clause,[],[f1506])). 22.51/3.16 tff(f4831,plain,( 22.51/3.16 ~spl30_441 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139), 22.51/3.16 inference(avatar_split_clause,[],[f4827,f1500,f1165,f1162,f1121,f1118,f1077,f1074,f4829])). 22.51/3.16 tff(f4829,plain,( 22.51/3.16 spl30_441 <=> $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)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_441])])). 22.51/3.16 tff(f1500,plain,( 22.51/3.16 spl30_139 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0)), 22.51/3.16 introduced(avatar_definition,[new_symbols(naming,[spl30_139])])). 22.51/3.16 tff(f4827,plain,( 22.51/3.16 ~$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)), 22.51/3.16 inference(forward_demodulation,[],[f4826,f4156])). 22.51/3.16 tff(f4826,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.51/3.16 inference(forward_demodulation,[],[f4825,f4444])). 22.51/3.16 tff(f4825,plain,( 22.51/3.16 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.51/3.16 inference(forward_demodulation,[],[f4824,f4070])). 22.62/3.18 tff(f4824,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_87 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4823,f4129])). 22.62/3.18 tff(f4823,plain,( 22.62/3.18 ~$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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_87 | ~spl30_93 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4704,f4142])). 22.62/3.18 tff(f4704,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | (~spl30_87 | spl30_139)), 22.62/3.18 inference(superposition,[],[f1503,f4083])). 22.62/3.18 tff(f1503,plain,( 22.62/3.18 ~$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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | spl30_139), 22.62/3.18 inference(avatar_component_clause,[],[f1500])). 22.62/3.18 tff(f4797,plain,( 22.62/3.18 ~spl30_440 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135), 22.62/3.18 inference(avatar_split_clause,[],[f4793,f1477,f1165,f1162,f1121,f1118,f1077,f1074,f4795])). 22.62/3.18 tff(f4795,plain,( 22.62/3.18 spl30_440 <=> 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_440])])). 22.62/3.18 tff(f1477,plain,( 22.62/3.18 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 22.62/3.18 tff(f4793,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4792,f4156])). 22.62/3.18 tff(f4792,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4791,f4444])). 22.62/3.18 tff(f4791,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4790,f4070])). 22.62/3.18 tff(f4790,plain,( 22.62/3.18 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4789,f4129])). 22.62/3.18 tff(f4789,plain,( 22.62/3.18 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_93 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4698,f4142])). 22.62/3.18 tff(f4698,plain,( 22.62/3.18 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_87 | spl30_135)), 22.62/3.18 inference(superposition,[],[f1478,f4083])). 22.62/3.18 tff(f1478,plain,( 22.62/3.18 ~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,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), 22.62/3.18 inference(avatar_component_clause,[],[f1477])). 22.62/3.18 tff(f4788,plain,( 22.62/3.18 ~spl30_439 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f4784,f1474,f1165,f1162,f1121,f1118,f1077,f1074,f4786])). 22.62/3.18 tff(f4786,plain,( 22.62/3.18 spl30_439 <=> 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_439])])). 22.62/3.18 tff(f1474,plain,( 22.62/3.18 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 22.62/3.18 tff(f4784,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4783,f4156])). 22.62/3.18 tff(f4783,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4782,f4444])). 22.62/3.18 tff(f4782,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4781,f4070])). 22.62/3.18 tff(f4781,plain,( 22.62/3.18 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4780,f4129])). 22.62/3.18 tff(f4780,plain,( 22.62/3.18 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_93 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4697,f4142])). 22.62/3.18 tff(f4697,plain,( 22.62/3.18 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_87 | spl30_134)), 22.62/3.18 inference(superposition,[],[f1475,f4083])). 22.62/3.18 tff(f1475,plain,( 22.62/3.18 ~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,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), 22.62/3.18 inference(avatar_component_clause,[],[f1474])). 22.62/3.18 tff(f4779,plain,( 22.62/3.18 ~spl30_438 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f4775,f1471,f1165,f1162,f1121,f1118,f1077,f1074,f4777])). 22.62/3.18 tff(f4777,plain,( 22.62/3.18 spl30_438 <=> 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_438])])). 22.62/3.18 tff(f1471,plain,( 22.62/3.18 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_133])])). 22.62/3.18 tff(f4775,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4774,f4156])). 22.62/3.18 tff(f4774,plain,( 22.62/3.18 ~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)), 22.62/3.18 inference(forward_demodulation,[],[f4773,f4444])). 22.62/3.18 tff(f4773,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4772,f4070])). 22.62/3.18 tff(f4772,plain,( 22.62/3.18 ~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,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,sK2,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_87 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4771,f4129])). 22.62/3.18 tff(f4771,plain,( 22.62/3.18 ~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,9,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13)) | (~spl30_87 | ~spl30_93 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4696,f4142])). 22.62/3.18 tff(f4696,plain,( 22.62/3.18 ~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,9,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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13)) | (~spl30_87 | spl30_133)), 22.62/3.18 inference(superposition,[],[f1472,f4083])). 22.62/3.18 tff(f1472,plain,( 22.62/3.18 ~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,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), 22.62/3.18 inference(avatar_component_clause,[],[f1471])). 22.62/3.18 tff(f4746,plain,( 22.62/3.18 spl30_437 | ~spl30_22 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4742,f1165,f1162,f1121,f1118,f1077,f1074,f691,f4744])). 22.62/3.18 tff(f4744,plain,( 22.62/3.18 spl30_437 <=> 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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_437])])). 22.62/3.18 tff(f691,plain,( 22.62/3.18 spl30_22 <=> 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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 22.62/3.18 tff(f4742,plain,( 22.62/3.18 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_22 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4741,f4156])). 22.62/3.18 tff(f4741,plain,( 22.62/3.18 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_22 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4740,f4444])). 22.62/3.18 tff(f4740,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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_22 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4739,f4070])). 22.62/3.18 tff(f4739,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_22 | ~spl30_87 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4738,f4129])). 22.62/3.18 tff(f4738,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_22 | ~spl30_87 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4676,f4142])). 22.62/3.18 tff(f4676,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_22 | ~spl30_87)), 22.62/3.18 inference(superposition,[],[f692,f4083])). 22.62/3.18 tff(f692,plain,( 22.62/3.18 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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_22), 22.62/3.18 inference(avatar_component_clause,[],[f691])). 22.62/3.18 tff(f4737,plain,( 22.62/3.18 spl30_436 | ~spl30_12 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4733,f1165,f1162,f1121,f1118,f1077,f1074,f608,f4735])). 22.62/3.18 tff(f4735,plain,( 22.62/3.18 spl30_436 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_436])])). 22.62/3.18 tff(f4733,plain,( 22.62/3.18 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_12 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4732,f4156])). 22.62/3.18 tff(f4732,plain,( 22.62/3.18 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_12 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4731,f4444])). 22.62/3.18 tff(f4731,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_12 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4730,f4070])). 22.62/3.18 tff(f4730,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_12 | ~spl30_87 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4729,f4129])). 22.62/3.18 tff(f4729,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13) | (~spl30_12 | ~spl30_87 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4675,f4142])). 22.62/3.18 tff(f4675,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | (~spl30_12 | ~spl30_87)), 22.62/3.18 inference(superposition,[],[f635,f4083])). 22.62/3.18 tff(f4728,plain,( 22.62/3.18 spl30_435 | ~spl30_13 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4724,f1165,f1162,f1121,f1118,f1077,f1074,f612,f4726])). 22.62/3.18 tff(f4726,plain,( 22.62/3.18 spl30_435 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_435])])). 22.62/3.18 tff(f612,plain,( 22.62/3.18 spl30_13 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 22.62/3.18 tff(f4724,plain,( 22.62/3.18 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_13 | ~spl30_81 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4723,f4156])). 22.62/3.18 tff(f4723,plain,( 22.62/3.18 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_13 | ~spl30_81 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4722,f4444])). 22.62/3.18 tff(f4722,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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_13 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4721,f4070])). 22.62/3.18 tff(f4721,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_13 | ~spl30_87 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4720,f4129])). 22.62/3.18 tff(f4720,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK14) | (~spl30_13 | ~spl30_87 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4674,f4142])). 22.62/3.18 tff(f4674,plain,( 22.62/3.18 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,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_13 | ~spl30_87)), 22.62/3.18 inference(superposition,[],[f613,f4083])). 22.62/3.18 tff(f613,plain,( 22.62/3.18 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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | ~spl30_13), 22.62/3.18 inference(avatar_component_clause,[],[f612])). 22.62/3.18 tff(f4596,plain,( 22.62/3.18 ~spl30_401 | ~spl30_87 | ~spl30_248), 22.62/3.18 inference(avatar_split_clause,[],[f4595,f2507,f1118,f4094])). 22.62/3.18 tff(f2507,plain,( 22.62/3.18 spl30_248 <=> ! [X9 : $int] : (~$less(sK6,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_248])])). 22.62/3.18 tff(f4595,plain,( 22.62/3.18 ~is_index1(9) | (~spl30_87 | ~spl30_248)), 22.62/3.18 inference(forward_demodulation,[],[f4594,f4083])). 22.62/3.18 tff(f4594,plain,( 22.62/3.18 ~is_index1(sK6) | ~spl30_248), 22.62/3.18 inference(evaluation,[],[f4565])). 22.62/3.18 tff(f4565,plain,( 22.62/3.18 $less(81,81) | $less(81,0) | ~is_index1(sK6) | ~spl30_248), 22.62/3.18 inference(resolution,[],[f2508,f357])). 22.62/3.18 tff(f2508,plain,( 22.62/3.18 ( ! [X9:$int] : (~$less(sK6,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_248), 22.62/3.18 inference(avatar_component_clause,[],[f2507])). 22.62/3.18 tff(f4557,plain,( 22.62/3.18 ~spl30_401 | ~spl30_93 | ~spl30_246), 22.62/3.18 inference(avatar_split_clause,[],[f4555,f2491,f1162,f4094])). 22.62/3.18 tff(f2491,plain,( 22.62/3.18 spl30_246 <=> ! [X9 : $int] : (~$less(sK10,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_246])])). 22.62/3.18 tff(f4555,plain,( 22.62/3.18 ~is_index1(9) | (~spl30_93 | ~spl30_246)), 22.62/3.18 inference(forward_demodulation,[],[f4554,f4142])). 22.62/3.18 tff(f4554,plain,( 22.62/3.18 ~is_index1(sK10) | ~spl30_246), 22.62/3.18 inference(evaluation,[],[f4525])). 22.62/3.18 tff(f4525,plain,( 22.62/3.18 $less(81,81) | $less(81,0) | ~is_index1(sK10) | ~spl30_246), 22.62/3.18 inference(resolution,[],[f2492,f357])). 22.62/3.18 tff(f2492,plain,( 22.62/3.18 ( ! [X9:$int] : (~$less(sK10,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_246), 22.62/3.18 inference(avatar_component_clause,[],[f2491])). 22.62/3.18 tff(f4450,plain,( 22.62/3.18 spl30_434 | ~spl30_168), 22.62/3.18 inference(avatar_split_clause,[],[f4443,f2003,f4448])). 22.62/3.18 tff(f4448,plain,( 22.62/3.18 spl30_434 <=> mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_434])])). 22.62/3.18 tff(f2003,plain,( 22.62/3.18 spl30_168 <=> 9 = length1(int,mk_array1(int,sK2,t2tb(sK3)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_168])])). 22.62/3.18 tff(f4443,plain,( 22.62/3.18 mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_168), 22.62/3.18 inference(superposition,[],[f364,f2004])). 22.62/3.18 tff(f2004,plain,( 22.62/3.18 9 = length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~spl30_168), 22.62/3.18 inference(avatar_component_clause,[],[f2003])). 22.62/3.18 tff(f364,plain,( 22.62/3.18 ( ! [X0:ty,X1:uni] : (mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1) )), 22.62/3.18 inference(cnf_transformation,[],[f94])). 22.62/3.18 tff(f94,plain,( 22.62/3.18 ! [X0 : ty,X1 : uni] : mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1), 22.62/3.18 inference(rectify,[],[f56])). 22.62/3.18 tff(f56,axiom,( 22.62/3.18 ! [X16 : ty,X4 : uni] : mk_array1(X16,length1(X16,X4),elts(X16,X4)) = X4), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',array_inversion1)). 22.62/3.18 tff(f4446,plain,( 22.62/3.18 spl30_81 | ~spl30_168), 22.62/3.18 inference(avatar_split_clause,[],[f4441,f2003,f1074])). 22.62/3.18 tff(f4441,plain,( 22.62/3.18 9 = sK2 | ~spl30_168), 22.62/3.18 inference(superposition,[],[f395,f2004])). 22.62/3.18 tff(f395,plain,( 22.62/3.18 ( ! [X2:uni,X0:ty,X1:$int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 22.62/3.18 inference(cnf_transformation,[],[f102])). 22.62/3.18 tff(f102,plain,( 22.62/3.18 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 22.62/3.18 inference(rectify,[],[f49])). 22.62/3.18 tff(f49,axiom,( 22.62/3.18 ! [X16 : ty,X4 : $int,X5 : uni] : length1(X16,mk_array1(X16,X4,X5)) = X4), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def1)). 22.62/3.18 tff(f4445,plain,( 22.62/3.18 spl30_81 | ~spl30_168), 22.62/3.18 inference(avatar_split_clause,[],[f4440,f2003,f1074])). 22.62/3.18 tff(f4440,plain,( 22.62/3.18 9 = sK2 | ~spl30_168), 22.62/3.18 inference(superposition,[],[f2004,f395])). 22.62/3.18 tff(f4425,plain,( 22.62/3.18 ~spl30_433 | spl30_36 | ~spl30_88), 22.62/3.18 inference(avatar_split_clause,[],[f4205,f1121,f780,f4423])). 22.62/3.18 tff(f4423,plain,( 22.62/3.18 spl30_433 <=> is_index1(81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_433])])). 22.62/3.18 tff(f780,plain,( 22.62/3.18 spl30_36 <=> is_index1(sK4)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 22.62/3.18 tff(f4205,plain,( 22.62/3.18 ~is_index1(81) | (spl30_36 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f1636,f4070])). 22.62/3.18 tff(f1636,plain,( 22.62/3.18 ~is_index1(sK4) | spl30_36), 22.62/3.18 inference(avatar_component_clause,[],[f780])). 22.62/3.18 tff(f4421,plain,( 22.62/3.18 ~spl30_432 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160), 22.62/3.18 inference(avatar_split_clause,[],[f4417,f1609,f1165,f1162,f1121,f1118,f1077,f4419])). 22.62/3.18 tff(f4419,plain,( 22.62/3.18 spl30_432 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_432])])). 22.62/3.18 tff(f4417,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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,$sum(sK14,1))) | (~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.62/3.18 inference(forward_demodulation,[],[f4416,f4156])). 22.62/3.18 tff(f4416,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.62/3.18 inference(forward_demodulation,[],[f4415,f4083])). 22.62/3.18 tff(f4415,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_160)), 22.62/3.18 inference(forward_demodulation,[],[f4414,f4129])). 22.62/3.18 tff(f4414,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | spl30_160)), 22.62/3.18 inference(forward_demodulation,[],[f4204,f4142])). 22.62/3.18 tff(f4204,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | spl30_160)), 22.62/3.18 inference(superposition,[],[f1610,f4070])). 22.62/3.18 tff(f4413,plain,( 22.62/3.18 ~spl30_431 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159), 22.62/3.18 inference(avatar_split_clause,[],[f4409,f1606,f1165,f1162,f1121,f1118,f1077,f4411])). 22.62/3.18 tff(f4411,plain,( 22.62/3.18 spl30_431 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_431])])). 22.62/3.18 tff(f4409,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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,$sum(sK14,1))) | (~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.62/3.18 inference(forward_demodulation,[],[f4408,f4156])). 22.62/3.18 tff(f4408,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.62/3.18 inference(forward_demodulation,[],[f4407,f4083])). 22.62/3.18 tff(f4407,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_159)), 22.62/3.18 inference(forward_demodulation,[],[f4406,f4129])). 22.62/3.18 tff(f4406,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | spl30_159)), 22.62/3.18 inference(forward_demodulation,[],[f4203,f4142])). 22.62/3.18 tff(f4203,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | spl30_159)), 22.62/3.18 inference(superposition,[],[f1607,f4070])). 22.62/3.18 tff(f4405,plain,( 22.62/3.18 ~spl30_430 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158), 22.62/3.18 inference(avatar_split_clause,[],[f4401,f1603,f1165,f1162,f1121,f1118,f1077,f4403])). 22.62/3.18 tff(f4403,plain,( 22.62/3.18 spl30_430 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_430])])). 22.62/3.18 tff(f4401,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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,$sum(sK14,1))) | (~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.62/3.18 inference(forward_demodulation,[],[f4400,f4156])). 22.62/3.18 tff(f4400,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.62/3.18 inference(forward_demodulation,[],[f4399,f4083])). 22.62/3.18 tff(f4399,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_158)), 22.62/3.18 inference(forward_demodulation,[],[f4398,f4129])). 22.62/3.18 tff(f4398,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_88 | ~spl30_93 | spl30_158)), 22.62/3.18 inference(forward_demodulation,[],[f4202,f4142])). 22.62/3.18 tff(f4202,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_158)), 22.62/3.18 inference(superposition,[],[f1604,f4070])). 22.62/3.18 tff(f4397,plain,( 22.62/3.18 ~spl30_429 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157), 22.62/3.18 inference(avatar_split_clause,[],[f4393,f1599,f1165,f1162,f1121,f1118,f1077,f4395])). 22.62/3.18 tff(f4395,plain,( 22.62/3.18 spl30_429 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_429])])). 22.62/3.18 tff(f4393,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.62/3.18 inference(forward_demodulation,[],[f4392,f4156])). 22.62/3.18 tff(f4392,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.62/3.18 inference(forward_demodulation,[],[f4391,f4083])). 22.62/3.18 tff(f4391,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_157)), 22.62/3.18 inference(forward_demodulation,[],[f4390,f4129])). 22.62/3.18 tff(f4390,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_88 | ~spl30_93 | spl30_157)), 22.62/3.18 inference(forward_demodulation,[],[f4201,f4142])). 22.62/3.18 tff(f4201,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | (~spl30_88 | spl30_157)), 22.62/3.18 inference(superposition,[],[f1600,f4070])). 22.62/3.18 tff(f4389,plain,( 22.62/3.18 ~spl30_428 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142), 22.62/3.18 inference(avatar_split_clause,[],[f4385,f1512,f1165,f1162,f1121,f1118,f1077,f4387])). 22.62/3.18 tff(f4387,plain,( 22.62/3.18 spl30_428 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_428])])). 22.62/3.18 tff(f4385,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.62/3.18 inference(forward_demodulation,[],[f4384,f4156])). 22.62/3.18 tff(f4384,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.62/3.18 inference(forward_demodulation,[],[f4383,f4083])). 22.62/3.18 tff(f4383,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_142)), 22.62/3.18 inference(forward_demodulation,[],[f4382,f4129])). 22.62/3.18 tff(f4382,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_142)), 22.62/3.18 inference(forward_demodulation,[],[f4200,f4142])). 22.62/3.18 tff(f4200,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_142)), 22.62/3.18 inference(superposition,[],[f1513,f4070])). 22.62/3.18 tff(f4381,plain,( 22.62/3.18 ~spl30_427 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141), 22.62/3.18 inference(avatar_split_clause,[],[f4377,f1509,f1165,f1162,f1121,f1118,f1077,f4379])). 22.62/3.18 tff(f4379,plain,( 22.62/3.18 spl30_427 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_427])])). 22.62/3.18 tff(f4377,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.62/3.18 inference(forward_demodulation,[],[f4376,f4156])). 22.62/3.18 tff(f4376,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.62/3.18 inference(forward_demodulation,[],[f4375,f4083])). 22.62/3.18 tff(f4375,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_141)), 22.62/3.18 inference(forward_demodulation,[],[f4374,f4129])). 22.62/3.18 tff(f4374,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_141)), 22.62/3.18 inference(forward_demodulation,[],[f4199,f4142])). 22.62/3.18 tff(f4199,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_141)), 22.62/3.18 inference(superposition,[],[f1510,f4070])). 22.62/3.18 tff(f4373,plain,( 22.62/3.18 ~spl30_426 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140), 22.62/3.18 inference(avatar_split_clause,[],[f4369,f1506,f1165,f1162,f1121,f1118,f1077,f4371])). 22.62/3.18 tff(f4371,plain,( 22.62/3.18 spl30_426 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_426])])). 22.62/3.18 tff(f4369,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.62/3.18 inference(forward_demodulation,[],[f4368,f4156])). 22.62/3.18 tff(f4368,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.62/3.18 inference(forward_demodulation,[],[f4367,f4083])). 22.62/3.18 tff(f4367,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_140)), 22.62/3.18 inference(forward_demodulation,[],[f4366,f4129])). 22.62/3.18 tff(f4366,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_140)), 22.62/3.18 inference(forward_demodulation,[],[f4198,f4142])). 22.62/3.18 tff(f4198,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_140)), 22.62/3.18 inference(superposition,[],[f1507,f4070])). 22.62/3.18 tff(f4365,plain,( 22.62/3.18 ~spl30_425 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f4361,f1500,f1165,f1162,f1121,f1118,f1077,f4363])). 22.62/3.18 tff(f4363,plain,( 22.62/3.18 spl30_425 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_425])])). 22.62/3.18 tff(f4361,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4360,f4156])). 22.62/3.18 tff(f4360,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4359,f4083])). 22.62/3.18 tff(f4359,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4358,f4129])). 22.62/3.18 tff(f4358,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_88 | ~spl30_93 | spl30_139)), 22.62/3.18 inference(forward_demodulation,[],[f4197,f4142])). 22.62/3.18 tff(f4197,plain,( 22.62/3.18 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | spl30_139)), 22.62/3.18 inference(superposition,[],[f1503,f4070])). 22.62/3.18 tff(f4337,plain,( 22.62/3.18 ~spl30_424 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135), 22.62/3.18 inference(avatar_split_clause,[],[f4333,f1477,f1165,f1162,f1121,f1118,f1077,f4335])). 22.62/3.18 tff(f4335,plain,( 22.62/3.18 spl30_424 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_424])])). 22.62/3.18 tff(f4333,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4332,f4156])). 22.62/3.18 tff(f4332,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4331,f4083])). 22.62/3.18 tff(f4331,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4330,f4129])). 22.62/3.18 tff(f4330,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_135)), 22.62/3.18 inference(forward_demodulation,[],[f4191,f4142])). 22.62/3.18 tff(f4191,plain,( 22.62/3.18 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_135)), 22.62/3.18 inference(superposition,[],[f1478,f4070])). 22.62/3.18 tff(f4329,plain,( 22.62/3.18 ~spl30_423 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f4325,f1474,f1165,f1162,f1121,f1118,f1077,f4327])). 22.62/3.18 tff(f4327,plain,( 22.62/3.18 spl30_423 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_423])])). 22.62/3.18 tff(f4325,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4324,f4156])). 22.62/3.18 tff(f4324,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4323,f4083])). 22.62/3.18 tff(f4323,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4322,f4129])). 22.62/3.18 tff(f4322,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_134)), 22.62/3.18 inference(forward_demodulation,[],[f4190,f4142])). 22.62/3.18 tff(f4190,plain,( 22.62/3.18 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_134)), 22.62/3.18 inference(superposition,[],[f1475,f4070])). 22.62/3.18 tff(f4321,plain,( 22.62/3.18 ~spl30_422 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f4317,f1471,f1165,f1162,f1121,f1118,f1077,f4319])). 22.62/3.18 tff(f4319,plain,( 22.62/3.18 spl30_422 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_422])])). 22.62/3.18 tff(f4317,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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,sK2,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_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4316,f4156])). 22.62/3.18 tff(f4316,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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,sK2,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_87 | ~spl30_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4315,f4083])). 22.62/3.18 tff(f4315,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | ~spl30_93 | ~spl30_94 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4314,f4129])). 22.62/3.18 tff(f4314,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_88 | ~spl30_93 | spl30_133)), 22.62/3.18 inference(forward_demodulation,[],[f4189,f4142])). 22.62/3.18 tff(f4189,plain,( 22.62/3.18 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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,81,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_88 | spl30_133)), 22.62/3.18 inference(superposition,[],[f1472,f4070])). 22.62/3.18 tff(f4313,plain,( 22.62/3.18 spl30_421 | ~spl30_87 | ~spl30_88 | ~spl30_129), 22.62/3.18 inference(avatar_split_clause,[],[f4309,f1444,f1121,f1118,f4311])). 22.62/3.18 tff(f4311,plain,( 22.62/3.18 spl30_421 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_421])])). 22.62/3.18 tff(f1444,plain,( 22.62/3.18 spl30_129 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 22.62/3.18 tff(f4309,plain,( 22.62/3.18 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_87 | ~spl30_88 | ~spl30_129)), 22.62/3.18 inference(forward_demodulation,[],[f4188,f4083])). 22.62/3.18 tff(f4188,plain,( 22.62/3.18 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_88 | ~spl30_129)), 22.62/3.18 inference(superposition,[],[f1445,f4070])). 22.62/3.18 tff(f1445,plain,( 22.62/3.18 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_129), 22.62/3.18 inference(avatar_component_clause,[],[f1444])). 22.62/3.18 tff(f4308,plain,( 22.62/3.18 spl30_420 | ~spl30_4 | ~spl30_87 | ~spl30_88), 22.62/3.18 inference(avatar_split_clause,[],[f4304,f1121,f1118,f584,f4306])). 22.62/3.18 tff(f584,plain,( 22.62/3.18 spl30_4 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 22.62/3.18 tff(f4304,plain,( 22.62/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_4 | ~spl30_87 | ~spl30_88)), 22.62/3.18 inference(forward_demodulation,[],[f4187,f4083])). 22.62/3.18 tff(f4187,plain,( 22.62/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_4 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f1429,f4070])). 22.62/3.18 tff(f1429,plain,( 22.62/3.18 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_4), 22.62/3.18 inference(avatar_component_clause,[],[f584])). 22.62/3.18 tff(f4295,plain,( 22.62/3.18 spl30_419 | ~spl30_87 | ~spl30_88 | ~spl30_127), 22.62/3.18 inference(avatar_split_clause,[],[f4291,f1374,f1121,f1118,f4293])). 22.62/3.18 tff(f4293,plain,( 22.62/3.18 spl30_419 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_419])])). 22.62/3.18 tff(f1374,plain,( 22.62/3.18 spl30_127 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 22.62/3.18 tff(f4291,plain,( 22.62/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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_87 | ~spl30_88 | ~spl30_127)), 22.62/3.18 inference(forward_demodulation,[],[f4185,f4083])). 22.62/3.18 tff(f4185,plain,( 22.62/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | (~spl30_88 | ~spl30_127)), 22.62/3.18 inference(superposition,[],[f1375,f4070])). 22.62/3.18 tff(f1375,plain,( 22.62/3.18 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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_127), 22.62/3.18 inference(avatar_component_clause,[],[f1374])). 22.62/3.18 tff(f4290,plain,( 22.62/3.18 ~spl30_418 | ~spl30_87 | ~spl30_88 | spl30_126), 22.62/3.18 inference(avatar_split_clause,[],[f4286,f1368,f1121,f1118,f4288])). 22.62/3.18 tff(f4288,plain,( 22.62/3.18 spl30_418 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_418])])). 22.62/3.18 tff(f1368,plain,( 22.62/3.18 spl30_126 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_126])])). 22.62/3.18 tff(f4286,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_87 | ~spl30_88 | spl30_126)), 22.62/3.18 inference(forward_demodulation,[],[f4184,f4083])). 22.62/3.18 tff(f4184,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | (~spl30_88 | spl30_126)), 22.62/3.18 inference(superposition,[],[f1369,f4070])). 22.62/3.18 tff(f1369,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_126), 22.62/3.18 inference(avatar_component_clause,[],[f1368])). 22.62/3.18 tff(f4285,plain,( 22.62/3.18 ~spl30_417 | ~spl30_87 | ~spl30_88 | spl30_125), 22.62/3.18 inference(avatar_split_clause,[],[f4281,f1362,f1121,f1118,f4283])). 22.62/3.18 tff(f4283,plain,( 22.62/3.18 spl30_417 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_417])])). 22.62/3.18 tff(f1362,plain,( 22.62/3.18 spl30_125 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 22.62/3.18 tff(f4281,plain,( 22.62/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_87 | ~spl30_88 | spl30_125)), 22.62/3.18 inference(forward_demodulation,[],[f4183,f4083])). 22.62/3.18 tff(f4183,plain,( 22.62/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | (~spl30_88 | spl30_125)), 22.62/3.18 inference(superposition,[],[f1363,f4070])). 22.62/3.18 tff(f1363,plain,( 22.62/3.18 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_125), 22.62/3.18 inference(avatar_component_clause,[],[f1362])). 22.62/3.18 tff(f4280,plain,( 22.62/3.18 ~spl30_416 | ~spl30_87 | ~spl30_88 | spl30_123), 22.62/3.18 inference(avatar_split_clause,[],[f4276,f1350,f1121,f1118,f4278])). 22.62/3.18 tff(f4278,plain,( 22.62/3.18 spl30_416 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_416])])). 22.62/3.18 tff(f1350,plain,( 22.62/3.18 spl30_123 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 22.62/3.18 tff(f4276,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | (~spl30_87 | ~spl30_88 | spl30_123)), 22.62/3.18 inference(forward_demodulation,[],[f4182,f4083])). 22.62/3.18 tff(f4182,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | (~spl30_88 | spl30_123)), 22.62/3.18 inference(superposition,[],[f1351,f4070])). 22.62/3.18 tff(f1351,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_123), 22.62/3.18 inference(avatar_component_clause,[],[f1350])). 22.62/3.18 tff(f4275,plain,( 22.62/3.18 ~spl30_415 | ~spl30_87 | ~spl30_88 | spl30_122), 22.62/3.18 inference(avatar_split_clause,[],[f4271,f1344,f1121,f1118,f4273])). 22.62/3.18 tff(f4273,plain,( 22.62/3.18 spl30_415 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_415])])). 22.62/3.18 tff(f1344,plain,( 22.62/3.18 spl30_122 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 22.62/3.18 tff(f4271,plain,( 22.62/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_87 | ~spl30_88 | spl30_122)), 22.62/3.18 inference(forward_demodulation,[],[f4181,f4083])). 22.62/3.18 tff(f4181,plain,( 22.62/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_88 | spl30_122)), 22.62/3.18 inference(superposition,[],[f1345,f4070])). 22.62/3.18 tff(f1345,plain,( 22.62/3.18 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_122), 22.62/3.18 inference(avatar_component_clause,[],[f1344])). 22.62/3.18 tff(f4270,plain,( 22.62/3.18 spl30_414 | ~spl30_87 | ~spl30_88 | ~spl30_121), 22.62/3.18 inference(avatar_split_clause,[],[f4266,f1340,f1121,f1118,f4268])). 22.62/3.18 tff(f4268,plain,( 22.62/3.18 spl30_414 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_414])])). 22.62/3.18 tff(f1340,plain,( 22.62/3.18 spl30_121 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_121])])). 22.62/3.18 tff(f4266,plain,( 22.62/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_87 | ~spl30_88 | ~spl30_121)), 22.62/3.18 inference(forward_demodulation,[],[f4180,f4083])). 22.62/3.18 tff(f4180,plain,( 22.62/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_88 | ~spl30_121)), 22.62/3.18 inference(superposition,[],[f1341,f4070])). 22.62/3.18 tff(f1341,plain,( 22.62/3.18 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_121), 22.62/3.18 inference(avatar_component_clause,[],[f1340])). 22.62/3.18 tff(f4265,plain,( 22.62/3.18 ~spl30_413 | ~spl30_87 | ~spl30_88 | spl30_120), 22.62/3.18 inference(avatar_split_clause,[],[f4261,f1336,f1121,f1118,f4263])). 22.62/3.18 tff(f4263,plain,( 22.62/3.18 spl30_413 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_413])])). 22.62/3.18 tff(f1336,plain,( 22.62/3.18 spl30_120 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 22.62/3.18 tff(f4261,plain,( 22.62/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_87 | ~spl30_88 | spl30_120)), 22.62/3.18 inference(forward_demodulation,[],[f4179,f4083])). 22.62/3.18 tff(f4179,plain,( 22.62/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_88 | spl30_120)), 22.62/3.18 inference(superposition,[],[f1337,f4070])). 22.62/3.18 tff(f1337,plain,( 22.62/3.18 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_120), 22.62/3.18 inference(avatar_component_clause,[],[f1336])). 22.62/3.18 tff(f4260,plain,( 22.62/3.18 spl30_412 | ~spl30_87 | ~spl30_88 | ~spl30_119), 22.62/3.18 inference(avatar_split_clause,[],[f4256,f1332,f1121,f1118,f4258])). 22.62/3.18 tff(f4258,plain,( 22.62/3.18 spl30_412 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_412])])). 22.62/3.18 tff(f1332,plain,( 22.62/3.18 spl30_119 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_119])])). 22.62/3.18 tff(f4256,plain,( 22.62/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_87 | ~spl30_88 | ~spl30_119)), 22.62/3.18 inference(forward_demodulation,[],[f4178,f4083])). 22.62/3.18 tff(f4178,plain,( 22.62/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_88 | ~spl30_119)), 22.62/3.18 inference(superposition,[],[f1333,f4070])). 22.62/3.18 tff(f1333,plain,( 22.62/3.18 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_119), 22.62/3.18 inference(avatar_component_clause,[],[f1332])). 22.62/3.18 tff(f4255,plain,( 22.62/3.18 ~spl30_411 | ~spl30_87 | ~spl30_88 | spl30_118), 22.62/3.18 inference(avatar_split_clause,[],[f4251,f1328,f1121,f1118,f4253])). 22.62/3.18 tff(f4253,plain,( 22.62/3.18 spl30_411 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_411])])). 22.62/3.18 tff(f1328,plain,( 22.62/3.18 spl30_118 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 22.62/3.18 tff(f4251,plain,( 22.62/3.18 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_87 | ~spl30_88 | spl30_118)), 22.62/3.18 inference(forward_demodulation,[],[f4177,f4083])). 22.62/3.18 tff(f4177,plain,( 22.62/3.18 sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_88 | spl30_118)), 22.62/3.18 inference(superposition,[],[f1329,f4070])). 22.62/3.18 tff(f1329,plain,( 22.62/3.18 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_118), 22.62/3.18 inference(avatar_component_clause,[],[f1328])). 22.62/3.18 tff(f4250,plain,( 22.62/3.18 ~spl30_410 | ~spl30_87 | ~spl30_88 | spl30_91), 22.62/3.18 inference(avatar_split_clause,[],[f4246,f1147,f1121,f1118,f4248])). 22.62/3.18 tff(f4248,plain,( 22.62/3.18 spl30_410 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK17(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_410])])). 22.62/3.18 tff(f1147,plain,( 22.62/3.18 spl30_91 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 22.62/3.18 tff(f4246,plain,( 22.62/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK17(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))) | (~spl30_87 | ~spl30_88 | spl30_91)), 22.62/3.18 inference(forward_demodulation,[],[f4176,f4083])). 22.62/3.18 tff(f4176,plain,( 22.62/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK17(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | (~spl30_88 | spl30_91)), 22.62/3.18 inference(superposition,[],[f1148,f4070])). 22.62/3.18 tff(f1148,plain,( 22.62/3.18 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | spl30_91), 22.62/3.18 inference(avatar_component_clause,[],[f1147])). 22.62/3.18 tff(f4245,plain,( 22.62/3.18 spl30_409 | ~spl30_87 | ~spl30_88 | ~spl30_89), 22.62/3.18 inference(avatar_split_clause,[],[f4241,f1129,f1121,f1118,f4243])). 22.62/3.18 tff(f4243,plain,( 22.62/3.18 spl30_409 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_409])])). 22.62/3.18 tff(f1129,plain,( 22.62/3.18 spl30_89 <=> $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 22.62/3.18 tff(f4241,plain,( 22.62/3.18 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_87 | ~spl30_88 | ~spl30_89)), 22.62/3.18 inference(forward_demodulation,[],[f4175,f4083])). 22.62/3.18 tff(f4175,plain,( 22.62/3.18 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_88 | ~spl30_89)), 22.62/3.18 inference(superposition,[],[f1130,f4070])). 22.62/3.18 tff(f1130,plain,( 22.62/3.18 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_89), 22.62/3.18 inference(avatar_component_clause,[],[f1129])). 22.62/3.18 tff(f4240,plain,( 22.62/3.18 spl30_408 | ~spl30_22 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4236,f1165,f1162,f1121,f1118,f1077,f691,f4238])). 22.62/3.18 tff(f4238,plain,( 22.62/3.18 spl30_408 <=> well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_408])])). 22.62/3.18 tff(f4236,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_22 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4235,f4156])). 22.62/3.18 tff(f4235,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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_22 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4234,f4083])). 22.62/3.18 tff(f4234,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_22 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4233,f4129])). 22.62/3.18 tff(f4233,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_22 | ~spl30_88 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4169,f4142])). 22.62/3.18 tff(f4169,plain,( 22.62/3.18 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_22 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f692,f4070])). 22.62/3.18 tff(f4232,plain,( 22.62/3.18 spl30_407 | ~spl30_12 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4228,f1165,f1162,f1121,f1118,f1077,f608,f4230])). 22.62/3.18 tff(f4230,plain,( 22.62/3.18 spl30_407 <=> valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_407])])). 22.62/3.18 tff(f4228,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_12 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4227,f4156])). 22.62/3.18 tff(f4227,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_12 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4226,f4083])). 22.62/3.18 tff(f4226,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_12 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4225,f4129])). 22.62/3.18 tff(f4225,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_12 | ~spl30_88 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4167,f4142])). 22.62/3.18 tff(f4167,plain,( 22.62/3.18 valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_12 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f635,f4070])). 22.62/3.18 tff(f4224,plain,( 22.62/3.18 spl30_406 | ~spl30_13 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94), 22.62/3.18 inference(avatar_split_clause,[],[f4220,f1165,f1162,f1121,f1118,f1077,f612,f4222])). 22.62/3.18 tff(f4222,plain,( 22.62/3.18 spl30_406 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_406])])). 22.62/3.18 tff(f4220,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,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_13 | ~spl30_82 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4219,f4156])). 22.62/3.18 tff(f4219,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,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_13 | ~spl30_87 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4218,f4083])). 22.62/3.18 tff(f4218,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_13 | ~spl30_88 | ~spl30_93 | ~spl30_94)), 22.62/3.18 inference(forward_demodulation,[],[f4217,f4129])). 22.62/3.18 tff(f4217,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_13 | ~spl30_88 | ~spl30_93)), 22.62/3.18 inference(forward_demodulation,[],[f4166,f4142])). 22.62/3.18 tff(f4166,plain,( 22.62/3.18 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,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_13 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f613,f4070])). 22.62/3.18 tff(f4216,plain,( 22.62/3.18 ~spl30_405 | spl30_9 | ~spl30_87 | ~spl30_88), 22.62/3.18 inference(avatar_split_clause,[],[f4212,f1121,f1118,f599,f4214])). 22.62/3.18 tff(f4212,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (spl30_9 | ~spl30_87 | ~spl30_88)), 22.62/3.18 inference(forward_demodulation,[],[f4165,f4083])). 22.62/3.18 tff(f4165,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (spl30_9 | ~spl30_88)), 22.62/3.18 inference(superposition,[],[f600,f4070])). 22.62/3.18 tff(f4162,plain,( 22.62/3.18 spl30_404 | ~spl30_167), 22.62/3.18 inference(avatar_split_clause,[],[f4155,f1998,f4160])). 22.62/3.18 tff(f4160,plain,( 22.62/3.18 spl30_404 <=> mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_404])])). 22.62/3.18 tff(f1998,plain,( 22.62/3.18 spl30_167 <=> 81 = length1(int,mk_array1(int,sK0,t2tb(sK1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_167])])). 22.62/3.18 tff(f4155,plain,( 22.62/3.18 mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1)))) | ~spl30_167), 22.62/3.18 inference(superposition,[],[f364,f1999])). 22.62/3.18 tff(f1999,plain,( 22.62/3.18 81 = length1(int,mk_array1(int,sK0,t2tb(sK1))) | ~spl30_167), 22.62/3.18 inference(avatar_component_clause,[],[f1998])). 22.62/3.18 tff(f4158,plain,( 22.62/3.18 spl30_82 | ~spl30_167), 22.62/3.18 inference(avatar_split_clause,[],[f4153,f1998,f1077])). 22.62/3.18 tff(f4153,plain,( 22.62/3.18 81 = sK0 | ~spl30_167), 22.62/3.18 inference(superposition,[],[f395,f1999])). 22.62/3.18 tff(f4157,plain,( 22.62/3.18 spl30_82 | ~spl30_167), 22.62/3.18 inference(avatar_split_clause,[],[f4152,f1998,f1077])). 22.62/3.18 tff(f4152,plain,( 22.62/3.18 81 = sK0 | ~spl30_167), 22.62/3.18 inference(superposition,[],[f1999,f395])). 22.62/3.18 tff(f4148,plain,( 22.62/3.18 spl30_403 | ~spl30_166), 22.62/3.18 inference(avatar_split_clause,[],[f4141,f1970,f4146])). 22.62/3.18 tff(f4146,plain,( 22.62/3.18 spl30_403 <=> mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_403])])). 22.62/3.18 tff(f1970,plain,( 22.62/3.18 spl30_166 <=> 9 = length1(int,mk_array1(int,sK10,t2tb(sK11)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_166])])). 22.62/3.18 tff(f4141,plain,( 22.62/3.18 mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_166), 22.62/3.18 inference(superposition,[],[f364,f1971])). 22.62/3.18 tff(f1971,plain,( 22.62/3.18 9 = length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~spl30_166), 22.62/3.18 inference(avatar_component_clause,[],[f1970])). 22.62/3.18 tff(f4144,plain,( 22.62/3.18 spl30_93 | ~spl30_166), 22.62/3.18 inference(avatar_split_clause,[],[f4139,f1970,f1162])). 22.62/3.18 tff(f4139,plain,( 22.62/3.18 9 = sK10 | ~spl30_166), 22.62/3.18 inference(superposition,[],[f395,f1971])). 22.62/3.18 tff(f4143,plain,( 22.62/3.18 spl30_93 | ~spl30_166), 22.62/3.18 inference(avatar_split_clause,[],[f4138,f1970,f1162])). 22.62/3.18 tff(f4138,plain,( 22.62/3.18 9 = sK10 | ~spl30_166), 22.62/3.18 inference(superposition,[],[f1971,f395])). 22.62/3.18 tff(f4135,plain,( 22.62/3.18 spl30_402 | ~spl30_165), 22.62/3.18 inference(avatar_split_clause,[],[f4128,f1965,f4133])). 22.62/3.18 tff(f4133,plain,( 22.62/3.18 spl30_402 <=> mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_402])])). 22.62/3.18 tff(f1965,plain,( 22.62/3.18 spl30_165 <=> 81 = length1(int,mk_array1(int,sK8,t2tb(sK9)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_165])])). 22.62/3.18 tff(f4128,plain,( 22.62/3.18 mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9)))) | ~spl30_165), 22.62/3.18 inference(superposition,[],[f364,f1966])). 22.62/3.18 tff(f1966,plain,( 22.62/3.18 81 = length1(int,mk_array1(int,sK8,t2tb(sK9))) | ~spl30_165), 22.62/3.18 inference(avatar_component_clause,[],[f1965])). 22.62/3.18 tff(f4131,plain,( 22.62/3.18 spl30_94 | ~spl30_165), 22.62/3.18 inference(avatar_split_clause,[],[f4126,f1965,f1165])). 22.62/3.18 tff(f4126,plain,( 22.62/3.18 81 = sK8 | ~spl30_165), 22.62/3.18 inference(superposition,[],[f395,f1966])). 22.62/3.18 tff(f4130,plain,( 22.62/3.18 spl30_94 | ~spl30_165), 22.62/3.18 inference(avatar_split_clause,[],[f4125,f1965,f1165])). 22.62/3.18 tff(f4125,plain,( 22.62/3.18 81 = sK8 | ~spl30_165), 22.62/3.18 inference(superposition,[],[f1966,f395])). 22.62/3.18 tff(f4096,plain,( 22.62/3.18 spl30_401 | ~spl30_63 | ~spl30_87), 22.62/3.18 inference(avatar_split_clause,[],[f4092,f1118,f983,f4094])). 22.62/3.18 tff(f983,plain,( 22.62/3.18 spl30_63 <=> is_index1(sK6)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 22.62/3.18 tff(f4092,plain,( 22.62/3.18 is_index1(9) | (~spl30_63 | ~spl30_87)), 22.62/3.18 inference(forward_demodulation,[],[f984,f4083])). 22.62/3.18 tff(f984,plain,( 22.62/3.18 is_index1(sK6) | ~spl30_63), 22.62/3.18 inference(avatar_component_clause,[],[f983])). 22.62/3.18 tff(f4089,plain,( 22.62/3.18 spl30_400 | ~spl30_164), 22.62/3.18 inference(avatar_split_clause,[],[f4082,f1951,f4087])). 22.62/3.18 tff(f4087,plain,( 22.62/3.18 spl30_400 <=> mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_400])])). 22.62/3.18 tff(f1951,plain,( 22.62/3.18 spl30_164 <=> 9 = length1(int,mk_array1(int,sK6,t2tb(sK7)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_164])])). 22.62/3.18 tff(f4082,plain,( 22.62/3.18 mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_164), 22.62/3.18 inference(superposition,[],[f364,f1952])). 22.62/3.18 tff(f1952,plain,( 22.62/3.18 9 = length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~spl30_164), 22.62/3.18 inference(avatar_component_clause,[],[f1951])). 22.62/3.18 tff(f4085,plain,( 22.62/3.18 spl30_87 | ~spl30_164), 22.62/3.18 inference(avatar_split_clause,[],[f4080,f1951,f1118])). 22.62/3.18 tff(f4080,plain,( 22.62/3.18 9 = sK6 | ~spl30_164), 22.62/3.18 inference(superposition,[],[f395,f1952])). 22.62/3.18 tff(f4084,plain,( 22.62/3.18 spl30_87 | ~spl30_164), 22.62/3.18 inference(avatar_split_clause,[],[f4079,f1951,f1118])). 22.62/3.18 tff(f4079,plain,( 22.62/3.18 9 = sK6 | ~spl30_164), 22.62/3.18 inference(superposition,[],[f1952,f395])). 22.62/3.18 tff(f4076,plain,( 22.62/3.18 spl30_399 | ~spl30_163), 22.62/3.18 inference(avatar_split_clause,[],[f4069,f1946,f4074])). 22.62/3.18 tff(f4074,plain,( 22.62/3.18 spl30_399 <=> mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_399])])). 22.62/3.18 tff(f1946,plain,( 22.62/3.18 spl30_163 <=> 81 = length1(int,mk_array1(int,sK4,t2tb(sK5)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_163])])). 22.62/3.18 tff(f4069,plain,( 22.62/3.18 mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5)))) | ~spl30_163), 22.62/3.18 inference(superposition,[],[f364,f1947])). 22.62/3.18 tff(f1947,plain,( 22.62/3.18 81 = length1(int,mk_array1(int,sK4,t2tb(sK5))) | ~spl30_163), 22.62/3.18 inference(avatar_component_clause,[],[f1946])). 22.62/3.18 tff(f4072,plain,( 22.62/3.18 spl30_88 | ~spl30_163), 22.62/3.18 inference(avatar_split_clause,[],[f4067,f1946,f1121])). 22.62/3.18 tff(f4067,plain,( 22.62/3.18 81 = sK4 | ~spl30_163), 22.62/3.18 inference(superposition,[],[f395,f1947])). 22.62/3.18 tff(f4071,plain,( 22.62/3.18 spl30_88 | ~spl30_163), 22.62/3.18 inference(avatar_split_clause,[],[f4066,f1946,f1121])). 22.62/3.18 tff(f4066,plain,( 22.62/3.18 81 = sK4 | ~spl30_163), 22.62/3.18 inference(superposition,[],[f1947,f395])). 22.62/3.18 tff(f4008,plain,( 22.62/3.18 spl30_15 | spl30_398 | ~spl30_25), 22.62/3.18 inference(avatar_split_clause,[],[f3991,f704,f4006,f620])). 22.62/3.18 tff(f620,plain,( 22.62/3.18 spl30_15 <=> $less(sK14,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 22.62/3.18 tff(f4006,plain,( 22.62/3.18 spl30_398 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,sK14) | ~valid_up_to1(X17,X18,81))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_398])])). 22.62/3.18 tff(f704,plain,( 22.62/3.18 spl30_25 <=> $less(sK14,81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 22.62/3.18 tff(f3991,plain,( 22.62/3.18 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK14) | $less(sK14,0) | ~valid_up_to1(X17,X18,81)) ) | ~spl30_25), 22.62/3.18 inference(resolution,[],[f2930,f419])). 22.62/3.18 tff(f419,plain,( 22.62/3.18 ( ! [X2:$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)) )), 22.62/3.18 inference(cnf_transformation,[],[f206])). 22.62/3.18 tff(f206,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f204,f205])). 22.62/3.18 tff(f205,plain,( 22.62/3.18 ! [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)))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f204,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(rectify,[],[f203])). 22.62/3.18 tff(f203,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(nnf_transformation,[],[f151])). 22.62/3.18 tff(f151,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(flattening,[],[f150])). 22.62/3.18 tff(f150,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(ennf_transformation,[],[f71])). 22.62/3.18 tff(f71,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(theory_normalization,[],[f1])). 22.62/3.18 tff(f1,axiom,( 22.62/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (! [X3 : $int] : (($lesseq(0,X3) & $less(X3,X2)) => (valid_column1(X0,X1,X3) & valid_row1(X0,X1,X3) & valid_square1(X0,X1,X3))) <=> valid_up_to1(X0,X1,X2))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_up_to_def)). 22.62/3.18 tff(f2930,plain,( 22.62/3.18 $less(sK14,81) | ~spl30_25), 22.62/3.18 inference(avatar_component_clause,[],[f704])). 22.62/3.18 tff(f4004,plain,( 22.62/3.18 spl30_15 | spl30_397 | ~spl30_25), 22.62/3.18 inference(avatar_split_clause,[],[f3990,f704,f4002,f620])). 22.62/3.18 tff(f4002,plain,( 22.62/3.18 spl30_397 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK14) | ~valid_up_to1(X15,X16,81))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_397])])). 22.62/3.18 tff(f3990,plain,( 22.62/3.18 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK14) | $less(sK14,0) | ~valid_up_to1(X15,X16,81)) ) | ~spl30_25), 22.62/3.18 inference(resolution,[],[f2930,f418])). 22.62/3.18 tff(f418,plain,( 22.62/3.18 ( ! [X2:$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)) )), 22.62/3.18 inference(cnf_transformation,[],[f206])). 22.62/3.18 tff(f4000,plain,( 22.62/3.18 spl30_15 | spl30_396 | ~spl30_25), 22.62/3.18 inference(avatar_split_clause,[],[f3989,f704,f3998,f620])). 22.62/3.18 tff(f3998,plain,( 22.62/3.18 spl30_396 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK14) | ~valid_up_to1(X13,X14,81))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_396])])). 22.62/3.18 tff(f3989,plain,( 22.62/3.18 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK14) | $less(sK14,0) | ~valid_up_to1(X13,X14,81)) ) | ~spl30_25), 22.62/3.18 inference(resolution,[],[f2930,f417])). 22.62/3.18 tff(f417,plain,( 22.62/3.18 ( ! [X2:$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)) )), 22.62/3.18 inference(cnf_transformation,[],[f206])). 22.62/3.18 tff(f3996,plain,( 22.62/3.18 spl30_15 | spl30_395 | ~spl30_25), 22.62/3.18 inference(avatar_split_clause,[],[f3987,f704,f3993,f620])). 22.62/3.18 tff(f3993,plain,( 22.62/3.18 spl30_395 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_395])])). 22.62/3.18 tff(f3987,plain,( 22.62/3.18 ( ! [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),sK14)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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),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(sK14,0) | $less(X9,0) | sK14 = X9 | ~$less(X9,81) | ~valid_chunk_up_to1(X5,X7,X6,X8,81)) ) | ~spl30_25), 22.62/3.18 inference(resolution,[],[f2930,f453])). 22.62/3.18 tff(f453,plain,( 22.62/3.18 ( ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4) | ~valid_chunk_up_to1(X0,X1,X2,X3,X4)) )), 22.62/3.18 inference(cnf_transformation,[],[f218])). 22.62/3.18 tff(f218,plain,( 22.62/3.18 ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4)) | ~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),sK28(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),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),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(sK28(X0,X1,X2,X3,X4),0) & $less(sK28(X0,X1,X2,X3,X4),X4) & ~$less(sK29(X0,X1,X2,X3,X4),0) & sK28(X0,X1,X2,X3,X4) != sK29(X0,X1,X2,X3,X4) & $less(sK29(X0,X1,X2,X3,X4),X4))))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f216,f217])). 22.62/3.18 tff(f217,plain,( 22.62/3.18 ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(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(X7,0) & $less(X7,X4) & ~$less(X8,0) & X7 != X8 & $less(X8,X4)) => (tb2t1(get(int,int,t2tb(X0),t2tb1($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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK28(X0,X1,X2,X3,X4)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK29(X0,X1,X2,X3,X4))))))),1) & ~$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(sK28(X0,X1,X2,X3,X4),0) & $less(sK28(X0,X1,X2,X3,X4),X4) & ~$less(sK29(X0,X1,X2,X3,X4),0) & sK28(X0,X1,X2,X3,X4) != sK29(X0,X1,X2,X3,X4) & $less(sK29(X0,X1,X2,X3,X4),X4)))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f216,plain,( 22.62/3.18 ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4)) | ~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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(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(X7,0) & $less(X7,X4) & ~$less(X8,0) & X7 != X8 & $less(X8,X4))))), 22.62/3.18 inference(rectify,[],[f215])). 22.62/3.18 tff(f215,plain,( 22.62/3.18 ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4)) | ~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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) & ~$less(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(X5,0) & $less(X5,X4) & ~$less(X6,0) & X5 != X6 & $less(X6,X4))))), 22.62/3.18 inference(nnf_transformation,[],[f162])). 22.62/3.18 tff(f162,plain,( 22.62/3.18 ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4)) <=> valid_chunk_up_to1(X0,X1,X2,X3,X4))), 22.62/3.18 inference(flattening,[],[f161])). 22.62/3.18 tff(f161,plain,( 22.62/3.18 ! [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),X5)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))))) | ($less(X5,0) | ~$less(X5,X4) | $less(X6,0) | X5 = X6 | ~$less(X6,X4))) <=> valid_chunk_up_to1(X0,X1,X2,X3,X4))), 22.62/3.18 inference(ennf_transformation,[],[f122])). 22.62/3.18 tff(f122,plain,( 22.62/3.18 ! [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(X6,0) & X5 != X6 & $less(X6,X4)) => ((~$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(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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))))) => tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.18 inference(rectify,[],[f75])). 22.62/3.18 tff(f75,plain,( 22.62/3.18 ! [X1 : map_int_int,X2 : $int,X10 : array_int,X11 : array_int,X37 : $int] : (! [X38 : $int,X39 : $int] : ((~$less(X38,0) & $less(X38,X37) & ~$less(X39,0) & X38 != X39 & $less(X39,X37)) => ((~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38))))))) & ~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) => tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))))) <=> valid_chunk_up_to1(X1,X2,X10,X11,X37))), 22.62/3.18 inference(theory_normalization,[],[f15])). 22.62/3.18 tff(f15,axiom,( 22.62/3.18 ! [X1 : map_int_int,X2 : $int,X10 : array_int,X11 : array_int,X37 : $int] : (! [X38 : $int,X39 : $int] : (($lesseq(0,X38) & $less(X38,X37) & $lesseq(0,X39) & X38 != X39 & $less(X39,X37)) => (($lesseq(1,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38))))))) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39))))))) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))),9)) => tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))))) <=> valid_chunk_up_to1(X1,X2,X10,X11,X37))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_chunk_up_to_def)). 22.62/3.18 tff(f3995,plain,( 22.62/3.18 spl30_15 | spl30_395 | ~spl30_25), 22.62/3.18 inference(avatar_split_clause,[],[f3986,f704,f3993,f620])). 22.62/3.18 tff(f3986,plain,( 22.62/3.18 ( ! [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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))) | $less(X4,0) | ~$less(X4,81) | $less(sK14,0) | sK14 = X4 | ~valid_chunk_up_to1(X0,X2,X1,X3,81)) ) | ~spl30_25), 22.62/3.18 inference(resolution,[],[f2930,f453])). 22.62/3.18 tff(f3804,plain,( 22.62/3.18 spl30_394 | ~spl30_127), 22.62/3.18 inference(avatar_split_clause,[],[f3800,f1374,f3802])). 22.62/3.18 tff(f3802,plain,( 22.62/3.18 spl30_394 <=> get(int,int,t2tb(sK13),t2tb1($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))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_394])])). 22.62/3.18 tff(f3800,plain,( 22.62/3.18 get(int,int,t2tb(sK13),t2tb1($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))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~spl30_127), 22.62/3.18 inference(forward_demodulation,[],[f3799,f336])). 22.62/3.18 tff(f336,plain,( 22.62/3.18 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 22.62/3.18 inference(cnf_transformation,[],[f81])). 22.62/3.18 tff(f81,plain,( 22.62/3.18 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 22.62/3.18 inference(rectify,[],[f22])). 22.62/3.18 tff(f22,axiom,( 22.62/3.18 ! [X3 : uni] : t2tb1(tb2t1(X3)) = X3), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 22.62/3.18 tff(f3799,plain,( 22.62/3.18 get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_127), 22.62/3.18 inference(superposition,[],[f336,f1375])). 22.62/3.18 tff(f3781,plain,( 22.62/3.18 spl30_393 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3777,f1313,f3779])). 22.62/3.18 tff(f3779,plain,( 22.62/3.18 spl30_393 <=> get(int,int,t2tb(sK13),t2tb1($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))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_393])])). 22.62/3.18 tff(f3777,plain,( 22.62/3.18 get(int,int,t2tb(sK13),t2tb1($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))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~spl30_117), 22.62/3.18 inference(forward_demodulation,[],[f3754,f336])). 22.62/3.18 tff(f3754,plain,( 22.62/3.18 get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f336,f1314])). 22.62/3.18 tff(f3776,plain,( 22.62/3.18 spl30_116 | ~spl30_389 | spl30_390 | spl30_115 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3751,f1313,f1301,f3761,f3758,f1307])). 22.62/3.18 tff(f3758,plain,( 22.62/3.18 spl30_389 <=> is_index1($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))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_389])])). 22.62/3.18 tff(f3761,plain,( 22.62/3.18 spl30_390 <=> ! [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(sK13,X6))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_390])])). 22.62/3.18 tff(f3751,plain,( 22.62/3.18 ( ! [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_117), 22.62/3.18 inference(superposition,[],[f391,f1314])). 22.62/3.18 tff(f3775,plain,( 22.62/3.18 spl30_115 | ~spl30_389 | spl30_390 | spl30_116 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3750,f1313,f1307,f3761,f3758,f1301])). 22.62/3.18 tff(f3750,plain,( 22.62/3.18 ( ! [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_117), 22.62/3.18 inference(superposition,[],[f391,f1314])). 22.62/3.18 tff(f3774,plain,( 22.62/3.18 spl30_116 | spl30_115 | ~spl30_389 | spl30_390 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3749,f1313,f3761,f3758,f1301,f1307])). 22.62/3.18 tff(f3749,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X1)) ) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f391,f1314])). 22.62/3.18 tff(f3773,plain,( 22.62/3.18 ~spl30_389 | spl30_391 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3748,f1313,f3765,f3758])). 22.62/3.18 tff(f3765,plain,( 22.62/3.18 spl30_391 <=> ! [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(X7,sK13) | $less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X7),t2tb1($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))))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_391])])). 22.62/3.18 tff(f3748,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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)))))))))),1) | ~included1(X0,sK13)) ) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f391,f1314])). 22.62/3.18 tff(f3772,plain,( 22.62/3.18 ~spl30_8 | ~spl30_389 | ~spl30_392 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3747,f1313,f3769,f3758,f596])). 22.62/3.18 tff(f596,plain,( 22.62/3.18 spl30_8 <=> valid_values1(sK13)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_8])])). 22.62/3.18 tff(f3769,plain,( 22.62/3.18 spl30_392 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_392])])). 22.62/3.18 tff(f3747,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~valid_values1(sK13) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f362,f1314])). 22.62/3.18 tff(f3771,plain,( 22.62/3.18 ~spl30_389 | ~spl30_392 | ~spl30_8 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3742,f1313,f596,f3769,f3758])). 22.62/3.18 tff(f3742,plain,( 22.62/3.18 ~$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_8 | ~spl30_117)), 22.62/3.18 inference(superposition,[],[f709,f1314])). 22.62/3.18 tff(f709,plain,( 22.62/3.18 ( ! [X1:$int] : (~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1(X1))),0) | ~is_index1(X1)) ) | ~spl30_8), 22.62/3.18 inference(resolution,[],[f686,f362])). 22.62/3.18 tff(f686,plain,( 22.62/3.18 valid_values1(sK13) | ~spl30_8), 22.62/3.18 inference(avatar_component_clause,[],[f596])). 22.62/3.18 tff(f3767,plain,( 22.62/3.18 ~spl30_389 | spl30_391 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3740,f1313,f3765,f3758])). 22.62/3.18 tff(f3740,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(X7),t2tb1($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))))))))))) | $less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(X7,sK13)) ) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f1314,f391])). 22.62/3.18 tff(f3763,plain,( 22.62/3.18 ~spl30_389 | spl30_390 | spl30_115 | spl30_116 | ~spl30_117), 22.62/3.18 inference(avatar_split_clause,[],[f3756,f1313,f1307,f1301,f3761,f3758])). 22.62/3.18 tff(f3756,plain,( 22.62/3.18 ( ! [X6: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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~included1(sK13,X6)) ) | ~spl30_117), 22.62/3.18 inference(forward_demodulation,[],[f3755,f1314])). 22.62/3.18 tff(f3755,plain,( 22.62/3.18 ( ! [X6:map_int_int] : ($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(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)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X6)) ) | ~spl30_117), 22.62/3.18 inference(forward_demodulation,[],[f3739,f1314])). 22.62/3.18 tff(f3739,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X6)) ) | ~spl30_117), 22.62/3.18 inference(superposition,[],[f1314,f391])). 22.62/3.18 tff(f3736,plain,( 22.62/3.18 spl30_388 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3732,f1252,f3734])). 22.62/3.18 tff(f3734,plain,( 22.62/3.18 spl30_388 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($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)))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_388])])). 22.62/3.18 tff(f3732,plain,( 22.62/3.18 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($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_107), 22.62/3.18 inference(forward_demodulation,[],[f3709,f336])). 22.62/3.18 tff(f3709,plain,( 22.62/3.18 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_107), 22.62/3.18 inference(superposition,[],[f336,f1253])). 22.62/3.18 tff(f3731,plain,( 22.62/3.18 spl30_106 | ~spl30_384 | spl30_385 | spl30_105 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3706,f1252,f1240,f3716,f3713,f1246])). 22.62/3.18 tff(f3713,plain,( 22.62/3.18 spl30_384 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_384])])). 22.62/3.18 tff(f3716,plain,( 22.62/3.18 spl30_385 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(sK13,X6))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_385])])). 22.62/3.18 tff(f3706,plain,( 22.62/3.18 ( ! [X3:map_int_int] : ($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_107), 22.62/3.18 inference(superposition,[],[f391,f1253])). 22.62/3.18 tff(f3730,plain,( 22.62/3.18 spl30_105 | ~spl30_384 | spl30_385 | spl30_106 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3705,f1252,f1246,f3716,f3713,f1240])). 22.62/3.18 tff(f3705,plain,( 22.62/3.18 ( ! [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_107), 22.62/3.18 inference(superposition,[],[f391,f1253])). 22.62/3.18 tff(f3729,plain,( 22.62/3.18 spl30_106 | spl30_105 | ~spl30_384 | spl30_385 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3704,f1252,f3716,f3713,f1240,f1246])). 22.62/3.18 tff(f3704,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X1)) ) | ~spl30_107), 22.62/3.18 inference(superposition,[],[f391,f1253])). 22.62/3.18 tff(f3728,plain,( 22.62/3.18 ~spl30_384 | spl30_386 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3703,f1252,f3720,f3713])). 22.62/3.18 tff(f3720,plain,( 22.62/3.18 spl30_386 <=> ! [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(X7,sK13) | $less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X7),t2tb1($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))))))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_386])])). 22.62/3.18 tff(f3703,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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)))))))))),1) | ~included1(X0,sK13)) ) | ~spl30_107), 22.62/3.18 inference(superposition,[],[f391,f1253])). 22.62/3.18 tff(f3727,plain,( 22.62/3.18 ~spl30_8 | ~spl30_384 | ~spl30_387 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3702,f1252,f3724,f3713,f596])). 22.62/3.18 tff(f3724,plain,( 22.62/3.18 spl30_387 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_387])])). 22.62/3.18 tff(f3702,plain,( 22.62/3.18 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~valid_values1(sK13) | ~spl30_107), 22.62/3.18 inference(superposition,[],[f362,f1253])). 22.62/3.18 tff(f3726,plain,( 22.62/3.18 ~spl30_384 | ~spl30_387 | ~spl30_8 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3697,f1252,f596,f3724,f3713])). 22.62/3.18 tff(f3697,plain,( 22.62/3.18 ~$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_8 | ~spl30_107)), 22.62/3.18 inference(superposition,[],[f709,f1253])). 22.62/3.18 tff(f3722,plain,( 22.62/3.18 ~spl30_384 | spl30_386 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3695,f1252,f3720,f3713])). 22.62/3.18 tff(f3695,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(X7),t2tb1($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))))))))))) | $less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(X7,sK13)) ) | ~spl30_107), 22.62/3.18 inference(superposition,[],[f1253,f391])). 22.62/3.18 tff(f3718,plain,( 22.62/3.18 ~spl30_384 | spl30_385 | spl30_105 | spl30_106 | ~spl30_107), 22.62/3.18 inference(avatar_split_clause,[],[f3711,f1252,f1246,f1240,f3716,f3713])). 22.62/3.18 tff(f3711,plain,( 22.62/3.18 ( ! [X6: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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~included1(sK13,X6)) ) | ~spl30_107), 22.62/3.18 inference(forward_demodulation,[],[f3710,f1253])). 22.62/3.18 tff(f3710,plain,( 22.62/3.18 ( ! [X6:map_int_int] : ($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(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)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X6)) ) | ~spl30_107), 22.62/3.18 inference(forward_demodulation,[],[f3694,f1253])). 22.62/3.18 tff(f3694,plain,( 22.62/3.18 ( ! [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)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X6)) ) | ~spl30_107), 22.62/3.18 inference(superposition,[],[f1253,f391])). 22.62/3.18 tff(f3688,plain,( 22.62/3.18 ~spl30_377 | spl30_383 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3654,f1500,f3686,f3663])). 22.62/3.18 tff(f3663,plain,( 22.62/3.18 spl30_377 <=> $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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_377])])). 22.62/3.18 tff(f3686,plain,( 22.62/3.18 spl30_383 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~is_index1(X43))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_383])])). 22.62/3.18 tff(f3654,plain,( 22.62/3.18 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)))))) | ~is_index1(X43) | ~$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) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~disjoint_chunks1(X42,X44)) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f461])). 22.62/3.18 tff(f461,plain,( 22.62/3.18 ( ! [X4:$int,X0:array_int,X3:$int,X1:array_int] : (tb2t1(get2(int,t2tb2(X0),X3)) = tb2t1(get2(int,t2tb2(X0),$sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))))) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4)))) | ~disjoint_chunks1(X0,X1)) )), 22.62/3.18 inference(equality_resolution,[],[f381])). 22.62/3.18 tff(f381,plain,( 22.62/3.18 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:array_int] : ($sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2 | tb2t1(get2(int,t2tb2(X0),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2) | ~disjoint_chunks1(X0,X1)) )), 22.62/3.18 inference(cnf_transformation,[],[f189])). 22.62/3.18 tff(f189,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~disjoint_chunks1(X0,X1)) & (disjoint_chunks1(X0,X1) | (sK19(X0,X1) = $sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1)))) & tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK19(X0,X1))) & is_index1(sK20(X0,X1)) & $less(sK21(X0,X1),9) & ~$less(sK21(X0,X1),0) & is_index1(sK19(X0,X1))) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f187,f188])). 22.62/3.18 tff(f188,plain,( 22.62/3.18 ! [X1 : array_int,X0 : array_int] : (? [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(X6) & $less(X7,9) & ~$less(X7,0) & is_index1(X5)) => (sK19(X0,X1) = $sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1)))) & tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK19(X0,X1))) & is_index1(sK20(X0,X1)) & $less(sK21(X0,X1),9) & ~$less(sK21(X0,X1),0) & is_index1(sK19(X0,X1))))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f187,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~disjoint_chunks1(X0,X1)) & (disjoint_chunks1(X0,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(X6) & $less(X7,9) & ~$less(X7,0) & is_index1(X5)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))))), 22.62/3.18 inference(rectify,[],[f186])). 22.62/3.18 tff(f186,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~disjoint_chunks1(X0,X1)) & (disjoint_chunks1(X0,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),X2)) != tb2t1(get2(int,t2tb2(X0),X3)) & is_index1(X3) & $less(X4,9) & ~$less(X4,0) & is_index1(X2)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))))), 22.62/3.18 inference(flattening,[],[f185])). 22.62/3.18 tff(f185,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~disjoint_chunks1(X0,X1)) & (disjoint_chunks1(X0,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),X2)) != tb2t1(get2(int,t2tb2(X0),X3)) & is_index1(X3) & $less(X4,9) & ~$less(X4,0) & is_index1(X2)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0)))))), 22.62/3.18 inference(nnf_transformation,[],[f139])). 22.62/3.18 tff(f139,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3)) | ~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) <=> disjoint_chunks1(X0,X1))), 22.62/3.18 inference(flattening,[],[f138])). 22.62/3.18 tff(f138,plain,( 22.62/3.18 ! [X0 : array_int,X1 : 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),X2)) = tb2t1(get2(int,t2tb2(X0),X3))) | (~is_index1(X3) | ~$less(X4,9) | $less(X4,0) | ~is_index1(X2))) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) <=> disjoint_chunks1(X0,X1))), 22.62/3.18 inference(ennf_transformation,[],[f97])). 22.62/3.18 tff(f97,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : ((! [X2 : $int,X3 : $int,X4 : $int] : ((is_index1(X3) & $less(X4,9) & ~$less(X4,0) & is_index1(X2)) => (tb2t1(get2(int,t2tb2(X0),X2)) != tb2t1(get2(int,t2tb2(X0),X3)) => $sum(tb2t1(get2(int,t2tb2(X0),X3)),tb2t1(get2(int,t2tb2(X1),X4))) != X2)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) <=> disjoint_chunks1(X0,X1))), 22.62/3.18 inference(rectify,[],[f68])). 22.62/3.18 tff(f68,plain,( 22.62/3.18 ! [X10 : array_int,X11 : array_int] : ((! [X12 : $int,X13 : $int,X14 : $int] : ((is_index1(X13) & $less(X14,9) & ~$less(X14,0) & is_index1(X12)) => (tb2t1(get2(int,t2tb2(X10),X13)) != tb2t1(get2(int,t2tb2(X10),X12)) => $sum(tb2t1(get2(int,t2tb2(X10),X13)),tb2t1(get2(int,t2tb2(X11),X14))) != X12)) & length1(int,t2tb2(X11)) = 9 & length1(int,t2tb2(X10)) = 81) <=> disjoint_chunks1(X10,X11))), 22.62/3.18 inference(theory_normalization,[],[f3])). 22.62/3.18 tff(f3,axiom,( 22.62/3.18 ! [X10 : array_int,X11 : array_int] : ((! [X12 : $int,X13 : $int,X14 : $int] : ((is_index1(X13) & $less(X14,9) & $lesseq(0,X14) & is_index1(X12)) => (tb2t1(get2(int,t2tb2(X10),X13)) != tb2t1(get2(int,t2tb2(X10),X12)) => $sum(tb2t1(get2(int,t2tb2(X10),X13)),tb2t1(get2(int,t2tb2(X11),X14))) != X12)) & length1(int,t2tb2(X11)) = 9 & length1(int,t2tb2(X10)) = 81) <=> disjoint_chunks1(X10,X11))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_chunks_def)). 22.62/3.18 tff(f3684,plain,( 22.62/3.18 ~spl30_377 | spl30_382 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3651,f1500,f3681,f3663])). 22.62/3.18 tff(f3681,plain,( 22.62/3.18 spl30_382 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))))) | ~valid_chunk1(X20,X22,X21,X23) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_382])])). 22.62/3.18 tff(f3651,plain,( 22.62/3.18 ( ! [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),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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)))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f440])). 22.62/3.18 tff(f440,plain,( 22.62/3.18 ( ! [X4:$int,X2:array_int,X0:map_int_int,X5:$int,X3:array_int,X1:$int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5 | ~valid_chunk1(X0,X1,X2,X3)) )), 22.62/3.18 inference(cnf_transformation,[],[f214])). 22.62/3.18 tff(f214,plain,( 22.62/3.18 ! [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),X4)))))) != 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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5) | ~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),sK26(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),sK26(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)))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))),1) & ~$less(sK26(X0,X1,X2,X3),0) & $less(sK26(X0,X1,X2,X3),9) & ~$less(sK27(X0,X1,X2,X3),0) & $less(sK27(X0,X1,X2,X3),9) & sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3))))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f212,f213])). 22.62/3.18 tff(f213,plain,( 22.62/3.18 ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(X6,0) & $less(X6,9) & ~$less(X7,0) & $less(X7,9) & X6 != X7) => (tb2t1(get(int,int,t2tb(X0),t2tb1($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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3)))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3)))))))) & ~$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(sK26(X0,X1,X2,X3),0) & $less(sK26(X0,X1,X2,X3),9) & ~$less(sK27(X0,X1,X2,X3),0) & $less(sK27(X0,X1,X2,X3),9) & sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3)))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f212,plain,( 22.62/3.18 ! [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),X4)))))) != 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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5) | ~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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X6)))))),1) & ~$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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7))))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X7)))))),1) & ~$less(X6,0) & $less(X6,9) & ~$less(X7,0) & $less(X7,9) & X6 != X7)))), 22.62/3.18 inference(rectify,[],[f211])). 22.62/3.18 tff(f211,plain,( 22.62/3.18 ! [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),X4)))))) != 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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5) | ~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),X4)))))) = 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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$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(X4,0) & $less(X4,9) & ~$less(X5,0) & $less(X5,9) & X4 != X5)))), 22.62/3.18 inference(nnf_transformation,[],[f158])). 22.62/3.18 tff(f158,plain,( 22.62/3.18 ! [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),X4)))))) != 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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5) <=> valid_chunk1(X0,X1,X2,X3))), 22.62/3.18 inference(flattening,[],[f157])). 22.62/3.18 tff(f157,plain,( 22.62/3.18 ! [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),X4)))))) != 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),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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))) | ($less(X4,0) | ~$less(X4,9) | $less(X5,0) | ~$less(X5,9) | X4 = X5)) <=> valid_chunk1(X0,X1,X2,X3))), 22.62/3.18 inference(ennf_transformation,[],[f119])). 22.62/3.18 tff(f119,plain,( 22.62/3.18 ! [X0 : map_int_int,X1 : $int,X2 : array_int,X3 : array_int] : (! [X4 : $int,X5 : $int] : ((~$less(X4,0) & $less(X4,9) & ~$less(X5,0) & $less(X5,9) & X4 != X5) => ((~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X4))))))) & ~$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),X4)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),X5)))))))) <=> valid_chunk1(X0,X1,X2,X3))), 22.62/3.18 inference(rectify,[],[f74])). 22.62/3.18 tff(f74,plain,( 22.62/3.18 ! [X1 : map_int_int,X2 : $int,X10 : array_int,X11 : array_int] : (! [X38 : $int,X39 : $int] : ((~$less(X38,0) & $less(X38,9) & ~$less(X39,0) & $less(X39,9) & X38 != X39) => ((~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))),1) & ~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38))))))) & ~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39))))))) & ~$less(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))),1)) => tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))))) <=> valid_chunk1(X1,X2,X10,X11))), 22.62/3.18 inference(theory_normalization,[],[f57])). 22.62/3.18 tff(f57,axiom,( 22.62/3.18 ! [X1 : map_int_int,X2 : $int,X10 : array_int,X11 : array_int] : (! [X38 : $int,X39 : $int] : (($lesseq(0,X38) & $less(X38,9) & $lesseq(0,X39) & $less(X39,9) & X38 != X39) => (($lesseq(1,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38))))))) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))),9) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))),9) & $lesseq(1,tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) => tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))))) <=> valid_chunk1(X1,X2,X10,X11))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_chunk_def)). 22.62/3.18 tff(f3683,plain,( 22.62/3.18 ~spl30_377 | spl30_382 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3650,f1500,f3681,f3663])). 22.62/3.18 tff(f3650,plain,( 22.62/3.18 ( ! [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),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) | ~$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) | $less(X24,0) | ~$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 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f440])). 22.62/3.18 tff(f3679,plain,( 22.62/3.18 spl30_379 | spl30_381 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3649,f1500,f3677,f3670])). 22.62/3.18 tff(f3670,plain,( 22.62/3.18 spl30_379 <=> $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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_379])])). 22.62/3.18 tff(f3677,plain,( 22.62/3.18 spl30_381 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_381])])). 22.62/3.18 tff(f3649,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f425])). 22.62/3.18 tff(f425,plain,( 22.62/3.18 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (grid_eq_sub1(X0,X1,X2,X3) | $less(X2,0) | $less(X3,0) | ~grid_eq_sub1(X0,X1,0,81) | $less(81,X3) | $less(81,X2)) )), 22.62/3.18 inference(cnf_transformation,[],[f154])). 22.62/3.18 tff(f154,plain,( 22.62/3.18 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (grid_eq_sub1(X0,X1,X2,X3) | $less(X2,0) | $less(X3,0) | ~grid_eq_sub1(X0,X1,0,81) | $less(81,X3) | $less(81,X2))), 22.62/3.18 inference(flattening,[],[f153])). 22.62/3.18 tff(f153,plain,( 22.62/3.18 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (grid_eq_sub1(X0,X1,X2,X3) | ($less(X2,0) | $less(X3,0) | ~grid_eq_sub1(X0,X1,0,81) | $less(81,X3) | $less(81,X2)))), 22.62/3.18 inference(ennf_transformation,[],[f117])). 22.62/3.18 tff(f117,plain,( 22.62/3.18 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((~$less(X2,0) & ~$less(X3,0) & grid_eq_sub1(X0,X1,0,81) & ~$less(81,X3) & ~$less(81,X2)) => grid_eq_sub1(X0,X1,X2,X3))), 22.62/3.18 inference(rectify,[],[f72])). 22.62/3.18 tff(f72,plain,( 22.62/3.18 ! [X31 : map_int_int,X41 : map_int_int,X16 : $int,X17 : $int] : ((~$less(X16,0) & ~$less(X17,0) & grid_eq_sub1(X31,X41,0,81) & ~$less(81,X17) & ~$less(81,X16)) => grid_eq_sub1(X31,X41,X16,X17))), 22.62/3.18 inference(theory_normalization,[],[f26])). 22.62/3.18 tff(f26,axiom,( 22.62/3.18 ! [X31 : map_int_int,X41 : map_int_int,X16 : $int,X17 : $int] : (($lesseq(0,X16) & $lesseq(0,X17) & grid_eq_sub1(X31,X41,0,81) & $lesseq(X17,81) & $lesseq(X16,81)) => grid_eq_sub1(X31,X41,X16,X17))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grid_eq_sub)). 22.62/3.18 tff(f3675,plain,( 22.62/3.18 spl30_379 | spl30_380 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3648,f1500,f3673,f3670])). 22.62/3.18 tff(f3673,plain,( 22.62/3.18 spl30_380 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_380])])). 22.62/3.18 tff(f3648,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $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)) | $less(81,X16)) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f425])). 22.62/3.18 tff(f3668,plain,( 22.62/3.18 ~spl30_377 | spl30_378 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3643,f1500,f3666,f3663])). 22.62/3.18 tff(f3666,plain,( 22.62/3.18 spl30_378 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_378])])). 22.62/3.18 tff(f3643,plain,( 22.62/3.18 ( ! [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) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_139), 22.62/3.18 inference(resolution,[],[f1503,f368])). 22.62/3.18 tff(f368,plain,( 22.62/3.18 ( ! [X4:$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(X5,9) | $less(X5,0) | ~chunk_valid_indexes1(X0,X1)) )), 22.62/3.18 inference(cnf_transformation,[],[f184])). 22.62/3.18 tff(f184,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK17(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK18(X0,X1))))) & is_index1(sK17(X0,X1)) & $less(sK18(X0,X1),9) & ~$less(sK18(X0,X1),0)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) & ((! [X4 : $int,X5 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X1),X5)))) | ~is_index1(X4) | ~$less(X5,9) | $less(X5,0)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f182,f183])). 22.62/3.18 tff(f183,plain,( 22.62/3.18 ! [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) & $less(X3,9) & ~$less(X3,0)) => (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK17(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK18(X0,X1))))) & is_index1(sK17(X0,X1)) & $less(sK18(X0,X1),9) & ~$less(sK18(X0,X1),0)))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f182,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | ? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & $less(X3,9) & ~$less(X3,0)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) & ((! [X4 : $int,X5 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X1),X5)))) | ~is_index1(X4) | ~$less(X5,9) | $less(X5,0)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.62/3.18 inference(rectify,[],[f181])). 22.62/3.18 tff(f181,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | ? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & $less(X3,9) & ~$less(X3,0)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) & ((! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | ~$less(X3,9) | $less(X3,0)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.62/3.18 inference(flattening,[],[f180])). 22.62/3.18 tff(f180,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | (? [X2 : $int,X3 : $int] : (~is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) & is_index1(X2) & $less(X3,9) & ~$less(X3,0)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0)))) & ((! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | ~$less(X3,9) | $less(X3,0)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))) | ~chunk_valid_indexes1(X0,X1)))), 22.62/3.18 inference(nnf_transformation,[],[f137])). 22.62/3.18 tff(f137,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | ~is_index1(X2) | ~$less(X3,9) | $less(X3,0)) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))))), 22.62/3.18 inference(flattening,[],[f136])). 22.62/3.18 tff(f136,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (! [X2 : $int,X3 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3)))) | (~is_index1(X2) | ~$less(X3,9) | $less(X3,0))) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))))), 22.62/3.18 inference(ennf_transformation,[],[f96])). 22.62/3.18 tff(f96,plain,( 22.62/3.18 ! [X0 : array_int,X1 : array_int] : (chunk_valid_indexes1(X0,X1) <=> (! [X2 : $int,X3 : $int] : ((is_index1(X2) & $less(X3,9) & ~$less(X3,0)) => is_index1($sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),X3))))) & 9 = length1(int,t2tb2(X1)) & 81 = length1(int,t2tb2(X0))))), 22.62/3.18 inference(rectify,[],[f67])). 22.62/3.18 tff(f67,plain,( 22.62/3.18 ! [X10 : array_int,X11 : array_int] : (chunk_valid_indexes1(X10,X11) <=> (! [X2 : $int,X14 : $int] : ((is_index1(X2) & $less(X14,9) & ~$less(X14,0)) => is_index1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X14))))) & length1(int,t2tb2(X11)) = 9 & length1(int,t2tb2(X10)) = 81))), 22.62/3.18 inference(theory_normalization,[],[f23])). 22.62/3.18 tff(f23,axiom,( 22.62/3.18 ! [X10 : array_int,X11 : array_int] : (chunk_valid_indexes1(X10,X11) <=> (! [X2 : $int,X14 : $int] : ((is_index1(X2) & $less(X14,9) & $lesseq(0,X14)) => is_index1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X14))))) & length1(int,t2tb2(X11)) = 9 & length1(int,t2tb2(X10)) = 81))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chunk_valid_indexes_def)). 22.62/3.18 tff(f3661,plain,( 22.62/3.18 ~spl30_376 | spl30_259 | spl30_139), 22.62/3.18 inference(avatar_split_clause,[],[f3642,f1500,f2636,f3658])). 22.62/3.18 tff(f3658,plain,( 22.62/3.18 spl30_376 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_376])])). 22.62/3.18 tff(f2636,plain,( 22.62/3.18 spl30_259 <=> is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_259])])). 22.62/3.18 tff(f3642,plain,( 22.62/3.18 is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) | ~$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), 22.62/3.18 inference(resolution,[],[f1503,f356])). 22.62/3.18 tff(f356,plain,( 22.62/3.18 ( ! [X0:$int] : (is_index1(X0) | $less(X0,0) | ~$less(X0,81)) )), 22.62/3.18 inference(cnf_transformation,[],[f175])). 22.62/3.18 tff(f3608,plain,( 22.62/3.18 spl30_126 | spl30_125 | ~spl30_373 | spl30_375 | spl30_126), 22.62/3.18 inference(avatar_split_clause,[],[f3593,f1368,f3606,f3597,f1362,f1368])). 22.62/3.18 tff(f3597,plain,( 22.62/3.18 spl30_373 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_373])])). 22.62/3.18 tff(f3606,plain,( 22.62/3.18 spl30_375 <=> ! [X6 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X6))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_375])])). 22.62/3.18 tff(f3593,plain,( 22.62/3.18 ( ! [X6:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~is_index1($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,X6)) ) | spl30_126), 22.62/3.18 inference(superposition,[],[f1369,f391])). 22.62/3.18 tff(f3602,plain,( 22.62/3.18 spl30_125 | ~spl30_373 | spl30_374 | spl30_126), 22.62/3.18 inference(avatar_split_clause,[],[f3588,f1368,f3600,f3597,f1362])). 22.62/3.18 tff(f3600,plain,( 22.62/3.18 spl30_374 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_374])])). 22.62/3.18 tff(f3588,plain,( 22.62/3.18 ( ! [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_126), 22.62/3.18 inference(resolution,[],[f1369,f391])). 22.62/3.18 tff(f3587,plain,( 22.62/3.18 spl30_116 | spl30_115 | ~spl30_370 | spl30_372 | spl30_116), 22.62/3.18 inference(avatar_split_clause,[],[f3572,f1307,f3585,f3576,f1301,f1307])). 22.62/3.18 tff(f3576,plain,( 22.62/3.18 spl30_370 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_370])])). 22.62/3.18 tff(f3585,plain,( 22.62/3.18 spl30_372 <=> ! [X6 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X6))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_372])])). 22.62/3.18 tff(f3572,plain,( 22.62/3.18 ( ! [X6:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~is_index1($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,X6)) ) | spl30_116), 22.62/3.18 inference(superposition,[],[f1308,f391])). 22.62/3.18 tff(f3581,plain,( 22.62/3.18 spl30_115 | ~spl30_370 | spl30_371 | spl30_116), 22.62/3.18 inference(avatar_split_clause,[],[f3567,f1307,f3579,f3576,f1301])). 22.62/3.18 tff(f3579,plain,( 22.62/3.18 spl30_371 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_371])])). 22.62/3.18 tff(f3567,plain,( 22.62/3.18 ( ! [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)),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_116), 22.62/3.18 inference(resolution,[],[f1308,f391])). 22.62/3.18 tff(f3566,plain,( 22.62/3.18 spl30_106 | spl30_105 | ~spl30_367 | spl30_369 | spl30_106), 22.62/3.18 inference(avatar_split_clause,[],[f3551,f1246,f3564,f3555,f1240,f1246])). 22.62/3.18 tff(f3555,plain,( 22.62/3.18 spl30_367 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_367])])). 22.62/3.18 tff(f3564,plain,( 22.62/3.18 spl30_369 <=> ! [X6 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X6))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_369])])). 22.62/3.18 tff(f3551,plain,( 22.62/3.18 ( ! [X6:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~is_index1($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,X6)) ) | spl30_106), 22.62/3.18 inference(superposition,[],[f1247,f391])). 22.62/3.18 tff(f3560,plain,( 22.62/3.18 spl30_105 | ~spl30_367 | spl30_368 | spl30_106), 22.62/3.18 inference(avatar_split_clause,[],[f3546,f1246,f3558,f3555,f1240])). 22.62/3.18 tff(f3558,plain,( 22.62/3.18 spl30_368 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_368])])). 22.62/3.18 tff(f3546,plain,( 22.62/3.18 ( ! [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_106), 22.62/3.18 inference(resolution,[],[f1247,f391])). 22.62/3.18 tff(f3535,plain,( 22.62/3.18 ~spl30_10 | ~spl30_2 | spl30_366 | ~spl30_333), 22.62/3.18 inference(avatar_split_clause,[],[f3521,f3194,f3533,f578,f602])). 22.62/3.18 tff(f3533,plain,( 22.62/3.18 spl30_366 <=> ! [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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_366])])). 22.62/3.18 tff(f3521,plain,( 22.62/3.18 ( ! [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_333), 22.62/3.18 inference(resolution,[],[f3195,f365])). 22.62/3.18 tff(f3510,plain,( 22.62/3.18 ~spl30_10 | ~spl30_7 | spl30_365 | ~spl30_332), 22.62/3.18 inference(avatar_split_clause,[],[f3496,f3189,f3508,f593,f602])). 22.62/3.18 tff(f3508,plain,( 22.62/3.18 spl30_365 <=> ! [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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_365])])). 22.62/3.18 tff(f3496,plain,( 22.62/3.18 ( ! [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_332), 22.62/3.18 inference(resolution,[],[f3190,f365])). 22.62/3.18 tff(f3485,plain,( 22.62/3.18 ~spl30_10 | ~spl30_4 | spl30_364 | ~spl30_331), 22.62/3.18 inference(avatar_split_clause,[],[f3471,f3184,f3483,f584,f602])). 22.62/3.18 tff(f3483,plain,( 22.62/3.18 spl30_364 <=> ! [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)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_364])])). 22.62/3.18 tff(f3471,plain,( 22.62/3.18 ( ! [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_331), 22.62/3.18 inference(resolution,[],[f3185,f365])). 22.62/3.18 tff(f3468,plain,( 22.62/3.18 spl30_361 | spl30_363 | spl30_122), 22.62/3.18 inference(avatar_split_clause,[],[f3443,f1344,f3466,f3459])). 22.62/3.18 tff(f3459,plain,( 22.62/3.18 spl30_361 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_361])])). 22.62/3.18 tff(f3466,plain,( 22.62/3.18 spl30_363 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_363])])). 22.62/3.18 tff(f3443,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))) ) | spl30_122), 22.62/3.18 inference(resolution,[],[f1345,f425])). 22.62/3.18 tff(f3464,plain,( 22.62/3.18 spl30_361 | spl30_362 | spl30_122), 22.62/3.18 inference(avatar_split_clause,[],[f3442,f1344,f3462,f3459])). 22.62/3.18 tff(f3462,plain,( 22.62/3.18 spl30_362 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_362])])). 22.62/3.18 tff(f3442,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(81,X16)) ) | spl30_122), 22.62/3.18 inference(resolution,[],[f1345,f425])). 22.62/3.18 tff(f3457,plain,( 22.62/3.18 ~spl30_359 | spl30_360 | spl30_122), 22.62/3.18 inference(avatar_split_clause,[],[f3436,f1344,f3455,f3452])). 22.62/3.18 tff(f3452,plain,( 22.62/3.18 spl30_359 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_359])])). 22.62/3.18 tff(f3436,plain,( 22.62/3.18 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | spl30_122), 22.62/3.18 inference(resolution,[],[f1345,f356])). 22.62/3.18 tff(f3435,plain,( 22.62/3.18 spl30_356 | spl30_358 | spl30_120), 22.62/3.18 inference(avatar_split_clause,[],[f3410,f1336,f3433,f3426])). 22.62/3.18 tff(f3426,plain,( 22.62/3.18 spl30_356 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_356])])). 22.62/3.18 tff(f3433,plain,( 22.62/3.18 spl30_358 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_358])])). 22.62/3.18 tff(f3410,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))) ) | spl30_120), 22.62/3.18 inference(resolution,[],[f1337,f425])). 22.62/3.18 tff(f3431,plain,( 22.62/3.18 spl30_356 | spl30_357 | spl30_120), 22.62/3.18 inference(avatar_split_clause,[],[f3409,f1336,f3429,f3426])). 22.62/3.18 tff(f3429,plain,( 22.62/3.18 spl30_357 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_357])])). 22.62/3.18 tff(f3409,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(81,X16)) ) | spl30_120), 22.62/3.18 inference(resolution,[],[f1337,f425])). 22.62/3.18 tff(f3424,plain,( 22.62/3.18 ~spl30_354 | spl30_355 | spl30_120), 22.62/3.18 inference(avatar_split_clause,[],[f3403,f1336,f3422,f3419])). 22.62/3.18 tff(f3419,plain,( 22.62/3.18 spl30_354 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_354])])). 22.62/3.18 tff(f3403,plain,( 22.62/3.18 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | spl30_120), 22.62/3.18 inference(resolution,[],[f1337,f356])). 22.62/3.18 tff(f3402,plain,( 22.62/3.18 spl30_351 | spl30_353 | spl30_112), 22.62/3.18 inference(avatar_split_clause,[],[f3377,f1283,f3400,f3393])). 22.62/3.18 tff(f3393,plain,( 22.62/3.18 spl30_351 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_351])])). 22.62/3.18 tff(f3400,plain,( 22.62/3.18 spl30_353 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_353])])). 22.62/3.18 tff(f3377,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | spl30_112), 22.62/3.18 inference(resolution,[],[f1284,f425])). 22.62/3.18 tff(f3398,plain,( 22.62/3.18 spl30_351 | spl30_352 | spl30_112), 22.62/3.18 inference(avatar_split_clause,[],[f3376,f1283,f3396,f3393])). 22.62/3.18 tff(f3396,plain,( 22.62/3.18 spl30_352 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_352])])). 22.62/3.18 tff(f3376,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(81,X16)) ) | spl30_112), 22.62/3.18 inference(resolution,[],[f1284,f425])). 22.62/3.18 tff(f3391,plain,( 22.62/3.18 ~spl30_349 | spl30_350 | spl30_112), 22.62/3.18 inference(avatar_split_clause,[],[f3370,f1283,f3389,f3386])). 22.62/3.18 tff(f3386,plain,( 22.62/3.18 spl30_349 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_349])])). 22.62/3.18 tff(f3370,plain,( 22.62/3.18 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | spl30_112), 22.62/3.18 inference(resolution,[],[f1284,f356])). 22.62/3.18 tff(f3369,plain,( 22.62/3.18 spl30_346 | spl30_348 | spl30_110), 22.62/3.18 inference(avatar_split_clause,[],[f3344,f1275,f3367,f3360])). 22.62/3.18 tff(f3360,plain,( 22.62/3.18 spl30_346 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_346])])). 22.62/3.18 tff(f3367,plain,( 22.62/3.18 spl30_348 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_348])])). 22.62/3.18 tff(f3344,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) ) | spl30_110), 22.62/3.18 inference(resolution,[],[f1276,f425])). 22.62/3.18 tff(f3365,plain,( 22.62/3.18 spl30_346 | spl30_347 | spl30_110), 22.62/3.18 inference(avatar_split_clause,[],[f3343,f1275,f3363,f3360])). 22.62/3.18 tff(f3363,plain,( 22.62/3.18 spl30_347 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_347])])). 22.62/3.18 tff(f3343,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(81,X16)) ) | spl30_110), 22.62/3.18 inference(resolution,[],[f1276,f425])). 22.62/3.18 tff(f3358,plain,( 22.62/3.18 ~spl30_344 | spl30_345 | spl30_110), 22.62/3.18 inference(avatar_split_clause,[],[f3337,f1275,f3356,f3353])). 22.62/3.18 tff(f3353,plain,( 22.62/3.18 spl30_344 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_344])])). 22.62/3.18 tff(f3337,plain,( 22.62/3.18 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | spl30_110), 22.62/3.18 inference(resolution,[],[f1276,f356])). 22.62/3.18 tff(f3336,plain,( 22.62/3.18 spl30_341 | spl30_343 | spl30_102), 22.62/3.18 inference(avatar_split_clause,[],[f3311,f1222,f3334,f3327])). 22.62/3.18 tff(f3327,plain,( 22.62/3.18 spl30_341 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_341])])). 22.62/3.18 tff(f3334,plain,( 22.62/3.18 spl30_343 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_343])])). 22.62/3.18 tff(f3311,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))) ) | spl30_102), 22.62/3.18 inference(resolution,[],[f1223,f425])). 22.62/3.18 tff(f3332,plain,( 22.62/3.18 spl30_341 | spl30_342 | spl30_102), 22.62/3.18 inference(avatar_split_clause,[],[f3310,f1222,f3330,f3327])). 22.62/3.18 tff(f3330,plain,( 22.62/3.18 spl30_342 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_342])])). 22.62/3.18 tff(f3310,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(81,X16)) ) | spl30_102), 22.62/3.18 inference(resolution,[],[f1223,f425])). 22.62/3.18 tff(f3325,plain,( 22.62/3.18 ~spl30_339 | spl30_340 | spl30_102), 22.62/3.18 inference(avatar_split_clause,[],[f3304,f1222,f3323,f3320])). 22.62/3.18 tff(f3320,plain,( 22.62/3.18 spl30_339 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_339])])). 22.62/3.18 tff(f3304,plain,( 22.62/3.18 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | spl30_102), 22.62/3.18 inference(resolution,[],[f1223,f356])). 22.62/3.18 tff(f3303,plain,( 22.62/3.18 spl30_336 | spl30_338 | spl30_100), 22.62/3.18 inference(avatar_split_clause,[],[f3278,f1214,f3301,f3294])). 22.62/3.18 tff(f3294,plain,( 22.62/3.18 spl30_336 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_336])])). 22.62/3.18 tff(f3301,plain,( 22.62/3.18 spl30_338 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_338])])). 22.62/3.18 tff(f3278,plain,( 22.62/3.18 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))) ) | spl30_100), 22.62/3.18 inference(resolution,[],[f1215,f425])). 22.62/3.18 tff(f3299,plain,( 22.62/3.18 spl30_336 | spl30_337 | spl30_100), 22.62/3.18 inference(avatar_split_clause,[],[f3277,f1214,f3297,f3294])). 22.62/3.18 tff(f3297,plain,( 22.62/3.18 spl30_337 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_337])])). 22.62/3.18 tff(f3277,plain,( 22.62/3.18 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(81,X16)) ) | spl30_100), 22.62/3.18 inference(resolution,[],[f1215,f425])). 22.62/3.18 tff(f3292,plain,( 22.62/3.18 ~spl30_334 | spl30_335 | spl30_100), 22.62/3.18 inference(avatar_split_clause,[],[f3271,f1214,f3290,f3287])). 22.62/3.18 tff(f3287,plain,( 22.62/3.18 spl30_334 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_334])])). 22.62/3.18 tff(f3271,plain,( 22.62/3.18 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | spl30_100), 22.62/3.18 inference(resolution,[],[f1215,f356])). 22.62/3.18 tff(f3196,plain,( 22.62/3.18 ~spl30_10 | ~spl30_2 | spl30_333 | spl30_3), 22.62/3.18 inference(avatar_split_clause,[],[f1194,f581,f3194,f578,f602])). 22.62/3.18 tff(f1194,plain,( 22.62/3.18 ( ! [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_3), 22.62/3.18 inference(resolution,[],[f582,f365])). 22.62/3.18 tff(f3191,plain,( 22.62/3.18 ~spl30_10 | ~spl30_7 | spl30_332 | spl30_6), 22.62/3.18 inference(avatar_split_clause,[],[f1255,f590,f3189,f593,f602])). 22.62/3.18 tff(f1255,plain,( 22.62/3.18 ( ! [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_6), 22.62/3.18 inference(resolution,[],[f591,f365])). 22.62/3.18 tff(f3186,plain,( 22.62/3.18 ~spl30_10 | ~spl30_4 | spl30_331 | spl30_9), 22.62/3.18 inference(avatar_split_clause,[],[f1316,f599,f3184,f584,f602])). 22.62/3.18 tff(f1316,plain,( 22.62/3.18 ( ! [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_9), 22.62/3.18 inference(resolution,[],[f600,f365])). 22.62/3.18 tff(f3178,plain,( 22.62/3.18 ~spl30_12 | ~spl30_267 | spl30_158), 22.62/3.18 inference(avatar_split_clause,[],[f3118,f1603,f2693,f608])). 22.62/3.18 tff(f2693,plain,( 22.62/3.18 spl30_267 <=> 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,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_267])])). 22.62/3.18 tff(f3118,plain,( 22.62/3.18 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1604,f385])). 22.62/3.18 tff(f3177,plain,( 22.62/3.18 ~spl30_12 | ~spl30_267 | spl30_159), 22.62/3.18 inference(avatar_split_clause,[],[f3136,f1606,f2693,f608])). 22.62/3.18 tff(f3136,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1607,f384])). 22.62/3.18 tff(f3176,plain,( 22.62/3.18 ~spl30_330 | spl30_139 | ~spl30_13 | spl30_140), 22.62/3.18 inference(avatar_split_clause,[],[f3075,f1506,f612,f1500,f3170])). 22.62/3.18 tff(f3170,plain,( 22.62/3.18 spl30_330 <=> $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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_330])])). 22.62/3.18 tff(f3075,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_13 | spl30_140)), 22.62/3.18 inference(resolution,[],[f1507,f2772])). 22.62/3.18 tff(f2772,plain,( 22.62/3.18 ( ! [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_13), 22.62/3.18 inference(resolution,[],[f613,f417])). 22.62/3.18 tff(f3175,plain,( 22.62/3.18 spl30_329 | spl30_139 | spl30_140), 22.62/3.18 inference(avatar_split_clause,[],[f3076,f1506,f1500,f3166])). 22.62/3.18 tff(f3166,plain,( 22.62/3.18 spl30_329 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_329])])). 22.62/3.18 tff(f3076,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(resolution,[],[f1507,f417])). 22.62/3.18 tff(f3174,plain,( 22.62/3.18 ~spl30_330 | spl30_139 | ~spl30_13 | spl30_141), 22.62/3.18 inference(avatar_split_clause,[],[f3087,f1509,f612,f1500,f3170])). 22.62/3.18 tff(f3087,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_13 | spl30_141)), 22.62/3.18 inference(resolution,[],[f1510,f2773])). 22.62/3.18 tff(f2773,plain,( 22.62/3.18 ( ! [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_13), 22.62/3.18 inference(resolution,[],[f613,f418])). 22.62/3.18 tff(f3173,plain,( 22.62/3.18 spl30_329 | spl30_139 | spl30_141), 22.62/3.18 inference(avatar_split_clause,[],[f3088,f1509,f1500,f3166])). 22.62/3.18 tff(f3088,plain,( 22.62/3.18 ( ! [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_141), 22.62/3.18 inference(resolution,[],[f1510,f418])). 22.62/3.18 tff(f3172,plain,( 22.62/3.18 ~spl30_330 | spl30_139 | ~spl30_13 | spl30_142), 22.62/3.18 inference(avatar_split_clause,[],[f3097,f1512,f612,f1500,f3170])). 22.62/3.18 tff(f3097,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_13 | spl30_142)), 22.62/3.18 inference(resolution,[],[f1513,f2774])). 22.62/3.18 tff(f2774,plain,( 22.62/3.18 ( ! [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_13), 22.62/3.18 inference(resolution,[],[f613,f419])). 22.62/3.18 tff(f3168,plain,( 22.62/3.18 spl30_329 | spl30_139 | spl30_142), 22.62/3.18 inference(avatar_split_clause,[],[f3098,f1512,f1500,f3166])). 22.62/3.18 tff(f3098,plain,( 22.62/3.18 ( ! [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_142), 22.62/3.18 inference(resolution,[],[f1513,f419])). 22.62/3.18 tff(f3164,plain,( 22.62/3.18 ~spl30_12 | ~spl30_132 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f2758,f1474,f1467,f608])). 22.62/3.18 tff(f1467,plain,( 22.62/3.18 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 22.62/3.18 tff(f2758,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1475,f385])). 22.62/3.18 tff(f3163,plain,( 22.62/3.18 ~spl30_12 | ~spl30_132 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f2741,f1471,f1467,f608])). 22.62/3.18 tff(f2741,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1472,f384])). 22.62/3.18 tff(f3162,plain,( 22.62/3.18 ~spl30_12 | ~spl30_132 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f3052,f1471,f1467,f608])). 22.62/3.18 tff(f3052,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1472,f384])). 22.62/3.18 tff(f3161,plain,( 22.62/3.18 ~spl30_12 | ~spl30_132 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f3062,f1474,f1467,f608])). 22.62/3.18 tff(f3062,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1475,f385])). 22.62/3.18 tff(f3160,plain,( 22.62/3.18 ~spl30_12 | ~spl30_132 | spl30_135), 22.62/3.18 inference(avatar_split_clause,[],[f3068,f1477,f1467,f608])). 22.62/3.18 tff(f3068,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1478,f386])). 22.62/3.18 tff(f3158,plain,( 22.62/3.18 ~spl30_12 | ~spl30_267 | spl30_160), 22.62/3.18 inference(avatar_split_clause,[],[f3148,f1609,f2693,f608])). 22.62/3.18 tff(f3148,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1610,f386])). 22.62/3.18 tff(f3156,plain,( 22.62/3.18 ~spl30_328 | spl30_160), 22.62/3.18 inference(avatar_split_clause,[],[f3152,f1609,f3154])). 22.62/3.18 tff(f3154,plain,( 22.62/3.18 spl30_328 <=> 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,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_328])])). 22.62/3.18 tff(f3152,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_160), 22.62/3.18 inference(forward_demodulation,[],[f3151,f455])). 22.62/3.18 tff(f3151,plain,( 22.62/3.18 ~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,$sum(sK14,1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_160), 22.62/3.18 inference(forward_demodulation,[],[f3147,f457])). 22.62/3.18 tff(f3147,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1610,f405])). 22.62/3.18 tff(f405,plain,( 22.62/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) )), 22.62/3.18 inference(cnf_transformation,[],[f198])). 22.62/3.18 tff(f3150,plain,( 22.62/3.18 spl30_325 | spl30_157 | spl30_160), 22.62/3.18 inference(avatar_split_clause,[],[f3146,f1609,f1599,f3124])). 22.62/3.18 tff(f3124,plain,( 22.62/3.18 spl30_325 <=> ! [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,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_325])])). 22.62/3.18 tff(f3146,plain,( 22.62/3.18 ( ! [X0:$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), 22.62/3.18 inference(resolution,[],[f1610,f419])). 22.62/3.18 tff(f3149,plain,( 22.62/3.18 ~spl30_324 | spl30_157 | ~spl30_13 | spl30_160), 22.62/3.18 inference(avatar_split_clause,[],[f3145,f1609,f612,f1599,f3120])). 22.62/3.18 tff(f3120,plain,( 22.62/3.18 spl30_324 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_324])])). 22.62/3.18 tff(f3145,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_13 | spl30_160)), 22.62/3.18 inference(resolution,[],[f1610,f2774])). 22.62/3.18 tff(f3144,plain,( 22.62/3.18 ~spl30_327 | spl30_159), 22.62/3.18 inference(avatar_split_clause,[],[f3140,f1606,f3142])). 22.62/3.18 tff(f3142,plain,( 22.62/3.18 spl30_327 <=> 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,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_327])])). 22.62/3.18 tff(f3140,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_159), 22.62/3.18 inference(forward_demodulation,[],[f3139,f456])). 22.62/3.18 tff(f3139,plain,( 22.62/3.18 ~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,$sum(sK14,1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_159), 22.62/3.18 inference(forward_demodulation,[],[f3135,f454])). 22.62/3.18 tff(f3135,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1607,f406])). 22.62/3.18 tff(f406,plain,( 22.62/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))) )), 22.62/3.18 inference(cnf_transformation,[],[f199])). 22.62/3.18 tff(f3138,plain,( 22.62/3.18 spl30_325 | spl30_157 | spl30_159), 22.62/3.18 inference(avatar_split_clause,[],[f3134,f1606,f1599,f3124])). 22.62/3.18 tff(f3134,plain,( 22.62/3.18 ( ! [X0:$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), 22.62/3.18 inference(resolution,[],[f1607,f418])). 22.62/3.18 tff(f3137,plain,( 22.62/3.18 ~spl30_324 | spl30_157 | ~spl30_13 | spl30_159), 22.62/3.18 inference(avatar_split_clause,[],[f3133,f1606,f612,f1599,f3120])). 22.62/3.18 tff(f3133,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_13 | spl30_159)), 22.62/3.18 inference(resolution,[],[f1607,f2773])). 22.62/3.18 tff(f3132,plain,( 22.62/3.18 ~spl30_326 | spl30_158), 22.62/3.18 inference(avatar_split_clause,[],[f3128,f1603,f3130])). 22.62/3.18 tff(f3130,plain,( 22.62/3.18 spl30_326 <=> 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,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_326])])). 22.62/3.18 tff(f3128,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_158), 22.62/3.18 inference(forward_demodulation,[],[f3127,f458])). 22.62/3.18 tff(f3127,plain,( 22.62/3.18 ~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,$sum(sK14,1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_158), 22.62/3.18 inference(forward_demodulation,[],[f3117,f459])). 22.62/3.18 tff(f3117,plain,( 22.62/3.18 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1604,f408])). 22.62/3.18 tff(f408,plain,( 22.62/3.18 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))) )), 22.62/3.18 inference(cnf_transformation,[],[f200])). 22.62/3.18 tff(f3126,plain,( 22.62/3.18 spl30_325 | spl30_157 | spl30_158), 22.62/3.18 inference(avatar_split_clause,[],[f3116,f1603,f1599,f3124])). 22.62/3.18 tff(f3116,plain,( 22.62/3.18 ( ! [X0:$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), 22.62/3.18 inference(resolution,[],[f1604,f417])). 22.62/3.18 tff(f3122,plain,( 22.62/3.18 ~spl30_324 | spl30_157 | ~spl30_13 | spl30_158), 22.62/3.18 inference(avatar_split_clause,[],[f3115,f1603,f612,f1599,f3120])). 22.62/3.18 tff(f3115,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_13 | spl30_158)), 22.62/3.18 inference(resolution,[],[f1604,f2772])). 22.62/3.18 tff(f3114,plain,( 22.62/3.18 ~spl30_22 | spl30_323 | ~spl30_22), 22.62/3.18 inference(avatar_split_clause,[],[f3108,f691,f3112,f691])). 22.62/3.18 tff(f3112,plain,( 22.62/3.18 spl30_323 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_323])])). 22.62/3.18 tff(f3108,plain,( 22.62/3.18 ( ! [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_22), 22.62/3.18 inference(resolution,[],[f1426,f403])). 22.62/3.18 tff(f403,plain,( 22.62/3.18 ( ! [X2:map_int_int,X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)) )), 22.62/3.18 inference(cnf_transformation,[],[f149])). 22.62/3.18 tff(f149,plain,( 22.62/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0))), 22.62/3.18 inference(flattening,[],[f148])). 22.62/3.18 tff(f148,plain,( 22.62/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | (~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)))), 22.62/3.18 inference(ennf_transformation,[],[f110])). 22.62/3.18 tff(f110,plain,( 22.62/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : ((included1(X1,X2) & valid1(X0,X2) & well_formed_sudoku1(X0)) => valid1(X0,X1))), 22.62/3.18 inference(rectify,[],[f62])). 22.62/3.18 tff(f62,axiom,( 22.62/3.18 ! [X0 : sudoku_chunks1,X1 : map_int_int,X47 : map_int_int] : ((included1(X1,X47) & valid1(X0,X47) & well_formed_sudoku1(X0)) => valid1(X0,X1))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_valid)). 22.62/3.18 tff(f1426,plain,( 22.62/3.18 ( ! [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_22), 22.62/3.18 inference(resolution,[],[f692,f403])). 22.62/3.18 tff(f3106,plain,( 22.62/3.18 ~spl30_322 | spl30_142), 22.62/3.18 inference(avatar_split_clause,[],[f3102,f1512,f3104])). 22.62/3.18 tff(f3104,plain,( 22.62/3.18 spl30_322 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_322])])). 22.62/3.18 tff(f3102,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3101,f455])). 22.62/3.18 tff(f3101,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3099,f457])). 22.62/3.18 tff(f3099,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1513,f405])). 22.62/3.18 tff(f3096,plain,( 22.62/3.18 ~spl30_321 | spl30_141), 22.62/3.18 inference(avatar_split_clause,[],[f3092,f1509,f3094])). 22.62/3.18 tff(f3094,plain,( 22.62/3.18 spl30_321 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_321])])). 22.62/3.18 tff(f3092,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3091,f456])). 22.62/3.18 tff(f3091,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3089,f454])). 22.62/3.18 tff(f3089,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1510,f406])). 22.62/3.18 tff(f3084,plain,( 22.62/3.18 ~spl30_320 | spl30_140), 22.62/3.18 inference(avatar_split_clause,[],[f3080,f1506,f3082])). 22.62/3.18 tff(f3082,plain,( 22.62/3.18 spl30_320 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_320])])). 22.62/3.18 tff(f3080,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3079,f458])). 22.62/3.18 tff(f3079,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3077,f459])). 22.62/3.18 tff(f3077,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1507,f408])). 22.62/3.18 tff(f3074,plain,( 22.62/3.18 ~spl30_319 | spl30_135), 22.62/3.18 inference(avatar_split_clause,[],[f3070,f1477,f3072])). 22.62/3.18 tff(f3072,plain,( 22.62/3.18 spl30_319 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_319])])). 22.62/3.18 tff(f3070,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3069,f455])). 22.62/3.18 tff(f3069,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f3067,f457])). 22.62/3.18 tff(f3067,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1478,f405])). 22.62/3.18 tff(f3056,plain,( 22.62/3.18 ~spl30_318 | spl30_254 | ~spl30_13 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f3049,f1471,f612,f2556,f3054])). 22.62/3.18 tff(f3054,plain,( 22.62/3.18 spl30_318 <=> $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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_318])])). 22.62/3.18 tff(f2556,plain,( 22.62/3.18 spl30_254 <=> $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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_254])])). 22.62/3.18 tff(f3049,plain,( 22.62/3.18 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_13 | spl30_133)), 22.62/3.18 inference(resolution,[],[f1472,f2773])). 22.62/3.18 tff(f3033,plain,( 22.62/3.18 spl30_157 | spl30_317 | ~spl30_156), 22.62/3.18 inference(avatar_split_clause,[],[f3015,f1595,f3031,f1599])). 22.62/3.18 tff(f3031,plain,( 22.62/3.18 spl30_317 <=> ! [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)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_317])])). 22.62/3.18 tff(f1595,plain,( 22.62/3.18 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)),$sum(sK14,1))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_156])])). 22.62/3.18 tff(f3015,plain,( 22.62/3.18 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1596,f419])). 22.62/3.18 tff(f1596,plain,( 22.62/3.18 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | ~spl30_156), 22.62/3.18 inference(avatar_component_clause,[],[f1595])). 22.62/3.18 tff(f3029,plain,( 22.62/3.18 spl30_157 | spl30_316 | ~spl30_156), 22.62/3.18 inference(avatar_split_clause,[],[f3014,f1595,f3027,f1599])). 22.62/3.18 tff(f3027,plain,( 22.62/3.18 spl30_316 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X15,X16,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_316])])). 22.62/3.18 tff(f3014,plain,( 22.62/3.18 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,$sum(sK14,1))) ) | ~spl30_156), 22.62/3.18 inference(resolution,[],[f1596,f418])). 22.62/3.18 tff(f3025,plain,( 22.62/3.18 spl30_157 | spl30_315 | ~spl30_156), 22.62/3.18 inference(avatar_split_clause,[],[f3013,f1595,f3023,f1599])). 22.62/3.18 tff(f3023,plain,( 22.62/3.18 spl30_315 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X13,X14,$sum(sK14,1)))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_315])])). 22.62/3.18 tff(f3013,plain,( 22.62/3.18 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.18 inference(resolution,[],[f1596,f417])). 22.62/3.18 tff(f3021,plain,( 22.62/3.18 spl30_157 | spl30_314 | ~spl30_156), 22.62/3.18 inference(avatar_split_clause,[],[f3011,f1595,f3018,f1599])). 22.62/3.18 tff(f3018,plain,( 22.62/3.18 spl30_314 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_314])])). 22.62/3.18 tff(f3011,plain,( 22.62/3.18 ( ! [X6:array_int,X8:array_int,X7:$int,X5:map_int_int,X9:$int] : (tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),X9)))))) != tb2t1(get(int,int,t2tb(X5),t2tb1($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),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) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))) | $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | $less(X9,0) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) = X9 | ~$less(X9,$sum(sK14,1)) | ~valid_chunk_up_to1(X5,X7,X6,X8,$sum(sK14,1))) ) | ~spl30_156), 22.62/3.18 inference(resolution,[],[f1596,f453])). 22.62/3.18 tff(f3020,plain,( 22.62/3.18 spl30_157 | spl30_314 | ~spl30_156), 22.62/3.18 inference(avatar_split_clause,[],[f3010,f1595,f3018,f1599])). 22.62/3.18 tff(f3010,plain,( 22.62/3.18 ( ! [X4:$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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))))))))) | $less(X4,0) | ~$less(X4,$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) | 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,$sum(sK14,1)) = X4 | ~valid_chunk_up_to1(X0,X2,X1,X3,$sum(sK14,1))) ) | ~spl30_156), 22.62/3.18 inference(resolution,[],[f1596,f453])). 22.62/3.18 tff(f3007,plain,( 22.62/3.18 spl30_148 | spl30_15 | spl30_312 | spl30_313 | spl30_14), 22.62/3.18 inference(avatar_split_clause,[],[f3000,f616,f3005,f3002,f620,f1551])). 22.62/3.18 tff(f1551,plain,( 22.62/3.18 spl30_148 <=> $less(81,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_148])])). 22.62/3.18 tff(f3002,plain,( 22.62/3.18 spl30_312 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_312])])). 22.62/3.18 tff(f3005,plain,( 22.62/3.18 spl30_313 <=> ! [X9 : $int] : (~$less(80,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_313])])). 22.62/3.18 tff(f616,plain,( 22.62/3.18 spl30_14 <=> $less(80,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 22.62/3.18 tff(f3000,plain,( 22.62/3.18 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(80,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(80))) = tb2t1(get(int,int,t2tb(X11),t2tb1(80))) | $less(sK14,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,sK14)) ) | spl30_14), 22.62/3.18 inference(resolution,[],[f710,f425])). 22.62/3.18 tff(f710,plain,( 22.62/3.18 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (~grid_eq_sub1(X0,X1,sK14,X2) | ~$less(80,X2) | tb2t1(get(int,int,t2tb(X0),t2tb1(80))) = tb2t1(get(int,int,t2tb(X1),t2tb1(80)))) ) | spl30_14), 22.62/3.18 inference(resolution,[],[f617,f429])). 22.62/3.18 tff(f429,plain,( 22.62/3.18 ( ! [X4:$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)) )), 22.62/3.18 inference(cnf_transformation,[],[f210])). 22.62/3.18 tff(f210,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f208,f209])). 22.62/3.18 tff(f209,plain,( 22.62/3.18 ! [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)))), 22.62/3.18 introduced(choice_axiom,[])). 22.62/3.18 tff(f208,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(rectify,[],[f207])). 22.62/3.18 tff(f207,plain,( 22.62/3.18 ! [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))))), 22.62/3.18 inference(nnf_transformation,[],[f156])). 22.62/3.18 tff(f156,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(flattening,[],[f155])). 22.62/3.18 tff(f155,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(ennf_transformation,[],[f118])). 22.62/3.18 tff(f118,plain,( 22.62/3.18 ! [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))), 22.62/3.18 inference(rectify,[],[f73])). 22.62/3.18 tff(f73,plain,( 22.62/3.18 ! [X31 : map_int_int,X41 : map_int_int,X16 : $int,X17 : $int] : (! [X3 : $int] : (($less(X3,X17) & ~$less(X3,X16)) => tb2t1(get(int,int,t2tb(X31),t2tb1(X3))) = tb2t1(get(int,int,t2tb(X41),t2tb1(X3)))) <=> grid_eq_sub1(X31,X41,X16,X17))), 22.62/3.18 inference(theory_normalization,[],[f32])). 22.62/3.18 tff(f32,axiom,( 22.62/3.18 ! [X31 : map_int_int,X41 : map_int_int,X16 : $int,X17 : $int] : (! [X3 : $int] : (($less(X3,X17) & $lesseq(X16,X3)) => tb2t1(get(int,int,t2tb(X31),t2tb1(X3))) = tb2t1(get(int,int,t2tb(X41),t2tb1(X3)))) <=> grid_eq_sub1(X31,X41,X16,X17))), 22.62/3.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grid_eq_sub_def)). 22.62/3.18 tff(f617,plain,( 22.62/3.18 ~$less(80,sK14) | spl30_14), 22.62/3.18 inference(avatar_component_clause,[],[f616])). 22.62/3.18 tff(f2996,plain,( 22.62/3.18 ~spl30_10 | ~spl30_2 | spl30_311 | ~spl30_145), 22.62/3.18 inference(avatar_split_clause,[],[f2982,f1524,f2994,f578,f602])). 22.62/3.18 tff(f2994,plain,( 22.62/3.18 spl30_311 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_311])])). 22.62/3.18 tff(f1524,plain,( 22.62/3.18 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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 22.62/3.18 tff(f2982,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(resolution,[],[f1525,f365])). 22.62/3.18 tff(f1525,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(avatar_component_clause,[],[f1524])). 22.62/3.18 tff(f2980,plain,( 22.62/3.18 ~spl30_10 | ~spl30_4 | spl30_310 | ~spl30_144), 22.62/3.18 inference(avatar_split_clause,[],[f2966,f1520,f2978,f584,f602])). 22.62/3.18 tff(f2978,plain,( 22.62/3.18 spl30_310 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_310])])). 22.62/3.18 tff(f1520,plain,( 22.62/3.18 spl30_144 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_144])])). 22.62/3.18 tff(f2966,plain,( 22.62/3.18 ( ! [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_144), 22.62/3.18 inference(resolution,[],[f1521,f365])). 22.62/3.18 tff(f1521,plain,( 22.62/3.18 ( ! [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_144), 22.62/3.18 inference(avatar_component_clause,[],[f1520])). 22.62/3.18 tff(f2964,plain,( 22.62/3.18 ~spl30_10 | ~spl30_7 | spl30_309 | ~spl30_143), 22.62/3.18 inference(avatar_split_clause,[],[f2950,f1516,f2962,f593,f602])). 22.62/3.18 tff(f2962,plain,( 22.62/3.18 spl30_309 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_309])])). 22.62/3.18 tff(f1516,plain,( 22.62/3.18 spl30_143 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 22.62/3.18 tff(f2950,plain,( 22.62/3.18 ( ! [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_143), 22.62/3.18 inference(resolution,[],[f1517,f365])). 22.62/3.18 tff(f1517,plain,( 22.62/3.18 ( ! [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_143), 22.62/3.18 inference(avatar_component_clause,[],[f1516])). 22.62/3.18 tff(f2931,plain,( 22.62/3.18 spl30_25 | ~spl30_10), 22.62/3.18 inference(avatar_split_clause,[],[f2919,f602,f704])). 22.62/3.18 tff(f2919,plain,( 22.62/3.18 $less(sK14,81) | ~spl30_10), 22.62/3.18 inference(resolution,[],[f2768,f357])). 22.62/3.18 tff(f2916,plain,( 22.62/3.18 spl30_308 | ~spl30_306 | ~spl30_13 | spl30_15), 22.62/3.18 inference(avatar_split_clause,[],[f2798,f620,f612,f2906,f2914])). 22.62/3.18 tff(f2914,plain,( 22.62/3.18 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,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_308])])). 22.62/3.18 tff(f2906,plain,( 22.62/3.18 spl30_306 <=> $less(sK14,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_306])])). 22.62/3.18 tff(f2798,plain,( 22.62/3.18 ~$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_13 | spl30_15)), 22.62/3.18 inference(resolution,[],[f613,f1533])). 22.62/3.18 tff(f1533,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK14,X13) | valid_column1(X11,X12,sK14)) ) | spl30_15), 22.62/3.18 inference(resolution,[],[f621,f419])). 22.62/3.18 tff(f621,plain,( 22.62/3.18 ~$less(sK14,0) | spl30_15), 22.62/3.18 inference(avatar_component_clause,[],[f620])). 22.62/3.18 tff(f2912,plain,( 22.62/3.18 spl30_307 | ~spl30_306 | ~spl30_13 | spl30_15), 22.62/3.18 inference(avatar_split_clause,[],[f2797,f620,f612,f2906,f2910])). 22.62/3.18 tff(f2910,plain,( 22.62/3.18 spl30_307 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_307])])). 22.62/3.18 tff(f2797,plain,( 22.62/3.18 ~$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_13 | spl30_15)), 22.62/3.18 inference(resolution,[],[f613,f1532])). 22.62/3.18 tff(f1532,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK14,X10) | valid_row1(X8,X9,sK14)) ) | spl30_15), 22.62/3.18 inference(resolution,[],[f621,f418])). 22.62/3.18 tff(f2908,plain,( 22.62/3.18 spl30_305 | ~spl30_306 | ~spl30_13 | spl30_15), 22.62/3.18 inference(avatar_split_clause,[],[f2796,f620,f612,f2906,f2903])). 22.62/3.18 tff(f2903,plain,( 22.62/3.18 spl30_305 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_305])])). 22.62/3.18 tff(f2796,plain,( 22.62/3.18 ~$less(sK14,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_13 | spl30_15)), 22.62/3.18 inference(resolution,[],[f613,f1531])). 22.62/3.18 tff(f1531,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK14,X7) | valid_square1(X5,X6,sK14)) ) | spl30_15), 22.62/3.18 inference(resolution,[],[f621,f417])). 22.62/3.18 tff(f2901,plain,( 22.62/3.18 spl30_304 | ~spl30_302 | ~spl30_13 | spl30_24), 22.62/3.18 inference(avatar_split_clause,[],[f2795,f699,f612,f2891,f2899])). 22.62/3.18 tff(f2899,plain,( 22.62/3.18 spl30_304 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_304])])). 22.62/3.18 tff(f2891,plain,( 22.62/3.18 spl30_302 <=> $less(sK2,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_302])])). 22.62/3.18 tff(f699,plain,( 22.62/3.18 spl30_24 <=> $less(sK2,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 22.62/3.18 tff(f2795,plain,( 22.62/3.18 ~$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_13 | spl30_24)), 22.62/3.18 inference(resolution,[],[f613,f1018])). 22.62/3.18 tff(f1018,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK2,X13) | valid_column1(X11,X12,sK2)) ) | spl30_24), 22.62/3.18 inference(resolution,[],[f700,f419])). 22.62/3.18 tff(f700,plain,( 22.62/3.18 ~$less(sK2,0) | spl30_24), 22.62/3.18 inference(avatar_component_clause,[],[f699])). 22.62/3.18 tff(f2897,plain,( 22.62/3.18 spl30_303 | ~spl30_302 | ~spl30_13 | spl30_24), 22.62/3.18 inference(avatar_split_clause,[],[f2794,f699,f612,f2891,f2895])). 22.62/3.18 tff(f2895,plain,( 22.62/3.18 spl30_303 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_303])])). 22.62/3.18 tff(f2794,plain,( 22.62/3.18 ~$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_13 | spl30_24)), 22.62/3.18 inference(resolution,[],[f613,f1017])). 22.62/3.18 tff(f1017,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK2,X10) | valid_row1(X8,X9,sK2)) ) | spl30_24), 22.62/3.18 inference(resolution,[],[f700,f418])). 22.62/3.18 tff(f2893,plain,( 22.62/3.18 spl30_301 | ~spl30_302 | ~spl30_13 | spl30_24), 22.62/3.18 inference(avatar_split_clause,[],[f2793,f699,f612,f2891,f2888])). 22.62/3.18 tff(f2888,plain,( 22.62/3.18 spl30_301 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_301])])). 22.62/3.18 tff(f2793,plain,( 22.62/3.18 ~$less(sK2,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2) | (~spl30_13 | spl30_24)), 22.62/3.18 inference(resolution,[],[f613,f1016])). 22.62/3.18 tff(f1016,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK2,X7) | valid_square1(X5,X6,sK2)) ) | spl30_24), 22.62/3.18 inference(resolution,[],[f700,f417])). 22.62/3.18 tff(f2886,plain,( 22.62/3.18 spl30_300 | ~spl30_298 | ~spl30_13 | spl30_23), 22.62/3.18 inference(avatar_split_clause,[],[f2792,f695,f612,f2876,f2884])). 22.62/3.18 tff(f2884,plain,( 22.62/3.18 spl30_300 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_300])])). 22.62/3.18 tff(f695,plain,( 22.62/3.18 spl30_23 <=> $less(sK6,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 22.62/3.18 tff(f2792,plain,( 22.62/3.18 ~$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_13 | spl30_23)), 22.62/3.18 inference(resolution,[],[f613,f969])). 22.62/3.18 tff(f969,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK6,X13) | valid_column1(X11,X12,sK6)) ) | spl30_23), 22.62/3.18 inference(resolution,[],[f696,f419])). 22.62/3.18 tff(f696,plain,( 22.62/3.18 ~$less(sK6,0) | spl30_23), 22.62/3.18 inference(avatar_component_clause,[],[f695])). 22.62/3.18 tff(f2882,plain,( 22.62/3.18 spl30_299 | ~spl30_298 | ~spl30_13 | spl30_23), 22.62/3.18 inference(avatar_split_clause,[],[f2791,f695,f612,f2876,f2880])). 22.62/3.18 tff(f2880,plain,( 22.62/3.18 spl30_299 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_299])])). 22.62/3.18 tff(f2791,plain,( 22.62/3.18 ~$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_13 | spl30_23)), 22.62/3.18 inference(resolution,[],[f613,f968])). 22.62/3.18 tff(f968,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK6,X10) | valid_row1(X8,X9,sK6)) ) | spl30_23), 22.62/3.18 inference(resolution,[],[f696,f418])). 22.62/3.18 tff(f2878,plain,( 22.62/3.18 spl30_297 | ~spl30_298 | ~spl30_13 | spl30_23), 22.62/3.18 inference(avatar_split_clause,[],[f2790,f695,f612,f2876,f2873])). 22.62/3.18 tff(f2873,plain,( 22.62/3.18 spl30_297 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_297])])). 22.62/3.18 tff(f2790,plain,( 22.62/3.18 ~$less(sK6,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_13 | spl30_23)), 22.62/3.18 inference(resolution,[],[f613,f967])). 22.62/3.18 tff(f967,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK6,X7) | valid_square1(X5,X6,sK6)) ) | spl30_23), 22.62/3.18 inference(resolution,[],[f696,f417])). 22.62/3.18 tff(f2871,plain,( 22.62/3.18 ~spl30_148 | spl30_296 | ~spl30_11 | ~spl30_13 | spl30_21), 22.62/3.18 inference(avatar_split_clause,[],[f2789,f683,f612,f605,f2869,f1551])). 22.62/3.18 tff(f2869,plain,( 22.62/3.18 spl30_296 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_296])])). 22.62/3.18 tff(f605,plain,( 22.62/3.18 spl30_11 <=> 81 = sK12), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 22.62/3.18 tff(f683,plain,( 22.62/3.18 spl30_21 <=> $less(sK12,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 22.62/3.18 tff(f2789,plain,( 22.62/3.18 valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_11 | ~spl30_13 | spl30_21)), 22.62/3.18 inference(resolution,[],[f613,f933])). 22.62/3.18 tff(f933,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | valid_column1(X11,X12,81) | ~$less(81,X13)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f932,f688])). 22.62/3.18 tff(f688,plain,( 22.62/3.18 81 = sK12 | ~spl30_11), 22.62/3.18 inference(avatar_component_clause,[],[f605])). 22.62/3.18 tff(f932,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,81) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f913,f688])). 22.62/3.18 tff(f913,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,sK12) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | spl30_21), 22.62/3.18 inference(resolution,[],[f684,f419])). 22.62/3.18 tff(f684,plain,( 22.62/3.18 ~$less(sK12,0) | spl30_21), 22.62/3.18 inference(avatar_component_clause,[],[f683])). 22.62/3.18 tff(f2867,plain,( 22.62/3.18 ~spl30_148 | spl30_295 | ~spl30_11 | ~spl30_13 | spl30_21), 22.62/3.18 inference(avatar_split_clause,[],[f2788,f683,f612,f605,f2865,f1551])). 22.62/3.18 tff(f2865,plain,( 22.62/3.18 spl30_295 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_295])])). 22.62/3.18 tff(f2788,plain,( 22.62/3.18 valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_11 | ~spl30_13 | spl30_21)), 22.62/3.18 inference(resolution,[],[f613,f931])). 22.62/3.18 tff(f931,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | valid_row1(X8,X9,81) | ~$less(81,X10)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f930,f688])). 22.62/3.18 tff(f930,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,81) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f912,f688])). 22.62/3.18 tff(f912,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,sK12) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | spl30_21), 22.62/3.18 inference(resolution,[],[f684,f418])). 22.62/3.18 tff(f2863,plain,( 22.62/3.18 ~spl30_148 | spl30_294 | ~spl30_11 | ~spl30_13 | spl30_21), 22.62/3.18 inference(avatar_split_clause,[],[f2787,f683,f612,f605,f2861,f1551])). 22.62/3.18 tff(f2861,plain,( 22.62/3.18 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)))),sK13,81)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_294])])). 22.62/3.18 tff(f2787,plain,( 22.62/3.18 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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_11 | ~spl30_13 | spl30_21)), 22.62/3.18 inference(resolution,[],[f613,f929])). 22.62/3.18 tff(f929,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | valid_square1(X5,X6,81) | ~$less(81,X7)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f928,f688])). 22.62/3.18 tff(f928,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,81) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | (~spl30_11 | spl30_21)), 22.62/3.18 inference(forward_demodulation,[],[f911,f688])). 22.62/3.18 tff(f911,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,sK12) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | spl30_21), 22.62/3.18 inference(resolution,[],[f684,f417])). 22.62/3.18 tff(f2858,plain,( 22.62/3.18 spl30_293 | ~spl30_291 | ~spl30_13 | spl30_20), 22.62/3.18 inference(avatar_split_clause,[],[f2786,f679,f612,f2848,f2856])). 22.62/3.18 tff(f2856,plain,( 22.62/3.18 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,sK10)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_293])])). 22.62/3.18 tff(f2848,plain,( 22.62/3.18 spl30_291 <=> $less(sK10,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_291])])). 22.62/3.18 tff(f679,plain,( 22.62/3.18 spl30_20 <=> $less(sK10,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 22.62/3.18 tff(f2786,plain,( 22.62/3.18 ~$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_13 | spl30_20)), 22.62/3.18 inference(resolution,[],[f613,f864])). 22.62/3.18 tff(f864,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK10,X13) | valid_column1(X11,X12,sK10)) ) | spl30_20), 22.62/3.18 inference(resolution,[],[f680,f419])). 22.62/3.18 tff(f680,plain,( 22.62/3.18 ~$less(sK10,0) | spl30_20), 22.62/3.18 inference(avatar_component_clause,[],[f679])). 22.62/3.18 tff(f2854,plain,( 22.62/3.18 spl30_292 | ~spl30_291 | ~spl30_13 | spl30_20), 22.62/3.18 inference(avatar_split_clause,[],[f2785,f679,f612,f2848,f2852])). 22.62/3.18 tff(f2852,plain,( 22.62/3.18 spl30_292 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_292])])). 22.62/3.18 tff(f2785,plain,( 22.62/3.18 ~$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_13 | spl30_20)), 22.62/3.18 inference(resolution,[],[f613,f863])). 22.62/3.18 tff(f863,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK10,X10) | valid_row1(X8,X9,sK10)) ) | spl30_20), 22.62/3.18 inference(resolution,[],[f680,f418])). 22.62/3.18 tff(f2850,plain,( 22.62/3.18 spl30_290 | ~spl30_291 | ~spl30_13 | spl30_20), 22.62/3.18 inference(avatar_split_clause,[],[f2784,f679,f612,f2848,f2845])). 22.62/3.18 tff(f2845,plain,( 22.62/3.18 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,sK10)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_290])])). 22.62/3.18 tff(f2784,plain,( 22.62/3.18 ~$less(sK10,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_13 | spl30_20)), 22.62/3.18 inference(resolution,[],[f613,f862])). 22.62/3.18 tff(f862,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK10,X7) | valid_square1(X5,X6,sK10)) ) | spl30_20), 22.62/3.18 inference(resolution,[],[f680,f417])). 22.62/3.18 tff(f2843,plain,( 22.62/3.18 spl30_289 | ~spl30_287 | ~spl30_13 | spl30_19), 22.62/3.18 inference(avatar_split_clause,[],[f2783,f675,f612,f2833,f2841])). 22.62/3.18 tff(f2841,plain,( 22.62/3.18 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,sK8)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_289])])). 22.62/3.18 tff(f2833,plain,( 22.62/3.18 spl30_287 <=> $less(sK8,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_287])])). 22.62/3.18 tff(f675,plain,( 22.62/3.18 spl30_19 <=> $less(sK8,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 22.62/3.18 tff(f2783,plain,( 22.62/3.18 ~$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_13 | spl30_19)), 22.62/3.18 inference(resolution,[],[f613,f815])). 22.62/3.18 tff(f815,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK8,X13) | valid_column1(X11,X12,sK8)) ) | spl30_19), 22.62/3.18 inference(resolution,[],[f676,f419])). 22.62/3.18 tff(f676,plain,( 22.62/3.18 ~$less(sK8,0) | spl30_19), 22.62/3.18 inference(avatar_component_clause,[],[f675])). 22.62/3.18 tff(f2839,plain,( 22.62/3.18 spl30_288 | ~spl30_287 | ~spl30_13 | spl30_19), 22.62/3.18 inference(avatar_split_clause,[],[f2782,f675,f612,f2833,f2837])). 22.62/3.18 tff(f2837,plain,( 22.62/3.18 spl30_288 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_288])])). 22.62/3.18 tff(f2782,plain,( 22.62/3.18 ~$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_13 | spl30_19)), 22.62/3.18 inference(resolution,[],[f613,f814])). 22.62/3.18 tff(f814,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK8,X10) | valid_row1(X8,X9,sK8)) ) | spl30_19), 22.62/3.18 inference(resolution,[],[f676,f418])). 22.62/3.18 tff(f2835,plain,( 22.62/3.18 spl30_286 | ~spl30_287 | ~spl30_13 | spl30_19), 22.62/3.18 inference(avatar_split_clause,[],[f2781,f675,f612,f2833,f2830])). 22.62/3.18 tff(f2830,plain,( 22.62/3.18 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,sK8)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_286])])). 22.62/3.18 tff(f2781,plain,( 22.62/3.18 ~$less(sK8,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_13 | spl30_19)), 22.62/3.18 inference(resolution,[],[f613,f813])). 22.62/3.18 tff(f813,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK8,X7) | valid_square1(X5,X6,sK8)) ) | spl30_19), 22.62/3.18 inference(resolution,[],[f676,f417])). 22.62/3.18 tff(f2828,plain,( 22.62/3.18 spl30_285 | ~spl30_283 | ~spl30_13 | spl30_18), 22.62/3.18 inference(avatar_split_clause,[],[f2780,f671,f612,f2818,f2826])). 22.62/3.18 tff(f2826,plain,( 22.62/3.18 spl30_285 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_285])])). 22.62/3.18 tff(f2818,plain,( 22.62/3.18 spl30_283 <=> $less(sK4,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_283])])). 22.62/3.18 tff(f671,plain,( 22.62/3.18 spl30_18 <=> $less(sK4,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 22.62/3.18 tff(f2780,plain,( 22.62/3.18 ~$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_13 | spl30_18)), 22.62/3.18 inference(resolution,[],[f613,f766])). 22.62/3.18 tff(f766,plain,( 22.62/3.18 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK4,X13) | valid_column1(X11,X12,sK4)) ) | spl30_18), 22.62/3.18 inference(resolution,[],[f672,f419])). 22.62/3.18 tff(f672,plain,( 22.62/3.18 ~$less(sK4,0) | spl30_18), 22.62/3.18 inference(avatar_component_clause,[],[f671])). 22.62/3.18 tff(f2824,plain,( 22.62/3.18 spl30_284 | ~spl30_283 | ~spl30_13 | spl30_18), 22.62/3.18 inference(avatar_split_clause,[],[f2779,f671,f612,f2818,f2822])). 22.62/3.18 tff(f2822,plain,( 22.62/3.18 spl30_284 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_284])])). 22.62/3.18 tff(f2779,plain,( 22.62/3.18 ~$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_13 | spl30_18)), 22.62/3.18 inference(resolution,[],[f613,f765])). 22.62/3.18 tff(f765,plain,( 22.62/3.18 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK4,X10) | valid_row1(X8,X9,sK4)) ) | spl30_18), 22.62/3.18 inference(resolution,[],[f672,f418])). 22.62/3.18 tff(f2820,plain,( 22.62/3.18 spl30_282 | ~spl30_283 | ~spl30_13 | spl30_18), 22.62/3.18 inference(avatar_split_clause,[],[f2778,f671,f612,f2818,f2815])). 22.62/3.18 tff(f2815,plain,( 22.62/3.18 spl30_282 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_282])])). 22.62/3.18 tff(f2778,plain,( 22.62/3.18 ~$less(sK4,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_13 | spl30_18)), 22.62/3.18 inference(resolution,[],[f613,f764])). 22.62/3.18 tff(f764,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK4,X7) | valid_square1(X5,X6,sK4)) ) | spl30_18), 22.62/3.18 inference(resolution,[],[f672,f417])). 22.62/3.18 tff(f2813,plain,( 22.62/3.18 spl30_281 | ~spl30_279 | ~spl30_13 | spl30_17), 22.62/3.18 inference(avatar_split_clause,[],[f2777,f667,f612,f2803,f2811])). 22.62/3.18 tff(f2811,plain,( 22.62/3.18 spl30_281 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_281])])). 22.62/3.18 tff(f2803,plain,( 22.62/3.18 spl30_279 <=> $less(sK0,sK14)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_279])])). 22.62/3.18 tff(f667,plain,( 22.62/3.18 spl30_17 <=> $less(sK0,0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 22.62/3.18 tff(f2777,plain,( 22.62/3.18 ~$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_13 | spl30_17)), 22.62/3.18 inference(resolution,[],[f613,f717])). 22.62/3.18 tff(f717,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(resolution,[],[f668,f419])). 22.62/3.18 tff(f668,plain,( 22.62/3.18 ~$less(sK0,0) | spl30_17), 22.62/3.18 inference(avatar_component_clause,[],[f667])). 22.62/3.18 tff(f2809,plain,( 22.62/3.18 spl30_280 | ~spl30_279 | ~spl30_13 | spl30_17), 22.62/3.18 inference(avatar_split_clause,[],[f2776,f667,f612,f2803,f2807])). 22.62/3.18 tff(f2807,plain,( 22.62/3.18 spl30_280 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_280])])). 22.62/3.18 tff(f2776,plain,( 22.62/3.18 ~$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_13 | spl30_17)), 22.62/3.18 inference(resolution,[],[f613,f716])). 22.62/3.18 tff(f716,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(resolution,[],[f668,f418])). 22.62/3.18 tff(f2805,plain,( 22.62/3.18 spl30_278 | ~spl30_279 | ~spl30_13 | spl30_17), 22.62/3.18 inference(avatar_split_clause,[],[f2775,f667,f612,f2803,f2800])). 22.62/3.18 tff(f2800,plain,( 22.62/3.18 spl30_278 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_278])])). 22.62/3.18 tff(f2775,plain,( 22.62/3.18 ~$less(sK0,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_13 | spl30_17)), 22.62/3.18 inference(resolution,[],[f613,f715])). 22.62/3.18 tff(f715,plain,( 22.62/3.18 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK0,X7) | valid_square1(X5,X6,sK0)) ) | spl30_17), 22.62/3.18 inference(resolution,[],[f668,f417])). 22.62/3.18 tff(f2769,plain,( 22.62/3.18 ~spl30_25 | spl30_10 | spl30_15), 22.62/3.18 inference(avatar_split_clause,[],[f1528,f620,f602,f704])). 22.62/3.18 tff(f1528,plain,( 22.62/3.18 is_index1(sK14) | ~$less(sK14,81) | spl30_15), 22.62/3.18 inference(resolution,[],[f621,f356])). 22.62/3.18 tff(f2767,plain,( 22.62/3.18 ~spl30_133 | ~spl30_134 | spl30_12 | ~spl30_253 | spl30_254 | ~spl30_16), 22.62/3.18 inference(avatar_split_clause,[],[f2733,f637,f2556,f2552,f608,f1474,f1471])). 22.62/3.18 tff(f2552,plain,( 22.62/3.18 spl30_253 <=> $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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_253])])). 22.62/3.18 tff(f637,plain,( 22.62/3.18 spl30_16 <=> 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)), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 22.62/3.18 tff(f2733,plain,( 22.62/3.18 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_16), 22.62/3.18 inference(resolution,[],[f1590,f383])). 22.62/3.18 tff(f383,plain,( 22.62/3.18 ( ! [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))) )), 22.62/3.18 inference(cnf_transformation,[],[f193])). 22.62/3.18 tff(f1590,plain,( 22.62/3.18 ( ! [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_16), 22.62/3.18 inference(resolution,[],[f638,f419])). 22.62/3.18 tff(f638,plain,( 22.62/3.18 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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~spl30_16), 22.62/3.18 inference(avatar_component_clause,[],[f637])). 22.62/3.18 tff(f2766,plain,( 22.62/3.18 ~spl30_277 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f2762,f1474,f2764])). 22.62/3.18 tff(f2764,plain,( 22.62/3.18 spl30_277 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_277])])). 22.62/3.18 tff(f2762,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f2761,f458])). 22.62/3.18 tff(f2761,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f2757,f459])). 22.62/3.18 tff(f2757,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1475,f408])). 22.62/3.18 tff(f2760,plain,( 22.62/3.18 spl30_275 | spl30_254 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f2756,f1474,f2556,f2746])). 22.62/3.18 tff(f2746,plain,( 22.62/3.18 spl30_275 <=> ! [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))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_275])])). 22.62/3.18 tff(f2756,plain,( 22.62/3.18 ( ! [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), 22.62/3.18 inference(resolution,[],[f1475,f417])). 22.62/3.18 tff(f2759,plain,( 22.62/3.18 ~spl30_253 | spl30_254 | ~spl30_16 | spl30_134), 22.62/3.18 inference(avatar_split_clause,[],[f2755,f1474,f637,f2556,f2552])). 22.62/3.18 tff(f2755,plain,( 22.62/3.18 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_16 | spl30_134)), 22.62/3.18 inference(resolution,[],[f1475,f1588])). 22.62/3.18 tff(f1588,plain,( 22.62/3.18 ( ! [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_16), 22.62/3.18 inference(resolution,[],[f638,f417])). 22.62/3.18 tff(f2754,plain,( 22.62/3.18 ~spl30_276 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f2750,f1471,f2752])). 22.62/3.18 tff(f2752,plain,( 22.62/3.18 spl30_276 <=> 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))))), 22.62/3.18 introduced(avatar_definition,[new_symbols(naming,[spl30_276])])). 22.62/3.18 tff(f2750,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f2749,f456])). 22.62/3.18 tff(f2749,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(forward_demodulation,[],[f2740,f454])). 22.62/3.18 tff(f2740,plain,( 22.62/3.18 ~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), 22.62/3.18 inference(resolution,[],[f1472,f406])). 22.62/3.18 tff(f2748,plain,( 22.62/3.18 spl30_275 | spl30_254 | spl30_133), 22.62/3.18 inference(avatar_split_clause,[],[f2739,f1471,f2556,f2746])). 22.62/3.18 tff(f2739,plain,( 22.62/3.18 ( ! [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), 22.62/3.19 inference(resolution,[],[f1472,f418])). 22.62/3.19 tff(f2744,plain,( 22.62/3.19 ~spl30_253 | spl30_254 | ~spl30_16 | spl30_133), 22.62/3.19 inference(avatar_split_clause,[],[f2738,f1471,f637,f2556,f2552])). 22.62/3.19 tff(f2738,plain,( 22.62/3.19 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_16 | spl30_133)), 22.62/3.19 inference(resolution,[],[f1472,f1589])). 22.62/3.19 tff(f1589,plain,( 22.62/3.19 ( ! [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(X1,81)) ) | ~spl30_16), 22.62/3.19 inference(resolution,[],[f638,f418])). 22.62/3.19 tff(f2722,plain,( 22.62/3.19 ~spl30_268 | spl30_274 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2686,f1599,f2720,f2697])). 22.62/3.19 tff(f2697,plain,( 22.62/3.19 spl30_268 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_268])])). 22.62/3.19 tff(f2720,plain,( 22.62/3.19 spl30_274 <=> ! [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,$sum(sK14,1))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($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,$sum(sK14,1)))))) | ~is_index1(X43))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_274])])). 22.62/3.19 tff(f2686,plain,( 22.62/3.19 ( ! [X43:$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(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) | ~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)))))) | ~disjoint_chunks1(X42,X44)) ) | spl30_157), 22.62/3.19 inference(resolution,[],[f1600,f461])). 22.62/3.19 tff(f2718,plain,( 22.62/3.19 ~spl30_268 | spl30_273 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2683,f1599,f2715,f2697])). 22.62/3.19 tff(f2715,plain,( 22.62/3.19 spl30_273 <=> ! [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) | 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) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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,$sum(sK14,1)))))))),1))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_273])])). 22.62/3.19 tff(f2683,plain,( 22.62/3.19 ( ! [X28:array_int,X26:array_int,X29:$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),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,$sum(sK14,1)) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_157), 22.62/3.19 inference(resolution,[],[f1600,f440])). 22.62/3.19 tff(f2717,plain,( 22.62/3.19 ~spl30_268 | spl30_273 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2682,f1599,f2715,f2697])). 22.62/3.19 tff(f2682,plain,( 22.62/3.19 ( ! [X24:$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),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) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9) | $less(X24,0) | ~$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 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_157), 22.62/3.19 inference(resolution,[],[f1600,f440])). 22.62/3.19 tff(f2713,plain,( 22.62/3.19 spl30_270 | spl30_272 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2681,f1599,f2711,f2704])). 22.62/3.19 tff(f2704,plain,( 22.62/3.19 spl30_270 <=> $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_270])])). 22.62/3.19 tff(f2711,plain,( 22.62/3.19 spl30_272 <=> ! [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(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_272])])). 22.62/3.19 tff(f2681,plain,( 22.62/3.19 ( ! [X19:$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(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))) ) | spl30_157), 22.62/3.19 inference(resolution,[],[f1600,f425])). 22.62/3.19 tff(f2709,plain,( 22.62/3.19 spl30_270 | spl30_271 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2680,f1599,f2707,f2704])). 22.62/3.19 tff(f2707,plain,( 22.62/3.19 spl30_271 <=> ! [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(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_271])])). 22.62/3.19 tff(f2680,plain,( 22.62/3.19 ( ! [X14:map_int_int,X15:map_int_int,X16:$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(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | $less(81,X16)) ) | spl30_157), 22.62/3.19 inference(resolution,[],[f1600,f425])). 22.62/3.19 tff(f2702,plain,( 22.62/3.19 ~spl30_268 | spl30_269 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2675,f1599,f2700,f2697])). 22.62/3.19 tff(f2700,plain,( 22.62/3.19 spl30_269 <=> ! [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,$sum(sK14,1)))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_269])])). 22.62/3.19 tff(f2675,plain,( 22.62/3.19 ( ! [X2:array_int,X0:array_int,X1:$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), 22.62/3.19 inference(resolution,[],[f1600,f368])). 22.62/3.19 tff(f2695,plain,( 22.62/3.19 ~spl30_266 | spl30_267 | spl30_157), 22.62/3.19 inference(avatar_split_clause,[],[f2674,f1599,f2693,f2690])). 22.62/3.19 tff(f2690,plain,( 22.62/3.19 spl30_266 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),81)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_266])])). 22.62/3.19 tff(f2674,plain,( 22.62/3.19 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,$sum(sK14,1))) | ~$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), 22.62/3.19 inference(resolution,[],[f1600,f356])). 22.62/3.19 tff(f2662,plain,( 22.62/3.19 ~spl30_264 | spl30_265 | spl30_97), 22.62/3.19 inference(avatar_split_clause,[],[f2655,f1191,f2660,f2657])). 22.62/3.19 tff(f2657,plain,( 22.62/3.19 spl30_264 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),81)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_264])])). 22.62/3.19 tff(f2660,plain,( 22.62/3.19 spl30_265 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),0)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_265])])). 22.62/3.19 tff(f2655,plain,( 22.62/3.19 $less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),0) | ~$less($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))),81) | spl30_97), 22.62/3.19 inference(resolution,[],[f1192,f356])). 22.62/3.19 tff(f2654,plain,( 22.62/3.19 ~spl30_262 | spl30_263 | spl30_91), 22.62/3.19 inference(avatar_split_clause,[],[f2647,f1147,f2652,f2649])). 22.62/3.19 tff(f2649,plain,( 22.62/3.19 spl30_262 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),81)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_262])])). 22.62/3.19 tff(f2652,plain,( 22.62/3.19 spl30_263 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),0)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_263])])). 22.62/3.19 tff(f2647,plain,( 22.62/3.19 $less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),0) | ~$less($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))),81) | spl30_91), 22.62/3.19 inference(resolution,[],[f1148,f356])). 22.62/3.19 tff(f2646,plain,( 22.62/3.19 ~spl30_260 | spl30_261 | spl30_85), 22.62/3.19 inference(avatar_split_clause,[],[f2639,f1103,f2644,f2641])). 22.62/3.19 tff(f2641,plain,( 22.62/3.19 spl30_260 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),81)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_260])])). 22.62/3.19 tff(f2644,plain,( 22.62/3.19 spl30_261 <=> $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),0)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_261])])). 22.62/3.19 tff(f2639,plain,( 22.62/3.19 $less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),0) | ~$less($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))),81) | spl30_85), 22.62/3.19 inference(resolution,[],[f1104,f356])). 22.62/3.19 tff(f2638,plain,( 22.62/3.19 ~spl30_259 | ~spl30_139), 22.62/3.19 inference(avatar_split_clause,[],[f2626,f1500,f2636])). 22.62/3.19 tff(f2626,plain,( 22.62/3.19 ~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)))),sK13,0)) | ~spl30_139), 22.62/3.19 inference(resolution,[],[f1501,f358])). 22.62/3.19 tff(f1501,plain,( 22.62/3.19 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~spl30_139), 22.62/3.19 inference(avatar_component_clause,[],[f1500])). 22.62/3.19 tff(f2634,plain,( 22.62/3.19 spl30_1 | ~spl30_139), 22.62/3.19 inference(avatar_split_clause,[],[f2625,f1500,f575])). 22.62/3.19 tff(f575,plain,( 22.62/3.19 spl30_1 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 22.62/3.19 tff(f2625,plain,( 22.62/3.19 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~spl30_139), 22.62/3.19 inference(resolution,[],[f1501,f415])). 22.62/3.19 tff(f415,plain,( 22.62/3.19 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~$less(sK24(X0,X1,X2),0)) )), 22.62/3.19 inference(cnf_transformation,[],[f206])). 22.62/3.19 tff(f2624,plain,( 22.62/3.19 ~spl30_22 | spl30_258 | ~spl30_131), 22.62/3.19 inference(avatar_split_clause,[],[f2618,f1463,f2622,f691])). 22.62/3.19 tff(f2622,plain,( 22.62/3.19 spl30_258 <=> ! [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))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_258])])). 22.62/3.19 tff(f1463,plain,( 22.62/3.19 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))), 22.62/3.19 introduced(avatar_definition,[new_symbols(naming,[spl30_131])])). 22.62/3.20 tff(f2618,plain,( 22.62/3.20 ( ! [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), 22.62/3.20 inference(resolution,[],[f1464,f403])). 22.62/3.20 tff(f1464,plain,( 22.62/3.20 ( ! [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), 22.62/3.20 inference(avatar_component_clause,[],[f1463])). 22.62/3.20 tff(f2609,plain,( 22.62/3.20 spl30_123 | spl30_124 | ~spl30_255 | spl30_257 | spl30_123), 22.62/3.20 inference(avatar_split_clause,[],[f2594,f1350,f2607,f2598,f1356,f1350])). 22.62/3.20 tff(f1356,plain,( 22.62/3.20 spl30_124 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 22.62/3.20 tff(f2598,plain,( 22.62/3.20 spl30_255 <=> is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_255])])). 22.62/3.20 tff(f2607,plain,( 22.62/3.20 spl30_257 <=> ! [X6 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X6))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_257])])). 22.62/3.20 tff(f2594,plain,( 22.62/3.20 ( ! [X6:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~is_index1($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,X6)) ) | spl30_123), 22.62/3.20 inference(superposition,[],[f1351,f391])). 22.62/3.20 tff(f2603,plain,( 22.62/3.20 spl30_124 | ~spl30_255 | spl30_256 | spl30_123), 22.62/3.20 inference(avatar_split_clause,[],[f2589,f1350,f2601,f2598,f1356])). 22.62/3.20 tff(f2601,plain,( 22.62/3.20 spl30_256 <=> ! [X0 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($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)))))))))) | ~included1(sK13,X0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_256])])). 22.62/3.20 tff(f2589,plain,( 22.62/3.20 ( ! [X0:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(X0),t2tb1($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)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~included1(sK13,X0)) ) | spl30_123), 22.62/3.20 inference(resolution,[],[f1351,f391])). 22.62/3.20 tff(f2558,plain,( 22.62/3.20 ~spl30_254 | ~spl30_132), 22.62/3.20 inference(avatar_split_clause,[],[f2541,f1467,f2556])). 22.62/3.20 tff(f2541,plain,( 22.62/3.20 ~$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) | ~spl30_132), 22.62/3.20 inference(resolution,[],[f1468,f358])). 22.62/3.20 tff(f1468,plain,( 22.62/3.20 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), 22.62/3.20 inference(avatar_component_clause,[],[f1467])). 22.62/3.20 tff(f2554,plain,( 22.62/3.20 spl30_253 | ~spl30_132), 22.62/3.20 inference(avatar_split_clause,[],[f2540,f1467,f2552])). 22.62/3.20 tff(f2540,plain,( 22.62/3.20 $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),81) | ~spl30_132), 22.62/3.20 inference(resolution,[],[f1468,f357])). 22.62/3.20 tff(f2533,plain,( 22.62/3.20 spl30_251 | spl30_252 | spl30_15), 22.62/3.20 inference(avatar_split_clause,[],[f2526,f620,f2531,f2528])). 22.62/3.20 tff(f2528,plain,( 22.62/3.20 spl30_251 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_251])])). 22.62/3.20 tff(f2531,plain,( 22.62/3.20 spl30_252 <=> ! [X9 : $int] : (~$less(sK14,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_252])])). 22.62/3.20 tff(f2526,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK14,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_15), 22.62/3.20 inference(evaluation,[],[f2525])). 22.62/3.20 tff(f2525,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK14,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_15), 22.62/3.20 inference(resolution,[],[f1541,f425])). 22.62/3.20 tff(f1541,plain,( 22.62/3.20 ( ! [X47:$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_15), 22.62/3.20 inference(resolution,[],[f621,f429])). 22.62/3.20 tff(f2521,plain,( 22.62/3.20 spl30_249 | spl30_250 | spl30_24), 22.62/3.20 inference(avatar_split_clause,[],[f2514,f699,f2519,f2516])). 22.62/3.20 tff(f2516,plain,( 22.62/3.20 spl30_249 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_249])])). 22.62/3.20 tff(f2519,plain,( 22.62/3.20 spl30_250 <=> ! [X9 : $int] : (~$less(sK2,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_250])])). 22.62/3.20 tff(f2514,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK2,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_24), 22.62/3.20 inference(evaluation,[],[f2513])). 22.62/3.20 tff(f2513,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK2,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_24), 22.62/3.20 inference(resolution,[],[f1026,f425])). 22.62/3.20 tff(f1026,plain,( 22.62/3.20 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK2,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK2)))) ) | spl30_24), 22.62/3.20 inference(resolution,[],[f700,f429])). 22.62/3.20 tff(f2509,plain,( 22.62/3.20 spl30_247 | spl30_248 | spl30_23), 22.62/3.20 inference(avatar_split_clause,[],[f2502,f695,f2507,f2504])). 22.62/3.20 tff(f2504,plain,( 22.62/3.20 spl30_247 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | ~grid_eq_sub1(X10,X11,0,81))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_247])])). 22.62/3.20 tff(f2502,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK6,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_23), 22.62/3.20 inference(evaluation,[],[f2501])). 22.62/3.20 tff(f2501,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK6,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_23), 22.62/3.20 inference(resolution,[],[f977,f425])). 22.62/3.20 tff(f977,plain,( 22.62/3.20 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK6,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK6)))) ) | spl30_23), 22.62/3.20 inference(resolution,[],[f696,f429])). 22.62/3.20 tff(f2493,plain,( 22.62/3.20 spl30_245 | spl30_246 | spl30_20), 22.62/3.20 inference(avatar_split_clause,[],[f2486,f679,f2491,f2488])). 22.62/3.20 tff(f2488,plain,( 22.62/3.20 spl30_245 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | ~grid_eq_sub1(X10,X11,0,81))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_245])])). 22.62/3.20 tff(f2486,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK10,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_20), 22.62/3.20 inference(evaluation,[],[f2485])). 22.62/3.20 tff(f2485,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK10,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_20), 22.62/3.20 inference(resolution,[],[f872,f425])). 22.62/3.20 tff(f872,plain,( 22.62/3.20 ( ! [X47:$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_20), 22.62/3.20 inference(resolution,[],[f680,f429])). 22.62/3.20 tff(f2481,plain,( 22.62/3.20 spl30_243 | spl30_244 | spl30_19), 22.62/3.20 inference(avatar_split_clause,[],[f2474,f675,f2479,f2476])). 22.62/3.20 tff(f2476,plain,( 22.62/3.20 spl30_243 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_243])])). 22.62/3.20 tff(f2479,plain,( 22.62/3.20 spl30_244 <=> ! [X9 : $int] : (~$less(sK8,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_244])])). 22.62/3.20 tff(f2474,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK8,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK8))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_19), 22.62/3.20 inference(evaluation,[],[f2473])). 22.62/3.20 tff(f2473,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK8,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK8))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK8))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_19), 22.62/3.20 inference(resolution,[],[f823,f425])). 22.62/3.20 tff(f823,plain,( 22.62/3.20 ( ! [X47:$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_19), 22.62/3.20 inference(resolution,[],[f676,f429])). 22.62/3.20 tff(f2469,plain,( 22.62/3.20 spl30_241 | spl30_242 | spl30_18), 22.62/3.20 inference(avatar_split_clause,[],[f2462,f671,f2467,f2464])). 22.62/3.20 tff(f2464,plain,( 22.62/3.20 spl30_241 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_241])])). 22.62/3.20 tff(f2467,plain,( 22.62/3.20 spl30_242 <=> ! [X9 : $int] : (~$less(sK4,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_242])])). 22.62/3.20 tff(f2462,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK4,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK4))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_18), 22.62/3.20 inference(evaluation,[],[f2461])). 22.62/3.20 tff(f2461,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK4,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK4))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK4))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_18), 22.62/3.20 inference(resolution,[],[f774,f425])). 22.62/3.20 tff(f774,plain,( 22.62/3.20 ( ! [X47:$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_18), 22.62/3.20 inference(resolution,[],[f672,f429])). 22.62/3.20 tff(f2457,plain,( 22.62/3.20 spl30_239 | spl30_240 | spl30_17), 22.62/3.20 inference(avatar_split_clause,[],[f2450,f667,f2455,f2452])). 22.62/3.20 tff(f2452,plain,( 22.62/3.20 spl30_239 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_239])])). 22.62/3.20 tff(f2455,plain,( 22.62/3.20 spl30_240 <=> ! [X9 : $int] : (~$less(sK0,X9) | $less(81,X9) | $less(X9,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_240])])). 22.62/3.20 tff(f2450,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK0,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK0))) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9)) ) | spl30_17), 22.62/3.20 inference(evaluation,[],[f2449])). 22.62/3.20 tff(f2449,plain,( 22.62/3.20 ( ! [X10:map_int_int,X11:map_int_int,X9:$int] : (~$less(sK0,X9) | tb2t1(get(int,int,t2tb(X10),t2tb1(sK0))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK0))) | $less(0,0) | $less(X9,0) | ~grid_eq_sub1(X10,X11,0,81) | $less(81,X9) | $less(81,0)) ) | spl30_17), 22.62/3.20 inference(resolution,[],[f725,f425])). 22.62/3.20 tff(f725,plain,( 22.62/3.20 ( ! [X47:$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), 22.62/3.20 inference(resolution,[],[f668,f429])). 22.62/3.20 tff(f2445,plain,( 22.62/3.20 ~spl30_232 | spl30_238 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2416,f1836,f2443,f2420])). 22.62/3.20 tff(f2420,plain,( 22.62/3.20 spl30_232 <=> $less(sK15(sK13),9)), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_232])])). 22.62/3.20 tff(f2443,plain,( 22.62/3.20 spl30_238 <=> ! [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),sK15(sK13)))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK15(sK13))))) | ~is_index1(X43))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_238])])). 22.62/3.20 tff(f1836,plain,( 22.62/3.20 spl30_162 <=> $less(sK15(sK13),0)), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_162])])). 22.62/3.20 tff(f2416,plain,( 22.62/3.20 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK15(sK13)))))) | ~is_index1(X43) | ~$less(sK15(sK13),9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK15(sK13))))) | ~disjoint_chunks1(X42,X44)) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f461])). 22.62/3.20 tff(f1837,plain,( 22.62/3.20 ~$less(sK15(sK13),0) | spl30_162), 22.62/3.20 inference(avatar_component_clause,[],[f1836])). 22.62/3.20 tff(f2441,plain,( 22.62/3.20 ~spl30_232 | spl30_237 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2413,f1836,f2438,f2420])). 22.62/3.20 tff(f2438,plain,( 22.62/3.20 spl30_237 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK15(sK13))))))) | ~valid_chunk1(X20,X22,X21,X23) | sK15(sK13) = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK15(sK13)))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK15(sK13))))))),1))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_237])])). 22.62/3.20 tff(f2413,plain,( 22.62/3.20 ( ! [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),sK15(sK13))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK15(sK13)))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK15(sK13))))))),1) | $less(X29,0) | ~$less(X29,9) | ~$less(sK15(sK13),9) | sK15(sK13) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f440])). 22.62/3.20 tff(f2440,plain,( 22.62/3.20 ~spl30_232 | spl30_237 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2412,f1836,f2438,f2420])). 22.62/3.20 tff(f2412,plain,( 22.62/3.20 ( ! [X24:$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),sK15(sK13))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK15(sK13))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK15(sK13)))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK15(sK13),9) | $less(X24,0) | ~$less(X24,9) | sK15(sK13) = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f440])). 22.62/3.20 tff(f2436,plain,( 22.62/3.20 spl30_234 | spl30_236 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2411,f1836,f2434,f2427])). 22.62/3.20 tff(f2427,plain,( 22.62/3.20 spl30_234 <=> $less(81,sK15(sK13))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_234])])). 22.62/3.20 tff(f2434,plain,( 22.62/3.20 spl30_236 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK15(sK13),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_236])])). 22.62/3.20 tff(f2411,plain,( 22.62/3.20 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK15(sK13),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK15(sK13))) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f425])). 22.62/3.20 tff(f2432,plain,( 22.62/3.20 spl30_234 | spl30_235 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2410,f1836,f2430,f2427])). 22.62/3.20 tff(f2430,plain,( 22.62/3.20 spl30_235 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK15(sK13)) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_235])])). 22.62/3.20 tff(f2410,plain,( 22.62/3.20 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK15(sK13)) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK15(sK13)) | $less(81,X16)) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f425])). 22.62/3.20 tff(f2425,plain,( 22.62/3.20 ~spl30_232 | spl30_233 | spl30_162), 22.62/3.20 inference(avatar_split_clause,[],[f2405,f1836,f2423,f2420])). 22.62/3.20 tff(f2423,plain,( 22.62/3.20 spl30_233 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK15(sK13))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_233])])). 22.62/3.20 tff(f2405,plain,( 22.62/3.20 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK15(sK13))))) | ~is_index1(X1) | ~$less(sK15(sK13),9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_162), 22.62/3.20 inference(resolution,[],[f1837,f368])). 22.62/3.20 tff(f2403,plain,( 22.62/3.20 spl30_122 | spl30_231 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2372,f1340,f2401,f1344])). 22.62/3.20 tff(f2401,plain,( 22.62/3.20 spl30_231 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_231])])). 22.62/3.20 tff(f2372,plain,( 22.62/3.20 ( ! [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_121), 22.62/3.20 inference(resolution,[],[f1341,f419])). 22.62/3.20 tff(f2399,plain,( 22.62/3.20 spl30_122 | spl30_230 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2371,f1340,f2397,f1344])). 22.62/3.20 tff(f2397,plain,( 22.62/3.20 spl30_230 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_230])])). 22.62/3.20 tff(f2371,plain,( 22.62/3.20 ( ! [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_121), 22.62/3.20 inference(resolution,[],[f1341,f418])). 22.62/3.20 tff(f2395,plain,( 22.62/3.20 spl30_122 | spl30_229 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2370,f1340,f2393,f1344])). 22.62/3.20 tff(f2393,plain,( 22.62/3.20 spl30_229 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_229])])). 22.62/3.20 tff(f2370,plain,( 22.62/3.20 ( ! [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_121), 22.62/3.20 inference(resolution,[],[f1341,f417])). 22.62/3.20 tff(f2391,plain,( 22.62/3.20 spl30_122 | spl30_228 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2368,f1340,f2388,f1344])). 22.62/3.20 tff(f2388,plain,( 22.62/3.20 spl30_228 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_228])])). 22.62/3.20 tff(f2368,plain,( 22.62/3.20 ( ! [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),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X25,0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f453])). 22.62/3.20 tff(f2390,plain,( 22.62/3.20 spl30_122 | spl30_228 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2367,f1340,f2388,f1344])). 22.62/3.20 tff(f2367,plain,( 22.62/3.20 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f453])). 22.62/3.20 tff(f2386,plain,( 22.62/3.20 spl30_122 | spl30_227 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2366,f1340,f2384,f1344])). 22.62/3.20 tff(f2384,plain,( 22.62/3.20 spl30_227 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_227])])). 22.62/3.20 tff(f2366,plain,( 22.62/3.20 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f368])). 22.62/3.20 tff(f2382,plain,( 22.62/3.20 spl30_122 | spl30_226 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2365,f1340,f2380,f1344])). 22.62/3.20 tff(f2380,plain,( 22.62/3.20 spl30_226 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_226])])). 22.62/3.20 tff(f2365,plain,( 22.62/3.20 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f461])). 22.62/3.20 tff(f2378,plain,( 22.62/3.20 spl30_122 | spl30_225 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2364,f1340,f2375,f1344])). 22.62/3.20 tff(f2375,plain,( 22.62/3.20 spl30_225 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_225])])). 22.62/3.20 tff(f2364,plain,( 22.62/3.20 ( ! [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),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X9,0) | ~$less(X9,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f440])). 22.62/3.20 tff(f2377,plain,( 22.62/3.20 spl30_122 | spl30_225 | ~spl30_121), 22.62/3.20 inference(avatar_split_clause,[],[f2363,f1340,f2375,f1344])). 22.62/3.20 tff(f2363,plain,( 22.62/3.20 ( ! [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),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,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) | $less(X4,0) | ~$less(X4,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_121), 22.62/3.20 inference(resolution,[],[f1341,f440])). 22.62/3.20 tff(f2362,plain,( 22.62/3.20 spl30_120 | spl30_224 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2331,f1332,f2360,f1336])). 22.62/3.20 tff(f2360,plain,( 22.62/3.20 spl30_224 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_224])])). 22.62/3.20 tff(f2331,plain,( 22.62/3.20 ( ! [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_119), 22.62/3.20 inference(resolution,[],[f1333,f419])). 22.62/3.20 tff(f2358,plain,( 22.62/3.20 spl30_120 | spl30_223 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2330,f1332,f2356,f1336])). 22.62/3.20 tff(f2356,plain,( 22.62/3.20 spl30_223 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_223])])). 22.62/3.20 tff(f2330,plain,( 22.62/3.20 ( ! [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_119), 22.62/3.20 inference(resolution,[],[f1333,f418])). 22.62/3.20 tff(f2354,plain,( 22.62/3.20 spl30_120 | spl30_222 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2329,f1332,f2352,f1336])). 22.62/3.20 tff(f2352,plain,( 22.62/3.20 spl30_222 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_222])])). 22.62/3.20 tff(f2329,plain,( 22.62/3.20 ( ! [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_119), 22.62/3.20 inference(resolution,[],[f1333,f417])). 22.62/3.20 tff(f2350,plain,( 22.62/3.20 spl30_120 | spl30_221 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2327,f1332,f2347,f1336])). 22.62/3.20 tff(f2347,plain,( 22.62/3.20 spl30_221 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_221])])). 22.62/3.20 tff(f2327,plain,( 22.62/3.20 ( ! [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),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X25,0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f453])). 22.62/3.20 tff(f2349,plain,( 22.62/3.20 spl30_120 | spl30_221 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2326,f1332,f2347,f1336])). 22.62/3.20 tff(f2326,plain,( 22.62/3.20 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f453])). 22.62/3.20 tff(f2345,plain,( 22.62/3.20 spl30_120 | spl30_220 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2325,f1332,f2343,f1336])). 22.62/3.20 tff(f2343,plain,( 22.62/3.20 spl30_220 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_220])])). 22.62/3.20 tff(f2325,plain,( 22.62/3.20 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f368])). 22.62/3.20 tff(f2341,plain,( 22.62/3.20 spl30_120 | spl30_219 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2324,f1332,f2339,f1336])). 22.62/3.20 tff(f2339,plain,( 22.62/3.20 spl30_219 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_219])])). 22.62/3.20 tff(f2324,plain,( 22.62/3.20 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f461])). 22.62/3.20 tff(f2337,plain,( 22.62/3.20 spl30_120 | spl30_218 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2323,f1332,f2334,f1336])). 22.62/3.20 tff(f2334,plain,( 22.62/3.20 spl30_218 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_218])])). 22.62/3.20 tff(f2323,plain,( 22.62/3.20 ( ! [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),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X9,0) | ~$less(X9,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f440])). 22.62/3.20 tff(f2336,plain,( 22.62/3.20 spl30_120 | spl30_218 | ~spl30_119), 22.62/3.20 inference(avatar_split_clause,[],[f2322,f1332,f2334,f1336])). 22.62/3.20 tff(f2322,plain,( 22.62/3.20 ( ! [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),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,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) | $less(X4,0) | ~$less(X4,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_119), 22.62/3.20 inference(resolution,[],[f1333,f440])). 22.62/3.20 tff(f2321,plain,( 22.62/3.20 spl30_112 | spl30_217 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2290,f1279,f2319,f1283])). 22.62/3.20 tff(f2319,plain,( 22.62/3.20 spl30_217 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_217])])). 22.62/3.20 tff(f2290,plain,( 22.62/3.20 ( ! [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_111), 22.62/3.20 inference(resolution,[],[f1280,f419])). 22.62/3.20 tff(f2317,plain,( 22.62/3.20 spl30_112 | spl30_216 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2289,f1279,f2315,f1283])). 22.62/3.20 tff(f2315,plain,( 22.62/3.20 spl30_216 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_216])])). 22.62/3.20 tff(f2289,plain,( 22.62/3.20 ( ! [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_111), 22.62/3.20 inference(resolution,[],[f1280,f418])). 22.62/3.20 tff(f2313,plain,( 22.62/3.20 spl30_112 | spl30_215 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2288,f1279,f2311,f1283])). 22.62/3.20 tff(f2311,plain,( 22.62/3.20 spl30_215 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_215])])). 22.62/3.20 tff(f2288,plain,( 22.62/3.20 ( ! [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_111), 22.62/3.20 inference(resolution,[],[f1280,f417])). 22.62/3.20 tff(f2309,plain,( 22.62/3.20 spl30_112 | spl30_214 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2286,f1279,f2306,f1283])). 22.62/3.20 tff(f2306,plain,( 22.62/3.20 spl30_214 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_214])])). 22.62/3.20 tff(f2286,plain,( 22.62/3.20 ( ! [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),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X25,0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f453])). 22.62/3.20 tff(f2308,plain,( 22.62/3.20 spl30_112 | spl30_214 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2285,f1279,f2306,f1283])). 22.62/3.20 tff(f2285,plain,( 22.62/3.20 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f453])). 22.62/3.20 tff(f2304,plain,( 22.62/3.20 spl30_112 | spl30_213 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2284,f1279,f2302,f1283])). 22.62/3.20 tff(f2302,plain,( 22.62/3.20 spl30_213 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_213])])). 22.62/3.20 tff(f2284,plain,( 22.62/3.20 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f368])). 22.62/3.20 tff(f2300,plain,( 22.62/3.20 spl30_112 | spl30_212 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2283,f1279,f2298,f1283])). 22.62/3.20 tff(f2298,plain,( 22.62/3.20 spl30_212 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_212])])). 22.62/3.20 tff(f2283,plain,( 22.62/3.20 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f461])). 22.62/3.20 tff(f2296,plain,( 22.62/3.20 spl30_112 | spl30_211 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2282,f1279,f2293,f1283])). 22.62/3.20 tff(f2293,plain,( 22.62/3.20 spl30_211 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_211])])). 22.62/3.20 tff(f2282,plain,( 22.62/3.20 ( ! [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),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X9,0) | ~$less(X9,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f440])). 22.62/3.20 tff(f2295,plain,( 22.62/3.20 spl30_112 | spl30_211 | ~spl30_111), 22.62/3.20 inference(avatar_split_clause,[],[f2281,f1279,f2293,f1283])). 22.62/3.20 tff(f2281,plain,( 22.62/3.20 ( ! [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),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) | $less(X4,0) | ~$less(X4,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_111), 22.62/3.20 inference(resolution,[],[f1280,f440])). 22.62/3.20 tff(f2280,plain,( 22.62/3.20 spl30_110 | spl30_210 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2249,f1271,f2278,f1275])). 22.62/3.20 tff(f2278,plain,( 22.62/3.20 spl30_210 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_210])])). 22.62/3.20 tff(f2249,plain,( 22.62/3.20 ( ! [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_109), 22.62/3.20 inference(resolution,[],[f1272,f419])). 22.62/3.20 tff(f2276,plain,( 22.62/3.20 spl30_110 | spl30_209 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2248,f1271,f2274,f1275])). 22.62/3.20 tff(f2274,plain,( 22.62/3.20 spl30_209 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_209])])). 22.62/3.20 tff(f2248,plain,( 22.62/3.20 ( ! [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_109), 22.62/3.20 inference(resolution,[],[f1272,f418])). 22.62/3.20 tff(f2272,plain,( 22.62/3.20 spl30_110 | spl30_208 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2247,f1271,f2270,f1275])). 22.62/3.20 tff(f2270,plain,( 22.62/3.20 spl30_208 <=> ! [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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_208])])). 22.62/3.20 tff(f2247,plain,( 22.62/3.20 ( ! [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_109), 22.62/3.20 inference(resolution,[],[f1272,f417])). 22.62/3.20 tff(f2268,plain,( 22.62/3.20 spl30_110 | spl30_207 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2245,f1271,f2265,f1275])). 22.62/3.20 tff(f2265,plain,( 22.62/3.20 spl30_207 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_207])])). 22.62/3.20 tff(f2245,plain,( 22.62/3.20 ( ! [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),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X25,0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_109), 22.62/3.20 inference(resolution,[],[f1272,f453])). 22.62/3.20 tff(f2267,plain,( 22.62/3.20 spl30_110 | spl30_207 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2244,f1271,f2265,f1275])). 22.62/3.20 tff(f2244,plain,( 22.62/3.20 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_109), 22.62/3.20 inference(resolution,[],[f1272,f453])). 22.62/3.20 tff(f2263,plain,( 22.62/3.20 spl30_110 | spl30_206 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2243,f1271,f2261,f1275])). 22.62/3.20 tff(f2261,plain,( 22.62/3.20 spl30_206 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_206])])). 22.62/3.20 tff(f2243,plain,( 22.62/3.20 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_109), 22.62/3.20 inference(resolution,[],[f1272,f368])). 22.62/3.20 tff(f2259,plain,( 22.62/3.20 spl30_110 | spl30_205 | ~spl30_109), 22.62/3.20 inference(avatar_split_clause,[],[f2242,f1271,f2257,f1275])). 22.62/3.20 tff(f2257,plain,( 22.62/3.20 spl30_205 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 22.62/3.20 introduced(avatar_definition,[new_symbols(naming,[spl30_205])])). 22.62/3.20 tff(f2242,plain,( 22.62/3.20 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_109), 22.62/3.21 inference(resolution,[],[f1272,f461])). 22.62/3.21 tff(f2255,plain,( 22.62/3.21 spl30_110 | spl30_204 | ~spl30_109), 22.62/3.21 inference(avatar_split_clause,[],[f2241,f1271,f2252,f1275])). 22.62/3.21 tff(f2252,plain,( 22.62/3.21 spl30_204 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_204])])). 22.62/3.21 tff(f2241,plain,( 22.62/3.21 ( ! [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),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) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X9,0) | ~$less(X9,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_109), 22.62/3.21 inference(resolution,[],[f1272,f440])). 22.62/3.21 tff(f2254,plain,( 22.62/3.21 spl30_110 | spl30_204 | ~spl30_109), 22.62/3.21 inference(avatar_split_clause,[],[f2240,f1271,f2252,f1275])). 22.62/3.21 tff(f2240,plain,( 22.62/3.21 ( ! [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),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),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) | $less(X4,0) | ~$less(X4,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_109), 22.62/3.21 inference(resolution,[],[f1272,f440])). 22.62/3.21 tff(f2239,plain,( 22.62/3.21 spl30_102 | spl30_203 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2208,f1218,f2237,f1222])). 22.62/3.21 tff(f2237,plain,( 22.62/3.21 spl30_203 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_203])])). 22.62/3.21 tff(f2208,plain,( 22.62/3.21 ( ! [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_101), 22.62/3.21 inference(resolution,[],[f1219,f419])). 22.62/3.21 tff(f2235,plain,( 22.62/3.21 spl30_102 | spl30_202 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2207,f1218,f2233,f1222])). 22.62/3.21 tff(f2233,plain,( 22.62/3.21 spl30_202 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_202])])). 22.62/3.21 tff(f2207,plain,( 22.62/3.21 ( ! [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_101), 22.62/3.21 inference(resolution,[],[f1219,f418])). 22.62/3.21 tff(f2231,plain,( 22.62/3.21 spl30_102 | spl30_201 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2206,f1218,f2229,f1222])). 22.62/3.21 tff(f2229,plain,( 22.62/3.21 spl30_201 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_201])])). 22.62/3.21 tff(f2206,plain,( 22.62/3.21 ( ! [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_101), 22.62/3.21 inference(resolution,[],[f1219,f417])). 22.62/3.21 tff(f2227,plain,( 22.62/3.21 spl30_102 | spl30_200 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2204,f1218,f2224,f1222])). 22.62/3.21 tff(f2224,plain,( 22.62/3.21 spl30_200 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_200])])). 22.62/3.21 tff(f2204,plain,( 22.62/3.21 ( ! [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),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X25,0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f453])). 22.62/3.21 tff(f2226,plain,( 22.62/3.21 spl30_102 | spl30_200 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2203,f1218,f2224,f1222])). 22.62/3.21 tff(f2203,plain,( 22.62/3.21 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f453])). 22.62/3.21 tff(f2222,plain,( 22.62/3.21 spl30_102 | spl30_199 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2202,f1218,f2220,f1222])). 22.62/3.21 tff(f2220,plain,( 22.62/3.21 spl30_199 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_199])])). 22.62/3.21 tff(f2202,plain,( 22.62/3.21 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f368])). 22.62/3.21 tff(f2218,plain,( 22.62/3.21 spl30_102 | spl30_198 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2201,f1218,f2216,f1222])). 22.62/3.21 tff(f2216,plain,( 22.62/3.21 spl30_198 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_198])])). 22.62/3.21 tff(f2201,plain,( 22.62/3.21 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f461])). 22.62/3.21 tff(f2214,plain,( 22.62/3.21 spl30_102 | spl30_197 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2200,f1218,f2211,f1222])). 22.62/3.21 tff(f2211,plain,( 22.62/3.21 spl30_197 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_197])])). 22.62/3.21 tff(f2200,plain,( 22.62/3.21 ( ! [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),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) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X9,0) | ~$less(X9,9) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f440])). 22.62/3.21 tff(f2213,plain,( 22.62/3.21 spl30_102 | spl30_197 | ~spl30_101), 22.62/3.21 inference(avatar_split_clause,[],[f2199,f1218,f2211,f1222])). 22.62/3.21 tff(f2199,plain,( 22.62/3.21 ( ! [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),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),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) | $less(X4,0) | ~$less(X4,9) | $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_101), 22.62/3.21 inference(resolution,[],[f1219,f440])). 22.62/3.21 tff(f2198,plain,( 22.62/3.21 spl30_100 | spl30_196 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2167,f1210,f2196,f1214])). 22.62/3.21 tff(f2196,plain,( 22.62/3.21 spl30_196 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_196])])). 22.62/3.21 tff(f2167,plain,( 22.62/3.21 ( ! [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_99), 22.62/3.21 inference(resolution,[],[f1211,f419])). 22.62/3.21 tff(f2194,plain,( 22.62/3.21 spl30_100 | spl30_195 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2166,f1210,f2192,f1214])). 22.62/3.21 tff(f2192,plain,( 22.62/3.21 spl30_195 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_195])])). 22.62/3.21 tff(f2166,plain,( 22.62/3.21 ( ! [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_99), 22.62/3.21 inference(resolution,[],[f1211,f418])). 22.62/3.21 tff(f2190,plain,( 22.62/3.21 spl30_100 | spl30_194 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2165,f1210,f2188,f1214])). 22.62/3.21 tff(f2188,plain,( 22.62/3.21 spl30_194 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_194])])). 22.62/3.21 tff(f2165,plain,( 22.62/3.21 ( ! [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_99), 22.62/3.21 inference(resolution,[],[f1211,f417])). 22.62/3.21 tff(f2186,plain,( 22.62/3.21 spl30_100 | spl30_193 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2163,f1210,f2183,f1214])). 22.62/3.21 tff(f2183,plain,( 22.62/3.21 spl30_193 <=> ! [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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_193])])). 22.62/3.21 tff(f2163,plain,( 22.62/3.21 ( ! [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),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X25,0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f453])). 22.62/3.21 tff(f2185,plain,( 22.62/3.21 spl30_100 | spl30_193 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2162,f1210,f2183,f1214])). 22.62/3.21 tff(f2162,plain,( 22.62/3.21 ( ! [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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($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))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f453])). 22.62/3.21 tff(f2181,plain,( 22.62/3.21 spl30_100 | spl30_192 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2161,f1210,f2179,f1214])). 22.62/3.21 tff(f2179,plain,( 22.62/3.21 spl30_192 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($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)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_192])])). 22.62/3.21 tff(f2161,plain,( 22.62/3.21 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($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) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f368])). 22.62/3.21 tff(f2177,plain,( 22.62/3.21 spl30_100 | spl30_191 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2160,f1210,f2175,f1214])). 22.62/3.21 tff(f2175,plain,( 22.62/3.21 spl30_191 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_191])])). 22.62/3.21 tff(f2160,plain,( 22.62/3.21 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$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) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~is_index1($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)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f461])). 22.62/3.21 tff(f2173,plain,( 22.62/3.21 spl30_100 | spl30_190 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2159,f1210,f2170,f1214])). 22.62/3.21 tff(f2170,plain,( 22.62/3.21 spl30_190 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_190])])). 22.62/3.21 tff(f2159,plain,( 22.62/3.21 ( ! [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),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) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X9,0) | ~$less(X9,9) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f440])). 22.62/3.21 tff(f2172,plain,( 22.62/3.21 spl30_100 | spl30_190 | ~spl30_99), 22.62/3.21 inference(avatar_split_clause,[],[f2158,f1210,f2170,f1214])). 22.62/3.21 tff(f2158,plain,( 22.62/3.21 ( ! [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),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),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) | $less(X4,0) | ~$less(X4,9) | $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_99), 22.62/3.21 inference(resolution,[],[f1211,f440])). 22.62/3.21 tff(f2145,plain,( 22.62/3.21 ~spl30_161 | spl30_162 | spl30_153), 22.62/3.21 inference(avatar_split_clause,[],[f2142,f1578,f1836,f1832])). 22.62/3.21 tff(f1832,plain,( 22.62/3.21 spl30_161 <=> $less(sK15(sK13),81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_161])])). 22.62/3.21 tff(f1578,plain,( 22.62/3.21 spl30_153 <=> is_index1(sK15(sK13))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_153])])). 22.62/3.21 tff(f2142,plain,( 22.62/3.21 $less(sK15(sK13),0) | ~$less(sK15(sK13),81) | spl30_153), 22.62/3.21 inference(resolution,[],[f1912,f356])). 22.62/3.21 tff(f1912,plain,( 22.62/3.21 ~is_index1(sK15(sK13)) | spl30_153), 22.62/3.21 inference(avatar_component_clause,[],[f1578])). 22.62/3.21 tff(f2140,plain,( 22.62/3.21 spl30_92 | spl30_189 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2109,f1173,f2138,f1159])). 22.62/3.21 tff(f2138,plain,( 22.62/3.21 spl30_189 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X33,X34,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_189])])). 22.62/3.21 tff(f2109,plain,( 22.62/3.21 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f419])). 22.62/3.21 tff(f2136,plain,( 22.62/3.21 spl30_92 | spl30_188 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2108,f1173,f2134,f1159])). 22.62/3.21 tff(f2134,plain,( 22.62/3.21 spl30_188 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X31,X32,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_188])])). 22.62/3.21 tff(f2108,plain,( 22.62/3.21 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f418])). 22.62/3.21 tff(f2132,plain,( 22.62/3.21 spl30_92 | spl30_187 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2107,f1173,f2130,f1159])). 22.62/3.21 tff(f2130,plain,( 22.62/3.21 spl30_187 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~valid_up_to1(X29,X30,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_187])])). 22.62/3.21 tff(f2107,plain,( 22.62/3.21 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f417])). 22.62/3.21 tff(f2128,plain,( 22.62/3.21 spl30_92 | spl30_186 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2105,f1173,f2125,f1159])). 22.62/3.21 tff(f2125,plain,( 22.62/3.21 spl30_186 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(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),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_186])])). 22.62/3.21 tff(f2105,plain,( 22.62/3.21 ( ! [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),sK18(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),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK18(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(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X25,0) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f453])). 22.62/3.21 tff(f2127,plain,( 22.62/3.21 spl30_92 | spl30_186 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2104,f1173,f2125,f1159])). 22.62/3.21 tff(f2104,plain,( 22.62/3.21 ( ! [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),sK18(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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f453])). 22.62/3.21 tff(f2123,plain,( 22.62/3.21 spl30_92 | spl30_185 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2103,f1173,f2121,f1159])). 22.62/3.21 tff(f2121,plain,( 22.62/3.21 spl30_185 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_185])])). 22.62/3.21 tff(f2103,plain,( 22.62/3.21 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X14) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f368])). 22.62/3.21 tff(f2119,plain,( 22.62/3.21 spl30_92 | spl30_184 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2102,f1173,f2117,f1159])). 22.62/3.21 tff(f2117,plain,( 22.62/3.21 spl30_184 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_184])])). 22.62/3.21 tff(f2102,plain,( 22.62/3.21 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~is_index1(X11) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f461])). 22.62/3.21 tff(f2115,plain,( 22.62/3.21 spl30_92 | spl30_183 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2101,f1173,f2112,f1159])). 22.62/3.21 tff(f2112,plain,( 22.62/3.21 spl30_183 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(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),sK18(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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_183])])). 22.62/3.21 tff(f2101,plain,( 22.62/3.21 ( ! [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),sK18(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),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | $less(X9,0) | ~$less(X9,9) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f440])). 22.62/3.21 tff(f2114,plain,( 22.62/3.21 spl30_92 | spl30_183 | ~spl30_95), 22.62/3.21 inference(avatar_split_clause,[],[f2100,f1173,f2112,f1159])). 22.62/3.21 tff(f2100,plain,( 22.62/3.21 ( ! [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),sK18(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),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),sK18(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),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(X4,0) | ~$less(X4,9) | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_95), 22.62/3.21 inference(resolution,[],[f1174,f440])). 22.62/3.21 tff(f2099,plain,( 22.62/3.21 spl30_86 | spl30_182 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2068,f1129,f2097,f1115])). 22.62/3.21 tff(f2097,plain,( 22.62/3.21 spl30_182 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X33,X34,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_182])])). 22.62/3.21 tff(f2068,plain,( 22.62/3.21 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f419])). 22.62/3.21 tff(f2095,plain,( 22.62/3.21 spl30_86 | spl30_181 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2067,f1129,f2093,f1115])). 22.62/3.21 tff(f2093,plain,( 22.62/3.21 spl30_181 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X31,X32,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_181])])). 22.62/3.21 tff(f2067,plain,( 22.62/3.21 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f418])). 22.62/3.21 tff(f2091,plain,( 22.62/3.21 spl30_86 | spl30_180 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2066,f1129,f2089,f1115])). 22.62/3.21 tff(f2089,plain,( 22.62/3.21 spl30_180 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~valid_up_to1(X29,X30,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_180])])). 22.62/3.21 tff(f2066,plain,( 22.62/3.21 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f417])). 22.62/3.21 tff(f2087,plain,( 22.62/3.21 spl30_86 | spl30_179 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2064,f1129,f2084,f1115])). 22.62/3.21 tff(f2084,plain,( 22.62/3.21 spl30_179 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(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),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_179])])). 22.62/3.21 tff(f2064,plain,( 22.62/3.21 ( ! [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),sK18(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),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK18(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(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X25,0) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f453])). 22.62/3.21 tff(f2086,plain,( 22.62/3.21 spl30_86 | spl30_179 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2063,f1129,f2084,f1115])). 22.62/3.21 tff(f2063,plain,( 22.62/3.21 ( ! [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),sK18(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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f453])). 22.62/3.21 tff(f2082,plain,( 22.62/3.21 spl30_86 | spl30_178 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2062,f1129,f2080,f1115])). 22.62/3.21 tff(f2080,plain,( 22.62/3.21 spl30_178 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_178])])). 22.62/3.21 tff(f2062,plain,( 22.62/3.21 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X14) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f368])). 22.62/3.21 tff(f2078,plain,( 22.62/3.21 spl30_86 | spl30_177 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2061,f1129,f2076,f1115])). 22.62/3.21 tff(f2076,plain,( 22.62/3.21 spl30_177 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_177])])). 22.62/3.21 tff(f2061,plain,( 22.62/3.21 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~is_index1(X11) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f461])). 22.62/3.21 tff(f2074,plain,( 22.62/3.21 spl30_86 | spl30_176 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2060,f1129,f2071,f1115])). 22.62/3.21 tff(f2071,plain,( 22.62/3.21 spl30_176 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(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),sK18(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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_176])])). 22.62/3.21 tff(f2060,plain,( 22.62/3.21 ( ! [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),sK18(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),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | $less(X9,0) | ~$less(X9,9) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f440])). 22.62/3.21 tff(f2073,plain,( 22.62/3.21 spl30_86 | spl30_176 | ~spl30_89), 22.62/3.21 inference(avatar_split_clause,[],[f2059,f1129,f2071,f1115])). 22.62/3.21 tff(f2059,plain,( 22.62/3.21 ( ! [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),sK18(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),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),sK18(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),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | $less(X4,0) | ~$less(X4,9) | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_89), 22.62/3.21 inference(resolution,[],[f1130,f440])). 22.62/3.21 tff(f2058,plain,( 22.62/3.21 spl30_80 | spl30_175 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2027,f1085,f2056,f1071])). 22.62/3.21 tff(f2056,plain,( 22.62/3.21 spl30_175 <=> ! [X34 : map_int_int,X33 : sudoku_chunks1] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X33,X34,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_175])])). 22.62/3.21 tff(f2027,plain,( 22.62/3.21 ( ! [X33:sudoku_chunks1,X34:map_int_int] : (valid_column1(X33,X34,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X33,X34,9)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f419])). 22.62/3.21 tff(f2054,plain,( 22.62/3.21 spl30_80 | spl30_174 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2026,f1085,f2052,f1071])). 22.62/3.21 tff(f2052,plain,( 22.62/3.21 spl30_174 <=> ! [X32 : map_int_int,X31 : sudoku_chunks1] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X31,X32,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_174])])). 22.62/3.21 tff(f2026,plain,( 22.62/3.21 ( ! [X31:sudoku_chunks1,X32:map_int_int] : (valid_row1(X31,X32,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X31,X32,9)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f418])). 22.62/3.21 tff(f2050,plain,( 22.62/3.21 spl30_80 | spl30_173 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2025,f1085,f2048,f1071])). 22.62/3.21 tff(f2048,plain,( 22.62/3.21 spl30_173 <=> ! [X29 : sudoku_chunks1,X30 : map_int_int] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~valid_up_to1(X29,X30,9))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_173])])). 22.62/3.21 tff(f2025,plain,( 22.62/3.21 ( ! [X30:map_int_int,X29:sudoku_chunks1] : (valid_square1(X29,X30,sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~valid_up_to1(X29,X30,9)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f417])). 22.62/3.21 tff(f2046,plain,( 22.62/3.21 spl30_80 | spl30_172 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2023,f1085,f2043,f1071])). 22.62/3.21 tff(f2043,plain,( 22.62/3.21 spl30_172 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk_up_to1(X16,X18,X17,X19,9) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~$less(X20,9) | $less(X20,0) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(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),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_172])])). 22.62/3.21 tff(f2023,plain,( 22.62/3.21 ( ! [X24:array_int,X23:$int,X21:map_int_int,X25:$int,X22:array_int] : (tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) != tb2t1(get(int,int,t2tb(X21),t2tb1($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),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X21),t2tb1($sum(tb2t1(get2(int,t2tb2(X22),X23)),tb2t1(get2(int,t2tb2(X24),sK18(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(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X25,0) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X25 | ~$less(X25,9) | ~valid_chunk_up_to1(X21,X23,X22,X24,9)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f453])). 22.62/3.21 tff(f2045,plain,( 22.62/3.21 spl30_80 | spl30_172 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2022,f1085,f2043,f1071])). 22.62/3.21 tff(f2022,plain,( 22.62/3.21 ( ! [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),sK18(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),X20)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),X20))))))) | $less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(tb2t1(get2(int,t2tb2(X17),X18)),tb2t1(get2(int,t2tb2(X19),sK18(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),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(X20,0) | ~$less(X20,9) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X20 | ~valid_chunk_up_to1(X16,X18,X17,X19,9)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f453])). 22.62/3.21 tff(f2041,plain,( 22.62/3.21 spl30_80 | spl30_171 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2021,f1085,f2039,f1071])). 22.62/3.21 tff(f2039,plain,( 22.62/3.21 spl30_171 <=> ! [X13 : array_int,X15 : array_int,X14 : $int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~chunk_valid_indexes1(X13,X15) | ~is_index1(X14))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_171])])). 22.62/3.21 tff(f2021,plain,( 22.62/3.21 ( ! [X14:$int,X15:array_int,X13:array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X13),X14)),tb2t1(get2(int,t2tb2(X15),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X14) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~chunk_valid_indexes1(X13,X15)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f368])). 22.62/3.21 tff(f2037,plain,( 22.62/3.21 spl30_80 | spl30_170 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2020,f1085,f2035,f1071])). 22.62/3.21 tff(f2035,plain,( 22.62/3.21 spl30_170 <=> ! [X11 : $int,X10 : array_int,X12 : array_int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~disjoint_chunks1(X10,X12) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_170])])). 22.62/3.21 tff(f2020,plain,( 22.62/3.21 ( ! [X12:array_int,X10:array_int,X11:$int] : (tb2t1(get2(int,t2tb2(X10),X11)) = tb2t1(get2(int,t2tb2(X10),$sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~is_index1(X11) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~disjoint_chunks1(X10,X12)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f461])). 22.62/3.21 tff(f2033,plain,( 22.62/3.21 spl30_80 | spl30_169 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2019,f1085,f2030,f1071])). 22.62/3.21 tff(f2030,plain,( 22.62/3.21 spl30_169 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~valid_chunk1(X0,X2,X1,X3) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~$less(X4,9) | $less(X4,0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK18(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),sK18(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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_169])])). 22.62/3.21 tff(f2019,plain,( 22.62/3.21 ( ! [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),sK18(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),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | $less(X9,0) | ~$less(X9,9) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X9 | ~valid_chunk1(X5,X7,X6,X8)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f440])). 22.62/3.21 tff(f2032,plain,( 22.62/3.21 spl30_80 | spl30_169 | ~spl30_83), 22.62/3.21 inference(avatar_split_clause,[],[f2018,f1085,f2030,f1071])). 22.62/3.21 tff(f2018,plain,( 22.62/3.21 ( ! [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),sK18(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),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),sK18(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),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(X4,0) | ~$less(X4,9) | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) = X4 | ~valid_chunk1(X0,X2,X1,X3)) ) | ~spl30_83), 22.62/3.21 inference(resolution,[],[f1086,f440])). 22.62/3.21 tff(f2005,plain,( 22.62/3.21 spl30_168 | ~spl30_130), 22.62/3.21 inference(avatar_split_clause,[],[f2001,f1450,f2003])). 22.62/3.21 tff(f2001,plain,( 22.62/3.21 9 = length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~spl30_130), 22.62/3.21 inference(forward_demodulation,[],[f1994,f337])). 22.62/3.21 tff(f337,plain,( 22.62/3.21 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 22.62/3.21 inference(cnf_transformation,[],[f82])). 22.62/3.21 tff(f82,plain,( 22.62/3.21 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 22.62/3.21 inference(rectify,[],[f17])). 22.62/3.21 tff(f17,axiom,( 22.62/3.21 ! [X3 : uni] : t2tb2(tb2t2(X3)) = X3), 22.62/3.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 22.62/3.21 tff(f1994,plain,( 22.62/3.21 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_130), 22.62/3.21 inference(resolution,[],[f1451,f380])). 22.62/3.21 tff(f380,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (9 = length1(int,t2tb2(X1)) | ~disjoint_chunks1(X0,X1)) )), 22.62/3.21 inference(cnf_transformation,[],[f189])). 22.62/3.21 tff(f2000,plain,( 22.62/3.21 spl30_167 | ~spl30_130), 22.62/3.21 inference(avatar_split_clause,[],[f1996,f1450,f1998])). 22.62/3.21 tff(f1996,plain,( 22.62/3.21 81 = length1(int,mk_array1(int,sK0,t2tb(sK1))) | ~spl30_130), 22.62/3.21 inference(forward_demodulation,[],[f1993,f337])). 22.62/3.21 tff(f1993,plain,( 22.62/3.21 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | ~spl30_130), 22.62/3.21 inference(resolution,[],[f1451,f379])). 22.62/3.21 tff(f379,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (81 = length1(int,t2tb2(X0)) | ~disjoint_chunks1(X0,X1)) )), 22.62/3.21 inference(cnf_transformation,[],[f189])). 22.62/3.21 tff(f1972,plain,( 22.62/3.21 spl30_166 | ~spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1968,f593,f1970])). 22.62/3.21 tff(f1968,plain,( 22.62/3.21 9 = length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1960,f337])). 22.62/3.21 tff(f1960,plain,( 22.62/3.21 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_7), 22.62/3.21 inference(resolution,[],[f1433,f367])). 22.62/3.21 tff(f367,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (9 = length1(int,t2tb2(X1)) | ~chunk_valid_indexes1(X0,X1)) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f1967,plain,( 22.62/3.21 spl30_165 | ~spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1963,f593,f1965])). 22.62/3.21 tff(f1963,plain,( 22.62/3.21 81 = length1(int,mk_array1(int,sK8,t2tb(sK9))) | ~spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1959,f337])). 22.62/3.21 tff(f1959,plain,( 22.62/3.21 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | ~spl30_7), 22.62/3.21 inference(resolution,[],[f1433,f366])). 22.62/3.21 tff(f366,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (81 = length1(int,t2tb2(X0)) | ~chunk_valid_indexes1(X0,X1)) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f1953,plain,( 22.62/3.21 spl30_164 | ~spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1949,f584,f1951])). 22.62/3.21 tff(f1949,plain,( 22.62/3.21 9 = length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1941,f337])). 22.62/3.21 tff(f1941,plain,( 22.62/3.21 9 = length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_4), 22.62/3.21 inference(resolution,[],[f1429,f367])). 22.62/3.21 tff(f1948,plain,( 22.62/3.21 spl30_163 | ~spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1944,f584,f1946])). 22.62/3.21 tff(f1944,plain,( 22.62/3.21 81 = length1(int,mk_array1(int,sK4,t2tb(sK5))) | ~spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1940,f337])). 22.62/3.21 tff(f1940,plain,( 22.62/3.21 81 = length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | ~spl30_4), 22.62/3.21 inference(resolution,[],[f1429,f366])). 22.62/3.21 tff(f1913,plain,( 22.62/3.21 spl30_154 | spl30_136 | ~spl30_153 | ~spl30_8), 22.62/3.21 inference(avatar_split_clause,[],[f1897,f596,f1578,f1486,f1582])). 22.62/3.21 tff(f1582,plain,( 22.62/3.21 spl30_154 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_154])])). 22.62/3.21 tff(f1486,plain,( 22.62/3.21 spl30_136 <=> full1(sK13)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 22.62/3.21 tff(f1897,plain,( 22.62/3.21 ~is_index1(sK15(sK13)) | full1(sK13) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1) | ~spl30_8), 22.62/3.21 inference(resolution,[],[f708,f348])). 22.62/3.21 tff(f348,plain,( 22.62/3.21 ( ! [X0:map_int_int] : (full1(X0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK15(X0)))),1)) )), 22.62/3.21 inference(cnf_transformation,[],[f171])). 22.62/3.21 tff(f708,plain,( 22.62/3.21 ( ! [X0:$int] : (~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(X0)))) | ~is_index1(X0)) ) | ~spl30_8), 22.62/3.21 inference(resolution,[],[f686,f361])). 22.62/3.21 tff(f1838,plain,( 22.62/3.21 ~spl30_162 | ~spl30_153), 22.62/3.21 inference(avatar_split_clause,[],[f1821,f1578,f1836])). 22.62/3.21 tff(f1821,plain,( 22.62/3.21 ~$less(sK15(sK13),0) | ~spl30_153), 22.62/3.21 inference(resolution,[],[f1579,f358])). 22.62/3.21 tff(f1579,plain,( 22.62/3.21 is_index1(sK15(sK13)) | ~spl30_153), 22.62/3.21 inference(avatar_component_clause,[],[f1578])). 22.62/3.21 tff(f1834,plain,( 22.62/3.21 spl30_161 | ~spl30_153), 22.62/3.21 inference(avatar_split_clause,[],[f1820,f1578,f1832])). 22.62/3.21 tff(f1820,plain,( 22.62/3.21 $less(sK15(sK13),81) | ~spl30_153), 22.62/3.21 inference(resolution,[],[f1579,f357])). 22.62/3.21 tff(f1711,plain,( 22.62/3.21 ~spl30_72 | spl30_71), 22.62/3.21 inference(avatar_split_clause,[],[f1707,f1029,f1032])). 22.62/3.21 tff(f1032,plain,( 22.62/3.21 spl30_72 <=> is_index1(sK2)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_72])])). 22.62/3.21 tff(f1029,plain,( 22.62/3.21 spl30_71 <=> $less(sK2,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 22.62/3.21 tff(f1707,plain,( 22.62/3.21 ~is_index1(sK2) | spl30_71), 22.62/3.21 inference(resolution,[],[f1030,f357])). 22.62/3.21 tff(f1030,plain,( 22.62/3.21 ~$less(sK2,81) | spl30_71), 22.62/3.21 inference(avatar_component_clause,[],[f1029])). 22.62/3.21 tff(f1692,plain,( 22.62/3.21 ~spl30_63 | spl30_62), 22.62/3.21 inference(avatar_split_clause,[],[f1688,f980,f983])). 22.62/3.21 tff(f980,plain,( 22.62/3.21 spl30_62 <=> $less(sK6,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 22.62/3.21 tff(f1688,plain,( 22.62/3.21 ~is_index1(sK6) | spl30_62), 22.62/3.21 inference(resolution,[],[f981,f357])). 22.62/3.21 tff(f981,plain,( 22.62/3.21 ~$less(sK6,81) | spl30_62), 22.62/3.21 inference(avatar_component_clause,[],[f980])). 22.62/3.21 tff(f1674,plain,( 22.62/3.21 ~spl30_54 | spl30_53), 22.62/3.21 inference(avatar_split_clause,[],[f1670,f875,f878])). 22.62/3.21 tff(f878,plain,( 22.62/3.21 spl30_54 <=> is_index1(sK10)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 22.62/3.21 tff(f875,plain,( 22.62/3.21 spl30_53 <=> $less(sK10,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 22.62/3.21 tff(f1670,plain,( 22.62/3.21 ~is_index1(sK10) | spl30_53), 22.62/3.21 inference(resolution,[],[f876,f357])). 22.62/3.21 tff(f876,plain,( 22.62/3.21 ~$less(sK10,81) | spl30_53), 22.62/3.21 inference(avatar_component_clause,[],[f875])). 22.62/3.21 tff(f1656,plain,( 22.62/3.21 ~spl30_45 | spl30_44), 22.62/3.21 inference(avatar_split_clause,[],[f1652,f826,f829])). 22.62/3.21 tff(f829,plain,( 22.62/3.21 spl30_45 <=> is_index1(sK8)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 22.62/3.21 tff(f826,plain,( 22.62/3.21 spl30_44 <=> $less(sK8,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_44])])). 22.62/3.21 tff(f1652,plain,( 22.62/3.21 ~is_index1(sK8) | spl30_44), 22.62/3.21 inference(resolution,[],[f827,f357])). 22.62/3.21 tff(f827,plain,( 22.62/3.21 ~$less(sK8,81) | spl30_44), 22.62/3.21 inference(avatar_component_clause,[],[f826])). 22.62/3.21 tff(f1637,plain,( 22.62/3.21 ~spl30_36 | spl30_35), 22.62/3.21 inference(avatar_split_clause,[],[f1633,f777,f780])). 22.62/3.21 tff(f777,plain,( 22.62/3.21 spl30_35 <=> $less(sK4,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 22.62/3.21 tff(f1633,plain,( 22.62/3.21 ~is_index1(sK4) | spl30_35), 22.62/3.21 inference(resolution,[],[f778,f357])). 22.62/3.21 tff(f778,plain,( 22.62/3.21 ~$less(sK4,81) | spl30_35), 22.62/3.21 inference(avatar_component_clause,[],[f777])). 22.62/3.21 tff(f1619,plain,( 22.62/3.21 ~spl30_27 | spl30_26), 22.62/3.21 inference(avatar_split_clause,[],[f1615,f728,f731])). 22.62/3.21 tff(f731,plain,( 22.62/3.21 spl30_27 <=> is_index1(sK0)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 22.62/3.21 tff(f728,plain,( 22.62/3.21 spl30_26 <=> $less(sK0,81)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 22.62/3.21 tff(f1615,plain,( 22.62/3.21 ~is_index1(sK0) | spl30_26), 22.62/3.21 inference(resolution,[],[f729,f357])). 22.62/3.21 tff(f729,plain,( 22.62/3.21 ~$less(sK0,81) | spl30_26), 22.62/3.21 inference(avatar_component_clause,[],[f728])). 22.62/3.21 tff(f1611,plain,( 22.62/3.21 ~spl30_158 | ~spl30_159 | ~spl30_160 | spl30_5), 22.62/3.21 inference(avatar_split_clause,[],[f1593,f587,f1609,f1606,f1603])). 22.62/3.21 tff(f587,plain,( 22.62/3.21 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,$sum(sK14,1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 22.62/3.21 tff(f1593,plain,( 22.62/3.21 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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), 22.62/3.21 inference(resolution,[],[f588,f416])). 22.62/3.21 tff(f416,plain,( 22.62/3.21 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~valid_column1(X0,X1,sK24(X0,X1,X2)) | ~valid_row1(X0,X1,sK24(X0,X1,X2)) | ~valid_square1(X0,X1,sK24(X0,X1,X2))) )), 22.62/3.21 inference(cnf_transformation,[],[f206])). 22.62/3.21 tff(f588,plain,( 22.62/3.21 ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | spl30_5), 22.62/3.21 inference(avatar_component_clause,[],[f587])). 22.62/3.21 tff(f1601,plain,( 22.62/3.21 ~spl30_157 | spl30_5), 22.62/3.21 inference(avatar_split_clause,[],[f1592,f587,f1599])). 22.62/3.21 tff(f1592,plain,( 22.62/3.21 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | spl30_5), 22.62/3.21 inference(resolution,[],[f588,f415])). 22.62/3.21 tff(f1597,plain,( 22.62/3.21 spl30_156 | spl30_5), 22.62/3.21 inference(avatar_split_clause,[],[f1591,f587,f1595])). 22.62/3.21 tff(f1591,plain,( 22.62/3.21 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | spl30_5), 22.62/3.21 inference(resolution,[],[f588,f414])). 22.62/3.21 tff(f414,plain,( 22.62/3.21 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | $less(sK24(X0,X1,X2),X2)) )), 22.62/3.21 inference(cnf_transformation,[],[f206])). 22.62/3.21 tff(f1587,plain,( 22.62/3.21 spl30_154 | spl30_155 | spl30_136), 22.62/3.21 inference(avatar_split_clause,[],[f1576,f1486,f1585,f1582])). 22.62/3.21 tff(f1585,plain,( 22.62/3.21 spl30_155 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_155])])). 22.62/3.21 tff(f1576,plain,( 22.62/3.21 $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1) | spl30_136), 22.62/3.21 inference(resolution,[],[f1487,f348])). 22.62/3.21 tff(f1487,plain,( 22.62/3.21 ~full1(sK13) | spl30_136), 22.62/3.21 inference(avatar_component_clause,[],[f1486])). 22.62/3.21 tff(f1580,plain,( 22.62/3.21 spl30_153 | spl30_136), 22.62/3.21 inference(avatar_split_clause,[],[f1575,f1486,f1578])). 22.62/3.21 tff(f1575,plain,( 22.62/3.21 is_index1(sK15(sK13)) | spl30_136), 22.62/3.21 inference(resolution,[],[f1487,f347])). 22.62/3.21 tff(f347,plain,( 22.62/3.21 ( ! [X0:map_int_int] : (full1(X0) | is_index1(sK15(X0))) )), 22.62/3.21 inference(cnf_transformation,[],[f171])). 22.62/3.21 tff(f1569,plain,( 22.62/3.21 ~spl30_146 | spl30_152 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1540,f620,f1567,f1544])). 22.62/3.21 tff(f1544,plain,( 22.62/3.21 spl30_146 <=> $less(sK14,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 22.62/3.21 tff(f1567,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_152])])). 22.62/3.21 tff(f1540,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14))))) | ~is_index1(X43) | ~$less(sK14,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_15), 22.62/3.21 inference(resolution,[],[f621,f461])). 22.62/3.21 tff(f1565,plain,( 22.62/3.21 ~spl30_146 | spl30_151 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1537,f620,f1562,f1544])). 22.62/3.21 tff(f1562,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK14 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK14))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK14)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_151])])). 22.62/3.21 tff(f1537,plain,( 22.62/3.21 ( ! [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),sK14)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK14,9) | sK14 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_15), 22.62/3.21 inference(resolution,[],[f621,f440])). 22.62/3.21 tff(f1564,plain,( 22.62/3.21 ~spl30_146 | spl30_151 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1536,f620,f1562,f1544])). 22.62/3.21 tff(f1536,plain,( 22.62/3.21 ( ! [X24:$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),sK14)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK14,9) | $less(X24,0) | ~$less(X24,9) | sK14 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_15), 22.62/3.21 inference(resolution,[],[f621,f440])). 22.62/3.21 tff(f1560,plain,( 22.62/3.21 spl30_148 | spl30_150 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1535,f620,f1558,f1551])). 22.62/3.21 tff(f1558,plain,( 22.62/3.21 spl30_150 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK14,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_150])])). 22.62/3.21 tff(f1535,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK14,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK14)) ) | spl30_15), 22.62/3.21 inference(resolution,[],[f621,f425])). 22.62/3.21 tff(f1556,plain,( 22.62/3.21 spl30_148 | spl30_149 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1534,f620,f1554,f1551])). 22.62/3.21 tff(f1554,plain,( 22.62/3.21 spl30_149 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK14) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_149])])). 22.62/3.21 tff(f1534,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK14) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK14) | $less(81,X16)) ) | spl30_15), 22.62/3.21 inference(resolution,[],[f621,f425])). 22.62/3.21 tff(f1549,plain,( 22.62/3.21 ~spl30_146 | spl30_147 | spl30_15), 22.62/3.21 inference(avatar_split_clause,[],[f1529,f620,f1547,f1544])). 22.62/3.21 tff(f1547,plain,( 22.62/3.21 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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_147])])). 22.62/3.21 tff(f1529,plain,( 22.62/3.21 ( ! [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_15), 22.62/3.21 inference(resolution,[],[f621,f368])). 22.62/3.21 tff(f1526,plain,( 22.62/3.21 ~spl30_10 | ~spl30_2 | spl30_145 | ~spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1409,f581,f1524,f578,f602])). 22.62/3.21 tff(f1409,plain,( 22.62/3.21 ( ! [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_3), 22.62/3.21 inference(resolution,[],[f661,f365])). 22.62/3.21 tff(f661,plain,( 22.62/3.21 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_3), 22.62/3.21 inference(avatar_component_clause,[],[f581])). 22.62/3.21 tff(f1522,plain,( 22.62/3.21 ~spl30_10 | ~spl30_4 | spl30_144 | ~spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1390,f599,f1520,f584,f602])). 22.62/3.21 tff(f1390,plain,( 22.62/3.21 ( ! [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_9), 22.62/3.21 inference(resolution,[],[f649,f365])). 22.62/3.21 tff(f1518,plain,( 22.62/3.21 ~spl30_10 | ~spl30_7 | spl30_143 | ~spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1378,f590,f1516,f593,f602])). 22.62/3.21 tff(f1378,plain,( 22.62/3.21 ( ! [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_6), 22.62/3.21 inference(resolution,[],[f642,f365])). 22.62/3.21 tff(f1514,plain,( 22.62/3.21 ~spl30_140 | ~spl30_141 | ~spl30_142 | spl30_1), 22.62/3.21 inference(avatar_split_clause,[],[f1498,f575,f1512,f1509,f1506])). 22.62/3.21 tff(f1498,plain,( 22.62/3.21 ~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,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), 22.62/3.21 inference(resolution,[],[f576,f416])). 22.62/3.21 tff(f576,plain,( 22.62/3.21 ~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_1), 22.62/3.21 inference(avatar_component_clause,[],[f575])). 22.62/3.21 tff(f1504,plain,( 22.62/3.21 ~spl30_139 | spl30_1), 22.62/3.21 inference(avatar_split_clause,[],[f1497,f575,f1500])). 22.62/3.21 tff(f1497,plain,( 22.62/3.21 ~$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_1), 22.62/3.21 inference(resolution,[],[f576,f415])). 22.62/3.21 tff(f1502,plain,( 22.62/3.21 spl30_139 | spl30_1), 22.62/3.21 inference(avatar_split_clause,[],[f1496,f575,f1500])). 22.62/3.21 tff(f1496,plain,( 22.62/3.21 $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_1), 22.62/3.21 inference(resolution,[],[f576,f414])). 22.62/3.21 tff(f1495,plain,( 22.62/3.21 ~spl30_22 | spl30_138 | ~spl30_12), 22.62/3.21 inference(avatar_split_clause,[],[f1481,f608,f1493,f691])). 22.62/3.21 tff(f1493,plain,( 22.62/3.21 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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 22.62/3.21 tff(f1481,plain,( 22.62/3.21 ( ! [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(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_12), 22.62/3.21 inference(resolution,[],[f635,f403])). 22.62/3.21 tff(f1491,plain,( 22.62/3.21 ~spl30_136 | spl30_137 | ~spl30_12), 22.62/3.21 inference(avatar_split_clause,[],[f1480,f608,f1489,f1486])). 22.62/3.21 tff(f1489,plain,( 22.62/3.21 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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_137])])). 22.62/3.21 tff(f1480,plain,( 22.62/3.21 ( ! [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) | ~full1(sK13) | ~included1(X0,sK13)) ) | ~spl30_12), 22.62/3.21 inference(resolution,[],[f635,f410])). 22.62/3.21 tff(f410,plain,( 22.62/3.21 ( ! [X2:map_int_int,X0:sudoku_chunks1,X1:map_int_int] : (is_solution_for1(X0,X1,X2) | ~valid1(X0,X1) | ~full1(X1) | ~included1(X2,X1)) )), 22.62/3.21 inference(cnf_transformation,[],[f202])). 22.62/3.21 tff(f202,plain,( 22.62/3.21 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (((valid1(X0,X1) & full1(X1) & included1(X2,X1)) | ~is_solution_for1(X0,X1,X2)) & (is_solution_for1(X0,X1,X2) | ~valid1(X0,X1) | ~full1(X1) | ~included1(X2,X1)))), 22.62/3.21 inference(flattening,[],[f201])). 22.62/3.21 tff(f201,plain,( 22.62/3.21 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (((valid1(X0,X1) & full1(X1) & included1(X2,X1)) | ~is_solution_for1(X0,X1,X2)) & (is_solution_for1(X0,X1,X2) | (~valid1(X0,X1) | ~full1(X1) | ~included1(X2,X1))))), 22.62/3.21 inference(nnf_transformation,[],[f111])). 22.62/3.21 tff(f111,plain,( 22.62/3.21 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : ((valid1(X0,X1) & full1(X1) & included1(X2,X1)) <=> is_solution_for1(X0,X1,X2))), 22.62/3.21 inference(rectify,[],[f37])). 22.62/3.21 tff(f37,axiom,( 22.62/3.21 ! [X0 : sudoku_chunks1,X45 : map_int_int,X46 : map_int_int] : ((valid1(X0,X45) & full1(X45) & included1(X46,X45)) <=> is_solution_for1(X0,X45,X46))), 22.62/3.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_solution_for_def)). 22.62/3.21 tff(f1479,plain,( 22.62/3.21 ~spl30_133 | ~spl30_134 | ~spl30_135 | spl30_12), 22.62/3.21 inference(avatar_split_clause,[],[f1460,f608,f1477,f1474,f1471])). 22.62/3.21 tff(f1460,plain,( 22.62/3.21 ~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,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_12), 22.62/3.21 inference(resolution,[],[f609,f383])). 22.62/3.21 tff(f609,plain,( 22.62/3.21 ~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_12), 22.62/3.21 inference(avatar_component_clause,[],[f608])). 22.62/3.21 tff(f1469,plain,( 22.62/3.21 spl30_132 | spl30_12), 22.62/3.21 inference(avatar_split_clause,[],[f1459,f608,f1467])). 22.62/3.21 tff(f1459,plain,( 22.62/3.21 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_12), 22.62/3.21 inference(resolution,[],[f609,f382])). 22.62/3.21 tff(f382,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | is_index1(sK22(X0,X1))) )), 22.62/3.21 inference(cnf_transformation,[],[f193])). 22.62/3.21 tff(f1465,plain,( 22.62/3.21 ~spl30_22 | spl30_131 | spl30_12), 22.62/3.21 inference(avatar_split_clause,[],[f1458,f608,f1463,f691])). 22.62/3.21 tff(f1458,plain,( 22.62/3.21 ( ! [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_12), 22.62/3.21 inference(resolution,[],[f609,f403])). 22.62/3.21 tff(f1456,plain,( 22.62/3.21 spl30_2 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1454,f691,f578])). 22.62/3.21 tff(f1454,plain,( 22.62/3.21 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1453,f455])). 22.62/3.21 tff(f1453,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1425,f457])). 22.62/3.21 tff(f1425,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f354])). 22.62/3.21 tff(f354,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f173,plain,( 22.62/3.21 ! [X0 : sudoku_chunks1] : ((well_formed_sudoku1(X0) | ~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0))) & ((chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0))) | ~well_formed_sudoku1(X0)))), 22.62/3.21 inference(flattening,[],[f172])). 22.62/3.21 tff(f172,plain,( 22.62/3.21 ! [X0 : sudoku_chunks1] : ((well_formed_sudoku1(X0) | (~chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)))) & ((chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0))) | ~well_formed_sudoku1(X0)))), 22.62/3.21 inference(nnf_transformation,[],[f4])). 22.62/3.21 tff(f4,axiom,( 22.62/3.21 ! [X0 : sudoku_chunks1] : (well_formed_sudoku1(X0) <=> (chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(column_start1(X0),column_offsets1(X0)) & disjoint_chunks1(row_start1(X0),row_offsets1(X0)) & disjoint_chunks1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) & chunk_valid_indexes1(row_start1(X0),row_offsets1(X0))))), 22.62/3.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_formed_sudoku_def)). 22.62/3.21 tff(f1452,plain,( 22.62/3.21 spl30_130 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1448,f691,f1450])). 22.62/3.21 tff(f1448,plain,( 22.62/3.21 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1447,f455])). 22.62/3.21 tff(f1447,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1424,f457])). 22.62/3.21 tff(f1424,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f353])). 22.62/3.21 tff(f353,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f1446,plain,( 22.62/3.21 spl30_129 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1442,f691,f1444])). 22.62/3.21 tff(f1442,plain,( 22.62/3.21 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1441,f456])). 22.62/3.21 tff(f1441,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1423,f454])). 22.62/3.21 tff(f1423,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f352])). 22.62/3.21 tff(f352,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f1440,plain,( 22.62/3.21 spl30_128 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1436,f691,f1438])). 22.62/3.21 tff(f1436,plain,( 22.62/3.21 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1435,f458])). 22.62/3.21 tff(f1435,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1422,f459])). 22.62/3.21 tff(f1422,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f351])). 22.62/3.21 tff(f351,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f1434,plain,( 22.62/3.21 spl30_7 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1432,f691,f593])). 22.62/3.21 tff(f1432,plain,( 22.62/3.21 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1431,f458])). 22.62/3.21 tff(f1431,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1421,f459])). 22.62/3.21 tff(f1421,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f350])). 22.62/3.21 tff(f350,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f1430,plain,( 22.62/3.21 spl30_4 | ~spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f1428,f691,f584])). 22.62/3.21 tff(f1428,plain,( 22.62/3.21 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_22), 22.62/3.21 inference(forward_demodulation,[],[f1427,f456])). 22.62/3.21 tff(f1427,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(forward_demodulation,[],[f1420,f454])). 22.62/3.21 tff(f1420,plain,( 22.62/3.21 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_22), 22.62/3.21 inference(resolution,[],[f692,f349])). 22.62/3.21 tff(f349,plain,( 22.62/3.21 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 22.62/3.21 inference(cnf_transformation,[],[f173])). 22.62/3.21 tff(f1376,plain,( 22.62/3.21 spl30_127 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1372,f599,f1374])). 22.62/3.21 tff(f1372,plain,( 22.62/3.21 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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1371,f337])). 22.62/3.21 tff(f1371,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1326,f337])). 22.62/3.21 tff(f1326,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f439])). 22.62/3.21 tff(f439,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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)))))))) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1370,plain,( 22.62/3.21 ~spl30_126 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1366,f599,f1368])). 22.62/3.21 tff(f1366,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(forward_demodulation,[],[f1365,f337])). 22.62/3.21 tff(f1365,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(forward_demodulation,[],[f1325,f337])). 22.62/3.21 tff(f1325,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(resolution,[],[f600,f438])). 22.62/3.21 tff(f438,plain,( 22.62/3.21 ( ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1364,plain,( 22.62/3.21 ~spl30_125 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1360,f599,f1362])). 22.62/3.21 tff(f1360,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1359,f337])). 22.62/3.21 tff(f1359,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1324,f337])). 22.62/3.21 tff(f1324,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f437])). 22.62/3.21 tff(f437,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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))))))))) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1358,plain,( 22.62/3.21 ~spl30_124 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1354,f599,f1356])). 22.62/3.21 tff(f1354,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(forward_demodulation,[],[f1353,f337])). 22.62/3.21 tff(f1353,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(forward_demodulation,[],[f1323,f337])). 22.62/3.21 tff(f1323,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_9), 22.62/3.21 inference(resolution,[],[f600,f436])). 22.62/3.21 tff(f436,plain,( 22.62/3.21 ( ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))))) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1352,plain,( 22.62/3.21 ~spl30_123 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1348,f599,f1350])). 22.62/3.21 tff(f1348,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1347,f337])). 22.62/3.21 tff(f1347,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_9), 22.62/3.21 inference(forward_demodulation,[],[f1322,f337])). 22.62/3.21 tff(f1322,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f435])). 22.62/3.21 tff(f435,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1346,plain,( 22.62/3.21 ~spl30_122 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1321,f599,f1344])). 22.62/3.21 tff(f1321,plain,( 22.62/3.21 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f434])). 22.62/3.21 tff(f434,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK26(X0,X1,X2,X3),0)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1342,plain,( 22.62/3.21 spl30_121 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1320,f599,f1340])). 22.62/3.21 tff(f1320,plain,( 22.62/3.21 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f433])). 22.62/3.21 tff(f433,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK26(X0,X1,X2,X3),9)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1338,plain,( 22.62/3.21 ~spl30_120 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1319,f599,f1336])). 22.62/3.21 tff(f1319,plain,( 22.62/3.21 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f432])). 22.62/3.21 tff(f432,plain,( 22.62/3.21 ( ! [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)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1334,plain,( 22.62/3.21 spl30_119 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1318,f599,f1332])). 22.62/3.21 tff(f1318,plain,( 22.62/3.21 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f431])). 22.62/3.21 tff(f431,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK27(X0,X1,X2,X3),9)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1330,plain,( 22.62/3.21 ~spl30_118 | spl30_9), 22.62/3.21 inference(avatar_split_clause,[],[f1317,f599,f1328])). 22.62/3.21 tff(f1317,plain,( 22.62/3.21 sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_9), 22.62/3.21 inference(resolution,[],[f600,f430])). 22.62/3.21 tff(f430,plain,( 22.62/3.21 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3)) )), 22.62/3.21 inference(cnf_transformation,[],[f214])). 22.62/3.21 tff(f1315,plain,( 22.62/3.21 spl30_117 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1311,f590,f1313])). 22.62/3.21 tff(f1311,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1310,f337])). 22.62/3.21 tff(f1310,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1265,f337])). 22.62/3.21 tff(f1265,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(resolution,[],[f591,f439])). 22.62/3.21 tff(f1309,plain,( 22.62/3.21 ~spl30_116 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1305,f590,f1307])). 22.62/3.21 tff(f1305,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1304,f337])). 22.62/3.21 tff(f1304,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1264,f337])). 22.62/3.21 tff(f1264,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(resolution,[],[f591,f438])). 22.62/3.21 tff(f1303,plain,( 22.62/3.21 ~spl30_115 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1299,f590,f1301])). 22.62/3.21 tff(f1299,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1298,f337])). 22.62/3.21 tff(f1298,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1263,f337])). 22.62/3.21 tff(f1263,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(resolution,[],[f591,f437])). 22.62/3.21 tff(f1297,plain,( 22.62/3.21 ~spl30_114 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1293,f590,f1295])). 22.62/3.21 tff(f1293,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1292,f337])). 22.62/3.21 tff(f1292,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1262,f337])). 22.62/3.21 tff(f1262,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(resolution,[],[f591,f436])). 22.62/3.21 tff(f1291,plain,( 22.62/3.21 ~spl30_113 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1287,f590,f1289])). 22.62/3.21 tff(f1289,plain,( 22.62/3.21 spl30_113 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 22.62/3.21 tff(f1287,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1286,f337])). 22.62/3.21 tff(f1286,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(forward_demodulation,[],[f1261,f337])). 22.62/3.21 tff(f1261,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_6), 22.62/3.21 inference(resolution,[],[f591,f435])). 22.62/3.21 tff(f1285,plain,( 22.62/3.21 ~spl30_112 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1260,f590,f1283])). 22.62/3.21 tff(f1260,plain,( 22.62/3.21 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_6), 22.62/3.21 inference(resolution,[],[f591,f434])). 22.62/3.21 tff(f1281,plain,( 22.62/3.21 spl30_111 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1259,f590,f1279])). 22.62/3.21 tff(f1259,plain,( 22.62/3.21 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_6), 22.62/3.21 inference(resolution,[],[f591,f433])). 22.62/3.21 tff(f1277,plain,( 22.62/3.21 ~spl30_110 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1258,f590,f1275])). 22.62/3.21 tff(f1258,plain,( 22.62/3.21 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_6), 22.62/3.21 inference(resolution,[],[f591,f432])). 22.62/3.21 tff(f1273,plain,( 22.62/3.21 spl30_109 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1257,f590,f1271])). 22.62/3.21 tff(f1257,plain,( 22.62/3.21 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_6), 22.62/3.21 inference(resolution,[],[f591,f431])). 22.62/3.21 tff(f1269,plain,( 22.62/3.21 ~spl30_108 | spl30_6), 22.62/3.21 inference(avatar_split_clause,[],[f1256,f590,f1267])). 22.62/3.21 tff(f1256,plain,( 22.62/3.21 sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_6), 22.62/3.21 inference(resolution,[],[f591,f430])). 22.62/3.21 tff(f1254,plain,( 22.62/3.21 spl30_107 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1250,f581,f1252])). 22.62/3.21 tff(f1250,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1249,f337])). 22.62/3.21 tff(f1249,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1204,f337])). 22.62/3.21 tff(f1204,plain,( 22.62/3.21 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f439])). 22.62/3.21 tff(f1248,plain,( 22.62/3.21 ~spl30_106 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1244,f581,f1246])). 22.62/3.21 tff(f1244,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1243,f337])). 22.62/3.21 tff(f1243,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1203,f337])). 22.62/3.21 tff(f1203,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f438])). 22.62/3.21 tff(f1242,plain,( 22.62/3.21 ~spl30_105 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1238,f581,f1240])). 22.62/3.21 tff(f1238,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1237,f337])). 22.62/3.21 tff(f1237,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1202,f337])). 22.62/3.21 tff(f1202,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f437])). 22.62/3.21 tff(f1236,plain,( 22.62/3.21 ~spl30_104 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1232,f581,f1234])). 22.62/3.21 tff(f1232,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1231,f337])). 22.62/3.21 tff(f1231,plain,( 22.62/3.21 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | spl30_3), 22.62/3.21 inference(forward_demodulation,[],[f1201,f337])). 22.62/3.21 tff(f1201,plain,( 22.62/3.21 ~$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_3), 22.62/3.21 inference(resolution,[],[f582,f436])). 22.62/3.21 tff(f1230,plain,( 22.62/3.21 ~spl30_103 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1226,f581,f1228])). 22.62/3.21 tff(f1228,plain,( 22.62/3.21 spl30_103 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_103])])). 22.62/3.21 tff(f1226,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_3), 22.62/3.21 inference(forward_demodulation,[],[f1225,f337])). 22.62/3.21 tff(f1225,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_3), 22.62/3.21 inference(forward_demodulation,[],[f1200,f337])). 22.62/3.21 tff(f1200,plain,( 22.62/3.21 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_3), 22.62/3.21 inference(resolution,[],[f582,f435])). 22.62/3.21 tff(f1224,plain,( 22.62/3.21 ~spl30_102 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1199,f581,f1222])). 22.62/3.21 tff(f1199,plain,( 22.62/3.21 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f434])). 22.62/3.21 tff(f1220,plain,( 22.62/3.21 spl30_101 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1198,f581,f1218])). 22.62/3.21 tff(f1198,plain,( 22.62/3.21 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f433])). 22.62/3.21 tff(f1216,plain,( 22.62/3.21 ~spl30_100 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1197,f581,f1214])). 22.62/3.21 tff(f1197,plain,( 22.62/3.21 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f432])). 22.62/3.21 tff(f1212,plain,( 22.62/3.21 spl30_99 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1196,f581,f1210])). 22.62/3.21 tff(f1196,plain,( 22.62/3.21 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f431])). 22.62/3.21 tff(f1208,plain,( 22.62/3.21 ~spl30_98 | spl30_3), 22.62/3.21 inference(avatar_split_clause,[],[f1195,f581,f1206])). 22.62/3.21 tff(f1195,plain,( 22.62/3.21 sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_3), 22.62/3.21 inference(resolution,[],[f582,f430])). 22.62/3.21 tff(f1193,plain,( 22.62/3.21 ~spl30_97 | ~spl30_93 | ~spl30_94 | spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1189,f593,f1165,f1162,f1191])). 22.62/3.21 tff(f1189,plain,( 22.62/3.21 81 != sK8 | 9 != sK10 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1188,f395])). 22.62/3.21 tff(f1188,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1187,f337])). 22.62/3.21 tff(f1187,plain,( 22.62/3.21 9 != sK10 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1186,f395])). 22.62/3.21 tff(f1186,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1185,f337])). 22.62/3.21 tff(f1185,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1184,f337])). 22.62/3.21 tff(f1184,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1153,f337])). 22.62/3.21 tff(f1153,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK17(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)))),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(resolution,[],[f594,f372])). 22.62/3.21 tff(f372,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X0),sK17(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK18(X0,X1))))) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f594,plain,( 22.62/3.21 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | spl30_7), 22.62/3.21 inference(avatar_component_clause,[],[f593])). 22.62/3.21 tff(f1183,plain,( 22.62/3.21 spl30_96 | ~spl30_93 | ~spl30_94 | spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1179,f593,f1165,f1162,f1181])). 22.62/3.21 tff(f1181,plain,( 22.62/3.21 spl30_96 <=> is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 22.62/3.21 tff(f1179,plain,( 22.62/3.21 81 != sK8 | 9 != sK10 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1178,f395])). 22.62/3.21 tff(f1178,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1177,f337])). 22.62/3.21 tff(f1177,plain,( 22.62/3.21 9 != sK10 | is_index1(sK17(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1176,f395])). 22.62/3.21 tff(f1176,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | is_index1(sK17(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1152,f337])). 22.62/3.21 tff(f1152,plain,( 22.62/3.21 is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(resolution,[],[f594,f371])). 22.62/3.21 tff(f371,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | is_index1(sK17(X0,X1)) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f1175,plain,( 22.62/3.21 spl30_95 | ~spl30_93 | ~spl30_94 | spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1171,f593,f1165,f1162,f1173])). 22.62/3.21 tff(f1171,plain,( 22.62/3.21 81 != sK8 | 9 != sK10 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1170,f395])). 22.62/3.21 tff(f1170,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1169,f337])). 22.62/3.21 tff(f1169,plain,( 22.62/3.21 9 != sK10 | $less(sK18(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1168,f395])). 22.62/3.21 tff(f1168,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | $less(sK18(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1151,f337])). 22.62/3.21 tff(f1151,plain,( 22.62/3.21 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(resolution,[],[f594,f370])). 22.62/3.21 tff(f370,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | $less(sK18(X0,X1),9) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f1167,plain,( 22.62/3.21 ~spl30_92 | ~spl30_93 | ~spl30_94 | spl30_7), 22.62/3.21 inference(avatar_split_clause,[],[f1157,f593,f1165,f1162,f1159])). 22.62/3.21 tff(f1157,plain,( 22.62/3.21 81 != sK8 | 9 != sK10 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1156,f395])). 22.62/3.21 tff(f1156,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK8,t2tb(sK9))) | 9 != sK10 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1155,f337])). 22.62/3.21 tff(f1155,plain,( 22.62/3.21 9 != sK10 | ~$less(sK18(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_7), 22.62/3.21 inference(forward_demodulation,[],[f1154,f395])). 22.62/3.21 tff(f1154,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK10,t2tb(sK11))) | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(forward_demodulation,[],[f1150,f337])). 22.62/3.21 tff(f1150,plain,( 22.62/3.21 ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) | spl30_7), 22.62/3.21 inference(resolution,[],[f594,f369])). 22.62/3.21 tff(f369,plain,( 22.62/3.21 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | ~$less(sK18(X0,X1),0) | 9 != length1(int,t2tb2(X1)) | 81 != length1(int,t2tb2(X0))) )), 22.62/3.21 inference(cnf_transformation,[],[f184])). 22.62/3.21 tff(f1149,plain,( 22.62/3.21 ~spl30_91 | ~spl30_87 | ~spl30_88 | spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1145,f584,f1121,f1118,f1147])). 22.62/3.21 tff(f1145,plain,( 22.62/3.21 81 != sK4 | 9 != sK6 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1144,f395])). 22.62/3.21 tff(f1144,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1143,f337])). 22.62/3.21 tff(f1143,plain,( 22.62/3.21 9 != sK6 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1142,f395])). 22.62/3.21 tff(f1142,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1141,f337])). 22.62/3.21 tff(f1141,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1140,f337])). 22.62/3.21 tff(f1140,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1109,f337])). 22.62/3.21 tff(f1109,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK17(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)))),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(resolution,[],[f585,f372])). 22.62/3.21 tff(f585,plain,( 22.62/3.21 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | spl30_4), 22.62/3.21 inference(avatar_component_clause,[],[f584])). 22.62/3.21 tff(f1139,plain,( 22.62/3.21 spl30_90 | ~spl30_87 | ~spl30_88 | spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1135,f584,f1121,f1118,f1137])). 22.62/3.21 tff(f1137,plain,( 22.62/3.21 spl30_90 <=> is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_90])])). 22.62/3.21 tff(f1135,plain,( 22.62/3.21 81 != sK4 | 9 != sK6 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1134,f395])). 22.62/3.21 tff(f1134,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1133,f337])). 22.62/3.21 tff(f1133,plain,( 22.62/3.21 9 != sK6 | is_index1(sK17(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1132,f395])). 22.62/3.21 tff(f1132,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | is_index1(sK17(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1108,f337])). 22.62/3.21 tff(f1108,plain,( 22.62/3.21 is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(resolution,[],[f585,f371])). 22.62/3.21 tff(f1131,plain,( 22.62/3.21 spl30_89 | ~spl30_87 | ~spl30_88 | spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1127,f584,f1121,f1118,f1129])). 22.62/3.21 tff(f1127,plain,( 22.62/3.21 81 != sK4 | 9 != sK6 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1126,f395])). 22.62/3.21 tff(f1126,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1125,f337])). 22.62/3.21 tff(f1125,plain,( 22.62/3.21 9 != sK6 | $less(sK18(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1124,f395])). 22.62/3.21 tff(f1124,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | $less(sK18(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1107,f337])). 22.62/3.21 tff(f1107,plain,( 22.62/3.21 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(resolution,[],[f585,f370])). 22.62/3.21 tff(f1123,plain,( 22.62/3.21 ~spl30_86 | ~spl30_87 | ~spl30_88 | spl30_4), 22.62/3.21 inference(avatar_split_clause,[],[f1113,f584,f1121,f1118,f1115])). 22.62/3.21 tff(f1113,plain,( 22.62/3.21 81 != sK4 | 9 != sK6 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1112,f395])). 22.62/3.21 tff(f1112,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK4,t2tb(sK5))) | 9 != sK6 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1111,f337])). 22.62/3.21 tff(f1111,plain,( 22.62/3.21 9 != sK6 | ~$less(sK18(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_4), 22.62/3.21 inference(forward_demodulation,[],[f1110,f395])). 22.62/3.21 tff(f1110,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK6,t2tb(sK7))) | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(forward_demodulation,[],[f1106,f337])). 22.62/3.21 tff(f1106,plain,( 22.62/3.21 ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) | spl30_4), 22.62/3.21 inference(resolution,[],[f585,f369])). 22.62/3.21 tff(f1105,plain,( 22.62/3.21 ~spl30_85 | ~spl30_81 | ~spl30_82 | spl30_2), 22.62/3.21 inference(avatar_split_clause,[],[f1101,f578,f1077,f1074,f1103])). 22.62/3.21 tff(f1101,plain,( 22.62/3.21 81 != sK0 | 9 != sK2 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1100,f395])). 22.62/3.21 tff(f1100,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1099,f337])). 22.62/3.21 tff(f1099,plain,( 22.62/3.21 9 != sK2 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1098,f395])). 22.62/3.21 tff(f1098,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1097,f337])). 22.62/3.21 tff(f1097,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1096,f337])). 22.62/3.21 tff(f1096,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1065,f337])). 22.62/3.21 tff(f1065,plain,( 22.62/3.21 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK17(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)))),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(resolution,[],[f579,f372])). 22.62/3.21 tff(f579,plain,( 22.62/3.21 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | spl30_2), 22.62/3.21 inference(avatar_component_clause,[],[f578])). 22.62/3.21 tff(f1095,plain,( 22.62/3.21 spl30_84 | ~spl30_81 | ~spl30_82 | spl30_2), 22.62/3.21 inference(avatar_split_clause,[],[f1091,f578,f1077,f1074,f1093])). 22.62/3.21 tff(f1093,plain,( 22.62/3.21 spl30_84 <=> is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 22.62/3.21 tff(f1091,plain,( 22.62/3.21 81 != sK0 | 9 != sK2 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1090,f395])). 22.62/3.21 tff(f1090,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1089,f337])). 22.62/3.21 tff(f1089,plain,( 22.62/3.21 9 != sK2 | is_index1(sK17(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1088,f395])). 22.62/3.21 tff(f1088,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | is_index1(sK17(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1064,f337])). 22.62/3.21 tff(f1064,plain,( 22.62/3.21 is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(resolution,[],[f579,f371])). 22.62/3.21 tff(f1087,plain,( 22.62/3.21 spl30_83 | ~spl30_81 | ~spl30_82 | spl30_2), 22.62/3.21 inference(avatar_split_clause,[],[f1083,f578,f1077,f1074,f1085])). 22.62/3.21 tff(f1083,plain,( 22.62/3.21 81 != sK0 | 9 != sK2 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1082,f395])). 22.62/3.21 tff(f1082,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1081,f337])). 22.62/3.21 tff(f1081,plain,( 22.62/3.21 9 != sK2 | $less(sK18(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1080,f395])). 22.62/3.21 tff(f1080,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | $less(sK18(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1063,f337])). 22.62/3.21 tff(f1063,plain,( 22.62/3.21 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(resolution,[],[f579,f370])). 22.62/3.21 tff(f1079,plain,( 22.62/3.21 ~spl30_80 | ~spl30_81 | ~spl30_82 | spl30_2), 22.62/3.21 inference(avatar_split_clause,[],[f1069,f578,f1077,f1074,f1071])). 22.62/3.21 tff(f1069,plain,( 22.62/3.21 81 != sK0 | 9 != sK2 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1068,f395])). 22.62/3.21 tff(f1068,plain,( 22.62/3.21 81 != length1(int,mk_array1(int,sK0,t2tb(sK1))) | 9 != sK2 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1067,f337])). 22.62/3.21 tff(f1067,plain,( 22.62/3.21 9 != sK2 | ~$less(sK18(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_2), 22.62/3.21 inference(forward_demodulation,[],[f1066,f395])). 22.62/3.21 tff(f1066,plain,( 22.62/3.21 9 != length1(int,mk_array1(int,sK2,t2tb(sK3))) | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(forward_demodulation,[],[f1062,f337])). 22.62/3.21 tff(f1062,plain,( 22.62/3.21 ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | 9 != length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | 81 != length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) | spl30_2), 22.62/3.21 inference(resolution,[],[f579,f369])). 22.62/3.21 tff(f1061,plain,( 22.62/3.21 ~spl30_73 | spl30_79 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1025,f699,f1059,f1036])). 22.62/3.21 tff(f1036,plain,( 22.62/3.21 spl30_73 <=> $less(sK2,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 22.62/3.21 tff(f1059,plain,( 22.62/3.21 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),sK2))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 22.62/3.21 tff(f1025,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2))))) | ~is_index1(X43) | ~$less(sK2,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f461])). 22.62/3.21 tff(f1057,plain,( 22.62/3.21 ~spl30_73 | spl30_78 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1022,f699,f1054,f1036])). 22.62/3.21 tff(f1054,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK2 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK2))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK2)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 22.62/3.21 tff(f1022,plain,( 22.62/3.21 ( ! [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),sK2)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK2,9) | sK2 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f440])). 22.62/3.21 tff(f1056,plain,( 22.62/3.21 ~spl30_73 | spl30_78 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1021,f699,f1054,f1036])). 22.62/3.21 tff(f1021,plain,( 22.62/3.21 ( ! [X24:$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),sK2)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK2,9) | $less(X24,0) | ~$less(X24,9) | sK2 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f440])). 22.62/3.21 tff(f1052,plain,( 22.62/3.21 spl30_75 | spl30_77 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1020,f699,f1050,f1043])). 22.62/3.21 tff(f1043,plain,( 22.62/3.21 spl30_75 <=> $less(81,sK2)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_75])])). 22.62/3.21 tff(f1050,plain,( 22.62/3.21 spl30_77 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK2,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_77])])). 22.62/3.21 tff(f1020,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK2,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK2)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f425])). 22.62/3.21 tff(f1048,plain,( 22.62/3.21 spl30_75 | spl30_76 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1019,f699,f1046,f1043])). 22.62/3.21 tff(f1046,plain,( 22.62/3.21 spl30_76 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK2) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 22.62/3.21 tff(f1019,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK2) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK2) | $less(81,X16)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f425])). 22.62/3.21 tff(f1041,plain,( 22.62/3.21 ~spl30_73 | spl30_74 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1014,f699,f1039,f1036])). 22.62/3.21 tff(f1039,plain,( 22.62/3.21 spl30_74 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 22.62/3.21 tff(f1014,plain,( 22.62/3.21 ( ! [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) | ~$less(sK2,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f368])). 22.62/3.21 tff(f1034,plain,( 22.62/3.21 ~spl30_71 | spl30_72 | spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f1013,f699,f1032,f1029])). 22.62/3.21 tff(f1013,plain,( 22.62/3.21 is_index1(sK2) | ~$less(sK2,81) | spl30_24), 22.62/3.21 inference(resolution,[],[f700,f356])). 22.62/3.21 tff(f1012,plain,( 22.62/3.21 ~spl30_64 | spl30_70 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f976,f695,f1010,f987])). 22.62/3.21 tff(f987,plain,( 22.62/3.21 spl30_64 <=> $less(sK6,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 22.62/3.21 tff(f1010,plain,( 22.62/3.21 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),sK6))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 22.62/3.21 tff(f976,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6))))) | ~is_index1(X43) | ~$less(sK6,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f461])). 22.62/3.21 tff(f1008,plain,( 22.62/3.21 ~spl30_64 | spl30_69 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f973,f695,f1005,f987])). 22.62/3.21 tff(f1005,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK6 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK6))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK6)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 22.62/3.21 tff(f973,plain,( 22.62/3.21 ( ! [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),sK6)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK6,9) | sK6 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f440])). 22.62/3.21 tff(f1007,plain,( 22.62/3.21 ~spl30_64 | spl30_69 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f972,f695,f1005,f987])). 22.62/3.21 tff(f972,plain,( 22.62/3.21 ( ! [X24:$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),sK6)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK6,9) | $less(X24,0) | ~$less(X24,9) | sK6 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f440])). 22.62/3.21 tff(f1003,plain,( 22.62/3.21 spl30_66 | spl30_68 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f971,f695,f1001,f994])). 22.62/3.21 tff(f994,plain,( 22.62/3.21 spl30_66 <=> $less(81,sK6)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 22.62/3.21 tff(f1001,plain,( 22.62/3.21 spl30_68 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK6,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_68])])). 22.62/3.21 tff(f971,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK6,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK6)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f425])). 22.62/3.21 tff(f999,plain,( 22.62/3.21 spl30_66 | spl30_67 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f970,f695,f997,f994])). 22.62/3.21 tff(f997,plain,( 22.62/3.21 spl30_67 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK6) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_67])])). 22.62/3.21 tff(f970,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK6) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK6) | $less(81,X16)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f425])). 22.62/3.21 tff(f992,plain,( 22.62/3.21 ~spl30_64 | spl30_65 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f965,f695,f990,f987])). 22.62/3.21 tff(f990,plain,( 22.62/3.21 spl30_65 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_65])])). 22.62/3.21 tff(f965,plain,( 22.62/3.21 ( ! [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) | ~$less(sK6,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f368])). 22.62/3.21 tff(f985,plain,( 22.62/3.21 ~spl30_62 | spl30_63 | spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f964,f695,f983,f980])). 22.62/3.21 tff(f964,plain,( 22.62/3.21 is_index1(sK6) | ~$less(sK6,81) | spl30_23), 22.62/3.21 inference(resolution,[],[f696,f356])). 22.62/3.21 tff(f907,plain,( 22.62/3.21 ~spl30_55 | spl30_61 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f871,f679,f905,f882])). 22.62/3.21 tff(f882,plain,( 22.62/3.21 spl30_55 <=> $less(sK10,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 22.62/3.21 tff(f905,plain,( 22.62/3.21 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),sK10))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_61])])). 22.62/3.21 tff(f871,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10))))) | ~is_index1(X43) | ~$less(sK10,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f461])). 22.62/3.21 tff(f903,plain,( 22.62/3.21 ~spl30_55 | spl30_60 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f868,f679,f900,f882])). 22.62/3.21 tff(f900,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK10 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK10))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK10)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 22.62/3.21 tff(f868,plain,( 22.62/3.21 ( ! [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),sK10)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK10,9) | sK10 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f440])). 22.62/3.21 tff(f902,plain,( 22.62/3.21 ~spl30_55 | spl30_60 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f867,f679,f900,f882])). 22.62/3.21 tff(f867,plain,( 22.62/3.21 ( ! [X24:$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),sK10)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK10,9) | $less(X24,0) | ~$less(X24,9) | sK10 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f440])). 22.62/3.21 tff(f898,plain,( 22.62/3.21 spl30_57 | spl30_59 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f866,f679,f896,f889])). 22.62/3.21 tff(f889,plain,( 22.62/3.21 spl30_57 <=> $less(81,sK10)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_57])])). 22.62/3.21 tff(f896,plain,( 22.62/3.21 spl30_59 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK10,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_59])])). 22.62/3.21 tff(f866,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK10,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK10)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f425])). 22.62/3.21 tff(f894,plain,( 22.62/3.21 spl30_57 | spl30_58 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f865,f679,f892,f889])). 22.62/3.21 tff(f892,plain,( 22.62/3.21 spl30_58 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK10) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 22.62/3.21 tff(f865,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK10) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK10) | $less(81,X16)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f425])). 22.62/3.21 tff(f887,plain,( 22.62/3.21 ~spl30_55 | spl30_56 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f860,f679,f885,f882])). 22.62/3.21 tff(f885,plain,( 22.62/3.21 spl30_56 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 22.62/3.21 tff(f860,plain,( 22.62/3.21 ( ! [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) | ~$less(sK10,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f368])). 22.62/3.21 tff(f880,plain,( 22.62/3.21 ~spl30_53 | spl30_54 | spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f859,f679,f878,f875])). 22.62/3.21 tff(f859,plain,( 22.62/3.21 is_index1(sK10) | ~$less(sK10,81) | spl30_20), 22.62/3.21 inference(resolution,[],[f680,f356])). 22.62/3.21 tff(f858,plain,( 22.62/3.21 ~spl30_46 | spl30_52 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f822,f675,f856,f833])). 22.62/3.21 tff(f833,plain,( 22.62/3.21 spl30_46 <=> $less(sK8,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 22.62/3.21 tff(f856,plain,( 22.62/3.21 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),sK8))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 22.62/3.21 tff(f822,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8))))) | ~is_index1(X43) | ~$less(sK8,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f461])). 22.62/3.21 tff(f854,plain,( 22.62/3.21 ~spl30_46 | spl30_51 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f819,f675,f851,f833])). 22.62/3.21 tff(f851,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK8 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK8))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK8)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 22.62/3.21 tff(f819,plain,( 22.62/3.21 ( ! [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),sK8)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK8,9) | sK8 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f440])). 22.62/3.21 tff(f853,plain,( 22.62/3.21 ~spl30_46 | spl30_51 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f818,f675,f851,f833])). 22.62/3.21 tff(f818,plain,( 22.62/3.21 ( ! [X24:$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),sK8)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK8,9) | $less(X24,0) | ~$less(X24,9) | sK8 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f440])). 22.62/3.21 tff(f849,plain,( 22.62/3.21 spl30_48 | spl30_50 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f817,f675,f847,f840])). 22.62/3.21 tff(f840,plain,( 22.62/3.21 spl30_48 <=> $less(81,sK8)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 22.62/3.21 tff(f847,plain,( 22.62/3.21 spl30_50 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK8,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 22.62/3.21 tff(f817,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK8,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK8)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f425])). 22.62/3.21 tff(f845,plain,( 22.62/3.21 spl30_48 | spl30_49 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f816,f675,f843,f840])). 22.62/3.21 tff(f843,plain,( 22.62/3.21 spl30_49 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK8) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 22.62/3.21 tff(f816,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK8) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK8) | $less(81,X16)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f425])). 22.62/3.21 tff(f838,plain,( 22.62/3.21 ~spl30_46 | spl30_47 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f811,f675,f836,f833])). 22.62/3.21 tff(f836,plain,( 22.62/3.21 spl30_47 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 22.62/3.21 tff(f811,plain,( 22.62/3.21 ( ! [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) | ~$less(sK8,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f368])). 22.62/3.21 tff(f831,plain,( 22.62/3.21 ~spl30_44 | spl30_45 | spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f810,f675,f829,f826])). 22.62/3.21 tff(f810,plain,( 22.62/3.21 is_index1(sK8) | ~$less(sK8,81) | spl30_19), 22.62/3.21 inference(resolution,[],[f676,f356])). 22.62/3.21 tff(f809,plain,( 22.62/3.21 ~spl30_37 | spl30_43 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f773,f671,f807,f784])). 22.62/3.21 tff(f784,plain,( 22.62/3.21 spl30_37 <=> $less(sK4,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 22.62/3.21 tff(f807,plain,( 22.62/3.21 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),sK4))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 22.62/3.21 tff(f773,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4))))) | ~is_index1(X43) | ~$less(sK4,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f461])). 22.62/3.21 tff(f805,plain,( 22.62/3.21 ~spl30_37 | spl30_42 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f770,f671,f802,f784])). 22.62/3.21 tff(f802,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK4 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK4))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK4)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 22.62/3.21 tff(f770,plain,( 22.62/3.21 ( ! [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),sK4)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | $less(X29,0) | ~$less(X29,9) | ~$less(sK4,9) | sK4 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f440])). 22.62/3.21 tff(f804,plain,( 22.62/3.21 ~spl30_37 | spl30_42 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f769,f671,f802,f784])). 22.62/3.21 tff(f769,plain,( 22.62/3.21 ( ! [X24:$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),sK4)))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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) | ~$less(sK4,9) | $less(X24,0) | ~$less(X24,9) | sK4 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f440])). 22.62/3.21 tff(f800,plain,( 22.62/3.21 spl30_39 | spl30_41 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f768,f671,f798,f791])). 22.62/3.21 tff(f791,plain,( 22.62/3.21 spl30_39 <=> $less(81,sK4)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 22.62/3.21 tff(f798,plain,( 22.62/3.21 spl30_41 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK4,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 22.62/3.21 tff(f768,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK4,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK4)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f425])). 22.62/3.21 tff(f796,plain,( 22.62/3.21 spl30_39 | spl30_40 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f767,f671,f794,f791])). 22.62/3.21 tff(f794,plain,( 22.62/3.21 spl30_40 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK4) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_40])])). 22.62/3.21 tff(f767,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK4) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK4) | $less(81,X16)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f425])). 22.62/3.21 tff(f789,plain,( 22.62/3.21 ~spl30_37 | spl30_38 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f762,f671,f787,f784])). 22.62/3.21 tff(f787,plain,( 22.62/3.21 spl30_38 <=> ! [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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 22.62/3.21 tff(f762,plain,( 22.62/3.21 ( ! [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) | ~$less(sK4,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f368])). 22.62/3.21 tff(f782,plain,( 22.62/3.21 ~spl30_35 | spl30_36 | spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f761,f671,f780,f777])). 22.62/3.21 tff(f761,plain,( 22.62/3.21 is_index1(sK4) | ~$less(sK4,81) | spl30_18), 22.62/3.21 inference(resolution,[],[f672,f356])). 22.62/3.21 tff(f760,plain,( 22.62/3.21 ~spl30_28 | spl30_34 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f724,f667,f758,f735])). 22.62/3.21 tff(f735,plain,( 22.62/3.21 spl30_28 <=> $less(sK0,9)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 22.62/3.21 tff(f758,plain,( 22.62/3.21 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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0)))) | ~is_index1(X43))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 22.62/3.21 tff(f724,plain,( 22.62/3.21 ( ! [X43:$int,X44:array_int,X42:array_int] : (tb2t1(get2(int,t2tb2(X42),X43)) = tb2t1(get2(int,t2tb2(X42),$sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0))))) | ~is_index1(X43) | ~$less(sK0,9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0)))) | ~disjoint_chunks1(X42,X44)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f461])). 22.62/3.21 tff(f756,plain,( 22.62/3.21 ~spl30_28 | spl30_33 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f721,f667,f753,f735])). 22.62/3.21 tff(f753,plain,( 22.62/3.21 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),sK0)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK0 = X24 | ~$less(X24,9) | $less(X24,0) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($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),sK0))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK0)))))),1))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 22.62/3.21 tff(f721,plain,( 22.62/3.21 ( ! [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),sK0)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29))))))) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0)))))),1) | $less(X29,0) | ~$less(X29,9) | ~$less(sK0,9) | sK0 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f440])). 22.62/3.21 tff(f755,plain,( 22.62/3.21 ~spl30_28 | spl30_33 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f720,f667,f753,f735])). 22.62/3.21 tff(f720,plain,( 22.62/3.21 ( ! [X24:$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),sK0)))))) != 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),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) | ~$less(sK0,9) | $less(X24,0) | ~$less(X24,9) | sK0 = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f440])). 22.62/3.21 tff(f751,plain,( 22.62/3.21 spl30_30 | spl30_32 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f719,f667,f749,f742])). 22.62/3.21 tff(f742,plain,( 22.62/3.21 spl30_30 <=> $less(81,sK0)), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 22.62/3.21 tff(f749,plain,( 22.62/3.21 spl30_32 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK0,X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_32])])). 22.62/3.21 tff(f719,plain,( 22.62/3.21 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK0,X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK0)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f425])). 22.62/3.21 tff(f747,plain,( 22.62/3.21 spl30_30 | spl30_31 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f718,f667,f745,f742])). 22.62/3.21 tff(f745,plain,( 22.62/3.21 spl30_31 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK0) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 22.62/3.21 tff(f718,plain,( 22.62/3.21 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK0) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK0) | $less(81,X16)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f425])). 22.62/3.21 tff(f740,plain,( 22.62/3.21 ~spl30_28 | spl30_29 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f713,f667,f738,f735])). 22.62/3.21 tff(f738,plain,( 22.62/3.21 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))), 22.62/3.21 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 22.62/3.21 tff(f713,plain,( 22.62/3.21 ( ! [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) | ~$less(sK0,9) | ~chunk_valid_indexes1(X0,X2)) ) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f368])). 22.62/3.21 tff(f733,plain,( 22.62/3.21 ~spl30_26 | spl30_27 | spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f712,f667,f731,f728])). 22.62/3.21 tff(f712,plain,( 22.62/3.21 is_index1(sK0) | ~$less(sK0,81) | spl30_17), 22.62/3.21 inference(resolution,[],[f668,f356])). 22.62/3.21 tff(f707,plain,( 22.62/3.21 ~spl30_25 | spl30_15 | spl30_10), 22.62/3.21 inference(avatar_split_clause,[],[f702,f602,f620,f704])). 22.62/3.21 tff(f702,plain,( 22.62/3.21 $less(sK14,0) | ~$less(sK14,81) | spl30_10), 22.62/3.21 inference(resolution,[],[f603,f356])). 22.62/3.21 tff(f603,plain,( 22.62/3.21 ~is_index1(sK14) | spl30_10), 22.62/3.21 inference(avatar_component_clause,[],[f602])). 22.62/3.21 tff(f701,plain,( 22.62/3.21 ~spl30_24), 22.62/3.21 inference(avatar_split_clause,[],[f219,f699])). 22.62/3.21 tff(f219,plain,( 22.62/3.21 ~$less(sK2,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f167,plain,( 22.62/3.21 ((~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) & $less(80,0)) | (((~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1))) | ((81 != sK12 | ~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,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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))))) | (~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,$sum(sK14,1)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~is_index1(sK14)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) & ~$less(80,sK14) & ~$less(sK14,0)) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)) & ~$less(80,0))) & ~$less(sK0,0) & ~$less(sK4,0) & ~$less(sK8,0) & ~$less(sK10,0) & ~$less(sK12,0) & valid_values1(sK13) & 81 = sK12 & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) & ~$less(sK6,0) & ~$less(sK2,0)), 22.62/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f131,f166,f165])). 22.62/3.21 tff(f165,plain,( 22.62/3.21 ? [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] : (((~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) & $less(80,0)) | (((~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ? [X14 : $int] : ((81 != X12 | ~is_index1(X14) | (((valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((81 != X12 | ~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~is_index1(X14)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | ~valid_values1(X13) | 81 != X12) & 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))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~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,X14) & ~$less(80,X14) & ~$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)))),X13,0)) & ~$less(80,0))) & ~$less(X0,0) & ~$less(X4,0) & ~$less(X8,0) & ~$less(X10,0) & ~$less(X12,0) & valid_values1(X13) & 81 = X12 & 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))))) & ~$less(X6,0) & ~$less(X2,0)) => (((~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) & $less(80,0)) | (((~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1))) | ? [X14 : $int] : ((81 != sK12 | ~is_index1(X14) | (((valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(X14,1)) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~is_index1(X14)) & valid_chunk1(sK13,X14,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(X14) | ~valid_values1(sK13) | 81 != sK12) & valid_chunk1(sK13,X14,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_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_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,X14) & ~$less(80,X14) & ~$less(X14,0)) | ~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)) & ~$less(80,0))) & ~$less(sK0,0) & ~$less(sK4,0) & ~$less(sK8,0) & ~$less(sK10,0) & ~$less(sK12,0) & valid_values1(sK13) & 81 = sK12 & 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))))) & ~$less(sK6,0) & ~$less(sK2,0))), 22.62/3.21 introduced(choice_axiom,[])). 22.62/3.21 tff(f166,plain,( 22.62/3.21 ? [X14 : $int] : ((81 != sK12 | ~is_index1(X14) | (((valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(X14,1)) & valid_chunk1(sK13,X14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~is_index1(X14)) & valid_chunk1(sK13,X14,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(X14) | ~valid_values1(sK13) | 81 != sK12) & valid_chunk1(sK13,X14,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_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_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,X14) & ~$less(80,X14) & ~$less(X14,0)) => ((81 != sK12 | ~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,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ((81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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))))) | (~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,$sum(sK14,1)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~is_index1(sK14)) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12) & valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) & ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) & ~$less(80,sK14) & ~$less(sK14,0))), 22.62/3.21 introduced(choice_axiom,[])). 22.62/3.21 tff(f131,plain,( 22.62/3.21 ? [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] : (((~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) & $less(80,0)) | (((~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ? [X14 : $int] : ((81 != X12 | ~is_index1(X14) | (((valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((81 != X12 | ~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~is_index1(X14)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | ~valid_values1(X13) | 81 != X12) & 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))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~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,X14) & ~$less(80,X14) & ~$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)))),X13,0)) & ~$less(80,0))) & ~$less(X0,0) & ~$less(X4,0) & ~$less(X8,0) & ~$less(X10,0) & ~$less(X12,0) & valid_values1(X13) & 81 = X12 & 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))))) & ~$less(X6,0) & ~$less(X2,0))), 22.62/3.21 inference(flattening,[],[f130])). 22.62/3.21 tff(f130,plain,( 22.62/3.21 ? [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] : (((~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) & $less(80,0)) | (((~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(80,1))) | ? [X14 : $int] : (((81 != X12 | ~is_index1(X14) | (((valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ((81 != X12 | ~valid_values1(X13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | (~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~is_index1(X14)) & valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(X14) | ~valid_values1(X13) | 81 != X12) & 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))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~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,X14)) & (~$less(80,X14) & ~$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)))),X13,0)) & ~$less(80,0))) & (~$less(X0,0) & ~$less(X4,0) & ~$less(X8,0) & ~$less(X10,0) & ~$less(X12,0) & valid_values1(X13) & 81 = X12 & 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))))) & ~$less(X6,0) & ~$less(X2,0)))), 22.62/3.21 inference(ennf_transformation,[],[f76])). 22.62/3.21 tff(f76,plain,( 22.62/3.21 ~! [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) & ~$less(X4,0) & ~$less(X8,0) & ~$less(X10,0) & ~$less(X12,0) & valid_values1(X13) & 81 = X12 & 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))))) & ~$less(X6,0) & ~$less(X2,0)) => (($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (~$less(80,0) => ((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)) & ! [X14 : $int] : ((~$less(80,X14) & ~$less(X14,0)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,X14) => (81 = X12 & is_index1(X14) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) => ((~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) => (81 = X12 & valid_values1(X13) & chunk_valid_indexes1(tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) & (~valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13)) & (valid_chunk1(X13,X14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,$sum(X14,1))) & is_index1(X14))) & chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) & is_index1(X14) & valid_values1(X13) & 81 = X12)) & (~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)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) & 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)))),X13,0)))))), 22.62/3.21 inference(rectify,[],[f63])). 22.62/3.21 tff(f63,plain,( 22.62/3.21 ~! [X0 : $int,X20 : map_int_int,X21 : $int,X22 : map_int_int,X23 : $int,X24 : map_int_int,X25 : $int,X26 : map_int_int,X27 : $int,X28 : map_int_int,X29 : $int,X30 : map_int_int,X1 : $int,X31 : map_int_int] : ((~$less(X0,0) & ~$less(X23,0) & ~$less(X27,0) & ~$less(X29,0) & ~$less(X1,0) & valid_values1(X31) & 81 = X1 & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30))))) & ~$less(X25,0) & ~$less(X21,0)) => (($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (~$less(80,0) => ((valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & ! [X2 : $int] : ((~$less(80,X2) & ~$less(X2,0)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,X2) => (81 = X1 & is_index1(X2) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ((~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => (81 = X1 & valid_values1(X31) & chunk_valid_indexes1(tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(X2,1))) & is_index1(X2))) & chunk_valid_indexes1(tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) & is_index1(X2) & valid_values1(X31) & 81 = X1)) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) & valid_values1(X31)))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,0)))))), 22.62/3.21 inference(theory_normalization,[],[f9])). 22.62/3.21 tff(f9,negated_conjecture,( 22.62/3.21 ~! [X0 : $int,X20 : map_int_int,X21 : $int,X22 : map_int_int,X23 : $int,X24 : map_int_int,X25 : $int,X26 : map_int_int,X27 : $int,X28 : map_int_int,X29 : $int,X30 : map_int_int,X1 : $int,X31 : map_int_int] : (($lesseq(0,X0) & $lesseq(0,X23) & $lesseq(0,X27) & $lesseq(0,X29) & $lesseq(0,X1) & valid_values1(X31) & 81 = X1 & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30))))) & $lesseq(0,X25) & $lesseq(0,X21)) => (($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & ($lesseq(0,80) => ((valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & ! [X2 : $int] : (($lesseq(X2,80) & $lesseq(0,X2)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,X2) => (81 = X1 & is_index1(X2) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ((~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => (81 = X1 & valid_values1(X31) & chunk_valid_indexes1(tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(X2,1))) & is_index1(X2))) & chunk_valid_indexes1(tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) & is_index1(X2) & valid_values1(X31) & 81 = X1)) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) & valid_values1(X31)))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,0)))))), 22.62/3.21 inference(negated_conjecture,[],[f8])). 22.62/3.21 tff(f8,conjecture,( 22.62/3.21 ! [X0 : $int,X20 : map_int_int,X21 : $int,X22 : map_int_int,X23 : $int,X24 : map_int_int,X25 : $int,X26 : map_int_int,X27 : $int,X28 : map_int_int,X29 : $int,X30 : map_int_int,X1 : $int,X31 : map_int_int] : (($lesseq(0,X0) & $lesseq(0,X23) & $lesseq(0,X27) & $lesseq(0,X29) & $lesseq(0,X1) & valid_values1(X31) & 81 = X1 & well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30))))) & $lesseq(0,X25) & $lesseq(0,X21)) => (($less(80,0) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & ($lesseq(0,80) => ((valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(80,1)) => valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & ! [X2 : $int] : (($lesseq(X2,80) & $lesseq(0,X2)) => (valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,X2) => (81 = X1 & is_index1(X2) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ((~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) => (81 = X1 & valid_values1(X31) & chunk_valid_indexes1(tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & (valid_chunk1(X31,X2,tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))) => valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,$sum(X2,1))) & is_index1(X2))) & chunk_valid_indexes1(tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26)))) & is_index1(X2) & valid_values1(X31) & 81 = X1)) & (~valid_chunk1(X31,X2,tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) => ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31)) & chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22)))) & valid_values1(X31)))) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X20))),tb2t2(mk_array1(int,X21,t2tb(X22))),tb2t2(mk_array1(int,X23,t2tb(X24))),tb2t2(mk_array1(int,X25,t2tb(X26))),tb2t2(mk_array1(int,X27,t2tb(X28))),tb2t2(mk_array1(int,X29,t2tb(X30)))),X31,0)))))), 22.62/3.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_check_valid)). 22.62/3.21 tff(f697,plain,( 22.62/3.21 ~spl30_23), 22.62/3.21 inference(avatar_split_clause,[],[f220,f695])). 22.62/3.21 tff(f220,plain,( 22.62/3.21 ~$less(sK6,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f693,plain,( 22.62/3.21 spl30_22), 22.62/3.21 inference(avatar_split_clause,[],[f221,f691])). 22.62/3.21 tff(f221,plain,( 22.62/3.21 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f689,plain,( 22.62/3.21 spl30_11), 22.62/3.21 inference(avatar_split_clause,[],[f222,f605])). 22.62/3.21 tff(f222,plain,( 22.62/3.21 81 = sK12), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f687,plain,( 22.62/3.21 spl30_8), 22.62/3.21 inference(avatar_split_clause,[],[f223,f596])). 22.62/3.21 tff(f223,plain,( 22.62/3.21 valid_values1(sK13)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f685,plain,( 22.62/3.21 ~spl30_21), 22.62/3.21 inference(avatar_split_clause,[],[f224,f683])). 22.62/3.21 tff(f224,plain,( 22.62/3.21 ~$less(sK12,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f681,plain,( 22.62/3.21 ~spl30_20), 22.62/3.21 inference(avatar_split_clause,[],[f225,f679])). 22.62/3.21 tff(f225,plain,( 22.62/3.21 ~$less(sK10,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f677,plain,( 22.62/3.21 ~spl30_19), 22.62/3.21 inference(avatar_split_clause,[],[f226,f675])). 22.62/3.21 tff(f226,plain,( 22.62/3.21 ~$less(sK8,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f673,plain,( 22.62/3.21 ~spl30_18), 22.62/3.21 inference(avatar_split_clause,[],[f227,f671])). 22.62/3.21 tff(f227,plain,( 22.62/3.21 ~$less(sK4,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f669,plain,( 22.62/3.21 ~spl30_17), 22.62/3.21 inference(avatar_split_clause,[],[f228,f667])). 22.62/3.21 tff(f228,plain,( 22.62/3.21 ~$less(sK0,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f665,plain,( 22.62/3.21 ~spl30_1 | ~spl30_15 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f463,f637,f620,f575])). 22.62/3.21 tff(f463,plain,( 22.62/3.21 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) | ~$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)), 22.62/3.21 inference(evaluation,[],[f230])). 22.62/3.21 tff(f230,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f664,plain,( 22.62/3.21 ~spl30_1 | ~spl30_14 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f464,f637,f616,f575])). 22.62/3.21 tff(f464,plain,( 22.62/3.21 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$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)), 22.62/3.21 inference(evaluation,[],[f231])). 22.62/3.21 tff(f231,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~$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)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f663,plain,( 22.62/3.21 ~spl30_1 | spl30_13 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f465,f637,f612,f575])). 22.62/3.21 tff(f465,plain,( 22.62/3.21 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) | 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)), 22.62/3.21 inference(evaluation,[],[f232])). 22.62/3.21 tff(f232,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,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)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f662,plain,( 22.62/3.21 ~spl30_1 | ~spl30_8 | ~spl30_2 | spl30_12 | spl30_3 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f466,f637,f605,f602,f581,f608,f578,f596,f575])). 22.62/3.21 tff(f466,plain,( 22.62/3.21 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) | 81 != sK12 | ~is_index1(sK14) | valid_chunk1(sK13,sK14,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) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(evaluation,[],[f234])). 22.62/3.21 tff(f234,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | valid_chunk1(sK13,sK14,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) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f660,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f472,f637,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 22.62/3.21 tff(f472,plain,( 22.62/3.21 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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~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)))),sK13,0)), 22.62/3.21 inference(evaluation,[],[f471])). 22.62/3.21 tff(f471,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~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)))),sK13,0)), 22.62/3.21 inference(duplicate_literal_removal,[],[f239])). 22.62/3.21 tff(f239,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,$sum(sK14,1)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f659,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | spl30_12 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f474,f637,f605,f602,f599,f596,f593,f590,f587,f584,f608,f578,f575])). 22.62/3.21 tff(f474,plain,( 22.62/3.21 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,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) | ~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)), 22.62/3.21 inference(evaluation,[],[f473])). 22.62/3.21 tff(f473,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,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) | ~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)), 22.62/3.21 inference(duplicate_literal_removal,[],[f240])). 22.62/3.21 tff(f240,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f658,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_4 | spl30_6 | spl30_12 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f657,f637,f605,f602,f599,f596,f593,f608,f590,f584,f578,f575])). 22.62/3.21 tff(f657,plain,( 22.62/3.21 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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(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,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)))),sK13,0)), 22.62/3.21 inference(global_subsumption,[],[f478])). 22.62/3.21 tff(f478,plain,( 22.62/3.21 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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(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,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)))),sK13,0)), 22.62/3.21 inference(evaluation,[],[f477])). 22.62/3.21 tff(f477,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(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,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)))),sK13,0)), 22.62/3.21 inference(duplicate_literal_removal,[],[f242])). 22.62/3.21 tff(f242,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f656,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_4 | spl30_6 | spl30_12 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f478,f637,f605,f602,f599,f596,f593,f608,f590,f584,f578,f575])). 22.62/3.21 tff(f655,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | spl30_12 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f654,f637,f605,f602,f599,f596,f593,f608,f587,f584,f578,f575])). 22.62/3.21 tff(f654,plain,( 22.62/3.21 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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(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_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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.62/3.21 inference(global_subsumption,[],[f482])). 22.62/3.21 tff(f482,plain,( 22.62/3.21 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,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)))),sK13,0)), 22.62/3.21 inference(evaluation,[],[f481])). 22.62/3.21 tff(f481,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(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_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,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)))),sK13,0)), 22.62/3.21 inference(duplicate_literal_removal,[],[f244])). 22.62/3.21 tff(f244,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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_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)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f653,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | spl30_12 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f482,f637,f605,f602,f599,f596,f593,f608,f587,f584,f578,f575])). 22.62/3.21 tff(f652,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_8 | ~spl30_4 | spl30_9 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f651,f637,f605,f602,f608,f599,f584,f596,f578,f575])). 22.62/3.21 tff(f651,plain,( 22.62/3.21 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) | 81 != sK12 | ~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,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)))) | ~valid_values1(sK13) | ~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)), 22.62/3.21 inference(global_subsumption,[],[f486])). 22.62/3.21 tff(f486,plain,( 22.62/3.21 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) | 81 != sK12 | ~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,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)))) | ~valid_values1(sK13) | ~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)), 22.62/3.21 inference(evaluation,[],[f485])). 22.62/3.21 tff(f485,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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,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)))) | ~valid_values1(sK13) | ~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)), 22.62/3.21 inference(duplicate_literal_removal,[],[f246])). 22.62/3.21 tff(f246,plain,( 22.62/3.21 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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,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) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.62/3.21 inference(cnf_transformation,[],[f167])). 22.62/3.21 tff(f650,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_8 | ~spl30_4 | spl30_9 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f486,f637,f605,f602,f608,f599,f584,f596,f578,f575])). 22.62/3.21 tff(f648,plain,( 22.62/3.21 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.62/3.21 inference(avatar_split_clause,[],[f647,f637,f605,f602,f608,f596,f593,f590,f587,f584,f578,f575])). 22.98/3.23 tff(f647,plain,( 22.98/3.23 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) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(global_subsumption,[],[f492])). 22.98/3.23 tff(f492,plain,( 22.98/3.23 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,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)))),sK13,0)), 22.98/3.23 inference(evaluation,[],[f491])). 22.98/3.23 tff(f491,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,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)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f250])). 22.98/3.23 tff(f250,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f646,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.98/3.23 inference(avatar_split_clause,[],[f492,f637,f605,f602,f608,f596,f593,f590,f587,f584,f578,f575])). 22.98/3.23 tff(f645,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_4 | spl30_6 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.98/3.23 inference(avatar_split_clause,[],[f644,f637,f605,f602,f608,f596,f593,f590,f584,f578,f575])). 22.98/3.23 tff(f644,plain,( 22.98/3.23 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) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | 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,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)))),sK13,0)), 22.98/3.23 inference(global_subsumption,[],[f496])). 22.98/3.23 tff(f496,plain,( 22.98/3.23 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) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | 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,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)))),sK13,0)), 22.98/3.23 inference(evaluation,[],[f495])). 22.98/3.23 tff(f495,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | 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,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)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f252])). 22.98/3.23 tff(f252,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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)))) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | 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,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~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)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f643,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_4 | spl30_6 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.98/3.23 inference(avatar_split_clause,[],[f496,f637,f605,f602,f608,f596,f593,f590,f584,f578,f575])). 22.98/3.23 tff(f641,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.98/3.23 inference(avatar_split_clause,[],[f640,f637,f605,f602,f608,f596,f593,f587,f584,f578,f575])). 22.98/3.23 tff(f640,plain,( 22.98/3.23 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) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(global_subsumption,[],[f500])). 22.98/3.23 tff(f500,plain,( 22.98/3.23 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,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)))),sK13,0)), 22.98/3.23 inference(evaluation,[],[f499])). 22.98/3.23 tff(f499,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,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)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f254])). 22.98/3.23 tff(f254,plain,( 22.98/3.23 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | 81 != sK12 | ~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) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(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_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,$sum(sK14,1)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f639,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_4 | ~spl30_5 | ~spl30_7 | ~spl30_8 | spl30_12 | ~spl30_10 | ~spl30_11 | spl30_16), 22.98/3.23 inference(avatar_split_clause,[],[f500,f637,f605,f602,f608,f596,f593,f587,f584,f578,f575])). 22.98/3.23 tff(f634,plain,( 22.98/3.23 ~spl30_1 | ~spl30_15 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f501,f608,f620,f575])). 22.98/3.23 tff(f501,plain,( 22.98/3.23 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(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)), 22.98/3.23 inference(evaluation,[],[f255])). 22.98/3.23 tff(f255,plain,( 22.98/3.23 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(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)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f633,plain,( 22.98/3.23 ~spl30_1 | ~spl30_14 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f502,f608,f616,f575])). 22.98/3.23 tff(f502,plain,( 22.98/3.23 ~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,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)), 22.98/3.23 inference(evaluation,[],[f256])). 22.98/3.23 tff(f256,plain,( 22.98/3.23 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(80,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)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f632,plain,( 22.98/3.23 ~spl30_1 | spl30_13 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f503,f608,f612,f575])). 22.98/3.23 tff(f503,plain,( 22.98/3.23 ~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,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)), 22.98/3.23 inference(evaluation,[],[f257])). 22.98/3.23 tff(f257,plain,( 22.98/3.23 $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) | 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)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f631,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f509,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 22.98/3.23 tff(f509,plain,( 22.98/3.23 ~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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~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)))),sK13,0)), 22.98/3.23 inference(evaluation,[],[f508])). 22.98/3.23 tff(f508,plain,( 22.98/3.23 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~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)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f264])). 22.98/3.23 tff(f264,plain,( 22.98/3.23 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 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_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)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f630,plain,( 22.98/3.23 ~spl30_1 | ~spl30_15 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f629,f608,f620,f575])). 22.98/3.23 tff(f629,plain,( 22.98/3.23 ~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) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(global_subsumption,[],[f549])). 22.98/3.23 tff(f549,plain,( 22.98/3.23 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(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)), 22.98/3.23 inference(duplicate_literal_removal,[],[f306])). 22.98/3.23 tff(f306,plain,( 22.98/3.23 ~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) | ~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) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f628,plain,( 22.98/3.23 ~spl30_1 | ~spl30_14 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f627,f608,f616,f575])). 22.98/3.23 tff(f627,plain,( 22.98/3.23 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(80,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)), 22.98/3.23 inference(global_subsumption,[],[f550])). 22.98/3.23 tff(f550,plain,( 22.98/3.23 ~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) | ~$less(80,sK14) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f307])). 22.98/3.23 tff(f307,plain,( 22.98/3.23 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$less(80,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)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f626,plain,( 22.98/3.23 ~spl30_1 | spl30_13 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f625,f608,f612,f575])). 22.98/3.23 tff(f625,plain,( 22.98/3.23 ~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,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)), 22.98/3.23 inference(global_subsumption,[],[f551])). 22.98/3.23 tff(f551,plain,( 22.98/3.23 ~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,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)), 22.98/3.23 inference(duplicate_literal_removal,[],[f308])). 22.98/3.23 tff(f308,plain,( 22.98/3.23 ~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) | ~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,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)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f624,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f623,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 22.98/3.23 tff(f623,plain,( 22.98/3.23 ~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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 22.98/3.23 inference(global_subsumption,[],[f558])). 22.98/3.23 tff(f558,plain,( 22.98/3.23 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~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)))),sK13,0)), 22.98/3.23 inference(duplicate_literal_removal,[],[f315])). 22.98/3.23 tff(f315,plain,( 22.98/3.23 ~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) | ~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) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~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)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 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_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)))),sK13,0)), 22.98/3.23 inference(cnf_transformation,[],[f167])). 22.98/3.23 tff(f622,plain,( 22.98/3.23 ~spl30_1 | ~spl30_15 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f549,f608,f620,f575])). 22.98/3.23 tff(f618,plain,( 22.98/3.23 ~spl30_1 | ~spl30_14 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f550,f608,f616,f575])). 22.98/3.23 tff(f614,plain,( 22.98/3.23 ~spl30_1 | spl30_13 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f551,f608,f612,f575])). 22.98/3.23 tff(f610,plain,( 22.98/3.23 ~spl30_1 | ~spl30_2 | ~spl30_3 | ~spl30_4 | ~spl30_5 | ~spl30_6 | ~spl30_7 | ~spl30_8 | ~spl30_9 | ~spl30_10 | ~spl30_11 | ~spl30_12), 22.98/3.23 inference(avatar_split_clause,[],[f558,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 22.98/3.23 % SZS output end Proof for theBenchmark 22.98/3.23 % (32716)------------------------------ 22.98/3.23 % (32716)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 22.98/3.23 % (32716)Termination reason: Refutation 22.98/3.23 22.98/3.23 % (32716)Memory used [KB]: 11769 22.98/3.23 % (32716)Time elapsed: 2.774 s 22.98/3.23 % (32716)------------------------------ 22.98/3.23 % (32716)------------------------------ 22.98/3.23 % (32687)Success in time 2.891 s 22.98/3.24 EOF