0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n006.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 08:27:00 EDT 2020 0.12/0.33 % CPUTime : 0.18/0.41 % 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 3.24/3.40 % Time limit reached! 3.24/3.40 % ------------------------------ 3.24/3.40 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.24/3.40 % Termination reason: Time limit 3.24/3.40 % Termination phase: Saturation 3.24/3.40 3.24/3.40 % Memory used [KB]: 26353 3.24/3.40 % Time elapsed: 3.0000 s 3.24/3.40 % ------------------------------ 3.24/3.40 % ------------------------------ 3.24/3.47 % 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 6.29/6.45 % Time limit reached! 6.29/6.45 % ------------------------------ 6.29/6.45 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.29/6.45 % Termination reason: Time limit 6.29/6.45 % Termination phase: Saturation 6.29/6.45 6.29/6.45 % Memory used [KB]: 93132 6.29/6.45 % Time elapsed: 3.0000 s 6.29/6.45 % ------------------------------ 6.29/6.45 % ------------------------------ 6.38/6.52 % 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 9.80/10.00 % Time limit reached! 9.80/10.00 % ------------------------------ 9.80/10.00 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.80/10.00 % Termination reason: Time limit 9.80/10.00 % Termination phase: Saturation 9.80/10.00 9.80/10.00 % Memory used [KB]: 10746 9.80/10.00 % Time elapsed: 3.500 s 9.80/10.00 % ------------------------------ 9.80/10.00 % ------------------------------ 9.91/10.07 % 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 13.82/13.97 % Time limit reached! 13.82/13.97 % ------------------------------ 13.82/13.97 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.82/13.97 % Termination reason: Time limit 13.82/13.97 % Termination phase: Saturation 13.82/13.97 13.82/13.97 % Memory used [KB]: 36459 13.82/13.97 % Time elapsed: 3.900 s 13.82/13.97 % ------------------------------ 13.82/13.97 % ------------------------------ 13.90/14.04 % 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 21.61/21.72 % Time limit reached! 21.61/21.72 % ------------------------------ 21.61/21.72 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 21.61/21.72 % Termination reason: Time limit 21.61/21.72 % Termination phase: Saturation 21.61/21.72 21.61/21.72 % Memory used [KB]: 21748 21.61/21.72 % Time elapsed: 7.700 s 21.61/21.72 % ------------------------------ 21.61/21.72 % ------------------------------ 21.71/21.79 % 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 23.52/23.59 % Time limit reached! 23.52/23.59 % ------------------------------ 23.52/23.59 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 23.52/23.59 % Termination reason: Time limit 23.52/23.59 % Termination phase: Saturation 23.52/23.59 23.52/23.59 % Memory used [KB]: 28528 23.52/23.59 % Time elapsed: 1.800 s 23.52/23.59 % ------------------------------ 23.52/23.59 % ------------------------------ 23.60/23.66 % 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 24.20/24.25 % Time limit reached! 24.20/24.25 % ------------------------------ 24.20/24.25 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 24.20/24.25 % Termination reason: Time limit 24.20/24.25 % Termination phase: Saturation 24.20/24.25 24.20/24.25 % Memory used [KB]: 9083 24.20/24.25 % Time elapsed: 0.600 s 24.20/24.25 % ------------------------------ 24.20/24.25 % ------------------------------ 24.27/24.32 % 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 25.33/25.40 % Time limit reached! 25.33/25.40 % ------------------------------ 25.33/25.40 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.33/25.40 % Termination reason: Time limit 25.33/25.40 % Termination phase: Saturation 25.33/25.40 25.33/25.40 % Memory used [KB]: 16758 25.33/25.40 % Time elapsed: 1.100 s 25.33/25.40 % ------------------------------ 25.33/25.40 % ------------------------------ 25.41/25.43 % 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 27.10/27.11 % Time limit reached! 27.10/27.11 % ------------------------------ 27.10/27.11 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 27.10/27.11 % Termination reason: Time limit 27.10/27.11 % Termination phase: Saturation 27.10/27.11 27.10/27.11 % Memory used [KB]: 8059 27.10/27.11 % Time elapsed: 1.700 s 27.10/27.11 % ------------------------------ 27.10/27.11 % ------------------------------ 27.13/27.17 % 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 46.68/46.55 % Time limit reached! 46.68/46.55 % ------------------------------ 46.68/46.55 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 46.68/46.55 % Termination reason: Time limit 46.68/46.55 % Termination phase: Saturation 46.68/46.55 46.68/46.55 % Memory used [KB]: 12920 46.68/46.55 % Time elapsed: 19.400 s 46.68/46.55 % ------------------------------ 46.68/46.55 % ------------------------------ 46.74/46.62 % 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 46.74/47.12 % Time limit reached! 46.74/47.12 % ------------------------------ 46.74/47.12 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 46.74/47.12 % Termination reason: Time limit 46.74/47.12 % Termination phase: Saturation 46.74/47.12 46.74/47.12 % Memory used [KB]: 6524 46.74/47.12 % Time elapsed: 0.500 s 46.74/47.12 % ------------------------------ 46.74/47.12 % ------------------------------ 46.74/47.15 % 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 46.74/47.16 % Refutation not found, incomplete strategy 46.74/47.16 % ------------------------------ 46.74/47.16 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 46.74/47.16 % Termination reason: Refutation not found, incomplete strategy 46.74/47.16 46.74/47.16 % Memory used [KB]: 5756 46.74/47.16 % Time elapsed: 0.009 s 46.74/47.16 % ------------------------------ 46.74/47.16 % ------------------------------ 47.37/47.19 % 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 48.27/48.09 % Time limit reached! 48.27/48.09 % ------------------------------ 48.27/48.09 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 48.27/48.09 % Termination reason: Time limit 48.27/48.09 % Termination phase: Saturation 48.27/48.09 48.27/48.09 % Memory used [KB]: 26097 48.27/48.09 % Time elapsed: 0.900 s 48.27/48.09 % ------------------------------ 48.27/48.09 % ------------------------------ 48.30/48.12 % 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 49.31/49.12 % Time limit reached! 49.31/49.12 % ------------------------------ 49.31/49.12 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 49.31/49.12 % Termination reason: Time limit 49.31/49.12 % Termination phase: Saturation 49.31/49.12 49.31/49.12 % Memory used [KB]: 6780 49.31/49.12 % Time elapsed: 1.0000 s 49.31/49.12 % ------------------------------ 49.31/49.12 % ------------------------------ 49.31/49.16 % 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 50.59/50.46 % Time limit reached! 50.59/50.46 % ------------------------------ 50.59/50.46 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 50.59/50.46 % Termination reason: Time limit 50.59/50.46 % Termination phase: Saturation 50.59/50.46 50.59/50.46 % Memory used [KB]: 20724 50.59/50.46 % Time elapsed: 1.300 s 50.59/50.46 % ------------------------------ 50.59/50.46 % ------------------------------ 50.68/50.53 % 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 51.73/51.53 % Time limit reached! 51.73/51.53 % ------------------------------ 51.73/51.53 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 51.73/51.53 % Termination reason: Time limit 51.73/51.53 % Termination phase: Saturation 51.73/51.53 51.73/51.53 % Memory used [KB]: 9083 51.73/51.53 % Time elapsed: 1.0000 s 51.73/51.53 % ------------------------------ 51.73/51.53 % ------------------------------ 51.75/51.59 % 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 52.40/52.19 % Time limit reached! 52.40/52.19 % ------------------------------ 52.40/52.19 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 52.40/52.19 % Termination reason: Time limit 52.40/52.19 % Termination phase: Saturation 52.40/52.19 52.40/52.19 % Memory used [KB]: 8187 52.40/52.19 % Time elapsed: 0.600 s 52.40/52.19 % ------------------------------ 52.40/52.19 % ------------------------------ 52.40/52.26 % 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 52.43/52.34 % Refutation not found, incomplete strategy 52.43/52.34 % ------------------------------ 52.43/52.34 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 52.43/52.34 % Termination reason: Refutation not found, incomplete strategy 52.43/52.34 52.43/52.34 % Memory used [KB]: 5628 52.43/52.34 % Time elapsed: 0.078 s 52.43/52.34 % ------------------------------ 52.43/52.34 % ------------------------------ 52.43/52.40 % 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 55.55/55.30 % Time limit reached! 55.55/55.30 % ------------------------------ 55.55/55.30 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 55.55/55.30 % Termination reason: Time limit 55.55/55.30 % Termination phase: Saturation 55.55/55.30 55.55/55.30 % Memory used [KB]: 17654 55.55/55.30 % Time elapsed: 2.900 s 55.55/55.30 % ------------------------------ 55.55/55.30 % ------------------------------ 55.55/55.37 % 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 55.55/55.38 % Refutation not found, incomplete strategy 55.55/55.38 % ------------------------------ 55.55/55.38 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 55.55/55.38 % Termination reason: Refutation not found, incomplete strategy 55.55/55.38 55.55/55.38 % Memory used [KB]: 5756 55.55/55.38 % Time elapsed: 0.020 s 55.55/55.38 % ------------------------------ 55.55/55.38 % ------------------------------ 55.64/55.45 % 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 56.56/56.35 % Time limit reached! 56.56/56.35 % ------------------------------ 56.56/56.35 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 56.56/56.35 % Termination reason: Time limit 56.56/56.35 % Termination phase: Saturation 56.56/56.35 56.56/56.35 % Memory used [KB]: 13432 56.56/56.35 % Time elapsed: 0.900 s 56.56/56.35 % ------------------------------ 56.56/56.35 % ------------------------------ 56.61/56.42 % 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 57.16/56.92 % Time limit reached! 57.16/56.92 % ------------------------------ 57.16/56.92 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 57.16/56.92 % Termination reason: Time limit 57.16/56.92 % Termination phase: Saturation 57.16/56.92 57.16/56.92 % Memory used [KB]: 20596 57.16/56.92 % Time elapsed: 0.500 s 57.16/56.92 % ------------------------------ 57.16/56.92 % ------------------------------ 57.16/56.98 % 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 91.43/90.98 % Time limit reached! 91.43/90.98 % ------------------------------ 91.43/90.98 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 91.43/90.98 % Termination reason: Time limit 91.43/90.98 % Termination phase: Saturation 91.43/90.98 91.43/90.98 % Memory used [KB]: 468734 91.43/90.98 % Time elapsed: 34.0000 s 91.43/90.98 % ------------------------------ 91.43/90.98 % ------------------------------ 91.55/91.08 % 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 91.56/91.15 % Refutation not found, incomplete strategy 91.56/91.15 % ------------------------------ 91.56/91.15 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 91.56/91.15 % Termination reason: Refutation not found, incomplete strategy 91.56/91.15 91.56/91.15 % Memory used [KB]: 5500 91.56/91.15 % Time elapsed: 0.070 s 91.56/91.15 % ------------------------------ 91.56/91.15 % ------------------------------ 91.69/91.22 % 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 103.88/103.32 % Time limit reached! 103.88/103.32 % ------------------------------ 103.88/103.32 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 103.88/103.32 % Termination reason: Time limit 103.88/103.32 % Termination phase: Saturation 103.88/103.32 103.88/103.32 % Memory used [KB]: 50148 103.88/103.32 % Time elapsed: 12.100 s 103.88/103.32 % ------------------------------ 103.88/103.32 % ------------------------------ 103.88/103.39 % 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 114.58/113.98 % Time limit reached! 114.58/113.98 % ------------------------------ 114.58/113.98 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 114.58/113.98 % Termination reason: Time limit 114.58/113.98 % Termination phase: Saturation 114.58/113.98 114.58/113.98 % Memory used [KB]: 7931 114.58/113.98 % Time elapsed: 10.600 s 114.58/113.98 % ------------------------------ 114.58/113.98 % ------------------------------ 114.66/114.05 % 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 115.26/114.62 % Time limit reached! 115.26/114.62 % ------------------------------ 115.26/114.62 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 115.26/114.62 % Termination reason: Time limit 115.26/114.62 % Termination phase: Saturation 115.26/114.62 115.26/114.62 % Memory used [KB]: 15479 115.26/114.62 % Time elapsed: 0.600 s 115.26/114.62 % ------------------------------ 115.26/114.62 % ------------------------------ 115.32/114.69 % 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 116.08/115.46 % Time limit reached! 116.08/115.46 % ------------------------------ 116.08/115.46 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 116.08/115.46 % Termination reason: Time limit 116.08/115.46 % Termination phase: Saturation 116.08/115.46 116.08/115.46 % Memory used [KB]: 15735 116.08/115.46 % Time elapsed: 0.800 s 116.08/115.46 % ------------------------------ 116.08/115.46 % ------------------------------ 116.15/115.53 % 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 117.31/116.64 % Refutation found. Thanks to Tanya! 117.31/116.64 % SZS status Theorem for theBenchmark 117.31/116.64 % SZS output start Proof for theBenchmark 117.31/116.64 tff(type_def_5, type, uni: $tType). 117.31/116.64 tff(type_def_6, type, ty: $tType). 117.31/116.64 tff(type_def_7, type, bool1: $tType). 117.31/116.64 tff(type_def_8, type, tuple02: $tType). 117.31/116.64 tff(type_def_9, type, map_int_int: $tType). 117.31/116.64 tff(type_def_10, type, sudoku_chunks1: $tType). 117.31/116.64 tff(type_def_11, type, array_int: $tType). 117.31/116.64 tff(func_def_0, type, witness1: ty > uni). 117.31/116.64 tff(func_def_1, type, int: ty). 117.31/116.64 tff(func_def_2, type, real: ty). 117.31/116.64 tff(func_def_3, type, bool: ty). 117.31/116.64 tff(func_def_4, type, true1: bool1). 117.31/116.64 tff(func_def_5, type, false1: bool1). 117.31/116.64 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 117.31/116.64 tff(func_def_7, type, tuple0: ty). 117.31/116.64 tff(func_def_8, type, tuple03: tuple02). 117.31/116.64 tff(func_def_9, type, qtmark: ty). 117.31/116.64 tff(func_def_10, type, map: (ty * ty) > ty). 117.31/116.64 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 117.31/116.64 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 117.31/116.64 tff(func_def_13, type, const: (ty * ty * uni) > uni). 117.31/116.64 tff(func_def_14, type, t2tb: map_int_int > uni). 117.31/116.64 tff(func_def_15, type, tb2t: uni > map_int_int). 117.31/116.64 tff(func_def_16, type, t2tb1: $int > uni). 117.31/116.64 tff(func_def_17, type, tb2t1: uni > $int). 117.31/116.64 tff(func_def_18, type, array: ty > ty). 117.31/116.64 tff(func_def_19, type, mk_array1: (ty * $int * uni) > uni). 117.31/116.64 tff(func_def_20, type, length1: (ty * uni) > $int). 117.31/116.64 tff(func_def_21, type, elts: (ty * uni) > uni). 117.31/116.64 tff(func_def_22, type, get2: (ty * uni * $int) > uni). 117.31/116.64 tff(func_def_23, type, set2: (ty * uni * $int * uni) > uni). 117.31/116.64 tff(func_def_24, type, make1: (ty * $int * uni) > uni). 117.31/116.64 tff(func_def_25, type, sudoku_chunks: ty). 117.31/116.64 tff(func_def_26, type, mk_sudoku_chunks1: (array_int * array_int * array_int * array_int * array_int * array_int) > sudoku_chunks1). 117.31/116.64 tff(func_def_27, type, column_start1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_28, type, column_offsets1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_29, type, row_start1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_30, type, row_offsets1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_31, type, square_start1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_32, type, square_offsets1: sudoku_chunks1 > array_int). 117.31/116.64 tff(func_def_33, type, t2tb2: array_int > uni). 117.31/116.64 tff(func_def_34, type, tb2t2: uni > array_int). 117.31/116.64 tff(func_def_42, type, sK0: $int). 117.31/116.64 tff(func_def_43, type, sK1: map_int_int). 117.31/116.64 tff(func_def_44, type, sK2: $int). 117.31/116.64 tff(func_def_45, type, sK3: map_int_int). 117.31/116.64 tff(func_def_46, type, sK4: $int). 117.31/116.64 tff(func_def_47, type, sK5: map_int_int). 117.31/116.64 tff(func_def_48, type, sK6: $int). 117.31/116.64 tff(func_def_49, type, sK7: map_int_int). 117.31/116.64 tff(func_def_50, type, sK8: $int). 117.31/116.64 tff(func_def_51, type, sK9: map_int_int). 117.31/116.64 tff(func_def_52, type, sK10: $int). 117.31/116.64 tff(func_def_53, type, sK11: map_int_int). 117.31/116.64 tff(func_def_54, type, sK12: $int). 117.31/116.64 tff(func_def_55, type, sK13: map_int_int). 117.31/116.64 tff(func_def_56, type, sK14: $int). 117.31/116.64 tff(func_def_57, type, sK15: map_int_int > $int). 117.31/116.64 tff(func_def_58, type, sK16: map_int_int > $int). 117.31/116.64 tff(func_def_59, type, sK17: (array_int * array_int) > $int). 117.31/116.64 tff(func_def_60, type, sK18: (array_int * array_int) > $int). 117.31/116.64 tff(func_def_61, type, sK19: (array_int * array_int) > $int). 117.31/116.64 tff(func_def_62, type, sK20: (array_int * array_int) > $int). 117.31/116.64 tff(func_def_63, type, sK21: (array_int * array_int) > $int). 117.31/116.64 tff(func_def_64, type, sK22: (sudoku_chunks1 * map_int_int) > $int). 117.31/116.64 tff(func_def_65, type, sK23: (map_int_int * map_int_int) > $int). 117.31/116.64 tff(func_def_66, type, sK24: (sudoku_chunks1 * map_int_int * $int) > $int). 117.31/116.64 tff(func_def_67, type, sK25: (map_int_int * map_int_int * $int * $int) > $int). 117.31/116.64 tff(func_def_68, type, sK26: (map_int_int * $int * array_int * array_int) > $int). 117.31/116.64 tff(func_def_69, type, sK27: (map_int_int * $int * array_int * array_int) > $int). 117.31/116.64 tff(func_def_70, type, sK28: (map_int_int * $int * array_int * array_int * $int) > $int). 117.31/116.64 tff(func_def_71, type, sK29: (map_int_int * $int * array_int * array_int * $int) > $int). 117.31/116.64 tff(pred_def_1, type, sort1: (ty * uni) > $o). 117.31/116.64 tff(pred_def_2, type, is_index1: $int > $o). 117.31/116.64 tff(pred_def_3, type, valid_values1: map_int_int > $o). 117.31/116.64 tff(pred_def_4, type, grid_eq_sub1: (map_int_int * map_int_int * $int * $int) > $o). 117.31/116.64 tff(pred_def_5, type, chunk_valid_indexes1: (array_int * array_int) > $o). 117.31/116.64 tff(pred_def_6, type, disjoint_chunks1: (array_int * array_int) > $o). 117.31/116.64 tff(pred_def_7, type, well_formed_sudoku1: sudoku_chunks1 > $o). 117.31/116.64 tff(pred_def_8, type, valid_chunk1: (map_int_int * $int * array_int * array_int) > $o). 117.31/116.64 tff(pred_def_9, type, valid_column1: (sudoku_chunks1 * map_int_int * $int) > $o). 117.31/116.64 tff(pred_def_10, type, valid_row1: (sudoku_chunks1 * map_int_int * $int) > $o). 117.31/116.64 tff(pred_def_11, type, valid_square1: (sudoku_chunks1 * map_int_int * $int) > $o). 117.31/116.64 tff(pred_def_12, type, valid1: (sudoku_chunks1 * map_int_int) > $o). 117.31/116.64 tff(pred_def_13, type, full1: map_int_int > $o). 117.31/116.64 tff(pred_def_14, type, included1: (map_int_int * map_int_int) > $o). 117.31/116.64 tff(pred_def_15, type, is_solution_for1: (sudoku_chunks1 * map_int_int * map_int_int) > $o). 117.31/116.64 tff(pred_def_16, type, valid_chunk_up_to1: (map_int_int * $int * array_int * array_int * $int) > $o). 117.31/116.64 tff(pred_def_17, type, valid_up_to1: (sudoku_chunks1 * map_int_int * $int) > $o). 117.31/116.64 tff(f8310,plain,( 117.31/116.64 $false), 117.31/116.64 inference(avatar_sat_refutation,[],[f610,f614,f618,f622,f624,f626,f628,f630,f631,f632,f633,f634,f641,f643,f647,f649,f650,f652,f656,f658,f659,f661,f662,f664,f665,f666,f670,f671,f672,f673,f677,f681,f685,f689,f693,f697,f701,f705,f709,f713,f721,f747,f754,f761,f765,f769,f770,f774,f796,f803,f810,f814,f818,f819,f823,f845,f852,f859,f863,f867,f868,f872,f894,f901,f908,f912,f916,f917,f921,f999,f1006,f1013,f1017,f1021,f1022,f1026,f1048,f1055,f1062,f1066,f1070,f1071,f1075,f1093,f1101,f1109,f1119,f1137,f1145,f1153,f1163,f1181,f1189,f1197,f1207,f1222,f1226,f1230,f1234,f1238,f1244,f1250,f1256,f1262,f1268,f1283,f1287,f1291,f1295,f1299,f1305,f1311,f1317,f1323,f1329,f1344,f1348,f1352,f1356,f1360,f1366,f1372,f1378,f1384,f1390,f1446,f1452,f1458,f1464,f1470,f1476,f1487,f1491,f1501,f1513,f1517,f1524,f1528,f1538,f1542,f1546,f1550,f1573,f1580,f1584,f1588,f1589,f1593,f1604,f1611,f1621,f1625,f1635,f1645,f1665,f1686,f1706,f1726,f1747,f1870,f1874,f1917,f1921,f1922,f1926,f1930,f1934,f2008,f2013,f2026,f2035,f2040,f2068,f2073,f2102,f2103,f2107,f2111,f2115,f2116,f2120,f2124,f2128,f2145,f2146,f2150,f2154,f2158,f2159,f2163,f2167,f2171,f2188,f2189,f2193,f2197,f2201,f2202,f2206,f2210,f2214,f2220,f2249,f2250,f2254,f2258,f2262,f2263,f2267,f2271,f2275,f2292,f2293,f2297,f2301,f2305,f2306,f2310,f2314,f2318,f2335,f2336,f2340,f2344,f2348,f2349,f2353,f2357,f2361,f2378,f2379,f2383,f2387,f2391,f2392,f2396,f2400,f2404,f2421,f2422,f2426,f2430,f2434,f2435,f2439,f2443,f2447,f2464,f2465,f2469,f2473,f2477,f2478,f2482,f2486,f2490,f2505,f2517,f2529,f2541,f2557,f2569,f2581,f2602,f2606,f2654,f2662,f2677,f2689,f2693,f2701,f2709,f2717,f2742,f2749,f2756,f2760,f2764,f2765,f2769,f2797,f2798,f2802,f2806,f2810,f2821,f2825,f2831,f2836,f2837,f2843,f2844,f2848,f2867,f2901,f2905,f2909,f2916,f2920,f2924,f2931,f2935,f2939,f2946,f2950,f2954,f2961,f2965,f2969,f2976,f2980,f2984,f2991,f2995,f2999,f3006,f3010,f3014,f3047,f3063,f3079,f3090,f3091,f3095,f3099,f3103,f3126,f3139,f3177,f3197,f3207,f3217,f3227,f3235,f3243,f3247,f3253,f3258,f3259,f3265,f3272,f3273,f3279,f3283,f3287,f3288,f3289,f3290,f3291,f3295,f3299,f3300,f3301,f3302,f3303,f3304,f3305,f3306,f3307,f3308,f3309,f3317,f3322,f3327,f3421,f3428,f3432,f3454,f3461,f3465,f3487,f3494,f3498,f3522,f3529,f3533,f3555,f3562,f3566,f3588,f3595,f3599,f3614,f3639,f3664,f3691,f3699,f3716,f3724,f3743,f3751,f3802,f3809,f3816,f3820,f3824,f3825,f3829,f3857,f3863,f3867,f3868,f3869,f3872,f3875,f3880,f3909,f3915,f3919,f3920,f3921,f3924,f3927,f3932,f3955,f4287,f4288,f4292,f4302,f4303,f4307,f4314,f4350,f4351,f4355,f4365,f4366,f4370,f4381,f4382,f4386,f4440,f4448,f4456,f4464,f4473,f4478,f4483,f4488,f4493,f4498,f4503,f4508,f4513,f4518,f4523,f4537,f4542,f4550,f4558,f4566,f4594,f4602,f4610,f4618,f4626,f4634,f4642,f4650,f4654,f4676,f4677,f4681,f4790,f4829,f4868,f4908,f4938,f4942,f4945,f5026,f5027,f5032,f5036,f5040,f5109,f5114,f5126,f5130,f5142,f5146,f5172,f5176,f5188,f5193,f5205,f5209,f5221,f5225,f5250,f5254,f5362,f5371,f5380,f5418,f5427,f5436,f5470,f5479,f5488,f5497,f5506,f5515,f5524,f5533,f5552,f5810,f5834,f5839,f5844,f5849,f5854,f5859,f5864,f5869,f5874,f5879,f5884,f5900,f5905,f6616,f6637,f6642,f6647,f6652,f6657,f6662,f6667,f6672,f6677,f6682,f6687,f6703,f6708,f7384,f7393,f7395,f7411,f7420,f7422,f7438,f7447,f7449,f7455,f7478,f7485,f7492,f7496,f7500,f7501,f7505,f7541,f7566,f7597,f7599,f7624,f7655,f7657,f7682,f7713,f7715,f7741,f7772,f7774,f7799,f7830,f7832,f7857,f7888,f7890,f7909,f8011,f8042,f8046,f8054,f8062,f8098,f8130,f8140,f8171,f8172,f8180,f8188,f8224,f8259,f8290,f8291,f8299,f8307])). 117.31/116.64 tff(f8307,plain,( 117.31/116.64 ~spl30_797 | spl30_1066 | ~spl30_993 | ~spl30_22 | ~spl30_160 | ~spl30_162 | ~spl30_796), 117.31/116.64 inference(avatar_split_clause,[],[f8303,f4312,f4379,f4674,f636,f8288,f8305,f4788])). 117.31/116.64 tff(f4788,plain,( 117.31/116.64 spl30_797 <=> ~is_index1(9)), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_797])])). 117.31/116.64 tff(f8305,plain,( 117.31/116.64 spl30_1066 <=> ! [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))), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_1066])])). 117.31/116.64 tff(f8288,plain,( 117.31/116.64 spl30_993 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_993])])). 117.31/116.64 tff(f636,plain,( 117.31/116.64 spl30_22 <=> 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)), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 117.31/116.64 tff(f4674,plain,( 117.31/116.64 spl30_160 <=> 9 = sK2), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_160])])). 117.31/116.64 tff(f4379,plain,( 117.31/116.64 spl30_162 <=> 81 = sK0), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_162])])). 117.31/116.64 tff(f4312,plain,( 117.31/116.64 spl30_796 <=> is_index1(9)), 117.31/116.64 introduced(avatar_definition,[new_symbols(naming,[spl30_796])])). 117.31/116.64 tff(f8303,plain,( 117.31/116.64 ( ! [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_22 | ~spl30_160 | ~spl30_162 | ~spl30_796)), 117.31/116.64 inference(forward_demodulation,[],[f8302,f4380])). 117.31/116.64 tff(f4380,plain,( 117.31/116.64 81 = sK0 | ~spl30_162), 117.31/116.64 inference(avatar_component_clause,[],[f4379])). 117.31/116.64 tff(f8302,plain,( 117.31/116.64 ( ! [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_22 | ~spl30_160 | ~spl30_162 | ~spl30_796)), 117.31/116.64 inference(forward_demodulation,[],[f8301,f4675])). 117.31/116.64 tff(f4675,plain,( 117.31/116.64 9 = sK2 | ~spl30_160), 117.31/116.64 inference(avatar_component_clause,[],[f4674])). 117.31/116.64 tff(f8301,plain,( 117.31/116.64 ( ! [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_22 | ~spl30_160 | ~spl30_162 | ~spl30_796)), 117.31/116.64 inference(forward_demodulation,[],[f8300,f4380])). 117.31/116.64 tff(f8300,plain,( 117.31/116.64 ( ! [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_22 | ~spl30_160 | ~spl30_796)), 117.31/116.64 inference(forward_demodulation,[],[f8255,f4675])). 117.31/116.64 tff(f8255,plain,( 117.31/116.64 ( ! [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_22 | ~spl30_796)), 117.31/116.64 inference(resolution,[],[f3773,f4321])). 117.31/116.64 tff(f4321,plain,( 117.31/116.64 ( ! [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_796), 117.31/116.64 inference(resolution,[],[f4313,f365])). 117.31/116.64 tff(f365,plain,( 117.31/116.64 ( ! [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)) )), 117.31/116.64 inference(cnf_transformation,[],[f135])). 117.31/116.64 tff(f135,plain,( 117.31/116.64 ! [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))), 117.31/116.64 inference(flattening,[],[f134])). 117.31/116.64 tff(f134,plain,( 117.31/116.64 ! [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))), 117.31/116.64 inference(ennf_transformation,[],[f95])). 117.31/116.64 tff(f95,plain,( 117.31/116.64 ! [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)))), 117.31/116.64 inference(rectify,[],[f55])). 117.31/116.64 tff(f55,axiom,( 117.31/116.64 ! [X1 : map_int_int,X47 : map_int_int] : (included1(X1,X47) => ! [X2 : $int,X0 : array_int,X14 : array_int] : ((valid_chunk1(X47,X2,X0,X14) & chunk_valid_indexes1(X0,X14) & is_index1(X2)) => valid_chunk1(X1,X2,X0,X14)))), 117.31/116.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_valid_chunk)). 117.31/116.64 tff(f4313,plain,( 117.31/116.64 is_index1(9) | ~spl30_796), 117.31/116.64 inference(avatar_component_clause,[],[f4312])). 117.31/116.64 tff(f3773,plain,( 117.31/116.64 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.64 inference(forward_demodulation,[],[f3772,f455])). 117.31/116.64 tff(f455,plain,( 117.31/116.64 ( ! [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) )), 117.31/116.64 inference(cnf_transformation,[],[f124])). 117.31/116.64 tff(f124,plain,( 117.31/116.64 ! [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), 117.31/116.64 inference(rectify,[],[f48])). 117.31/116.64 tff(f48,axiom,( 117.31/116.64 ! [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), 117.31/116.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_start_def1)). 117.31/116.64 tff(f3772,plain,( 117.31/116.64 ( ! [X0:$int] : (valid_chunk1(sK13,X0,column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.64 inference(forward_demodulation,[],[f3770,f457])). 117.31/116.64 tff(f457,plain,( 117.31/116.64 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1) )), 117.31/116.64 inference(cnf_transformation,[],[f126])). 117.31/116.64 tff(f126,plain,( 117.31/116.64 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : column_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X1), 117.31/116.64 inference(rectify,[],[f25])). 117.31/116.64 tff(f25,axiom,( 117.31/116.64 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : column_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X5), 117.31/116.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_offsets_def1)). 117.31/116.64 tff(f3770,plain,( 117.31/116.64 ( ! [X0:$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_22), 117.31/116.64 inference(resolution,[],[f1506,f404])). 117.31/116.64 tff(f404,plain,( 117.31/116.64 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)) | ~valid_column1(X0,X1,X2)) )), 117.31/116.64 inference(cnf_transformation,[],[f198])). 117.31/116.64 tff(f198,plain,( 117.31/116.64 ! [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)))), 117.31/116.64 inference(nnf_transformation,[],[f11])). 117.31/116.65 tff(f11,axiom,( 117.31/116.65 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_column1(X0,X1,X2) <=> valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0)))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_column_def)). 117.31/116.65 tff(f1506,plain,( 117.31/116.65 ( ! [X4:$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_22), 117.31/116.65 inference(resolution,[],[f637,f386])). 117.31/116.65 tff(f386,plain,( 117.31/116.65 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 117.31/116.65 inference(cnf_transformation,[],[f193])). 117.31/116.65 tff(f193,plain,( 117.31/116.65 ! [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)))))), 117.31/116.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f191,f192])). 117.31/116.65 tff(f192,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 introduced(choice_axiom,[])). 117.31/116.65 tff(f191,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 inference(rectify,[],[f190])). 117.31/116.65 tff(f190,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 inference(nnf_transformation,[],[f140])). 117.31/116.65 tff(f140,plain,( 117.31/116.65 ! [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))), 117.31/116.65 inference(ennf_transformation,[],[f52])). 117.31/116.65 tff(f52,axiom,( 117.31/116.65 ! [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))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_def)). 117.31/116.65 tff(f637,plain,( 117.31/116.65 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_22), 117.31/116.65 inference(avatar_component_clause,[],[f636])). 117.31/116.65 tff(f8299,plain,( 117.31/116.65 ~spl30_19 | spl30_1064 | ~spl30_993 | ~spl30_18 | ~spl30_22 | ~spl30_160 | ~spl30_162), 117.31/116.65 inference(avatar_split_clause,[],[f8295,f4379,f4674,f636,f2846,f8288,f8297,f602])). 117.31/116.65 tff(f602,plain,( 117.31/116.65 spl30_19 <=> ~is_index1(sK14)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 117.31/116.65 tff(f8297,plain,( 117.31/116.65 spl30_1064 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1064])])). 117.31/116.65 tff(f2846,plain,( 117.31/116.65 spl30_18 <=> is_index1(sK14)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 117.31/116.65 tff(f8295,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8294,f4380])). 117.31/116.65 tff(f8294,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8293,f4675])). 117.31/116.65 tff(f8293,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8292,f4380])). 117.31/116.65 tff(f8292,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_160)), 117.31/116.65 inference(forward_demodulation,[],[f8254,f4675])). 117.31/116.65 tff(f8254,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3773,f2857])). 117.31/116.65 tff(f2857,plain,( 117.31/116.65 ( ! [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_18), 117.31/116.65 inference(resolution,[],[f2847,f365])). 117.31/116.65 tff(f2847,plain,( 117.31/116.65 is_index1(sK14) | ~spl30_18), 117.31/116.65 inference(avatar_component_clause,[],[f2846])). 117.31/116.65 tff(f8291,plain,( 117.31/116.65 ~spl30_1051 | ~spl30_19 | ~spl30_22 | ~spl30_668), 117.31/116.65 inference(avatar_split_clause,[],[f8253,f3325,f636,f602,f8044])). 117.31/116.65 tff(f8044,plain,( 117.31/116.65 spl30_1051 <=> ~included1(sK13,sK13)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1051])])). 117.31/116.65 tff(f3325,plain,( 117.31/116.65 spl30_668 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_668])])). 117.31/116.65 tff(f8253,plain,( 117.31/116.65 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_22 | ~spl30_668)), 117.31/116.65 inference(resolution,[],[f3773,f3326])). 117.31/116.65 tff(f3326,plain,( 117.31/116.65 ( ! [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_668), 117.31/116.65 inference(avatar_component_clause,[],[f3325])). 117.31/116.65 tff(f8290,plain,( 117.31/116.65 spl30_1062 | ~spl30_993 | ~spl30_22 | ~spl30_160 | ~spl30_162), 117.31/116.65 inference(avatar_split_clause,[],[f8283,f4379,f4674,f636,f8288,f8285])). 117.31/116.65 tff(f8285,plain,( 117.31/116.65 spl30_1062 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~included1(X4,sK13) | ~is_index1(X3))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1062])])). 117.31/116.65 tff(f8283,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8282,f4380])). 117.31/116.65 tff(f8282,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8281,f4675])). 117.31/116.65 tff(f8281,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_160 | ~spl30_162)), 117.31/116.65 inference(forward_demodulation,[],[f8280,f4380])). 117.31/116.65 tff(f8280,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_160)), 117.31/116.65 inference(forward_demodulation,[],[f8258,f4675])). 117.31/116.65 tff(f8258,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22), 117.31/116.65 inference(duplicate_literal_removal,[],[f8252])). 117.31/116.65 tff(f8252,plain,( 117.31/116.65 ( ! [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_22), 117.31/116.65 inference(resolution,[],[f3773,f365])). 117.31/116.65 tff(f8259,plain,( 117.31/116.65 ~spl30_19 | spl30_5 | ~spl30_22), 117.31/116.65 inference(avatar_split_clause,[],[f8250,f636,f581,f602])). 117.31/116.65 tff(f581,plain,( 117.31/116.65 spl30_5 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 117.31/116.65 tff(f8250,plain,( 117.31/116.65 ~is_index1(sK14) | (~spl30_5 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3773,f582])). 117.31/116.65 tff(f582,plain,( 117.31/116.65 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_5), 117.31/116.65 inference(avatar_component_clause,[],[f581])). 117.31/116.65 tff(f8224,plain,( 117.31/116.65 spl30_938 | ~spl30_10 | ~spl30_184 | ~spl30_186), 117.31/116.65 inference(avatar_split_clause,[],[f8220,f4348,f4363,f645,f8222])). 117.31/116.65 tff(f8222,plain,( 117.31/116.65 spl30_938 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_938])])). 117.31/116.65 tff(f645,plain,( 117.31/116.65 spl30_10 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 117.31/116.65 tff(f4363,plain,( 117.31/116.65 spl30_184 <=> 9 = sK10), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_184])])). 117.31/116.65 tff(f4348,plain,( 117.31/116.65 spl30_186 <=> 81 = sK8), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_186])])). 117.31/116.65 tff(f8220,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_10 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8219,f4349])). 117.31/116.65 tff(f4349,plain,( 117.31/116.65 81 = sK8 | ~spl30_186), 117.31/116.65 inference(avatar_component_clause,[],[f4348])). 117.31/116.65 tff(f8219,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_10 | ~spl30_184)), 117.31/116.65 inference(forward_demodulation,[],[f646,f4364])). 117.31/116.65 tff(f4364,plain,( 117.31/116.65 9 = sK10 | ~spl30_184), 117.31/116.65 inference(avatar_component_clause,[],[f4363])). 117.31/116.65 tff(f646,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_10), 117.31/116.65 inference(avatar_component_clause,[],[f645])). 117.31/116.65 tff(f8188,plain,( 117.31/116.65 ~spl30_797 | spl30_1060 | ~spl30_963 | ~spl30_22 | ~spl30_184 | ~spl30_186 | ~spl30_796), 117.31/116.65 inference(avatar_split_clause,[],[f8184,f4312,f4348,f4363,f636,f8169,f8186,f4788])). 117.31/116.65 tff(f8186,plain,( 117.31/116.65 spl30_1060 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1060])])). 117.31/116.65 tff(f8169,plain,( 117.31/116.65 spl30_963 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_963])])). 117.31/116.65 tff(f8184,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_184 | ~spl30_186 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8183,f4349])). 117.31/116.65 tff(f8183,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_184 | ~spl30_186 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8182,f4364])). 117.31/116.65 tff(f8182,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_184 | ~spl30_186 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8181,f4349])). 117.31/116.65 tff(f8181,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_184 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8136,f4364])). 117.31/116.65 tff(f8136,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_796)), 117.31/116.65 inference(resolution,[],[f3765,f4321])). 117.31/116.65 tff(f3765,plain,( 117.31/116.65 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.65 inference(forward_demodulation,[],[f3764,f458])). 117.31/116.65 tff(f458,plain,( 117.31/116.65 ( ! [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) )), 117.31/116.65 inference(cnf_transformation,[],[f127])). 117.31/116.65 tff(f127,plain,( 117.31/116.65 ! [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), 117.31/116.65 inference(rectify,[],[f13])). 117.31/116.65 tff(f13,axiom,( 117.31/116.65 ! [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), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_start_def1)). 117.31/116.65 tff(f3764,plain,( 117.31/116.65 ( ! [X0:$int] : (valid_chunk1(sK13,X0,square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.65 inference(forward_demodulation,[],[f3762,f459])). 117.31/116.65 tff(f459,plain,( 117.31/116.65 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5) )), 117.31/116.65 inference(cnf_transformation,[],[f128])). 117.31/116.65 tff(f128,plain,( 117.31/116.65 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : square_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X5), 117.31/116.65 inference(rectify,[],[f2])). 117.31/116.65 tff(f2,axiom,( 117.31/116.65 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : square_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X9), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_offsets_def1)). 117.31/116.65 tff(f3762,plain,( 117.31/116.65 ( ! [X0:$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_22), 117.31/116.65 inference(resolution,[],[f1505,f409])). 117.31/116.65 tff(f409,plain,( 117.31/116.65 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) | ~valid_square1(X0,X1,X2)) )), 117.31/116.65 inference(cnf_transformation,[],[f200])). 117.31/116.65 tff(f200,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 inference(nnf_transformation,[],[f28])). 117.31/116.65 tff(f28,axiom,( 117.31/116.65 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0)) <=> valid_square1(X0,X1,X2))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_square_def)). 117.31/116.65 tff(f1505,plain,( 117.31/116.65 ( ! [X3:$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_22), 117.31/116.65 inference(resolution,[],[f637,f385])). 117.31/116.65 tff(f385,plain,( 117.31/116.65 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 117.31/116.65 inference(cnf_transformation,[],[f193])). 117.31/116.65 tff(f8180,plain,( 117.31/116.65 ~spl30_19 | spl30_1058 | ~spl30_963 | ~spl30_18 | ~spl30_22 | ~spl30_184 | ~spl30_186), 117.31/116.65 inference(avatar_split_clause,[],[f8176,f4348,f4363,f636,f2846,f8169,f8178,f602])). 117.31/116.65 tff(f8178,plain,( 117.31/116.65 spl30_1058 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1058])])). 117.31/116.65 tff(f8176,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8175,f4349])). 117.31/116.65 tff(f8175,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8174,f4364])). 117.31/116.65 tff(f8174,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8173,f4349])). 117.31/116.65 tff(f8173,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_184)), 117.31/116.65 inference(forward_demodulation,[],[f8135,f4364])). 117.31/116.65 tff(f8135,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3765,f2857])). 117.31/116.65 tff(f8172,plain,( 117.31/116.65 ~spl30_1051 | ~spl30_19 | ~spl30_22 | ~spl30_666), 117.31/116.65 inference(avatar_split_clause,[],[f8134,f3320,f636,f602,f8044])). 117.31/116.65 tff(f3320,plain,( 117.31/116.65 spl30_666 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_666])])). 117.31/116.65 tff(f8134,plain,( 117.31/116.65 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_22 | ~spl30_666)), 117.31/116.65 inference(resolution,[],[f3765,f3321])). 117.31/116.65 tff(f3321,plain,( 117.31/116.65 ( ! [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_666), 117.31/116.65 inference(avatar_component_clause,[],[f3320])). 117.31/116.65 tff(f8171,plain,( 117.31/116.65 spl30_1056 | ~spl30_963 | ~spl30_22 | ~spl30_184 | ~spl30_186), 117.31/116.65 inference(avatar_split_clause,[],[f8164,f4348,f4363,f636,f8169,f8166])). 117.31/116.65 tff(f8166,plain,( 117.31/116.65 spl30_1056 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~included1(X4,sK13) | ~is_index1(X3))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1056])])). 117.31/116.65 tff(f8164,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8163,f4349])). 117.31/116.65 tff(f8163,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8162,f4364])). 117.31/116.65 tff(f8162,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_184 | ~spl30_186)), 117.31/116.65 inference(forward_demodulation,[],[f8161,f4349])). 117.31/116.65 tff(f8161,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_184)), 117.31/116.65 inference(forward_demodulation,[],[f8139,f4364])). 117.31/116.65 tff(f8139,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22), 117.31/116.65 inference(duplicate_literal_removal,[],[f8133])). 117.31/116.65 tff(f8133,plain,( 117.31/116.65 ( ! [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_22), 117.31/116.65 inference(resolution,[],[f3765,f365])). 117.31/116.65 tff(f8140,plain,( 117.31/116.65 ~spl30_19 | spl30_11 | ~spl30_22), 117.31/116.65 inference(avatar_split_clause,[],[f8131,f636,f590,f602])). 117.31/116.65 tff(f590,plain,( 117.31/116.65 spl30_11 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 117.31/116.65 tff(f8131,plain,( 117.31/116.65 ~is_index1(sK14) | (~spl30_11 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3765,f591])). 117.31/116.65 tff(f591,plain,( 117.31/116.65 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_11), 117.31/116.65 inference(avatar_component_clause,[],[f590])). 117.31/116.65 tff(f8130,plain,( 117.31/116.65 spl30_1051), 117.31/116.65 inference(avatar_contradiction_clause,[],[f8129])). 117.31/116.65 tff(f8129,plain,( 117.31/116.65 $false | ~spl30_1051), 117.31/116.65 inference(trivial_inequality_removal,[],[f8128])). 117.31/116.65 tff(f8128,plain,( 117.31/116.65 tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) != tb2t1(get(int,int,t2tb(sK13),t2tb1(sK23(sK13,sK13)))) | ~spl30_1051), 117.31/116.65 inference(resolution,[],[f8045,f390])). 117.31/116.65 tff(f390,plain,( 117.31/116.65 ( ! [X0:map_int_int,X1:map_int_int] : (included1(X0,X1) | tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1))))) )), 117.31/116.65 inference(cnf_transformation,[],[f197])). 117.31/116.65 tff(f197,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | (tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1))))), 117.31/116.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f195,f196])). 117.31/116.65 tff(f196,plain,( 117.31/116.65 ! [X1 : map_int_int,X0 : map_int_int] : (? [X3 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1)) => (tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))) != tb2t1(get(int,int,t2tb(X1),t2tb1(sK23(X0,X1)))) & is_index1(sK23(X0,X1)) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK23(X0,X1)))),1)))), 117.31/116.65 introduced(choice_axiom,[])). 117.31/116.65 tff(f195,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | ? [X3 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X3))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X3))) & is_index1(X3) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X3)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X3))),1))))), 117.31/116.65 inference(rectify,[],[f194])). 117.31/116.65 tff(f194,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : ((! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) | ~included1(X0,X1)) & (included1(X0,X1) | ? [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) != tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) & is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1))))), 117.31/116.65 inference(nnf_transformation,[],[f142])). 117.31/116.65 tff(f142,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) <=> included1(X0,X1))), 117.31/116.65 inference(flattening,[],[f141])). 117.31/116.65 tff(f141,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | (~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1))) <=> included1(X0,X1))), 117.31/116.65 inference(ennf_transformation,[],[f98])). 117.31/116.65 tff(f98,plain,( 117.31/116.65 ! [X0 : map_int_int,X1 : map_int_int] : (! [X2 : $int] : ((is_index1(X2) & ~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1)) => tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))) <=> included1(X0,X1))), 117.31/116.65 inference(rectify,[],[f69])). 117.31/116.65 tff(f69,plain,( 117.31/116.65 ! [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))), 117.31/116.65 inference(evaluation,[],[f20])). 117.31/116.65 tff(f20,axiom,( 117.31/116.65 ! [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))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',included_def)). 117.31/116.65 tff(f8045,plain,( 117.31/116.65 ~included1(sK13,sK13) | ~spl30_1051), 117.31/116.65 inference(avatar_component_clause,[],[f8044])). 117.31/116.65 tff(f8098,plain,( 117.31/116.65 spl30_804 | ~spl30_16 | ~spl30_172 | ~spl30_174), 117.31/116.65 inference(avatar_split_clause,[],[f8094,f4285,f4300,f654,f8096])). 117.31/116.65 tff(f8096,plain,( 117.31/116.65 spl30_804 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_804])])). 117.31/116.65 tff(f654,plain,( 117.31/116.65 spl30_16 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 117.31/116.65 tff(f4300,plain,( 117.31/116.65 spl30_172 <=> 9 = sK6), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_172])])). 117.31/116.65 tff(f4285,plain,( 117.31/116.65 spl30_174 <=> 81 = sK4), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_174])])). 117.31/116.65 tff(f8094,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_16 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8093,f4286])). 117.31/116.65 tff(f4286,plain,( 117.31/116.65 81 = sK4 | ~spl30_174), 117.31/116.65 inference(avatar_component_clause,[],[f4285])). 117.31/116.65 tff(f8093,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_16 | ~spl30_172)), 117.31/116.65 inference(forward_demodulation,[],[f655,f4301])). 117.31/116.65 tff(f4301,plain,( 117.31/116.65 9 = sK6 | ~spl30_172), 117.31/116.65 inference(avatar_component_clause,[],[f4300])). 117.31/116.65 tff(f655,plain,( 117.31/116.65 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_16), 117.31/116.65 inference(avatar_component_clause,[],[f654])). 117.31/116.65 tff(f8062,plain,( 117.31/116.65 ~spl30_797 | spl30_1054 | ~spl30_835 | ~spl30_22 | ~spl30_172 | ~spl30_174 | ~spl30_796), 117.31/116.65 inference(avatar_split_clause,[],[f8058,f4312,f4285,f4300,f636,f8040,f8060,f4788])). 117.31/116.65 tff(f8060,plain,( 117.31/116.65 spl30_1054 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1054])])). 117.31/116.65 tff(f8040,plain,( 117.31/116.65 spl30_835 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_835])])). 117.31/116.65 tff(f8058,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_172 | ~spl30_174 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8057,f4286])). 117.31/116.65 tff(f8057,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_172 | ~spl30_174 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8056,f4301])). 117.31/116.65 tff(f8056,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_172 | ~spl30_174 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8055,f4286])). 117.31/116.65 tff(f8055,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_172 | ~spl30_796)), 117.31/116.65 inference(forward_demodulation,[],[f8007,f4301])). 117.31/116.65 tff(f8007,plain,( 117.31/116.65 ( ! [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_22 | ~spl30_796)), 117.31/116.65 inference(resolution,[],[f3758,f4321])). 117.31/116.65 tff(f3758,plain,( 117.31/116.65 ( ! [X0:$int] : (valid_chunk1(sK13,X0,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.65 inference(forward_demodulation,[],[f3757,f456])). 117.31/116.65 tff(f456,plain,( 117.31/116.65 ( ! [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) )), 117.31/116.65 inference(cnf_transformation,[],[f125])). 117.31/116.65 tff(f125,plain,( 117.31/116.65 ! [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), 117.31/116.65 inference(rectify,[],[f34])). 117.31/116.65 tff(f34,axiom,( 117.31/116.65 ! [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), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_start_def1)). 117.31/116.65 tff(f3757,plain,( 117.31/116.65 ( ! [X0:$int] : (valid_chunk1(sK13,X0,row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(X0)) ) | ~spl30_22), 117.31/116.65 inference(forward_demodulation,[],[f3755,f454])). 117.31/116.65 tff(f454,plain,( 117.31/116.65 ( ! [X4:array_int,X2:array_int,X0:array_int,X5:array_int,X3:array_int,X1:array_int] : (row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3) )), 117.31/116.65 inference(cnf_transformation,[],[f123])). 117.31/116.65 tff(f123,plain,( 117.31/116.65 ! [X0 : array_int,X1 : array_int,X2 : array_int,X3 : array_int,X4 : array_int,X5 : array_int] : row_offsets1(mk_sudoku_chunks1(X0,X1,X2,X3,X4,X5)) = X3), 117.31/116.65 inference(rectify,[],[f40])). 117.31/116.65 tff(f40,axiom,( 117.31/116.65 ! [X4 : array_int,X5 : array_int,X6 : array_int,X7 : array_int,X8 : array_int,X9 : array_int] : row_offsets1(mk_sudoku_chunks1(X4,X5,X6,X7,X8,X9)) = X7), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_offsets_def1)). 117.31/116.65 tff(f3755,plain,( 117.31/116.65 ( ! [X0:$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_22), 117.31/116.65 inference(resolution,[],[f1504,f407])). 117.31/116.65 tff(f407,plain,( 117.31/116.65 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) | ~valid_row1(X0,X1,X2)) )), 117.31/116.65 inference(cnf_transformation,[],[f199])). 117.31/116.65 tff(f199,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 inference(nnf_transformation,[],[f19])). 117.31/116.65 tff(f19,axiom,( 117.31/116.65 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : $int] : (valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0)) <=> valid_row1(X0,X1,X2))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_row_def)). 117.31/116.65 tff(f1504,plain,( 117.31/116.65 ( ! [X2:$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_22), 117.31/116.65 inference(resolution,[],[f637,f384])). 117.31/116.65 tff(f384,plain,( 117.31/116.65 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~is_index1(X2) | ~valid1(X0,X1)) )), 117.31/116.65 inference(cnf_transformation,[],[f193])). 117.31/116.65 tff(f8054,plain,( 117.31/116.65 ~spl30_19 | spl30_1052 | ~spl30_835 | ~spl30_18 | ~spl30_22 | ~spl30_172 | ~spl30_174), 117.31/116.65 inference(avatar_split_clause,[],[f8050,f4285,f4300,f636,f2846,f8040,f8052,f602])). 117.31/116.65 tff(f8052,plain,( 117.31/116.65 spl30_1052 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1052])])). 117.31/116.65 tff(f8050,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8049,f4286])). 117.31/116.65 tff(f8049,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8048,f4301])). 117.31/116.65 tff(f8048,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8047,f4286])). 117.31/116.65 tff(f8047,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22 | ~spl30_172)), 117.31/116.65 inference(forward_demodulation,[],[f8006,f4301])). 117.31/116.65 tff(f8006,plain,( 117.31/116.65 ( ! [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_18 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3758,f2857])). 117.31/116.65 tff(f8046,plain,( 117.31/116.65 ~spl30_1051 | ~spl30_19 | ~spl30_22 | ~spl30_664), 117.31/116.65 inference(avatar_split_clause,[],[f8005,f3315,f636,f602,f8044])). 117.31/116.65 tff(f3315,plain,( 117.31/116.65 spl30_664 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_664])])). 117.31/116.65 tff(f8005,plain,( 117.31/116.65 ~is_index1(sK14) | ~included1(sK13,sK13) | (~spl30_22 | ~spl30_664)), 117.31/116.65 inference(resolution,[],[f3758,f3316])). 117.31/116.65 tff(f3316,plain,( 117.31/116.65 ( ! [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_664), 117.31/116.65 inference(avatar_component_clause,[],[f3315])). 117.31/116.65 tff(f8042,plain,( 117.31/116.65 spl30_1048 | ~spl30_835 | ~spl30_22 | ~spl30_172 | ~spl30_174), 117.31/116.65 inference(avatar_split_clause,[],[f8035,f4285,f4300,f636,f8040,f8037])). 117.31/116.65 tff(f8037,plain,( 117.31/116.65 spl30_1048 <=> ! [X3 : $int,X4 : map_int_int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~included1(X4,sK13) | ~is_index1(X3))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1048])])). 117.31/116.65 tff(f8035,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8034,f4286])). 117.31/116.65 tff(f8034,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | valid_chunk1(X4,X3,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8033,f4301])). 117.31/116.65 tff(f8033,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22 | ~spl30_172 | ~spl30_174)), 117.31/116.65 inference(forward_demodulation,[],[f8032,f4286])). 117.31/116.65 tff(f8032,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$int] : (valid_chunk1(X4,X3,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | ~is_index1(X3) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~included1(X4,sK13)) ) | (~spl30_22 | ~spl30_172)), 117.31/116.65 inference(forward_demodulation,[],[f8010,f4301])). 117.31/116.65 tff(f8010,plain,( 117.31/116.65 ( ! [X4:map_int_int,X3:$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_22), 117.31/116.65 inference(duplicate_literal_removal,[],[f8004])). 117.31/116.65 tff(f8004,plain,( 117.31/116.65 ( ! [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_22), 117.31/116.65 inference(resolution,[],[f3758,f365])). 117.31/116.65 tff(f8011,plain,( 117.31/116.65 ~spl30_19 | spl30_17 | ~spl30_22), 117.31/116.65 inference(avatar_split_clause,[],[f8002,f636,f599,f602])). 117.31/116.65 tff(f599,plain,( 117.31/116.65 spl30_17 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 117.31/116.65 tff(f8002,plain,( 117.31/116.65 ~is_index1(sK14) | (~spl30_17 | ~spl30_22)), 117.31/116.65 inference(resolution,[],[f3758,f600])). 117.31/116.65 tff(f600,plain,( 117.31/116.65 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_17), 117.31/116.65 inference(avatar_component_clause,[],[f599])). 117.31/116.65 tff(f7909,plain,( 117.31/116.65 ~spl30_797 | spl30_1046 | ~spl30_796), 117.31/116.65 inference(avatar_split_clause,[],[f7905,f4312,f7907,f4788])). 117.31/116.65 tff(f7907,plain,( 117.31/116.65 spl30_1046 <=> ! [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))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1046])])). 117.31/116.65 tff(f7905,plain,( 117.31/116.65 ( ! [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_796), 117.31/116.65 inference(duplicate_literal_removal,[],[f7891])). 117.31/116.65 tff(f7891,plain,( 117.31/116.65 ( ! [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_796), 117.31/116.65 inference(resolution,[],[f4321,f365])). 117.31/116.65 tff(f7890,plain,( 117.31/116.65 spl30_1044 | ~spl30_172 | ~spl30_174 | ~spl30_722), 117.31/116.65 inference(avatar_split_clause,[],[f7889,f3586,f4285,f4300,f7886])). 117.31/116.65 tff(f7886,plain,( 117.31/116.65 spl30_1044 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1044])])). 117.31/116.65 tff(f3586,plain,( 117.31/116.65 spl30_722 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_722])])). 117.31/116.65 tff(f7889,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_174 | ~spl30_722)), 117.31/116.65 inference(forward_demodulation,[],[f7847,f4286])). 117.31/116.65 tff(f7847,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_722)), 117.31/116.65 inference(superposition,[],[f3587,f4301])). 117.31/116.65 tff(f3587,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_722), 117.31/116.65 inference(avatar_component_clause,[],[f3586])). 117.31/116.65 tff(f7888,plain,( 117.31/116.65 spl30_1044 | ~spl30_172 | ~spl30_174 | ~spl30_722), 117.31/116.65 inference(avatar_split_clause,[],[f7884,f3586,f4285,f4300,f7886])). 117.31/116.65 tff(f7884,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_174 | ~spl30_722)), 117.31/116.65 inference(forward_demodulation,[],[f7846,f4301])). 117.31/116.65 tff(f7846,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_174 | ~spl30_722)), 117.31/116.65 inference(superposition,[],[f3587,f4286])). 117.31/116.65 tff(f7857,plain,( 117.31/116.65 spl30_1042 | ~spl30_172 | ~spl30_174 | ~spl30_722), 117.31/116.65 inference(avatar_split_clause,[],[f7853,f3586,f4285,f4300,f7855])). 117.31/116.65 tff(f7855,plain,( 117.31/116.65 spl30_1042 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1042])])). 117.31/116.65 tff(f7853,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_172 | ~spl30_174 | ~spl30_722)), 117.31/116.65 inference(forward_demodulation,[],[f7852,f4286])). 117.31/116.65 tff(f7852,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_172 | ~spl30_722)), 117.31/116.65 inference(forward_demodulation,[],[f7835,f4301])). 117.31/116.65 tff(f7835,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_722), 117.31/116.65 inference(resolution,[],[f3587,f357])). 117.31/116.65 tff(f357,plain,( 117.31/116.65 ( ! [X0:$int] : ($less(X0,81) | ~is_index1(X0)) )), 117.31/116.65 inference(cnf_transformation,[],[f175])). 117.31/116.65 tff(f175,plain,( 117.31/116.65 ! [X0 : $int] : (((~$less(X0,0) & $less(X0,81)) | ~is_index1(X0)) & (is_index1(X0) | $less(X0,0) | ~$less(X0,81)))), 117.31/116.65 inference(flattening,[],[f174])). 117.31/116.65 tff(f174,plain,( 117.31/116.65 ! [X0 : $int] : (((~$less(X0,0) & $less(X0,81)) | ~is_index1(X0)) & (is_index1(X0) | ($less(X0,0) | ~$less(X0,81))))), 117.31/116.65 inference(nnf_transformation,[],[f91])). 117.31/116.65 tff(f91,plain,( 117.31/116.65 ! [X0 : $int] : ((~$less(X0,0) & $less(X0,81)) <=> is_index1(X0))), 117.31/116.65 inference(rectify,[],[f65])). 117.31/116.65 tff(f65,plain,( 117.31/116.65 ! [X2 : $int] : ((~$less(X2,0) & $less(X2,81)) <=> is_index1(X2))), 117.31/116.65 inference(evaluation,[],[f38])). 117.31/116.65 tff(f38,axiom,( 117.31/116.65 ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,81)) <=> is_index1(X2))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_index_def)). 117.31/116.65 tff(f7832,plain,( 117.31/116.65 spl30_1040 | ~spl30_172 | ~spl30_174 | ~spl30_712), 117.31/116.65 inference(avatar_split_clause,[],[f7831,f3553,f4285,f4300,f7828])). 117.31/116.65 tff(f7828,plain,( 117.31/116.65 spl30_1040 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1040])])). 117.31/116.65 tff(f3553,plain,( 117.31/116.65 spl30_712 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_712])])). 117.31/116.65 tff(f7831,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_174 | ~spl30_712)), 117.31/116.65 inference(forward_demodulation,[],[f7789,f4286])). 117.31/116.65 tff(f7789,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_712)), 117.31/116.65 inference(superposition,[],[f3554,f4301])). 117.31/116.65 tff(f3554,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_712), 117.31/116.65 inference(avatar_component_clause,[],[f3553])). 117.31/116.65 tff(f7830,plain,( 117.31/116.65 spl30_1040 | ~spl30_172 | ~spl30_174 | ~spl30_712), 117.31/116.65 inference(avatar_split_clause,[],[f7826,f3553,f4285,f4300,f7828])). 117.31/116.65 tff(f7826,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_172 | ~spl30_174 | ~spl30_712)), 117.31/116.65 inference(forward_demodulation,[],[f7788,f4301])). 117.31/116.65 tff(f7788,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | (~spl30_174 | ~spl30_712)), 117.31/116.65 inference(superposition,[],[f3554,f4286])). 117.31/116.65 tff(f7799,plain,( 117.31/116.65 spl30_1038 | ~spl30_172 | ~spl30_174 | ~spl30_712), 117.31/116.65 inference(avatar_split_clause,[],[f7795,f3553,f4285,f4300,f7797])). 117.31/116.65 tff(f7797,plain,( 117.31/116.65 spl30_1038 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1038])])). 117.31/116.65 tff(f7795,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_172 | ~spl30_174 | ~spl30_712)), 117.31/116.65 inference(forward_demodulation,[],[f7794,f4286])). 117.31/116.65 tff(f7794,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),81) | (~spl30_172 | ~spl30_712)), 117.31/116.65 inference(forward_demodulation,[],[f7777,f4301])). 117.31/116.65 tff(f7777,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81) | ~spl30_712), 117.31/116.65 inference(resolution,[],[f3554,f357])). 117.31/116.65 tff(f7774,plain,( 117.31/116.65 spl30_1036 | ~spl30_184 | ~spl30_186 | ~spl30_702), 117.31/116.65 inference(avatar_split_clause,[],[f7773,f3520,f4348,f4363,f7770])). 117.31/116.65 tff(f7770,plain,( 117.31/116.65 spl30_1036 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1036])])). 117.31/116.65 tff(f3520,plain,( 117.31/116.65 spl30_702 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_702])])). 117.31/116.65 tff(f7773,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_186 | ~spl30_702)), 117.31/116.65 inference(forward_demodulation,[],[f7731,f4349])). 117.31/116.65 tff(f7731,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_702)), 117.31/116.65 inference(superposition,[],[f3521,f4364])). 117.31/116.65 tff(f3521,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_702), 117.31/116.65 inference(avatar_component_clause,[],[f3520])). 117.31/116.65 tff(f7772,plain,( 117.31/116.65 spl30_1036 | ~spl30_184 | ~spl30_186 | ~spl30_702), 117.31/116.65 inference(avatar_split_clause,[],[f7768,f3520,f4348,f4363,f7770])). 117.31/116.65 tff(f7768,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_186 | ~spl30_702)), 117.31/116.65 inference(forward_demodulation,[],[f7730,f4364])). 117.31/116.65 tff(f7730,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_186 | ~spl30_702)), 117.31/116.65 inference(superposition,[],[f3521,f4349])). 117.31/116.65 tff(f7741,plain,( 117.31/116.65 spl30_1034 | ~spl30_184 | ~spl30_186 | ~spl30_702), 117.31/116.65 inference(avatar_split_clause,[],[f7737,f3520,f4348,f4363,f7739])). 117.31/116.65 tff(f7739,plain,( 117.31/116.65 spl30_1034 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1034])])). 117.31/116.65 tff(f7737,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_184 | ~spl30_186 | ~spl30_702)), 117.31/116.65 inference(forward_demodulation,[],[f7736,f4349])). 117.31/116.65 tff(f7736,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_184 | ~spl30_702)), 117.31/116.65 inference(forward_demodulation,[],[f7719,f4364])). 117.31/116.65 tff(f7719,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_702), 117.31/116.65 inference(resolution,[],[f3521,f357])). 117.31/116.65 tff(f7715,plain,( 117.31/116.65 spl30_1032 | ~spl30_184 | ~spl30_186 | ~spl30_692), 117.31/116.65 inference(avatar_split_clause,[],[f7714,f3485,f4348,f4363,f7711])). 117.31/116.65 tff(f7711,plain,( 117.31/116.65 spl30_1032 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1032])])). 117.31/116.65 tff(f3485,plain,( 117.31/116.65 spl30_692 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_692])])). 117.31/116.65 tff(f7714,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_186 | ~spl30_692)), 117.31/116.65 inference(forward_demodulation,[],[f7672,f4349])). 117.31/116.65 tff(f7672,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_692)), 117.31/116.65 inference(superposition,[],[f3486,f4364])). 117.31/116.65 tff(f3486,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_692), 117.31/116.65 inference(avatar_component_clause,[],[f3485])). 117.31/116.65 tff(f7713,plain,( 117.31/116.65 spl30_1032 | ~spl30_184 | ~spl30_186 | ~spl30_692), 117.31/116.65 inference(avatar_split_clause,[],[f7709,f3485,f4348,f4363,f7711])). 117.31/116.65 tff(f7709,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_184 | ~spl30_186 | ~spl30_692)), 117.31/116.65 inference(forward_demodulation,[],[f7671,f4364])). 117.31/116.65 tff(f7671,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | (~spl30_186 | ~spl30_692)), 117.31/116.65 inference(superposition,[],[f3486,f4349])). 117.31/116.65 tff(f7682,plain,( 117.31/116.65 spl30_1030 | ~spl30_184 | ~spl30_186 | ~spl30_692), 117.31/116.65 inference(avatar_split_clause,[],[f7678,f3485,f4348,f4363,f7680])). 117.31/116.65 tff(f7680,plain,( 117.31/116.65 spl30_1030 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1030])])). 117.31/116.65 tff(f7678,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_184 | ~spl30_186 | ~spl30_692)), 117.31/116.65 inference(forward_demodulation,[],[f7677,f4349])). 117.31/116.65 tff(f7677,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | (~spl30_184 | ~spl30_692)), 117.31/116.65 inference(forward_demodulation,[],[f7660,f4364])). 117.31/116.65 tff(f7660,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81) | ~spl30_692), 117.31/116.65 inference(resolution,[],[f3486,f357])). 117.31/116.65 tff(f7657,plain,( 117.31/116.65 spl30_1028 | ~spl30_160 | ~spl30_162 | ~spl30_682), 117.31/116.65 inference(avatar_split_clause,[],[f7656,f3452,f4379,f4674,f7653])). 117.31/116.65 tff(f7653,plain,( 117.31/116.65 spl30_1028 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1028])])). 117.31/116.65 tff(f3452,plain,( 117.31/116.65 spl30_682 <=> is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_682])])). 117.31/116.65 tff(f7656,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_162 | ~spl30_682)), 117.31/116.65 inference(forward_demodulation,[],[f7614,f4380])). 117.31/116.65 tff(f7614,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_682)), 117.31/116.65 inference(superposition,[],[f3453,f4675])). 117.31/116.65 tff(f3453,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_682), 117.31/116.65 inference(avatar_component_clause,[],[f3452])). 117.31/116.65 tff(f7655,plain,( 117.31/116.65 spl30_1028 | ~spl30_160 | ~spl30_162 | ~spl30_682), 117.31/116.65 inference(avatar_split_clause,[],[f7651,f3452,f4379,f4674,f7653])). 117.31/116.65 tff(f7651,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_162 | ~spl30_682)), 117.31/116.65 inference(forward_demodulation,[],[f7613,f4675])). 117.31/116.65 tff(f7613,plain,( 117.31/116.65 is_index1(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_162 | ~spl30_682)), 117.31/116.65 inference(superposition,[],[f3453,f4380])). 117.31/116.65 tff(f7624,plain,( 117.31/116.65 spl30_1026 | ~spl30_160 | ~spl30_162 | ~spl30_682), 117.31/116.65 inference(avatar_split_clause,[],[f7620,f3452,f4379,f4674,f7622])). 117.31/116.65 tff(f7622,plain,( 117.31/116.65 spl30_1026 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1026])])). 117.31/116.65 tff(f7620,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_160 | ~spl30_162 | ~spl30_682)), 117.31/116.65 inference(forward_demodulation,[],[f7619,f4380])). 117.31/116.65 tff(f7619,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_160 | ~spl30_682)), 117.31/116.65 inference(forward_demodulation,[],[f7602,f4675])). 117.31/116.65 tff(f7602,plain,( 117.31/116.65 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_682), 117.31/116.65 inference(resolution,[],[f3453,f357])). 117.31/116.65 tff(f7599,plain,( 117.31/116.65 spl30_1024 | ~spl30_160 | ~spl30_162 | ~spl30_672), 117.31/116.65 inference(avatar_split_clause,[],[f7598,f3419,f4379,f4674,f7595])). 117.31/116.65 tff(f7595,plain,( 117.31/116.65 spl30_1024 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1024])])). 117.31/116.65 tff(f3419,plain,( 117.31/116.65 spl30_672 <=> is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_672])])). 117.31/116.65 tff(f7598,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_162 | ~spl30_672)), 117.31/116.65 inference(forward_demodulation,[],[f7556,f4380])). 117.31/116.65 tff(f7556,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_672)), 117.31/116.65 inference(superposition,[],[f3420,f4675])). 117.31/116.65 tff(f3420,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_672), 117.31/116.65 inference(avatar_component_clause,[],[f3419])). 117.31/116.65 tff(f7597,plain,( 117.31/116.65 spl30_1024 | ~spl30_160 | ~spl30_162 | ~spl30_672), 117.31/116.65 inference(avatar_split_clause,[],[f7593,f3419,f4379,f4674,f7595])). 117.31/116.65 tff(f7593,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_160 | ~spl30_162 | ~spl30_672)), 117.31/116.65 inference(forward_demodulation,[],[f7555,f4675])). 117.31/116.65 tff(f7555,plain,( 117.31/116.65 is_index1(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | (~spl30_162 | ~spl30_672)), 117.31/116.65 inference(superposition,[],[f3420,f4380])). 117.31/116.65 tff(f7566,plain,( 117.31/116.65 spl30_1022 | ~spl30_160 | ~spl30_162 | ~spl30_672), 117.31/116.65 inference(avatar_split_clause,[],[f7562,f3419,f4379,f4674,f7564])). 117.31/116.65 tff(f7564,plain,( 117.31/116.65 spl30_1022 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1022])])). 117.31/116.65 tff(f7562,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_160 | ~spl30_162 | ~spl30_672)), 117.31/116.65 inference(forward_demodulation,[],[f7561,f4380])). 117.31/116.65 tff(f7561,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),81) | (~spl30_160 | ~spl30_672)), 117.31/116.65 inference(forward_demodulation,[],[f7544,f4675])). 117.31/116.65 tff(f7544,plain,( 117.31/116.65 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81) | ~spl30_672), 117.31/116.65 inference(resolution,[],[f3420,f357])). 117.31/116.65 tff(f7541,plain,( 117.31/116.65 ~spl30_19 | spl30_1020 | ~spl30_18), 117.31/116.65 inference(avatar_split_clause,[],[f7537,f2846,f7539,f602])). 117.31/116.65 tff(f7539,plain,( 117.31/116.65 spl30_1020 <=> ! [X1 : array_int,X3 : map_int_int,X0 : map_int_int,X2 : array_int,X4 : map_int_int] : (valid_chunk1(X0,sK14,X1,X2) | ~included1(X3,X4) | ~valid_chunk1(X4,sK14,X1,X2) | ~included1(X0,X3) | ~chunk_valid_indexes1(X1,X2))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1020])])). 117.31/116.65 tff(f7537,plain,( 117.31/116.65 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,sK14,X1,X2) | ~is_index1(sK14) | ~included1(X3,X4)) ) | ~spl30_18), 117.31/116.65 inference(duplicate_literal_removal,[],[f7523])). 117.31/116.65 tff(f7523,plain,( 117.31/116.65 ( ! [X4:map_int_int,X2:array_int,X0:map_int_int,X3:map_int_int,X1:array_int] : (valid_chunk1(X0,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~included1(X0,X3) | ~valid_chunk1(X4,sK14,X1,X2) | ~chunk_valid_indexes1(X1,X2) | ~is_index1(sK14) | ~included1(X3,X4)) ) | ~spl30_18), 117.31/116.65 inference(resolution,[],[f2857,f365])). 117.31/116.65 tff(f7505,plain,( 117.31/116.65 ~spl30_941 | spl30_1018 | spl30_1005), 117.31/116.65 inference(avatar_split_clause,[],[f7469,f7453,f7503,f7480])). 117.31/116.65 tff(f7480,plain,( 117.31/116.65 spl30_941 <=> ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_941])])). 117.31/116.65 tff(f7503,plain,( 117.31/116.65 spl30_1018 <=> ! [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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))) | ~disjoint_chunks1(X42,X44) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | ~is_index1(X43))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1018])])). 117.31/116.65 tff(f7453,plain,( 117.31/116.65 spl30_1005 <=> ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1005])])). 117.31/116.65 tff(f7469,plain,( 117.31/116.65 ( ! [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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))) | ~is_index1(X43) | ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | ~is_index1($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | ~disjoint_chunks1(X42,X44)) ) | ~spl30_1005), 117.31/116.65 inference(resolution,[],[f7454,f461])). 117.31/116.65 tff(f461,plain,( 117.31/116.65 ( ! [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)) )), 117.31/116.65 inference(equality_resolution,[],[f381])). 117.31/116.65 tff(f381,plain,( 117.31/116.65 ( ! [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)) )), 117.31/116.65 inference(cnf_transformation,[],[f189])). 117.31/116.65 tff(f189,plain,( 117.31/116.65 ! [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) | $less(X4,0) | ~is_index1(X2)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~disjoint_chunks1(X0,X1)) & (disjoint_chunks1(X0,X1) | ($sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1)))) = sK19(X0,X1) & tb2t1(get2(int,t2tb2(X0),sK19(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))) & is_index1(sK20(X0,X1)) & $less(sK21(X0,X1),9) & ~$less(sK21(X0,X1),0) & is_index1(sK19(X0,X1))) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81))), 117.31/116.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f187,f188])). 117.31/116.65 tff(f188,plain,( 117.31/116.65 ! [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),X5)) != tb2t1(get2(int,t2tb2(X0),X6)) & is_index1(X6) & $less(X7,9) & ~$less(X7,0) & is_index1(X5)) => ($sum(tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))),tb2t1(get2(int,t2tb2(X1),sK21(X0,X1)))) = sK19(X0,X1) & tb2t1(get2(int,t2tb2(X0),sK19(X0,X1))) != tb2t1(get2(int,t2tb2(X0),sK20(X0,X1))) & is_index1(sK20(X0,X1)) & $less(sK21(X0,X1),9) & ~$less(sK21(X0,X1),0) & is_index1(sK19(X0,X1))))), 117.31/116.65 introduced(choice_axiom,[])). 117.31/116.65 tff(f187,plain,( 117.31/116.65 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~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),X5)) != tb2t1(get2(int,t2tb2(X0),X6)) & is_index1(X6) & $less(X7,9) & ~$less(X7,0) & is_index1(X5)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81))), 117.31/116.65 inference(rectify,[],[f186])). 117.31/116.65 tff(f186,plain,( 117.31/116.65 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81))), 117.31/116.65 inference(flattening,[],[f185])). 117.31/116.65 tff(f185,plain,( 117.31/116.65 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81)))), 117.31/116.65 inference(nnf_transformation,[],[f139])). 117.31/116.65 tff(f139,plain,( 117.31/116.65 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) <=> disjoint_chunks1(X0,X1))), 117.31/116.65 inference(flattening,[],[f138])). 117.31/116.65 tff(f138,plain,( 117.31/116.65 ! [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))) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) <=> disjoint_chunks1(X0,X1))), 117.31/116.65 inference(ennf_transformation,[],[f97])). 117.31/116.65 tff(f97,plain,( 117.31/116.65 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) <=> disjoint_chunks1(X0,X1))), 117.31/116.65 inference(rectify,[],[f68])). 117.31/116.65 tff(f68,plain,( 117.31/116.65 ! [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),X12)) != tb2t1(get2(int,t2tb2(X10),X13)) => $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))), 117.31/116.65 inference(evaluation,[],[f3])). 117.31/116.65 tff(f3,axiom,( 117.31/116.65 ! [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),X12)) != tb2t1(get2(int,t2tb2(X10),X13)) => $sum(tb2t1(get2(int,t2tb2(X10),X13)),tb2t1(get2(int,t2tb2(X11),X14))) != X12)) & length1(int,t2tb2(X11)) = 9 & length1(int,t2tb2(X10)) = 81) <=> disjoint_chunks1(X10,X11))), 117.31/116.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_chunks_def)). 117.31/116.65 tff(f7454,plain,( 117.31/116.65 ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | ~spl30_1005), 117.31/116.65 inference(avatar_component_clause,[],[f7453])). 117.31/116.65 tff(f7501,plain,( 117.31/116.65 ~spl30_941 | spl30_1016 | spl30_1005), 117.31/116.65 inference(avatar_split_clause,[],[f7466,f7453,f7498,f7480])). 117.31/116.65 tff(f7498,plain,( 117.31/116.65 spl30_1016 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | ~valid_chunk1(X20,X22,X21,X23) | sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) = X24 | ~$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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1))), 117.31/116.65 introduced(avatar_definition,[new_symbols(naming,[spl30_1016])])). 117.31/116.65 tff(f7466,plain,( 117.31/116.65 ( ! [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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1) | $less(X29,0) | ~$less(X29,9) | ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_1005), 117.31/116.65 inference(resolution,[],[f7454,f440])). 117.31/116.65 tff(f440,plain,( 117.31/116.65 ( ! [X4:$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)) )), 117.31/116.65 inference(cnf_transformation,[],[f214])). 117.31/116.65 tff(f214,plain,( 117.31/116.65 ! [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))))), 117.31/116.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f212,f213])). 117.31/116.65 tff(f213,plain,( 117.31/116.65 ! [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)))), 117.31/116.65 introduced(choice_axiom,[])). 117.31/116.65 tff(f212,plain,( 117.31/116.65 ! [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)))), 117.31/116.65 inference(rectify,[],[f211])). 117.31/116.65 tff(f211,plain,( 117.31/116.65 ! [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)))), 117.31/116.65 inference(nnf_transformation,[],[f158])). 117.31/116.66 tff(f158,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(flattening,[],[f157])). 117.31/116.66 tff(f157,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(ennf_transformation,[],[f119])). 117.31/116.66 tff(f119,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(rectify,[],[f74])). 117.31/116.66 tff(f74,plain,( 117.31/116.66 ! [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),X38)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) <=> valid_chunk1(X1,X2,X10,X11))), 117.31/116.66 inference(evaluation,[],[f57])). 117.31/116.66 tff(f57,axiom,( 117.31/116.66 ! [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($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) <=> valid_chunk1(X1,X2,X10,X11))), 117.31/116.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_chunk_def)). 117.31/116.66 tff(f7500,plain,( 117.31/116.66 ~spl30_941 | spl30_1016 | spl30_1005), 117.31/116.66 inference(avatar_split_clause,[],[f7465,f7453,f7498,f7480])). 117.31/116.66 tff(f7465,plain,( 117.31/116.66 ( ! [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),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | $less(tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | $less(9,tb2t1(get(int,int,t2tb(X20),t2tb1($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(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | $less(X24,0) | ~$less(X24,9) | sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) = X24 | ~valid_chunk1(X20,X22,X21,X23)) ) | ~spl30_1005), 117.31/116.66 inference(resolution,[],[f7454,f440])). 117.31/116.66 tff(f7496,plain,( 117.31/116.66 spl30_1010 | spl30_1014 | spl30_1005), 117.31/116.66 inference(avatar_split_clause,[],[f7464,f7453,f7494,f7487])). 117.31/116.66 tff(f7487,plain,( 117.31/116.66 spl30_1010 <=> $less(81,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1010])])). 117.31/116.66 tff(f7494,plain,( 117.31/116.66 spl30_1014 <=> ! [X18 : map_int_int,X17 : map_int_int,X19 : $int] : (grid_eq_sub1(X17,X18,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),X19) | $less(81,X19) | ~grid_eq_sub1(X17,X18,0,81) | $less(X19,0))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1014])])). 117.31/116.66 tff(f7464,plain,( 117.31/116.66 ( ! [X19:$int,X17:map_int_int,X18:map_int_int] : (grid_eq_sub1(X17,X18,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),X19) | $less(X19,0) | ~grid_eq_sub1(X17,X18,0,81) | $less(81,X19) | $less(81,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))) ) | ~spl30_1005), 117.31/116.66 inference(resolution,[],[f7454,f425])). 117.31/116.66 tff(f425,plain,( 117.31/116.66 ( ! [X2:$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)) )), 117.31/116.66 inference(cnf_transformation,[],[f154])). 117.31/116.66 tff(f154,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(flattening,[],[f153])). 117.31/116.66 tff(f153,plain,( 117.31/116.66 ! [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)))), 117.31/116.66 inference(ennf_transformation,[],[f117])). 117.31/116.66 tff(f117,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(rectify,[],[f72])). 117.31/116.66 tff(f72,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(evaluation,[],[f26])). 117.31/116.66 tff(f26,axiom,( 117.31/116.66 ! [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))), 117.31/116.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grid_eq_sub)). 117.31/116.66 tff(f7492,plain,( 117.31/116.66 spl30_1010 | spl30_1012 | spl30_1005), 117.31/116.66 inference(avatar_split_clause,[],[f7463,f7453,f7490,f7487])). 117.31/116.66 tff(f7490,plain,( 117.31/116.66 spl30_1012 <=> ! [X16 : $int,X15 : map_int_int,X14 : map_int_int] : (grid_eq_sub1(X14,X15,X16,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | $less(81,X16) | ~grid_eq_sub1(X14,X15,0,81) | $less(X16,0))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1012])])). 117.31/116.66 tff(f7463,plain,( 117.31/116.66 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | $less(81,X16)) ) | ~spl30_1005), 117.31/116.66 inference(resolution,[],[f7454,f425])). 117.31/116.66 tff(f7485,plain,( 117.31/116.66 ~spl30_941 | spl30_1008 | spl30_1005), 117.31/116.66 inference(avatar_split_clause,[],[f7458,f7453,f7483,f7480])). 117.31/116.66 tff(f7483,plain,( 117.31/116.66 spl30_1008 <=> ! [X1 : $int,X0 : array_int,X2 : array_int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1008])])). 117.31/116.66 tff(f7458,plain,( 117.31/116.66 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))) | ~is_index1(X1) | ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_1005), 117.31/116.66 inference(resolution,[],[f7454,f368])). 117.31/116.66 tff(f368,plain,( 117.31/116.66 ( ! [X4:$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) | $less(X5,0) | ~chunk_valid_indexes1(X0,X1)) )), 117.31/116.66 inference(cnf_transformation,[],[f184])). 117.31/116.66 tff(f184,plain,( 117.31/116.66 ! [X0 : array_int,X1 : array_int] : ((chunk_valid_indexes1(X0,X1) | (~is_index1($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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) & ((! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~chunk_valid_indexes1(X0,X1)))), 117.31/116.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f182,f183])). 117.31/116.66 tff(f183,plain,( 117.31/116.66 ! [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)))), 117.31/116.66 introduced(choice_axiom,[])). 117.31/116.66 tff(f182,plain,( 117.31/116.66 ! [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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) & ((! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~chunk_valid_indexes1(X0,X1)))), 117.31/116.66 inference(rectify,[],[f181])). 117.31/116.66 tff(f181,plain,( 117.31/116.66 ! [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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) & ((! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~chunk_valid_indexes1(X0,X1)))), 117.31/116.66 inference(flattening,[],[f180])). 117.31/116.66 tff(f180,plain,( 117.31/116.66 ! [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)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81)) & ((! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81) | ~chunk_valid_indexes1(X0,X1)))), 117.31/116.66 inference(nnf_transformation,[],[f137])). 117.31/116.66 tff(f137,plain,( 117.31/116.66 ! [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)) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81))), 117.31/116.66 inference(flattening,[],[f136])). 117.31/116.66 tff(f136,plain,( 117.31/116.66 ! [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))) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81))), 117.31/116.66 inference(ennf_transformation,[],[f96])). 117.31/116.66 tff(f96,plain,( 117.31/116.66 ! [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))))) & length1(int,t2tb2(X1)) = 9 & length1(int,t2tb2(X0)) = 81))), 117.31/116.66 inference(rectify,[],[f67])). 117.31/116.66 tff(f67,plain,( 117.31/116.66 ! [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))), 117.31/116.66 inference(evaluation,[],[f23])). 117.31/116.66 tff(f23,axiom,( 117.31/116.66 ! [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))), 117.31/116.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chunk_valid_indexes_def)). 117.31/116.66 tff(f7478,plain,( 117.31/116.66 ~spl30_1007 | spl30_1002 | spl30_1005), 117.31/116.66 inference(avatar_split_clause,[],[f7457,f7453,f7476,f7473])). 117.31/116.66 tff(f7473,plain,( 117.31/116.66 spl30_1007 <=> ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1007])])). 117.31/116.66 tff(f7476,plain,( 117.31/116.66 spl30_1002 <=> is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1002])])). 117.31/116.66 tff(f7457,plain,( 117.31/116.66 is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),81) | ~spl30_1005), 117.31/116.66 inference(resolution,[],[f7454,f356])). 117.31/116.66 tff(f356,plain,( 117.31/116.66 ( ! [X0:$int] : (is_index1(X0) | $less(X0,0) | ~$less(X0,81)) )), 117.31/116.66 inference(cnf_transformation,[],[f175])). 117.31/116.66 tff(f7455,plain,( 117.31/116.66 ~spl30_1005 | spl30_183 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f7451,f4348,f4363,f1173,f7453])). 117.31/116.66 tff(f1173,plain,( 117.31/116.66 spl30_183 <=> ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_183])])). 117.31/116.66 tff(f7451,plain,( 117.31/116.66 ~$less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_183 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f7450,f4349])). 117.31/116.66 tff(f7450,plain,( 117.31/116.66 ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_183 | ~spl30_184)), 117.31/116.66 inference(forward_demodulation,[],[f1174,f4364])). 117.31/116.66 tff(f1174,plain,( 117.31/116.66 ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_183), 117.31/116.66 inference(avatar_component_clause,[],[f1173])). 117.31/116.66 tff(f7449,plain,( 117.31/116.66 spl30_1004 | ~spl30_182 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f7448,f4348,f4363,f2183,f7445])). 117.31/116.66 tff(f7445,plain,( 117.31/116.66 spl30_1004 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1004])])). 117.31/116.66 tff(f2183,plain,( 117.31/116.66 spl30_182 <=> $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_182])])). 117.31/116.66 tff(f7448,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_182 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f7432,f4349])). 117.31/116.66 tff(f7432,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_182 | ~spl30_184)), 117.31/116.66 inference(superposition,[],[f2184,f4364])). 117.31/116.66 tff(f2184,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_182), 117.31/116.66 inference(avatar_component_clause,[],[f2183])). 117.31/116.66 tff(f7447,plain,( 117.31/116.66 spl30_1004 | ~spl30_182 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f7443,f4348,f4363,f2183,f7445])). 117.31/116.66 tff(f7443,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_182 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f7431,f4364])). 117.31/116.66 tff(f7431,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_182 | ~spl30_186)), 117.31/116.66 inference(superposition,[],[f2184,f4349])). 117.31/116.66 tff(f7438,plain,( 117.31/116.66 ~spl30_1003 | ~spl30_182 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f7434,f4348,f4363,f2183,f7436])). 117.31/116.66 tff(f7436,plain,( 117.31/116.66 spl30_1003 <=> ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1003])])). 117.31/116.66 tff(f7434,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_182 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f7433,f4349])). 117.31/116.66 tff(f7433,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))) | (~spl30_182 | ~spl30_184)), 117.31/116.66 inference(forward_demodulation,[],[f7424,f4364])). 117.31/116.66 tff(f7424,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_182), 117.31/116.66 inference(resolution,[],[f2184,f358])). 117.31/116.66 tff(f358,plain,( 117.31/116.66 ( ! [X0:$int] : (~$less(X0,0) | ~is_index1(X0)) )), 117.31/116.66 inference(cnf_transformation,[],[f175])). 117.31/116.66 tff(f7422,plain,( 117.31/116.66 spl30_1000 | ~spl30_170 | ~spl30_172 | ~spl30_174), 117.31/116.66 inference(avatar_split_clause,[],[f7421,f4285,f4300,f2140,f7418])). 117.31/116.66 tff(f7418,plain,( 117.31/116.66 spl30_1000 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_1000])])). 117.31/116.66 tff(f2140,plain,( 117.31/116.66 spl30_170 <=> $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_170])])). 117.31/116.66 tff(f7421,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_170 | ~spl30_172 | ~spl30_174)), 117.31/116.66 inference(forward_demodulation,[],[f7405,f4286])). 117.31/116.66 tff(f7405,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_170 | ~spl30_172)), 117.31/116.66 inference(superposition,[],[f2141,f4301])). 117.31/116.66 tff(f2141,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_170), 117.31/116.66 inference(avatar_component_clause,[],[f2140])). 117.31/116.66 tff(f7420,plain,( 117.31/116.66 spl30_1000 | ~spl30_170 | ~spl30_172 | ~spl30_174), 117.31/116.66 inference(avatar_split_clause,[],[f7416,f4285,f4300,f2140,f7418])). 117.31/116.66 tff(f7416,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_170 | ~spl30_172 | ~spl30_174)), 117.31/116.66 inference(forward_demodulation,[],[f7404,f4301])). 117.31/116.66 tff(f7404,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_170 | ~spl30_174)), 117.31/116.66 inference(superposition,[],[f2141,f4286])). 117.31/116.66 tff(f7411,plain,( 117.31/116.66 ~spl30_999 | ~spl30_170 | ~spl30_172 | ~spl30_174), 117.31/116.66 inference(avatar_split_clause,[],[f7407,f4285,f4300,f2140,f7409])). 117.31/116.66 tff(f7409,plain,( 117.31/116.66 spl30_999 <=> ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_999])])). 117.31/116.66 tff(f7407,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_170 | ~spl30_172 | ~spl30_174)), 117.31/116.66 inference(forward_demodulation,[],[f7406,f4286])). 117.31/116.66 tff(f7406,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))) | (~spl30_170 | ~spl30_172)), 117.31/116.66 inference(forward_demodulation,[],[f7397,f4301])). 117.31/116.66 tff(f7397,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_170), 117.31/116.66 inference(resolution,[],[f2141,f358])). 117.31/116.66 tff(f7395,plain,( 117.31/116.66 spl30_996 | ~spl30_158 | ~spl30_160 | ~spl30_162), 117.31/116.66 inference(avatar_split_clause,[],[f7394,f4379,f4674,f2097,f7391])). 117.31/116.66 tff(f7391,plain,( 117.31/116.66 spl30_996 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_996])])). 117.31/116.66 tff(f2097,plain,( 117.31/116.66 spl30_158 <=> $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_158])])). 117.31/116.66 tff(f7394,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_158 | ~spl30_160 | ~spl30_162)), 117.31/116.66 inference(forward_demodulation,[],[f7378,f4380])). 117.31/116.66 tff(f7378,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_158 | ~spl30_160)), 117.31/116.66 inference(superposition,[],[f2098,f4675])). 117.31/116.66 tff(f2098,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_158), 117.31/116.66 inference(avatar_component_clause,[],[f2097])). 117.31/116.66 tff(f7393,plain,( 117.31/116.66 spl30_996 | ~spl30_158 | ~spl30_160 | ~spl30_162), 117.31/116.66 inference(avatar_split_clause,[],[f7389,f4379,f4674,f2097,f7391])). 117.31/116.66 tff(f7389,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_158 | ~spl30_160 | ~spl30_162)), 117.31/116.66 inference(forward_demodulation,[],[f7377,f4675])). 117.31/116.66 tff(f7377,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_158 | ~spl30_162)), 117.31/116.66 inference(superposition,[],[f2098,f4380])). 117.31/116.66 tff(f7384,plain,( 117.31/116.66 ~spl30_995 | ~spl30_158 | ~spl30_160 | ~spl30_162), 117.31/116.66 inference(avatar_split_clause,[],[f7380,f4379,f4674,f2097,f7382])). 117.31/116.66 tff(f7382,plain,( 117.31/116.66 spl30_995 <=> ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_995])])). 117.31/116.66 tff(f7380,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_158 | ~spl30_160 | ~spl30_162)), 117.31/116.66 inference(forward_demodulation,[],[f7379,f4380])). 117.31/116.66 tff(f7379,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))) | (~spl30_158 | ~spl30_160)), 117.31/116.66 inference(forward_demodulation,[],[f7370,f4675])). 117.31/116.66 tff(f7370,plain,( 117.31/116.66 ~is_index1(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_158), 117.31/116.66 inference(resolution,[],[f2098,f358])). 117.31/116.66 tff(f6708,plain,( 117.31/116.66 spl30_992 | ~spl30_2 | ~spl30_160 | ~spl30_162), 117.31/116.66 inference(avatar_split_clause,[],[f6704,f4379,f4674,f1474,f6706])). 117.31/116.66 tff(f6706,plain,( 117.31/116.66 spl30_992 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_992])])). 117.31/116.66 tff(f1474,plain,( 117.31/116.66 spl30_2 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 117.31/116.66 tff(f6704,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_2 | ~spl30_160 | ~spl30_162)), 117.31/116.66 inference(forward_demodulation,[],[f6583,f4675])). 117.31/116.66 tff(f6583,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_2 | ~spl30_162)), 117.31/116.66 inference(superposition,[],[f1475,f4380])). 117.31/116.66 tff(f1475,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_2), 117.31/116.66 inference(avatar_component_clause,[],[f1474])). 117.31/116.66 tff(f6703,plain,( 117.31/116.66 spl30_990 | ~spl30_160 | ~spl30_162 | ~spl30_258), 117.31/116.66 inference(avatar_split_clause,[],[f6699,f1468,f4379,f4674,f6701])). 117.31/116.66 tff(f6701,plain,( 117.31/116.66 spl30_990 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_990])])). 117.31/116.66 tff(f1468,plain,( 117.31/116.66 spl30_258 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_258])])). 117.31/116.66 tff(f6699,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_160 | ~spl30_162 | ~spl30_258)), 117.31/116.66 inference(forward_demodulation,[],[f6582,f4675])). 117.31/116.66 tff(f6582,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_162 | ~spl30_258)), 117.31/116.66 inference(superposition,[],[f1469,f4380])). 117.31/116.66 tff(f1469,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_258), 117.31/116.66 inference(avatar_component_clause,[],[f1468])). 117.31/116.66 tff(f6687,plain,( 117.31/116.66 spl30_988 | ~spl30_160 | ~spl30_162 | ~spl30_212), 117.31/116.66 inference(avatar_split_clause,[],[f6683,f1266,f4379,f4674,f6685])). 117.31/116.66 tff(f6685,plain,( 117.31/116.66 spl30_988 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_988])])). 117.31/116.66 tff(f1266,plain,( 117.31/116.66 spl30_212 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_212])])). 117.31/116.66 tff(f6683,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))) | (~spl30_160 | ~spl30_162 | ~spl30_212)), 117.31/116.66 inference(forward_demodulation,[],[f6580,f4675])). 117.31/116.66 tff(f6580,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | (~spl30_162 | ~spl30_212)), 117.31/116.66 inference(superposition,[],[f1267,f4380])). 117.31/116.66 tff(f1267,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~spl30_212), 117.31/116.66 inference(avatar_component_clause,[],[f1266])). 117.31/116.66 tff(f6682,plain,( 117.31/116.66 ~spl30_987 | ~spl30_160 | ~spl30_162 | spl30_211), 117.31/116.66 inference(avatar_split_clause,[],[f6678,f1260,f4379,f4674,f6680])). 117.31/116.66 tff(f6680,plain,( 117.31/116.66 spl30_987 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))),1)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_987])])). 117.31/116.66 tff(f1260,plain,( 117.31/116.66 spl30_211 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_211])])). 117.31/116.66 tff(f6678,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))),1) | (~spl30_160 | ~spl30_162 | ~spl30_211)), 117.31/116.66 inference(forward_demodulation,[],[f6579,f4675])). 117.31/116.66 tff(f6579,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | (~spl30_162 | ~spl30_211)), 117.31/116.66 inference(superposition,[],[f1261,f4380])). 117.31/116.66 tff(f1261,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_211), 117.31/116.66 inference(avatar_component_clause,[],[f1260])). 117.31/116.66 tff(f6677,plain,( 117.31/116.66 ~spl30_985 | ~spl30_160 | ~spl30_162 | spl30_209), 117.31/116.66 inference(avatar_split_clause,[],[f6673,f1254,f4379,f4674,f6675])). 117.31/116.66 tff(f6675,plain,( 117.31/116.66 spl30_985 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_985])])). 117.31/116.66 tff(f1254,plain,( 117.31/116.66 spl30_209 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_209])])). 117.31/116.66 tff(f6673,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_160 | ~spl30_162 | ~spl30_209)), 117.31/116.66 inference(forward_demodulation,[],[f6578,f4675])). 117.31/116.66 tff(f6578,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | (~spl30_162 | ~spl30_209)), 117.31/116.66 inference(superposition,[],[f1255,f4380])). 117.31/116.66 tff(f1255,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_209), 117.31/116.66 inference(avatar_component_clause,[],[f1254])). 117.31/116.66 tff(f6672,plain,( 117.31/116.66 ~spl30_983 | ~spl30_160 | ~spl30_162 | spl30_207), 117.31/116.66 inference(avatar_split_clause,[],[f6668,f1248,f4379,f4674,f6670])). 117.31/116.66 tff(f6670,plain,( 117.31/116.66 spl30_983 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_983])])). 117.31/116.66 tff(f1248,plain,( 117.31/116.66 spl30_207 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_207])])). 117.31/116.66 tff(f6668,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))))))))) | (~spl30_160 | ~spl30_162 | ~spl30_207)), 117.31/116.66 inference(forward_demodulation,[],[f6577,f4675])). 117.31/116.66 tff(f6577,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | (~spl30_162 | ~spl30_207)), 117.31/116.66 inference(superposition,[],[f1249,f4380])). 117.31/116.66 tff(f1249,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_207), 117.31/116.66 inference(avatar_component_clause,[],[f1248])). 117.31/116.66 tff(f6667,plain,( 117.31/116.66 ~spl30_981 | ~spl30_160 | ~spl30_162 | spl30_203), 117.31/116.66 inference(avatar_split_clause,[],[f6663,f1236,f4379,f4674,f6665])). 117.31/116.66 tff(f6665,plain,( 117.31/116.66 spl30_981 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_981])])). 117.31/116.66 tff(f1236,plain,( 117.31/116.66 spl30_203 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_203])])). 117.31/116.66 tff(f6663,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_160 | ~spl30_162 | ~spl30_203)), 117.31/116.66 inference(forward_demodulation,[],[f6576,f4675])). 117.31/116.66 tff(f6576,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_162 | ~spl30_203)), 117.31/116.66 inference(superposition,[],[f1237,f4380])). 117.31/116.66 tff(f1237,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_203), 117.31/116.66 inference(avatar_component_clause,[],[f1236])). 117.31/116.66 tff(f6662,plain,( 117.31/116.66 spl30_978 | ~spl30_160 | ~spl30_162 | ~spl30_200), 117.31/116.66 inference(avatar_split_clause,[],[f6658,f1232,f4379,f4674,f6660])). 117.31/116.66 tff(f6660,plain,( 117.31/116.66 spl30_978 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_978])])). 117.31/116.66 tff(f1232,plain,( 117.31/116.66 spl30_200 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_200])])). 117.31/116.66 tff(f6658,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_160 | ~spl30_162 | ~spl30_200)), 117.31/116.66 inference(forward_demodulation,[],[f6575,f4675])). 117.31/116.66 tff(f6575,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_162 | ~spl30_200)), 117.31/116.66 inference(superposition,[],[f1233,f4380])). 117.31/116.66 tff(f1233,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_200), 117.31/116.66 inference(avatar_component_clause,[],[f1232])). 117.31/116.66 tff(f6657,plain,( 117.31/116.66 ~spl30_977 | ~spl30_160 | ~spl30_162 | spl30_199), 117.31/116.66 inference(avatar_split_clause,[],[f6653,f1228,f4379,f4674,f6655])). 117.31/116.66 tff(f6655,plain,( 117.31/116.66 spl30_977 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_977])])). 117.31/116.66 tff(f1228,plain,( 117.31/116.66 spl30_199 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_199])])). 117.31/116.66 tff(f6653,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),0) | (~spl30_160 | ~spl30_162 | ~spl30_199)), 117.31/116.66 inference(forward_demodulation,[],[f6574,f4675])). 117.31/116.66 tff(f6574,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | (~spl30_162 | ~spl30_199)), 117.31/116.66 inference(superposition,[],[f1229,f4380])). 117.31/116.66 tff(f1229,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_199), 117.31/116.66 inference(avatar_component_clause,[],[f1228])). 117.31/116.66 tff(f6652,plain,( 117.31/116.66 spl30_974 | ~spl30_160 | ~spl30_162 | ~spl30_196), 117.31/116.66 inference(avatar_split_clause,[],[f6648,f1224,f4379,f4674,f6650])). 117.31/116.66 tff(f6650,plain,( 117.31/116.66 spl30_974 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_974])])). 117.31/116.66 tff(f1224,plain,( 117.31/116.66 spl30_196 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_196])])). 117.31/116.66 tff(f6648,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_160 | ~spl30_162 | ~spl30_196)), 117.31/116.66 inference(forward_demodulation,[],[f6573,f4675])). 117.31/116.66 tff(f6573,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_162 | ~spl30_196)), 117.31/116.66 inference(superposition,[],[f1225,f4380])). 117.31/116.66 tff(f1225,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_196), 117.31/116.66 inference(avatar_component_clause,[],[f1224])). 117.31/116.66 tff(f6647,plain,( 117.31/116.66 ~spl30_973 | ~spl30_160 | ~spl30_162 | spl30_195), 117.31/116.66 inference(avatar_split_clause,[],[f6643,f1220,f4379,f4674,f6645])). 117.31/116.66 tff(f6645,plain,( 117.31/116.66 spl30_973 <=> 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))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_973])])). 117.31/116.66 tff(f1220,plain,( 117.31/116.66 spl30_195 <=> 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))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_195])])). 117.31/116.66 tff(f6643,plain,( 117.31/116.66 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_160 | ~spl30_162 | ~spl30_195)), 117.31/116.66 inference(forward_demodulation,[],[f6572,f4675])). 117.31/116.66 tff(f6572,plain,( 117.31/116.66 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_162 | ~spl30_195)), 117.31/116.66 inference(superposition,[],[f1221,f4380])). 117.31/116.66 tff(f1221,plain,( 117.31/116.66 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_195), 117.31/116.66 inference(avatar_component_clause,[],[f1220])). 117.31/116.66 tff(f6642,plain,( 117.31/116.66 ~spl30_971 | ~spl30_160 | ~spl30_162 | spl30_169), 117.31/116.66 inference(avatar_split_clause,[],[f6638,f1117,f4379,f4674,f6640])). 117.31/116.66 tff(f6640,plain,( 117.31/116.66 spl30_971 <=> ~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))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_971])])). 117.31/116.66 tff(f1117,plain,( 117.31/116.66 spl30_169 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_169])])). 117.31/116.66 tff(f6638,plain,( 117.31/116.66 ~is_index1($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_160 | ~spl30_162 | ~spl30_169)), 117.31/116.66 inference(forward_demodulation,[],[f6571,f4675])). 117.31/116.66 tff(f6571,plain,( 117.31/116.66 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK1)),sK17(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | (~spl30_162 | ~spl30_169)), 117.31/116.66 inference(superposition,[],[f1118,f4380])). 117.31/116.66 tff(f1118,plain,( 117.31/116.66 ~is_index1($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_169), 117.31/116.66 inference(avatar_component_clause,[],[f1117])). 117.31/116.66 tff(f6637,plain,( 117.31/116.66 spl30_968 | ~spl30_160 | ~spl30_162 | ~spl30_164), 117.31/116.66 inference(avatar_split_clause,[],[f6633,f1099,f4379,f4674,f6635])). 117.31/116.66 tff(f6635,plain,( 117.31/116.66 spl30_968 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_968])])). 117.31/116.66 tff(f1099,plain,( 117.31/116.66 spl30_164 <=> $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_164])])). 117.31/116.66 tff(f6633,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))),9) | (~spl30_160 | ~spl30_162 | ~spl30_164)), 117.31/116.66 inference(forward_demodulation,[],[f6570,f4675])). 117.31/116.66 tff(f6570,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | (~spl30_162 | ~spl30_164)), 117.31/116.66 inference(superposition,[],[f1100,f4380])). 117.31/116.66 tff(f1100,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_164), 117.31/116.66 inference(avatar_component_clause,[],[f1099])). 117.31/116.66 tff(f6616,plain,( 117.31/116.66 ~spl30_967 | spl30_5 | ~spl30_160 | ~spl30_162), 117.31/116.66 inference(avatar_split_clause,[],[f6612,f4379,f4674,f581,f6614])). 117.31/116.66 tff(f6614,plain,( 117.31/116.66 spl30_967 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_967])])). 117.31/116.66 tff(f6612,plain,( 117.31/116.66 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3)))) | (~spl30_5 | ~spl30_160 | ~spl30_162)), 117.31/116.66 inference(forward_demodulation,[],[f6560,f4675])). 117.31/116.66 tff(f6560,plain,( 117.31/116.66 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | (~spl30_5 | ~spl30_162)), 117.31/116.66 inference(superposition,[],[f582,f4380])). 117.31/116.66 tff(f5905,plain,( 117.31/116.66 spl30_964 | ~spl30_184 | ~spl30_186 | ~spl30_254), 117.31/116.66 inference(avatar_split_clause,[],[f5901,f1456,f4348,f4363,f5903])). 117.31/116.66 tff(f5903,plain,( 117.31/116.66 spl30_964 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_964])])). 117.31/116.66 tff(f1456,plain,( 117.31/116.66 spl30_254 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_254])])). 117.31/116.66 tff(f5901,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_184 | ~spl30_186 | ~spl30_254)), 117.31/116.66 inference(forward_demodulation,[],[f5779,f4364])). 117.31/116.66 tff(f5779,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_186 | ~spl30_254)), 117.31/116.66 inference(superposition,[],[f1457,f4349])). 117.31/116.66 tff(f1457,plain,( 117.31/116.66 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_254), 117.31/116.66 inference(avatar_component_clause,[],[f1456])). 117.31/116.66 tff(f5900,plain,( 117.31/116.66 spl30_962 | ~spl30_12 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f5896,f4348,f4363,f1450,f5898])). 117.31/116.66 tff(f5898,plain,( 117.31/116.66 spl30_962 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_962])])). 117.31/116.66 tff(f1450,plain,( 117.31/116.66 spl30_12 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 117.31/116.66 tff(f5896,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_12 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f5778,f4364])). 117.31/116.66 tff(f5778,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_12 | ~spl30_186)), 117.31/116.66 inference(superposition,[],[f1451,f4349])). 117.31/116.66 tff(f1451,plain,( 117.31/116.66 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_12), 117.31/116.66 inference(avatar_component_clause,[],[f1450])). 117.31/116.66 tff(f5884,plain,( 117.31/116.66 spl30_960 | ~spl30_184 | ~spl30_186 | ~spl30_232), 117.31/116.66 inference(avatar_split_clause,[],[f5880,f1327,f4348,f4363,f5882])). 117.31/116.66 tff(f5882,plain,( 117.31/116.66 spl30_960 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_960])])). 117.31/116.66 tff(f1327,plain,( 117.31/116.66 spl30_232 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_232])])). 117.31/116.66 tff(f5880,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))) | (~spl30_184 | ~spl30_186 | ~spl30_232)), 117.31/116.66 inference(forward_demodulation,[],[f5776,f4364])). 117.31/116.66 tff(f5776,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | (~spl30_186 | ~spl30_232)), 117.31/116.66 inference(superposition,[],[f1328,f4349])). 117.31/116.66 tff(f1328,plain,( 117.31/116.66 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~spl30_232), 117.31/116.66 inference(avatar_component_clause,[],[f1327])). 117.31/116.66 tff(f5879,plain,( 117.31/116.66 ~spl30_959 | ~spl30_184 | ~spl30_186 | spl30_231), 117.31/116.66 inference(avatar_split_clause,[],[f5875,f1321,f4348,f4363,f5877])). 117.31/116.66 tff(f5877,plain,( 117.31/116.66 spl30_959 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_959])])). 117.31/116.66 tff(f1321,plain,( 117.31/116.66 spl30_231 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_231])])). 117.31/116.66 tff(f5875,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))),1) | (~spl30_184 | ~spl30_186 | ~spl30_231)), 117.31/116.66 inference(forward_demodulation,[],[f5775,f4364])). 117.31/116.66 tff(f5775,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | (~spl30_186 | ~spl30_231)), 117.31/116.66 inference(superposition,[],[f1322,f4349])). 117.31/116.66 tff(f1322,plain,( 117.31/116.66 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_231), 117.31/116.66 inference(avatar_component_clause,[],[f1321])). 117.31/116.66 tff(f5874,plain,( 117.31/116.66 ~spl30_957 | ~spl30_184 | ~spl30_186 | spl30_229), 117.31/116.66 inference(avatar_split_clause,[],[f5870,f1315,f4348,f4363,f5872])). 117.31/116.66 tff(f5872,plain,( 117.31/116.66 spl30_957 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_957])])). 117.31/116.66 tff(f1315,plain,( 117.31/116.66 spl30_229 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_229])])). 117.31/116.66 tff(f5870,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | (~spl30_184 | ~spl30_186 | ~spl30_229)), 117.31/116.66 inference(forward_demodulation,[],[f5774,f4364])). 117.31/116.66 tff(f5774,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | (~spl30_186 | ~spl30_229)), 117.31/116.66 inference(superposition,[],[f1316,f4349])). 117.31/116.66 tff(f1316,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_229), 117.31/116.66 inference(avatar_component_clause,[],[f1315])). 117.31/116.66 tff(f5869,plain,( 117.31/116.66 ~spl30_955 | ~spl30_184 | ~spl30_186 | spl30_227), 117.31/116.66 inference(avatar_split_clause,[],[f5865,f1309,f4348,f4363,f5867])). 117.31/116.66 tff(f5867,plain,( 117.31/116.66 spl30_955 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_955])])). 117.31/116.66 tff(f1309,plain,( 117.31/116.66 spl30_227 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_227])])). 117.31/116.66 tff(f5865,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))))))))) | (~spl30_184 | ~spl30_186 | ~spl30_227)), 117.31/116.66 inference(forward_demodulation,[],[f5773,f4364])). 117.31/116.66 tff(f5773,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | (~spl30_186 | ~spl30_227)), 117.31/116.66 inference(superposition,[],[f1310,f4349])). 117.31/116.66 tff(f1310,plain,( 117.31/116.66 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_227), 117.31/116.66 inference(avatar_component_clause,[],[f1309])). 117.31/116.66 tff(f5864,plain,( 117.31/116.66 ~spl30_953 | ~spl30_184 | ~spl30_186 | spl30_223), 117.31/116.66 inference(avatar_split_clause,[],[f5860,f1297,f4348,f4363,f5862])). 117.31/116.66 tff(f5862,plain,( 117.31/116.66 spl30_953 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_953])])). 117.31/116.66 tff(f1297,plain,( 117.31/116.66 spl30_223 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_223])])). 117.31/116.66 tff(f5860,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_184 | ~spl30_186 | ~spl30_223)), 117.31/116.66 inference(forward_demodulation,[],[f5772,f4364])). 117.31/116.66 tff(f5772,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_186 | ~spl30_223)), 117.31/116.66 inference(superposition,[],[f1298,f4349])). 117.31/116.66 tff(f1298,plain,( 117.31/116.66 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_223), 117.31/116.66 inference(avatar_component_clause,[],[f1297])). 117.31/116.66 tff(f5859,plain,( 117.31/116.66 spl30_950 | ~spl30_184 | ~spl30_186 | ~spl30_220), 117.31/116.66 inference(avatar_split_clause,[],[f5855,f1293,f4348,f4363,f5857])). 117.31/116.66 tff(f5857,plain,( 117.31/116.66 spl30_950 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_950])])). 117.31/116.66 tff(f1293,plain,( 117.31/116.66 spl30_220 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_220])])). 117.31/116.66 tff(f5855,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_184 | ~spl30_186 | ~spl30_220)), 117.31/116.66 inference(forward_demodulation,[],[f5771,f4364])). 117.31/116.66 tff(f5771,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_186 | ~spl30_220)), 117.31/116.66 inference(superposition,[],[f1294,f4349])). 117.31/116.66 tff(f1294,plain,( 117.31/116.66 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_220), 117.31/116.66 inference(avatar_component_clause,[],[f1293])). 117.31/116.66 tff(f5854,plain,( 117.31/116.66 ~spl30_949 | ~spl30_184 | ~spl30_186 | spl30_219), 117.31/116.66 inference(avatar_split_clause,[],[f5850,f1289,f4348,f4363,f5852])). 117.31/116.66 tff(f5852,plain,( 117.31/116.66 spl30_949 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_949])])). 117.31/116.66 tff(f1289,plain,( 117.31/116.66 spl30_219 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_219])])). 117.31/116.66 tff(f5850,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),0) | (~spl30_184 | ~spl30_186 | ~spl30_219)), 117.31/116.66 inference(forward_demodulation,[],[f5770,f4364])). 117.31/116.66 tff(f5770,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | (~spl30_186 | ~spl30_219)), 117.31/116.66 inference(superposition,[],[f1290,f4349])). 117.31/116.66 tff(f1290,plain,( 117.31/116.66 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_219), 117.31/116.66 inference(avatar_component_clause,[],[f1289])). 117.31/116.66 tff(f5849,plain,( 117.31/116.66 spl30_946 | ~spl30_184 | ~spl30_186 | ~spl30_216), 117.31/116.66 inference(avatar_split_clause,[],[f5845,f1285,f4348,f4363,f5847])). 117.31/116.66 tff(f5847,plain,( 117.31/116.66 spl30_946 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_946])])). 117.31/116.66 tff(f1285,plain,( 117.31/116.66 spl30_216 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_216])])). 117.31/116.66 tff(f5845,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_184 | ~spl30_186 | ~spl30_216)), 117.31/116.66 inference(forward_demodulation,[],[f5769,f4364])). 117.31/116.66 tff(f5769,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_186 | ~spl30_216)), 117.31/116.66 inference(superposition,[],[f1286,f4349])). 117.31/116.66 tff(f1286,plain,( 117.31/116.66 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_216), 117.31/116.66 inference(avatar_component_clause,[],[f1285])). 117.31/116.66 tff(f5844,plain,( 117.31/116.66 ~spl30_945 | ~spl30_184 | ~spl30_186 | spl30_215), 117.31/116.66 inference(avatar_split_clause,[],[f5840,f1281,f4348,f4363,f5842])). 117.31/116.66 tff(f5842,plain,( 117.31/116.66 spl30_945 <=> 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))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_945])])). 117.31/116.66 tff(f1281,plain,( 117.31/116.66 spl30_215 <=> 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))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_215])])). 117.31/116.66 tff(f5840,plain,( 117.31/116.66 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_184 | ~spl30_186 | ~spl30_215)), 117.31/116.66 inference(forward_demodulation,[],[f5768,f4364])). 117.31/116.66 tff(f5768,plain,( 117.31/116.66 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_186 | ~spl30_215)), 117.31/116.66 inference(superposition,[],[f1282,f4349])). 117.31/116.66 tff(f1282,plain,( 117.31/116.66 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_215), 117.31/116.66 inference(avatar_component_clause,[],[f1281])). 117.31/116.66 tff(f5839,plain,( 117.31/116.66 ~spl30_943 | ~spl30_184 | ~spl30_186 | spl30_193), 117.31/116.66 inference(avatar_split_clause,[],[f5835,f1205,f4348,f4363,f5837])). 117.31/116.66 tff(f5837,plain,( 117.31/116.66 spl30_943 <=> ~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))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_943])])). 117.31/116.66 tff(f1205,plain,( 117.31/116.66 spl30_193 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_193])])). 117.31/116.66 tff(f5835,plain,( 117.31/116.66 ~is_index1($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_184 | ~spl30_186 | ~spl30_193)), 117.31/116.66 inference(forward_demodulation,[],[f5767,f4364])). 117.31/116.66 tff(f5767,plain,( 117.31/116.66 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK9)),sK17(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | (~spl30_186 | ~spl30_193)), 117.31/116.66 inference(superposition,[],[f1206,f4349])). 117.31/116.66 tff(f1206,plain,( 117.31/116.66 ~is_index1($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_193), 117.31/116.66 inference(avatar_component_clause,[],[f1205])). 117.31/116.66 tff(f5834,plain,( 117.31/116.66 spl30_940 | ~spl30_184 | ~spl30_186 | ~spl30_188), 117.31/116.66 inference(avatar_split_clause,[],[f5830,f1187,f4348,f4363,f5832])). 117.31/116.66 tff(f5832,plain,( 117.31/116.66 spl30_940 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_940])])). 117.31/116.66 tff(f1187,plain,( 117.31/116.66 spl30_188 <=> $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_188])])). 117.31/116.66 tff(f5830,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),9) | (~spl30_184 | ~spl30_186 | ~spl30_188)), 117.31/116.66 inference(forward_demodulation,[],[f5766,f4364])). 117.31/116.66 tff(f5766,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | (~spl30_186 | ~spl30_188)), 117.31/116.66 inference(superposition,[],[f1188,f4349])). 117.31/116.66 tff(f1188,plain,( 117.31/116.66 $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_188), 117.31/116.66 inference(avatar_component_clause,[],[f1187])). 117.31/116.66 tff(f5810,plain,( 117.31/116.66 ~spl30_939 | spl30_11 | ~spl30_184 | ~spl30_186), 117.31/116.66 inference(avatar_split_clause,[],[f5806,f4348,f4363,f590,f5808])). 117.31/116.66 tff(f5808,plain,( 117.31/116.66 spl30_939 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11))))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_939])])). 117.31/116.66 tff(f5806,plain,( 117.31/116.66 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))) | (~spl30_11 | ~spl30_184 | ~spl30_186)), 117.31/116.66 inference(forward_demodulation,[],[f5756,f4364])). 117.31/116.66 tff(f5756,plain,( 117.31/116.66 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | (~spl30_11 | ~spl30_186)), 117.31/116.66 inference(superposition,[],[f591,f4349])). 117.31/116.66 tff(f5552,plain,( 117.31/116.66 ~spl30_937 | ~spl30_172 | spl30_597), 117.31/116.66 inference(avatar_split_clause,[],[f5351,f2974,f4300,f5550])). 117.31/116.66 tff(f5550,plain,( 117.31/116.66 spl30_937 <=> ~$less(9,sK14)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_937])])). 117.31/116.66 tff(f2974,plain,( 117.31/116.66 spl30_597 <=> ~$less(sK6,sK14)), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_597])])). 117.31/116.66 tff(f5351,plain,( 117.31/116.66 ~$less(9,sK14) | (~spl30_172 | ~spl30_597)), 117.31/116.66 inference(superposition,[],[f2975,f4301])). 117.31/116.66 tff(f2975,plain,( 117.31/116.66 ~$less(sK6,sK14) | ~spl30_597), 117.31/116.66 inference(avatar_component_clause,[],[f2974])). 117.31/116.66 tff(f5533,plain,( 117.31/116.66 ~spl30_935 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_319), 117.31/116.66 inference(avatar_split_clause,[],[f5529,f1633,f4348,f4363,f4285,f4300,f4379,f4674,f5531])). 117.31/116.66 tff(f5531,plain,( 117.31/116.66 spl30_935 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_935])])). 117.31/116.66 tff(f1633,plain,( 117.31/116.66 spl30_319 <=> ~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,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_319])])). 117.31/116.66 tff(f5529,plain,( 117.31/116.66 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.66 inference(forward_demodulation,[],[f5528,f4380])). 117.31/116.66 tff(f5528,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.66 inference(forward_demodulation,[],[f5527,f4675])). 117.31/116.66 tff(f5527,plain,( 117.31/116.66 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.66 inference(forward_demodulation,[],[f5526,f4286])). 117.31/116.66 tff(f5526,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.66 inference(forward_demodulation,[],[f5525,f4349])). 117.31/116.66 tff(f5525,plain,( 117.31/116.66 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_319)), 117.31/116.66 inference(forward_demodulation,[],[f5345,f4364])). 117.31/116.66 tff(f5345,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_319)), 117.31/116.66 inference(superposition,[],[f1634,f4301])). 117.31/116.66 tff(f1634,plain,( 117.31/116.66 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~spl30_319), 117.31/116.66 inference(avatar_component_clause,[],[f1633])). 117.31/116.66 tff(f5524,plain,( 117.31/116.66 ~spl30_933 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_317), 117.31/116.66 inference(avatar_split_clause,[],[f5520,f1630,f4348,f4363,f4285,f4300,f4379,f4674,f5522])). 117.31/116.66 tff(f5522,plain,( 117.31/116.66 spl30_933 <=> ~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,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_933])])). 117.31/116.66 tff(f1630,plain,( 117.31/116.66 spl30_317 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_317])])). 117.31/116.66 tff(f5520,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.66 inference(forward_demodulation,[],[f5519,f4380])). 117.31/116.66 tff(f5519,plain,( 117.31/116.66 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.66 inference(forward_demodulation,[],[f5518,f4675])). 117.31/116.66 tff(f5518,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.66 inference(forward_demodulation,[],[f5517,f4286])). 117.31/116.66 tff(f5517,plain,( 117.31/116.66 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.66 inference(forward_demodulation,[],[f5516,f4349])). 117.31/116.66 tff(f5516,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_317)), 117.31/116.66 inference(forward_demodulation,[],[f5344,f4364])). 117.31/116.66 tff(f5344,plain,( 117.31/116.66 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_317)), 117.31/116.66 inference(superposition,[],[f1631,f4301])). 117.31/116.66 tff(f1631,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | ~spl30_317), 117.31/116.66 inference(avatar_component_clause,[],[f1630])). 117.31/116.66 tff(f5515,plain,( 117.31/116.66 ~spl30_931 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_315), 117.31/116.66 inference(avatar_split_clause,[],[f5511,f1627,f4348,f4363,f4285,f4300,f4379,f4674,f5513])). 117.31/116.66 tff(f5513,plain,( 117.31/116.66 spl30_931 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_931])])). 117.31/116.66 tff(f1627,plain,( 117.31/116.66 spl30_315 <=> ~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,$sum(sK14,1)))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_315])])). 117.31/116.66 tff(f5511,plain,( 117.31/116.66 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.66 inference(forward_demodulation,[],[f5510,f4380])). 117.31/116.66 tff(f5510,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.66 inference(forward_demodulation,[],[f5509,f4675])). 117.31/116.66 tff(f5509,plain,( 117.31/116.66 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.66 inference(forward_demodulation,[],[f5508,f4286])). 117.31/116.66 tff(f5508,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.66 inference(forward_demodulation,[],[f5507,f4349])). 117.31/116.66 tff(f5507,plain,( 117.31/116.66 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_184 | ~spl30_315)), 117.31/116.66 inference(forward_demodulation,[],[f5343,f4364])). 117.31/116.66 tff(f5343,plain,( 117.31/116.66 ~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,$sum(sK14,1))) | (~spl30_172 | ~spl30_315)), 117.31/116.66 inference(superposition,[],[f1628,f4301])). 117.31/116.66 tff(f1628,plain,( 117.31/116.66 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~spl30_315), 117.31/116.66 inference(avatar_component_clause,[],[f1627])). 117.31/116.66 tff(f5506,plain,( 117.31/116.66 spl30_928 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310), 117.31/116.66 inference(avatar_split_clause,[],[f5502,f1619,f4348,f4363,f4285,f4300,f4379,f4674,f5504])). 117.31/116.66 tff(f5504,plain,( 117.31/116.66 spl30_928 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_928])])). 117.31/116.66 tff(f1619,plain,( 117.31/116.66 spl30_310 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_310])])). 117.31/116.66 tff(f5502,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.66 inference(forward_demodulation,[],[f5501,f4380])). 117.31/116.66 tff(f5501,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.66 inference(forward_demodulation,[],[f5500,f4675])). 117.31/116.66 tff(f5500,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.66 inference(forward_demodulation,[],[f5499,f4286])). 117.31/116.66 tff(f5499,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_172 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.66 inference(forward_demodulation,[],[f5498,f4349])). 117.31/116.66 tff(f5498,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_172 | ~spl30_184 | ~spl30_310)), 117.31/116.66 inference(forward_demodulation,[],[f5342,f4364])). 117.31/116.66 tff(f5342,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_172 | ~spl30_310)), 117.31/116.66 inference(superposition,[],[f1620,f4301])). 117.31/116.66 tff(f1620,plain,( 117.31/116.66 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | ~spl30_310), 117.31/116.66 inference(avatar_component_clause,[],[f1619])). 117.31/116.66 tff(f5497,plain,( 117.31/116.66 ~spl30_927 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_283), 117.31/116.66 inference(avatar_split_clause,[],[f5493,f1536,f4348,f4363,f4285,f4300,f4379,f4674,f5495])). 117.31/116.66 tff(f5495,plain,( 117.31/116.66 spl30_927 <=> ~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))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_927])])). 117.31/116.66 tff(f1536,plain,( 117.31/116.66 spl30_283 <=> ~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))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_283])])). 117.31/116.66 tff(f5493,plain,( 117.31/116.66 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.66 inference(forward_demodulation,[],[f5492,f4380])). 117.31/116.66 tff(f5492,plain,( 117.31/116.66 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.66 inference(forward_demodulation,[],[f5491,f4675])). 117.31/116.66 tff(f5491,plain,( 117.31/116.66 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.66 inference(forward_demodulation,[],[f5490,f4286])). 117.31/116.66 tff(f5490,plain,( 117.31/116.66 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.66 inference(forward_demodulation,[],[f5489,f4349])). 117.31/116.66 tff(f5489,plain,( 117.31/116.66 ~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_172 | ~spl30_184 | ~spl30_283)), 117.31/116.66 inference(forward_demodulation,[],[f5341,f4364])). 117.31/116.66 tff(f5341,plain,( 117.31/116.66 ~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_172 | ~spl30_283)), 117.31/116.66 inference(superposition,[],[f1537,f4301])). 117.31/116.66 tff(f1537,plain,( 117.31/116.66 ~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_283), 117.31/116.66 inference(avatar_component_clause,[],[f1536])). 117.31/116.66 tff(f5488,plain,( 117.31/116.66 ~spl30_925 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_281), 117.31/116.66 inference(avatar_split_clause,[],[f5484,f1533,f4348,f4363,f4285,f4300,f4379,f4674,f5486])). 117.31/116.66 tff(f5486,plain,( 117.31/116.66 spl30_925 <=> ~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))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_925])])). 117.31/116.66 tff(f1533,plain,( 117.31/116.66 spl30_281 <=> ~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))), 117.31/116.66 introduced(avatar_definition,[new_symbols(naming,[spl30_281])])). 117.31/116.66 tff(f5484,plain,( 117.31/116.66 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.66 inference(forward_demodulation,[],[f5483,f4380])). 117.31/116.66 tff(f5483,plain,( 117.31/116.66 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.66 inference(forward_demodulation,[],[f5482,f4675])). 117.31/116.66 tff(f5482,plain,( 117.31/116.66 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.66 inference(forward_demodulation,[],[f5481,f4286])). 117.31/116.66 tff(f5481,plain,( 117.31/116.66 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.66 inference(forward_demodulation,[],[f5480,f4349])). 117.31/116.66 tff(f5480,plain,( 117.31/116.66 ~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_172 | ~spl30_184 | ~spl30_281)), 117.31/116.66 inference(forward_demodulation,[],[f5340,f4364])). 117.31/116.66 tff(f5340,plain,( 117.31/116.66 ~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_172 | ~spl30_281)), 117.31/116.66 inference(superposition,[],[f1534,f4301])). 117.31/116.66 tff(f1534,plain,( 117.31/116.66 ~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_281), 117.31/116.66 inference(avatar_component_clause,[],[f1533])). 117.31/116.67 tff(f5479,plain,( 117.31/116.67 ~spl30_923 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_279), 117.31/116.67 inference(avatar_split_clause,[],[f5475,f1530,f4348,f4363,f4285,f4300,f4379,f4674,f5477])). 117.31/116.67 tff(f5477,plain,( 117.31/116.67 spl30_923 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_923])])). 117.31/116.67 tff(f1530,plain,( 117.31/116.67 spl30_279 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_279])])). 117.31/116.67 tff(f5475,plain,( 117.31/116.67 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.67 inference(forward_demodulation,[],[f5474,f4380])). 117.31/116.67 tff(f5474,plain,( 117.31/116.67 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.67 inference(forward_demodulation,[],[f5473,f4675])). 117.31/116.67 tff(f5473,plain,( 117.31/116.67 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.67 inference(forward_demodulation,[],[f5472,f4286])). 117.31/116.67 tff(f5472,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.67 inference(forward_demodulation,[],[f5471,f4349])). 117.31/116.67 tff(f5471,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_279)), 117.31/116.67 inference(forward_demodulation,[],[f5339,f4364])). 117.31/116.67 tff(f5339,plain,( 117.31/116.67 ~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_172 | ~spl30_279)), 117.31/116.67 inference(superposition,[],[f1531,f4301])). 117.31/116.67 tff(f1531,plain,( 117.31/116.67 ~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_279), 117.31/116.67 inference(avatar_component_clause,[],[f1530])). 117.31/116.67 tff(f5470,plain,( 117.31/116.67 ~spl30_921 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_277), 117.31/116.67 inference(avatar_split_clause,[],[f5466,f1526,f4348,f4363,f4285,f4300,f4379,f4674,f5468])). 117.31/116.67 tff(f5468,plain,( 117.31/116.67 spl30_921 <=> ~$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)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_921])])). 117.31/116.67 tff(f1526,plain,( 117.31/116.67 spl30_277 <=> ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_277])])). 117.31/116.67 tff(f5466,plain,( 117.31/116.67 ~$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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.67 inference(forward_demodulation,[],[f5465,f4380])). 117.31/116.67 tff(f5465,plain,( 117.31/116.67 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,9,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.67 inference(forward_demodulation,[],[f5464,f4675])). 117.31/116.67 tff(f5464,plain,( 117.31/116.67 ~$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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.67 inference(forward_demodulation,[],[f5463,f4286])). 117.31/116.67 tff(f5463,plain,( 117.31/116.67 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_172 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.67 inference(forward_demodulation,[],[f5462,f4349])). 117.31/116.67 tff(f5462,plain,( 117.31/116.67 ~$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_172 | ~spl30_184 | ~spl30_277)), 117.31/116.67 inference(forward_demodulation,[],[f5338,f4364])). 117.31/116.67 tff(f5338,plain,( 117.31/116.67 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | (~spl30_172 | ~spl30_277)), 117.31/116.67 inference(superposition,[],[f1527,f4301])). 117.31/116.67 tff(f1527,plain,( 117.31/116.67 ~$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_277), 117.31/116.67 inference(avatar_component_clause,[],[f1526])). 117.31/116.67 tff(f5436,plain,( 117.31/116.67 ~spl30_919 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_269), 117.31/116.67 inference(avatar_split_clause,[],[f5432,f1499,f4348,f4363,f4285,f4300,f4379,f4674,f5434])). 117.31/116.67 tff(f5434,plain,( 117.31/116.67 spl30_919 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_919])])). 117.31/116.67 tff(f1499,plain,( 117.31/116.67 spl30_269 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_269])])). 117.31/116.67 tff(f5432,plain,( 117.31/116.67 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.67 inference(forward_demodulation,[],[f5431,f4380])). 117.31/116.67 tff(f5431,plain,( 117.31/116.67 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.67 inference(forward_demodulation,[],[f5430,f4675])). 117.31/116.67 tff(f5430,plain,( 117.31/116.67 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.67 inference(forward_demodulation,[],[f5429,f4286])). 117.31/116.67 tff(f5429,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.67 inference(forward_demodulation,[],[f5428,f4349])). 117.31/116.67 tff(f5428,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_269)), 117.31/116.67 inference(forward_demodulation,[],[f5332,f4364])). 117.31/116.67 tff(f5332,plain,( 117.31/116.67 ~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_172 | ~spl30_269)), 117.31/116.67 inference(superposition,[],[f1500,f4301])). 117.31/116.67 tff(f1500,plain,( 117.31/116.67 ~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_269), 117.31/116.67 inference(avatar_component_clause,[],[f1499])). 117.31/116.67 tff(f5427,plain,( 117.31/116.67 ~spl30_917 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_267), 117.31/116.67 inference(avatar_split_clause,[],[f5423,f1496,f4348,f4363,f4285,f4300,f4379,f4674,f5425])). 117.31/116.67 tff(f5425,plain,( 117.31/116.67 spl30_917 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_917])])). 117.31/116.67 tff(f1496,plain,( 117.31/116.67 spl30_267 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_267])])). 117.31/116.67 tff(f5423,plain,( 117.31/116.67 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.67 inference(forward_demodulation,[],[f5422,f4380])). 117.31/116.67 tff(f5422,plain,( 117.31/116.67 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.67 inference(forward_demodulation,[],[f5421,f4675])). 117.31/116.67 tff(f5421,plain,( 117.31/116.67 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.67 inference(forward_demodulation,[],[f5420,f4286])). 117.31/116.67 tff(f5420,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.67 inference(forward_demodulation,[],[f5419,f4349])). 117.31/116.67 tff(f5419,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_267)), 117.31/116.67 inference(forward_demodulation,[],[f5331,f4364])). 117.31/116.67 tff(f5331,plain,( 117.31/116.67 ~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_172 | ~spl30_267)), 117.31/116.67 inference(superposition,[],[f1497,f4301])). 117.31/116.67 tff(f1497,plain,( 117.31/116.67 ~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_267), 117.31/116.67 inference(avatar_component_clause,[],[f1496])). 117.31/116.67 tff(f5418,plain,( 117.31/116.67 ~spl30_915 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_265), 117.31/116.67 inference(avatar_split_clause,[],[f5414,f1493,f4348,f4363,f4285,f4300,f4379,f4674,f5416])). 117.31/116.67 tff(f5416,plain,( 117.31/116.67 spl30_915 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_915])])). 117.31/116.67 tff(f1493,plain,( 117.31/116.67 spl30_265 <=> ~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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_265])])). 117.31/116.67 tff(f5414,plain,( 117.31/116.67 ~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_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.67 inference(forward_demodulation,[],[f5413,f4380])). 117.31/116.67 tff(f5413,plain,( 117.31/116.67 ~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_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.67 inference(forward_demodulation,[],[f5412,f4675])). 117.31/116.67 tff(f5412,plain,( 117.31/116.67 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.67 inference(forward_demodulation,[],[f5411,f4286])). 117.31/116.67 tff(f5411,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.67 inference(forward_demodulation,[],[f5410,f4349])). 117.31/116.67 tff(f5410,plain,( 117.31/116.67 ~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_172 | ~spl30_184 | ~spl30_265)), 117.31/116.67 inference(forward_demodulation,[],[f5330,f4364])). 117.31/116.67 tff(f5330,plain,( 117.31/116.67 ~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_172 | ~spl30_265)), 117.31/116.67 inference(superposition,[],[f1494,f4301])). 117.31/116.67 tff(f1494,plain,( 117.31/116.67 ~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_265), 117.31/116.67 inference(avatar_component_clause,[],[f1493])). 117.31/116.67 tff(f5380,plain,( 117.31/116.67 spl30_912 | ~spl30_42 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.67 inference(avatar_split_clause,[],[f5376,f4348,f4363,f4285,f4300,f4379,f4674,f703,f5378])). 117.31/116.67 tff(f5378,plain,( 117.31/116.67 spl30_912 <=> 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)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_912])])). 117.31/116.67 tff(f703,plain,( 117.31/116.67 spl30_42 <=> 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)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 117.31/116.67 tff(f5376,plain,( 117.31/116.67 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_42 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5375,f4380])). 117.31/116.67 tff(f5375,plain,( 117.31/116.67 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_42 | ~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5374,f4675])). 117.31/116.67 tff(f5374,plain,( 117.31/116.67 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_42 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5373,f4286])). 117.31/116.67 tff(f5373,plain,( 117.31/116.67 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_42 | ~spl30_172 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5372,f4349])). 117.31/116.67 tff(f5372,plain,( 117.31/116.67 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_42 | ~spl30_172 | ~spl30_184)), 117.31/116.67 inference(forward_demodulation,[],[f5310,f4364])). 117.31/116.67 tff(f5310,plain,( 117.31/116.67 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_42 | ~spl30_172)), 117.31/116.67 inference(superposition,[],[f704,f4301])). 117.31/116.67 tff(f704,plain,( 117.31/116.67 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_42), 117.31/116.67 inference(avatar_component_clause,[],[f703])). 117.31/116.67 tff(f5371,plain,( 117.31/116.67 spl30_910 | ~spl30_22 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.67 inference(avatar_split_clause,[],[f5367,f4348,f4363,f4285,f4300,f4379,f4674,f636,f5369])). 117.31/116.67 tff(f5369,plain,( 117.31/116.67 spl30_910 <=> 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)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_910])])). 117.31/116.67 tff(f5367,plain,( 117.31/116.67 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_22 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5366,f4380])). 117.31/116.67 tff(f5366,plain,( 117.31/116.67 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_22 | ~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5365,f4675])). 117.31/116.67 tff(f5365,plain,( 117.31/116.67 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_22 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5364,f4286])). 117.31/116.67 tff(f5364,plain,( 117.31/116.67 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_22 | ~spl30_172 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5363,f4349])). 117.31/116.67 tff(f5363,plain,( 117.31/116.67 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_22 | ~spl30_172 | ~spl30_184)), 117.31/116.67 inference(forward_demodulation,[],[f5309,f4364])). 117.31/116.67 tff(f5309,plain,( 117.31/116.67 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_22 | ~spl30_172)), 117.31/116.67 inference(superposition,[],[f637,f4301])). 117.31/116.67 tff(f5362,plain,( 117.31/116.67 spl30_908 | ~spl30_24 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.67 inference(avatar_split_clause,[],[f5358,f4348,f4363,f4285,f4300,f4379,f4674,f612,f5360])). 117.31/116.67 tff(f5360,plain,( 117.31/116.67 spl30_908 <=> 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)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_908])])). 117.31/116.67 tff(f612,plain,( 117.31/116.67 spl30_24 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 117.31/116.67 tff(f5358,plain,( 117.31/116.67 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_24 | ~spl30_160 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5357,f4380])). 117.31/116.67 tff(f5357,plain,( 117.31/116.67 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_24 | ~spl30_160 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5356,f4675])). 117.31/116.67 tff(f5356,plain,( 117.31/116.67 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_24 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5355,f4286])). 117.31/116.67 tff(f5355,plain,( 117.31/116.67 valid_up_to1(mk_sudoku_chunks1(tb2t2(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_24 | ~spl30_172 | ~spl30_184 | ~spl30_186)), 117.31/116.67 inference(forward_demodulation,[],[f5354,f4349])). 117.31/116.67 tff(f5354,plain,( 117.31/116.67 valid_up_to1(mk_sudoku_chunks1(tb2t2(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_24 | ~spl30_172 | ~spl30_184)), 117.31/116.67 inference(forward_demodulation,[],[f5308,f4364])). 117.31/116.67 tff(f5308,plain,( 117.31/116.67 valid_up_to1(mk_sudoku_chunks1(tb2t2(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_24 | ~spl30_172)), 117.31/116.67 inference(superposition,[],[f613,f4301])). 117.31/116.67 tff(f613,plain,( 117.31/116.67 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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_24), 117.31/116.67 inference(avatar_component_clause,[],[f612])). 117.31/116.67 tff(f5254,plain,( 117.31/116.67 ~spl30_797 | spl30_906 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5245,f4312,f5252,f4788])). 117.31/116.67 tff(f5252,plain,( 117.31/116.67 spl30_906 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_906])])). 117.31/116.67 tff(f5245,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),0) | ~valid_values1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_796), 117.31/116.67 inference(superposition,[],[f4320,f391])). 117.31/116.67 tff(f391,plain,( 117.31/116.67 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X1),t2tb1(X2))) | ~is_index1(X2) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1) | ~included1(X0,X1)) )), 117.31/116.67 inference(cnf_transformation,[],[f197])). 117.31/116.67 tff(f4320,plain,( 117.31/116.67 ( ! [X3:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X3),t2tb1(9))),0) | ~valid_values1(X3)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4313,f362])). 117.31/116.67 tff(f362,plain,( 117.31/116.67 ( ! [X0:map_int_int,X1:$int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X1))),0) | ~is_index1(X1) | ~valid_values1(X0)) )), 117.31/116.67 inference(cnf_transformation,[],[f179])). 117.31/116.67 tff(f179,plain,( 117.31/116.67 ! [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)))))), 117.31/116.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f177,f178])). 117.31/116.67 tff(f178,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 introduced(choice_axiom,[])). 117.31/116.67 tff(f177,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(rectify,[],[f176])). 117.31/116.67 tff(f176,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(nnf_transformation,[],[f133])). 117.31/116.67 tff(f133,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(ennf_transformation,[],[f92])). 117.31/116.67 tff(f92,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(rectify,[],[f66])). 117.31/116.67 tff(f66,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(evaluation,[],[f53])). 117.31/116.67 tff(f53,axiom,( 117.31/116.67 ! [X1 : map_int_int] : (! [X2 : $int] : (is_index1(X2) => ($lesseq(0,tb2t1(get(int,int,t2tb(X1),t2tb1(X2)))) & $lesseq(tb2t1(get(int,int,t2tb(X1),t2tb1(X2))),9))) <=> valid_values1(X1))), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_values_def)). 117.31/116.67 tff(f5250,plain,( 117.31/116.67 ~spl30_797 | spl30_904 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5244,f4312,f5248,f4788])). 117.31/116.67 tff(f5248,plain,( 117.31/116.67 spl30_904 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~included1(X9,X8) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | ~valid_values1(X8))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_904])])). 117.31/116.67 tff(f5244,plain,( 117.31/116.67 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),0) | ~valid_values1(X8) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(9))),1) | ~included1(X9,X8)) ) | ~spl30_796), 117.31/116.67 inference(superposition,[],[f4320,f391])). 117.31/116.67 tff(f5225,plain,( 117.31/116.67 ~spl30_797 | spl30_902 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5217,f4312,f5223,f4788])). 117.31/116.67 tff(f5223,plain,( 117.31/116.67 spl30_902 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_902])])). 117.31/116.67 tff(f5217,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~valid_values1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_796), 117.31/116.67 inference(superposition,[],[f4319,f391])). 117.31/116.67 tff(f4319,plain,( 117.31/116.67 ( ! [X2:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X2),t2tb1(9)))) | ~valid_values1(X2)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4313,f361])). 117.31/116.67 tff(f361,plain,( 117.31/116.67 ( ! [X0:map_int_int,X1:$int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X1)))) | ~is_index1(X1) | ~valid_values1(X0)) )), 117.31/116.67 inference(cnf_transformation,[],[f179])). 117.31/116.67 tff(f5221,plain,( 117.31/116.67 ~spl30_797 | spl30_900 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5210,f4312,f5219,f4788])). 117.31/116.67 tff(f5219,plain,( 117.31/116.67 spl30_900 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_900])])). 117.31/116.67 tff(f5210,plain,( 117.31/116.67 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~included1(X0,X1)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4319,f391])). 117.31/116.67 tff(f5209,plain,( 117.31/116.67 ~spl30_797 | spl30_898 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5201,f4312,f5207,f4788])). 117.31/116.67 tff(f5207,plain,( 117.31/116.67 spl30_898 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_898])])). 117.31/116.67 tff(f5201,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(9)))) | ~full1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_796), 117.31/116.67 inference(superposition,[],[f4316,f391])). 117.31/116.67 tff(f4316,plain,( 117.31/116.67 ( ! [X1:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(9)))) | ~full1(X1)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4313,f346])). 117.31/116.67 tff(f346,plain,( 117.31/116.67 ( ! [X2:$int,X0:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(X2)))) | ~is_index1(X2) | ~full1(X0)) )), 117.31/116.67 inference(cnf_transformation,[],[f171])). 117.31/116.67 tff(f171,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f169,f170])). 117.31/116.67 tff(f170,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 introduced(choice_axiom,[])). 117.31/116.67 tff(f169,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 inference(rectify,[],[f168])). 117.31/116.67 tff(f168,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 inference(nnf_transformation,[],[f132])). 117.31/116.67 tff(f132,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 inference(ennf_transformation,[],[f90])). 117.31/116.67 tff(f90,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(rectify,[],[f64])). 117.31/116.67 tff(f64,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(evaluation,[],[f58])). 117.31/116.67 tff(f58,axiom,( 117.31/116.67 ! [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)))))))), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full_def)). 117.31/116.67 tff(f5205,plain,( 117.31/116.67 ~spl30_797 | spl30_896 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5194,f4312,f5203,f4788])). 117.31/116.67 tff(f5203,plain,( 117.31/116.67 spl30_896 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_896])])). 117.31/116.67 tff(f5194,plain,( 117.31/116.67 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~included1(X0,X1)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4316,f391])). 117.31/116.67 tff(f5193,plain,( 117.31/116.67 ~spl30_797 | spl30_894 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5184,f4312,f5191,f4788])). 117.31/116.67 tff(f5191,plain,( 117.31/116.67 spl30_894 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_894])])). 117.31/116.67 tff(f5184,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(9))),1) | ~full1(X10) | ~is_index1(9) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(9)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(9))),1) | ~included1(X10,X11)) ) | ~spl30_796), 117.31/116.67 inference(superposition,[],[f4315,f391])). 117.31/116.67 tff(f4315,plain,( 117.31/116.67 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(9))),1) | ~full1(X0)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4313,f345])). 117.31/116.67 tff(f345,plain,( 117.31/116.67 ( ! [X2:$int,X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(X2))),1) | ~is_index1(X2) | ~full1(X0)) )), 117.31/116.67 inference(cnf_transformation,[],[f171])). 117.31/116.67 tff(f5188,plain,( 117.31/116.67 ~spl30_797 | spl30_892 | ~spl30_796), 117.31/116.67 inference(avatar_split_clause,[],[f5177,f4312,f5186,f4788])). 117.31/116.67 tff(f5186,plain,( 117.31/116.67 spl30_892 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_892])])). 117.31/116.67 tff(f5177,plain,( 117.31/116.67 ( ! [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) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1(9)))) | ~included1(X0,X1)) ) | ~spl30_796), 117.31/116.67 inference(resolution,[],[f4315,f391])). 117.31/116.67 tff(f5176,plain,( 117.31/116.67 ~spl30_19 | spl30_890 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5167,f2846,f5174,f602])). 117.31/116.67 tff(f5174,plain,( 117.31/116.67 spl30_890 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_890])])). 117.31/116.67 tff(f5167,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),0) | ~valid_values1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_18), 117.31/116.67 inference(superposition,[],[f2856,f391])). 117.31/116.67 tff(f2856,plain,( 117.31/116.67 ( ! [X3:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X3),t2tb1(sK14))),0) | ~valid_values1(X3)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2847,f362])). 117.31/116.67 tff(f5172,plain,( 117.31/116.67 ~spl30_19 | spl30_888 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5166,f2846,f5170,f602])). 117.31/116.67 tff(f5170,plain,( 117.31/116.67 spl30_888 <=> ! [X9 : map_int_int,X8 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~included1(X9,X8) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | ~valid_values1(X8))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_888])])). 117.31/116.67 tff(f5166,plain,( 117.31/116.67 ( ! [X8:map_int_int,X9:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),0) | ~valid_values1(X8) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X9),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X9),t2tb1(sK14))),1) | ~included1(X9,X8)) ) | ~spl30_18), 117.31/116.67 inference(superposition,[],[f2856,f391])). 117.31/116.67 tff(f5146,plain,( 117.31/116.67 ~spl30_19 | spl30_886 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5138,f2846,f5144,f602])). 117.31/116.67 tff(f5144,plain,( 117.31/116.67 spl30_886 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~valid_values1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_886])])). 117.31/116.67 tff(f5138,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~valid_values1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_18), 117.31/116.67 inference(superposition,[],[f2855,f391])). 117.31/116.67 tff(f2855,plain,( 117.31/116.67 ( ! [X2:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X2),t2tb1(sK14)))) | ~valid_values1(X2)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2847,f361])). 117.31/116.67 tff(f5142,plain,( 117.31/116.67 ~spl30_19 | spl30_884 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5131,f2846,f5140,f602])). 117.31/116.67 tff(f5140,plain,( 117.31/116.67 spl30_884 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_884])])). 117.31/116.67 tff(f5131,plain,( 117.31/116.67 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2855,f391])). 117.31/116.67 tff(f5130,plain,( 117.31/116.67 ~spl30_19 | spl30_882 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5122,f2846,f5128,f602])). 117.31/116.67 tff(f5128,plain,( 117.31/116.67 spl30_882 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_882])])). 117.31/116.67 tff(f5122,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X11),t2tb1(sK14)))) | ~full1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_18), 117.31/116.67 inference(superposition,[],[f2852,f391])). 117.31/116.67 tff(f2852,plain,( 117.31/116.67 ( ! [X1:map_int_int] : (~$less(9,tb2t1(get(int,int,t2tb(X1),t2tb1(sK14)))) | ~full1(X1)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2847,f346])). 117.31/116.67 tff(f5126,plain,( 117.31/116.67 ~spl30_19 | spl30_880 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5115,f2846,f5124,f602])). 117.31/116.67 tff(f5124,plain,( 117.31/116.67 spl30_880 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_880])])). 117.31/116.67 tff(f5115,plain,( 117.31/116.67 ( ! [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) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~included1(X0,X1)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2852,f391])). 117.31/116.67 tff(f5114,plain,( 117.31/116.67 ~spl30_19 | spl30_878 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5105,f2846,f5112,f602])). 117.31/116.67 tff(f5112,plain,( 117.31/116.67 spl30_878 <=> ! [X11 : map_int_int,X10 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | ~full1(X10) | ~included1(X10,X11) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_878])])). 117.31/116.67 tff(f5105,plain,( 117.31/116.67 ( ! [X10:map_int_int,X11:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))),1) | ~full1(X10) | ~is_index1(sK14) | $less(9,tb2t1(get(int,int,t2tb(X10),t2tb1(sK14)))) | $less(tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))),1) | ~included1(X10,X11)) ) | ~spl30_18), 117.31/116.67 inference(superposition,[],[f2851,f391])). 117.31/116.67 tff(f2851,plain,( 117.31/116.67 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X0),t2tb1(sK14))),1) | ~full1(X0)) ) | ~spl30_18), 117.31/116.67 inference(resolution,[],[f2847,f345])). 117.31/116.67 tff(f5109,plain,( 117.31/116.67 ~spl30_19 | spl30_876 | ~spl30_18), 117.31/116.67 inference(avatar_split_clause,[],[f5098,f2846,f5107,f602])). 117.31/116.67 tff(f5107,plain,( 117.31/116.67 spl30_876 <=> ! [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))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_876])])). 117.31/116.67 tff(f5098,plain,( 117.31/116.67 ( ! [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_18), 117.31/116.67 inference(resolution,[],[f2851,f391])). 117.31/116.67 tff(f5040,plain,( 117.31/116.67 spl30_866 | spl30_874 | ~spl30_306), 117.31/116.67 inference(avatar_split_clause,[],[f5014,f1606,f5038,f5021])). 117.31/116.67 tff(f5021,plain,( 117.31/116.67 spl30_866 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_866])])). 117.31/116.67 tff(f5038,plain,( 117.31/116.67 spl30_874 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | ~valid_up_to1(X17,X18,1))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_874])])). 117.31/116.67 tff(f1606,plain,( 117.31/116.67 spl30_306 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_306])])). 117.31/116.67 tff(f5014,plain,( 117.31/116.67 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0) | ~valid_up_to1(X17,X18,1)) ) | ~spl30_306), 117.31/116.67 inference(resolution,[],[f1607,f419])). 117.31/116.67 tff(f419,plain,( 117.31/116.67 ( ! [X2:$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)) )), 117.31/116.67 inference(cnf_transformation,[],[f206])). 117.31/116.67 tff(f206,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f204,f205])). 117.31/116.67 tff(f205,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 introduced(choice_axiom,[])). 117.31/116.67 tff(f204,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(rectify,[],[f203])). 117.31/116.67 tff(f203,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(nnf_transformation,[],[f151])). 117.31/116.67 tff(f151,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(flattening,[],[f150])). 117.31/116.67 tff(f150,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(ennf_transformation,[],[f71])). 117.31/116.67 tff(f71,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(evaluation,[],[f1])). 117.31/116.67 tff(f1,axiom,( 117.31/116.67 ! [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))), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_up_to_def)). 117.31/116.67 tff(f1607,plain,( 117.31/116.67 $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1) | ~spl30_306), 117.31/116.67 inference(avatar_component_clause,[],[f1606])). 117.31/116.67 tff(f5036,plain,( 117.31/116.67 spl30_866 | spl30_872 | ~spl30_306), 117.31/116.67 inference(avatar_split_clause,[],[f5013,f1606,f5034,f5021])). 117.31/116.67 tff(f5034,plain,( 117.31/116.67 spl30_872 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | ~valid_up_to1(X15,X16,1))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_872])])). 117.31/116.67 tff(f5013,plain,( 117.31/116.67 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0) | ~valid_up_to1(X15,X16,1)) ) | ~spl30_306), 117.31/116.67 inference(resolution,[],[f1607,f418])). 117.31/116.67 tff(f418,plain,( 117.31/116.67 ( ! [X2:$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)) )), 117.31/116.67 inference(cnf_transformation,[],[f206])). 117.31/116.67 tff(f5032,plain,( 117.31/116.67 spl30_866 | spl30_870 | ~spl30_306), 117.31/116.67 inference(avatar_split_clause,[],[f5012,f1606,f5030,f5021])). 117.31/116.67 tff(f5030,plain,( 117.31/116.67 spl30_870 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | ~valid_up_to1(X13,X14,1))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_870])])). 117.31/116.67 tff(f5012,plain,( 117.31/116.67 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0) | ~valid_up_to1(X13,X14,1)) ) | ~spl30_306), 117.31/116.67 inference(resolution,[],[f1607,f417])). 117.31/116.67 tff(f417,plain,( 117.31/116.67 ( ! [X2:$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)) )), 117.31/116.67 inference(cnf_transformation,[],[f206])). 117.31/116.67 tff(f5027,plain,( 117.31/116.67 spl30_866 | spl30_868 | ~spl30_306), 117.31/116.67 inference(avatar_split_clause,[],[f5010,f1606,f5024,f5021])). 117.31/116.67 tff(f5024,plain,( 117.31/116.67 spl30_868 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))) | ~valid_chunk_up_to1(X0,X2,X1,X3,1) | tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))) = X4 | ~$less(X4,1) | $less(X4,0) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))),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))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_868])])). 117.31/116.67 tff(f5010,plain,( 117.31/116.67 ( ! [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),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($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(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0) | $less(X9,0) | tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))) = X9 | ~$less(X9,1) | ~valid_chunk_up_to1(X5,X7,X6,X8,1)) ) | ~spl30_306), 117.31/116.67 inference(resolution,[],[f1607,f453])). 117.31/116.67 tff(f453,plain,( 117.31/116.67 ( ! [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)) )), 117.31/116.67 inference(cnf_transformation,[],[f218])). 117.31/116.67 tff(f218,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f216,f217])). 117.31/116.67 tff(f217,plain,( 117.31/116.67 ! [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)))), 117.31/116.67 introduced(choice_axiom,[])). 117.31/116.67 tff(f216,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(rectify,[],[f215])). 117.31/116.67 tff(f215,plain,( 117.31/116.67 ! [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))))), 117.31/116.67 inference(nnf_transformation,[],[f162])). 117.31/116.67 tff(f162,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(flattening,[],[f161])). 117.31/116.67 tff(f161,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(ennf_transformation,[],[f122])). 117.31/116.67 tff(f122,plain,( 117.31/116.67 ! [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))), 117.31/116.67 inference(rectify,[],[f75])). 117.31/116.67 tff(f75,plain,( 117.31/116.67 ! [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),X38)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) <=> valid_chunk_up_to1(X1,X2,X10,X11,X37))), 117.31/116.67 inference(evaluation,[],[f15])). 117.31/116.67 tff(f15,axiom,( 117.31/116.67 ! [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($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X38)))))) != tb2t1(get(int,int,t2tb(X1),t2tb1($sum(tb2t1(get2(int,t2tb2(X10),X2)),tb2t1(get2(int,t2tb2(X11),X39)))))))) <=> valid_chunk_up_to1(X1,X2,X10,X11,X37))), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',valid_chunk_up_to_def)). 117.31/116.67 tff(f5026,plain,( 117.31/116.67 spl30_866 | spl30_868 | ~spl30_306), 117.31/116.67 inference(avatar_split_clause,[],[f5009,f1606,f5024,f5021])). 117.31/116.67 tff(f5009,plain,( 117.31/116.67 ( ! [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),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))))))))) | $less(X4,0) | ~$less(X4,1) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),0) | tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))) = X4 | ~valid_chunk_up_to1(X0,X2,X1,X3,1)) ) | ~spl30_306), 117.31/116.67 inference(resolution,[],[f1607,f453])). 117.31/116.67 tff(f4945,plain,( 117.31/116.67 spl30_865), 117.31/116.67 inference(avatar_contradiction_clause,[],[f4944])). 117.31/116.67 tff(f4944,plain,( 117.31/116.67 $false | ~spl30_865), 117.31/116.67 inference(evaluation,[],[f4943])). 117.31/116.67 tff(f4943,plain,( 117.31/116.67 $less(80,0) | ~$less(80,81) | ~spl30_865), 117.31/116.67 inference(resolution,[],[f4937,f356])). 117.31/116.67 tff(f4937,plain,( 117.31/116.67 ~is_index1(80) | ~spl30_865), 117.31/116.67 inference(avatar_component_clause,[],[f4936])). 117.31/116.67 tff(f4936,plain,( 117.31/116.67 spl30_865 <=> ~is_index1(80)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_865])])). 117.31/116.67 tff(f4942,plain,( 117.31/116.67 spl30_864 | ~spl30_636), 117.31/116.67 inference(avatar_split_clause,[],[f4933,f3137,f4940])). 117.31/116.67 tff(f4940,plain,( 117.31/116.67 spl30_864 <=> is_index1(80)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_864])])). 117.31/116.67 tff(f3137,plain,( 117.31/116.67 spl30_636 <=> ! [X9 : $int] : (~$less(80,X9) | $less(81,X9) | $less(X9,0))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_636])])). 117.31/116.67 tff(f4933,plain,( 117.31/116.67 is_index1(80) | ~spl30_636), 117.31/116.67 inference(evaluation,[],[f4910])). 117.31/116.67 tff(f4910,plain,( 117.31/116.67 $less(81,0) | $less(0,0) | is_index1(80) | ~$less(80,81) | ~spl30_636), 117.31/116.67 inference(resolution,[],[f3138,f356])). 117.31/116.67 tff(f3138,plain,( 117.31/116.67 ( ! [X9:$int] : (~$less(80,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_636), 117.31/116.67 inference(avatar_component_clause,[],[f3137])). 117.31/116.67 tff(f4938,plain,( 117.31/116.67 ~spl30_865 | ~spl30_636), 117.31/116.67 inference(avatar_split_clause,[],[f4934,f3137,f4936])). 117.31/116.67 tff(f4934,plain,( 117.31/116.67 ~is_index1(80) | ~spl30_636), 117.31/116.67 inference(evaluation,[],[f4909])). 117.31/116.67 tff(f4909,plain,( 117.31/116.67 $less(81,81) | $less(81,0) | ~is_index1(80) | ~spl30_636), 117.31/116.67 inference(resolution,[],[f3138,f357])). 117.31/116.67 tff(f4908,plain,( 117.31/116.67 ~spl30_48 | ~spl30_496), 117.31/116.67 inference(avatar_contradiction_clause,[],[f4907])). 117.31/116.67 tff(f4907,plain,( 117.31/116.67 $false | (~spl30_48 | ~spl30_496)), 117.31/116.67 inference(evaluation,[],[f4876])). 117.31/116.67 tff(f4876,plain,( 117.31/116.67 $less(81,81) | $less(81,0) | (~spl30_48 | ~spl30_496)), 117.31/116.67 inference(resolution,[],[f2580,f2866])). 117.31/116.67 tff(f2866,plain,( 117.31/116.67 $less(sK14,81) | ~spl30_48), 117.31/116.67 inference(avatar_component_clause,[],[f2865])). 117.31/116.67 tff(f2865,plain,( 117.31/116.67 spl30_48 <=> $less(sK14,81)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 117.31/116.67 tff(f2580,plain,( 117.31/116.67 ( ! [X9:$int] : (~$less(sK14,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_496), 117.31/116.67 inference(avatar_component_clause,[],[f2579])). 117.31/116.67 tff(f2579,plain,( 117.31/116.67 spl30_496 <=> ! [X9 : $int] : (~$less(sK14,X9) | $less(81,X9) | $less(X9,0))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_496])])). 117.31/116.67 tff(f4868,plain,( 117.31/116.67 ~spl30_797 | ~spl30_160 | ~spl30_492), 117.31/116.67 inference(avatar_split_clause,[],[f4867,f2567,f4674,f4788])). 117.31/116.67 tff(f2567,plain,( 117.31/116.67 spl30_492 <=> ! [X9 : $int] : (~$less(sK2,X9) | $less(81,X9) | $less(X9,0))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_492])])). 117.31/116.67 tff(f4867,plain,( 117.31/116.67 ~is_index1(9) | (~spl30_160 | ~spl30_492)), 117.31/116.67 inference(forward_demodulation,[],[f4866,f4675])). 117.31/116.67 tff(f4866,plain,( 117.31/116.67 ~is_index1(sK2) | ~spl30_492), 117.31/116.67 inference(evaluation,[],[f4837])). 117.31/116.67 tff(f4837,plain,( 117.31/116.67 $less(81,81) | $less(81,0) | ~is_index1(sK2) | ~spl30_492), 117.31/116.67 inference(resolution,[],[f2568,f357])). 117.31/116.67 tff(f2568,plain,( 117.31/116.67 ( ! [X9:$int] : (~$less(sK2,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_492), 117.31/116.67 inference(avatar_component_clause,[],[f2567])). 117.31/116.67 tff(f4829,plain,( 117.31/116.67 ~spl30_797 | ~spl30_172 | ~spl30_488), 117.31/116.67 inference(avatar_split_clause,[],[f4828,f2555,f4300,f4788])). 117.31/116.67 tff(f2555,plain,( 117.31/116.67 spl30_488 <=> ! [X9 : $int] : (~$less(sK6,X9) | $less(81,X9) | $less(X9,0))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_488])])). 117.31/116.67 tff(f4828,plain,( 117.31/116.67 ~is_index1(9) | (~spl30_172 | ~spl30_488)), 117.31/116.67 inference(forward_demodulation,[],[f4827,f4301])). 117.31/116.67 tff(f4827,plain,( 117.31/116.67 ~is_index1(sK6) | ~spl30_488), 117.31/116.67 inference(evaluation,[],[f4798])). 117.31/116.67 tff(f4798,plain,( 117.31/116.67 $less(81,81) | $less(81,0) | ~is_index1(sK6) | ~spl30_488), 117.31/116.67 inference(resolution,[],[f2556,f357])). 117.31/116.67 tff(f2556,plain,( 117.31/116.67 ( ! [X9:$int] : (~$less(sK6,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_488), 117.31/116.67 inference(avatar_component_clause,[],[f2555])). 117.31/116.67 tff(f4790,plain,( 117.31/116.67 ~spl30_797 | ~spl30_184 | ~spl30_484), 117.31/116.67 inference(avatar_split_clause,[],[f4786,f2539,f4363,f4788])). 117.31/116.67 tff(f2539,plain,( 117.31/116.67 spl30_484 <=> ! [X9 : $int] : (~$less(sK10,X9) | $less(81,X9) | $less(X9,0))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_484])])). 117.31/116.67 tff(f4786,plain,( 117.31/116.67 ~is_index1(9) | (~spl30_184 | ~spl30_484)), 117.31/116.67 inference(forward_demodulation,[],[f4785,f4364])). 117.31/116.67 tff(f4785,plain,( 117.31/116.67 ~is_index1(sK10) | ~spl30_484), 117.31/116.67 inference(evaluation,[],[f4756])). 117.31/116.67 tff(f4756,plain,( 117.31/116.67 $less(81,81) | $less(81,0) | ~is_index1(sK10) | ~spl30_484), 117.31/116.67 inference(resolution,[],[f2540,f357])). 117.31/116.67 tff(f2540,plain,( 117.31/116.67 ( ! [X9:$int] : (~$less(sK10,X9) | $less(81,X9) | $less(X9,0)) ) | ~spl30_484), 117.31/116.67 inference(avatar_component_clause,[],[f2539])). 117.31/116.67 tff(f4681,plain,( 117.31/116.67 spl30_862 | ~spl30_342), 117.31/116.67 inference(avatar_split_clause,[],[f4672,f2071,f4679])). 117.31/116.67 tff(f4679,plain,( 117.31/116.67 spl30_862 <=> mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_862])])). 117.31/116.67 tff(f2071,plain,( 117.31/116.67 spl30_342 <=> length1(int,mk_array1(int,sK2,t2tb(sK3))) = 9), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_342])])). 117.31/116.67 tff(f4672,plain,( 117.31/116.67 mk_array1(int,sK2,t2tb(sK3)) = mk_array1(int,9,elts(int,mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_342), 117.31/116.67 inference(superposition,[],[f364,f2072])). 117.31/116.67 tff(f2072,plain,( 117.31/116.67 length1(int,mk_array1(int,sK2,t2tb(sK3))) = 9 | ~spl30_342), 117.31/116.67 inference(avatar_component_clause,[],[f2071])). 117.31/116.67 tff(f364,plain,( 117.31/116.67 ( ! [X0:ty,X1:uni] : (mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1) )), 117.31/116.67 inference(cnf_transformation,[],[f94])). 117.31/116.67 tff(f94,plain,( 117.31/116.67 ! [X0 : ty,X1 : uni] : mk_array1(X0,length1(X0,X1),elts(X0,X1)) = X1), 117.31/116.67 inference(rectify,[],[f56])). 117.31/116.67 tff(f56,axiom,( 117.31/116.67 ! [X16 : ty,X4 : uni] : mk_array1(X16,length1(X16,X4),elts(X16,X4)) = X4), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',array_inversion1)). 117.31/116.67 tff(f4677,plain,( 117.31/116.67 spl30_160 | ~spl30_342), 117.31/116.67 inference(avatar_split_clause,[],[f4670,f2071,f4674])). 117.31/116.67 tff(f4670,plain,( 117.31/116.67 9 = sK2 | ~spl30_342), 117.31/116.67 inference(superposition,[],[f395,f2072])). 117.31/116.67 tff(f395,plain,( 117.31/116.67 ( ! [X2:uni,X0:ty,X1:$int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 117.31/116.67 inference(cnf_transformation,[],[f102])). 117.31/116.67 tff(f102,plain,( 117.31/116.67 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 117.31/116.67 inference(rectify,[],[f49])). 117.31/116.67 tff(f49,axiom,( 117.31/116.67 ! [X16 : ty,X4 : $int,X5 : uni] : length1(X16,mk_array1(X16,X4,X5)) = X4), 117.31/116.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def1)). 117.31/116.67 tff(f4676,plain,( 117.31/116.67 spl30_160 | ~spl30_342), 117.31/116.67 inference(avatar_split_clause,[],[f4669,f2071,f4674])). 117.31/116.67 tff(f4669,plain,( 117.31/116.67 9 = sK2 | ~spl30_342), 117.31/116.67 inference(superposition,[],[f2072,f395])). 117.31/116.67 tff(f4654,plain,( 117.31/116.67 ~spl30_861 | spl30_71 | ~spl30_174), 117.31/116.67 inference(avatar_split_clause,[],[f4429,f4285,f1663,f4652])). 117.31/116.67 tff(f4652,plain,( 117.31/116.67 spl30_861 <=> ~is_index1(81)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_861])])). 117.31/116.67 tff(f1663,plain,( 117.31/116.67 spl30_71 <=> ~is_index1(sK4)), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 117.31/116.67 tff(f4429,plain,( 117.31/116.67 ~is_index1(81) | (~spl30_71 | ~spl30_174)), 117.31/116.67 inference(superposition,[],[f1664,f4286])). 117.31/116.67 tff(f1664,plain,( 117.31/116.67 ~is_index1(sK4) | ~spl30_71), 117.31/116.67 inference(avatar_component_clause,[],[f1663])). 117.31/116.67 tff(f4650,plain,( 117.31/116.67 ~spl30_859 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_319), 117.31/116.67 inference(avatar_split_clause,[],[f4646,f1633,f4348,f4363,f4285,f4300,f4379,f4648])). 117.31/116.67 tff(f4648,plain,( 117.31/116.67 spl30_859 <=> ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_859])])). 117.31/116.67 tff(f4646,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.67 inference(forward_demodulation,[],[f4645,f4380])). 117.31/116.67 tff(f4645,plain,( 117.31/116.67 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.67 inference(forward_demodulation,[],[f4644,f4301])). 117.31/116.67 tff(f4644,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_319)), 117.31/116.67 inference(forward_demodulation,[],[f4643,f4349])). 117.31/116.67 tff(f4643,plain,( 117.31/116.67 ~valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_319)), 117.31/116.67 inference(forward_demodulation,[],[f4428,f4364])). 117.31/116.67 tff(f4428,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_174 | ~spl30_319)), 117.31/116.67 inference(superposition,[],[f1634,f4286])). 117.31/116.67 tff(f4642,plain,( 117.31/116.67 ~spl30_857 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_317), 117.31/116.67 inference(avatar_split_clause,[],[f4638,f1630,f4348,f4363,f4285,f4300,f4379,f4640])). 117.31/116.67 tff(f4640,plain,( 117.31/116.67 spl30_857 <=> ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_857])])). 117.31/116.67 tff(f4638,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.67 inference(forward_demodulation,[],[f4637,f4380])). 117.31/116.67 tff(f4637,plain,( 117.31/116.67 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.67 inference(forward_demodulation,[],[f4636,f4301])). 117.31/116.67 tff(f4636,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_317)), 117.31/116.67 inference(forward_demodulation,[],[f4635,f4349])). 117.31/116.67 tff(f4635,plain,( 117.31/116.67 ~valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_317)), 117.31/116.67 inference(forward_demodulation,[],[f4427,f4364])). 117.31/116.67 tff(f4427,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_174 | ~spl30_317)), 117.31/116.67 inference(superposition,[],[f1631,f4286])). 117.31/116.67 tff(f4634,plain,( 117.31/116.67 ~spl30_855 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_315), 117.31/116.67 inference(avatar_split_clause,[],[f4630,f1627,f4348,f4363,f4285,f4300,f4379,f4632])). 117.31/116.67 tff(f4632,plain,( 117.31/116.67 spl30_855 <=> ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.31/116.67 introduced(avatar_definition,[new_symbols(naming,[spl30_855])])). 117.31/116.67 tff(f4630,plain,( 117.31/116.67 ~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,$sum(sK14,1))) | (~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.67 inference(forward_demodulation,[],[f4629,f4380])). 117.31/116.67 tff(f4629,plain,( 117.31/116.67 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.67 inference(forward_demodulation,[],[f4628,f4301])). 117.31/116.68 tff(f4628,plain,( 117.31/116.68 ~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,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_315)), 117.31/116.68 inference(forward_demodulation,[],[f4627,f4349])). 117.31/116.68 tff(f4627,plain,( 117.31/116.68 ~valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1))) | (~spl30_174 | ~spl30_184 | ~spl30_315)), 117.31/116.68 inference(forward_demodulation,[],[f4426,f4364])). 117.31/116.68 tff(f4426,plain,( 117.31/116.68 ~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_174 | ~spl30_315)), 117.31/116.68 inference(superposition,[],[f1628,f4286])). 117.31/116.68 tff(f4626,plain,( 117.31/116.68 spl30_852 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310), 117.31/116.68 inference(avatar_split_clause,[],[f4622,f1619,f4348,f4363,f4285,f4300,f4379,f4624])). 117.31/116.68 tff(f4624,plain,( 117.31/116.68 spl30_852 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_852])])). 117.31/116.68 tff(f4622,plain,( 117.31/116.68 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.68 inference(forward_demodulation,[],[f4621,f4380])). 117.31/116.68 tff(f4621,plain,( 117.31/116.68 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.68 inference(forward_demodulation,[],[f4620,f4301])). 117.31/116.68 tff(f4620,plain,( 117.31/116.68 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_310)), 117.31/116.68 inference(forward_demodulation,[],[f4619,f4349])). 117.31/116.68 tff(f4619,plain,( 117.31/116.68 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_174 | ~spl30_184 | ~spl30_310)), 117.31/116.68 inference(forward_demodulation,[],[f4425,f4364])). 117.31/116.68 tff(f4425,plain,( 117.31/116.68 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | (~spl30_174 | ~spl30_310)), 117.31/116.68 inference(superposition,[],[f1620,f4286])). 117.31/116.68 tff(f4618,plain,( 117.31/116.68 ~spl30_851 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_283), 117.31/116.68 inference(avatar_split_clause,[],[f4614,f1536,f4348,f4363,f4285,f4300,f4379,f4616])). 117.31/116.68 tff(f4616,plain,( 117.31/116.68 spl30_851 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_851])])). 117.31/116.68 tff(f4614,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.68 inference(forward_demodulation,[],[f4613,f4380])). 117.31/116.68 tff(f4613,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.68 inference(forward_demodulation,[],[f4612,f4301])). 117.31/116.68 tff(f4612,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_283)), 117.31/116.68 inference(forward_demodulation,[],[f4611,f4349])). 117.31/116.68 tff(f4611,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_283)), 117.31/116.68 inference(forward_demodulation,[],[f4424,f4364])). 117.31/116.68 tff(f4424,plain,( 117.31/116.68 ~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_174 | ~spl30_283)), 117.31/116.68 inference(superposition,[],[f1537,f4286])). 117.31/116.68 tff(f4610,plain,( 117.31/116.68 ~spl30_849 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_281), 117.31/116.68 inference(avatar_split_clause,[],[f4606,f1533,f4348,f4363,f4285,f4300,f4379,f4608])). 117.31/116.68 tff(f4608,plain,( 117.31/116.68 spl30_849 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_849])])). 117.31/116.68 tff(f4606,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.68 inference(forward_demodulation,[],[f4605,f4380])). 117.31/116.68 tff(f4605,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.68 inference(forward_demodulation,[],[f4604,f4301])). 117.31/116.68 tff(f4604,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_281)), 117.31/116.68 inference(forward_demodulation,[],[f4603,f4349])). 117.31/116.68 tff(f4603,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_281)), 117.31/116.68 inference(forward_demodulation,[],[f4423,f4364])). 117.31/116.68 tff(f4423,plain,( 117.31/116.68 ~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_174 | ~spl30_281)), 117.31/116.68 inference(superposition,[],[f1534,f4286])). 117.31/116.68 tff(f4602,plain,( 117.31/116.68 ~spl30_847 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_279), 117.31/116.68 inference(avatar_split_clause,[],[f4598,f1530,f4348,f4363,f4285,f4300,f4379,f4600])). 117.31/116.68 tff(f4600,plain,( 117.31/116.68 spl30_847 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_847])])). 117.31/116.68 tff(f4598,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.68 inference(forward_demodulation,[],[f4597,f4380])). 117.31/116.68 tff(f4597,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.68 inference(forward_demodulation,[],[f4596,f4301])). 117.31/116.68 tff(f4596,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_279)), 117.31/116.68 inference(forward_demodulation,[],[f4595,f4349])). 117.31/116.68 tff(f4595,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_279)), 117.31/116.68 inference(forward_demodulation,[],[f4422,f4364])). 117.31/116.68 tff(f4422,plain,( 117.31/116.68 ~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_174 | ~spl30_279)), 117.31/116.68 inference(superposition,[],[f1531,f4286])). 117.31/116.68 tff(f4594,plain,( 117.31/116.68 ~spl30_845 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f4590,f1526,f4348,f4363,f4285,f4300,f4379,f4592])). 117.31/116.68 tff(f4592,plain,( 117.31/116.68 spl30_845 <=> ~$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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_845])])). 117.31/116.68 tff(f4590,plain,( 117.31/116.68 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,81,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.68 inference(forward_demodulation,[],[f4589,f4380])). 117.31/116.68 tff(f4589,plain,( 117.31/116.68 ~$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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.68 inference(forward_demodulation,[],[f4588,f4301])). 117.31/116.68 tff(f4588,plain,( 117.31/116.68 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,81,t2tb(sK9))),tb2t2(mk_array1(int,9,t2tb(sK11)))),sK13,0),0) | (~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_277)), 117.31/116.68 inference(forward_demodulation,[],[f4587,f4349])). 117.31/116.68 tff(f4587,plain,( 117.31/116.68 ~$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_174 | ~spl30_184 | ~spl30_277)), 117.31/116.68 inference(forward_demodulation,[],[f4421,f4364])). 117.31/116.68 tff(f4421,plain,( 117.31/116.68 ~$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_174 | ~spl30_277)), 117.31/116.68 inference(superposition,[],[f1527,f4286])). 117.31/116.68 tff(f4566,plain,( 117.31/116.68 ~spl30_843 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_269), 117.31/116.68 inference(avatar_split_clause,[],[f4562,f1499,f4348,f4363,f4285,f4300,f4379,f4564])). 117.31/116.68 tff(f4564,plain,( 117.31/116.68 spl30_843 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_843])])). 117.31/116.68 tff(f4562,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.68 inference(forward_demodulation,[],[f4561,f4380])). 117.31/116.68 tff(f4561,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.68 inference(forward_demodulation,[],[f4560,f4301])). 117.31/116.68 tff(f4560,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_269)), 117.31/116.68 inference(forward_demodulation,[],[f4559,f4349])). 117.31/116.68 tff(f4559,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_269)), 117.31/116.68 inference(forward_demodulation,[],[f4415,f4364])). 117.31/116.68 tff(f4415,plain,( 117.31/116.68 ~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_174 | ~spl30_269)), 117.31/116.68 inference(superposition,[],[f1500,f4286])). 117.31/116.68 tff(f4558,plain,( 117.31/116.68 ~spl30_841 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_267), 117.31/116.68 inference(avatar_split_clause,[],[f4554,f1496,f4348,f4363,f4285,f4300,f4379,f4556])). 117.31/116.68 tff(f4556,plain,( 117.31/116.68 spl30_841 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_841])])). 117.31/116.68 tff(f4554,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.68 inference(forward_demodulation,[],[f4553,f4380])). 117.31/116.68 tff(f4553,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.68 inference(forward_demodulation,[],[f4552,f4301])). 117.31/116.68 tff(f4552,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_267)), 117.31/116.68 inference(forward_demodulation,[],[f4551,f4349])). 117.31/116.68 tff(f4551,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_267)), 117.31/116.68 inference(forward_demodulation,[],[f4414,f4364])). 117.31/116.68 tff(f4414,plain,( 117.31/116.68 ~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_174 | ~spl30_267)), 117.31/116.68 inference(superposition,[],[f1497,f4286])). 117.31/116.68 tff(f4550,plain,( 117.31/116.68 ~spl30_839 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | spl30_265), 117.31/116.68 inference(avatar_split_clause,[],[f4546,f1493,f4348,f4363,f4285,f4300,f4379,f4548])). 117.31/116.68 tff(f4548,plain,( 117.31/116.68 spl30_839 <=> ~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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_839])])). 117.31/116.68 tff(f4546,plain,( 117.31/116.68 ~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_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.68 inference(forward_demodulation,[],[f4545,f4380])). 117.31/116.68 tff(f4545,plain,( 117.31/116.68 ~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_172 | ~spl30_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.68 inference(forward_demodulation,[],[f4544,f4301])). 117.31/116.68 tff(f4544,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_186 | ~spl30_265)), 117.31/116.68 inference(forward_demodulation,[],[f4543,f4349])). 117.31/116.68 tff(f4543,plain,( 117.31/116.68 ~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_174 | ~spl30_184 | ~spl30_265)), 117.31/116.68 inference(forward_demodulation,[],[f4413,f4364])). 117.31/116.68 tff(f4413,plain,( 117.31/116.68 ~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_174 | ~spl30_265)), 117.31/116.68 inference(superposition,[],[f1494,f4286])). 117.31/116.68 tff(f4542,plain,( 117.31/116.68 spl30_836 | ~spl30_172 | ~spl30_174 | ~spl30_256), 117.31/116.68 inference(avatar_split_clause,[],[f4538,f1462,f4285,f4300,f4540])). 117.31/116.68 tff(f4540,plain,( 117.31/116.68 spl30_836 <=> disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_836])])). 117.31/116.68 tff(f1462,plain,( 117.31/116.68 spl30_256 <=> disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_256])])). 117.31/116.68 tff(f4538,plain,( 117.31/116.68 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_172 | ~spl30_174 | ~spl30_256)), 117.31/116.68 inference(forward_demodulation,[],[f4412,f4301])). 117.31/116.68 tff(f4412,plain,( 117.31/116.68 disjoint_chunks1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_174 | ~spl30_256)), 117.31/116.68 inference(superposition,[],[f1463,f4286])). 117.31/116.68 tff(f1463,plain,( 117.31/116.68 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_256), 117.31/116.68 inference(avatar_component_clause,[],[f1462])). 117.31/116.68 tff(f4537,plain,( 117.31/116.68 spl30_834 | ~spl30_6 | ~spl30_172 | ~spl30_174), 117.31/116.68 inference(avatar_split_clause,[],[f4533,f4285,f4300,f1444,f4535])). 117.31/116.68 tff(f4535,plain,( 117.31/116.68 spl30_834 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_834])])). 117.31/116.68 tff(f1444,plain,( 117.31/116.68 spl30_6 <=> chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 117.31/116.68 tff(f4533,plain,( 117.31/116.68 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_6 | ~spl30_172 | ~spl30_174)), 117.31/116.68 inference(forward_demodulation,[],[f4411,f4301])). 117.31/116.68 tff(f4411,plain,( 117.31/116.68 chunk_valid_indexes1(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_6 | ~spl30_174)), 117.31/116.68 inference(superposition,[],[f1445,f4286])). 117.31/116.68 tff(f1445,plain,( 117.31/116.68 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_6), 117.31/116.68 inference(avatar_component_clause,[],[f1444])). 117.31/116.68 tff(f4523,plain,( 117.31/116.68 spl30_832 | ~spl30_172 | ~spl30_174 | ~spl30_252), 117.31/116.68 inference(avatar_split_clause,[],[f4519,f1388,f4285,f4300,f4521])). 117.31/116.68 tff(f4521,plain,( 117.31/116.68 spl30_832 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_832])])). 117.31/116.68 tff(f1388,plain,( 117.31/116.68 spl30_252 <=> tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_252])])). 117.31/116.68 tff(f4519,plain,( 117.31/116.68 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))) | (~spl30_172 | ~spl30_174 | ~spl30_252)), 117.31/116.68 inference(forward_demodulation,[],[f4409,f4301])). 117.31/116.68 tff(f4409,plain,( 117.31/116.68 tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | (~spl30_174 | ~spl30_252)), 117.31/116.68 inference(superposition,[],[f1389,f4286])). 117.31/116.68 tff(f1389,plain,( 117.31/116.68 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~spl30_252), 117.31/116.68 inference(avatar_component_clause,[],[f1388])). 117.31/116.68 tff(f4518,plain,( 117.31/116.68 ~spl30_831 | ~spl30_172 | ~spl30_174 | spl30_251), 117.31/116.68 inference(avatar_split_clause,[],[f4514,f1382,f4285,f4300,f4516])). 117.31/116.68 tff(f4516,plain,( 117.31/116.68 spl30_831 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_831])])). 117.31/116.68 tff(f1382,plain,( 117.31/116.68 spl30_251 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_251])])). 117.31/116.68 tff(f4514,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | (~spl30_172 | ~spl30_174 | ~spl30_251)), 117.31/116.68 inference(forward_demodulation,[],[f4408,f4301])). 117.31/116.68 tff(f4408,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | (~spl30_174 | ~spl30_251)), 117.31/116.68 inference(superposition,[],[f1383,f4286])). 117.31/116.68 tff(f1383,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~spl30_251), 117.31/116.68 inference(avatar_component_clause,[],[f1382])). 117.31/116.68 tff(f4513,plain,( 117.31/116.68 ~spl30_829 | ~spl30_172 | ~spl30_174 | spl30_249), 117.31/116.68 inference(avatar_split_clause,[],[f4509,f1376,f4285,f4300,f4511])). 117.31/116.68 tff(f4511,plain,( 117.31/116.68 spl30_829 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_829])])). 117.31/116.68 tff(f1376,plain,( 117.31/116.68 spl30_249 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_249])])). 117.31/116.68 tff(f4509,plain,( 117.31/116.68 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))))))))) | (~spl30_172 | ~spl30_174 | ~spl30_249)), 117.31/116.68 inference(forward_demodulation,[],[f4407,f4301])). 117.31/116.68 tff(f4407,plain,( 117.31/116.68 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | (~spl30_174 | ~spl30_249)), 117.31/116.68 inference(superposition,[],[f1377,f4286])). 117.31/116.68 tff(f1377,plain,( 117.31/116.68 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_249), 117.31/116.68 inference(avatar_component_clause,[],[f1376])). 117.31/116.68 tff(f4508,plain,( 117.31/116.68 ~spl30_827 | ~spl30_172 | ~spl30_174 | spl30_245), 117.31/116.68 inference(avatar_split_clause,[],[f4504,f1364,f4285,f4300,f4506])). 117.31/116.68 tff(f4506,plain,( 117.31/116.68 spl30_827 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_827])])). 117.31/116.68 tff(f1364,plain,( 117.31/116.68 spl30_245 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_245])])). 117.31/116.68 tff(f4504,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,9,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))))))))),1) | (~spl30_172 | ~spl30_174 | ~spl30_245)), 117.31/116.68 inference(forward_demodulation,[],[f4406,f4301])). 117.31/116.68 tff(f4406,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | (~spl30_174 | ~spl30_245)), 117.31/116.68 inference(superposition,[],[f1365,f4286])). 117.31/116.68 tff(f1365,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~spl30_245), 117.31/116.68 inference(avatar_component_clause,[],[f1364])). 117.31/116.68 tff(f4503,plain,( 117.31/116.68 ~spl30_825 | ~spl30_172 | ~spl30_174 | spl30_243), 117.31/116.68 inference(avatar_split_clause,[],[f4499,f1358,f4285,f4300,f4501])). 117.31/116.68 tff(f4501,plain,( 117.31/116.68 spl30_825 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_825])])). 117.31/116.68 tff(f1358,plain,( 117.31/116.68 spl30_243 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_243])])). 117.31/116.68 tff(f4499,plain,( 117.31/116.68 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_172 | ~spl30_174 | ~spl30_243)), 117.31/116.68 inference(forward_demodulation,[],[f4405,f4301])). 117.31/116.68 tff(f4405,plain,( 117.31/116.68 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_174 | ~spl30_243)), 117.31/116.68 inference(superposition,[],[f1359,f4286])). 117.31/116.68 tff(f1359,plain,( 117.31/116.68 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_243), 117.31/116.68 inference(avatar_component_clause,[],[f1358])). 117.31/116.68 tff(f4498,plain,( 117.31/116.68 spl30_822 | ~spl30_172 | ~spl30_174 | ~spl30_240), 117.31/116.68 inference(avatar_split_clause,[],[f4494,f1354,f4285,f4300,f4496])). 117.31/116.68 tff(f4496,plain,( 117.31/116.68 spl30_822 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_822])])). 117.31/116.68 tff(f1354,plain,( 117.31/116.68 spl30_240 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_240])])). 117.31/116.68 tff(f4494,plain,( 117.31/116.68 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_172 | ~spl30_174 | ~spl30_240)), 117.31/116.68 inference(forward_demodulation,[],[f4404,f4301])). 117.31/116.68 tff(f4404,plain,( 117.31/116.68 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_174 | ~spl30_240)), 117.31/116.68 inference(superposition,[],[f1355,f4286])). 117.31/116.68 tff(f1355,plain,( 117.31/116.68 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_240), 117.31/116.68 inference(avatar_component_clause,[],[f1354])). 117.31/116.68 tff(f4493,plain,( 117.31/116.68 ~spl30_821 | ~spl30_172 | ~spl30_174 | spl30_239), 117.31/116.68 inference(avatar_split_clause,[],[f4489,f1350,f4285,f4300,f4491])). 117.31/116.68 tff(f4491,plain,( 117.31/116.68 spl30_821 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_821])])). 117.31/116.68 tff(f1350,plain,( 117.31/116.68 spl30_239 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_239])])). 117.31/116.68 tff(f4489,plain,( 117.31/116.68 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),0) | (~spl30_172 | ~spl30_174 | ~spl30_239)), 117.31/116.68 inference(forward_demodulation,[],[f4403,f4301])). 117.31/116.68 tff(f4403,plain,( 117.31/116.68 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | (~spl30_174 | ~spl30_239)), 117.31/116.68 inference(superposition,[],[f1351,f4286])). 117.31/116.68 tff(f1351,plain,( 117.31/116.68 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_239), 117.31/116.68 inference(avatar_component_clause,[],[f1350])). 117.31/116.68 tff(f4488,plain,( 117.31/116.68 spl30_818 | ~spl30_172 | ~spl30_174 | ~spl30_236), 117.31/116.68 inference(avatar_split_clause,[],[f4484,f1346,f4285,f4300,f4486])). 117.31/116.68 tff(f4486,plain,( 117.31/116.68 spl30_818 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_818])])). 117.31/116.68 tff(f1346,plain,( 117.31/116.68 spl30_236 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_236])])). 117.31/116.68 tff(f4484,plain,( 117.31/116.68 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_172 | ~spl30_174 | ~spl30_236)), 117.31/116.68 inference(forward_demodulation,[],[f4402,f4301])). 117.31/116.68 tff(f4402,plain,( 117.31/116.68 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_174 | ~spl30_236)), 117.31/116.68 inference(superposition,[],[f1347,f4286])). 117.31/116.68 tff(f1347,plain,( 117.31/116.68 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_236), 117.31/116.68 inference(avatar_component_clause,[],[f1346])). 117.31/116.68 tff(f4483,plain,( 117.31/116.68 ~spl30_817 | ~spl30_172 | ~spl30_174 | spl30_235), 117.31/116.68 inference(avatar_split_clause,[],[f4479,f1342,f4285,f4300,f4481])). 117.31/116.68 tff(f4481,plain,( 117.31/116.68 spl30_817 <=> 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))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_817])])). 117.31/116.68 tff(f1342,plain,( 117.31/116.68 spl30_235 <=> 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))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_235])])). 117.31/116.68 tff(f4479,plain,( 117.31/116.68 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_172 | ~spl30_174 | ~spl30_235)), 117.31/116.68 inference(forward_demodulation,[],[f4401,f4301])). 117.31/116.68 tff(f4401,plain,( 117.31/116.68 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_174 | ~spl30_235)), 117.31/116.68 inference(superposition,[],[f1343,f4286])). 117.31/116.68 tff(f1343,plain,( 117.31/116.68 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_235), 117.31/116.68 inference(avatar_component_clause,[],[f1342])). 117.31/116.68 tff(f4478,plain,( 117.31/116.68 ~spl30_815 | ~spl30_172 | ~spl30_174 | spl30_181), 117.31/116.68 inference(avatar_split_clause,[],[f4474,f1161,f4285,f4300,f4476])). 117.31/116.68 tff(f4476,plain,( 117.31/116.68 spl30_815 <=> ~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))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_815])])). 117.31/116.68 tff(f1161,plain,( 117.31/116.68 spl30_181 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_181])])). 117.31/116.68 tff(f4474,plain,( 117.31/116.68 ~is_index1($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_172 | ~spl30_174 | ~spl30_181)), 117.31/116.68 inference(forward_demodulation,[],[f4400,f4301])). 117.31/116.68 tff(f4400,plain,( 117.31/116.68 ~is_index1($sum(tb2t1(get2(int,mk_array1(int,81,t2tb(sK5)),sK17(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | (~spl30_174 | ~spl30_181)), 117.31/116.68 inference(superposition,[],[f1162,f4286])). 117.31/116.68 tff(f1162,plain,( 117.31/116.68 ~is_index1($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_181), 117.31/116.68 inference(avatar_component_clause,[],[f1161])). 117.31/116.68 tff(f4473,plain,( 117.31/116.68 spl30_812 | ~spl30_172 | ~spl30_174 | ~spl30_176), 117.31/116.68 inference(avatar_split_clause,[],[f4469,f1143,f4285,f4300,f4471])). 117.31/116.68 tff(f4471,plain,( 117.31/116.68 spl30_812 <=> $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_812])])). 117.31/116.68 tff(f1143,plain,( 117.31/116.68 spl30_176 <=> $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_176])])). 117.31/116.68 tff(f4469,plain,( 117.31/116.68 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))),9) | (~spl30_172 | ~spl30_174 | ~spl30_176)), 117.31/116.68 inference(forward_demodulation,[],[f4399,f4301])). 117.31/116.68 tff(f4399,plain,( 117.31/116.68 $less(sK18(tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | (~spl30_174 | ~spl30_176)), 117.31/116.68 inference(superposition,[],[f1144,f4286])). 117.31/116.68 tff(f1144,plain,( 117.31/116.68 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_176), 117.31/116.68 inference(avatar_component_clause,[],[f1143])). 117.31/116.68 tff(f4464,plain,( 117.31/116.68 spl30_810 | ~spl30_42 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.68 inference(avatar_split_clause,[],[f4460,f4348,f4363,f4285,f4300,f4379,f703,f4462])). 117.31/116.68 tff(f4462,plain,( 117.31/116.68 spl30_810 <=> 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)))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_810])])). 117.31/116.68 tff(f4460,plain,( 117.31/116.68 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_42 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4459,f4380])). 117.31/116.68 tff(f4459,plain,( 117.31/116.68 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_42 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4458,f4301])). 117.31/116.68 tff(f4458,plain,( 117.31/116.68 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_42 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4457,f4349])). 117.31/116.68 tff(f4457,plain,( 117.31/116.68 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_42 | ~spl30_174 | ~spl30_184)), 117.31/116.68 inference(forward_demodulation,[],[f4393,f4364])). 117.31/116.68 tff(f4393,plain,( 117.31/116.68 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_42 | ~spl30_174)), 117.31/116.68 inference(superposition,[],[f704,f4286])). 117.31/116.68 tff(f4456,plain,( 117.31/116.68 spl30_808 | ~spl30_22 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.68 inference(avatar_split_clause,[],[f4452,f4348,f4363,f4285,f4300,f4379,f636,f4454])). 117.31/116.68 tff(f4454,plain,( 117.31/116.68 spl30_808 <=> 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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_808])])). 117.31/116.68 tff(f4452,plain,( 117.31/116.68 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_22 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4451,f4380])). 117.31/116.68 tff(f4451,plain,( 117.31/116.68 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_22 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4450,f4301])). 117.31/116.68 tff(f4450,plain,( 117.31/116.68 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_22 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4449,f4349])). 117.31/116.68 tff(f4449,plain,( 117.31/116.68 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_22 | ~spl30_174 | ~spl30_184)), 117.31/116.68 inference(forward_demodulation,[],[f4391,f4364])). 117.31/116.68 tff(f4391,plain,( 117.31/116.68 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_22 | ~spl30_174)), 117.31/116.68 inference(superposition,[],[f637,f4286])). 117.31/116.68 tff(f4448,plain,( 117.31/116.68 spl30_806 | ~spl30_24 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186), 117.31/116.68 inference(avatar_split_clause,[],[f4444,f4348,f4363,f4285,f4300,f4379,f612,f4446])). 117.31/116.68 tff(f4446,plain,( 117.31/116.68 spl30_806 <=> 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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_806])])). 117.31/116.68 tff(f4444,plain,( 117.31/116.68 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_24 | ~spl30_162 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4443,f4380])). 117.31/116.68 tff(f4443,plain,( 117.31/116.68 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_24 | ~spl30_172 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4442,f4301])). 117.31/116.68 tff(f4442,plain,( 117.31/116.68 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_24 | ~spl30_174 | ~spl30_184 | ~spl30_186)), 117.31/116.68 inference(forward_demodulation,[],[f4441,f4349])). 117.31/116.68 tff(f4441,plain,( 117.31/116.68 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_24 | ~spl30_174 | ~spl30_184)), 117.31/116.68 inference(forward_demodulation,[],[f4390,f4364])). 117.31/116.68 tff(f4390,plain,( 117.31/116.68 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_24 | ~spl30_174)), 117.31/116.68 inference(superposition,[],[f613,f4286])). 117.31/116.68 tff(f4440,plain,( 117.31/116.68 ~spl30_805 | spl30_17 | ~spl30_172 | ~spl30_174), 117.31/116.68 inference(avatar_split_clause,[],[f4436,f4285,f4300,f599,f4438])). 117.31/116.68 tff(f4438,plain,( 117.31/116.68 spl30_805 <=> ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_805])])). 117.31/116.68 tff(f4436,plain,( 117.31/116.68 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,9,t2tb(sK7)))) | (~spl30_17 | ~spl30_172 | ~spl30_174)), 117.31/116.68 inference(forward_demodulation,[],[f4389,f4301])). 117.31/116.68 tff(f4389,plain,( 117.31/116.68 ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,81,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | (~spl30_17 | ~spl30_174)), 117.31/116.68 inference(superposition,[],[f600,f4286])). 117.31/116.68 tff(f4386,plain,( 117.31/116.68 spl30_802 | ~spl30_340), 117.31/116.68 inference(avatar_split_clause,[],[f4377,f2066,f4384])). 117.31/116.68 tff(f4384,plain,( 117.31/116.68 spl30_802 <=> mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_802])])). 117.31/116.68 tff(f2066,plain,( 117.31/116.68 spl30_340 <=> length1(int,mk_array1(int,sK0,t2tb(sK1))) = 81), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_340])])). 117.31/116.68 tff(f4377,plain,( 117.31/116.68 mk_array1(int,sK0,t2tb(sK1)) = mk_array1(int,81,elts(int,mk_array1(int,sK0,t2tb(sK1)))) | ~spl30_340), 117.31/116.68 inference(superposition,[],[f364,f2067])). 117.31/116.68 tff(f2067,plain,( 117.31/116.68 length1(int,mk_array1(int,sK0,t2tb(sK1))) = 81 | ~spl30_340), 117.31/116.68 inference(avatar_component_clause,[],[f2066])). 117.31/116.68 tff(f4382,plain,( 117.31/116.68 spl30_162 | ~spl30_340), 117.31/116.68 inference(avatar_split_clause,[],[f4375,f2066,f4379])). 117.31/116.68 tff(f4375,plain,( 117.31/116.68 81 = sK0 | ~spl30_340), 117.31/116.68 inference(superposition,[],[f395,f2067])). 117.31/116.68 tff(f4381,plain,( 117.31/116.68 spl30_162 | ~spl30_340), 117.31/116.68 inference(avatar_split_clause,[],[f4374,f2066,f4379])). 117.31/116.68 tff(f4374,plain,( 117.31/116.68 81 = sK0 | ~spl30_340), 117.31/116.68 inference(superposition,[],[f2067,f395])). 117.31/116.68 tff(f4370,plain,( 117.31/116.68 spl30_800 | ~spl30_338), 117.31/116.68 inference(avatar_split_clause,[],[f4361,f2038,f4368])). 117.31/116.68 tff(f4368,plain,( 117.31/116.68 spl30_800 <=> mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_800])])). 117.31/116.68 tff(f2038,plain,( 117.31/116.68 spl30_338 <=> length1(int,mk_array1(int,sK10,t2tb(sK11))) = 9), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_338])])). 117.31/116.68 tff(f4361,plain,( 117.31/116.68 mk_array1(int,sK10,t2tb(sK11)) = mk_array1(int,9,elts(int,mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_338), 117.31/116.68 inference(superposition,[],[f364,f2039])). 117.31/116.68 tff(f2039,plain,( 117.31/116.68 length1(int,mk_array1(int,sK10,t2tb(sK11))) = 9 | ~spl30_338), 117.31/116.68 inference(avatar_component_clause,[],[f2038])). 117.31/116.68 tff(f4366,plain,( 117.31/116.68 spl30_184 | ~spl30_338), 117.31/116.68 inference(avatar_split_clause,[],[f4359,f2038,f4363])). 117.31/116.68 tff(f4359,plain,( 117.31/116.68 9 = sK10 | ~spl30_338), 117.31/116.68 inference(superposition,[],[f395,f2039])). 117.31/116.68 tff(f4365,plain,( 117.31/116.68 spl30_184 | ~spl30_338), 117.31/116.68 inference(avatar_split_clause,[],[f4358,f2038,f4363])). 117.31/116.68 tff(f4358,plain,( 117.31/116.68 9 = sK10 | ~spl30_338), 117.31/116.68 inference(superposition,[],[f2039,f395])). 117.31/116.68 tff(f4355,plain,( 117.31/116.68 spl30_798 | ~spl30_336), 117.31/116.68 inference(avatar_split_clause,[],[f4346,f2033,f4353])). 117.31/116.68 tff(f4353,plain,( 117.31/116.68 spl30_798 <=> mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_798])])). 117.31/116.68 tff(f2033,plain,( 117.31/116.68 spl30_336 <=> length1(int,mk_array1(int,sK8,t2tb(sK9))) = 81), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_336])])). 117.31/116.68 tff(f4346,plain,( 117.31/116.68 mk_array1(int,sK8,t2tb(sK9)) = mk_array1(int,81,elts(int,mk_array1(int,sK8,t2tb(sK9)))) | ~spl30_336), 117.31/116.68 inference(superposition,[],[f364,f2034])). 117.31/116.68 tff(f2034,plain,( 117.31/116.68 length1(int,mk_array1(int,sK8,t2tb(sK9))) = 81 | ~spl30_336), 117.31/116.68 inference(avatar_component_clause,[],[f2033])). 117.31/116.68 tff(f4351,plain,( 117.31/116.68 spl30_186 | ~spl30_336), 117.31/116.68 inference(avatar_split_clause,[],[f4344,f2033,f4348])). 117.31/116.68 tff(f4344,plain,( 117.31/116.68 81 = sK8 | ~spl30_336), 117.31/116.68 inference(superposition,[],[f395,f2034])). 117.31/116.68 tff(f4350,plain,( 117.31/116.68 spl30_186 | ~spl30_336), 117.31/116.68 inference(avatar_split_clause,[],[f4343,f2033,f4348])). 117.31/116.68 tff(f4343,plain,( 117.31/116.68 81 = sK8 | ~spl30_336), 117.31/116.68 inference(superposition,[],[f2034,f395])). 117.31/116.68 tff(f4314,plain,( 117.31/116.68 spl30_796 | ~spl30_124 | ~spl30_172), 117.31/116.68 inference(avatar_split_clause,[],[f4310,f4300,f997,f4312])). 117.31/116.68 tff(f997,plain,( 117.31/116.68 spl30_124 <=> is_index1(sK6)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 117.31/116.68 tff(f4310,plain,( 117.31/116.68 is_index1(9) | (~spl30_124 | ~spl30_172)), 117.31/116.68 inference(forward_demodulation,[],[f998,f4301])). 117.31/116.68 tff(f998,plain,( 117.31/116.68 is_index1(sK6) | ~spl30_124), 117.31/116.68 inference(avatar_component_clause,[],[f997])). 117.31/116.68 tff(f4307,plain,( 117.31/116.68 spl30_794 | ~spl30_334), 117.31/116.68 inference(avatar_split_clause,[],[f4298,f2011,f4305])). 117.31/116.68 tff(f4305,plain,( 117.31/116.68 spl30_794 <=> mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_794])])). 117.31/116.68 tff(f2011,plain,( 117.31/116.68 spl30_334 <=> length1(int,mk_array1(int,sK6,t2tb(sK7))) = 9), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_334])])). 117.31/116.68 tff(f4298,plain,( 117.31/116.68 mk_array1(int,sK6,t2tb(sK7)) = mk_array1(int,9,elts(int,mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_334), 117.31/116.68 inference(superposition,[],[f364,f2012])). 117.31/116.68 tff(f2012,plain,( 117.31/116.68 length1(int,mk_array1(int,sK6,t2tb(sK7))) = 9 | ~spl30_334), 117.31/116.68 inference(avatar_component_clause,[],[f2011])). 117.31/116.68 tff(f4303,plain,( 117.31/116.68 spl30_172 | ~spl30_334), 117.31/116.68 inference(avatar_split_clause,[],[f4296,f2011,f4300])). 117.31/116.68 tff(f4296,plain,( 117.31/116.68 9 = sK6 | ~spl30_334), 117.31/116.68 inference(superposition,[],[f395,f2012])). 117.31/116.68 tff(f4302,plain,( 117.31/116.68 spl30_172 | ~spl30_334), 117.31/116.68 inference(avatar_split_clause,[],[f4295,f2011,f4300])). 117.31/116.68 tff(f4295,plain,( 117.31/116.68 9 = sK6 | ~spl30_334), 117.31/116.68 inference(superposition,[],[f2012,f395])). 117.31/116.68 tff(f4292,plain,( 117.31/116.68 spl30_792 | ~spl30_332), 117.31/116.68 inference(avatar_split_clause,[],[f4283,f2006,f4290])). 117.31/116.68 tff(f4290,plain,( 117.31/116.68 spl30_792 <=> mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_792])])). 117.31/116.68 tff(f2006,plain,( 117.31/116.68 spl30_332 <=> length1(int,mk_array1(int,sK4,t2tb(sK5))) = 81), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_332])])). 117.31/116.68 tff(f4283,plain,( 117.31/116.68 mk_array1(int,sK4,t2tb(sK5)) = mk_array1(int,81,elts(int,mk_array1(int,sK4,t2tb(sK5)))) | ~spl30_332), 117.31/116.68 inference(superposition,[],[f364,f2007])). 117.31/116.68 tff(f2007,plain,( 117.31/116.68 length1(int,mk_array1(int,sK4,t2tb(sK5))) = 81 | ~spl30_332), 117.31/116.68 inference(avatar_component_clause,[],[f2006])). 117.31/116.68 tff(f4288,plain,( 117.31/116.68 spl30_174 | ~spl30_332), 117.31/116.68 inference(avatar_split_clause,[],[f4281,f2006,f4285])). 117.31/116.68 tff(f4281,plain,( 117.31/116.68 81 = sK4 | ~spl30_332), 117.31/116.68 inference(superposition,[],[f395,f2007])). 117.31/116.68 tff(f4287,plain,( 117.31/116.68 spl30_174 | ~spl30_332), 117.31/116.68 inference(avatar_split_clause,[],[f4280,f2006,f4285])). 117.31/116.68 tff(f4280,plain,( 117.31/116.68 81 = sK4 | ~spl30_332), 117.31/116.68 inference(superposition,[],[f2007,f395])). 117.31/116.68 tff(f3955,plain,( 117.31/116.68 spl30_790 | ~spl30_252), 117.31/116.68 inference(avatar_split_clause,[],[f3951,f1388,f3953])). 117.31/116.68 tff(f3953,plain,( 117.31/116.68 spl30_790 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_790])])). 117.31/116.68 tff(f3951,plain,( 117.31/116.68 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))) | ~spl30_252), 117.31/116.68 inference(forward_demodulation,[],[f3950,f337])). 117.31/116.68 tff(f337,plain,( 117.31/116.68 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 117.31/116.68 inference(cnf_transformation,[],[f82])). 117.31/116.68 tff(f82,plain,( 117.31/116.68 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 117.31/116.68 inference(rectify,[],[f22])). 117.31/116.68 tff(f22,axiom,( 117.31/116.68 ! [X3 : uni] : t2tb1(tb2t1(X3)) = X3), 117.31/116.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 117.31/116.68 tff(f3950,plain,( 117.31/116.68 get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_252), 117.31/116.68 inference(superposition,[],[f337,f1389])). 117.31/116.68 tff(f3932,plain,( 117.31/116.68 spl30_788 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3928,f1327,f3930])). 117.31/116.68 tff(f3930,plain,( 117.31/116.68 spl30_788 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_788])])). 117.31/116.68 tff(f3928,plain,( 117.31/116.68 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3902,f337])). 117.31/116.68 tff(f3902,plain,( 117.31/116.68 get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f337,f1328])). 117.31/116.68 tff(f3927,plain,( 117.31/116.68 ~spl30_781 | spl30_230 | spl30_784 | spl30_228 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3926,f1327,f3708,f3913,f3719,f3904])). 117.31/116.68 tff(f3904,plain,( 117.31/116.68 spl30_781 <=> ~is_index1($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))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_781])])). 117.31/116.68 tff(f3719,plain,( 117.31/116.68 spl30_230 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_230])])). 117.31/116.68 tff(f3913,plain,( 117.31/116.68 spl30_784 <=> ! [X7 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~included1(sK13,X7))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_784])])). 117.31/116.68 tff(f3708,plain,( 117.31/116.68 spl30_228 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_228])])). 117.31/116.68 tff(f3926,plain,( 117.31/116.68 ( ! [X2: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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($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)))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~included1(sK13,X2)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3925,f1328])). 117.31/116.68 tff(f3925,plain,( 117.31/116.68 ( ! [X2:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($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(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)))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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) | ~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))))))))))) | ~included1(sK13,X2)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3898,f1328])). 117.31/116.68 tff(f3898,plain,( 117.31/116.68 ( ! [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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($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)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~included1(sK13,X2)) ) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f391,f1328])). 117.31/116.68 tff(f3924,plain,( 117.31/116.68 ~spl30_781 | spl30_784 | spl30_228 | spl30_230 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3923,f1327,f3719,f3708,f3913,f3904])). 117.31/116.68 tff(f3923,plain,( 117.31/116.68 ( ! [X1: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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X1),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~included1(sK13,X1)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3922,f1328])). 117.31/116.68 tff(f3922,plain,( 117.31/116.68 ( ! [X1:map_int_int] : ($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(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)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X1)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3897,f1328])). 117.31/116.68 tff(f3897,plain,( 117.31/116.68 ( ! [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)),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,X1)) ) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f391,f1328])). 117.31/116.68 tff(f3921,plain,( 117.31/116.68 ~spl30_781 | spl30_782 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3896,f1327,f3907,f3904])). 117.31/116.68 tff(f3907,plain,( 117.31/116.68 spl30_782 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~included1(X6,sK13) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_782])])). 117.31/116.68 tff(f3896,plain,( 117.31/116.68 ( ! [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_232), 117.31/116.68 inference(superposition,[],[f391,f1328])). 117.31/116.68 tff(f3920,plain,( 117.31/116.68 ~spl30_15 | ~spl30_781 | ~spl30_787 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3895,f1327,f3917,f3904,f596])). 117.31/116.68 tff(f596,plain,( 117.31/116.68 spl30_15 <=> ~valid_values1(sK13)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 117.31/116.68 tff(f3917,plain,( 117.31/116.68 spl30_787 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_787])])). 117.31/116.68 tff(f3895,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~valid_values1(sK13) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f362,f1328])). 117.31/116.68 tff(f3919,plain,( 117.31/116.68 ~spl30_781 | ~spl30_787 | ~spl30_14 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3890,f1327,f695,f3917,f3904])). 117.31/116.68 tff(f695,plain,( 117.31/116.68 spl30_14 <=> valid_values1(sK13)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 117.31/116.68 tff(f3890,plain,( 117.31/116.68 ~$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_14 | ~spl30_232)), 117.31/116.68 inference(superposition,[],[f723,f1328])). 117.31/116.68 tff(f723,plain,( 117.31/116.68 ( ! [X1:$int] : (~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1(X1))),0) | ~is_index1(X1)) ) | ~spl30_14), 117.31/116.68 inference(resolution,[],[f696,f362])). 117.31/116.68 tff(f696,plain,( 117.31/116.68 valid_values1(sK13) | ~spl30_14), 117.31/116.68 inference(avatar_component_clause,[],[f695])). 117.31/116.68 tff(f3915,plain,( 117.31/116.68 ~spl30_781 | spl30_784 | spl30_228 | spl30_230 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3911,f1327,f3719,f3708,f3913,f3904])). 117.31/116.68 tff(f3911,plain,( 117.31/116.68 ( ! [X7:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~included1(sK13,X7)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3910,f1328])). 117.31/116.68 tff(f3910,plain,( 117.31/116.68 ( ! [X7:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_232), 117.31/116.68 inference(forward_demodulation,[],[f3888,f1328])). 117.31/116.68 tff(f3888,plain,( 117.31/116.68 ( ! [X7:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f1328,f391])). 117.31/116.68 tff(f3909,plain,( 117.31/116.68 ~spl30_781 | spl30_782 | ~spl30_232), 117.31/116.68 inference(avatar_split_clause,[],[f3887,f1327,f3907,f3904])). 117.31/116.68 tff(f3887,plain,( 117.31/116.68 ( ! [X6:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(X6,sK13)) ) | ~spl30_232), 117.31/116.68 inference(superposition,[],[f1328,f391])). 117.31/116.68 tff(f3880,plain,( 117.31/116.68 spl30_778 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3876,f1266,f3878])). 117.31/116.68 tff(f3878,plain,( 117.31/116.68 spl30_778 <=> get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_778])])). 117.31/116.68 tff(f3876,plain,( 117.31/116.68 get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) = get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3850,f337])). 117.31/116.68 tff(f3850,plain,( 117.31/116.68 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_212), 117.31/116.68 inference(superposition,[],[f337,f1267])). 117.31/116.68 tff(f3875,plain,( 117.31/116.68 ~spl30_771 | spl30_210 | spl30_774 | spl30_208 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3874,f1266,f3683,f3861,f3694,f3852])). 117.31/116.68 tff(f3852,plain,( 117.31/116.68 spl30_771 <=> ~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))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_771])])). 117.31/116.68 tff(f3694,plain,( 117.31/116.68 spl30_210 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_210])])). 117.31/116.68 tff(f3861,plain,( 117.31/116.68 spl30_774 <=> ! [X7 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(sK13,X7))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_774])])). 117.31/116.68 tff(f3683,plain,( 117.31/116.68 spl30_208 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_208])])). 117.31/116.68 tff(f3874,plain,( 117.31/116.68 ( ! [X2: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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($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)))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~included1(sK13,X2)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3873,f1267])). 117.31/116.68 tff(f3873,plain,( 117.31/116.68 ( ! [X2:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($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(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)))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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) | ~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))))))))))) | ~included1(sK13,X2)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3846,f1267])). 117.31/116.68 tff(f3846,plain,( 117.31/116.68 ( ! [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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X2),t2tb1($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)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~included1(sK13,X2)) ) | ~spl30_212), 117.31/116.68 inference(superposition,[],[f391,f1267])). 117.31/116.68 tff(f3872,plain,( 117.31/116.68 ~spl30_771 | spl30_774 | spl30_208 | spl30_210 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3871,f1266,f3694,f3683,f3861,f3852])). 117.31/116.68 tff(f3871,plain,( 117.31/116.68 ( ! [X1: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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X1),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~included1(sK13,X1)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3870,f1267])). 117.31/116.68 tff(f3870,plain,( 117.31/116.68 ( ! [X1:map_int_int] : ($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(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)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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,X1)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3845,f1267])). 117.31/116.68 tff(f3845,plain,( 117.31/116.68 ( ! [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)),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,X1)) ) | ~spl30_212), 117.31/116.68 inference(superposition,[],[f391,f1267])). 117.31/116.68 tff(f3869,plain,( 117.31/116.68 ~spl30_771 | spl30_772 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3844,f1266,f3855,f3852])). 117.31/116.68 tff(f3855,plain,( 117.31/116.68 spl30_772 <=> ! [X6 : map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~included1(X6,sK13) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_772])])). 117.31/116.68 tff(f3844,plain,( 117.31/116.68 ( ! [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_212), 117.31/116.68 inference(superposition,[],[f391,f1267])). 117.31/116.68 tff(f3868,plain,( 117.31/116.68 ~spl30_15 | ~spl30_771 | ~spl30_777 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3843,f1266,f3865,f3852,f596])). 117.31/116.68 tff(f3865,plain,( 117.31/116.68 spl30_777 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_777])])). 117.31/116.68 tff(f3843,plain,( 117.31/116.68 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~valid_values1(sK13) | ~spl30_212), 117.31/116.68 inference(superposition,[],[f362,f1267])). 117.31/116.68 tff(f3867,plain,( 117.31/116.68 ~spl30_771 | ~spl30_777 | ~spl30_14 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3838,f1266,f695,f3865,f3852])). 117.31/116.68 tff(f3838,plain,( 117.31/116.68 ~$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_14 | ~spl30_212)), 117.31/116.68 inference(superposition,[],[f723,f1267])). 117.31/116.68 tff(f3863,plain,( 117.31/116.68 ~spl30_771 | spl30_774 | spl30_208 | spl30_210 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3859,f1266,f3694,f3683,f3861,f3852])). 117.31/116.68 tff(f3859,plain,( 117.31/116.68 ( ! [X7:map_int_int] : ($less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~included1(sK13,X7)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3858,f1267])). 117.31/116.68 tff(f3858,plain,( 117.31/116.68 ( ! [X7:map_int_int] : ($less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_212), 117.31/116.68 inference(forward_demodulation,[],[f3836,f1267])). 117.31/116.68 tff(f3836,plain,( 117.31/116.68 ( ! [X7:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_212), 117.31/116.68 inference(superposition,[],[f1267,f391])). 117.31/116.68 tff(f3857,plain,( 117.31/116.68 ~spl30_771 | spl30_772 | ~spl30_212), 117.31/116.68 inference(avatar_split_clause,[],[f3835,f1266,f3855,f3852])). 117.31/116.68 tff(f3835,plain,( 117.31/116.68 ( ! [X6:map_int_int] : (tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(X6),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(X6,sK13)) ) | ~spl30_212), 117.31/116.68 inference(superposition,[],[f1267,f391])). 117.31/116.68 tff(f3829,plain,( 117.31/116.68 ~spl30_757 | spl30_768 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3793,f1526,f3827,f3804])). 117.31/116.68 tff(f3804,plain,( 117.31/116.68 spl30_757 <=> ~$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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_757])])). 117.31/116.68 tff(f3827,plain,( 117.31/116.68 spl30_768 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0))))) | ~is_index1(X43))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_768])])). 117.31/116.68 tff(f3793,plain,( 117.31/116.68 ( ! [X43:$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_277), 117.31/116.68 inference(resolution,[],[f1527,f461])). 117.31/116.68 tff(f3825,plain,( 117.31/116.68 ~spl30_757 | spl30_766 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3790,f1526,f3822,f3804])). 117.31/116.68 tff(f3822,plain,( 117.31/116.68 spl30_766 <=> ! [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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_766])])). 117.31/116.68 tff(f3790,plain,( 117.31/116.68 ( ! [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) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_277), 117.31/116.68 inference(resolution,[],[f1527,f440])). 117.31/116.68 tff(f3824,plain,( 117.31/116.68 ~spl30_757 | spl30_766 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3789,f1526,f3822,f3804])). 117.31/116.68 tff(f3789,plain,( 117.31/116.68 ( ! [X24:$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_277), 117.31/116.68 inference(resolution,[],[f1527,f440])). 117.31/116.68 tff(f3820,plain,( 117.31/116.68 spl30_760 | spl30_764 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3788,f1526,f3818,f3811])). 117.31/116.68 tff(f3811,plain,( 117.31/116.68 spl30_760 <=> $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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_760])])). 117.31/116.68 tff(f3818,plain,( 117.31/116.68 spl30_764 <=> ! [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) | $less(X19,0))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_764])])). 117.31/116.68 tff(f3788,plain,( 117.31/116.68 ( ! [X19:$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_277), 117.31/116.68 inference(resolution,[],[f1527,f425])). 117.31/116.68 tff(f3816,plain,( 117.31/116.68 spl30_760 | spl30_762 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3787,f1526,f3814,f3811])). 117.31/116.68 tff(f3814,plain,( 117.31/116.68 spl30_762 <=> ! [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) | $less(X16,0))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_762])])). 117.31/116.68 tff(f3787,plain,( 117.31/116.68 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_277), 117.31/116.68 inference(resolution,[],[f1527,f425])). 117.31/116.68 tff(f3809,plain,( 117.31/116.68 ~spl30_757 | spl30_758 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3782,f1526,f3807,f3804])). 117.31/116.68 tff(f3807,plain,( 117.31/116.68 spl30_758 <=> ! [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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_758])])). 117.31/116.68 tff(f3782,plain,( 117.31/116.68 ( ! [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) | ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_277), 117.31/116.68 inference(resolution,[],[f1527,f368])). 117.31/116.68 tff(f3802,plain,( 117.31/116.68 ~spl30_755 | spl30_510 | spl30_277), 117.31/116.68 inference(avatar_split_clause,[],[f3781,f1526,f3800,f3797])). 117.31/116.68 tff(f3797,plain,( 117.31/116.68 spl30_755 <=> ~$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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_755])])). 117.31/116.68 tff(f3800,plain,( 117.31/116.68 spl30_510 <=> 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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_510])])). 117.31/116.68 tff(f3781,plain,( 117.31/116.68 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_277), 117.31/116.68 inference(resolution,[],[f1527,f356])). 117.31/116.68 tff(f3751,plain,( 117.31/116.68 spl30_250 | spl30_248 | ~spl30_749 | spl30_752 | spl30_251), 117.31/116.68 inference(avatar_split_clause,[],[f3733,f1382,f3749,f3738,f3735,f3746])). 117.31/116.68 tff(f3746,plain,( 117.31/116.68 spl30_250 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_250])])). 117.31/116.68 tff(f3735,plain,( 117.31/116.68 spl30_248 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_248])])). 117.31/116.68 tff(f3738,plain,( 117.31/116.68 spl30_749 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_749])])). 117.31/116.68 tff(f3749,plain,( 117.31/116.68 spl30_752 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_752])])). 117.31/116.68 tff(f3733,plain,( 117.31/116.68 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_251), 117.31/116.68 inference(superposition,[],[f1383,f391])). 117.31/116.68 tff(f3743,plain,( 117.31/116.68 spl30_248 | ~spl30_749 | spl30_750 | spl30_251), 117.31/116.68 inference(avatar_split_clause,[],[f3727,f1382,f3741,f3738,f3735])). 117.31/116.68 tff(f3741,plain,( 117.31/116.68 spl30_750 <=> ! [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))), 117.31/116.68 introduced(avatar_definition,[new_symbols(naming,[spl30_750])])). 117.31/116.68 tff(f3727,plain,( 117.31/116.68 ( ! [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_251), 117.31/116.68 inference(resolution,[],[f1383,f391])). 117.31/116.68 tff(f3724,plain,( 117.31/116.68 spl30_230 | spl30_228 | ~spl30_743 | spl30_746 | spl30_231), 117.31/116.68 inference(avatar_split_clause,[],[f3706,f1321,f3722,f3711,f3708,f3719])). 117.31/116.69 tff(f3711,plain,( 117.31/116.69 spl30_743 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_743])])). 117.31/116.69 tff(f3722,plain,( 117.31/116.69 spl30_746 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_746])])). 117.31/116.69 tff(f3706,plain,( 117.31/116.69 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_231), 117.31/116.69 inference(superposition,[],[f1322,f391])). 117.31/116.69 tff(f3716,plain,( 117.31/116.69 spl30_228 | ~spl30_743 | spl30_744 | spl30_231), 117.31/116.69 inference(avatar_split_clause,[],[f3700,f1321,f3714,f3711,f3708])). 117.31/116.69 tff(f3714,plain,( 117.31/116.69 spl30_744 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_744])])). 117.31/116.69 tff(f3700,plain,( 117.31/116.69 ( ! [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_231), 117.31/116.69 inference(resolution,[],[f1322,f391])). 117.31/116.69 tff(f3699,plain,( 117.31/116.69 spl30_210 | spl30_208 | ~spl30_737 | spl30_740 | spl30_211), 117.31/116.69 inference(avatar_split_clause,[],[f3681,f1260,f3697,f3686,f3683,f3694])). 117.31/116.69 tff(f3686,plain,( 117.31/116.69 spl30_737 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_737])])). 117.31/116.69 tff(f3697,plain,( 117.31/116.69 spl30_740 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_740])])). 117.31/116.69 tff(f3681,plain,( 117.31/116.69 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~included1(sK13,X7)) ) | ~spl30_211), 117.31/116.69 inference(superposition,[],[f1261,f391])). 117.31/116.69 tff(f3691,plain,( 117.31/116.69 spl30_208 | ~spl30_737 | spl30_738 | spl30_211), 117.31/116.69 inference(avatar_split_clause,[],[f3675,f1260,f3689,f3686,f3683])). 117.31/116.69 tff(f3689,plain,( 117.31/116.69 spl30_738 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_738])])). 117.31/116.69 tff(f3675,plain,( 117.31/116.69 ( ! [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_211), 117.31/116.69 inference(resolution,[],[f1261,f391])). 117.31/116.69 tff(f3664,plain,( 117.31/116.69 ~spl30_19 | ~spl30_3 | spl30_734 | ~spl30_668), 117.31/116.69 inference(avatar_split_clause,[],[f3650,f3325,f3662,f578,f602])). 117.31/116.69 tff(f578,plain,( 117.31/116.69 spl30_3 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 117.31/116.69 tff(f3662,plain,( 117.31/116.69 spl30_734 <=> ! [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)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_734])])). 117.31/116.69 tff(f3650,plain,( 117.31/116.69 ( ! [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_668), 117.31/116.69 inference(resolution,[],[f3326,f365])). 117.31/116.69 tff(f3639,plain,( 117.31/116.69 ~spl30_19 | ~spl30_13 | spl30_732 | ~spl30_666), 117.31/116.69 inference(avatar_split_clause,[],[f3625,f3320,f3637,f593,f602])). 117.31/116.69 tff(f593,plain,( 117.31/116.69 spl30_13 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 117.31/116.69 tff(f3637,plain,( 117.31/116.69 spl30_732 <=> ! [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)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_732])])). 117.31/116.69 tff(f3625,plain,( 117.31/116.69 ( ! [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_666), 117.31/116.69 inference(resolution,[],[f3321,f365])). 117.31/116.69 tff(f3614,plain,( 117.31/116.69 ~spl30_19 | ~spl30_7 | spl30_730 | ~spl30_664), 117.31/116.69 inference(avatar_split_clause,[],[f3600,f3315,f3612,f584,f602])). 117.31/116.69 tff(f584,plain,( 117.31/116.69 spl30_7 <=> ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 117.31/116.69 tff(f3612,plain,( 117.31/116.69 spl30_730 <=> ! [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)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_730])])). 117.31/116.69 tff(f3600,plain,( 117.31/116.69 ( ! [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_664), 117.31/116.69 inference(resolution,[],[f3316,f365])). 117.31/116.69 tff(f3599,plain,( 117.31/116.69 spl30_724 | spl30_728 | spl30_243), 117.31/116.69 inference(avatar_split_clause,[],[f3574,f1358,f3597,f3590])). 117.31/116.69 tff(f3590,plain,( 117.31/116.69 spl30_724 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_724])])). 117.31/116.69 tff(f3597,plain,( 117.31/116.69 spl30_728 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_728])])). 117.31/116.69 tff(f3574,plain,( 117.31/116.69 ( ! [X19:$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_243), 117.31/116.69 inference(resolution,[],[f1359,f425])). 117.31/116.69 tff(f3595,plain,( 117.31/116.69 spl30_724 | spl30_726 | spl30_243), 117.31/116.69 inference(avatar_split_clause,[],[f3573,f1358,f3593,f3590])). 117.31/116.69 tff(f3593,plain,( 117.31/116.69 spl30_726 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_726])])). 117.31/116.69 tff(f3573,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_243), 117.31/116.69 inference(resolution,[],[f1359,f425])). 117.31/116.69 tff(f3588,plain,( 117.31/116.69 ~spl30_721 | spl30_722 | spl30_243), 117.31/116.69 inference(avatar_split_clause,[],[f3567,f1358,f3586,f3583])). 117.31/116.69 tff(f3583,plain,( 117.31/116.69 spl30_721 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_721])])). 117.31/116.69 tff(f3567,plain,( 117.31/116.69 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_243), 117.31/116.69 inference(resolution,[],[f1359,f356])). 117.31/116.69 tff(f3566,plain,( 117.31/116.69 spl30_714 | spl30_718 | spl30_239), 117.31/116.69 inference(avatar_split_clause,[],[f3541,f1350,f3564,f3557])). 117.31/116.69 tff(f3557,plain,( 117.31/116.69 spl30_714 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_714])])). 117.31/116.69 tff(f3564,plain,( 117.31/116.69 spl30_718 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_718])])). 117.31/116.69 tff(f3541,plain,( 117.31/116.69 ( ! [X19:$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_239), 117.31/116.69 inference(resolution,[],[f1351,f425])). 117.31/116.69 tff(f3562,plain,( 117.31/116.69 spl30_714 | spl30_716 | spl30_239), 117.31/116.69 inference(avatar_split_clause,[],[f3540,f1350,f3560,f3557])). 117.31/116.69 tff(f3560,plain,( 117.31/116.69 spl30_716 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_716])])). 117.31/116.69 tff(f3540,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_239), 117.31/116.69 inference(resolution,[],[f1351,f425])). 117.31/116.69 tff(f3555,plain,( 117.31/116.69 ~spl30_711 | spl30_712 | spl30_239), 117.31/116.69 inference(avatar_split_clause,[],[f3534,f1350,f3553,f3550])). 117.31/116.69 tff(f3550,plain,( 117.31/116.69 spl30_711 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_711])])). 117.31/116.69 tff(f3534,plain,( 117.31/116.69 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_239), 117.31/116.69 inference(resolution,[],[f1351,f356])). 117.31/116.69 tff(f3533,plain,( 117.31/116.69 spl30_704 | spl30_708 | spl30_223), 117.31/116.69 inference(avatar_split_clause,[],[f3508,f1297,f3531,f3524])). 117.31/116.69 tff(f3524,plain,( 117.31/116.69 spl30_704 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_704])])). 117.31/116.69 tff(f3531,plain,( 117.31/116.69 spl30_708 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_708])])). 117.31/116.69 tff(f3508,plain,( 117.31/116.69 ( ! [X19:$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_223), 117.31/116.69 inference(resolution,[],[f1298,f425])). 117.31/116.69 tff(f3529,plain,( 117.31/116.69 spl30_704 | spl30_706 | spl30_223), 117.31/116.69 inference(avatar_split_clause,[],[f3507,f1297,f3527,f3524])). 117.31/116.69 tff(f3527,plain,( 117.31/116.69 spl30_706 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_706])])). 117.31/116.69 tff(f3507,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_223), 117.31/116.69 inference(resolution,[],[f1298,f425])). 117.31/116.69 tff(f3522,plain,( 117.31/116.69 ~spl30_701 | spl30_702 | spl30_223), 117.31/116.69 inference(avatar_split_clause,[],[f3501,f1297,f3520,f3517])). 117.31/116.69 tff(f3517,plain,( 117.31/116.69 spl30_701 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_701])])). 117.31/116.69 tff(f3501,plain,( 117.31/116.69 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_223), 117.31/116.69 inference(resolution,[],[f1298,f356])). 117.31/116.69 tff(f3498,plain,( 117.31/116.69 spl30_694 | spl30_698 | spl30_219), 117.31/116.69 inference(avatar_split_clause,[],[f3473,f1289,f3496,f3489])). 117.31/116.69 tff(f3489,plain,( 117.31/116.69 spl30_694 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_694])])). 117.31/116.69 tff(f3496,plain,( 117.31/116.69 spl30_698 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_698])])). 117.31/116.69 tff(f3473,plain,( 117.31/116.69 ( ! [X19:$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_219), 117.31/116.69 inference(resolution,[],[f1290,f425])). 117.31/116.69 tff(f3494,plain,( 117.31/116.69 spl30_694 | spl30_696 | spl30_219), 117.31/116.69 inference(avatar_split_clause,[],[f3472,f1289,f3492,f3489])). 117.31/116.69 tff(f3492,plain,( 117.31/116.69 spl30_696 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_696])])). 117.31/116.69 tff(f3472,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_219), 117.31/116.69 inference(resolution,[],[f1290,f425])). 117.31/116.69 tff(f3487,plain,( 117.31/116.69 ~spl30_691 | spl30_692 | spl30_219), 117.31/116.69 inference(avatar_split_clause,[],[f3466,f1289,f3485,f3482])). 117.31/116.69 tff(f3482,plain,( 117.31/116.69 spl30_691 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_691])])). 117.31/116.69 tff(f3466,plain,( 117.31/116.69 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_219), 117.31/116.69 inference(resolution,[],[f1290,f356])). 117.31/116.69 tff(f3465,plain,( 117.31/116.69 spl30_684 | spl30_688 | spl30_203), 117.31/116.69 inference(avatar_split_clause,[],[f3440,f1236,f3463,f3456])). 117.31/116.69 tff(f3456,plain,( 117.31/116.69 spl30_684 <=> $less(81,sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_684])])). 117.31/116.69 tff(f3463,plain,( 117.31/116.69 spl30_688 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_688])])). 117.31/116.69 tff(f3440,plain,( 117.31/116.69 ( ! [X19:$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_203), 117.31/116.69 inference(resolution,[],[f1237,f425])). 117.31/116.69 tff(f3461,plain,( 117.31/116.69 spl30_684 | spl30_686 | spl30_203), 117.31/116.69 inference(avatar_split_clause,[],[f3439,f1236,f3459,f3456])). 117.31/116.69 tff(f3459,plain,( 117.31/116.69 spl30_686 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_686])])). 117.31/116.69 tff(f3439,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_203), 117.31/116.69 inference(resolution,[],[f1237,f425])). 117.31/116.69 tff(f3454,plain,( 117.31/116.69 ~spl30_681 | spl30_682 | spl30_203), 117.31/116.69 inference(avatar_split_clause,[],[f3433,f1236,f3452,f3449])). 117.31/116.69 tff(f3449,plain,( 117.31/116.69 spl30_681 <=> ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_681])])). 117.31/116.69 tff(f3433,plain,( 117.31/116.69 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_203), 117.31/116.69 inference(resolution,[],[f1237,f356])). 117.31/116.69 tff(f3432,plain,( 117.31/116.69 spl30_674 | spl30_678 | spl30_199), 117.31/116.69 inference(avatar_split_clause,[],[f3407,f1228,f3430,f3423])). 117.31/116.69 tff(f3423,plain,( 117.31/116.69 spl30_674 <=> $less(81,sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_674])])). 117.31/116.69 tff(f3430,plain,( 117.31/116.69 spl30_678 <=> ! [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) | $less(X19,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_678])])). 117.31/116.69 tff(f3407,plain,( 117.31/116.69 ( ! [X19:$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_199), 117.31/116.69 inference(resolution,[],[f1229,f425])). 117.31/116.69 tff(f3428,plain,( 117.31/116.69 spl30_674 | spl30_676 | spl30_199), 117.31/116.69 inference(avatar_split_clause,[],[f3406,f1228,f3426,f3423])). 117.31/116.69 tff(f3426,plain,( 117.31/116.69 spl30_676 <=> ! [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) | $less(X16,0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_676])])). 117.31/116.69 tff(f3406,plain,( 117.31/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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))))) | $less(81,X16)) ) | ~spl30_199), 117.31/116.69 inference(resolution,[],[f1229,f425])). 117.31/116.69 tff(f3421,plain,( 117.31/116.69 ~spl30_671 | spl30_672 | spl30_199), 117.31/116.69 inference(avatar_split_clause,[],[f3400,f1228,f3419,f3416])). 117.31/116.69 tff(f3416,plain,( 117.31/116.69 spl30_671 <=> ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_671])])). 117.31/116.69 tff(f3400,plain,( 117.31/116.69 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_199), 117.31/116.69 inference(resolution,[],[f1229,f356])). 117.31/116.69 tff(f3327,plain,( 117.31/116.69 ~spl30_19 | ~spl30_3 | spl30_668 | spl30_5), 117.31/116.69 inference(avatar_split_clause,[],[f1208,f581,f3325,f578,f602])). 117.31/116.69 tff(f1208,plain,( 117.31/116.69 ( ! [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_5), 117.31/116.69 inference(resolution,[],[f582,f365])). 117.31/116.69 tff(f3322,plain,( 117.31/116.69 ~spl30_19 | ~spl30_13 | spl30_666 | spl30_11), 117.31/116.69 inference(avatar_split_clause,[],[f1269,f590,f3320,f593,f602])). 117.31/116.69 tff(f1269,plain,( 117.31/116.69 ( ! [X0:map_int_int] : (~valid_chunk1(X0,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~is_index1(sK14) | ~included1(sK13,X0)) ) | ~spl30_11), 117.31/116.69 inference(resolution,[],[f591,f365])). 117.31/116.69 tff(f3317,plain,( 117.31/116.69 ~spl30_19 | ~spl30_7 | spl30_664 | spl30_17), 117.31/116.69 inference(avatar_split_clause,[],[f1330,f599,f3315,f584,f602])). 117.31/116.69 tff(f1330,plain,( 117.31/116.69 ( ! [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_17), 117.31/116.69 inference(resolution,[],[f600,f365])). 117.31/116.69 tff(f3309,plain,( 117.31/116.69 ~spl30_651 | spl30_312 | ~spl30_24 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3236,f1627,f612,f2792,f3241])). 117.31/116.69 tff(f3241,plain,( 117.31/116.69 spl30_651 <=> ~$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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_651])])). 117.31/116.69 tff(f2792,plain,( 117.31/116.69 spl30_312 <=> $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_312])])). 117.31/116.69 tff(f3236,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_24 | ~spl30_315)), 117.31/116.69 inference(resolution,[],[f1628,f2868])). 117.31/116.69 tff(f2868,plain,( 117.31/116.69 ( ! [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_24), 117.31/116.69 inference(resolution,[],[f613,f417])). 117.31/116.69 tff(f3308,plain,( 117.31/116.69 spl30_652 | spl30_312 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3237,f1627,f2792,f3245])). 117.31/116.69 tff(f3245,plain,( 117.31/116.69 spl30_652 <=> ! [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,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_652])])). 117.31/116.69 tff(f3237,plain,( 117.31/116.69 ( ! [X0:$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_315), 117.31/116.69 inference(resolution,[],[f1628,f417])). 117.31/116.69 tff(f3307,plain,( 117.31/116.69 ~spl30_23 | ~spl30_527 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3239,f1627,f3281,f608])). 117.31/116.69 tff(f608,plain,( 117.31/116.69 spl30_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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 117.31/116.69 tff(f3281,plain,( 117.31/116.69 spl30_527 <=> ~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,$sum(sK14,1)))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_527])])). 117.31/116.69 tff(f3239,plain,( 117.31/116.69 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_315), 117.31/116.69 inference(resolution,[],[f1628,f385])). 117.31/116.69 tff(f3306,plain,( 117.31/116.69 ~spl30_651 | spl30_312 | ~spl30_24 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3254,f1630,f612,f2792,f3241])). 117.31/116.69 tff(f3254,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_24 | ~spl30_317)), 117.31/116.69 inference(resolution,[],[f1631,f2869])). 117.31/116.69 tff(f2869,plain,( 117.31/116.69 ( ! [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_24), 117.31/116.69 inference(resolution,[],[f613,f418])). 117.31/116.69 tff(f3305,plain,( 117.31/116.69 spl30_652 | spl30_312 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3255,f1630,f2792,f3245])). 117.31/116.69 tff(f3255,plain,( 117.31/116.69 ( ! [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,$sum(sK14,1)),X0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,X0)) ) | ~spl30_317), 117.31/116.69 inference(resolution,[],[f1631,f418])). 117.31/116.69 tff(f3304,plain,( 117.31/116.69 ~spl30_23 | ~spl30_527 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3257,f1630,f3281,f608])). 117.31/116.69 tff(f3257,plain,( 117.31/116.69 ~is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_317), 117.31/116.69 inference(resolution,[],[f1631,f384])). 117.31/116.69 tff(f3303,plain,( 117.31/116.69 ~spl30_663 | spl30_276 | ~spl30_24 | spl30_279), 117.31/116.69 inference(avatar_split_clause,[],[f3198,f1530,f612,f1522,f3297])). 117.31/116.69 tff(f3297,plain,( 117.31/116.69 spl30_663 <=> ~$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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_663])])). 117.31/116.69 tff(f1522,plain,( 117.31/116.69 spl30_276 <=> $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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_276])])). 117.31/116.69 tff(f3198,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_24 | ~spl30_279)), 117.31/116.69 inference(resolution,[],[f1531,f2868])). 117.31/116.69 tff(f3302,plain,( 117.31/116.69 spl30_660 | spl30_276 | spl30_279), 117.31/116.69 inference(avatar_split_clause,[],[f3199,f1530,f1522,f3293])). 117.31/116.69 tff(f3293,plain,( 117.31/116.69 spl30_660 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_660])])). 117.31/116.69 tff(f3199,plain,( 117.31/116.69 ( ! [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_279), 117.31/116.69 inference(resolution,[],[f1531,f417])). 117.31/116.69 tff(f3301,plain,( 117.31/116.69 ~spl30_663 | spl30_276 | ~spl30_24 | spl30_281), 117.31/116.69 inference(avatar_split_clause,[],[f3208,f1533,f612,f1522,f3297])). 117.31/116.69 tff(f3208,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_24 | ~spl30_281)), 117.31/116.69 inference(resolution,[],[f1534,f2869])). 117.31/116.69 tff(f3300,plain,( 117.31/116.69 spl30_660 | spl30_276 | spl30_281), 117.31/116.69 inference(avatar_split_clause,[],[f3209,f1533,f1522,f3293])). 117.31/116.69 tff(f3209,plain,( 117.31/116.69 ( ! [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_281), 117.31/116.69 inference(resolution,[],[f1534,f418])). 117.31/116.69 tff(f3299,plain,( 117.31/116.69 ~spl30_663 | spl30_276 | ~spl30_24 | spl30_283), 117.31/116.69 inference(avatar_split_clause,[],[f3218,f1536,f612,f1522,f3297])). 117.31/116.69 tff(f3218,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~$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_24 | ~spl30_283)), 117.31/116.69 inference(resolution,[],[f1537,f2870])). 117.31/116.69 tff(f2870,plain,( 117.31/116.69 ( ! [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_24), 117.31/116.69 inference(resolution,[],[f613,f419])). 117.31/116.69 tff(f3295,plain,( 117.31/116.69 spl30_660 | spl30_276 | spl30_283), 117.31/116.69 inference(avatar_split_clause,[],[f3219,f1536,f1522,f3293])). 117.31/116.69 tff(f3219,plain,( 117.31/116.69 ( ! [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_283), 117.31/116.69 inference(resolution,[],[f1537,f419])). 117.31/116.69 tff(f3291,plain,( 117.31/116.69 ~spl30_23 | ~spl30_263 | spl30_267), 117.31/116.69 inference(avatar_split_clause,[],[f2835,f1496,f3285,f608])). 117.31/116.69 tff(f3285,plain,( 117.31/116.69 spl30_263 <=> ~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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_263])])). 117.31/116.69 tff(f2835,plain,( 117.31/116.69 ~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_267), 117.31/116.69 inference(resolution,[],[f1497,f385])). 117.31/116.69 tff(f3290,plain,( 117.31/116.69 ~spl30_23 | ~spl30_263 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f2814,f1493,f3285,f608])). 117.31/116.69 tff(f2814,plain,( 117.31/116.69 ~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_265), 117.31/116.69 inference(resolution,[],[f1494,f384])). 117.31/116.69 tff(f3289,plain,( 117.31/116.69 ~spl30_23 | ~spl30_263 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f3173,f1493,f3285,f608])). 117.31/116.69 tff(f3173,plain,( 117.31/116.69 ~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_265), 117.31/116.69 inference(resolution,[],[f1494,f384])). 117.31/116.69 tff(f3288,plain,( 117.31/116.69 ~spl30_23 | ~spl30_263 | spl30_267), 117.31/116.69 inference(avatar_split_clause,[],[f3185,f1496,f3285,f608])). 117.31/116.69 tff(f3185,plain,( 117.31/116.69 ~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_267), 117.31/116.69 inference(resolution,[],[f1497,f385])). 117.31/116.69 tff(f3287,plain,( 117.31/116.69 ~spl30_23 | ~spl30_263 | spl30_269), 117.31/116.69 inference(avatar_split_clause,[],[f3191,f1499,f3285,f608])). 117.31/116.69 tff(f3191,plain,( 117.31/116.69 ~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_269), 117.31/116.69 inference(resolution,[],[f1500,f386])). 117.31/116.69 tff(f3283,plain,( 117.31/116.69 ~spl30_23 | ~spl30_527 | spl30_319), 117.31/116.69 inference(avatar_split_clause,[],[f3271,f1633,f3281,f608])). 117.31/116.69 tff(f3271,plain,( 117.31/116.69 ~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_319), 117.31/116.69 inference(resolution,[],[f1634,f386])). 117.31/116.69 tff(f3279,plain,( 117.31/116.69 ~spl30_659 | spl30_319), 117.31/116.69 inference(avatar_split_clause,[],[f3275,f1633,f3277])). 117.31/116.69 tff(f3277,plain,( 117.31/116.69 spl30_659 <=> ~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,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_659])])). 117.31/116.69 tff(f3275,plain,( 117.31/116.69 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_319), 117.31/116.69 inference(forward_demodulation,[],[f3274,f455])). 117.31/116.69 tff(f3274,plain,( 117.31/116.69 ~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,$sum(sK14,1)),column_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_319), 117.31/116.69 inference(forward_demodulation,[],[f3270,f457])). 117.31/116.69 tff(f3270,plain,( 117.31/116.69 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_319), 117.31/116.69 inference(resolution,[],[f1634,f405])). 117.31/116.69 tff(f405,plain,( 117.31/116.69 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_column1(X0,X1,X2) | ~valid_chunk1(X1,X2,column_start1(X0),column_offsets1(X0))) )), 117.31/116.69 inference(cnf_transformation,[],[f198])). 117.31/116.69 tff(f3273,plain,( 117.31/116.69 spl30_652 | spl30_312 | spl30_319), 117.31/116.69 inference(avatar_split_clause,[],[f3269,f1633,f2792,f3245])). 117.31/116.69 tff(f3269,plain,( 117.31/116.69 ( ! [X0:$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_319), 117.31/116.69 inference(resolution,[],[f1634,f419])). 117.31/116.69 tff(f3272,plain,( 117.31/116.69 ~spl30_651 | spl30_312 | ~spl30_24 | spl30_319), 117.31/116.69 inference(avatar_split_clause,[],[f3268,f1633,f612,f2792,f3241])). 117.31/116.69 tff(f3268,plain,( 117.31/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_24 | ~spl30_319)), 117.31/116.69 inference(resolution,[],[f1634,f2870])). 117.31/116.69 tff(f3265,plain,( 117.31/116.69 ~spl30_657 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3261,f1630,f3263])). 117.31/116.69 tff(f3263,plain,( 117.31/116.69 spl30_657 <=> ~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,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_657])])). 117.31/116.69 tff(f3261,plain,( 117.31/116.69 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_317), 117.31/116.69 inference(forward_demodulation,[],[f3260,f456])). 117.31/116.69 tff(f3260,plain,( 117.31/116.69 ~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,$sum(sK14,1)),row_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_317), 117.31/116.69 inference(forward_demodulation,[],[f3256,f454])). 117.31/116.69 tff(f3256,plain,( 117.31/116.69 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_317), 117.31/116.69 inference(resolution,[],[f1631,f406])). 117.31/116.69 tff(f406,plain,( 117.31/116.69 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_row1(X0,X1,X2) | ~valid_chunk1(X1,X2,row_start1(X0),row_offsets1(X0))) )), 117.31/116.69 inference(cnf_transformation,[],[f199])). 117.31/116.69 tff(f3259,plain,( 117.31/116.69 spl30_652 | spl30_312 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3255,f1630,f2792,f3245])). 117.31/116.69 tff(f3258,plain,( 117.31/116.69 ~spl30_651 | spl30_312 | ~spl30_24 | spl30_317), 117.31/116.69 inference(avatar_split_clause,[],[f3254,f1630,f612,f2792,f3241])). 117.31/116.69 tff(f3253,plain,( 117.31/116.69 ~spl30_655 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3249,f1627,f3251])). 117.31/116.69 tff(f3251,plain,( 117.31/116.69 spl30_655 <=> ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_655])])). 117.31/116.69 tff(f3249,plain,( 117.31/116.69 ~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,$sum(sK14,1)),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_315), 117.31/116.69 inference(forward_demodulation,[],[f3248,f458])). 117.31/116.69 tff(f3248,plain,( 117.31/116.69 ~valid_chunk1(sK13,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_315), 117.31/116.69 inference(forward_demodulation,[],[f3238,f459])). 117.31/116.69 tff(f3238,plain,( 117.31/116.69 ~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,$sum(sK14,1)),square_start1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))),square_offsets1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))) | ~spl30_315), 117.31/116.69 inference(resolution,[],[f1628,f408])). 117.31/116.69 tff(f408,plain,( 117.31/116.69 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_square1(X0,X1,X2) | ~valid_chunk1(X1,X2,square_start1(X0),square_offsets1(X0))) )), 117.31/116.69 inference(cnf_transformation,[],[f200])). 117.31/116.69 tff(f3247,plain,( 117.31/116.69 spl30_652 | spl30_312 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3237,f1627,f2792,f3245])). 117.31/116.69 tff(f3243,plain,( 117.31/116.69 ~spl30_651 | spl30_312 | ~spl30_24 | spl30_315), 117.31/116.69 inference(avatar_split_clause,[],[f3236,f1627,f612,f2792,f3241])). 117.31/116.69 tff(f3235,plain,( 117.31/116.69 ~spl30_43 | spl30_648 | ~spl30_42), 117.31/116.69 inference(avatar_split_clause,[],[f3229,f703,f3233,f1482])). 117.31/116.69 tff(f1482,plain,( 117.31/116.69 spl30_43 <=> ~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)))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 117.31/116.69 tff(f3233,plain,( 117.31/116.69 spl30_648 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_648])])). 117.31/116.69 tff(f3229,plain,( 117.31/116.69 ( ! [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_42), 117.31/116.69 inference(resolution,[],[f1440,f403])). 117.31/116.69 tff(f403,plain,( 117.31/116.69 ( ! [X2:map_int_int,X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)) )), 117.31/116.69 inference(cnf_transformation,[],[f149])). 117.31/116.69 tff(f149,plain,( 117.31/116.69 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | ~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0))), 117.31/116.69 inference(flattening,[],[f148])). 117.31/116.69 tff(f148,plain,( 117.31/116.69 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : (valid1(X0,X1) | (~included1(X1,X2) | ~valid1(X0,X2) | ~well_formed_sudoku1(X0)))), 117.31/116.69 inference(ennf_transformation,[],[f110])). 117.31/116.69 tff(f110,plain,( 117.31/116.69 ! [X0 : sudoku_chunks1,X1 : map_int_int,X2 : map_int_int] : ((included1(X1,X2) & valid1(X0,X2) & well_formed_sudoku1(X0)) => valid1(X0,X1))), 117.31/116.69 inference(rectify,[],[f62])). 117.31/116.69 tff(f62,axiom,( 117.31/116.69 ! [X0 : sudoku_chunks1,X1 : map_int_int,X47 : map_int_int] : ((included1(X1,X47) & valid1(X0,X47) & well_formed_sudoku1(X0)) => valid1(X0,X1))), 117.31/116.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_valid)). 117.31/116.69 tff(f1440,plain,( 117.31/116.69 ( ! [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_42), 117.31/116.69 inference(resolution,[],[f704,f403])). 117.31/116.69 tff(f3227,plain,( 117.31/116.69 ~spl30_647 | spl30_283), 117.31/116.69 inference(avatar_split_clause,[],[f3223,f1536,f3225])). 117.31/116.69 tff(f3225,plain,( 117.31/116.69 spl30_647 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_647])])). 117.31/116.69 tff(f3223,plain,( 117.31/116.69 ~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_283), 117.31/116.69 inference(forward_demodulation,[],[f3222,f455])). 117.31/116.69 tff(f3222,plain,( 117.31/116.69 ~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_283), 117.31/116.69 inference(forward_demodulation,[],[f3220,f457])). 117.31/116.69 tff(f3220,plain,( 117.31/116.69 ~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_283), 117.31/116.69 inference(resolution,[],[f1537,f405])). 117.31/116.69 tff(f3217,plain,( 117.31/116.69 ~spl30_645 | spl30_281), 117.31/116.69 inference(avatar_split_clause,[],[f3213,f1533,f3215])). 117.31/116.69 tff(f3215,plain,( 117.31/116.69 spl30_645 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_645])])). 117.31/116.69 tff(f3213,plain,( 117.31/116.69 ~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_281), 117.31/116.69 inference(forward_demodulation,[],[f3212,f456])). 117.31/116.69 tff(f3212,plain,( 117.31/116.69 ~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_281), 117.31/116.69 inference(forward_demodulation,[],[f3210,f454])). 117.31/116.69 tff(f3210,plain,( 117.31/116.69 ~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_281), 117.31/116.69 inference(resolution,[],[f1534,f406])). 117.31/116.69 tff(f3207,plain,( 117.31/116.69 ~spl30_643 | spl30_279), 117.31/116.69 inference(avatar_split_clause,[],[f3203,f1530,f3205])). 117.31/116.69 tff(f3205,plain,( 117.31/116.69 spl30_643 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_643])])). 117.31/116.69 tff(f3203,plain,( 117.31/116.69 ~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_279), 117.31/116.69 inference(forward_demodulation,[],[f3202,f458])). 117.31/116.69 tff(f3202,plain,( 117.31/116.69 ~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_279), 117.31/116.69 inference(forward_demodulation,[],[f3200,f459])). 117.31/116.69 tff(f3200,plain,( 117.31/116.69 ~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_279), 117.31/116.69 inference(resolution,[],[f1531,f408])). 117.31/116.69 tff(f3197,plain,( 117.31/116.69 ~spl30_641 | spl30_269), 117.31/116.69 inference(avatar_split_clause,[],[f3193,f1499,f3195])). 117.31/116.69 tff(f3195,plain,( 117.31/116.69 spl30_641 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_641])])). 117.31/116.69 tff(f3193,plain,( 117.31/116.69 ~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_269), 117.31/116.69 inference(forward_demodulation,[],[f3192,f455])). 117.31/116.69 tff(f3192,plain,( 117.31/116.69 ~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_269), 117.31/116.69 inference(forward_demodulation,[],[f3190,f457])). 117.31/116.69 tff(f3190,plain,( 117.31/116.69 ~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_269), 117.31/116.69 inference(resolution,[],[f1500,f405])). 117.31/116.69 tff(f3177,plain,( 117.31/116.69 ~spl30_639 | spl30_500 | ~spl30_24 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f3170,f1493,f612,f2819,f3175])). 117.31/116.69 tff(f3175,plain,( 117.31/116.69 spl30_639 <=> ~$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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_639])])). 117.31/116.69 tff(f2819,plain,( 117.31/116.69 spl30_500 <=> $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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_500])])). 117.31/116.69 tff(f3170,plain,( 117.31/116.69 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_24 | ~spl30_265)), 117.31/116.69 inference(resolution,[],[f1494,f2869])). 117.31/116.69 tff(f3139,plain,( 117.31/116.69 spl30_294 | spl30_28 | spl30_634 | spl30_636 | spl30_27), 117.31/116.69 inference(avatar_split_clause,[],[f3132,f616,f3137,f3134,f719,f1575])). 117.31/116.69 tff(f1575,plain,( 117.31/116.69 spl30_294 <=> $less(81,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_294])])). 117.31/116.69 tff(f719,plain,( 117.31/116.69 spl30_28 <=> $less(sK14,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 117.31/116.69 tff(f3134,plain,( 117.31/116.69 spl30_634 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(80))) = tb2t1(get(int,int,t2tb(X11),t2tb1(80))) | ~grid_eq_sub1(X10,X11,0,81))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_634])])). 117.31/116.69 tff(f616,plain,( 117.31/116.69 spl30_27 <=> ~$less(80,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 117.31/116.69 tff(f3132,plain,( 117.31/116.69 ( ! [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) | $less(81,sK14)) ) | ~spl30_27), 117.31/116.69 inference(resolution,[],[f724,f425])). 117.31/116.69 tff(f724,plain,( 117.31/116.69 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (~grid_eq_sub1(X0,X1,sK14,X2) | ~$less(80,X2) | tb2t1(get(int,int,t2tb(X0),t2tb1(80))) = tb2t1(get(int,int,t2tb(X1),t2tb1(80)))) ) | ~spl30_27), 117.31/116.69 inference(resolution,[],[f617,f429])). 117.31/116.69 tff(f429,plain,( 117.31/116.69 ( ! [X4:$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)) )), 117.31/116.69 inference(cnf_transformation,[],[f210])). 117.31/116.69 tff(f210,plain,( 117.31/116.69 ! [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))))), 117.31/116.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f208,f209])). 117.31/116.69 tff(f209,plain,( 117.31/116.69 ! [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)))), 117.31/116.69 introduced(choice_axiom,[])). 117.31/116.69 tff(f208,plain,( 117.31/116.69 ! [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))))), 117.31/116.69 inference(rectify,[],[f207])). 117.31/116.69 tff(f207,plain,( 117.31/116.69 ! [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))))), 117.31/116.69 inference(nnf_transformation,[],[f156])). 117.31/116.69 tff(f156,plain,( 117.31/116.69 ! [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))), 117.31/116.69 inference(flattening,[],[f155])). 117.31/116.69 tff(f155,plain,( 117.31/116.69 ! [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))), 117.31/116.69 inference(ennf_transformation,[],[f118])). 117.31/116.69 tff(f118,plain,( 117.31/116.69 ! [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))), 117.31/116.69 inference(rectify,[],[f73])). 117.31/116.69 tff(f73,plain,( 117.31/116.69 ! [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))), 117.31/116.69 inference(evaluation,[],[f32])). 117.31/116.69 tff(f32,axiom,( 117.31/116.69 ! [X31 : map_int_int,X41 : map_int_int,X16 : $int,X17 : $int] : (! [X3 : $int] : (($less(X3,X17) & $lesseq(X16,X3)) => tb2t1(get(int,int,t2tb(X31),t2tb1(X3))) = tb2t1(get(int,int,t2tb(X41),t2tb1(X3)))) <=> grid_eq_sub1(X31,X41,X16,X17))), 117.31/116.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grid_eq_sub_def)). 117.31/116.69 tff(f617,plain,( 117.31/116.69 ~$less(80,sK14) | ~spl30_27), 117.31/116.69 inference(avatar_component_clause,[],[f616])). 117.31/116.69 tff(f3126,plain,( 117.31/116.69 spl30_28 | ~spl30_291 | spl30_632 | ~spl30_292), 117.31/116.69 inference(avatar_split_clause,[],[f3122,f1571,f3124,f1568,f719])). 117.31/116.69 tff(f1568,plain,( 117.31/116.69 spl30_291 <=> ~$less(sK14,9)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_291])])). 117.31/116.69 tff(f3124,plain,( 117.31/116.69 spl30_632 <=> ! [X1 : array_int,X0 : array_int,X2 : $int] : (~chunk_valid_indexes1(X0,X1) | ~disjoint_chunks1(X0,X1) | tb2t1(get2(int,t2tb2(X0),X2)) = tb2t1(get2(int,t2tb2(X0),$sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),sK14))))) | ~is_index1(X2))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_632])])). 117.31/116.69 tff(f1571,plain,( 117.31/116.69 spl30_292 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_292])])). 117.31/116.69 tff(f3122,plain,( 117.31/116.69 ( ! [X2:$int,X0:array_int,X1:array_int] : (~chunk_valid_indexes1(X0,X1) | ~is_index1(X2) | tb2t1(get2(int,t2tb2(X0),X2)) = tb2t1(get2(int,t2tb2(X0),$sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),sK14))))) | ~$less(sK14,9) | $less(sK14,0) | ~disjoint_chunks1(X0,X1)) ) | ~spl30_292), 117.31/116.69 inference(duplicate_literal_removal,[],[f3104])). 117.31/116.69 tff(f3104,plain,( 117.31/116.69 ( ! [X2:$int,X0:array_int,X1:array_int] : (~chunk_valid_indexes1(X0,X1) | ~is_index1(X2) | tb2t1(get2(int,t2tb2(X0),X2)) = tb2t1(get2(int,t2tb2(X0),$sum(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X1),sK14))))) | ~is_index1(X2) | ~$less(sK14,9) | $less(sK14,0) | ~disjoint_chunks1(X0,X1)) ) | ~spl30_292), 117.31/116.69 inference(resolution,[],[f1572,f461])). 117.31/116.69 tff(f1572,plain,( 117.31/116.69 ( ! [X2:array_int,X0:array_int,X1:$int] : (is_index1($sum(tb2t1(get2(int,t2tb2(X0),X1)),tb2t1(get2(int,t2tb2(X2),sK14)))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1)) ) | ~spl30_292), 117.31/116.69 inference(avatar_component_clause,[],[f1571])). 117.31/116.69 tff(f3103,plain,( 117.31/116.69 spl30_28 | spl30_630 | ~spl30_48), 117.31/116.69 inference(avatar_split_clause,[],[f3086,f2865,f3101,f719])). 117.31/116.69 tff(f3101,plain,( 117.31/116.69 spl30_630 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,sK14) | ~valid_up_to1(X17,X18,81))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_630])])). 117.31/116.69 tff(f3086,plain,( 117.31/116.69 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK14) | $less(sK14,0) | ~valid_up_to1(X17,X18,81)) ) | ~spl30_48), 117.31/116.69 inference(resolution,[],[f2866,f419])). 117.31/116.69 tff(f3099,plain,( 117.31/116.69 spl30_28 | spl30_628 | ~spl30_48), 117.31/116.69 inference(avatar_split_clause,[],[f3085,f2865,f3097,f719])). 117.31/116.69 tff(f3097,plain,( 117.31/116.69 spl30_628 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK14) | ~valid_up_to1(X15,X16,81))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_628])])). 117.31/116.69 tff(f3085,plain,( 117.31/116.69 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK14) | $less(sK14,0) | ~valid_up_to1(X15,X16,81)) ) | ~spl30_48), 117.31/116.69 inference(resolution,[],[f2866,f418])). 117.31/116.69 tff(f3095,plain,( 117.31/116.69 spl30_28 | spl30_626 | ~spl30_48), 117.31/116.69 inference(avatar_split_clause,[],[f3084,f2865,f3093,f719])). 117.31/116.69 tff(f3093,plain,( 117.31/116.69 spl30_626 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK14) | ~valid_up_to1(X13,X14,81))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_626])])). 117.31/116.69 tff(f3084,plain,( 117.31/116.69 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK14) | $less(sK14,0) | ~valid_up_to1(X13,X14,81)) ) | ~spl30_48), 117.31/116.69 inference(resolution,[],[f2866,f417])). 117.31/116.69 tff(f3091,plain,( 117.31/116.69 spl30_28 | spl30_624 | ~spl30_48), 117.31/116.69 inference(avatar_split_clause,[],[f3082,f2865,f3088,f719])). 117.31/116.69 tff(f3088,plain,( 117.31/116.69 spl30_624 <=> ! [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),sK14)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) | ~valid_chunk_up_to1(X0,X2,X1,X3,81) | sK14 = X4 | ~$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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_624])])). 117.31/116.69 tff(f3082,plain,( 117.31/116.69 ( ! [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_48), 117.31/116.69 inference(resolution,[],[f2866,f453])). 117.31/116.69 tff(f3090,plain,( 117.31/116.69 spl30_28 | spl30_624 | ~spl30_48), 117.31/116.69 inference(avatar_split_clause,[],[f3081,f2865,f3088,f719])). 117.31/116.69 tff(f3081,plain,( 117.31/116.69 ( ! [X4:$int,X2:$int,X0:map_int_int,X3:array_int,X1:array_int] : (tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK14)))))) != tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),X4)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($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_48), 117.31/116.69 inference(resolution,[],[f2866,f453])). 117.31/116.69 tff(f3079,plain,( 117.31/116.69 ~spl30_19 | ~spl30_3 | spl30_622 | ~spl30_288), 117.31/116.69 inference(avatar_split_clause,[],[f3065,f1548,f3077,f578,f602])). 117.31/116.69 tff(f3077,plain,( 117.31/116.69 spl30_622 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_622])])). 117.31/116.69 tff(f1548,plain,( 117.31/116.69 spl30_288 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_288])])). 117.31/116.69 tff(f3065,plain,( 117.31/116.69 ( ! [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_288), 117.31/116.69 inference(resolution,[],[f1549,f365])). 117.31/116.69 tff(f1549,plain,( 117.31/116.69 ( ! [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_288), 117.31/116.69 inference(avatar_component_clause,[],[f1548])). 117.31/116.69 tff(f3063,plain,( 117.31/116.69 ~spl30_19 | ~spl30_7 | spl30_620 | ~spl30_286), 117.31/116.69 inference(avatar_split_clause,[],[f3049,f1544,f3061,f584,f602])). 117.31/116.69 tff(f3061,plain,( 117.31/116.69 spl30_620 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_620])])). 117.31/116.69 tff(f1544,plain,( 117.31/116.69 spl30_286 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_286])])). 117.31/116.69 tff(f3049,plain,( 117.31/116.69 ( ! [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_286), 117.31/116.69 inference(resolution,[],[f1545,f365])). 117.31/116.69 tff(f1545,plain,( 117.31/116.69 ( ! [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_286), 117.31/116.69 inference(avatar_component_clause,[],[f1544])). 117.31/116.69 tff(f3047,plain,( 117.31/116.69 ~spl30_19 | ~spl30_13 | spl30_618 | ~spl30_284), 117.31/116.69 inference(avatar_split_clause,[],[f3033,f1540,f3045,f593,f602])). 117.31/116.69 tff(f3045,plain,( 117.31/116.69 spl30_618 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_618])])). 117.31/116.69 tff(f1540,plain,( 117.31/116.69 spl30_284 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_284])])). 117.31/116.69 tff(f3033,plain,( 117.31/116.69 ( ! [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_284), 117.31/116.69 inference(resolution,[],[f1541,f365])). 117.31/116.69 tff(f1541,plain,( 117.31/116.69 ( ! [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_284), 117.31/116.69 inference(avatar_component_clause,[],[f1540])). 117.31/116.69 tff(f3014,plain,( 117.31/116.69 spl30_616 | ~spl30_613 | ~spl30_24 | spl30_29), 117.31/116.69 inference(avatar_split_clause,[],[f2894,f620,f612,f3004,f3012])). 117.31/116.69 tff(f3012,plain,( 117.31/116.69 spl30_616 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_616])])). 117.31/116.69 tff(f3004,plain,( 117.31/116.69 spl30_613 <=> ~$less(sK14,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_613])])). 117.31/116.69 tff(f620,plain,( 117.31/116.69 spl30_29 <=> ~$less(sK14,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 117.31/116.69 tff(f2894,plain,( 117.31/116.69 ~$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_24 | ~spl30_29)), 117.31/116.69 inference(resolution,[],[f613,f1557])). 117.31/116.69 tff(f1557,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK14,X13) | valid_column1(X11,X12,sK14)) ) | ~spl30_29), 117.31/116.69 inference(resolution,[],[f621,f419])). 117.31/116.69 tff(f621,plain,( 117.31/116.69 ~$less(sK14,0) | ~spl30_29), 117.31/116.69 inference(avatar_component_clause,[],[f620])). 117.31/116.69 tff(f3010,plain,( 117.31/116.69 spl30_614 | ~spl30_613 | ~spl30_24 | spl30_29), 117.31/116.69 inference(avatar_split_clause,[],[f2893,f620,f612,f3004,f3008])). 117.31/116.69 tff(f3008,plain,( 117.31/116.69 spl30_614 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_614])])). 117.31/116.69 tff(f2893,plain,( 117.31/116.69 ~$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_24 | ~spl30_29)), 117.31/116.69 inference(resolution,[],[f613,f1556])). 117.31/116.69 tff(f1556,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK14,X10) | valid_row1(X8,X9,sK14)) ) | ~spl30_29), 117.31/116.69 inference(resolution,[],[f621,f418])). 117.31/116.69 tff(f3006,plain,( 117.31/116.69 spl30_610 | ~spl30_613 | ~spl30_24 | spl30_29), 117.31/116.69 inference(avatar_split_clause,[],[f2892,f620,f612,f3004,f3001])). 117.31/116.69 tff(f3001,plain,( 117.31/116.69 spl30_610 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_610])])). 117.31/116.69 tff(f2892,plain,( 117.31/116.69 ~$less(sK14,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK14) | (~spl30_24 | ~spl30_29)), 117.31/116.69 inference(resolution,[],[f613,f1555])). 117.31/116.69 tff(f1555,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK14,X7) | valid_square1(X5,X6,sK14)) ) | ~spl30_29), 117.31/116.69 inference(resolution,[],[f621,f417])). 117.31/116.69 tff(f2999,plain,( 117.31/116.69 spl30_608 | ~spl30_605 | ~spl30_24 | spl30_47), 117.31/116.69 inference(avatar_split_clause,[],[f2891,f711,f612,f2989,f2997])). 117.31/116.69 tff(f2997,plain,( 117.31/116.69 spl30_608 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_608])])). 117.31/116.69 tff(f2989,plain,( 117.31/116.69 spl30_605 <=> ~$less(sK2,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_605])])). 117.31/116.69 tff(f711,plain,( 117.31/116.69 spl30_47 <=> ~$less(sK2,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 117.31/116.69 tff(f2891,plain,( 117.31/116.69 ~$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_24 | ~spl30_47)), 117.31/116.69 inference(resolution,[],[f613,f1032])). 117.31/116.69 tff(f1032,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK2,X13) | valid_column1(X11,X12,sK2)) ) | ~spl30_47), 117.31/116.69 inference(resolution,[],[f712,f419])). 117.31/116.69 tff(f712,plain,( 117.31/116.69 ~$less(sK2,0) | ~spl30_47), 117.31/116.69 inference(avatar_component_clause,[],[f711])). 117.31/116.69 tff(f2995,plain,( 117.31/116.69 spl30_606 | ~spl30_605 | ~spl30_24 | spl30_47), 117.31/116.69 inference(avatar_split_clause,[],[f2890,f711,f612,f2989,f2993])). 117.31/116.69 tff(f2993,plain,( 117.31/116.69 spl30_606 <=> valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_606])])). 117.31/116.69 tff(f2890,plain,( 117.31/116.69 ~$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_24 | ~spl30_47)), 117.31/116.69 inference(resolution,[],[f613,f1031])). 117.31/116.69 tff(f1031,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK2,X10) | valid_row1(X8,X9,sK2)) ) | ~spl30_47), 117.31/116.69 inference(resolution,[],[f712,f418])). 117.31/116.69 tff(f2991,plain,( 117.31/116.69 spl30_602 | ~spl30_605 | ~spl30_24 | spl30_47), 117.31/116.69 inference(avatar_split_clause,[],[f2889,f711,f612,f2989,f2986])). 117.31/116.69 tff(f2986,plain,( 117.31/116.69 spl30_602 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_602])])). 117.31/116.69 tff(f2889,plain,( 117.31/116.69 ~$less(sK2,sK14) | valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK2) | (~spl30_24 | ~spl30_47)), 117.31/116.69 inference(resolution,[],[f613,f1030])). 117.31/116.69 tff(f1030,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK2,X7) | valid_square1(X5,X6,sK2)) ) | ~spl30_47), 117.31/116.69 inference(resolution,[],[f712,f417])). 117.31/116.69 tff(f2984,plain,( 117.31/116.69 spl30_600 | ~spl30_597 | ~spl30_24 | spl30_45), 117.31/116.69 inference(avatar_split_clause,[],[f2888,f707,f612,f2974,f2982])). 117.31/116.69 tff(f2982,plain,( 117.31/116.69 spl30_600 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_600])])). 117.31/116.69 tff(f707,plain,( 117.31/116.69 spl30_45 <=> ~$less(sK6,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 117.31/116.69 tff(f2888,plain,( 117.31/116.69 ~$less(sK6,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_24 | ~spl30_45)), 117.31/116.69 inference(resolution,[],[f613,f983])). 117.31/116.69 tff(f983,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK6,X13) | valid_column1(X11,X12,sK6)) ) | ~spl30_45), 117.31/116.69 inference(resolution,[],[f708,f419])). 117.31/116.69 tff(f708,plain,( 117.31/116.69 ~$less(sK6,0) | ~spl30_45), 117.31/116.69 inference(avatar_component_clause,[],[f707])). 117.31/116.69 tff(f2980,plain,( 117.31/116.69 spl30_598 | ~spl30_597 | ~spl30_24 | spl30_45), 117.31/116.69 inference(avatar_split_clause,[],[f2887,f707,f612,f2974,f2978])). 117.31/116.69 tff(f2978,plain,( 117.31/116.69 spl30_598 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_598])])). 117.31/116.69 tff(f2887,plain,( 117.31/116.69 ~$less(sK6,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6) | (~spl30_24 | ~spl30_45)), 117.31/116.69 inference(resolution,[],[f613,f982])). 117.31/116.69 tff(f982,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK6,X10) | valid_row1(X8,X9,sK6)) ) | ~spl30_45), 117.31/116.69 inference(resolution,[],[f708,f418])). 117.31/116.69 tff(f2976,plain,( 117.31/116.69 spl30_594 | ~spl30_597 | ~spl30_24 | spl30_45), 117.31/116.69 inference(avatar_split_clause,[],[f2886,f707,f612,f2974,f2971])). 117.31/116.69 tff(f2971,plain,( 117.31/116.69 spl30_594 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK6)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_594])])). 117.31/116.69 tff(f2886,plain,( 117.31/116.69 ~$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_24 | ~spl30_45)), 117.31/116.69 inference(resolution,[],[f613,f981])). 117.31/116.69 tff(f981,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK6,X7) | valid_square1(X5,X6,sK6)) ) | ~spl30_45), 117.31/116.69 inference(resolution,[],[f708,f417])). 117.31/116.69 tff(f2969,plain,( 117.31/116.69 ~spl30_295 | spl30_592 | ~spl30_20 | ~spl30_24 | spl30_41), 117.31/116.69 inference(avatar_split_clause,[],[f2885,f691,f612,f699,f2967,f2956])). 117.31/116.69 tff(f2956,plain,( 117.31/116.69 spl30_295 <=> ~$less(81,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_295])])). 117.31/116.69 tff(f2967,plain,( 117.31/116.69 spl30_592 <=> valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_592])])). 117.31/116.69 tff(f699,plain,( 117.31/116.69 spl30_20 <=> 81 = sK12), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 117.31/116.69 tff(f691,plain,( 117.31/116.69 spl30_41 <=> ~$less(sK12,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 117.31/116.69 tff(f2885,plain,( 117.31/116.69 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) | ~$less(81,sK14) | (~spl30_20 | ~spl30_24 | ~spl30_41)), 117.31/116.69 inference(resolution,[],[f613,f947])). 117.31/116.69 tff(f947,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | valid_column1(X11,X12,81) | ~$less(81,X13)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f946,f700])). 117.31/116.69 tff(f700,plain,( 117.31/116.69 81 = sK12 | ~spl30_20), 117.31/116.69 inference(avatar_component_clause,[],[f699])). 117.31/116.69 tff(f946,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,81) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f927,f700])). 117.31/116.69 tff(f927,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (valid_column1(X11,X12,sK12) | ~$less(sK12,X13) | ~valid_up_to1(X11,X12,X13)) ) | ~spl30_41), 117.31/116.69 inference(resolution,[],[f692,f419])). 117.31/116.69 tff(f692,plain,( 117.31/116.69 ~$less(sK12,0) | ~spl30_41), 117.31/116.69 inference(avatar_component_clause,[],[f691])). 117.31/116.69 tff(f2965,plain,( 117.31/116.69 ~spl30_295 | spl30_590 | ~spl30_20 | ~spl30_24 | spl30_41), 117.31/116.69 inference(avatar_split_clause,[],[f2884,f691,f612,f699,f2963,f2956])). 117.31/116.69 tff(f2963,plain,( 117.31/116.69 spl30_590 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_590])])). 117.31/116.69 tff(f2884,plain,( 117.31/116.69 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) | ~$less(81,sK14) | (~spl30_20 | ~spl30_24 | ~spl30_41)), 117.31/116.69 inference(resolution,[],[f613,f945])). 117.31/116.69 tff(f945,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | valid_row1(X8,X9,81) | ~$less(81,X10)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f944,f700])). 117.31/116.69 tff(f944,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,81) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f926,f700])). 117.31/116.69 tff(f926,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (valid_row1(X8,X9,sK12) | ~$less(sK12,X10) | ~valid_up_to1(X8,X9,X10)) ) | ~spl30_41), 117.31/116.69 inference(resolution,[],[f692,f418])). 117.31/116.69 tff(f2961,plain,( 117.31/116.69 ~spl30_295 | spl30_588 | ~spl30_20 | ~spl30_24 | spl30_41), 117.31/116.69 inference(avatar_split_clause,[],[f2883,f691,f612,f699,f2959,f2956])). 117.31/116.69 tff(f2959,plain,( 117.31/116.69 spl30_588 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_588])])). 117.31/116.69 tff(f2883,plain,( 117.31/116.69 valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$less(81,sK14) | (~spl30_20 | ~spl30_24 | ~spl30_41)), 117.31/116.69 inference(resolution,[],[f613,f943])). 117.31/116.69 tff(f943,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | valid_square1(X5,X6,81) | ~$less(81,X7)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f942,f700])). 117.31/116.69 tff(f942,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,81) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | (~spl30_20 | ~spl30_41)), 117.31/116.69 inference(forward_demodulation,[],[f925,f700])). 117.31/116.69 tff(f925,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (valid_square1(X5,X6,sK12) | ~$less(sK12,X7) | ~valid_up_to1(X5,X6,X7)) ) | ~spl30_41), 117.31/116.69 inference(resolution,[],[f692,f417])). 117.31/116.69 tff(f2954,plain,( 117.31/116.69 spl30_586 | ~spl30_583 | ~spl30_24 | spl30_39), 117.31/116.69 inference(avatar_split_clause,[],[f2882,f687,f612,f2944,f2952])). 117.31/116.69 tff(f2952,plain,( 117.31/116.69 spl30_586 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_586])])). 117.31/116.69 tff(f2944,plain,( 117.31/116.69 spl30_583 <=> ~$less(sK10,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_583])])). 117.31/116.69 tff(f687,plain,( 117.31/116.69 spl30_39 <=> ~$less(sK10,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 117.31/116.69 tff(f2882,plain,( 117.31/116.69 ~$less(sK10,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_24 | ~spl30_39)), 117.31/116.69 inference(resolution,[],[f613,f878])). 117.31/116.69 tff(f878,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK10,X13) | valid_column1(X11,X12,sK10)) ) | ~spl30_39), 117.31/116.69 inference(resolution,[],[f688,f419])). 117.31/116.69 tff(f688,plain,( 117.31/116.69 ~$less(sK10,0) | ~spl30_39), 117.31/116.69 inference(avatar_component_clause,[],[f687])). 117.31/116.69 tff(f2950,plain,( 117.31/116.69 spl30_584 | ~spl30_583 | ~spl30_24 | spl30_39), 117.31/116.69 inference(avatar_split_clause,[],[f2881,f687,f612,f2944,f2948])). 117.31/116.69 tff(f2948,plain,( 117.31/116.69 spl30_584 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_584])])). 117.31/116.69 tff(f2881,plain,( 117.31/116.69 ~$less(sK10,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10) | (~spl30_24 | ~spl30_39)), 117.31/116.69 inference(resolution,[],[f613,f877])). 117.31/116.69 tff(f877,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK10,X10) | valid_row1(X8,X9,sK10)) ) | ~spl30_39), 117.31/116.69 inference(resolution,[],[f688,f418])). 117.31/116.69 tff(f2946,plain,( 117.31/116.69 spl30_580 | ~spl30_583 | ~spl30_24 | spl30_39), 117.31/116.69 inference(avatar_split_clause,[],[f2880,f687,f612,f2944,f2941])). 117.31/116.69 tff(f2941,plain,( 117.31/116.69 spl30_580 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK10)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_580])])). 117.31/116.69 tff(f2880,plain,( 117.31/116.69 ~$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_24 | ~spl30_39)), 117.31/116.69 inference(resolution,[],[f613,f876])). 117.31/116.69 tff(f876,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK10,X7) | valid_square1(X5,X6,sK10)) ) | ~spl30_39), 117.31/116.69 inference(resolution,[],[f688,f417])). 117.31/116.69 tff(f2939,plain,( 117.31/116.69 spl30_578 | ~spl30_575 | ~spl30_24 | spl30_37), 117.31/116.69 inference(avatar_split_clause,[],[f2879,f683,f612,f2929,f2937])). 117.31/116.69 tff(f2937,plain,( 117.31/116.69 spl30_578 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_578])])). 117.31/116.69 tff(f2929,plain,( 117.31/116.69 spl30_575 <=> ~$less(sK8,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_575])])). 117.31/116.69 tff(f683,plain,( 117.31/116.69 spl30_37 <=> ~$less(sK8,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 117.31/116.69 tff(f2879,plain,( 117.31/116.69 ~$less(sK8,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_24 | ~spl30_37)), 117.31/116.69 inference(resolution,[],[f613,f829])). 117.31/116.69 tff(f829,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK8,X13) | valid_column1(X11,X12,sK8)) ) | ~spl30_37), 117.31/116.69 inference(resolution,[],[f684,f419])). 117.31/116.69 tff(f684,plain,( 117.31/116.69 ~$less(sK8,0) | ~spl30_37), 117.31/116.69 inference(avatar_component_clause,[],[f683])). 117.31/116.69 tff(f2935,plain,( 117.31/116.69 spl30_576 | ~spl30_575 | ~spl30_24 | spl30_37), 117.31/116.69 inference(avatar_split_clause,[],[f2878,f683,f612,f2929,f2933])). 117.31/116.69 tff(f2933,plain,( 117.31/116.69 spl30_576 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_576])])). 117.31/116.69 tff(f2878,plain,( 117.31/116.69 ~$less(sK8,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8) | (~spl30_24 | ~spl30_37)), 117.31/116.69 inference(resolution,[],[f613,f828])). 117.31/116.69 tff(f828,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK8,X10) | valid_row1(X8,X9,sK8)) ) | ~spl30_37), 117.31/116.69 inference(resolution,[],[f684,f418])). 117.31/116.69 tff(f2931,plain,( 117.31/116.69 spl30_572 | ~spl30_575 | ~spl30_24 | spl30_37), 117.31/116.69 inference(avatar_split_clause,[],[f2877,f683,f612,f2929,f2926])). 117.31/116.69 tff(f2926,plain,( 117.31/116.69 spl30_572 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK8)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_572])])). 117.31/116.69 tff(f2877,plain,( 117.31/116.69 ~$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_24 | ~spl30_37)), 117.31/116.69 inference(resolution,[],[f613,f827])). 117.31/116.69 tff(f827,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK8,X7) | valid_square1(X5,X6,sK8)) ) | ~spl30_37), 117.31/116.69 inference(resolution,[],[f684,f417])). 117.31/116.69 tff(f2924,plain,( 117.31/116.69 spl30_570 | ~spl30_567 | ~spl30_24 | spl30_35), 117.31/116.69 inference(avatar_split_clause,[],[f2876,f679,f612,f2914,f2922])). 117.31/116.69 tff(f2922,plain,( 117.31/116.69 spl30_570 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_570])])). 117.31/116.69 tff(f2914,plain,( 117.31/116.69 spl30_567 <=> ~$less(sK4,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_567])])). 117.31/116.69 tff(f679,plain,( 117.31/116.69 spl30_35 <=> ~$less(sK4,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 117.31/116.69 tff(f2876,plain,( 117.31/116.69 ~$less(sK4,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_24 | ~spl30_35)), 117.31/116.69 inference(resolution,[],[f613,f780])). 117.31/116.69 tff(f780,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK4,X13) | valid_column1(X11,X12,sK4)) ) | ~spl30_35), 117.31/116.69 inference(resolution,[],[f680,f419])). 117.31/116.69 tff(f680,plain,( 117.31/116.69 ~$less(sK4,0) | ~spl30_35), 117.31/116.69 inference(avatar_component_clause,[],[f679])). 117.31/116.69 tff(f2920,plain,( 117.31/116.69 spl30_568 | ~spl30_567 | ~spl30_24 | spl30_35), 117.31/116.69 inference(avatar_split_clause,[],[f2875,f679,f612,f2914,f2918])). 117.31/116.69 tff(f2918,plain,( 117.31/116.69 spl30_568 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_568])])). 117.31/116.69 tff(f2875,plain,( 117.31/116.69 ~$less(sK4,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4) | (~spl30_24 | ~spl30_35)), 117.31/116.69 inference(resolution,[],[f613,f779])). 117.31/116.69 tff(f779,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK4,X10) | valid_row1(X8,X9,sK4)) ) | ~spl30_35), 117.31/116.69 inference(resolution,[],[f680,f418])). 117.31/116.69 tff(f2916,plain,( 117.31/116.69 spl30_564 | ~spl30_567 | ~spl30_24 | spl30_35), 117.31/116.69 inference(avatar_split_clause,[],[f2874,f679,f612,f2914,f2911])). 117.31/116.69 tff(f2911,plain,( 117.31/116.69 spl30_564 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK4)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_564])])). 117.31/116.69 tff(f2874,plain,( 117.31/116.69 ~$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_24 | ~spl30_35)), 117.31/116.69 inference(resolution,[],[f613,f778])). 117.31/116.69 tff(f778,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK4,X7) | valid_square1(X5,X6,sK4)) ) | ~spl30_35), 117.31/116.69 inference(resolution,[],[f680,f417])). 117.31/116.69 tff(f2909,plain,( 117.31/116.69 spl30_562 | ~spl30_559 | ~spl30_24 | spl30_33), 117.31/116.69 inference(avatar_split_clause,[],[f2873,f675,f612,f2899,f2907])). 117.31/116.69 tff(f2907,plain,( 117.31/116.69 spl30_562 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_562])])). 117.31/116.69 tff(f2899,plain,( 117.31/116.69 spl30_559 <=> ~$less(sK0,sK14)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_559])])). 117.31/116.69 tff(f675,plain,( 117.31/116.69 spl30_33 <=> ~$less(sK0,0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 117.31/116.69 tff(f2873,plain,( 117.31/116.69 ~$less(sK0,sK14) | valid_column1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_24 | ~spl30_33)), 117.31/116.69 inference(resolution,[],[f613,f731])). 117.31/116.69 tff(f731,plain,( 117.31/116.69 ( ! [X12:map_int_int,X13:$int,X11:sudoku_chunks1] : (~valid_up_to1(X11,X12,X13) | ~$less(sK0,X13) | valid_column1(X11,X12,sK0)) ) | ~spl30_33), 117.31/116.69 inference(resolution,[],[f676,f419])). 117.31/116.69 tff(f676,plain,( 117.31/116.69 ~$less(sK0,0) | ~spl30_33), 117.31/116.69 inference(avatar_component_clause,[],[f675])). 117.31/116.69 tff(f2905,plain,( 117.31/116.69 spl30_560 | ~spl30_559 | ~spl30_24 | spl30_33), 117.31/116.69 inference(avatar_split_clause,[],[f2872,f675,f612,f2899,f2903])). 117.31/116.69 tff(f2903,plain,( 117.31/116.69 spl30_560 <=> 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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_560])])). 117.31/116.69 tff(f2872,plain,( 117.31/116.69 ~$less(sK0,sK14) | valid_row1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0) | (~spl30_24 | ~spl30_33)), 117.31/116.69 inference(resolution,[],[f613,f730])). 117.31/116.69 tff(f730,plain,( 117.31/116.69 ( ! [X10:$int,X8:sudoku_chunks1,X9:map_int_int] : (~valid_up_to1(X8,X9,X10) | ~$less(sK0,X10) | valid_row1(X8,X9,sK0)) ) | ~spl30_33), 117.31/116.69 inference(resolution,[],[f676,f418])). 117.31/116.69 tff(f2901,plain,( 117.31/116.69 spl30_556 | ~spl30_559 | ~spl30_24 | spl30_33), 117.31/116.69 inference(avatar_split_clause,[],[f2871,f675,f612,f2899,f2896])). 117.31/116.69 tff(f2896,plain,( 117.31/116.69 spl30_556 <=> valid_square1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,sK0)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_556])])). 117.31/116.69 tff(f2871,plain,( 117.31/116.69 ~$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_24 | ~spl30_33)), 117.31/116.69 inference(resolution,[],[f613,f729])). 117.31/116.69 tff(f729,plain,( 117.31/116.69 ( ! [X6:map_int_int,X7:$int,X5:sudoku_chunks1] : (~valid_up_to1(X5,X6,X7) | ~$less(sK0,X7) | valid_square1(X5,X6,sK0)) ) | ~spl30_33), 117.31/116.69 inference(resolution,[],[f676,f417])). 117.31/116.69 tff(f2867,plain,( 117.31/116.69 spl30_48 | ~spl30_18), 117.31/116.69 inference(avatar_split_clause,[],[f2853,f2846,f2865])). 117.31/116.69 tff(f2853,plain,( 117.31/116.69 $less(sK14,81) | ~spl30_18), 117.31/116.69 inference(resolution,[],[f2847,f357])). 117.31/116.69 tff(f2848,plain,( 117.31/116.69 ~spl30_49 | spl30_18 | spl30_29), 117.31/116.69 inference(avatar_split_clause,[],[f1552,f620,f2846,f716])). 117.31/116.69 tff(f716,plain,( 117.31/116.69 spl30_49 <=> ~$less(sK14,81)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 117.31/116.69 tff(f1552,plain,( 117.31/116.69 is_index1(sK14) | ~$less(sK14,81) | ~spl30_29), 117.31/116.69 inference(resolution,[],[f621,f356])). 117.31/116.69 tff(f2844,plain,( 117.31/116.69 ~spl30_265 | ~spl30_267 | spl30_22 | ~spl30_499 | spl30_500 | ~spl30_30), 117.31/116.69 inference(avatar_split_clause,[],[f2780,f639,f2819,f2816,f636,f1496,f1493])). 117.31/116.69 tff(f2816,plain,( 117.31/116.69 spl30_499 <=> ~$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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_499])])). 117.31/116.69 tff(f639,plain,( 117.31/116.69 spl30_30 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 117.31/116.69 tff(f2780,plain,( 117.31/116.69 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_30), 117.31/116.69 inference(resolution,[],[f1614,f383])). 117.31/116.69 tff(f383,plain,( 117.31/116.69 ( ! [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))) )), 117.31/116.69 inference(cnf_transformation,[],[f193])). 117.31/116.69 tff(f1614,plain,( 117.31/116.69 ( ! [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_30), 117.31/116.69 inference(resolution,[],[f640,f419])). 117.31/116.69 tff(f640,plain,( 117.31/116.69 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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_30), 117.31/116.69 inference(avatar_component_clause,[],[f639])). 117.31/116.69 tff(f2843,plain,( 117.31/116.69 ~spl30_555 | spl30_267), 117.31/116.69 inference(avatar_split_clause,[],[f2839,f1496,f2841])). 117.31/116.69 tff(f2841,plain,( 117.31/116.69 spl30_555 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_555])])). 117.31/116.69 tff(f2839,plain,( 117.31/116.69 ~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_267), 117.31/116.69 inference(forward_demodulation,[],[f2838,f458])). 117.31/116.69 tff(f2838,plain,( 117.31/116.69 ~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_267), 117.31/116.69 inference(forward_demodulation,[],[f2834,f459])). 117.31/116.69 tff(f2834,plain,( 117.31/116.69 ~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_267), 117.31/116.69 inference(resolution,[],[f1497,f408])). 117.31/116.69 tff(f2837,plain,( 117.31/116.69 spl30_550 | spl30_500 | spl30_267), 117.31/116.69 inference(avatar_split_clause,[],[f2833,f1496,f2819,f2823])). 117.31/116.69 tff(f2823,plain,( 117.31/116.69 spl30_550 <=> ! [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))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_550])])). 117.31/116.69 tff(f2833,plain,( 117.31/116.69 ( ! [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_267), 117.31/116.69 inference(resolution,[],[f1497,f417])). 117.31/116.69 tff(f2836,plain,( 117.31/116.69 ~spl30_499 | spl30_500 | ~spl30_30 | spl30_267), 117.31/116.69 inference(avatar_split_clause,[],[f2832,f1496,f639,f2819,f2816])). 117.31/116.69 tff(f2832,plain,( 117.31/116.69 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_30 | ~spl30_267)), 117.31/116.69 inference(resolution,[],[f1497,f1612])). 117.31/116.69 tff(f1612,plain,( 117.31/116.69 ( ! [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_30), 117.31/116.69 inference(resolution,[],[f640,f417])). 117.31/116.69 tff(f2831,plain,( 117.31/116.69 ~spl30_553 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f2827,f1493,f2829])). 117.31/116.69 tff(f2829,plain,( 117.31/116.69 spl30_553 <=> ~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))))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_553])])). 117.31/116.69 tff(f2827,plain,( 117.31/116.69 ~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_265), 117.31/116.69 inference(forward_demodulation,[],[f2826,f456])). 117.31/116.69 tff(f2826,plain,( 117.31/116.69 ~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_265), 117.31/116.69 inference(forward_demodulation,[],[f2813,f454])). 117.31/116.69 tff(f2813,plain,( 117.31/116.69 ~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_265), 117.31/116.69 inference(resolution,[],[f1494,f406])). 117.31/116.69 tff(f2825,plain,( 117.31/116.69 spl30_550 | spl30_500 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f2812,f1493,f2819,f2823])). 117.31/116.69 tff(f2812,plain,( 117.31/116.69 ( ! [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_265), 117.31/116.69 inference(resolution,[],[f1494,f418])). 117.31/116.69 tff(f2821,plain,( 117.31/116.69 ~spl30_499 | spl30_500 | ~spl30_30 | spl30_265), 117.31/116.69 inference(avatar_split_clause,[],[f2811,f1493,f639,f2819,f2816])). 117.31/116.69 tff(f2811,plain,( 117.31/116.69 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0) | ~$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_30 | ~spl30_265)), 117.31/116.69 inference(resolution,[],[f1494,f1613])). 117.31/116.69 tff(f1613,plain,( 117.31/116.69 ( ! [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_30), 117.31/116.69 inference(resolution,[],[f640,f418])). 117.31/116.69 tff(f2810,plain,( 117.31/116.69 spl30_312 | spl30_548 | ~spl30_310), 117.31/116.69 inference(avatar_split_clause,[],[f2790,f1619,f2808,f2792])). 117.31/116.69 tff(f2808,plain,( 117.31/116.69 spl30_548 <=> ! [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)))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_548])])). 117.31/116.69 tff(f2790,plain,( 117.31/116.69 ( ! [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,$sum(sK14,1))) ) | ~spl30_310), 117.31/116.69 inference(resolution,[],[f1620,f419])). 117.31/116.69 tff(f2806,plain,( 117.31/116.69 spl30_312 | spl30_546 | ~spl30_310), 117.31/116.69 inference(avatar_split_clause,[],[f2789,f1619,f2804,f2792])). 117.31/116.69 tff(f2804,plain,( 117.31/116.69 spl30_546 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X15,X16,$sum(sK14,1)))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_546])])). 117.31/116.69 tff(f2789,plain,( 117.31/116.69 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,$sum(sK14,1))) ) | ~spl30_310), 117.31/116.69 inference(resolution,[],[f1620,f418])). 117.31/116.69 tff(f2802,plain,( 117.31/116.69 spl30_312 | spl30_544 | ~spl30_310), 117.31/116.69 inference(avatar_split_clause,[],[f2788,f1619,f2800,f2792])). 117.31/116.69 tff(f2800,plain,( 117.31/116.69 spl30_544 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))) | ~valid_up_to1(X13,X14,$sum(sK14,1)))), 117.31/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_544])])). 117.37/116.69 tff(f2788,plain,( 117.37/116.69 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_310), 117.37/116.69 inference(resolution,[],[f1620,f417])). 117.37/116.69 tff(f2798,plain,( 117.37/116.69 spl30_312 | spl30_542 | ~spl30_310), 117.37/116.69 inference(avatar_split_clause,[],[f2786,f1619,f2795,f2792])). 117.37/116.69 tff(f2795,plain,( 117.37/116.69 spl30_542 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_542])])). 117.37/116.69 tff(f2786,plain,( 117.37/116.69 ( ! [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,$sum(sK14,1))) ) | ~spl30_310), 117.37/116.69 inference(resolution,[],[f1620,f453])). 117.37/116.69 tff(f2797,plain,( 117.37/116.69 spl30_312 | spl30_542 | ~spl30_310), 117.37/116.69 inference(avatar_split_clause,[],[f2785,f1619,f2795,f2792])). 117.37/116.69 tff(f2785,plain,( 117.37/116.69 ( ! [X4:$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_310), 117.37/116.69 inference(resolution,[],[f1620,f453])). 117.37/116.69 tff(f2769,plain,( 117.37/116.69 ~spl30_529 | spl30_540 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2733,f1623,f2767,f2744])). 117.37/116.69 tff(f2744,plain,( 117.37/116.69 spl30_529 <=> ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),9)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_529])])). 117.37/116.69 tff(f2767,plain,( 117.37/116.69 spl30_540 <=> ! [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,$sum(sK14,1)))))) | ~is_index1(X43))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_540])])). 117.37/116.69 tff(f1623,plain,( 117.37/116.69 spl30_313 <=> ~$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,$sum(sK14,1)),0)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_313])])). 117.37/116.69 tff(f2733,plain,( 117.37/116.69 ( ! [X43:$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_313), 117.37/116.69 inference(resolution,[],[f1624,f461])). 117.37/116.69 tff(f1624,plain,( 117.37/116.69 ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),0) | ~spl30_313), 117.37/116.69 inference(avatar_component_clause,[],[f1623])). 117.37/116.69 tff(f2765,plain,( 117.37/116.69 ~spl30_529 | spl30_538 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2730,f1623,f2762,f2744])). 117.37/116.69 tff(f2762,plain,( 117.37/116.69 spl30_538 <=> ! [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,$sum(sK14,1)))))))),1))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_538])])). 117.37/116.69 tff(f2730,plain,( 117.37/116.69 ( ! [X28:array_int,X26:array_int,X29:$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,$sum(sK14,1)) = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_313), 117.37/116.69 inference(resolution,[],[f1624,f440])). 117.37/116.69 tff(f2764,plain,( 117.37/116.69 ~spl30_529 | spl30_538 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2729,f1623,f2762,f2744])). 117.37/116.69 tff(f2729,plain,( 117.37/116.69 ( ! [X24:$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_313), 117.37/116.69 inference(resolution,[],[f1624,f440])). 117.37/116.69 tff(f2760,plain,( 117.37/116.69 spl30_532 | spl30_536 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2728,f1623,f2758,f2751])). 117.37/116.69 tff(f2751,plain,( 117.37/116.69 spl30_532 <=> $less(81,sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_532])])). 117.37/116.69 tff(f2758,plain,( 117.37/116.69 spl30_536 <=> ! [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) | $less(X19,0))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_536])])). 117.37/116.69 tff(f2728,plain,( 117.37/116.69 ( ! [X19:$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_313), 117.37/116.69 inference(resolution,[],[f1624,f425])). 117.37/116.69 tff(f2756,plain,( 117.37/116.69 spl30_532 | spl30_534 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2727,f1623,f2754,f2751])). 117.37/116.69 tff(f2754,plain,( 117.37/116.69 spl30_534 <=> ! [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) | $less(X16,0))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_534])])). 117.37/116.69 tff(f2727,plain,( 117.37/116.69 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_313), 117.37/116.69 inference(resolution,[],[f1624,f425])). 117.37/116.69 tff(f2749,plain,( 117.37/116.69 ~spl30_529 | spl30_530 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2722,f1623,f2747,f2744])). 117.37/116.69 tff(f2747,plain,( 117.37/116.69 spl30_530 <=> ! [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,$sum(sK14,1)))))) | ~chunk_valid_indexes1(X0,X2) | ~is_index1(X1))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_530])])). 117.37/116.69 tff(f2722,plain,( 117.37/116.69 ( ! [X2:array_int,X0:array_int,X1:$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_313), 117.37/116.69 inference(resolution,[],[f1624,f368])). 117.37/116.69 tff(f2742,plain,( 117.37/116.69 ~spl30_525 | spl30_526 | spl30_313), 117.37/116.69 inference(avatar_split_clause,[],[f2721,f1623,f2740,f2737])). 117.37/116.69 tff(f2737,plain,( 117.37/116.69 spl30_525 <=> ~$less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),81)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_525])])). 117.37/116.69 tff(f2740,plain,( 117.37/116.69 spl30_526 <=> 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,$sum(sK14,1)))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_526])])). 117.37/116.69 tff(f2721,plain,( 117.37/116.69 is_index1(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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_313), 117.37/116.69 inference(resolution,[],[f1624,f356])). 117.37/116.69 tff(f2717,plain,( 117.37/116.69 ~spl30_521 | spl30_522 | spl30_193), 117.37/116.69 inference(avatar_split_clause,[],[f2710,f1205,f2715,f2712])). 117.37/116.69 tff(f2712,plain,( 117.37/116.69 spl30_521 <=> ~$less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_521])])). 117.37/116.69 tff(f2715,plain,( 117.37/116.69 spl30_522 <=> $less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_522])])). 117.37/116.69 tff(f2710,plain,( 117.37/116.69 $less($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_193), 117.37/116.69 inference(resolution,[],[f1206,f356])). 117.37/116.69 tff(f2709,plain,( 117.37/116.69 ~spl30_517 | spl30_518 | spl30_181), 117.37/116.69 inference(avatar_split_clause,[],[f2702,f1161,f2707,f2704])). 117.37/116.69 tff(f2704,plain,( 117.37/116.69 spl30_517 <=> ~$less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_517])])). 117.37/116.69 tff(f2707,plain,( 117.37/116.69 spl30_518 <=> $less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_518])])). 117.37/116.69 tff(f2702,plain,( 117.37/116.69 $less($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_181), 117.37/116.69 inference(resolution,[],[f1162,f356])). 117.37/116.69 tff(f2701,plain,( 117.37/116.69 ~spl30_513 | spl30_514 | spl30_169), 117.37/116.69 inference(avatar_split_clause,[],[f2694,f1117,f2699,f2696])). 117.37/116.69 tff(f2696,plain,( 117.37/116.69 spl30_513 <=> ~$less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_513])])). 117.37/116.69 tff(f2699,plain,( 117.37/116.69 spl30_514 <=> $less($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_514])])). 117.37/116.69 tff(f2694,plain,( 117.37/116.69 $less($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_169), 117.37/116.69 inference(resolution,[],[f1118,f356])). 117.37/116.69 tff(f2693,plain,( 117.37/116.69 ~spl30_511 | ~spl30_276), 117.37/116.69 inference(avatar_split_clause,[],[f2679,f1522,f2691])). 117.37/116.69 tff(f2691,plain,( 117.37/116.69 spl30_511 <=> ~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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_511])])). 117.37/116.69 tff(f2679,plain,( 117.37/116.69 ~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_276), 117.37/116.69 inference(resolution,[],[f1523,f358])). 117.37/116.69 tff(f1523,plain,( 117.37/116.69 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0),0) | ~spl30_276), 117.37/116.69 inference(avatar_component_clause,[],[f1522])). 117.37/116.69 tff(f2689,plain,( 117.37/116.69 spl30_0 | ~spl30_276), 117.37/116.69 inference(avatar_split_clause,[],[f2678,f1522,f2687])). 117.37/116.69 tff(f2687,plain,( 117.37/116.69 spl30_0 <=> valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_0])])). 117.37/116.69 tff(f2678,plain,( 117.37/116.69 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0) | ~spl30_276), 117.37/116.69 inference(resolution,[],[f1523,f415])). 117.37/116.69 tff(f415,plain,( 117.37/116.69 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | ~$less(sK24(X0,X1,X2),0)) )), 117.37/116.69 inference(cnf_transformation,[],[f206])). 117.37/116.69 tff(f2677,plain,( 117.37/116.69 ~spl30_43 | spl30_508 | ~spl30_260), 117.37/116.69 inference(avatar_split_clause,[],[f2671,f1485,f2675,f1482])). 117.37/116.69 tff(f2675,plain,( 117.37/116.69 spl30_508 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_508])])). 117.37/116.69 tff(f1485,plain,( 117.37/116.69 spl30_260 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_260])])). 117.37/116.69 tff(f2671,plain,( 117.37/116.69 ( ! [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_260), 117.37/116.69 inference(resolution,[],[f1486,f403])). 117.37/116.69 tff(f1486,plain,( 117.37/116.69 ( ! [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_260), 117.37/116.69 inference(avatar_component_clause,[],[f1485])). 117.37/116.69 tff(f2662,plain,( 117.37/116.69 spl30_244 | spl30_246 | ~spl30_503 | spl30_506 | spl30_245), 117.37/116.69 inference(avatar_split_clause,[],[f2644,f1364,f2660,f2649,f2646,f2657])). 117.37/116.69 tff(f2657,plain,( 117.37/116.69 spl30_244 <=> $less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_244])])). 117.37/116.69 tff(f2646,plain,( 117.37/116.69 spl30_246 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_246])])). 117.37/116.69 tff(f2649,plain,( 117.37/116.69 spl30_503 <=> ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_503])])). 117.37/116.69 tff(f2660,plain,( 117.37/116.69 spl30_506 <=> ! [X7 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~included1(sK13,X7))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_506])])). 117.37/116.69 tff(f2644,plain,( 117.37/116.69 ( ! [X7:map_int_int] : (~$less(tb2t1(get(int,int,t2tb(X7),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~is_index1($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,X7)) ) | ~spl30_245), 117.37/116.69 inference(superposition,[],[f1365,f391])). 117.37/116.69 tff(f2654,plain,( 117.37/116.69 spl30_246 | ~spl30_503 | spl30_504 | spl30_245), 117.37/116.69 inference(avatar_split_clause,[],[f2638,f1364,f2652,f2649,f2646])). 117.37/116.69 tff(f2652,plain,( 117.37/116.69 spl30_504 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_504])])). 117.37/116.69 tff(f2638,plain,( 117.37/116.69 ( ! [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_245), 117.37/116.69 inference(resolution,[],[f1365,f391])). 117.37/116.69 tff(f2606,plain,( 117.37/116.69 ~spl30_501 | ~spl30_262), 117.37/116.69 inference(avatar_split_clause,[],[f2589,f1489,f2604])). 117.37/116.69 tff(f2604,plain,( 117.37/116.69 spl30_501 <=> ~$less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),0)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_501])])). 117.37/116.69 tff(f1489,plain,( 117.37/116.69 spl30_262 <=> is_index1(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_262])])). 117.37/116.69 tff(f2589,plain,( 117.37/116.69 ~$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_262), 117.37/116.69 inference(resolution,[],[f1490,f358])). 117.37/116.69 tff(f1490,plain,( 117.37/116.69 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_262), 117.37/116.69 inference(avatar_component_clause,[],[f1489])). 117.37/116.69 tff(f2602,plain,( 117.37/116.69 spl30_498 | ~spl30_262), 117.37/116.69 inference(avatar_split_clause,[],[f2588,f1489,f2600])). 117.37/116.69 tff(f2600,plain,( 117.37/116.69 spl30_498 <=> $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)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_498])])). 117.37/116.69 tff(f2588,plain,( 117.37/116.69 $less(sK22(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13),81) | ~spl30_262), 117.37/116.69 inference(resolution,[],[f1490,f357])). 117.37/116.69 tff(f2581,plain,( 117.37/116.69 spl30_494 | spl30_496 | spl30_29), 117.37/116.69 inference(avatar_split_clause,[],[f2574,f620,f2579,f2576])). 117.37/116.69 tff(f2576,plain,( 117.37/116.69 spl30_494 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK14))) | ~grid_eq_sub1(X10,X11,0,81))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_494])])). 117.37/116.69 tff(f2574,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_29), 117.37/116.69 inference(evaluation,[],[f2573])). 117.37/116.69 tff(f2573,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_29), 117.37/116.69 inference(resolution,[],[f1565,f425])). 117.37/116.69 tff(f1565,plain,( 117.37/116.69 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK14,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK14))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK14)))) ) | ~spl30_29), 117.37/116.69 inference(resolution,[],[f621,f429])). 117.37/116.69 tff(f2569,plain,( 117.37/116.69 spl30_490 | spl30_492 | spl30_47), 117.37/116.69 inference(avatar_split_clause,[],[f2562,f711,f2567,f2564])). 117.37/116.69 tff(f2564,plain,( 117.37/116.69 spl30_490 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK2))) | ~grid_eq_sub1(X10,X11,0,81))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_490])])). 117.37/116.69 tff(f2562,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_47), 117.37/116.69 inference(evaluation,[],[f2561])). 117.37/116.69 tff(f2561,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_47), 117.37/116.69 inference(resolution,[],[f1040,f425])). 117.37/116.69 tff(f1040,plain,( 117.37/116.69 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK2,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK2))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK2)))) ) | ~spl30_47), 117.37/116.69 inference(resolution,[],[f712,f429])). 117.37/116.69 tff(f2557,plain,( 117.37/116.69 spl30_486 | spl30_488 | spl30_45), 117.37/116.69 inference(avatar_split_clause,[],[f2550,f707,f2555,f2552])). 117.37/116.69 tff(f2552,plain,( 117.37/116.69 spl30_486 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK6))) | ~grid_eq_sub1(X10,X11,0,81))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_486])])). 117.37/116.69 tff(f2550,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_45), 117.37/116.69 inference(evaluation,[],[f2549])). 117.37/116.69 tff(f2549,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_45), 117.37/116.69 inference(resolution,[],[f991,f425])). 117.37/116.69 tff(f991,plain,( 117.37/116.69 ( ! [X47:$int,X45:map_int_int,X46:map_int_int] : (~grid_eq_sub1(X45,X46,0,X47) | ~$less(sK6,X47) | tb2t1(get(int,int,t2tb(X45),t2tb1(sK6))) = tb2t1(get(int,int,t2tb(X46),t2tb1(sK6)))) ) | ~spl30_45), 117.37/116.69 inference(resolution,[],[f708,f429])). 117.37/116.69 tff(f2541,plain,( 117.37/116.69 spl30_482 | spl30_484 | spl30_39), 117.37/116.69 inference(avatar_split_clause,[],[f2534,f687,f2539,f2536])). 117.37/116.69 tff(f2536,plain,( 117.37/116.69 spl30_482 <=> ! [X11 : map_int_int,X10 : map_int_int] : (tb2t1(get(int,int,t2tb(X10),t2tb1(sK10))) = tb2t1(get(int,int,t2tb(X11),t2tb1(sK10))) | ~grid_eq_sub1(X10,X11,0,81))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_482])])). 117.37/116.69 tff(f2534,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_39), 117.37/116.69 inference(evaluation,[],[f2533])). 117.37/116.69 tff(f2533,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_39), 117.37/116.69 inference(resolution,[],[f886,f425])). 117.37/116.69 tff(f886,plain,( 117.37/116.69 ( ! [X47:$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_39), 117.37/116.69 inference(resolution,[],[f688,f429])). 117.37/116.69 tff(f2529,plain,( 117.37/116.69 spl30_478 | spl30_480 | spl30_37), 117.37/116.69 inference(avatar_split_clause,[],[f2522,f683,f2527,f2524])). 117.37/116.69 tff(f2524,plain,( 117.37/116.69 spl30_478 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_478])])). 117.37/116.69 tff(f2527,plain,( 117.37/116.69 spl30_480 <=> ! [X9 : $int] : (~$less(sK8,X9) | $less(81,X9) | $less(X9,0))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_480])])). 117.37/116.69 tff(f2522,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_37), 117.37/116.69 inference(evaluation,[],[f2521])). 117.37/116.69 tff(f2521,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_37), 117.37/116.69 inference(resolution,[],[f837,f425])). 117.37/116.69 tff(f837,plain,( 117.37/116.69 ( ! [X47:$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_37), 117.37/116.69 inference(resolution,[],[f684,f429])). 117.37/116.69 tff(f2517,plain,( 117.37/116.69 spl30_474 | spl30_476 | spl30_35), 117.37/116.69 inference(avatar_split_clause,[],[f2510,f679,f2515,f2512])). 117.37/116.69 tff(f2512,plain,( 117.37/116.69 spl30_474 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_474])])). 117.37/116.69 tff(f2515,plain,( 117.37/116.69 spl30_476 <=> ! [X9 : $int] : (~$less(sK4,X9) | $less(81,X9) | $less(X9,0))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_476])])). 117.37/116.69 tff(f2510,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_35), 117.37/116.69 inference(evaluation,[],[f2509])). 117.37/116.69 tff(f2509,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_35), 117.37/116.69 inference(resolution,[],[f788,f425])). 117.37/116.69 tff(f788,plain,( 117.37/116.69 ( ! [X47:$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_35), 117.37/116.69 inference(resolution,[],[f680,f429])). 117.37/116.69 tff(f2505,plain,( 117.37/116.69 spl30_470 | spl30_472 | spl30_33), 117.37/116.69 inference(avatar_split_clause,[],[f2498,f675,f2503,f2500])). 117.37/116.69 tff(f2500,plain,( 117.37/116.69 spl30_470 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_470])])). 117.37/116.69 tff(f2503,plain,( 117.37/116.69 spl30_472 <=> ! [X9 : $int] : (~$less(sK0,X9) | $less(81,X9) | $less(X9,0))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_472])])). 117.37/116.69 tff(f2498,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,X9)) ) | ~spl30_33), 117.37/116.69 inference(evaluation,[],[f2497])). 117.37/116.69 tff(f2497,plain,( 117.37/116.69 ( ! [X10:map_int_int,X11:map_int_int,X9:$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) | $less(81,0)) ) | ~spl30_33), 117.37/116.69 inference(resolution,[],[f739,f425])). 117.37/116.69 tff(f739,plain,( 117.37/116.69 ( ! [X47:$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_33), 117.37/116.69 inference(resolution,[],[f676,f429])). 117.37/116.69 tff(f2490,plain,( 117.37/116.69 spl30_242 | spl30_468 | ~spl30_240), 117.37/116.69 inference(avatar_split_clause,[],[f2457,f1354,f2488,f2459])). 117.37/116.69 tff(f2459,plain,( 117.37/116.69 spl30_242 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_242])])). 117.37/116.69 tff(f2488,plain,( 117.37/116.69 spl30_468 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_468])])). 117.37/116.69 tff(f2457,plain,( 117.37/116.69 ( ! [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_240), 117.37/116.69 inference(resolution,[],[f1355,f419])). 117.37/116.69 tff(f2486,plain,( 117.37/116.69 spl30_242 | spl30_466 | ~spl30_240), 117.37/116.69 inference(avatar_split_clause,[],[f2456,f1354,f2484,f2459])). 117.37/116.69 tff(f2484,plain,( 117.37/116.69 spl30_466 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_466])])). 117.37/116.69 tff(f2456,plain,( 117.37/116.69 ( ! [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_240), 117.37/116.69 inference(resolution,[],[f1355,f418])). 117.37/116.69 tff(f2482,plain,( 117.37/116.69 spl30_242 | spl30_464 | ~spl30_240), 117.37/116.69 inference(avatar_split_clause,[],[f2455,f1354,f2480,f2459])). 117.37/116.69 tff(f2480,plain,( 117.37/116.69 spl30_464 <=> ! [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))), 117.37/116.69 introduced(avatar_definition,[new_symbols(naming,[spl30_464])])). 117.37/116.69 tff(f2455,plain,( 117.37/116.69 ( ! [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_240), 117.37/116.69 inference(resolution,[],[f1355,f417])). 117.37/116.69 tff(f2478,plain,( 117.37/116.69 spl30_242 | spl30_462 | ~spl30_240), 117.37/116.69 inference(avatar_split_clause,[],[f2453,f1354,f2475,f2459])). 117.37/116.70 tff(f2475,plain,( 117.37/116.70 spl30_462 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_462])])). 117.37/116.70 tff(f2453,plain,( 117.37/116.70 ( ! [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_240), 117.37/116.70 inference(resolution,[],[f1355,f453])). 117.37/116.70 tff(f2477,plain,( 117.37/116.70 spl30_242 | spl30_462 | ~spl30_240), 117.37/116.70 inference(avatar_split_clause,[],[f2452,f1354,f2475,f2459])). 117.37/116.70 tff(f2452,plain,( 117.37/116.70 ( ! [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_240), 117.37/116.70 inference(resolution,[],[f1355,f453])). 117.37/116.70 tff(f2473,plain,( 117.37/116.70 spl30_242 | spl30_460 | ~spl30_240), 117.37/116.70 inference(avatar_split_clause,[],[f2451,f1354,f2471,f2459])). 117.37/116.70 tff(f2471,plain,( 117.37/116.70 spl30_460 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_460])])). 117.37/116.70 tff(f2451,plain,( 117.37/116.70 ( ! [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_240), 117.37/116.70 inference(resolution,[],[f1355,f368])). 117.37/116.70 tff(f2469,plain,( 117.37/116.70 spl30_242 | spl30_458 | ~spl30_240), 117.37/116.70 inference(avatar_split_clause,[],[f2450,f1354,f2467,f2459])). 117.37/116.70 tff(f2467,plain,( 117.37/116.70 spl30_458 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_458])])). 117.37/116.70 tff(f2450,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_240), 117.37/116.70 inference(resolution,[],[f1355,f461])). 117.37/116.70 tff(f2465,plain,( 117.37/116.70 spl30_242 | spl30_456 | ~spl30_240), 117.37/116.70 inference(avatar_split_clause,[],[f2449,f1354,f2462,f2459])). 117.37/116.70 tff(f2462,plain,( 117.37/116.70 spl30_456 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_456])])). 117.37/116.70 tff(f2449,plain,( 117.37/116.70 ( ! [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_240), 117.37/116.70 inference(resolution,[],[f1355,f440])). 117.37/116.70 tff(f2464,plain,( 117.37/116.70 spl30_242 | spl30_456 | ~spl30_240), 117.37/116.70 inference(avatar_split_clause,[],[f2448,f1354,f2462,f2459])). 117.37/116.70 tff(f2448,plain,( 117.37/116.70 ( ! [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_240), 117.37/116.70 inference(resolution,[],[f1355,f440])). 117.37/116.70 tff(f2447,plain,( 117.37/116.70 spl30_238 | spl30_454 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2414,f1346,f2445,f2416])). 117.37/116.70 tff(f2416,plain,( 117.37/116.70 spl30_238 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_238])])). 117.37/116.70 tff(f2445,plain,( 117.37/116.70 spl30_454 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_454])])). 117.37/116.70 tff(f2414,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f419])). 117.37/116.70 tff(f2443,plain,( 117.37/116.70 spl30_238 | spl30_452 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2413,f1346,f2441,f2416])). 117.37/116.70 tff(f2441,plain,( 117.37/116.70 spl30_452 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_452])])). 117.37/116.70 tff(f2413,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f418])). 117.37/116.70 tff(f2439,plain,( 117.37/116.70 spl30_238 | spl30_450 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2412,f1346,f2437,f2416])). 117.37/116.70 tff(f2437,plain,( 117.37/116.70 spl30_450 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_450])])). 117.37/116.70 tff(f2412,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f417])). 117.37/116.70 tff(f2435,plain,( 117.37/116.70 spl30_238 | spl30_448 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2410,f1346,f2432,f2416])). 117.37/116.70 tff(f2432,plain,( 117.37/116.70 spl30_448 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_448])])). 117.37/116.70 tff(f2410,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f453])). 117.37/116.70 tff(f2434,plain,( 117.37/116.70 spl30_238 | spl30_448 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2409,f1346,f2432,f2416])). 117.37/116.70 tff(f2409,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f453])). 117.37/116.70 tff(f2430,plain,( 117.37/116.70 spl30_238 | spl30_446 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2408,f1346,f2428,f2416])). 117.37/116.70 tff(f2428,plain,( 117.37/116.70 spl30_446 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_446])])). 117.37/116.70 tff(f2408,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f368])). 117.37/116.70 tff(f2426,plain,( 117.37/116.70 spl30_238 | spl30_444 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2407,f1346,f2424,f2416])). 117.37/116.70 tff(f2424,plain,( 117.37/116.70 spl30_444 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_444])])). 117.37/116.70 tff(f2407,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_236), 117.37/116.70 inference(resolution,[],[f1347,f461])). 117.37/116.70 tff(f2422,plain,( 117.37/116.70 spl30_238 | spl30_442 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2406,f1346,f2419,f2416])). 117.37/116.70 tff(f2419,plain,( 117.37/116.70 spl30_442 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_442])])). 117.37/116.70 tff(f2406,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f440])). 117.37/116.70 tff(f2421,plain,( 117.37/116.70 spl30_238 | spl30_442 | ~spl30_236), 117.37/116.70 inference(avatar_split_clause,[],[f2405,f1346,f2419,f2416])). 117.37/116.70 tff(f2405,plain,( 117.37/116.70 ( ! [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_236), 117.37/116.70 inference(resolution,[],[f1347,f440])). 117.37/116.70 tff(f2404,plain,( 117.37/116.70 spl30_222 | spl30_440 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2371,f1293,f2402,f2373])). 117.37/116.70 tff(f2373,plain,( 117.37/116.70 spl30_222 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_222])])). 117.37/116.70 tff(f2402,plain,( 117.37/116.70 spl30_440 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_440])])). 117.37/116.70 tff(f2371,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f419])). 117.37/116.70 tff(f2400,plain,( 117.37/116.70 spl30_222 | spl30_438 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2370,f1293,f2398,f2373])). 117.37/116.70 tff(f2398,plain,( 117.37/116.70 spl30_438 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_438])])). 117.37/116.70 tff(f2370,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f418])). 117.37/116.70 tff(f2396,plain,( 117.37/116.70 spl30_222 | spl30_436 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2369,f1293,f2394,f2373])). 117.37/116.70 tff(f2394,plain,( 117.37/116.70 spl30_436 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_436])])). 117.37/116.70 tff(f2369,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f417])). 117.37/116.70 tff(f2392,plain,( 117.37/116.70 spl30_222 | spl30_434 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2367,f1293,f2389,f2373])). 117.37/116.70 tff(f2389,plain,( 117.37/116.70 spl30_434 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_434])])). 117.37/116.70 tff(f2367,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f453])). 117.37/116.70 tff(f2391,plain,( 117.37/116.70 spl30_222 | spl30_434 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2366,f1293,f2389,f2373])). 117.37/116.70 tff(f2366,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f453])). 117.37/116.70 tff(f2387,plain,( 117.37/116.70 spl30_222 | spl30_432 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2365,f1293,f2385,f2373])). 117.37/116.70 tff(f2385,plain,( 117.37/116.70 spl30_432 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_432])])). 117.37/116.70 tff(f2365,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f368])). 117.37/116.70 tff(f2383,plain,( 117.37/116.70 spl30_222 | spl30_430 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2364,f1293,f2381,f2373])). 117.37/116.70 tff(f2381,plain,( 117.37/116.70 spl30_430 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_430])])). 117.37/116.70 tff(f2364,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_220), 117.37/116.70 inference(resolution,[],[f1294,f461])). 117.37/116.70 tff(f2379,plain,( 117.37/116.70 spl30_222 | spl30_428 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2363,f1293,f2376,f2373])). 117.37/116.70 tff(f2376,plain,( 117.37/116.70 spl30_428 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_428])])). 117.37/116.70 tff(f2363,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f440])). 117.37/116.70 tff(f2378,plain,( 117.37/116.70 spl30_222 | spl30_428 | ~spl30_220), 117.37/116.70 inference(avatar_split_clause,[],[f2362,f1293,f2376,f2373])). 117.37/116.70 tff(f2362,plain,( 117.37/116.70 ( ! [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_220), 117.37/116.70 inference(resolution,[],[f1294,f440])). 117.37/116.70 tff(f2361,plain,( 117.37/116.70 spl30_218 | spl30_426 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2328,f1285,f2359,f2330])). 117.37/116.70 tff(f2330,plain,( 117.37/116.70 spl30_218 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_218])])). 117.37/116.70 tff(f2359,plain,( 117.37/116.70 spl30_426 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_426])])). 117.37/116.70 tff(f2328,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f419])). 117.37/116.70 tff(f2357,plain,( 117.37/116.70 spl30_218 | spl30_424 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2327,f1285,f2355,f2330])). 117.37/116.70 tff(f2355,plain,( 117.37/116.70 spl30_424 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_424])])). 117.37/116.70 tff(f2327,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f418])). 117.37/116.70 tff(f2353,plain,( 117.37/116.70 spl30_218 | spl30_422 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2326,f1285,f2351,f2330])). 117.37/116.70 tff(f2351,plain,( 117.37/116.70 spl30_422 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_422])])). 117.37/116.70 tff(f2326,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f417])). 117.37/116.70 tff(f2349,plain,( 117.37/116.70 spl30_218 | spl30_420 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2324,f1285,f2346,f2330])). 117.37/116.70 tff(f2346,plain,( 117.37/116.70 spl30_420 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_420])])). 117.37/116.70 tff(f2324,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f453])). 117.37/116.70 tff(f2348,plain,( 117.37/116.70 spl30_218 | spl30_420 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2323,f1285,f2346,f2330])). 117.37/116.70 tff(f2323,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f453])). 117.37/116.70 tff(f2344,plain,( 117.37/116.70 spl30_218 | spl30_418 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2322,f1285,f2342,f2330])). 117.37/116.70 tff(f2342,plain,( 117.37/116.70 spl30_418 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_418])])). 117.37/116.70 tff(f2322,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f368])). 117.37/116.70 tff(f2340,plain,( 117.37/116.70 spl30_218 | spl30_416 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2321,f1285,f2338,f2330])). 117.37/116.70 tff(f2338,plain,( 117.37/116.70 spl30_416 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_416])])). 117.37/116.70 tff(f2321,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_216), 117.37/116.70 inference(resolution,[],[f1286,f461])). 117.37/116.70 tff(f2336,plain,( 117.37/116.70 spl30_218 | spl30_414 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2320,f1285,f2333,f2330])). 117.37/116.70 tff(f2333,plain,( 117.37/116.70 spl30_414 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_414])])). 117.37/116.70 tff(f2320,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f440])). 117.37/116.70 tff(f2335,plain,( 117.37/116.70 spl30_218 | spl30_414 | ~spl30_216), 117.37/116.70 inference(avatar_split_clause,[],[f2319,f1285,f2333,f2330])). 117.37/116.70 tff(f2319,plain,( 117.37/116.70 ( ! [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_216), 117.37/116.70 inference(resolution,[],[f1286,f440])). 117.37/116.70 tff(f2318,plain,( 117.37/116.70 spl30_202 | spl30_412 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2285,f1232,f2316,f2287])). 117.37/116.70 tff(f2287,plain,( 117.37/116.70 spl30_202 <=> $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_202])])). 117.37/116.70 tff(f2316,plain,( 117.37/116.70 spl30_412 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_412])])). 117.37/116.70 tff(f2285,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f419])). 117.37/116.70 tff(f2314,plain,( 117.37/116.70 spl30_202 | spl30_410 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2284,f1232,f2312,f2287])). 117.37/116.70 tff(f2312,plain,( 117.37/116.70 spl30_410 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_410])])). 117.37/116.70 tff(f2284,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f418])). 117.37/116.70 tff(f2310,plain,( 117.37/116.70 spl30_202 | spl30_408 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2283,f1232,f2308,f2287])). 117.37/116.70 tff(f2308,plain,( 117.37/116.70 spl30_408 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_408])])). 117.37/116.70 tff(f2283,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f417])). 117.37/116.70 tff(f2306,plain,( 117.37/116.70 spl30_202 | spl30_406 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2281,f1232,f2303,f2287])). 117.37/116.70 tff(f2303,plain,( 117.37/116.70 spl30_406 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_406])])). 117.37/116.70 tff(f2281,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f453])). 117.37/116.70 tff(f2305,plain,( 117.37/116.70 spl30_202 | spl30_406 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2280,f1232,f2303,f2287])). 117.37/116.70 tff(f2280,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f453])). 117.37/116.70 tff(f2301,plain,( 117.37/116.70 spl30_202 | spl30_404 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2279,f1232,f2299,f2287])). 117.37/116.70 tff(f2299,plain,( 117.37/116.70 spl30_404 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_404])])). 117.37/116.70 tff(f2279,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f368])). 117.37/116.70 tff(f2297,plain,( 117.37/116.70 spl30_202 | spl30_402 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2278,f1232,f2295,f2287])). 117.37/116.70 tff(f2295,plain,( 117.37/116.70 spl30_402 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_402])])). 117.37/116.70 tff(f2278,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_200), 117.37/116.70 inference(resolution,[],[f1233,f461])). 117.37/116.70 tff(f2293,plain,( 117.37/116.70 spl30_202 | spl30_400 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2277,f1232,f2290,f2287])). 117.37/116.70 tff(f2290,plain,( 117.37/116.70 spl30_400 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_400])])). 117.37/116.70 tff(f2277,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f440])). 117.37/116.70 tff(f2292,plain,( 117.37/116.70 spl30_202 | spl30_400 | ~spl30_200), 117.37/116.70 inference(avatar_split_clause,[],[f2276,f1232,f2290,f2287])). 117.37/116.70 tff(f2276,plain,( 117.37/116.70 ( ! [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_200), 117.37/116.70 inference(resolution,[],[f1233,f440])). 117.37/116.70 tff(f2275,plain,( 117.37/116.70 spl30_198 | spl30_398 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2242,f1224,f2273,f2244])). 117.37/116.70 tff(f2244,plain,( 117.37/116.70 spl30_198 <=> $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_198])])). 117.37/116.70 tff(f2273,plain,( 117.37/116.70 spl30_398 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_398])])). 117.37/116.70 tff(f2242,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f419])). 117.37/116.70 tff(f2271,plain,( 117.37/116.70 spl30_198 | spl30_396 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2241,f1224,f2269,f2244])). 117.37/116.70 tff(f2269,plain,( 117.37/116.70 spl30_396 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_396])])). 117.37/116.70 tff(f2241,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f418])). 117.37/116.70 tff(f2267,plain,( 117.37/116.70 spl30_198 | spl30_394 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2240,f1224,f2265,f2244])). 117.37/116.70 tff(f2265,plain,( 117.37/116.70 spl30_394 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_394])])). 117.37/116.70 tff(f2240,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f417])). 117.37/116.70 tff(f2263,plain,( 117.37/116.70 spl30_198 | spl30_392 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2238,f1224,f2260,f2244])). 117.37/116.70 tff(f2260,plain,( 117.37/116.70 spl30_392 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_392])])). 117.37/116.70 tff(f2238,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f453])). 117.37/116.70 tff(f2262,plain,( 117.37/116.70 spl30_198 | spl30_392 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2237,f1224,f2260,f2244])). 117.37/116.70 tff(f2237,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f453])). 117.37/116.70 tff(f2258,plain,( 117.37/116.70 spl30_198 | spl30_390 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2236,f1224,f2256,f2244])). 117.37/116.70 tff(f2256,plain,( 117.37/116.70 spl30_390 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_390])])). 117.37/116.70 tff(f2236,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f368])). 117.37/116.70 tff(f2254,plain,( 117.37/116.70 spl30_198 | spl30_388 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2235,f1224,f2252,f2244])). 117.37/116.70 tff(f2252,plain,( 117.37/116.70 spl30_388 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_388])])). 117.37/116.70 tff(f2235,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_196), 117.37/116.70 inference(resolution,[],[f1225,f461])). 117.37/116.70 tff(f2250,plain,( 117.37/116.70 spl30_198 | spl30_386 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2234,f1224,f2247,f2244])). 117.37/116.70 tff(f2247,plain,( 117.37/116.70 spl30_386 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_386])])). 117.37/116.70 tff(f2234,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f440])). 117.37/116.70 tff(f2249,plain,( 117.37/116.70 spl30_198 | spl30_386 | ~spl30_196), 117.37/116.70 inference(avatar_split_clause,[],[f2233,f1224,f2247,f2244])). 117.37/116.70 tff(f2233,plain,( 117.37/116.70 ( ! [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_196), 117.37/116.70 inference(resolution,[],[f1225,f440])). 117.37/116.70 tff(f2220,plain,( 117.37/116.70 spl30_270 | spl30_305), 117.37/116.70 inference(avatar_split_clause,[],[f2215,f2024,f2218])). 117.37/116.70 tff(f2218,plain,( 117.37/116.70 spl30_270 <=> full1(sK13)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_270])])). 117.37/116.70 tff(f2024,plain,( 117.37/116.70 spl30_305 <=> ~is_index1(sK15(sK13))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_305])])). 117.37/116.70 tff(f2215,plain,( 117.37/116.70 full1(sK13) | ~spl30_305), 117.37/116.70 inference(resolution,[],[f2025,f347])). 117.37/116.70 tff(f347,plain,( 117.37/116.70 ( ! [X0:map_int_int] : (full1(X0) | is_index1(sK15(X0))) )), 117.37/116.70 inference(cnf_transformation,[],[f171])). 117.37/116.70 tff(f2025,plain,( 117.37/116.70 ~is_index1(sK15(sK13)) | ~spl30_305), 117.37/116.70 inference(avatar_component_clause,[],[f2024])). 117.37/116.70 tff(f2214,plain,( 117.37/116.70 spl30_182 | spl30_384 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2181,f1187,f2212,f2183])). 117.37/116.70 tff(f2212,plain,( 117.37/116.70 spl30_384 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_384])])). 117.37/116.70 tff(f2181,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f419])). 117.37/116.70 tff(f2210,plain,( 117.37/116.70 spl30_182 | spl30_382 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2180,f1187,f2208,f2183])). 117.37/116.70 tff(f2208,plain,( 117.37/116.70 spl30_382 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_382])])). 117.37/116.70 tff(f2180,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f418])). 117.37/116.70 tff(f2206,plain,( 117.37/116.70 spl30_182 | spl30_380 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2179,f1187,f2204,f2183])). 117.37/116.70 tff(f2204,plain,( 117.37/116.70 spl30_380 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_380])])). 117.37/116.70 tff(f2179,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f417])). 117.37/116.70 tff(f2202,plain,( 117.37/116.70 spl30_182 | spl30_378 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2177,f1187,f2199,f2183])). 117.37/116.70 tff(f2199,plain,( 117.37/116.70 spl30_378 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_378])])). 117.37/116.70 tff(f2177,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f453])). 117.37/116.70 tff(f2201,plain,( 117.37/116.70 spl30_182 | spl30_378 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2176,f1187,f2199,f2183])). 117.37/116.70 tff(f2176,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f453])). 117.37/116.70 tff(f2197,plain,( 117.37/116.70 spl30_182 | spl30_376 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2175,f1187,f2195,f2183])). 117.37/116.70 tff(f2195,plain,( 117.37/116.70 spl30_376 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_376])])). 117.37/116.70 tff(f2175,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f368])). 117.37/116.70 tff(f2193,plain,( 117.37/116.70 spl30_182 | spl30_374 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2174,f1187,f2191,f2183])). 117.37/116.70 tff(f2191,plain,( 117.37/116.70 spl30_374 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_374])])). 117.37/116.70 tff(f2174,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_188), 117.37/116.70 inference(resolution,[],[f1188,f461])). 117.37/116.70 tff(f2189,plain,( 117.37/116.70 spl30_182 | spl30_372 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2173,f1187,f2186,f2183])). 117.37/116.70 tff(f2186,plain,( 117.37/116.70 spl30_372 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_372])])). 117.37/116.70 tff(f2173,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f440])). 117.37/116.70 tff(f2188,plain,( 117.37/116.70 spl30_182 | spl30_372 | ~spl30_188), 117.37/116.70 inference(avatar_split_clause,[],[f2172,f1187,f2186,f2183])). 117.37/116.70 tff(f2172,plain,( 117.37/116.70 ( ! [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_188), 117.37/116.70 inference(resolution,[],[f1188,f440])). 117.37/116.70 tff(f2171,plain,( 117.37/116.70 spl30_170 | spl30_370 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2138,f1143,f2169,f2140])). 117.37/116.70 tff(f2169,plain,( 117.37/116.70 spl30_370 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_370])])). 117.37/116.70 tff(f2138,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f419])). 117.37/116.70 tff(f2167,plain,( 117.37/116.70 spl30_170 | spl30_368 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2137,f1143,f2165,f2140])). 117.37/116.70 tff(f2165,plain,( 117.37/116.70 spl30_368 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_368])])). 117.37/116.70 tff(f2137,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f418])). 117.37/116.70 tff(f2163,plain,( 117.37/116.70 spl30_170 | spl30_366 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2136,f1143,f2161,f2140])). 117.37/116.70 tff(f2161,plain,( 117.37/116.70 spl30_366 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_366])])). 117.37/116.70 tff(f2136,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f417])). 117.37/116.70 tff(f2159,plain,( 117.37/116.70 spl30_170 | spl30_364 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2134,f1143,f2156,f2140])). 117.37/116.70 tff(f2156,plain,( 117.37/116.70 spl30_364 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_364])])). 117.37/116.70 tff(f2134,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f453])). 117.37/116.70 tff(f2158,plain,( 117.37/116.70 spl30_170 | spl30_364 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2133,f1143,f2156,f2140])). 117.37/116.70 tff(f2133,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f453])). 117.37/116.70 tff(f2154,plain,( 117.37/116.70 spl30_170 | spl30_362 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2132,f1143,f2152,f2140])). 117.37/116.70 tff(f2152,plain,( 117.37/116.70 spl30_362 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_362])])). 117.37/116.70 tff(f2132,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f368])). 117.37/116.70 tff(f2150,plain,( 117.37/116.70 spl30_170 | spl30_360 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2131,f1143,f2148,f2140])). 117.37/116.70 tff(f2148,plain,( 117.37/116.70 spl30_360 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_360])])). 117.37/116.70 tff(f2131,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_176), 117.37/116.70 inference(resolution,[],[f1144,f461])). 117.37/116.70 tff(f2146,plain,( 117.37/116.70 spl30_170 | spl30_358 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2130,f1143,f2143,f2140])). 117.37/116.70 tff(f2143,plain,( 117.37/116.70 spl30_358 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_358])])). 117.37/116.70 tff(f2130,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f440])). 117.37/116.70 tff(f2145,plain,( 117.37/116.70 spl30_170 | spl30_358 | ~spl30_176), 117.37/116.70 inference(avatar_split_clause,[],[f2129,f1143,f2143,f2140])). 117.37/116.70 tff(f2129,plain,( 117.37/116.70 ( ! [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_176), 117.37/116.70 inference(resolution,[],[f1144,f440])). 117.37/116.70 tff(f2128,plain,( 117.37/116.70 spl30_158 | spl30_356 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2095,f1099,f2126,f2097])). 117.37/116.70 tff(f2126,plain,( 117.37/116.70 spl30_356 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_356])])). 117.37/116.70 tff(f2095,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f419])). 117.37/116.70 tff(f2124,plain,( 117.37/116.70 spl30_158 | spl30_354 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2094,f1099,f2122,f2097])). 117.37/116.70 tff(f2122,plain,( 117.37/116.70 spl30_354 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_354])])). 117.37/116.70 tff(f2094,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f418])). 117.37/116.70 tff(f2120,plain,( 117.37/116.70 spl30_158 | spl30_352 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2093,f1099,f2118,f2097])). 117.37/116.70 tff(f2118,plain,( 117.37/116.70 spl30_352 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_352])])). 117.37/116.70 tff(f2093,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f417])). 117.37/116.70 tff(f2116,plain,( 117.37/116.70 spl30_158 | spl30_350 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2091,f1099,f2113,f2097])). 117.37/116.70 tff(f2113,plain,( 117.37/116.70 spl30_350 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_350])])). 117.37/116.70 tff(f2091,plain,( 117.37/116.70 ( ! [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,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),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_164), 117.37/116.70 inference(resolution,[],[f1100,f453])). 117.37/116.70 tff(f2115,plain,( 117.37/116.70 spl30_158 | spl30_350 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2090,f1099,f2113,f2097])). 117.37/116.70 tff(f2090,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f453])). 117.37/116.70 tff(f2111,plain,( 117.37/116.70 spl30_158 | spl30_348 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2089,f1099,f2109,f2097])). 117.37/116.70 tff(f2109,plain,( 117.37/116.70 spl30_348 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_348])])). 117.37/116.70 tff(f2089,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f368])). 117.37/116.70 tff(f2107,plain,( 117.37/116.70 spl30_158 | spl30_346 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2088,f1099,f2105,f2097])). 117.37/116.70 tff(f2105,plain,( 117.37/116.70 spl30_346 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X10),X11)),tb2t1(get2(int,t2tb2(X12),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~is_index1(X11))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_346])])). 117.37/116.70 tff(f2088,plain,( 117.37/116.70 ( ! [X12:array_int,X10:array_int,X11:$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_164), 117.37/116.70 inference(resolution,[],[f1100,f461])). 117.37/116.70 tff(f2103,plain,( 117.37/116.70 spl30_158 | spl30_344 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2087,f1099,f2100,f2097])). 117.37/116.70 tff(f2100,plain,( 117.37/116.70 spl30_344 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_344])])). 117.37/116.70 tff(f2087,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f440])). 117.37/116.70 tff(f2102,plain,( 117.37/116.70 spl30_158 | spl30_344 | ~spl30_164), 117.37/116.70 inference(avatar_split_clause,[],[f2086,f1099,f2100,f2097])). 117.37/116.70 tff(f2086,plain,( 117.37/116.70 ( ! [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_164), 117.37/116.70 inference(resolution,[],[f1100,f440])). 117.37/116.70 tff(f2073,plain,( 117.37/116.70 spl30_342 | ~spl30_258), 117.37/116.70 inference(avatar_split_clause,[],[f2069,f1468,f2071])). 117.37/116.70 tff(f2069,plain,( 117.37/116.70 length1(int,mk_array1(int,sK2,t2tb(sK3))) = 9 | ~spl30_258), 117.37/116.70 inference(forward_demodulation,[],[f2062,f335])). 117.37/116.70 tff(f335,plain,( 117.37/116.70 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 117.37/116.70 inference(cnf_transformation,[],[f80])). 117.37/116.70 tff(f80,plain,( 117.37/116.70 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 117.37/116.70 inference(rectify,[],[f17])). 117.37/116.70 tff(f17,axiom,( 117.37/116.70 ! [X3 : uni] : t2tb2(tb2t2(X3)) = X3), 117.37/116.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 117.37/116.70 tff(f2062,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) = 9 | ~spl30_258), 117.37/116.70 inference(resolution,[],[f1469,f380])). 117.37/116.70 tff(f380,plain,( 117.37/116.70 ( ! [X0:array_int,X1:array_int] : (length1(int,t2tb2(X1)) = 9 | ~disjoint_chunks1(X0,X1)) )), 117.37/116.70 inference(cnf_transformation,[],[f189])). 117.37/116.70 tff(f2068,plain,( 117.37/116.70 spl30_340 | ~spl30_258), 117.37/116.70 inference(avatar_split_clause,[],[f2064,f1468,f2066])). 117.37/116.70 tff(f2064,plain,( 117.37/116.70 length1(int,mk_array1(int,sK0,t2tb(sK1))) = 81 | ~spl30_258), 117.37/116.70 inference(forward_demodulation,[],[f2061,f335])). 117.37/116.70 tff(f2061,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) = 81 | ~spl30_258), 117.37/116.70 inference(resolution,[],[f1469,f379])). 117.37/116.70 tff(f379,plain,( 117.37/116.70 ( ! [X0:array_int,X1:array_int] : (length1(int,t2tb2(X0)) = 81 | ~disjoint_chunks1(X0,X1)) )), 117.37/116.70 inference(cnf_transformation,[],[f189])). 117.37/116.70 tff(f2040,plain,( 117.37/116.70 spl30_338 | ~spl30_12), 117.37/116.70 inference(avatar_split_clause,[],[f2036,f1450,f2038])). 117.37/116.70 tff(f2036,plain,( 117.37/116.70 length1(int,mk_array1(int,sK10,t2tb(sK11))) = 9 | ~spl30_12), 117.37/116.70 inference(forward_demodulation,[],[f2028,f335])). 117.37/116.70 tff(f2028,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) = 9 | ~spl30_12), 117.37/116.70 inference(resolution,[],[f1451,f367])). 117.37/116.70 tff(f367,plain,( 117.37/116.70 ( ! [X0:array_int,X1:array_int] : (length1(int,t2tb2(X1)) = 9 | ~chunk_valid_indexes1(X0,X1)) )), 117.37/116.70 inference(cnf_transformation,[],[f184])). 117.37/116.70 tff(f2035,plain,( 117.37/116.70 spl30_336 | ~spl30_12), 117.37/116.70 inference(avatar_split_clause,[],[f2031,f1450,f2033])). 117.37/116.70 tff(f2031,plain,( 117.37/116.70 length1(int,mk_array1(int,sK8,t2tb(sK9))) = 81 | ~spl30_12), 117.37/116.70 inference(forward_demodulation,[],[f2027,f335])). 117.37/116.70 tff(f2027,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) = 81 | ~spl30_12), 117.37/116.70 inference(resolution,[],[f1451,f366])). 117.37/116.70 tff(f366,plain,( 117.37/116.70 ( ! [X0:array_int,X1:array_int] : (length1(int,t2tb2(X0)) = 81 | ~chunk_valid_indexes1(X0,X1)) )), 117.37/116.70 inference(cnf_transformation,[],[f184])). 117.37/116.70 tff(f2026,plain,( 117.37/116.70 ~spl30_305 | ~spl30_322), 117.37/116.70 inference(avatar_split_clause,[],[f2016,f1915,f2024])). 117.37/116.70 tff(f1915,plain,( 117.37/116.70 spl30_322 <=> $less(sK15(sK13),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_322])])). 117.37/116.70 tff(f2016,plain,( 117.37/116.70 ~is_index1(sK15(sK13)) | ~spl30_322), 117.37/116.70 inference(resolution,[],[f1916,f358])). 117.37/116.70 tff(f1916,plain,( 117.37/116.70 $less(sK15(sK13),0) | ~spl30_322), 117.37/116.70 inference(avatar_component_clause,[],[f1915])). 117.37/116.70 tff(f2013,plain,( 117.37/116.70 spl30_334 | ~spl30_6), 117.37/116.70 inference(avatar_split_clause,[],[f2009,f1444,f2011])). 117.37/116.70 tff(f2009,plain,( 117.37/116.70 length1(int,mk_array1(int,sK6,t2tb(sK7))) = 9 | ~spl30_6), 117.37/116.70 inference(forward_demodulation,[],[f2001,f335])). 117.37/116.70 tff(f2001,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) = 9 | ~spl30_6), 117.37/116.70 inference(resolution,[],[f1445,f367])). 117.37/116.70 tff(f2008,plain,( 117.37/116.70 spl30_332 | ~spl30_6), 117.37/116.70 inference(avatar_split_clause,[],[f2004,f1444,f2006])). 117.37/116.70 tff(f2004,plain,( 117.37/116.70 length1(int,mk_array1(int,sK4,t2tb(sK5))) = 81 | ~spl30_6), 117.37/116.70 inference(forward_demodulation,[],[f2000,f335])). 117.37/116.70 tff(f2000,plain,( 117.37/116.70 length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) = 81 | ~spl30_6), 117.37/116.70 inference(resolution,[],[f1445,f366])). 117.37/116.70 tff(f1934,plain,( 117.37/116.70 spl30_322 | spl30_330 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1913,f1868,f1932,f1915])). 117.37/116.70 tff(f1932,plain,( 117.37/116.70 spl30_330 <=> ! [X18 : map_int_int,X17 : sudoku_chunks1] : (valid_column1(X17,X18,sK15(sK13)) | ~valid_up_to1(X17,X18,81))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_330])])). 117.37/116.70 tff(f1868,plain,( 117.37/116.70 spl30_320 <=> $less(sK15(sK13),81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_320])])). 117.37/116.70 tff(f1913,plain,( 117.37/116.70 ( ! [X17:sudoku_chunks1,X18:map_int_int] : (valid_column1(X17,X18,sK15(sK13)) | $less(sK15(sK13),0) | ~valid_up_to1(X17,X18,81)) ) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f419])). 117.37/116.70 tff(f1869,plain,( 117.37/116.70 $less(sK15(sK13),81) | ~spl30_320), 117.37/116.70 inference(avatar_component_clause,[],[f1868])). 117.37/116.70 tff(f1930,plain,( 117.37/116.70 spl30_322 | spl30_328 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1912,f1868,f1928,f1915])). 117.37/116.70 tff(f1928,plain,( 117.37/116.70 spl30_328 <=> ! [X16 : map_int_int,X15 : sudoku_chunks1] : (valid_row1(X15,X16,sK15(sK13)) | ~valid_up_to1(X15,X16,81))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_328])])). 117.37/116.70 tff(f1912,plain,( 117.37/116.70 ( ! [X15:sudoku_chunks1,X16:map_int_int] : (valid_row1(X15,X16,sK15(sK13)) | $less(sK15(sK13),0) | ~valid_up_to1(X15,X16,81)) ) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f418])). 117.37/116.70 tff(f1926,plain,( 117.37/116.70 spl30_322 | spl30_326 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1911,f1868,f1924,f1915])). 117.37/116.70 tff(f1924,plain,( 117.37/116.70 spl30_326 <=> ! [X13 : sudoku_chunks1,X14 : map_int_int] : (valid_square1(X13,X14,sK15(sK13)) | ~valid_up_to1(X13,X14,81))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_326])])). 117.37/116.70 tff(f1911,plain,( 117.37/116.70 ( ! [X14:map_int_int,X13:sudoku_chunks1] : (valid_square1(X13,X14,sK15(sK13)) | $less(sK15(sK13),0) | ~valid_up_to1(X13,X14,81)) ) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f417])). 117.37/116.70 tff(f1922,plain,( 117.37/116.70 spl30_322 | spl30_324 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1909,f1868,f1919,f1915])). 117.37/116.70 tff(f1919,plain,( 117.37/116.70 spl30_324 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK15(sK13))))))) | ~valid_chunk_up_to1(X0,X2,X1,X3,81) | sK15(sK13) = X4 | ~$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),sK15(sK13)))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK15(sK13))))))),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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_324])])). 117.37/116.70 tff(f1909,plain,( 117.37/116.70 ( ! [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),sK15(sK13))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK15(sK13))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X5),t2tb1($sum(tb2t1(get2(int,t2tb2(X6),X7)),tb2t1(get2(int,t2tb2(X8),sK15(sK13)))))))) | $less(tb2t1(get(int,int,t2tb(X5),t2tb1($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(sK15(sK13),0) | $less(X9,0) | sK15(sK13) = X9 | ~$less(X9,81) | ~valid_chunk_up_to1(X5,X7,X6,X8,81)) ) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f453])). 117.37/116.70 tff(f1921,plain,( 117.37/116.70 spl30_322 | spl30_324 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1908,f1868,f1919,f1915])). 117.37/116.70 tff(f1908,plain,( 117.37/116.70 ( ! [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),sK15(sK13))))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($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),sK15(sK13))))))),1) | $less(9,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(tb2t1(get2(int,t2tb2(X1),X2)),tb2t1(get2(int,t2tb2(X3),sK15(sK13)))))))) | $less(X4,0) | ~$less(X4,81) | $less(sK15(sK13),0) | sK15(sK13) = X4 | ~valid_chunk_up_to1(X0,X2,X1,X3,81)) ) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f453])). 117.37/116.70 tff(f1917,plain,( 117.37/116.70 spl30_322 | spl30_304 | ~spl30_320), 117.37/116.70 inference(avatar_split_clause,[],[f1907,f1868,f1602,f1915])). 117.37/116.70 tff(f1602,plain,( 117.37/116.70 spl30_304 <=> is_index1(sK15(sK13))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_304])])). 117.37/116.70 tff(f1907,plain,( 117.37/116.70 is_index1(sK15(sK13)) | $less(sK15(sK13),0) | ~spl30_320), 117.37/116.70 inference(resolution,[],[f1869,f356])). 117.37/116.70 tff(f1874,plain,( 117.37/116.70 ~spl30_323 | ~spl30_304), 117.37/116.70 inference(avatar_split_clause,[],[f1857,f1602,f1872])). 117.37/116.70 tff(f1872,plain,( 117.37/116.70 spl30_323 <=> ~$less(sK15(sK13),0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_323])])). 117.37/116.70 tff(f1857,plain,( 117.37/116.70 ~$less(sK15(sK13),0) | ~spl30_304), 117.37/116.70 inference(resolution,[],[f1603,f358])). 117.37/116.70 tff(f1603,plain,( 117.37/116.70 is_index1(sK15(sK13)) | ~spl30_304), 117.37/116.70 inference(avatar_component_clause,[],[f1602])). 117.37/116.70 tff(f1870,plain,( 117.37/116.70 spl30_320 | ~spl30_304), 117.37/116.70 inference(avatar_split_clause,[],[f1856,f1602,f1868])). 117.37/116.70 tff(f1856,plain,( 117.37/116.70 $less(sK15(sK13),81) | ~spl30_304), 117.37/116.70 inference(resolution,[],[f1603,f357])). 117.37/116.70 tff(f1747,plain,( 117.37/116.70 ~spl30_143 | spl30_141), 117.37/116.70 inference(avatar_split_clause,[],[f1741,f1043,f1745])). 117.37/116.70 tff(f1745,plain,( 117.37/116.70 spl30_143 <=> ~is_index1(sK2)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 117.37/116.70 tff(f1043,plain,( 117.37/116.70 spl30_141 <=> ~$less(sK2,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 117.37/116.70 tff(f1741,plain,( 117.37/116.70 ~is_index1(sK2) | ~spl30_141), 117.37/116.70 inference(resolution,[],[f1044,f357])). 117.37/116.70 tff(f1044,plain,( 117.37/116.70 ~$less(sK2,81) | ~spl30_141), 117.37/116.70 inference(avatar_component_clause,[],[f1043])). 117.37/116.70 tff(f1726,plain,( 117.37/116.70 ~spl30_125 | spl30_123), 117.37/116.70 inference(avatar_split_clause,[],[f1720,f994,f1724])). 117.37/116.70 tff(f1724,plain,( 117.37/116.70 spl30_125 <=> ~is_index1(sK6)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 117.37/116.70 tff(f994,plain,( 117.37/116.70 spl30_123 <=> ~$less(sK6,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 117.37/116.70 tff(f1720,plain,( 117.37/116.70 ~is_index1(sK6) | ~spl30_123), 117.37/116.70 inference(resolution,[],[f995,f357])). 117.37/116.70 tff(f995,plain,( 117.37/116.70 ~$less(sK6,81) | ~spl30_123), 117.37/116.70 inference(avatar_component_clause,[],[f994])). 117.37/116.70 tff(f1706,plain,( 117.37/116.70 ~spl30_107 | spl30_105), 117.37/116.70 inference(avatar_split_clause,[],[f1700,f889,f1704])). 117.37/116.70 tff(f1704,plain,( 117.37/116.70 spl30_107 <=> ~is_index1(sK10)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 117.37/116.70 tff(f889,plain,( 117.37/116.70 spl30_105 <=> ~$less(sK10,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 117.37/116.70 tff(f1700,plain,( 117.37/116.70 ~is_index1(sK10) | ~spl30_105), 117.37/116.70 inference(resolution,[],[f890,f357])). 117.37/116.70 tff(f890,plain,( 117.37/116.70 ~$less(sK10,81) | ~spl30_105), 117.37/116.70 inference(avatar_component_clause,[],[f889])). 117.37/116.70 tff(f1686,plain,( 117.37/116.70 ~spl30_89 | spl30_87), 117.37/116.70 inference(avatar_split_clause,[],[f1680,f840,f1684])). 117.37/116.70 tff(f1684,plain,( 117.37/116.70 spl30_89 <=> ~is_index1(sK8)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 117.37/116.70 tff(f840,plain,( 117.37/116.70 spl30_87 <=> ~$less(sK8,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 117.37/116.70 tff(f1680,plain,( 117.37/116.70 ~is_index1(sK8) | ~spl30_87), 117.37/116.70 inference(resolution,[],[f841,f357])). 117.37/116.70 tff(f841,plain,( 117.37/116.70 ~$less(sK8,81) | ~spl30_87), 117.37/116.70 inference(avatar_component_clause,[],[f840])). 117.37/116.70 tff(f1665,plain,( 117.37/116.70 ~spl30_71 | spl30_69), 117.37/116.70 inference(avatar_split_clause,[],[f1659,f791,f1663])). 117.37/116.70 tff(f791,plain,( 117.37/116.70 spl30_69 <=> ~$less(sK4,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 117.37/116.70 tff(f1659,plain,( 117.37/116.70 ~is_index1(sK4) | ~spl30_69), 117.37/116.70 inference(resolution,[],[f792,f357])). 117.37/116.70 tff(f792,plain,( 117.37/116.70 ~$less(sK4,81) | ~spl30_69), 117.37/116.70 inference(avatar_component_clause,[],[f791])). 117.37/116.70 tff(f1645,plain,( 117.37/116.70 ~spl30_53 | spl30_51), 117.37/116.70 inference(avatar_split_clause,[],[f1639,f742,f1643])). 117.37/116.70 tff(f1643,plain,( 117.37/116.70 spl30_53 <=> ~is_index1(sK0)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 117.37/116.70 tff(f742,plain,( 117.37/116.70 spl30_51 <=> ~$less(sK0,81)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 117.37/116.70 tff(f1639,plain,( 117.37/116.70 ~is_index1(sK0) | ~spl30_51), 117.37/116.70 inference(resolution,[],[f743,f357])). 117.37/116.70 tff(f743,plain,( 117.37/116.70 ~$less(sK0,81) | ~spl30_51), 117.37/116.70 inference(avatar_component_clause,[],[f742])). 117.37/116.70 tff(f1635,plain,( 117.37/116.70 ~spl30_315 | ~spl30_317 | ~spl30_319 | spl30_9), 117.37/116.70 inference(avatar_split_clause,[],[f1617,f587,f1633,f1630,f1627])). 117.37/116.70 tff(f587,plain,( 117.37/116.70 spl30_9 <=> ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 117.37/116.70 tff(f1617,plain,( 117.37/116.70 ~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,$sum(sK14,1))) | ~spl30_9), 117.37/116.70 inference(resolution,[],[f588,f416])). 117.37/116.70 tff(f416,plain,( 117.37/116.70 ( ! [X2:$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))) )), 117.37/116.70 inference(cnf_transformation,[],[f206])). 117.37/116.70 tff(f588,plain,( 117.37/116.70 ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)) | ~spl30_9), 117.37/116.70 inference(avatar_component_clause,[],[f587])). 117.37/116.70 tff(f1625,plain,( 117.37/116.70 ~spl30_313 | spl30_9), 117.37/116.70 inference(avatar_split_clause,[],[f1616,f587,f1623])). 117.37/116.70 tff(f1616,plain,( 117.37/116.70 ~$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_9), 117.37/116.70 inference(resolution,[],[f588,f415])). 117.37/116.70 tff(f1621,plain,( 117.37/116.70 spl30_310 | spl30_9), 117.37/116.70 inference(avatar_split_clause,[],[f1615,f587,f1619])). 117.37/116.70 tff(f1615,plain,( 117.37/116.70 $less(sK24(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(sK14,1)),$sum(sK14,1)) | ~spl30_9), 117.37/116.70 inference(resolution,[],[f588,f414])). 117.37/116.70 tff(f414,plain,( 117.37/116.70 ( ! [X2:$int,X0:sudoku_chunks1,X1:map_int_int] : (valid_up_to1(X0,X1,X2) | $less(sK24(X0,X1,X2),X2)) )), 117.37/116.70 inference(cnf_transformation,[],[f206])). 117.37/116.70 tff(f1611,plain,( 117.37/116.70 spl30_306 | spl30_308 | spl30_271), 117.37/116.70 inference(avatar_split_clause,[],[f1600,f1508,f1609,f1606])). 117.37/116.70 tff(f1609,plain,( 117.37/116.70 spl30_308 <=> $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_308])])). 117.37/116.70 tff(f1508,plain,( 117.37/116.70 spl30_271 <=> ~full1(sK13)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_271])])). 117.37/116.70 tff(f1600,plain,( 117.37/116.70 $less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13))))) | $less(tb2t1(get(int,int,t2tb(sK13),t2tb1(sK15(sK13)))),1) | ~spl30_271), 117.37/116.70 inference(resolution,[],[f1509,f348])). 117.37/116.70 tff(f348,plain,( 117.37/116.70 ( ! [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)) )), 117.37/116.70 inference(cnf_transformation,[],[f171])). 117.37/116.70 tff(f1509,plain,( 117.37/116.70 ~full1(sK13) | ~spl30_271), 117.37/116.70 inference(avatar_component_clause,[],[f1508])). 117.37/116.70 tff(f1604,plain,( 117.37/116.70 spl30_304 | spl30_271), 117.37/116.70 inference(avatar_split_clause,[],[f1599,f1508,f1602])). 117.37/116.70 tff(f1599,plain,( 117.37/116.70 is_index1(sK15(sK13)) | ~spl30_271), 117.37/116.70 inference(resolution,[],[f1509,f347])). 117.37/116.70 tff(f1593,plain,( 117.37/116.70 ~spl30_291 | spl30_302 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1564,f620,f1591,f1568])). 117.37/116.70 tff(f1591,plain,( 117.37/116.70 spl30_302 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK14)))) | ~is_index1(X43))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_302])])). 117.37/116.70 tff(f1564,plain,( 117.37/116.70 ( ! [X43:$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_29), 117.37/116.70 inference(resolution,[],[f621,f461])). 117.37/116.70 tff(f1589,plain,( 117.37/116.70 ~spl30_291 | spl30_300 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1561,f620,f1586,f1568])). 117.37/116.70 tff(f1586,plain,( 117.37/116.70 spl30_300 <=> ! [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),sK14)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK14 = X24 | ~$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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_300])])). 117.37/116.70 tff(f1561,plain,( 117.37/116.70 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK14)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK14,9) | sK14 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_29), 117.37/116.70 inference(resolution,[],[f621,f440])). 117.37/116.70 tff(f1588,plain,( 117.37/116.70 ~spl30_291 | spl30_300 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1560,f620,f1586,f1568])). 117.37/116.70 tff(f1560,plain,( 117.37/116.70 ( ! [X24:$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),sK14)))))) != 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),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_29), 117.37/116.70 inference(resolution,[],[f621,f440])). 117.37/116.70 tff(f1584,plain,( 117.37/116.70 spl30_294 | spl30_298 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1559,f620,f1582,f1575])). 117.37/116.70 tff(f1582,plain,( 117.37/116.70 spl30_298 <=> ! [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) | $less(X19,0))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_298])])). 117.37/116.70 tff(f1559,plain,( 117.37/116.70 ( ! [X19:$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_29), 117.37/116.70 inference(resolution,[],[f621,f425])). 117.37/116.70 tff(f1580,plain,( 117.37/116.70 spl30_294 | spl30_296 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1558,f620,f1578,f1575])). 117.37/116.70 tff(f1578,plain,( 117.37/116.70 spl30_296 <=> ! [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) | $less(X16,0))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_296])])). 117.37/116.70 tff(f1558,plain,( 117.37/116.70 ( ! [X14:map_int_int,X15:map_int_int,X16:$int] : (grid_eq_sub1(X14,X15,X16,sK14) | $less(X16,0) | ~grid_eq_sub1(X14,X15,0,81) | $less(81,sK14) | $less(81,X16)) ) | ~spl30_29), 117.37/116.70 inference(resolution,[],[f621,f425])). 117.37/116.70 tff(f1573,plain,( 117.37/116.70 ~spl30_291 | spl30_292 | spl30_29), 117.37/116.70 inference(avatar_split_clause,[],[f1553,f620,f1571,f1568])). 117.37/116.70 tff(f1553,plain,( 117.37/116.70 ( ! [X2:array_int,X0:array_int,X1:$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_29), 117.37/116.70 inference(resolution,[],[f621,f368])). 117.37/116.70 tff(f1550,plain,( 117.37/116.70 ~spl30_19 | ~spl30_3 | spl30_288 | ~spl30_4), 117.37/116.70 inference(avatar_split_clause,[],[f1423,f668,f1548,f578,f602])). 117.37/116.70 tff(f668,plain,( 117.37/116.70 spl30_4 <=> valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 117.37/116.70 tff(f1423,plain,( 117.37/116.70 ( ! [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_4), 117.37/116.70 inference(resolution,[],[f669,f365])). 117.37/116.70 tff(f669,plain,( 117.37/116.70 valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_4), 117.37/116.70 inference(avatar_component_clause,[],[f668])). 117.37/116.70 tff(f1546,plain,( 117.37/116.70 ~spl30_19 | ~spl30_7 | spl30_286 | ~spl30_16), 117.37/116.70 inference(avatar_split_clause,[],[f1404,f654,f1544,f584,f602])). 117.37/116.70 tff(f1404,plain,( 117.37/116.70 ( ! [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_16), 117.37/116.70 inference(resolution,[],[f655,f365])). 117.37/116.70 tff(f1542,plain,( 117.37/116.70 ~spl30_19 | ~spl30_13 | spl30_284 | ~spl30_10), 117.37/116.70 inference(avatar_split_clause,[],[f1392,f645,f1540,f593,f602])). 117.37/116.70 tff(f1392,plain,( 117.37/116.70 ( ! [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_10), 117.37/116.70 inference(resolution,[],[f646,f365])). 117.37/116.70 tff(f1538,plain,( 117.37/116.70 ~spl30_279 | ~spl30_281 | ~spl30_283 | spl30_1), 117.37/116.70 inference(avatar_split_clause,[],[f1520,f575,f1536,f1533,f1530])). 117.37/116.70 tff(f575,plain,( 117.37/116.70 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)), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 117.37/116.70 tff(f1520,plain,( 117.37/116.70 ~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), 117.37/116.70 inference(resolution,[],[f576,f416])). 117.37/116.70 tff(f576,plain,( 117.37/116.70 ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(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), 117.37/116.70 inference(avatar_component_clause,[],[f575])). 117.37/116.70 tff(f1528,plain,( 117.37/116.70 ~spl30_277 | spl30_1), 117.37/116.70 inference(avatar_split_clause,[],[f1519,f575,f1526])). 117.37/116.70 tff(f1519,plain,( 117.37/116.70 ~$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), 117.37/116.70 inference(resolution,[],[f576,f415])). 117.37/116.70 tff(f1524,plain,( 117.37/116.70 spl30_276 | spl30_1), 117.37/116.70 inference(avatar_split_clause,[],[f1518,f575,f1522])). 117.37/116.70 tff(f1518,plain,( 117.37/116.70 $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), 117.37/116.70 inference(resolution,[],[f576,f414])). 117.37/116.70 tff(f1517,plain,( 117.37/116.70 ~spl30_43 | spl30_274 | ~spl30_22), 117.37/116.70 inference(avatar_split_clause,[],[f1503,f636,f1515,f1482])). 117.37/116.70 tff(f1515,plain,( 117.37/116.70 spl30_274 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_274])])). 117.37/116.70 tff(f1503,plain,( 117.37/116.70 ( ! [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_22), 117.37/116.70 inference(resolution,[],[f637,f403])). 117.37/116.70 tff(f1513,plain,( 117.37/116.70 ~spl30_271 | spl30_272 | ~spl30_22), 117.37/116.70 inference(avatar_split_clause,[],[f1502,f636,f1511,f1508])). 117.37/116.70 tff(f1511,plain,( 117.37/116.70 spl30_272 <=> ! [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))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_272])])). 117.37/116.70 tff(f1502,plain,( 117.37/116.70 ( ! [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_22), 117.37/116.70 inference(resolution,[],[f637,f410])). 117.37/116.70 tff(f410,plain,( 117.37/116.70 ( ! [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)) )), 117.37/116.70 inference(cnf_transformation,[],[f202])). 117.37/116.70 tff(f202,plain,( 117.37/116.70 ! [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)))), 117.37/116.70 inference(flattening,[],[f201])). 117.37/116.70 tff(f201,plain,( 117.37/116.70 ! [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))))), 117.37/116.70 inference(nnf_transformation,[],[f111])). 117.37/116.70 tff(f111,plain,( 117.37/116.70 ! [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))), 117.37/116.70 inference(rectify,[],[f37])). 117.37/116.70 tff(f37,axiom,( 117.37/116.70 ! [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))), 117.37/116.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_solution_for_def)). 117.37/116.70 tff(f1501,plain,( 117.37/116.70 ~spl30_265 | ~spl30_267 | ~spl30_269 | spl30_23), 117.37/116.70 inference(avatar_split_clause,[],[f1480,f608,f1499,f1496,f1493])). 117.37/116.70 tff(f1480,plain,( 117.37/116.70 ~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_23), 117.37/116.70 inference(resolution,[],[f609,f383])). 117.37/116.70 tff(f609,plain,( 117.37/116.70 ~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_23), 117.37/116.70 inference(avatar_component_clause,[],[f608])). 117.37/116.70 tff(f1491,plain,( 117.37/116.70 spl30_262 | spl30_23), 117.37/116.70 inference(avatar_split_clause,[],[f1479,f608,f1489])). 117.37/116.70 tff(f1479,plain,( 117.37/116.70 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_23), 117.37/116.70 inference(resolution,[],[f609,f382])). 117.37/116.70 tff(f382,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1,X1:map_int_int] : (valid1(X0,X1) | is_index1(sK22(X0,X1))) )), 117.37/116.70 inference(cnf_transformation,[],[f193])). 117.37/116.70 tff(f1487,plain,( 117.37/116.70 ~spl30_43 | spl30_260 | spl30_23), 117.37/116.70 inference(avatar_split_clause,[],[f1478,f608,f1485,f1482])). 117.37/116.70 tff(f1478,plain,( 117.37/116.70 ( ! [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_23), 117.37/116.70 inference(resolution,[],[f609,f403])). 117.37/116.70 tff(f1476,plain,( 117.37/116.70 spl30_2 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1472,f703,f1474])). 117.37/116.70 tff(f1472,plain,( 117.37/116.70 chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1471,f455])). 117.37/116.70 tff(f1471,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1439,f457])). 117.37/116.70 tff(f1439,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f354])). 117.37/116.70 tff(f354,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f173,plain,( 117.37/116.70 ! [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)))), 117.37/116.70 inference(flattening,[],[f172])). 117.37/116.70 tff(f172,plain,( 117.37/116.70 ! [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)))), 117.37/116.70 inference(nnf_transformation,[],[f4])). 117.37/116.70 tff(f4,axiom,( 117.37/116.70 ! [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))))), 117.37/116.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_formed_sudoku_def)). 117.37/116.70 tff(f1470,plain,( 117.37/116.70 spl30_258 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1466,f703,f1468])). 117.37/116.70 tff(f1466,plain,( 117.37/116.70 disjoint_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1465,f455])). 117.37/116.70 tff(f1465,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1438,f457])). 117.37/116.70 tff(f1438,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f353])). 117.37/116.70 tff(f353,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(column_start1(X0),column_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f1464,plain,( 117.37/116.70 spl30_256 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1460,f703,f1462])). 117.37/116.70 tff(f1460,plain,( 117.37/116.70 disjoint_chunks1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1459,f456])). 117.37/116.70 tff(f1459,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1437,f454])). 117.37/116.70 tff(f1437,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f352])). 117.37/116.70 tff(f352,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f1458,plain,( 117.37/116.70 spl30_254 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1454,f703,f1456])). 117.37/116.70 tff(f1454,plain,( 117.37/116.70 disjoint_chunks1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1453,f458])). 117.37/116.70 tff(f1453,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1436,f459])). 117.37/116.70 tff(f1436,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f351])). 117.37/116.70 tff(f351,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (disjoint_chunks1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f1452,plain,( 117.37/116.70 spl30_12 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1448,f703,f1450])). 117.37/116.70 tff(f1448,plain,( 117.37/116.70 chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1447,f458])). 117.37/116.70 tff(f1447,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1435,f459])). 117.37/116.70 tff(f1435,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f350])). 117.37/116.70 tff(f350,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(square_start1(X0),square_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f1446,plain,( 117.37/116.70 spl30_6 | ~spl30_42), 117.37/116.70 inference(avatar_split_clause,[],[f1442,f703,f1444])). 117.37/116.70 tff(f1442,plain,( 117.37/116.70 chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_42), 117.37/116.70 inference(forward_demodulation,[],[f1441,f456])). 117.37/116.70 tff(f1441,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(forward_demodulation,[],[f1434,f454])). 117.37/116.70 tff(f1434,plain,( 117.37/116.70 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_42), 117.37/116.70 inference(resolution,[],[f704,f349])). 117.37/116.70 tff(f349,plain,( 117.37/116.70 ( ! [X0:sudoku_chunks1] : (chunk_valid_indexes1(row_start1(X0),row_offsets1(X0)) | ~well_formed_sudoku1(X0)) )), 117.37/116.70 inference(cnf_transformation,[],[f173])). 117.37/116.70 tff(f1390,plain,( 117.37/116.70 spl30_252 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1386,f599,f1388])). 117.37/116.70 tff(f1386,plain,( 117.37/116.70 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1385,f335])). 117.37/116.70 tff(f1385,plain,( 117.37/116.70 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1340,f335])). 117.37/116.70 tff(f1340,plain,( 117.37/116.70 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))) | ~spl30_17), 117.37/116.70 inference(resolution,[],[f600,f439])). 117.37/116.70 tff(f439,plain,( 117.37/116.70 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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)))))))) )), 117.37/116.70 inference(cnf_transformation,[],[f214])). 117.37/116.70 tff(f1384,plain,( 117.37/116.70 ~spl30_251 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1380,f599,f1382])). 117.37/116.70 tff(f1380,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(forward_demodulation,[],[f1379,f335])). 117.37/116.70 tff(f1379,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(forward_demodulation,[],[f1339,f335])). 117.37/116.70 tff(f1339,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(resolution,[],[f600,f438])). 117.37/116.70 tff(f438,plain,( 117.37/116.70 ( ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK26(X0,X1,X2,X3))))))),1)) )), 117.37/116.70 inference(cnf_transformation,[],[f214])). 117.37/116.70 tff(f1378,plain,( 117.37/116.70 ~spl30_249 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1374,f599,f1376])). 117.37/116.70 tff(f1374,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1373,f335])). 117.37/116.70 tff(f1373,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1338,f335])). 117.37/116.70 tff(f1338,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))))))))) | ~spl30_17), 117.37/116.70 inference(resolution,[],[f600,f437])). 117.37/116.70 tff(f437,plain,( 117.37/116.70 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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))))))))) )), 117.37/116.70 inference(cnf_transformation,[],[f214])). 117.37/116.70 tff(f1372,plain,( 117.37/116.70 ~spl30_247 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1368,f599,f1370])). 117.37/116.70 tff(f1370,plain,( 117.37/116.70 spl30_247 <=> ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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)))))))))))), 117.37/116.70 introduced(avatar_definition,[new_symbols(naming,[spl30_247])])). 117.37/116.70 tff(f1368,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(forward_demodulation,[],[f1367,f335])). 117.37/116.70 tff(f1367,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(forward_demodulation,[],[f1337,f335])). 117.37/116.70 tff(f1337,plain,( 117.37/116.70 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($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_17), 117.37/116.70 inference(resolution,[],[f600,f436])). 117.37/116.70 tff(f436,plain,( 117.37/116.70 ( ! [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($sum(tb2t1(get2(int,t2tb2(X2),X1)),tb2t1(get2(int,t2tb2(X3),sK27(X0,X1,X2,X3))))))))) )), 117.37/116.70 inference(cnf_transformation,[],[f214])). 117.37/116.70 tff(f1366,plain,( 117.37/116.70 ~spl30_245 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1362,f599,f1364])). 117.37/116.70 tff(f1362,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1361,f335])). 117.37/116.70 tff(f1361,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~spl30_17), 117.37/116.70 inference(forward_demodulation,[],[f1336,f335])). 117.37/116.70 tff(f1336,plain,( 117.37/116.70 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))))),1) | ~spl30_17), 117.37/116.70 inference(resolution,[],[f600,f435])). 117.37/116.70 tff(f435,plain,( 117.37/116.70 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$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)) )), 117.37/116.70 inference(cnf_transformation,[],[f214])). 117.37/116.70 tff(f1360,plain,( 117.37/116.70 ~spl30_243 | spl30_17), 117.37/116.70 inference(avatar_split_clause,[],[f1335,f599,f1358])). 117.37/116.71 tff(f1335,plain,( 117.37/116.71 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_17), 117.37/116.71 inference(resolution,[],[f600,f434])). 117.37/116.71 tff(f434,plain,( 117.37/116.71 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | ~$less(sK26(X0,X1,X2,X3),0)) )), 117.37/116.71 inference(cnf_transformation,[],[f214])). 117.37/116.71 tff(f1356,plain,( 117.37/116.71 spl30_240 | spl30_17), 117.37/116.71 inference(avatar_split_clause,[],[f1334,f599,f1354])). 117.37/116.71 tff(f1334,plain,( 117.37/116.71 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_17), 117.37/116.71 inference(resolution,[],[f600,f433])). 117.37/116.71 tff(f433,plain,( 117.37/116.71 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK26(X0,X1,X2,X3),9)) )), 117.37/116.71 inference(cnf_transformation,[],[f214])). 117.37/116.71 tff(f1352,plain,( 117.37/116.71 ~spl30_239 | spl30_17), 117.37/116.71 inference(avatar_split_clause,[],[f1333,f599,f1350])). 117.37/116.71 tff(f1333,plain,( 117.37/116.71 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_17), 117.37/116.71 inference(resolution,[],[f600,f432])). 117.37/116.71 tff(f432,plain,( 117.37/116.71 ( ! [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)) )), 117.37/116.71 inference(cnf_transformation,[],[f214])). 117.37/116.71 tff(f1348,plain,( 117.37/116.71 spl30_236 | spl30_17), 117.37/116.71 inference(avatar_split_clause,[],[f1332,f599,f1346])). 117.37/116.71 tff(f1332,plain,( 117.37/116.71 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_17), 117.37/116.71 inference(resolution,[],[f600,f431])). 117.37/116.71 tff(f431,plain,( 117.37/116.71 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | $less(sK27(X0,X1,X2,X3),9)) )), 117.37/116.71 inference(cnf_transformation,[],[f214])). 117.37/116.71 tff(f1344,plain,( 117.37/116.71 ~spl30_235 | spl30_17), 117.37/116.71 inference(avatar_split_clause,[],[f1331,f599,f1342])). 117.37/116.71 tff(f1331,plain,( 117.37/116.71 sK26(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_17), 117.37/116.71 inference(resolution,[],[f600,f430])). 117.37/116.71 tff(f430,plain,( 117.37/116.71 ( ! [X2:array_int,X0:map_int_int,X3:array_int,X1:$int] : (valid_chunk1(X0,X1,X2,X3) | sK26(X0,X1,X2,X3) != sK27(X0,X1,X2,X3)) )), 117.37/116.71 inference(cnf_transformation,[],[f214])). 117.37/116.71 tff(f1329,plain,( 117.37/116.71 spl30_232 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1325,f590,f1327])). 117.37/116.71 tff(f1325,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1324,f335])). 117.37/116.71 tff(f1324,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1279,f335])). 117.37/116.71 tff(f1279,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f439])). 117.37/116.71 tff(f1323,plain,( 117.37/116.71 ~spl30_231 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1319,f590,f1321])). 117.37/116.71 tff(f1319,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1318,f335])). 117.37/116.71 tff(f1318,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1278,f335])). 117.37/116.71 tff(f1278,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f438])). 117.37/116.71 tff(f1317,plain,( 117.37/116.71 ~spl30_229 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1313,f590,f1315])). 117.37/116.71 tff(f1313,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1312,f335])). 117.37/116.71 tff(f1312,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1277,f335])). 117.37/116.71 tff(f1277,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f437])). 117.37/116.71 tff(f1311,plain,( 117.37/116.71 ~spl30_227 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1307,f590,f1309])). 117.37/116.71 tff(f1307,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1306,f335])). 117.37/116.71 tff(f1306,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1276,f335])). 117.37/116.71 tff(f1276,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))))))))) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f436])). 117.37/116.71 tff(f1305,plain,( 117.37/116.71 ~spl30_225 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1301,f590,f1303])). 117.37/116.71 tff(f1303,plain,( 117.37/116.71 spl30_225 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($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)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_225])])). 117.37/116.71 tff(f1301,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1300,f335])). 117.37/116.71 tff(f1300,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(forward_demodulation,[],[f1275,f335])). 117.37/116.71 tff(f1275,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))))),1) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f435])). 117.37/116.71 tff(f1299,plain,( 117.37/116.71 ~spl30_223 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1274,f590,f1297])). 117.37/116.71 tff(f1274,plain,( 117.37/116.71 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f434])). 117.37/116.71 tff(f1295,plain,( 117.37/116.71 spl30_220 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1273,f590,f1293])). 117.37/116.71 tff(f1273,plain,( 117.37/116.71 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f433])). 117.37/116.71 tff(f1291,plain,( 117.37/116.71 ~spl30_219 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1272,f590,f1289])). 117.37/116.71 tff(f1272,plain,( 117.37/116.71 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f432])). 117.37/116.71 tff(f1287,plain,( 117.37/116.71 spl30_216 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1271,f590,f1285])). 117.37/116.71 tff(f1271,plain,( 117.37/116.71 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f431])). 117.37/116.71 tff(f1283,plain,( 117.37/116.71 ~spl30_215 | spl30_11), 117.37/116.71 inference(avatar_split_clause,[],[f1270,f590,f1281])). 117.37/116.71 tff(f1270,plain,( 117.37/116.71 sK26(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_11), 117.37/116.71 inference(resolution,[],[f591,f430])). 117.37/116.71 tff(f1268,plain,( 117.37/116.71 spl30_212 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1264,f581,f1266])). 117.37/116.71 tff(f1264,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1263,f335])). 117.37/116.71 tff(f1263,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1218,f335])). 117.37/116.71 tff(f1218,plain,( 117.37/116.71 tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) = tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f439])). 117.37/116.71 tff(f1262,plain,( 117.37/116.71 ~spl30_211 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1258,f581,f1260])). 117.37/116.71 tff(f1258,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1257,f335])). 117.37/116.71 tff(f1257,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1217,f335])). 117.37/116.71 tff(f1217,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f438])). 117.37/116.71 tff(f1256,plain,( 117.37/116.71 ~spl30_209 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1252,f581,f1254])). 117.37/116.71 tff(f1252,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1251,f335])). 117.37/116.71 tff(f1251,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1216,f335])). 117.37/116.71 tff(f1216,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f437])). 117.37/116.71 tff(f1250,plain,( 117.37/116.71 ~spl30_207 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1246,f581,f1248])). 117.37/116.71 tff(f1246,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1245,f335])). 117.37/116.71 tff(f1245,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1215,f335])). 117.37/116.71 tff(f1215,plain,( 117.37/116.71 ~$less(9,tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))))))))) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f436])). 117.37/116.71 tff(f1244,plain,( 117.37/116.71 ~spl30_205 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1240,f581,f1242])). 117.37/116.71 tff(f1242,plain,( 117.37/116.71 spl30_205 <=> ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_205])])). 117.37/116.71 tff(f1240,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1239,f335])). 117.37/116.71 tff(f1239,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(forward_demodulation,[],[f1214,f335])). 117.37/116.71 tff(f1214,plain,( 117.37/116.71 ~$less(tb2t1(get(int,int,t2tb(sK13),t2tb1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK14)),tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3)))),sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))))),1) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f435])). 117.37/116.71 tff(f1238,plain,( 117.37/116.71 ~spl30_203 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1213,f581,f1236])). 117.37/116.71 tff(f1213,plain,( 117.37/116.71 ~$less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f434])). 117.37/116.71 tff(f1234,plain,( 117.37/116.71 spl30_200 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1212,f581,f1232])). 117.37/116.71 tff(f1212,plain,( 117.37/116.71 $less(sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f433])). 117.37/116.71 tff(f1230,plain,( 117.37/116.71 ~spl30_199 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1211,f581,f1228])). 117.37/116.71 tff(f1211,plain,( 117.37/116.71 ~$less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f432])). 117.37/116.71 tff(f1226,plain,( 117.37/116.71 spl30_196 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1210,f581,f1224])). 117.37/116.71 tff(f1210,plain,( 117.37/116.71 $less(sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f431])). 117.37/116.71 tff(f1222,plain,( 117.37/116.71 ~spl30_195 | spl30_5), 117.37/116.71 inference(avatar_split_clause,[],[f1209,f581,f1220])). 117.37/116.71 tff(f1209,plain,( 117.37/116.71 sK26(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) != sK27(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_5), 117.37/116.71 inference(resolution,[],[f582,f430])). 117.37/116.71 tff(f1207,plain,( 117.37/116.71 ~spl30_193 | ~spl30_185 | ~spl30_187 | spl30_13), 117.37/116.71 inference(avatar_split_clause,[],[f1203,f593,f1179,f1176,f1205])). 117.37/116.71 tff(f1176,plain,( 117.37/116.71 spl30_185 <=> 9 != sK10), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_185])])). 117.37/116.71 tff(f1179,plain,( 117.37/116.71 spl30_187 <=> 81 != sK8), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_187])])). 117.37/116.71 tff(f1203,plain,( 117.37/116.71 81 != sK8 | 9 != sK10 | ~is_index1($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_13), 117.37/116.71 inference(forward_demodulation,[],[f1202,f395])). 117.37/116.71 tff(f1202,plain,( 117.37/116.71 length1(int,mk_array1(int,sK8,t2tb(sK9))) != 81 | 9 != sK10 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1201,f335])). 117.37/116.71 tff(f1201,plain,( 117.37/116.71 9 != sK10 | ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1200,f395])). 117.37/116.71 tff(f1200,plain,( 117.37/116.71 length1(int,mk_array1(int,sK10,t2tb(sK11))) != 9 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK8,t2tb(sK9)),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1199,f335])). 117.37/116.71 tff(f1199,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1198,f335])). 117.37/116.71 tff(f1198,plain,( 117.37/116.71 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9)))),sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))),tb2t1(get2(int,mk_array1(int,sK10,t2tb(sK11)),sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1167,f335])). 117.37/116.71 tff(f1167,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(resolution,[],[f594,f372])). 117.37/116.71 tff(f372,plain,( 117.37/116.71 ( ! [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))))) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) )), 117.37/116.71 inference(cnf_transformation,[],[f184])). 117.37/116.71 tff(f594,plain,( 117.37/116.71 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~spl30_13), 117.37/116.71 inference(avatar_component_clause,[],[f593])). 117.37/116.71 tff(f1197,plain,( 117.37/116.71 spl30_190 | ~spl30_185 | ~spl30_187 | spl30_13), 117.37/116.71 inference(avatar_split_clause,[],[f1193,f593,f1179,f1176,f1195])). 117.37/116.71 tff(f1195,plain,( 117.37/116.71 spl30_190 <=> is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_190])])). 117.37/116.71 tff(f1193,plain,( 117.37/116.71 81 != sK8 | 9 != sK10 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1192,f395])). 117.37/116.71 tff(f1192,plain,( 117.37/116.71 length1(int,mk_array1(int,sK8,t2tb(sK9))) != 81 | 9 != sK10 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1191,f335])). 117.37/116.71 tff(f1191,plain,( 117.37/116.71 9 != sK10 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1190,f395])). 117.37/116.71 tff(f1190,plain,( 117.37/116.71 length1(int,mk_array1(int,sK10,t2tb(sK11))) != 9 | is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1166,f335])). 117.37/116.71 tff(f1166,plain,( 117.37/116.71 is_index1(sK17(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(resolution,[],[f594,f371])). 117.37/116.71 tff(f371,plain,( 117.37/116.71 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | is_index1(sK17(X0,X1)) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) )), 117.37/116.71 inference(cnf_transformation,[],[f184])). 117.37/116.71 tff(f1189,plain,( 117.37/116.71 spl30_188 | ~spl30_185 | ~spl30_187 | spl30_13), 117.37/116.71 inference(avatar_split_clause,[],[f1185,f593,f1179,f1176,f1187])). 117.37/116.71 tff(f1185,plain,( 117.37/116.71 81 != sK8 | 9 != sK10 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1184,f395])). 117.37/116.71 tff(f1184,plain,( 117.37/116.71 length1(int,mk_array1(int,sK8,t2tb(sK9))) != 81 | 9 != sK10 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1183,f335])). 117.37/116.71 tff(f1183,plain,( 117.37/116.71 9 != sK10 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1182,f395])). 117.37/116.71 tff(f1182,plain,( 117.37/116.71 length1(int,mk_array1(int,sK10,t2tb(sK11))) != 9 | $less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1165,f335])). 117.37/116.71 tff(f1165,plain,( 117.37/116.71 $less(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))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(resolution,[],[f594,f370])). 117.37/116.71 tff(f370,plain,( 117.37/116.71 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | $less(sK18(X0,X1),9) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) )), 117.37/116.71 inference(cnf_transformation,[],[f184])). 117.37/116.71 tff(f1181,plain,( 117.37/116.71 ~spl30_183 | ~spl30_185 | ~spl30_187 | spl30_13), 117.37/116.71 inference(avatar_split_clause,[],[f1171,f593,f1179,f1176,f1173])). 117.37/116.71 tff(f1171,plain,( 117.37/116.71 81 != sK8 | 9 != sK10 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1170,f395])). 117.37/116.71 tff(f1170,plain,( 117.37/116.71 length1(int,mk_array1(int,sK8,t2tb(sK9))) != 81 | 9 != sK10 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1169,f335])). 117.37/116.71 tff(f1169,plain,( 117.37/116.71 9 != sK10 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1168,f395])). 117.37/116.71 tff(f1168,plain,( 117.37/116.71 length1(int,mk_array1(int,sK10,t2tb(sK11))) != 9 | ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(forward_demodulation,[],[f1164,f335])). 117.37/116.71 tff(f1164,plain,( 117.37/116.71 ~$less(sK18(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK10,t2tb(sK11))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK8,t2tb(sK9))))) != 81 | ~spl30_13), 117.37/116.71 inference(resolution,[],[f594,f369])). 117.37/116.71 tff(f369,plain,( 117.37/116.71 ( ! [X0:array_int,X1:array_int] : (chunk_valid_indexes1(X0,X1) | ~$less(sK18(X0,X1),0) | length1(int,t2tb2(X1)) != 9 | length1(int,t2tb2(X0)) != 81) )), 117.37/116.71 inference(cnf_transformation,[],[f184])). 117.37/116.71 tff(f1163,plain,( 117.37/116.71 ~spl30_181 | ~spl30_173 | ~spl30_175 | spl30_7), 117.37/116.71 inference(avatar_split_clause,[],[f1159,f584,f1135,f1132,f1161])). 117.37/116.71 tff(f1132,plain,( 117.37/116.71 spl30_173 <=> 9 != sK6), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_173])])). 117.37/116.71 tff(f1135,plain,( 117.37/116.71 spl30_175 <=> 81 != sK4), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_175])])). 117.37/116.71 tff(f1159,plain,( 117.37/116.71 81 != sK4 | 9 != sK6 | ~is_index1($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_7), 117.37/116.71 inference(forward_demodulation,[],[f1158,f395])). 117.37/116.71 tff(f1158,plain,( 117.37/116.71 length1(int,mk_array1(int,sK4,t2tb(sK5))) != 81 | 9 != sK6 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1157,f335])). 117.37/116.71 tff(f1157,plain,( 117.37/116.71 9 != sK6 | ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1156,f395])). 117.37/116.71 tff(f1156,plain,( 117.37/116.71 length1(int,mk_array1(int,sK6,t2tb(sK7))) != 9 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK4,t2tb(sK5)),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1155,f335])). 117.37/116.71 tff(f1155,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1154,f335])). 117.37/116.71 tff(f1154,plain,( 117.37/116.71 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5)))),sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))),tb2t1(get2(int,mk_array1(int,sK6,t2tb(sK7)),sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1123,f335])). 117.37/116.71 tff(f1123,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(resolution,[],[f585,f372])). 117.37/116.71 tff(f585,plain,( 117.37/116.71 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~spl30_7), 117.37/116.71 inference(avatar_component_clause,[],[f584])). 117.37/116.71 tff(f1153,plain,( 117.37/116.71 spl30_178 | ~spl30_173 | ~spl30_175 | spl30_7), 117.37/116.71 inference(avatar_split_clause,[],[f1149,f584,f1135,f1132,f1151])). 117.37/116.71 tff(f1151,plain,( 117.37/116.71 spl30_178 <=> is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_178])])). 117.37/116.71 tff(f1149,plain,( 117.37/116.71 81 != sK4 | 9 != sK6 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1148,f395])). 117.37/116.71 tff(f1148,plain,( 117.37/116.71 length1(int,mk_array1(int,sK4,t2tb(sK5))) != 81 | 9 != sK6 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1147,f335])). 117.37/116.71 tff(f1147,plain,( 117.37/116.71 9 != sK6 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1146,f395])). 117.37/116.71 tff(f1146,plain,( 117.37/116.71 length1(int,mk_array1(int,sK6,t2tb(sK7))) != 9 | is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1122,f335])). 117.37/116.71 tff(f1122,plain,( 117.37/116.71 is_index1(sK17(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(resolution,[],[f585,f371])). 117.37/116.71 tff(f1145,plain,( 117.37/116.71 spl30_176 | ~spl30_173 | ~spl30_175 | spl30_7), 117.37/116.71 inference(avatar_split_clause,[],[f1141,f584,f1135,f1132,f1143])). 117.37/116.71 tff(f1141,plain,( 117.37/116.71 81 != sK4 | 9 != sK6 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1140,f395])). 117.37/116.71 tff(f1140,plain,( 117.37/116.71 length1(int,mk_array1(int,sK4,t2tb(sK5))) != 81 | 9 != sK6 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1139,f335])). 117.37/116.71 tff(f1139,plain,( 117.37/116.71 9 != sK6 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1138,f395])). 117.37/116.71 tff(f1138,plain,( 117.37/116.71 length1(int,mk_array1(int,sK6,t2tb(sK7))) != 9 | $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1121,f335])). 117.37/116.71 tff(f1121,plain,( 117.37/116.71 $less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(resolution,[],[f585,f370])). 117.37/116.71 tff(f1137,plain,( 117.37/116.71 ~spl30_171 | ~spl30_173 | ~spl30_175 | spl30_7), 117.37/116.71 inference(avatar_split_clause,[],[f1127,f584,f1135,f1132,f1129])). 117.37/116.71 tff(f1129,plain,( 117.37/116.71 spl30_171 <=> ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_171])])). 117.37/116.71 tff(f1127,plain,( 117.37/116.71 81 != sK4 | 9 != sK6 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1126,f395])). 117.37/116.71 tff(f1126,plain,( 117.37/116.71 length1(int,mk_array1(int,sK4,t2tb(sK5))) != 81 | 9 != sK6 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1125,f335])). 117.37/116.71 tff(f1125,plain,( 117.37/116.71 9 != sK6 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1124,f395])). 117.37/116.71 tff(f1124,plain,( 117.37/116.71 length1(int,mk_array1(int,sK6,t2tb(sK7))) != 9 | ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(forward_demodulation,[],[f1120,f335])). 117.37/116.71 tff(f1120,plain,( 117.37/116.71 ~$less(sK18(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK6,t2tb(sK7))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK4,t2tb(sK5))))) != 81 | ~spl30_7), 117.37/116.71 inference(resolution,[],[f585,f369])). 117.37/116.71 tff(f1119,plain,( 117.37/116.71 ~spl30_169 | ~spl30_161 | ~spl30_163 | spl30_3), 117.37/116.71 inference(avatar_split_clause,[],[f1115,f578,f1091,f1088,f1117])). 117.37/116.71 tff(f1088,plain,( 117.37/116.71 spl30_161 <=> 9 != sK2), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_161])])). 117.37/116.71 tff(f1091,plain,( 117.37/116.71 spl30_163 <=> 81 != sK0), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_163])])). 117.37/116.71 tff(f1115,plain,( 117.37/116.71 81 != sK0 | 9 != sK2 | ~is_index1($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_3), 117.37/116.71 inference(forward_demodulation,[],[f1114,f395])). 117.37/116.71 tff(f1114,plain,( 117.37/116.71 length1(int,mk_array1(int,sK0,t2tb(sK1))) != 81 | 9 != sK2 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1113,f335])). 117.37/116.71 tff(f1113,plain,( 117.37/116.71 9 != sK2 | ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1112,f395])). 117.37/116.71 tff(f1112,plain,( 117.37/116.71 length1(int,mk_array1(int,sK2,t2tb(sK3))) != 9 | ~is_index1($sum(tb2t1(get2(int,mk_array1(int,sK0,t2tb(sK1)),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1111,f335])). 117.37/116.71 tff(f1111,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1110,f335])). 117.37/116.71 tff(f1110,plain,( 117.37/116.71 ~is_index1($sum(tb2t1(get2(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1)))),sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))),tb2t1(get2(int,mk_array1(int,sK2,t2tb(sK3)),sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1079,f335])). 117.37/116.71 tff(f1079,plain,( 117.37/116.71 ~is_index1($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)))))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(resolution,[],[f579,f372])). 117.37/116.71 tff(f579,plain,( 117.37/116.71 ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~spl30_3), 117.37/116.71 inference(avatar_component_clause,[],[f578])). 117.37/116.71 tff(f1109,plain,( 117.37/116.71 spl30_166 | ~spl30_161 | ~spl30_163 | spl30_3), 117.37/116.71 inference(avatar_split_clause,[],[f1105,f578,f1091,f1088,f1107])). 117.37/116.71 tff(f1107,plain,( 117.37/116.71 spl30_166 <=> is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_166])])). 117.37/116.71 tff(f1105,plain,( 117.37/116.71 81 != sK0 | 9 != sK2 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1104,f395])). 117.37/116.71 tff(f1104,plain,( 117.37/116.71 length1(int,mk_array1(int,sK0,t2tb(sK1))) != 81 | 9 != sK2 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1103,f335])). 117.37/116.71 tff(f1103,plain,( 117.37/116.71 9 != sK2 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1102,f395])). 117.37/116.71 tff(f1102,plain,( 117.37/116.71 length1(int,mk_array1(int,sK2,t2tb(sK3))) != 9 | is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1078,f335])). 117.37/116.71 tff(f1078,plain,( 117.37/116.71 is_index1(sK17(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))))) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(resolution,[],[f579,f371])). 117.37/116.71 tff(f1101,plain,( 117.37/116.71 spl30_164 | ~spl30_161 | ~spl30_163 | spl30_3), 117.37/116.71 inference(avatar_split_clause,[],[f1097,f578,f1091,f1088,f1099])). 117.37/116.71 tff(f1097,plain,( 117.37/116.71 81 != sK0 | 9 != sK2 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1096,f395])). 117.37/116.71 tff(f1096,plain,( 117.37/116.71 length1(int,mk_array1(int,sK0,t2tb(sK1))) != 81 | 9 != sK2 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1095,f335])). 117.37/116.71 tff(f1095,plain,( 117.37/116.71 9 != sK2 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1094,f395])). 117.37/116.71 tff(f1094,plain,( 117.37/116.71 length1(int,mk_array1(int,sK2,t2tb(sK3))) != 9 | $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1077,f335])). 117.37/116.71 tff(f1077,plain,( 117.37/116.71 $less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),9) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(resolution,[],[f579,f370])). 117.37/116.71 tff(f1093,plain,( 117.37/116.71 ~spl30_159 | ~spl30_161 | ~spl30_163 | spl30_3), 117.37/116.71 inference(avatar_split_clause,[],[f1083,f578,f1091,f1088,f1085])). 117.37/116.71 tff(f1085,plain,( 117.37/116.71 spl30_159 <=> ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_159])])). 117.37/116.71 tff(f1083,plain,( 117.37/116.71 81 != sK0 | 9 != sK2 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1082,f395])). 117.37/116.71 tff(f1082,plain,( 117.37/116.71 length1(int,mk_array1(int,sK0,t2tb(sK1))) != 81 | 9 != sK2 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1081,f335])). 117.37/116.71 tff(f1081,plain,( 117.37/116.71 9 != sK2 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1080,f395])). 117.37/116.71 tff(f1080,plain,( 117.37/116.71 length1(int,mk_array1(int,sK2,t2tb(sK3))) != 9 | ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(forward_demodulation,[],[f1076,f335])). 117.37/116.71 tff(f1076,plain,( 117.37/116.71 ~$less(sK18(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))),0) | length1(int,t2tb2(tb2t2(mk_array1(int,sK2,t2tb(sK3))))) != 9 | length1(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb(sK1))))) != 81 | ~spl30_3), 117.37/116.71 inference(resolution,[],[f579,f369])). 117.37/116.71 tff(f1075,plain,( 117.37/116.71 ~spl30_145 | spl30_156 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1039,f711,f1073,f1050])). 117.37/116.71 tff(f1050,plain,( 117.37/116.71 spl30_145 <=> ~$less(sK2,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 117.37/116.71 tff(f1073,plain,( 117.37/116.71 spl30_156 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK2)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_156])])). 117.37/116.71 tff(f1039,plain,( 117.37/116.71 ( ! [X43:$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_47), 117.37/116.71 inference(resolution,[],[f712,f461])). 117.37/116.71 tff(f1071,plain,( 117.37/116.71 ~spl30_145 | spl30_154 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1036,f711,f1068,f1050])). 117.37/116.71 tff(f1068,plain,( 117.37/116.71 spl30_154 <=> ! [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),sK2)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK2 = X24 | ~$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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_154])])). 117.37/116.71 tff(f1036,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK2)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK2,9) | sK2 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_47), 117.37/116.71 inference(resolution,[],[f712,f440])). 117.37/116.71 tff(f1070,plain,( 117.37/116.71 ~spl30_145 | spl30_154 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1035,f711,f1068,f1050])). 117.37/116.71 tff(f1035,plain,( 117.37/116.71 ( ! [X24:$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),sK2)))))) != 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),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_47), 117.37/116.71 inference(resolution,[],[f712,f440])). 117.37/116.71 tff(f1066,plain,( 117.37/116.71 spl30_148 | spl30_152 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1034,f711,f1064,f1057])). 117.37/116.71 tff(f1057,plain,( 117.37/116.71 spl30_148 <=> $less(81,sK2)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_148])])). 117.37/116.71 tff(f1064,plain,( 117.37/116.71 spl30_152 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_152])])). 117.37/116.71 tff(f1034,plain,( 117.37/116.71 ( ! [X19:$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_47), 117.37/116.71 inference(resolution,[],[f712,f425])). 117.37/116.71 tff(f1062,plain,( 117.37/116.71 spl30_148 | spl30_150 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1033,f711,f1060,f1057])). 117.37/116.71 tff(f1060,plain,( 117.37/116.71 spl30_150 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_150])])). 117.37/116.71 tff(f1033,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_47), 117.37/116.71 inference(resolution,[],[f712,f425])). 117.37/116.71 tff(f1055,plain,( 117.37/116.71 ~spl30_145 | spl30_146 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1028,f711,f1053,f1050])). 117.37/116.71 tff(f1053,plain,( 117.37/116.71 spl30_146 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 117.37/116.71 tff(f1028,plain,( 117.37/116.71 ( ! [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) | ~$less(sK2,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_47), 117.37/116.71 inference(resolution,[],[f712,f368])). 117.37/116.71 tff(f1048,plain,( 117.37/116.71 ~spl30_141 | spl30_142 | spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f1027,f711,f1046,f1043])). 117.37/116.71 tff(f1046,plain,( 117.37/116.71 spl30_142 <=> is_index1(sK2)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 117.37/116.71 tff(f1027,plain,( 117.37/116.71 is_index1(sK2) | ~$less(sK2,81) | ~spl30_47), 117.37/116.71 inference(resolution,[],[f712,f356])). 117.37/116.71 tff(f1026,plain,( 117.37/116.71 ~spl30_127 | spl30_138 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f990,f707,f1024,f1001])). 117.37/116.71 tff(f1001,plain,( 117.37/116.71 spl30_127 <=> ~$less(sK6,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 117.37/116.71 tff(f1024,plain,( 117.37/116.71 spl30_138 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK6)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 117.37/116.71 tff(f990,plain,( 117.37/116.71 ( ! [X43:$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_45), 117.37/116.71 inference(resolution,[],[f708,f461])). 117.37/116.71 tff(f1022,plain,( 117.37/116.71 ~spl30_127 | spl30_136 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f987,f707,f1019,f1001])). 117.37/116.71 tff(f1019,plain,( 117.37/116.71 spl30_136 <=> ! [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),sK6)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK6 = X24 | ~$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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 117.37/116.71 tff(f987,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK6)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK6,9) | sK6 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_45), 117.37/116.71 inference(resolution,[],[f708,f440])). 117.37/116.71 tff(f1021,plain,( 117.37/116.71 ~spl30_127 | spl30_136 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f986,f707,f1019,f1001])). 117.37/116.71 tff(f986,plain,( 117.37/116.71 ( ! [X24:$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),sK6)))))) != 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),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_45), 117.37/116.71 inference(resolution,[],[f708,f440])). 117.37/116.71 tff(f1017,plain,( 117.37/116.71 spl30_130 | spl30_134 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f985,f707,f1015,f1008])). 117.37/116.71 tff(f1008,plain,( 117.37/116.71 spl30_130 <=> $less(81,sK6)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 117.37/116.71 tff(f1015,plain,( 117.37/116.71 spl30_134 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 117.37/116.71 tff(f985,plain,( 117.37/116.71 ( ! [X19:$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_45), 117.37/116.71 inference(resolution,[],[f708,f425])). 117.37/116.71 tff(f1013,plain,( 117.37/116.71 spl30_130 | spl30_132 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f984,f707,f1011,f1008])). 117.37/116.71 tff(f1011,plain,( 117.37/116.71 spl30_132 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 117.37/116.71 tff(f984,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_45), 117.37/116.71 inference(resolution,[],[f708,f425])). 117.37/116.71 tff(f1006,plain,( 117.37/116.71 ~spl30_127 | spl30_128 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f979,f707,f1004,f1001])). 117.37/116.71 tff(f1004,plain,( 117.37/116.71 spl30_128 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 117.37/116.71 tff(f979,plain,( 117.37/116.71 ( ! [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) | ~$less(sK6,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_45), 117.37/116.71 inference(resolution,[],[f708,f368])). 117.37/116.71 tff(f999,plain,( 117.37/116.71 ~spl30_123 | spl30_124 | spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f978,f707,f997,f994])). 117.37/116.71 tff(f978,plain,( 117.37/116.71 is_index1(sK6) | ~$less(sK6,81) | ~spl30_45), 117.37/116.71 inference(resolution,[],[f708,f356])). 117.37/116.71 tff(f921,plain,( 117.37/116.71 ~spl30_109 | spl30_120 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f885,f687,f919,f896])). 117.37/116.71 tff(f896,plain,( 117.37/116.71 spl30_109 <=> ~$less(sK10,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 117.37/116.71 tff(f919,plain,( 117.37/116.71 spl30_120 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK10)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 117.37/116.71 tff(f885,plain,( 117.37/116.71 ( ! [X43:$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_39), 117.37/116.71 inference(resolution,[],[f688,f461])). 117.37/116.71 tff(f917,plain,( 117.37/116.71 ~spl30_109 | spl30_118 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f882,f687,f914,f896])). 117.37/116.71 tff(f914,plain,( 117.37/116.71 spl30_118 <=> ! [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),sK10)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK10 = X24 | ~$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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 117.37/116.71 tff(f882,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK10)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK10,9) | sK10 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_39), 117.37/116.71 inference(resolution,[],[f688,f440])). 117.37/116.71 tff(f916,plain,( 117.37/116.71 ~spl30_109 | spl30_118 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f881,f687,f914,f896])). 117.37/116.71 tff(f881,plain,( 117.37/116.71 ( ! [X24:$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),sK10)))))) != 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),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_39), 117.37/116.71 inference(resolution,[],[f688,f440])). 117.37/116.71 tff(f912,plain,( 117.37/116.71 spl30_112 | spl30_116 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f880,f687,f910,f903])). 117.37/116.71 tff(f903,plain,( 117.37/116.71 spl30_112 <=> $less(81,sK10)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 117.37/116.71 tff(f910,plain,( 117.37/116.71 spl30_116 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 117.37/116.71 tff(f880,plain,( 117.37/116.71 ( ! [X19:$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_39), 117.37/116.71 inference(resolution,[],[f688,f425])). 117.37/116.71 tff(f908,plain,( 117.37/116.71 spl30_112 | spl30_114 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f879,f687,f906,f903])). 117.37/116.71 tff(f906,plain,( 117.37/116.71 spl30_114 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 117.37/116.71 tff(f879,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_39), 117.37/116.71 inference(resolution,[],[f688,f425])). 117.37/116.71 tff(f901,plain,( 117.37/116.71 ~spl30_109 | spl30_110 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f874,f687,f899,f896])). 117.37/116.71 tff(f899,plain,( 117.37/116.71 spl30_110 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 117.37/116.71 tff(f874,plain,( 117.37/116.71 ( ! [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) | ~$less(sK10,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_39), 117.37/116.71 inference(resolution,[],[f688,f368])). 117.37/116.71 tff(f894,plain,( 117.37/116.71 ~spl30_105 | spl30_106 | spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f873,f687,f892,f889])). 117.37/116.71 tff(f892,plain,( 117.37/116.71 spl30_106 <=> is_index1(sK10)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 117.37/116.71 tff(f873,plain,( 117.37/116.71 is_index1(sK10) | ~$less(sK10,81) | ~spl30_39), 117.37/116.71 inference(resolution,[],[f688,f356])). 117.37/116.71 tff(f872,plain,( 117.37/116.71 ~spl30_91 | spl30_102 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f836,f683,f870,f847])). 117.37/116.71 tff(f847,plain,( 117.37/116.71 spl30_91 <=> ~$less(sK8,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 117.37/116.71 tff(f870,plain,( 117.37/116.71 spl30_102 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK8)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 117.37/116.71 tff(f836,plain,( 117.37/116.71 ( ! [X43:$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_37), 117.37/116.71 inference(resolution,[],[f684,f461])). 117.37/116.71 tff(f868,plain,( 117.37/116.71 ~spl30_91 | spl30_100 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f833,f683,f865,f847])). 117.37/116.71 tff(f865,plain,( 117.37/116.71 spl30_100 <=> ! [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),sK8)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK8 = X24 | ~$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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 117.37/116.71 tff(f833,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK8)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK8,9) | sK8 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_37), 117.37/116.71 inference(resolution,[],[f684,f440])). 117.37/116.71 tff(f867,plain,( 117.37/116.71 ~spl30_91 | spl30_100 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f832,f683,f865,f847])). 117.37/116.71 tff(f832,plain,( 117.37/116.71 ( ! [X24:$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),sK8)))))) != 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),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_37), 117.37/116.71 inference(resolution,[],[f684,f440])). 117.37/116.71 tff(f863,plain,( 117.37/116.71 spl30_94 | spl30_98 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f831,f683,f861,f854])). 117.37/116.71 tff(f854,plain,( 117.37/116.71 spl30_94 <=> $less(81,sK8)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 117.37/116.71 tff(f861,plain,( 117.37/116.71 spl30_98 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 117.37/116.71 tff(f831,plain,( 117.37/116.71 ( ! [X19:$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_37), 117.37/116.71 inference(resolution,[],[f684,f425])). 117.37/116.71 tff(f859,plain,( 117.37/116.71 spl30_94 | spl30_96 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f830,f683,f857,f854])). 117.37/116.71 tff(f857,plain,( 117.37/116.71 spl30_96 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 117.37/116.71 tff(f830,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_37), 117.37/116.71 inference(resolution,[],[f684,f425])). 117.37/116.71 tff(f852,plain,( 117.37/116.71 ~spl30_91 | spl30_92 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f825,f683,f850,f847])). 117.37/116.71 tff(f850,plain,( 117.37/116.71 spl30_92 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 117.37/116.71 tff(f825,plain,( 117.37/116.71 ( ! [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) | ~$less(sK8,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_37), 117.37/116.71 inference(resolution,[],[f684,f368])). 117.37/116.71 tff(f845,plain,( 117.37/116.71 ~spl30_87 | spl30_88 | spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f824,f683,f843,f840])). 117.37/116.71 tff(f843,plain,( 117.37/116.71 spl30_88 <=> is_index1(sK8)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 117.37/116.71 tff(f824,plain,( 117.37/116.71 is_index1(sK8) | ~$less(sK8,81) | ~spl30_37), 117.37/116.71 inference(resolution,[],[f684,f356])). 117.37/116.71 tff(f823,plain,( 117.37/116.71 ~spl30_73 | spl30_84 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f787,f679,f821,f798])). 117.37/116.71 tff(f798,plain,( 117.37/116.71 spl30_73 <=> ~$less(sK4,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 117.37/116.71 tff(f821,plain,( 117.37/116.71 spl30_84 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK4)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 117.37/116.71 tff(f787,plain,( 117.37/116.71 ( ! [X43:$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_35), 117.37/116.71 inference(resolution,[],[f680,f461])). 117.37/116.71 tff(f819,plain,( 117.37/116.71 ~spl30_73 | spl30_82 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f784,f679,f816,f798])). 117.37/116.71 tff(f816,plain,( 117.37/116.71 spl30_82 <=> ! [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),sK4)))))) != tb2t1(get(int,int,t2tb(X20),t2tb1($sum(tb2t1(get2(int,t2tb2(X21),X22)),tb2t1(get2(int,t2tb2(X23),X24)))))) | ~valid_chunk1(X20,X22,X21,X23) | sK4 = X24 | ~$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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 117.37/116.71 tff(f784,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK4)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))),1) | $less(9,tb2t1(get(int,int,t2tb(X25),t2tb1($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) | ~$less(sK4,9) | sK4 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_35), 117.37/116.71 inference(resolution,[],[f680,f440])). 117.37/116.71 tff(f818,plain,( 117.37/116.71 ~spl30_73 | spl30_82 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f783,f679,f816,f798])). 117.37/116.71 tff(f783,plain,( 117.37/116.71 ( ! [X24:$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),sK4)))))) != 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),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_35), 117.37/116.71 inference(resolution,[],[f680,f440])). 117.37/116.71 tff(f814,plain,( 117.37/116.71 spl30_76 | spl30_80 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f782,f679,f812,f805])). 117.37/116.71 tff(f805,plain,( 117.37/116.71 spl30_76 <=> $less(81,sK4)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 117.37/116.71 tff(f812,plain,( 117.37/116.71 spl30_80 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 117.37/116.71 tff(f782,plain,( 117.37/116.71 ( ! [X19:$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_35), 117.37/116.71 inference(resolution,[],[f680,f425])). 117.37/116.71 tff(f810,plain,( 117.37/116.71 spl30_76 | spl30_78 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f781,f679,f808,f805])). 117.37/116.71 tff(f808,plain,( 117.37/116.71 spl30_78 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 117.37/116.71 tff(f781,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_35), 117.37/116.71 inference(resolution,[],[f680,f425])). 117.37/116.71 tff(f803,plain,( 117.37/116.71 ~spl30_73 | spl30_74 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f776,f679,f801,f798])). 117.37/116.71 tff(f801,plain,( 117.37/116.71 spl30_74 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 117.37/116.71 tff(f776,plain,( 117.37/116.71 ( ! [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) | ~$less(sK4,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_35), 117.37/116.71 inference(resolution,[],[f680,f368])). 117.37/116.71 tff(f796,plain,( 117.37/116.71 ~spl30_69 | spl30_70 | spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f775,f679,f794,f791])). 117.37/116.71 tff(f794,plain,( 117.37/116.71 spl30_70 <=> is_index1(sK4)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 117.37/116.71 tff(f775,plain,( 117.37/116.71 is_index1(sK4) | ~$less(sK4,81) | ~spl30_35), 117.37/116.71 inference(resolution,[],[f680,f356])). 117.37/116.71 tff(f774,plain,( 117.37/116.71 ~spl30_55 | spl30_66 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f738,f675,f772,f749])). 117.37/116.71 tff(f749,plain,( 117.37/116.71 spl30_55 <=> ~$less(sK0,9)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 117.37/116.71 tff(f772,plain,( 117.37/116.71 spl30_66 <=> ! [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($sum(tb2t1(get2(int,t2tb2(X42),X43)),tb2t1(get2(int,t2tb2(X44),sK0)))) | ~is_index1(X43))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 117.37/116.71 tff(f738,plain,( 117.37/116.71 ( ! [X43:$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_33), 117.37/116.71 inference(resolution,[],[f676,f461])). 117.37/116.71 tff(f770,plain,( 117.37/116.71 ~spl30_55 | spl30_64 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f735,f675,f767,f749])). 117.37/116.71 tff(f767,plain,( 117.37/116.71 spl30_64 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 117.37/116.71 tff(f735,plain,( 117.37/116.71 ( ! [X28:array_int,X26:array_int,X29:$int,X27:$int,X25:map_int_int] : (tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),sK0)))))) != tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),X29)))))) | $less(tb2t1(get(int,int,t2tb(X25),t2tb1($sum(tb2t1(get2(int,t2tb2(X26),X27)),tb2t1(get2(int,t2tb2(X28),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) | ~$less(sK0,9) | sK0 = X29 | ~valid_chunk1(X25,X27,X26,X28)) ) | ~spl30_33), 117.37/116.71 inference(resolution,[],[f676,f440])). 117.37/116.71 tff(f769,plain,( 117.37/116.71 ~spl30_55 | spl30_64 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f734,f675,f767,f749])). 117.37/116.71 tff(f734,plain,( 117.37/116.71 ( ! [X24:$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_33), 117.37/116.71 inference(resolution,[],[f676,f440])). 117.37/116.71 tff(f765,plain,( 117.37/116.71 spl30_58 | spl30_62 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f733,f675,f763,f756])). 117.37/116.71 tff(f756,plain,( 117.37/116.71 spl30_58 <=> $less(81,sK0)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 117.37/116.71 tff(f763,plain,( 117.37/116.71 spl30_62 <=> ! [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) | $less(X19,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 117.37/116.71 tff(f733,plain,( 117.37/116.71 ( ! [X19:$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_33), 117.37/116.71 inference(resolution,[],[f676,f425])). 117.37/116.71 tff(f761,plain,( 117.37/116.71 spl30_58 | spl30_60 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f732,f675,f759,f756])). 117.37/116.71 tff(f759,plain,( 117.37/116.71 spl30_60 <=> ! [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) | $less(X16,0))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 117.37/116.71 tff(f732,plain,( 117.37/116.71 ( ! [X14:map_int_int,X15:map_int_int,X16:$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_33), 117.37/116.71 inference(resolution,[],[f676,f425])). 117.37/116.71 tff(f754,plain,( 117.37/116.71 ~spl30_55 | spl30_56 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f727,f675,f752,f749])). 117.37/116.71 tff(f752,plain,( 117.37/116.71 spl30_56 <=> ! [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))), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 117.37/116.71 tff(f727,plain,( 117.37/116.71 ( ! [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) | ~$less(sK0,9) | ~chunk_valid_indexes1(X0,X2)) ) | ~spl30_33), 117.37/116.71 inference(resolution,[],[f676,f368])). 117.37/116.71 tff(f747,plain,( 117.37/116.71 ~spl30_51 | spl30_52 | spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f726,f675,f745,f742])). 117.37/116.71 tff(f745,plain,( 117.37/116.71 spl30_52 <=> is_index1(sK0)), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 117.37/116.71 tff(f726,plain,( 117.37/116.71 is_index1(sK0) | ~$less(sK0,81) | ~spl30_33), 117.37/116.71 inference(resolution,[],[f676,f356])). 117.37/116.71 tff(f721,plain,( 117.37/116.71 ~spl30_49 | spl30_28 | spl30_19), 117.37/116.71 inference(avatar_split_clause,[],[f714,f602,f719,f716])). 117.37/116.71 tff(f714,plain,( 117.37/116.71 $less(sK14,0) | ~$less(sK14,81) | ~spl30_19), 117.37/116.71 inference(resolution,[],[f603,f356])). 117.37/116.71 tff(f603,plain,( 117.37/116.71 ~is_index1(sK14) | ~spl30_19), 117.37/116.71 inference(avatar_component_clause,[],[f602])). 117.37/116.71 tff(f713,plain,( 117.37/116.71 ~spl30_47), 117.37/116.71 inference(avatar_split_clause,[],[f219,f711])). 117.37/116.71 tff(f219,plain,( 117.37/116.71 ~$less(sK2,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f167,plain,( 117.37/116.71 ((~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)), 117.37/116.71 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])). 117.37/116.71 tff(f165,plain,( 117.37/116.71 ? [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))), 117.37/116.71 introduced(choice_axiom,[])). 117.37/116.71 tff(f166,plain,( 117.37/116.71 ( ! [X6:$int,X4:$int,X2:$int,X0:$int,X12:$int,X10:$int,X8:$int,X7:map_int_int,X5:map_int_int,X3:map_int_int,X1:map_int_int,X13:map_int_int,X11:map_int_int,X9:map_int_int] : (? [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)) => ((81 != X12 | ~is_index1(sK14) | (((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,sK14,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,sK14,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,$sum(sK14,1)) & valid_chunk1(X13,sK14,tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11))))) | ~is_index1(sK14)) & valid_chunk1(X13,sK14,tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7)))) | ~is_index1(sK14) | ~valid_values1(X13) | 81 != X12) & valid_chunk1(X13,sK14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | (valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13) & ~valid_chunk1(X13,sK14,tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3)))) | ~valid_values1(X13)) & valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,X0,t2tb(X1))),tb2t2(mk_array1(int,X2,t2tb(X3))),tb2t2(mk_array1(int,X4,t2tb(X5))),tb2t2(mk_array1(int,X6,t2tb(X7))),tb2t2(mk_array1(int,X8,t2tb(X9))),tb2t2(mk_array1(int,X10,t2tb(X11)))),X13,sK14) & ~$less(80,sK14) & ~$less(sK14,0))) )), 117.37/116.71 introduced(choice_axiom,[])). 117.37/116.71 tff(f131,plain,( 117.37/116.71 ? [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))), 117.37/116.71 inference(flattening,[],[f130])). 117.37/116.71 tff(f130,plain,( 117.37/116.71 ? [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)))), 117.37/116.71 inference(ennf_transformation,[],[f76])). 117.37/116.71 tff(f76,plain,( 117.37/116.71 ~! [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)))))), 117.37/116.71 inference(rectify,[],[f63])). 117.37/116.71 tff(f63,plain,( 117.37/116.71 ~! [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)))))), 117.37/116.71 inference(evaluation,[],[f9])). 117.37/116.71 tff(f9,negated_conjecture,( 117.37/116.71 ~! [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)))))), 117.37/116.71 inference(negated_conjecture,[],[f8])). 117.37/116.71 tff(f8,conjecture,( 117.37/116.71 ! [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)))))), 117.37/116.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_check_valid)). 117.37/116.71 tff(f709,plain,( 117.37/116.71 ~spl30_45), 117.37/116.71 inference(avatar_split_clause,[],[f220,f707])). 117.37/116.71 tff(f220,plain,( 117.37/116.71 ~$less(sK6,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f705,plain,( 117.37/116.71 spl30_42), 117.37/116.71 inference(avatar_split_clause,[],[f221,f703])). 117.37/116.71 tff(f221,plain,( 117.37/116.71 well_formed_sudoku1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))))), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f701,plain,( 117.37/116.71 spl30_20), 117.37/116.71 inference(avatar_split_clause,[],[f222,f699])). 117.37/116.71 tff(f222,plain,( 117.37/116.71 81 = sK12), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f697,plain,( 117.37/116.71 spl30_14), 117.37/116.71 inference(avatar_split_clause,[],[f223,f695])). 117.37/116.71 tff(f223,plain,( 117.37/116.71 valid_values1(sK13)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f693,plain,( 117.37/116.71 ~spl30_41), 117.37/116.71 inference(avatar_split_clause,[],[f224,f691])). 117.37/116.71 tff(f224,plain,( 117.37/116.71 ~$less(sK12,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f689,plain,( 117.37/116.71 ~spl30_39), 117.37/116.71 inference(avatar_split_clause,[],[f225,f687])). 117.37/116.71 tff(f225,plain,( 117.37/116.71 ~$less(sK10,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f685,plain,( 117.37/116.71 ~spl30_37), 117.37/116.71 inference(avatar_split_clause,[],[f226,f683])). 117.37/116.71 tff(f226,plain,( 117.37/116.71 ~$less(sK8,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f681,plain,( 117.37/116.71 ~spl30_35), 117.37/116.71 inference(avatar_split_clause,[],[f227,f679])). 117.37/116.71 tff(f227,plain,( 117.37/116.71 ~$less(sK4,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f677,plain,( 117.37/116.71 ~spl30_33), 117.37/116.71 inference(avatar_split_clause,[],[f228,f675])). 117.37/116.71 tff(f228,plain,( 117.37/116.71 ~$less(sK0,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f673,plain,( 117.37/116.71 ~spl30_1 | ~spl30_29 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f463,f639,f620,f575])). 117.37/116.71 tff(f463,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f230])). 117.37/116.71 tff(f230,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$sum(80,1)) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f672,plain,( 117.37/116.71 ~spl30_1 | ~spl30_27 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f464,f639,f616,f575])). 117.37/116.71 tff(f464,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | ~$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)), 117.37/116.71 inference(evaluation,[],[f231])). 117.37/116.71 tff(f231,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f671,plain,( 117.37/116.71 ~spl30_1 | spl30_24 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f465,f639,f612,f575])). 117.37/116.71 tff(f465,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f232])). 117.37/116.71 tff(f232,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f670,plain,( 117.37/116.71 ~spl30_1 | ~spl30_15 | ~spl30_3 | spl30_22 | spl30_4 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f466,f639,f605,f602,f668,f636,f578,f596,f575])). 117.37/116.71 tff(f605,plain,( 117.37/116.71 spl30_21 <=> 81 != sK12), 117.37/116.71 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 117.37/116.71 tff(f466,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f234])). 117.37/116.71 tff(f234,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f666,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_5 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f472,f639,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 117.37/116.71 tff(f472,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f471])). 117.37/116.71 tff(f471,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f239])). 117.37/116.71 tff(f239,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,$sum(sK14,1)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f665,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | spl30_22 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f474,f639,f605,f602,f599,f596,f593,f590,f587,f584,f636,f578,f575])). 117.37/116.71 tff(f474,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(evaluation,[],[f473])). 117.37/116.71 tff(f473,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f240])). 117.37/116.71 tff(f240,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f664,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | spl30_10 | spl30_22 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f663,f639,f605,f602,f599,f596,f593,f636,f645,f584,f578,f575])). 117.37/116.71 tff(f663,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(global_subsumption,[],[f478])). 117.37/116.71 tff(f478,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f477])). 117.37/116.71 tff(f477,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f242])). 117.37/116.71 tff(f242,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f662,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | spl30_10 | spl30_22 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f478,f639,f605,f602,f599,f596,f593,f636,f645,f584,f578,f575])). 117.37/116.71 tff(f661,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | spl30_22 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f660,f639,f605,f602,f599,f596,f593,f636,f587,f584,f578,f575])). 117.37/116.71 tff(f660,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.71 inference(global_subsumption,[],[f482])). 117.37/116.71 tff(f482,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(evaluation,[],[f481])). 117.37/116.71 tff(f481,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f244])). 117.37/116.71 tff(f244,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f659,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | spl30_22 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f482,f639,f605,f602,f599,f596,f593,f636,f587,f584,f578,f575])). 117.37/116.71 tff(f658,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_15 | ~spl30_7 | spl30_16 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f657,f639,f605,f602,f636,f654,f584,f596,f578,f575])). 117.37/116.71 tff(f657,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(global_subsumption,[],[f486])). 117.37/116.71 tff(f486,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f485])). 117.37/116.71 tff(f485,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f246])). 117.37/116.71 tff(f246,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f656,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_15 | ~spl30_7 | spl30_16 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f486,f639,f605,f602,f636,f654,f584,f596,f578,f575])). 117.37/116.71 tff(f652,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f651,f639,f605,f602,f636,f596,f593,f590,f587,f584,f578,f575])). 117.37/116.71 tff(f651,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.71 inference(global_subsumption,[],[f492])). 117.37/116.71 tff(f492,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(evaluation,[],[f491])). 117.37/116.71 tff(f491,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f250])). 117.37/116.71 tff(f250,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f650,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f492,f639,f605,f602,f636,f596,f593,f590,f587,f584,f578,f575])). 117.37/116.71 tff(f649,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | spl30_10 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f648,f639,f605,f602,f636,f596,f593,f645,f584,f578,f575])). 117.37/116.71 tff(f648,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(global_subsumption,[],[f496])). 117.37/116.71 tff(f496,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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)), 117.37/116.71 inference(evaluation,[],[f495])). 117.37/116.71 tff(f495,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f252])). 117.37/116.71 tff(f252,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(cnf_transformation,[],[f167])). 117.37/116.71 tff(f647,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | spl30_10 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f496,f639,f605,f602,f636,f596,f593,f645,f584,f578,f575])). 117.37/116.71 tff(f643,plain,( 117.37/116.71 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.71 inference(avatar_split_clause,[],[f642,f639,f605,f602,f636,f596,f593,f587,f584,f578,f575])). 117.37/116.71 tff(f642,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.71 inference(global_subsumption,[],[f500])). 117.37/116.71 tff(f500,plain,( 117.37/116.71 valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,81) | 81 != sK12 | ~is_index1(sK14) | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(evaluation,[],[f499])). 117.37/116.71 tff(f499,plain,( 117.37/116.71 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.71 inference(duplicate_literal_removal,[],[f254])). 117.37/116.72 tff(f254,plain,( 117.37/116.72 $less(80,0) | valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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,$sum(sK14,1)) | ~is_index1(sK14) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~is_index1(sK14) | ~valid_values1(sK13) | 81 != sK12 | valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_values1(sK13) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f641,plain,( 117.37/116.72 ~spl30_1 | ~spl30_3 | ~spl30_7 | ~spl30_9 | ~spl30_13 | ~spl30_15 | spl30_22 | ~spl30_19 | ~spl30_21 | spl30_30), 117.37/116.72 inference(avatar_split_clause,[],[f500,f639,f605,f602,f636,f596,f593,f587,f584,f578,f575])). 117.37/116.72 tff(f634,plain,( 117.37/116.72 ~spl30_1 | ~spl30_29 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f501,f608,f620,f575])). 117.37/116.72 tff(f501,plain,( 117.37/116.72 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(evaluation,[],[f255])). 117.37/116.72 tff(f255,plain,( 117.37/116.72 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f633,plain,( 117.37/116.72 ~spl30_1 | ~spl30_27 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f502,f608,f616,f575])). 117.37/116.72 tff(f502,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(evaluation,[],[f256])). 117.37/116.72 tff(f256,plain,( 117.37/116.72 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f632,plain,( 117.37/116.72 ~spl30_1 | spl30_24 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f503,f608,f612,f575])). 117.37/116.72 tff(f503,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(evaluation,[],[f257])). 117.37/116.72 tff(f257,plain,( 117.37/116.72 $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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f631,plain,( 117.37/116.72 ~spl30_1 | ~spl30_3 | ~spl30_5 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f509,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 117.37/116.72 tff(f509,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(evaluation,[],[f508])). 117.37/116.72 tff(f508,plain,( 117.37/116.72 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.72 inference(duplicate_literal_removal,[],[f264])). 117.37/116.72 tff(f264,plain,( 117.37/116.72 $less(80,0) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | 81 != sK12 | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f630,plain,( 117.37/116.72 ~spl30_1 | ~spl30_29 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f629,f608,f620,f575])). 117.37/116.72 tff(f629,plain,( 117.37/116.72 ~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) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.72 inference(global_subsumption,[],[f549])). 117.37/116.72 tff(f549,plain,( 117.37/116.72 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(duplicate_literal_removal,[],[f306])). 117.37/116.72 tff(f306,plain,( 117.37/116.72 ~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) | ~$less(sK14,0) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f628,plain,( 117.37/116.72 ~spl30_1 | ~spl30_27 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f627,f608,f616,f575])). 117.37/116.72 tff(f627,plain,( 117.37/116.72 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(global_subsumption,[],[f550])). 117.37/116.72 tff(f550,plain,( 117.37/116.72 ~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) | ~$less(80,sK14) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.72 inference(duplicate_literal_removal,[],[f307])). 117.37/116.72 tff(f307,plain,( 117.37/116.72 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | ~$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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f626,plain,( 117.37/116.72 ~spl30_1 | spl30_24 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f625,f608,f612,f575])). 117.37/116.72 tff(f625,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(global_subsumption,[],[f551])). 117.37/116.72 tff(f551,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(duplicate_literal_removal,[],[f308])). 117.37/116.72 tff(f308,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f624,plain,( 117.37/116.72 ~spl30_1 | ~spl30_3 | ~spl30_5 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f623,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 117.37/116.72 tff(f623,plain,( 117.37/116.72 ~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,$sum(sK14,1)) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,0)), 117.37/116.72 inference(global_subsumption,[],[f558])). 117.37/116.72 tff(f558,plain,( 117.37/116.72 ~valid1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13) | 81 != sK12 | ~is_index1(sK14) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7)))) | ~valid_values1(sK13) | ~chunk_valid_indexes1(tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_chunk1(sK13,sK14,tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))) | ~valid_up_to1(mk_sudoku_chunks1(tb2t2(mk_array1(int,sK0,t2tb(sK1))),tb2t2(mk_array1(int,sK2,t2tb(sK3))),tb2t2(mk_array1(int,sK4,t2tb(sK5))),tb2t2(mk_array1(int,sK6,t2tb(sK7))),tb2t2(mk_array1(int,sK8,t2tb(sK9))),tb2t2(mk_array1(int,sK10,t2tb(sK11)))),sK13,$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)), 117.37/116.72 inference(duplicate_literal_removal,[],[f315])). 117.37/116.72 tff(f315,plain,( 117.37/116.72 ~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)), 117.37/116.72 inference(cnf_transformation,[],[f167])). 117.37/116.72 tff(f622,plain,( 117.37/116.72 ~spl30_1 | ~spl30_29 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f549,f608,f620,f575])). 117.37/116.72 tff(f618,plain,( 117.37/116.72 ~spl30_1 | ~spl30_27 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f550,f608,f616,f575])). 117.37/116.72 tff(f614,plain,( 117.37/116.72 ~spl30_1 | spl30_24 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f551,f608,f612,f575])). 117.37/116.72 tff(f610,plain,( 117.37/116.72 ~spl30_1 | ~spl30_3 | ~spl30_5 | ~spl30_7 | ~spl30_9 | ~spl30_11 | ~spl30_13 | ~spl30_15 | ~spl30_17 | ~spl30_19 | ~spl30_21 | ~spl30_23), 117.37/116.72 inference(avatar_split_clause,[],[f558,f608,f605,f602,f599,f596,f593,f590,f587,f584,f581,f578,f575])). 117.37/116.72 % SZS output end Proof for theBenchmark 117.37/116.72 % ------------------------------ 117.37/116.72 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 117.37/116.72 % Termination reason: Refutation 117.37/116.72 117.37/116.72 % Memory used [KB]: 10874 117.37/116.72 % Time elapsed: 1.185 s 117.37/116.72 % ------------------------------ 117.37/116.72 % ------------------------------ 117.37/116.72 % Success in time 116.392 s 117.37/116.72 EOF